News <2005>

(10⁸⁶⁷-1)/9 = (1)₈₆₇_<867> = 3 · 37 · 613 · 42773 · 210631 · 2071723 · 52986961 · 93101929 · 1112647111_<10> · 5363222357_<10> · 234771432523_<12> · 6270681177984151_<16> · 13168164561429877_<17> · 93195753455238027770502373_<26> · 25086158646798685749029022942725879293529996353937930044688310225209792405267161387550045665503080767367139652501504645587640324255739525766942448322852994756555563269219516158897234150632016254115138596672215506548424356751044570760748443769_<242> · C500

C500 = P35 · C465

P35 = 74451201112778571232641337987561693_<35>

C465 = [880749077926577843124022815543905243436243176981401822934212608916166210959442844004644678747282196938320657996123515308248887369738488527950161888653706681327573251104889523953376829693033793283094622861344739155192294195184259873540811658992698965037197713469231389139638849886390678504680208926869468306142739078126584537647973856670716121049791242618239094923624268494318233201634115438047557084451257111644843007270532012304405353201017823761171061173636448711_<465>]

Reference: Factorizations of Repunit Numbers (Yousuke Koide)

Dec 28, 2005

By Sinkiti Sibata / GGNFS-0.77.1

(10¹⁷²+17)/9 = (1)₁₇₁3_<172> = 3 · 7 · 72168249258114728606726201031397_<32> · C138

C138 = P56 · P83

P56 = 63400031508097228233880422309192926529285713463921363067_<56>

P83 = 11563852734794061499333658649310855699552076107764096814479223746909899650565236147_<83>

Number: 11113_172
N=733148627740939799927300997517632842383966933831900770855308243545825232400868389092834346740014256341748837898283664204679161320979182849
  ( 138 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=63400031508097228233880422309192926529285713463921363067 (pp56)
 r2=11563852734794061499333658649310855699552076107764096814479223746909899650565236147 (pp83)
Version: GGNFS-0.77.1
Total time: -596245.03 hours.
Scaled time: -396502.95 units (timescale=0.665).
Factorization parameters were as follows:
name: 11113_172
n: 733148627740939799927300997517632842383966933831900770855308243545825232400868389092834346740014256341748837898283664204679161320979182849
m: 10000000000000000000000000000000000
c5: 100
c0: 17
skew: 3
type: snfs
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [3000000, 9100001)
Relations: rels:6487146, finalFF:930680
Initial matrix: 825809 x 930680 with sparse part having weight 68493812.
Pruned matrix : 788756 x 792949 with weight 49116979.
Total sieving time: -596270.61 hours.
Total relation processing time: 1.42 hours.
Matrix solve time: 23.87 hours.
Time per square root: 0.29 hours.
Prototype def-par.txt line would be:
snfs,172,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,48,48,2.6,2.6,100000
total time: -596245.03 hours.
 --------- CPU info (if available) ----------

Note: The informations of the elapsed time are something wrong. Corrected sieving time is 252.63 hours and total time is 278.21 hours.

Dec 24, 2005

The repunit factor tables, Factorizations of 11...11 (Repunit) and Factorizations of 100...001, were updated in response to the changes of Factorizations of Repunit Numbers maintained by Yousuke Koide. There are more than 300 factors which have been imported and four corrected factorizations; (10¹⁴⁸⁸-1)/9, (10¹⁶²⁶-1)/9, 10¹¹¹⁶+1 and 10¹⁸⁶⁰+1.

Dec 15, 2005

By Sinkiti Sibata / GGNFS-0.77.1

(10¹⁷²+53)/9 = (1)₁₇₁7_<172> = C172

C172 = P61 · P111

P61 = 1820564273244167614352936931494044490043637812425486039550179_<61>

P111 = 610311389408492932205757446216163980731782153242779699711015601594898956611692200384114483457561447170835483023_<111>

Number: 11117_172
N=1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111117
  ( 172 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=1820564273244167614352936931494044490043637812425486039550179 (pp61)
 r2=610311389408492932205757446216163980731782153242779699711015601594898956611692200384114483457561447170835483023 (pp111)
Version: GGNFS-0.77.1
Total time: 324.90 hours.
Scaled time: 216.06 units (timescale=0.665).
Factorization parameters were as follows:
name: 11117_172
n: 1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111117
m: 10000000000000000000000000000000000
c5: 100
c0: 53
skew: 3
type: snfs
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [3000000, 10500001)
Relations: rels:6689497, finalFF:941034
Initial matrix: 825039 x 941034 with sparse part having weight 80343340.
Pruned matrix : 789261 x 793450 with weight 57498680.
Total sieving time: 297.79 hours.
Total relation processing time: 2.20 hours.
Matrix solve time: 24.62 hours.
Time per square root: 0.29 hours.
Prototype def-par.txt line would be:
snfs,172,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,48,48,2.6,2.6,100000
total time: 324.90 hours.
 --------- CPU info (if available) ----------

Dec 1, 2005

By Sinkiti Sibata / GGNFS-0.77.1

(10¹⁶⁷+53)/9 = (1)₁₆₆7_<167> = 367 · 3779 · C160

C160 = P41 · P120

P41 = 72180524179814281371646723253295317425753_<41>

P120 = 110992722143284079668473710836385761364736707416721224780341636632728276454533977666549953684709379743979990569220351273_<120>

Number: 11117_167
N=8011512864446724521005665982243122656982990837152621803636698080609759448718185981983549640174916962672038225812020906523510545594441035545720622363160756533569
  ( 160 digits)
SNFS difficulty: 167 digits.
Divisors found:
 r1=72180524179814281371646723253295317425753 (pp41)
 r2=110992722143284079668473710836385761364736707416721224780341636632728276454533977666549953684709379743979990569220351273 (pp120)
Version: GGNFS-0.77.1
Total time: 191.80 hours.
Scaled time: 127.74 units (timescale=0.666).
Factorization parameters were as follows:
name: 1111_167
n: 8011512864446724521005665982243122656982990837152621803636698080609759448718185981983549640174916962672038225812020906523510545594441035545720622363160756533569
m: 1000000000000000000000000000000000
c5: 100
c0: 53
skew: 3
type: snfs
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [2500000, 6900001)
Relations: rels:6266779, finalFF:815614
Initial matrix: 696598 x 815614 with sparse part having weight 65714425.
Pruned matrix : 662725 x 666271 with weight 43445378.
Total sieving time: 173.36 hours.
Total relation processing time: 0.74 hours.
Matrix solve time: 17.46 hours.
Time per square root: 0.24 hours.
Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,48,48,2.5,2.5,100000
total time: 191.80 hours.
 --------- CPU info (if available) ----------

November 2005

Nov 30, 2005

By Yousuke Koide / GMP-ECM

10⁴⁹⁷+1 = 1(0)₄₉₆1_<498> = 11 · 290249 · 909091 · 31321069464181068355415209323405389541706979493156189716729115659_<65> · C421

C421 = P45 · C376

P45 = 257206104226396960131527490253249591680919459_<45>

C376 = [4276725442844752084195044656852273452212189375274225952303705838930103356448606379274091472971879572677521453500151622763813191162899831949211457740137364703233755308405775264223457732676289894608533653739990364258897375954976343843923488590427317885165863553810505710052210760654344760310403003777839499733979012393924648170070669849341581368014258278534406166148949196622329_<376>]

Reference: Factorizations of Repunit Numbers (Yousuke Koide)

Nov 28, 2005

Jason Papadopoulos's Msieve Version 1.03 was released.

Nov 25, 2005

By Robert Backstrom / GGNFS-0.77.1-20050930-athlon gnfs

(32·10¹⁶⁰-23)/9 = 3(5)₁₅₉3_<161> = 3² · 7 · 16878144188469281_<17> · 189434529856544291359630189822681_<33> · C111

C111 = P35(4118...) · P35(4759...) · P41

P35(4118...) = 41188122897353797743078248493349093_<35>

P35(4759...) = 47593069691496385363636147203850481_<35>

P41 = 90046609522723902890416032436182592043387_<41>

Number: n
N=1765155955283971894965184413924047407319434606138080431576
95885317846927354528755225679405187762112269145483671
  ( 111 digits)
Divisors found:

 r1=41188122897353797743078248493349093 (pp35)
 r2=47593069691496385363636147203850481 (pp35)
 r3=90046609522723902890416032436182592043387 (pp41)

Version: GGNFS-0.77.1-20050930-athlon
Total time: 28.34 hours.
Scaled time: 18.91 units (timescale=0.667).
Factorization parameters were as follows:
#  355555...555553   (159 5's)
#  (32*10^160-23)/9
name: n
n: 176515595528397189496518441392404740731943460613808043157
695885317846927354528755225679405187762112269145483671
skew: 21821.03
# norm 2.65e+014
c5: 3900
c4: 640497854
c3: 131320705402
c2: -172149383147910141
c1: -1100165321270460367988
c0: 8860814731706342417727825
# alpha -4.35
Y1: 11634369223
Y0: -2143599354655530493828
# Murphy_E 9.26e-010
# M
100301042918189501491054762514367770434534098282913556488800
758058426232457447529369045821047415529707263817393
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [640000, 1840001)
Primes: RFBsize:230209, AFBsize:230031, largePrimes:7309111
encountered
Relations: rels:7052907, finalFF:531991
Max relations in full relation-set: 28
Initial matrix: 460320 x 531991 with sparse part having
weight 41456589.
Pruned matrix : 399066 x 401431 with weight 25779177.
Total sieving time: 23.72 hours.
Total relation processing time: 0.51 hours.
Matrix solve time: 3.94 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
gnfs,110,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,max
Time,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 28.34 hours.
 --------- CPU info (if available) ----------
Athlon 64 3400+, using Win 2000 and Cygwin

Nov 23, 2005

(10¹⁶⁴+53)/9 = (1)₁₆₃7_<164> = 23 · 1181 · 1072846141_<10> · 4979637490110920135575357_<25> · C125

C125 = P45 · P81

P45 = 579666422697751975195269908990369569487929393_<45>

P81 = 132088935761780860187538433903244358628257819621586279422515597881892186313365999_<81>

Number: 11117_164
N=76567520870984671402216372146068685131617912693435529484170929976066856392989540304421179373251166466237815528208010678908607
  ( 125 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=579666422697751975195269908990369569487929393 (pp45)
 r2=132088935761780860187538433903244358628257819621586279422515597881892186313365999 (pp81)
Version: GGNFS-0.77.1
Total time: 129.67 hours.
Scaled time: 86.23 units (timescale=0.665).
Factorization parameters were as follows:
name: 11117_164
n: 76567520870984671402216372146068685131617912693435529484170929976066856392989540304421179373251166466237815528208010678908607
m: 1000000000000000000000000000000000
c5: 1
c0: 530
skew: 3
type:snfs
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [2500000, 5400001)
Relations: rels:6106429, finalFF:833852
Initial matrix: 696993 x 833852 with sparse part having weight 50667968.
Pruned matrix : 649687 x 653235 with weight 30381938.
Total sieving time: 116.64 hours.
Total relation processing time: 0.64 hours.
Matrix solve time: 12.16 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
type:snfs,165,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,48,48,2.5,2.5,100000
total time: 129.67 hours.
 --------- CPU info (if available) ----------

Nov 20, 2005 (2nd)

Jason Papadopoulos's Msieve Version 1.02 was released.

Nov 20, 2005

By Kenichiro Yamaguchi / GGNFS-0.77.1

10¹⁷⁵-3 = (9)₁₇₄7_<175> = 7 · 1597 · 29881 · 172999063 · C159

C159 = P49 · P110

P49 = 9268821528859618014021841051698997978389808253059_<49>

P110 = 18669541205894303564860318174560332272211175169567548259092720680541673892290464197693810037820913078505439459_<110>

Number: 99997_175
N=173044645463124875308654250148307327141282691858450047624533570449134406107713916877846274540355538407060169874982484056017148608411257699070904980141876055081
  ( 159 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=9268821528859618014021841051698997978389808253059 (pp49)
 r2=18669541205894303564860318174560332272211175169567548259092720680541673892290464197693810037820913078505439459 (pp110)
Version: GGNFS-0.77.1
Total time: 291.77 hours.
Scaled time: 228.75 units (timescale=0.784).
Factorization parameters were as follows:
name: 99997_175
n: 173044645463124875308654250148307327141282691858450047624533570449134406107713916877846274540355538407060169874982484056017148608411257699070904980141876055081
m: 100000000000000000000000000000000000 
c5: 1
c0: -3
type: snfs
skew: 1
qintsize: 10000
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [3700000, 9880001)
Relations: rels:6823811, finalFF:1152346
Initial matrix: 1003587 x 1152346 with sparse part having weight 62879673.
Pruned matrix : 940067 x 945148 with weight 42644863.
Total sieving time: 274.39 hours.
Total relation processing time: 0.55 hours.
Matrix solve time: 16.56 hours.
Time per square root: 0.27 hours.
Prototype def-par.txt line would be:
snfs,175,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000
total time: 291.77 hours.
 --------- CPU info (if available) ----------

Nov 19, 2005

By Bruce Dodson / GMP-ECM

10³³⁷+1 = 1(0)₃₃₆1_<338> = 11 · 121321 · 2251702571_<10> · 55027074590990508852961_<23> · C299

C299 = P50 · C249

P50 = 71489171229856447321502908314697600957469967193571_<50>

C249 = [845947911267668011260418402905221798709538045194622532077124717667915696516323339976849125310476270253990769838122404582089780235313355012026006342260665712122542154882083354742870813133191883569094583330071977149328116963184987608368374283219788971_<249>]

Reference: Factorizations of Repunit Numbers (Yousuke Koide)

Nov 17, 2005

By Sinkiti Sibata / GGNFS-0.77.1

(10¹⁶²+53)/9 = (1)₁₆₁7_<162> = 3 · 17 · 122719115923_<12> · 8289991952909_<13> · 2341170250453601111_<19> · C117

C117 = P53 · P65

P53 = 24506725673911022704067759597717156724027838359864899_<53>

P65 = 37325247945845446415539113922343529144726238473977360155829584229_<65>

Number: 11117_162
N=914719612119545263675461937241443063013555037248436307849707742871314393654601415900660242680746530526004491781077871
  ( 117 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=24506725673911022704067759597717156724027838359864899 (pp53)
 r2=37325247945845446415539113922343529144726238473977360155829584229 (pp65)
Version: GGNFS-0.77.1
Total time: 105.69 hours.
Scaled time: 70.39 units (timescale=0.666).
Factorization parameters were as follows:
name: 11117_162
n: 914719612119545263675461937241443063013555037248436307849707742871314393654601415900660242680746530526004491781077871
m: 100000000000000000000000000000000
c5: 100
c0: 53
skew: 2
type: snfs
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [2250000, 4750001)
Relations: rels:5972203, finalFF:751230
Initial matrix: 631348 x 751230 with sparse part having weight 49104424.
Pruned matrix : 595482 x 598702 with weight 29675461.
Total sieving time: 94.57 hours.
Total relation processing time: 0.69 hours.
Matrix solve time: 10.23 hours.
Time per square root: 0.20 hours.
Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,48,48,2.3,2.3,100000
total time: 105.69 hours.
 --------- CPU info (if available) ----------

Nov 13, 2005

By Sinkiti Sibata / GGNFS-0.77.1

(10¹⁶¹+53)/9 = (1)₁₆₀7_<161> = 281 · 4013 · C154

C154 = P35 · P58 · P62

P35 = 50739852137588998696251543347050693_<35>

P58 = 3262787785327459169159050401052035323713463022204671436907_<58>

P62 = 59517404782483971274142048942014964043816026944188184646684639_<62>

Number: 11117_161
N=9853306922529458185373613257900356857216813249387099676151361377224297821325453052588971173854998932394194943933205614769003506496334520558284428907750089
  ( 154 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=50739852137588998696251543347050693 (pp35)
 r2=3262787785327459169159050401052035323713463022204671436907 (pp58)
 r3=59517404782483971274142048942014964043816026944188184646684639 (pp62)
Version: GGNFS-0.77.1
Total time: 83.06 hours.
Scaled time: 49.51 units (timescale=0.596).
Factorization parameters were as follows:
name: 11117_161
n: 9853306922529458185373613257900356857216813249387099676151361377224297821325453052588971173854998932394194943933205614769003506496334520558284428907750089
m: 100000000000000000000000000000000
c5: 10
c0: 53
skew: 3
type: snfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [2000000, 3900001)
Relations: rels:5837083, finalFF:702561
Initial matrix: 566664 x 702561 with sparse part having weight 45920716.
Pruned matrix : 526237 x 529134 with weight 25119688.
Total sieving time: 74.33 hours.
Total relation processing time: 0.54 hours.
Matrix solve time: 7.98 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 83.06 hours.
 --------- CPU info (if available) ----------

Nov 9, 2005

By Sinkiti Sibata / GGNFS-0.77.1

(10¹⁵⁸+53)/9 = (1)₁₅₇7_<158> = 29² · 97 · 463247 · 626147 · C141

C141 = P60 · P81

P60 = 985983236774903257591498125826627448246288079036449469432979_<60>

P81 = 476245965444136338163665893620237334994768974375044142478647515154052568234133411_<81>

Number: 11117_158
N=469570538509598273965270891402290886093146419388365280422511467051739803132582009457307720315293338569836222653663259799014426447555609161369
  ( 141 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=985983236774903257591498125826627448246288079036449469432979 (pp60)
 r2=476245965444136338163665893620237334994768974375044142478647515154052568234133411 (pp81)
Version: GGNFS-0.77.1
Total time: 67.58 hours.
Scaled time: 45.08 units (timescale=0.667).
Factorization parameters were as follows:
name: 11117_158
n: 469570538509598273965270891402290886093146419388365280422511467051739803132582009457307720315293338569836222653663259799014426447555609161369
m: 10000000000000000000000000000000
c5: 1000
c0: 53
skew: 2
type: snfs
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [1500000, 3200001)
Relations: rels:5754223, finalFF:563571
Initial matrix: 433663 x 563571 with sparse part having weight 51133785.
Pruned matrix : 408428 x 410660 with weight 26962081.
Total sieving time: 61.35 hours.
Total relation processing time: 0.33 hours.
Matrix solve time: 5.74 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000
total time: 67.58 hours.
 --------- CPU info (if available) ----------

Nov 8, 2005

By Kenichiro Yamaguchi / GGNFS-0.77.1

10¹⁷⁰-3 = (9)₁₆₉7_<170> = 38817280012777264790994290797_<29> · C142

C142 = P69 · P73

P69 = 785177523560258358188968099569100871126763206274307022292736906310723_<69>

P73 = 3281006120624321591156094138451344572368459459917701683211206237910480987_<73>

Number: 99997_170
N=2576172260577855142848298542798072596718901873646661264007524216056015115292366099141617460574776708224208202201460542857840458968464605723601
  ( 142 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=785177523560258358188968099569100871126763206274307022292736906310723 (pp69)
 r2=3281006120624321591156094138451344572368459459917701683211206237910480987 (pp73)
Version: GGNFS-0.77.1
Total time: 117.10 hours.
Scaled time: 131.62 units (timescale=1.124).
Factorization parameters were as follows:
name: 99997_170
n: 2576172260577855142848298542798072596718901873646661264007524216056015115292366099141617460574776708224208202201460542857840458968464605723601 
m: 10000000000000000000000000000000000
c5: 1
c0: -3
type: snfs
skew: 1
qintsize: 10000
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [3000000, 6770001)
Relations: rels:6238207, finalFF:927778
Initial matrix: 825609 x 927778 with sparse part having weight 50425277.
Pruned matrix : 785050 x 789242 with weight 35183083.
Total sieving time: 110.15 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 6.51 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,48,48,2.6,2.6,100000
total time: 117.10 hours.
 --------- CPU info (if available) ----------

Nov 6, 2005

By Sinkiti Sibata / GGNFS-0.77.1

(10¹⁵⁶+53)/9 = (1)₁₅₅7_<156> = 3³ · 243871 · 773779 · 7628621820151_<13> · C130

C130 = P44 · P86

P44 = 80973023481624511633767692358155083219925491_<44>

P86 = 35304509873348597125490432448515136345367528972449377872256910472199043353418974134759_<86>

Number: 11117_156
N=2858712906981900368281118448301739997723969786176745172377611548740090357833579081883869141630888902748695880468417245300173241669
  ( 130 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=80973023481624511633767692358155083219925491 (pp44)
 r2=35304509873348597125490432448515136345367528972449377872256910472199043353418974134759 (pp86)
Version: GGNFS-0.77.1
Total time: 52.52 hours.
Scaled time: 35.03 units (timescale=0.667).
Factorization parameters were as follows:
name: 11117_156
n: 2858712906981900368281118448301739997723969786176745172377611548740090357833579081883869141630888902748695880468417245300173241669
m: 10000000000000000000000000000000
c5: 10
c0: 53
skew: 2
type: snfs
 Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [1500000, 2700001)
Relations: rels:5615157, finalFF:560696
Initial matrix: 433643 x 560696 with sparse part having weight 45021990.
Pruned matrix : 400970 x 403202 with weight 22657062.
Total sieving time: 47.23 hours.
Total relation processing time: 0.29 hours.
Matrix solve time: 4.85 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000
total time: 52.52 hours.
 --------- CPU info (if available) ----------

Nov 4, 2005

By Sinkiti Sibata / GGNFS-0.77.1

(10¹⁵⁵+53)/9 = (1)₁₅₄7_<155> = 233 · 3037 · 107857 · 169803233 · C135

C135 = P50 · P86

P50 = 15565457897782952939101666553930106105882725052823_<50>

P86 = 55080843875587155475209767290120086884583549324550097061432527306270679817057702993679_<86>

Number: 11117_155
N=857358556319807883303961653311890561571369091658335896770480362432033819097213029290292821918924367560869953150832995161829340510105817
  ( 135 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=15565457897782952939101666553930106105882725052823 (pp50)
 r2=55080843875587155475209767290120086884583549324550097061432527306270679817057702993679 (pp86)
Version: GGNFS-0.77.1
Total time: 48.39 hours.
Scaled time: 32.23 units (timescale=0.666).
Factorization parameters were as follows:
name: 11117_155
n: 857358556319807883303961653311890561571369091658335896770480362432033819097213029290292821918924367560869953150832995161829340510105817
m: 10000000000000000000000000000000
c5: 1
c0: 53
skew: 2
type: snfsFactor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [1500000, 2700001)
Relations: rels:5706648, finalFF:592979
Initial matrix: 433781 x 592979 with sparse part having weight 47303127.
Pruned matrix : 394227 x 396459 with weight 21255170.
Total sieving time: 43.27 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 4.71 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,155,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000
total time: 48.39 hours.
 --------- CPU info (if available) ----------

Nov 3, 2005

By Makoto Kamada / GGNFS-0.77.1-20050930-pentium4

(5·10¹⁷⁰+31)/9 = (5)₁₆₉9_<170> = C170

C170 = P77 · P94

P77 = 10324769197737224566684914222305982001893528968121934066755022389561971195587_<77>

P94 = 5380803627816794763419223827948916327062256097990336526388743980119926827911302731685260313357_<94>

Number: 55559_170
N=55555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555559
  ( 170 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=10324769197737224566684914222305982001893528968121934066755022389561971195587 (pp77)
 r2=5380803627816794763419223827948916327062256097990336526388743980119926827911302731685260313357 (pp94)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 188.51 hours.
Scaled time: 115.75 units (timescale=0.614).
Factorization parameters were as follows:
type: snfs
n: 55555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555559
m: 10000000000000000000000000000000000
c5: 5
c0: 31
skew: 3
rlim: 6000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
q0: 3000000
qintsize: 25000
Factor base limits: 6000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [3000000, 8925001)
Primes: RFBsize:412849, AFBsize:217137, largePrimes:6461696 encountered
Relations: rels:6759240, finalFF:709598
Max relations in full relation-set: 28
Initial matrix: 630051 x 709598 with sparse part having weight 95754203.
Pruned matrix : 572543 x 575757 with weight 81682473.
Total sieving time: 161.54 hours.
Total relation processing time: 0.47 hours.
Matrix solve time: 26.36 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,6000000,3000000,27,27,48,48,2.3,2.3,100000
total time: 188.51 hours.
 --------- CPU info (if available) ----------

Note: P77 is the largest factor found by GGNFS in our tables so far. The changes of qintsize were 1000000(3000000-), 500000(7000000-), 100000(8500000-) and 25000(8900000-).

Nov 2, 2005 (2nd)

By Sinkiti Sibata / GGNFS-0.77.1

(10¹⁶⁰+17)/9 = (1)₁₅₉3_<160> = 3³ · 7 · 23² · 53 · 107881 · 301787558315959860024628403_<27> · C121

C121 = P49 · P73

P49 = 2658405350165222545211816611457772806715036944933_<49>

P73 = 2422683311177048724550239437910491994873142257019128245981528735469849839_<73>

Number: 11113_160
N=6440474276189063029469896370990258701549175964742824120735650981327705765751244667703443710331099759156990377210821915787
  ( 121 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=2658405350165222545211816611457772806715036944933 (pp49)
 r2=2422683311177048724550239437910491994873142257019128245981528735469849839 (pp73)
Version: GGNFS-0.77.1
Total time: 59.99 hours.
Scaled time: 39.96 units (timescale=0.666).
Factorization parameters were as follows:
name: 11113_160
n: 6440474276189063029469896370990258701549175964742824120735650981327705765751244667703443710331099759156990377210821915787
m: 100000000000000000000000000000000
c5: 1
c0: 17
skew: 2
type: snfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [2000000, 3400001)
Relations: rels:5785461, finalFF:720044
Initial matrix: 566192 x 720044 with sparse part having weight 43544586.
Pruned matrix : 506039 x 508933 with weight 21456343.
Total sieving time: 52.98 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 6.59 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 59.99 hours.
 --------- CPU info (if available) ----------

Nov 2, 2005

By Tyler Cadigan / GGNFS-0.77.1-20050930-pentium4 gnfs

(7·10¹⁹⁴-43)/9 = (7)₁₉₃3_<194> = 73 · 109 · 3137 · 9001482062398106549_<19> · 54197355242387283113232438971_<29> · 494427323393845610326557724357_<30> · C110

C110 = P43 · P68

P43 = 1081275244876495547140212463963289256888791_<43>

P68 = 11947053709410444515749918449698943779961647139818245895249015990389_<68>

Number: (7*10^194-43)/9
N=12918053425195422867659167365721895242221179503016675627829364459926836953922196214827503153705191131697829699
  ( 110 digits)
Divisors found:
 r1=1081275244876495547140212463963289256888791 (pp43)
 r2=11947053709410444515749918449698943779961647139818245895249015990389 (pp68)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 49.83 hours.
Scaled time: 20.13 units (timescale=0.404).
Factorization parameters were as follows:
name: try
n: 12918053425195422867659167365721895242221179503016675627829364459926836953922196214827503153705191131697829699
skew: 40217.58
# norm 2.28e+015
c5: 22980
c4: -2308719653
c3: -119209020031866
c2: 3825072400142755084
c1: 101184301382580690814260
c0: 20189302016292719852953675
# alpha -6.27
Y1: 249823805609
Y0: -891193184845354492152
# Murphy_E 1.01e-009
# M 3247585310473453904553525590428175069451308527492470094601002246311000322146842698721636642813183484508254259
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1600000, 2400001)
Primes: RFBsize:230209, AFBsize:230488, largePrimes:7738317 encountered
Relations: rels:7912072, finalFF:822785
Max relations in full relation-set: 28
Initial matrix: 460777 x 822785 with sparse part having weight 72672320.
Pruned matrix : 236281 x 238648 with weight 44311067.
Polynomial selection time: 1.54 hours.
Total sieving time: 40.36 hours.
Total relation processing time: 0.59 hours.
Matrix solve time: 6.97 hours.
Time per square root: 0.37 hours.
Prototype def-par.txt line would be:
gnfs,109,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 49.83 hours.
 --------- CPU info (if available) ----------

Nov 1, 2005

By Kenichiro Yamaguchi / GGNFS-0.77.1

10¹⁶⁴-3 = (9)₁₆₃7_<164> = 78059 · C160

C160 = P41 · P119

P41 = 36841398161094229698993656374635785098993_<41>

P119 = 34772900113347798545372640730250755934955225972025356975366115874254163597722740653619367252030365507420285880379259431_<119>

Number: 99997_164
N=1281082258291804916793707323947270654248709309624771006546330339871123124815844425370553043210904572182579843451748036741439167808965013643526050807722363852983
  ( 160 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=36841398161094229698993656374635785098993 (pp41)
 r2=34772900113347798545372640730250755934955225972025356975366115874254163597722740653619367252030365507420285880379259431 (pp119)
Version: GGNFS-0.77.1
Total time: 77.00 hours.
Scaled time: 88.24 units (timescale=1.146).
Factorization parameters were as follows:
name: 99997_164
n: 1281082258291804916793707323947270654248709309624771006546330339871123124815844425370553043210904572182579843451748036741439167808965013643526050807722363852983 
m: 1000000000000000000000000000000000
c5: 1
c0: -30
type: snfs
skew: 1
qintsize: 50000
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [2500000, 2500000)
Relations: rels:5962757, finalFF:812872
Initial matrix: 695898 x 812872 with sparse part having weight 43782554.
Pruned matrix : 654120 x 657663 with weight 27274461.
Total sieving time: 69.67 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 6.92 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,48,48,2.5,2.5,100000
total time: 77.00 hours.
 --------- CPU info (if available) ----------

October 2005

Oct 31, 2005

By Tyler Cadigan / GGNFS-0.77.1-20050930-pentium4 gnfs

(7·10¹⁷¹-61)/9 = (7)₁₇₀1_<171> = 3 · 97 · 98333484653_<11> · 1030337843974634773078693_<25> · 1608163357158121809183067_<25> · C110

C110 = P39 · P72

P39 = 145160982436224533924365721104515797101_<39>

P72 = 113005973089572296166577050378866003855682441563366862432565161842558567_<72>

Number: (7*10^171-61)/9
N=16404058074843866413203250080722427658419280579547665355776861624584879423383374349231509019779885495281314267
  ( 110 digits)
Divisors found:
 r1=145160982436224533924365721104515797101 (pp39)
 r2=113005973089572296166577050378866003855682441563366862432565161842558567 (pp72)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 45.77 hours.
Scaled time: 17.67 units (timescale=0.386).
Factorization parameters were as follows:
name: try
n: 16404058074843866413203250080722427658419280579547665355776861624584879423383374349231509019779885495281314267
skew: 15788.24
# norm 2.64e+015
c5: 33120
c4: -3158144124
c3: -136143136634800
c2: 579236881561412623
c1: 1283117346222394733180
c0: 1757819858480988492648801
# alpha -5.91
Y1: 126558381103
Y0: -868907208907688768974
# Murphy_E 1.05e-009
# M 1265261254848970518326315911817369956861032884890814274159155170256657252766785777509296940963679378982401841
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1600000, 2300001)
Primes: RFBsize:230209, AFBsize:230471, largePrimes:7554026 encountered
Relations: rels:7539830, finalFF:686292
Max relations in full relation-set: 28
Initial matrix: 460765 x 686292 with sparse part having weight 60201416.
Pruned matrix : 284724 x 287091 with weight 30728785.
Polynomial selection time: 1.52 hours.
Total sieving time: 36.54 hours.
Total relation processing time: 0.57 hours.
Matrix solve time: 6.81 hours.
Time per square root: 0.33 hours.
Prototype def-par.txt line would be:
gnfs,109,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 45.77 hours.
 --------- CPU info (if available) ----------

Oct 30, 2005

By Sinkiti Sibata / GGNFS-0.77.1

(10¹⁵⁷+17)/9 = (1)₁₅₆3_<157> = 3 · 47 · 827 · 83419111680189269_<17> · C135

C135 = P61 · P74

P61 = 1992907785089724401736692803191942559636217788879327403377931_<61>

P74 = 57316558239739679762000092791164075709222001905279934665087887287062125681_<74>

Number: 11113_157
N=114226615130525798068763885215758604153133743497447747112539887636766023645114797421390064065956019652684501981144198433020012663746011
  ( 135 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=1992907785089724401736692803191942559636217788879327403377931 (pp61)
 r2=57316558239739679762000092791164075709222001905279934665087887287062125681 (pp74)
Version: GGNFS-0.77.1
Total time: 55.76 hours.
Scaled time: 37.14 units (timescale=0.666).
Factorization parameters were as follows:
name: 11113_157
n: 114226615130525798068763885215758604153133743497447747112539887636766023645114797421390064065956019652684501981144198433020012663746011
m: 10000000000000000000000000000000
c5: 100
c0: 17
skew: 2
type: snfs
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [1500000, 2900001)
Relations: rels:5735686, finalFF:595903
Initial matrix: 433371 x 595903 with sparse part having weight 48980564.
Pruned matrix : 397323 x 399553 with weight 22135603.
Total sieving time: 50.49 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 4.83 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000
total time: 55.76 hours.
 --------- CPU info (if available) ----------

Oct 28, 2005 (3rd)

By Tyler Cadigan / GGNFS-0.77.1-20050930-pentium4 gnfs

(23·10¹⁶⁹+1)/3 = 7(6)₁₆₈7_<170> = 7 · 11 · 307 · 197299 · 811313057572823714632721_<24> · 850908127744709147996007641_<27> · C110

C110 = P43 · P68

P43 = 2255893164629642733089623238927689598361181_<43>

P68 = 10555114055732885485312192583694318747498275071125810970198577216467_<68>

Number: try
N=23811209650214082238434949499281475004034199848735514583488009825882078773367231952275599070289522527886767527
  ( 110 digits)
Divisors found:
 r1=2255893164629642733089623238927689598361181 (pp43)
 r2=10555114055732885485312192583694318747498275071125810970198577216467 (pp68)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 49.69 hours.
Scaled time: 19.78 units (timescale=0.398).
Factorization parameters were as follows:
name: try
n: 23811209650214082238434949499281475004034199848735514583488009825882078773367231952275599070289522527886767527
skew: 22528.09
# norm 9.93e+014
c5: 11340
c4: 1139681156
c3: 4693303870705
c2: -990151315178811603
c1: 9197042496933003054123
c0: -323691855527389356795780
# alpha -4.81
Y1: 401728873579
Y0: -1159926999478108316447
# Murphy_E 9.97e-010
# M 14694032273146011863960366719819754479068580131505534245951780169933627126701086429550806317509406549314577040
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1600000, 2400001)
Primes: RFBsize:230209, AFBsize:230050, largePrimes:7525678 encountered
Relations: rels:7458025, finalFF:638536
Max relations in full relation-set: 28
Initial matrix: 460338 x 638536 with sparse part having weight 53856376.
Pruned matrix : 317504 x 319869 with weight 28592124.
Polynomial selection time: 1.50 hours.
Total sieving time: 39.44 hours.
Total relation processing time: 0.53 hours.
Matrix solve time: 7.86 hours.
Time per square root: 0.36 hours.
Prototype def-par.txt line would be:
gnfs,109,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 49.69 hours.
 --------- CPU info (if available) ----------

Oct 28, 2005 (2nd)

By Kenichiro Yamaguchi / GMP-ECM 6.0.1

(68·10¹⁶⁸+13)/9 = 7(5)₁₆₇7_<169> = 3 · 12601 · 6602087 · 322284503543_<12> · 13712914668917_<14> · 60589014077011390427_<20> · C114

C114 = P35 · P79

P35 = 18711449755162914969992390184458317_<35>

P79 = 6042106462649302363645103003440378703457286001372598528340319970726964942489453_<79>

Oct 28, 2005

By Sinkiti Sibata / GGNFS-0.77.1

(10¹⁶⁹+17)/9 = (1)₁₆₈3_<169> = 3² · 54903351101_<11> · C157

C157 = P35 · P50 · P73

P35 = 21232995076811297683181478966026917_<35>

P50 = 33149331188093851489952154515789188799603080087969_<50>

P73 = 3194700122655132752414961601112331804319081313944131723954617902155264209_<73>

Number: 11113_169
N=2248620305459062767809772678076967463018479078965333156949894392994654487136799481012371039815171119557429327913999784897333713725890520546584625558679340757
  ( 157 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=21232995076811297683181478966026917 (pp35)
 r2=33149331188093851489952154515789188799603080087969 (pp50)
 r3=3194700122655132752414961601112331804319081313944131723954617902155264209 (pp73)
Version: GGNFS-0.77.1
Total time: 190.80 hours.
Scaled time: 127.07 units (timescale=0.666).
Factorization parameters were as follows:
name: 11113_169
n: 2248620305459062767809772678076967463018479078965333156949894392994654487136799481012371039815171119557429327913999784897333713725890520546584625558679340757
m: 10000000000000000000000000000000000
c5: 1
c0: 170
skew: 3
type: snfs
 Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [3000000, 7100001)
Relations: rels:6305104, finalFF:934883
Initial matrix: 826254 x 934883 with sparse part having weight 54575048.
Pruned matrix : 784432 x 788627 with weight 37666446.
Total sieving time: 172.51 hours.
Total relation processing time: 0.69 hours.
Matrix solve time: 17.35 hours.
Time per square root: 0.25 hours.
Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,48,48,2.6,2.6,100000
total time: 190.80 hours.
 --------- CPU info (if available) ----------

Oct 26, 2005 (2nd)

By Kenichiro Yamaguchi / GGNFS-0.77.1

10¹⁶³-3 = (9)₁₆₂7_<163> = 7 · 857 · C160

C160 = P39 · P59 · P63

P39 = 101212127218177995051360397159896256673_<39>

P59 = 53769799816620504426761135790381137170338896156057801450767_<59>

P63 = 306302235001175754564541527345578429311753804119402165243024733_<63>

Number: 99997_163
N=1666944490748458076346057676279379896649441573595599266544424070678446407734622437072845474245707617936322720453408901483580596766127687947991331888648108018003
  ( 160 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=101212127218177995051360397159896256673 (pp39)
 r2=53769799816620504426761135790381137170338896156057801450767 (pp59)
 r3=306302235001175754564541527345578429311753804119402165243024733 (pp63)
Version: GGNFS-0.77.1
Total time: 70.90 hours.
Scaled time: 81.25 units (timescale=1.146).
Factorization parameters were as follows:
name: 99997_163
n: 1666944490748458076346057676279379896649441573595599266544424070678446407734622437072845474245707617936322720453408901483580596766127687947991331888648108018003 
m: 1000000000000000000000000000
skew: 1
c6: 10
c0: -3
type: snfs
qintsize: 50000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [2250000, 2250000)
Relations: rels:5944699, finalFF:727207
Initial matrix: 631557 x 727207 with sparse part having weight 46978771.
Pruned matrix : 596258 x 599479 with weight 30108459.
Total sieving time: 66.78 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 3.67 hours.
Time per square root: 0.24 hours.
Prototype def-par.txt line would be:
snfs,163,6,0,0,0,0,0,0,0,0,4500000,4500000,27,27,48,48,2.3,2.3,100000
total time: 70.90 hours.
 --------- CPU info (if available) ----------

Oct 26, 2005

By Tyler Cadigan / GGNFS-0.77.1-20050930-pentium4 gnfs

(61·10¹⁵⁹-7)/9 = 6(7)₁₅₉_<160> = 3 · 83 · 163145798897_<12> · 14892937766618321_<17> · 663591791263033860467_<21> · C110

C110 = P30 · P80

P30 = 429706828190475769330186160509_<30>

P80 = 39287866818500422501117149315362999958470759043260102926022320322953846895310943_<80>

Number: (61*10^159-7)/9
N=16882264636947654927210637990821794430288374826123266463960628674670628333828142140182869970014317344862149987
  ( 110 digits)
Divisors found:
 r1=429706828190475769330186160509 (pp30)
 r2=39287866818500422501117149315362999958470759043260102926022320322953846895310943 (pp80)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 49.57 hours.
Scaled time: 19.98 units (timescale=0.403).
Factorization parameters were as follows:
name: try
n: 16882264636947654927210637990821794430288374826123266463960628674670628333828142140182869970014317344862149987
skew: 16504.26
# norm 1.53e+015
c5: 18000
c4: -1956903384
c3: 80245250362830
c2: 445677873798170857
c1: -5498878229434910255052
c0: -1024546863621114157630495
# alpha -5.60
Y1: 480596537267
Y0: -987270673283473006812
# Murphy_E 1.02e-009
# M 12485693622819643989647908903408667736033745497216867751433471780695150903816315809677336356594047647921736928
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1600000, 2400001)
Primes: RFBsize:230209, AFBsize:230990, largePrimes:7749135 encountered
Relations: rels:7910311, finalFF:807539
Max relations in full relation-set: 28
Initial matrix: 461275 x 807539 with sparse part having weight 71743266.
Pruned matrix : 242986 x 245356 with weight 43808192.
Polynomial selection time: 1.52 hours.
Total sieving time: 40.05 hours.
Total relation processing time: 0.58 hours.
Matrix solve time: 7.07 hours.
Time per square root: 0.34 hours.
Prototype def-par.txt line would be:
gnfs,109,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 49.57 hours.
 --------- CPU info (if available) ----------

Oct 25, 2005

By Kenichiro Yamaguchi / GMP-ECM 6.0.1

(68·10¹⁷⁶+13)/9 = 7(5)₁₇₅7_<177> = 16223 · 17119019860271735061587461_<26> · C148

C148 = P33 · C115

P33 = 619193651836871434301224119229241_<33>

C115 = [4393694374867054312301107826304771911374972036279600016021736599645847049491465120275629018011759197571909779771959_<115>]

(68·10¹⁸⁹+13)/9 = 7(5)₁₈₈7_<190> = 3² · 11 · 933389 · 3475483210660030976531_<22> · C161

C161 = P30 · C132

P30 = 167456950534562681320501751047_<30>

C132 = [140491534853109484986754548242952399389515438770363777285457862248011616087412384135885187516878636187876872889038035235947402642391_<132>]

Oct 24, 2005 (2nd)

By Makoto Kamada / GGNFS-0.77.1-20050930-pentium4

8·10¹⁶⁹-1 = 7(9)₁₆₉_<170> = C170

C170 = P64 · P107

P64 = 4983552831382432977450129148648011664663860982879601254876558471_<64>

P107 = 16052804636929688872053966123659744300097772329558086445649204239307760835424404643147419426717309547130569_<107>

Number: 79999_169
N=79999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
  ( 170 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=4983552831382432977450129148648011664663860982879601254876558471 (pp64)
 r2=16052804636929688872053966123659744300097772329558086445649204239307760835424404643147419426717309547130569 (pp107)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 139.10 hours.
Scaled time: 85.41 units (timescale=0.614).
Factorization parameters were as follows:
type: snfs
n: 79999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
m: 10000000000000000000000000000000000
c5: 4
c0: -5
skew: 1
rlim: 6000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
q0: 3000000
qintsize: 100000
Factor base limits: 6000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [3000000, 7200001)
Primes: RFBsize:412849, AFBsize:216926, largePrimes:6232330 encountered
Relations: rels:6453116, finalFF:737763
Max relations in full relation-set: 28
Initial matrix: 629839 x 737763 with sparse part having weight 88375505.
Pruned matrix : 546338 x 549551 with weight 71524892.
Total sieving time: 117.48 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 21.24 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,6000000,3000000,27,27,48,48,2.3,2.3,100000
total time: 139.10 hours.
 --------- CPU info (if available) ----------

Oct 24, 2005

By Tyler Cadigan / GGNFS-0.77.1-20050930-pentium4 gnfs

(46·10¹⁷²-1)/9 = 5(1)₁₇₂_<173> = 3 · 74377 · 190941040859_<12> · 329219420716929877_<18> · C110

C110 = P33 · P36 · P41

P33 = 565136006549966812916113719736759_<33>

P36 = 725753339313232876234657295548868177_<36>

P41 = 42146405201794140986772964098305943887101_<41>

Number: (46*10^172-1)/9
N=17286320442093215817833832514423465830114202513721854972729385622355164152982248553813025024575959082173293643
  ( 110 digits)
Divisors found:
 r1=565136006549966812916113719736759 (pp33)
 r2=725753339313232876234657295548868177 (pp36)
 r3=42146405201794140986772964098305943887101 (pp41)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 42.67 hours.
Scaled time: 17.11 units (timescale=0.401).
Factorization parameters were as follows:
name: try
n: 17286320442093215817833832514423465830114202513721854972729385622355164152982248553813025024575959082173293643
skew: 27422.06
# norm 8.50e+014
c5: 17820
c4: -1663476960
c3: -40868357908375
c2: 1072596167948350522
c1: 19114471823374771735884
c0: 2112584404026467554128000
# alpha -5.79
Y1: 233603525713
Y0: -993941622567834158561
# Murphy_E 1.10e-009
# M 3035570654687124468805151776380123179146811487172510248074143189454353921004656028578945679782393418883769009
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1600000, 2200001
)
Primes: RFBsize:230209, AFBsize:230467, largePrimes:7607976 encountered
Relations: rels:7661248, finalFF:739651
Max relations in full relation-set: 28
Initial matrix: 460754 x 739651 with sparse part having weight 62677286.
Pruned matrix : 257304 x 259671 with weight 33728811.
Total sieving time: 39.20 hours.
Total relation processing time: 0.50 hours.
Matrix solve time: 2.62 hours.
Time per square root: 0.35 hours.
Prototype def-par.txt line would be:
gnfs,109,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 42.67 hours.
 --------- CPU info (if available) ----------

Oct 23, 2005

Contribution and reservation page is now available. To submit factors or reserve numbers, click the buttons added to each tables.

Oct 22, 2005

By Tyler Cadigan / GGNFS-0.77.1-20050930-pentium4 gnfs

(88·10¹⁷⁶-7)/9 = 9(7)₁₇₆_<177> = 409 · 7537 · 324781 · 413681 · 1423125493501272389_<19> · 410457956356423407164533980040111_<33> · C109

C109 = P45 · P64

P45 = 835872596553895914344667418154479252677921823_<45>

P64 = 4835152605189833378023630969247444104166394077022867478908079337_<64>

Number: (88*10^176-7)/9
N=4041571562834360371743685234852647890311532253351853063967401402695698925006
352905491532472725195117567671351
  ( 109 digits)
Divisors found:
 r1=835872596553895914344667418154479252677921823 (pp45)
 r2=4835152605189833378023630969247444104166394077022867478908079337 (pp64)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 36.27 hours.
Scaled time: 14.72 units (timescale=0.406).
Factorization parameters were as follows:
name: try
n: 
404157156283436037174368523485264789031153225335185306396740140269569892500635
2905491532472725195117567671351
skew: 38498.37
# norm 2.49e+015
c5: 26520
c4: 1946519488
c3: -151784333575201
c2: -2228343102101464652
c1: 88389977576972041157614
c0: 33232882418034968623948840
# alpha -6.89
Y1: 283181162789
Y0: -686424412541168763879
# Murphy_E 1.19e-009
# M 
188368404868095941682196676154981872952159147822480941013453087251238659102523
22088524972815061166582374873
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1600000, 2800001)
Primes: RFBsize:230209, AFBsize:230878, largePrimes:7173427 encountered
Relations: rels:6897326, finalFF:524313
Max relations in full relation-set: 28
Initial matrix: 461175 x 524313 with sparse part having weight 39321246.
Pruned matrix : 409401 x 411770 with weight 25761163.
Polynomial selection time: 1.83 hours.
Total sieving time: 22.49 hours.
Total relation processing time: 0.58 hours.
Matrix solve time: 10.96 hours.
Time per square root: 0.41 hours.
Prototype def-par.txt line would be:
gnfs,108,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,32000
00,27,27,50,50,2.6,2.6,100000
total time: 36.27 hours.
 --------- CPU info (if available) ----------
P4 3.2 gig, 1024 Mb RAM

Oct 20, 2005 (4th)

All near-repdigit palindrome numbers of the form (R)_wD(R)_w (R∈{ 1, 3, 7, 9 }) were factored up to 151-digit!

Oct 20, 2005 (3rd)

By Kenichiro Yamaguchi / GGNFS-0.77.1

(7·10¹⁵¹-9·10⁷⁵-7)/9 = 7777777777777777777777777777777777777777777777777777777777777777777777777776777777777777777777777777777777777777777777777777777777777777777777777777777_<151> = 3 · 601 · 11383 · 42793 · C139

C139 = P60 · P80

P60 = 249800844041590041816371889865466295254944741238479812710059_<60>

P80 = 35451648348814097560568927220058803113875106220262988808144613437817611427638679_<80>

Number: 77677_75
N=8855851680199403507014948920034626906365254291951379383455451181216021223647712208022089324382154605350418715068061995832798124546040772061
  ( 139 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=249800844041590041816371889865466295254944741238479812710059 (pp60)
 r2=35451648348814097560568927220058803113875106220262988808144613437817611427638679 (pp80)
Version: GGNFS-0.77.1
Total time: 35.58 hours.
Scaled time: 40.88 units (timescale=1.149).
Factorization parameters were as follows:
name: 77677_75
n: 8855851680199403507014948920034626906365254291951379383455451181216021223647712208022089324382154605350418715068061995832798124546040772061 
m: 10000000000000000000000000
skew: 1
c6: 70 
c3: -9
c0: -7
type: snfs
qintsize: 20000
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [1200000, 2400001)
Relations: rels:5254753, finalFF:400616
Initial matrix: 353367 x 400616 with sparse part having weight 37333710.
Pruned matrix : 344269 x 346099 with weight 26748128.
Total sieving time: 33.95 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 1.16 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,151,6,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 35.58 hours.
 --------- CPU info (if available) ----------

Oct 20, 2005 (2nd)

By Tyler Cadigan / GGNFS-0.77.1-20050930-pentium4 gnfs

(83·10¹⁵⁵+61)/9 = 9(2)₁₅₄9_<156> = 7 · 11 · 677 · 27308707004207_<14> · 269008383909264096142333777961_<30> · C109

C109 = P41 · P68

P41 = 30295007697022134838984570079567204171383_<41>

P68 = 79491038089640736612271099429455527317299371392929750668334411393461_<68>

Number: (83*10^155+61)/9 
N=2408181610769945812962333186745918035714702222148442267020189048305134759924
582421450957807124592080889526563
  ( 109 digits)
Divisors found:
 r1=30295007697022134838984570079567204171383 (pp41)
 r2=79491038089640736612271099429455527317299371392929750668334411393461 
(pp68)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 30.03 hours.
Scaled time: 14.02 units (timescale=0.467).
Factorization parameters were as follows:
name: try
n: 
240818161076994581296233318674591803571470222214844226702018904830513475992458
2421450957807124592080889526563
skew: 41300.17
# norm 1.49e+015
c5: 21840
c4: -520985140
c3: -89382173038333
c2: 580391369538706862
c1: 61888653113728831548948
c0: -4027525537794873658238520
# alpha -6.61
Y1: 30186814603
Y0: -643409423763948635099
# Murphy_E 1.27e-009
# M 
168488224660201944470680222562849441160467531529578345322462885992793667233986
2597588346741021480834950876662
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1600000, 2800001)
Primes: RFBsize:230209, AFBsize:230480, largePrimes:7363708 encountered
Relations: rels:7268183, finalFF:648534
Max relations in full relation-set: 28
Initial matrix: 460772 x 648534 with sparse part having weight 49895252.
Pruned matrix : 310865 x 313232 with weight 25057293.
Total sieving time: 22.62 hours.
Total relation processing time: 0.59 hours.
Matrix solve time: 6.55 hours.
Time per square root: 0.27 hours.
Prototype def-par.txt line would be:
gnfs,108,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,32000
00,27,27,50,50,2.6,2.6,100000
total time: 30.03 hours.
 --------- CPU info (if available) ----------
P4 3.2 gig, 1024 Mb RAM

Oct 20, 2005

By Sinkiti Sibata / GGNFS-0.77.1

(10¹⁶⁵+53)/9 = (1)₁₆₄7_<165> = 3² · 13 · 6973466407_<10> · 71041638549203500785349_<23> · C130

C130 = P37 · P93

P37 = 2958560207690742100530842527527150137_<37>

P93 = 647932156418649906721064138734891794612517911912705433862271929711288746481553278804265823211_<93>

Number: 11117_165
N=1916946295263471265415298868868483054850763678961235587943344428327025342624879175301961114952795962919895969967530419087096429907
  ( 130 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=2958560207690742100530842527527150137 (pp37)
 r2=647932156418649906721064138734891794612517911912705433862271929711288746481553278804265823211 (pp93)
Version: GGNFS-0.77.1
Total time: 125.51 hours.
Scaled time: 74.05 units (timescale=0.590).
Factorization parameters were as follows:
name: 11117_165
n:
1916946295263471265415298868868483054850763678961235587943344428327025342624879175301961114952795962919895969967530419087096429907
m: 1000000000000000000000000000000000
c5: 1
c0: 53
skew: 2
type: snfs

Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [2500000, 5400001)
Relations: rels:6102841, finalFF:829838
Initial matrix: 697513 x 829838 with sparse part having weight 49988564.
Pruned matrix : 652318 x 655869 with weight 30397504.
Total sieving time: 113.27 hours.
Total relation processing time: 0.64 hours.
Matrix solve time: 11.36 hours.
Time per square root: 0.23 hours.
Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,48,48,2.5,2.5,100000
total time: 125.51 hours.
 --------- CPU info (if available) ----------

Oct 19, 2005

By Tyler Cadigan / GGNFS-0.77.1-20050930-pentium4 gnfs

(68·10¹⁷⁷+13)/9 = 7(5)₁₇₆7_<178> = 3 · 11 · 2976541 · 1986024611_<10> · 21372627064267161524638651_<26> · 584163599840517891765685151_<27> · C109

C109 = P32 · P78

P32 = 16649041345956785978066544251831_<32>

P78 = 186326375883529372573195580204691042271311165907598423871225253573728851230609_<78>

Number: (68*10^177+13)/9 
N=3102155535927165892282359467707887179211221218792713523148538014622726901451
107019748936781002601979551495079
  ( 109 digits)
Divisors found:
 r1=16649041345956785978066544251831 (pp32)
 r2=18632637588352937257319558020469104227131116590759842387122525357372885123
0609 (pp78)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 36.35 hours.
Scaled time: 14.87 units (timescale=0.409).
Factorization parameters were as follows:
name: try
n: 
310215553592716589228235946770788717921122121879271352314853801462272690145110
7019748936781002601979551495079
skew: 16007.37
# norm 6.73e+014
c5: 17640
c4: 2003010208
c3: -37663238995726
c2: -683336483422674291
c1: 2276175730375724357224
c0: -1562408208188556542452639
# alpha -5.36
Y1: 212258499739
Y0: -706366401851154172710
# Murphy_E 1.14e-009
# M 
154008773663557641889006013134644205760428391139451314764373726368221190933273
8275423455721797031470782496548
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1600000, 3000001)
Primes: RFBsize:230209, AFBsize:230204, largePrimes:7413846 encountered
Relations: rels:7314723, finalFF:628477
Max relations in full relation-set: 28
Initial matrix: 460490 x 628477 with sparse part having weight 49150211.
Pruned matrix : 330401 x 332767 with weight 26801905.
Polynomial selection time: 1.37 hours.
Total sieving time: 25.64 hours.
Total relation processing time: 0.61 hours.
Matrix solve time: 8.35 hours.
Time per square root: 0.37 hours.
Prototype def-par.txt line would be:
gnfs,108,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,32000
00,27,27,50,50,2.6,2.6,100000
total time: 36.35 hours.
 --------- CPU info (if available) ----------
P4 3.2 gig, 1024 Mb RAM

Oct 18, 2005

By Kenichiro Yamaguchi / GGNFS-0.77.1

(10¹⁵¹+12·10⁷⁵-1)/3 = 3333333333333333333333333333333333333333333333333333333333333333333333333337333333333333333333333333333333333333333333333333333333333333333333333333333_<151> = 191 · 11931431 · 681375942817_<12> · C130

C130 = P51 · P79

P51 = 358116504234562342596071833930926313362871743635963_<51>

P79 = 5994344678963701828178210901524903350941465357133653014136011304901355320255463_<79>

Number: 33733_75
N=2146673761607530771831613636839932881610318515734641655480199502544435528652664132738873360216986828768270794320322697617634015869
  ( 130 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=358116504234562342596071833930926313362871743635963 (pp51)
 r2=5994344678963701828178210901524903350941465357133653014136011304901355320255463 (pp79)
Version: GGNFS-0.77.1
Total time: 45.89 hours.
Scaled time: 35.93 units (timescale=0.783).
Factorization parameters were as follows:
name: 33733_75
n: 2146673761607530771831613636839932881610318515734641655480199502544435528652664132738873360216986828768270794320322697617634015869 
m: 10000000000000000000000000
skew: 1 
c6: 10
c3: 12 
c0: -1
type: snfs
qintsize: 5000
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [1200000, 2285001)
Relations: rels:5141030, finalFF:398079
Initial matrix: 352254 x 398079 with sparse part having weight 34475505.
Pruned matrix : 341622 x 343447 with weight 24401876.
Total sieving time: 42.31 hours.
Total relation processing time: 0.81 hours.
Matrix solve time: 2.51 hours.
Time per square root: 0.25 hours.
Prototype def-par.txt line would be:
snfs,151,6,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 45.89 hours.
 --------- CPU info (if available) ----------

Oct 17, 2005 (2nd)

By Tyler Cadigan / GGNFS-0.77.1-20050930-pentium4 gnfs

(10¹⁵⁷+11)/3 = (3)₁₅₆7_<157> = 7 · 31 · 1039 · 839073889 · 3476724404519_<13> · 829739033255217100531_<21> · C109

C109 = P39 · P71

P39 = 378641528748782707426215729102157462649_<39>

P71 = 16131071839146853642865220379938327843341868838763312362360548919746331_<71>

Number: (10^157+11)/3
N=6107893701531002525130019529075276284955785449103867411849283231781999198579
385084177229691980422107687290819
  ( 109 digits)
Divisors found:
 r1=378641528748782707426215729102157462649 (pp39)
 r2=16131071839146853642865220379938327843341868838763312362360548919746331 
(pp71)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 31.82 hours.
Scaled time: 12.86 units (timescale=0.404).
Factorization parameters were as follows:
name: try
n: 
610789370153100252513001952907527628495578544910386741184928323178199919857938
5084177229691980422107687290819
skew: 9058.61
# norm 2.20e+015
c5: 154080
c4: 6110803044
c3: 32795731415593
c2: 630913785227512583
c1: -2864372629028806713417
c0: 2566916076660438766607829
# alpha -6.85
Y1: 202851276947
Y0: -524357769549258114412
# Murphy_E 1.30e-009
# M 
317910874579676561136488685553457244397721500482553101581063326181871375691269
9220581530997512231364664097615
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1600000, 2800001)
Primes: RFBsize:230209, AFBsize:230034, largePrimes:7382776 encountered
Relations: rels:7273605, finalFF:632430
Max relations in full relation-set: 28
Initial matrix: 460324 x 632430 with sparse part having weight 49982759.
Pruned matrix : 322846 x 325211 with weight 25665486.
Polynomial selection time: 1.35 hours.
Total sieving time: 22.30 hours.
Total relation processing time: 0.60 hours.
Matrix solve time: 7.23 hours.
Time per square root: 0.34 hours.
Prototype def-par.txt line would be:
gnfs,108,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,32000
00,27,27,50,50,2.6,2.6,100000
total time: 31.82 hours.
 --------- CPU info (if available) ----------
P4 3.2 gig, 1024 Mb RAM

Oct 17, 2005

By Kenichiro Yamaguchi / GGNFS-0.77.1

(7·10¹⁵¹-18·10⁷⁵-7)/9 = 7777777777777777777777777777777777777777777777777777777777777777777777777775777777777777777777777777777777777777777777777777777777777777777777777777777_<151> = 19514434918236191_<17> · C135

C135 = P44 · P91

P44 = 72308150330953793895675530638511015061428929_<44>

P91 = 5512039211966234235551907731910904762055139651456464595200599313208098872408793062774532143_<91>

Number: 77577_75
N=398565359968966549341377531325669743755397248409857683088797348989747039065173941147576061184729542897773767978865832805924423020564847
  ( 135 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=72308150330953793895675530638511015061428929 (pp44)
 r2=5512039211966234235551907731910904762055139651456464595200599313208098872408793062774532143 (pp91)
Version: GGNFS-0.77.1
Total time: 27.67 hours.
Scaled time: 31.76 units (timescale=1.148).
Factorization parameters were as follows:
name: 77577_75
n: 398565359968966549341377531325669743755397248409857683088797348989747039065173941147576061184729542897773767978865832805924423020564847 
m: 10000000000000000000000000
skew: 1
c6: 70 
c3: -18
c0: -7
type: snfs
qintsize: 30000
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [1200000, 2160001)
Relations: rels:5031482, finalFF:399322
Initial matrix: 352518 x 399322 with sparse part having weight 33679212.
Pruned matrix : 339877 x 341703 with weight 23541606.
Total sieving time: 26.29 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 1.04 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,151,6,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 27.67 hours.
 --------- CPU info (if available) ----------

Oct 16, 2005

By Tyler Cadigan / GGNFS-0.77.1-20050930-pentium4 gnfs

(29·10¹⁵⁸+7)/9 = 3(2)₁₅₇3_<159> = 23 · 461 · 919 · 863812865659156741_<18> · 7045637575330861378982261_<25> · C109

C109 = P49 · P61

P49 = 2116535804504319328369428583266721511884186009621_<49>

P61 = 2567116797056076871290015842910679596990176871546012502135159_<61>

Number: (29*10^158+7)/9
N=5433394615313635112798817586709646547401897350053964709573034550371009972141
238554431351626062312978616364739
  ( 109 digits)
Divisors found:
 r1=2116535804504319328369428583266721511884186009621 (pp49)
 r2=2567116797056076871290015842910679596990176871546012502135159 (pp61)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 35.59 hours.
Scaled time: 13.99 units (timescale=0.393).
Factorization parameters were as follows:
name: try
n: 
543339461531363511279881758670964654740189735005396470957303455037100997214123
8554431351626062312978616364739
skew: 4652.08
# norm 1.12e+014
c5: 98280
c4: 3818806790
c3: -4441339703579
c2: -82541178637438376
c1: 54001702042996081950
c0: 70418619847262199232112
# alpha -4.54
Y1: 222077875609
Y0: -560428074010936900223
# Murphy_E 1.22e-009
# M 
379863157542711794085504968705971263337986613117844641695867590909277059725078
6087715244613101294906565924990
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1600000, 3000001)
Primes: RFBsize:230209, AFBsize:229654, largePrimes:7435034 encountered
Relations: rels:7325286, finalFF:610069
Max relations in full relation-set: 28
Initial matrix: 459948 x 610069 with sparse part having weight 51050438.
Pruned matrix : 343766 x 346129 with weight 28709445.
Total sieving time: 25.58 hours.
Total relation processing time: 0.69 hours.
Matrix solve time: 8.94 hours.
Time per square root: 0.39 hours.
Prototype def-par.txt line would be:
gnfs,108,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,32000
00,27,27,50,50,2.6,2.6,100000
total time: 35.59 hours.
 --------- CPU info (if available) ----------
P4 3.2 gig, 1024 Mb RAM

Oct 15, 2005 (2nd)

By Kenichiro Yamaguchi / GGNFS-0.77.1

(10¹⁵¹+54·10⁷⁵-1)/9 = 1111111111111111111111111111111111111111111111111111111111111111111111111117111111111111111111111111111111111111111111111111111111111111111111111111111_<151> = 1669 · 138785947 · 235905331 · C131

C131 = P47 · P84

P47 = 79027681330367899231677917406107438100664743149_<47>

P84 = 257299336087399060220843117297804476699656822157989198103045370221839707270878173383_<84>

Number: 11711_75
N=20333769938830202187732061659293609278456675839917955719876353937255008520612525303600881960818597681659697496362221845269983403067
  ( 131 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=79027681330367899231677917406107438100664743149 (pp47)
 r2=257299336087399060220843117297804476699656822157989198103045370221839707270878173383 (pp84)
Version: GGNFS-0.77.1
Total time: 41.64 hours.
Scaled time: 32.39 units (timescale=0.778).
Factorization parameters were as follows:
name: 11711_75
n: 20333769938830202187732061659293609278456675839917955719876353937255008520612525303600881960818597681659697496362221845269983403067 
m: 10000000000000000000000000
skew: 1 
c6: 10
c3: 54
c0: -1
type: snfs
qintsize: 10000
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [1200000, 2140001)
Relations: rels:5078042, finalFF:399979
Initial matrix: 352648 x 399979 with sparse part having weight 33797228.
Pruned matrix : 339823 x 341650 with weight 23533753.
Total sieving time: 38.62 hours.
Total relation processing time: 0.43 hours.
Matrix solve time: 2.35 hours.
Time per square root: 0.24 hours.
Prototype def-par.txt line would be:
snfs,151,6,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 41.64 hours.
 --------- CPU info (if available) ----------

(10¹⁵¹+72·10⁷⁵-1)/9 = 1111111111111111111111111111111111111111111111111111111111111111111111111119111111111111111111111111111111111111111111111111111111111111111111111111111_<151> = 3 · 7 · 181 · 599 · 715580836889_<12> · C132

C132 = P41 · P92

P41 = 25811783920037444519059410337596468279431_<41>

P92 = 26421415210765064781080941513216314237349498070491943916815078971473151712607316063339389271_<92>

Number: 11911_75
N=681983860281858447199499453039476758065682295124277463319202780109961012947032676873540027146900147014424578914207148061683711384801
  ( 132 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=25811783920037444519059410337596468279431 (pp41)
 r2=26421415210765064781080941513216314237349498070491943916815078971473151712607316063339389271 (pp92)
Version: GGNFS-0.77.1
Total time: 28.16 hours.
Scaled time: 32.39 units (timescale=1.150).
Factorization parameters were as follows:
name: 11911_75
n: 681983860281858447199499453039476758065682295124277463319202780109961012947032676873540027146900147014424578914207148061683711384801 
m: 10000000000000000000000000
skew: 1
c6: 10 
c3: 72 
c0: -1
type: snfs
qintsize: 10000
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [1200000, 2200001)
Relations: rels:5261228, finalFF:443207
Initial matrix: 352437 x 443207 with sparse part having weight 39027910.
Pruned matrix : 330898 x 332724 with weight 21289060.
Total sieving time: 26.87 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 0.96 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,151,6,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 28.16 hours.
 --------- CPU info (if available) ----------

Oct 15, 2005

By Makoto Kamada / GGNFS-0.77.1-20050930-pentium4 gnfs

10¹⁷⁵-9 = (9)₁₇₄1_<175> = 83 · 89 · 277590538396397099817467_<24> · 896295447371381022541530417241001_<33> · C115

C115 = P53 · P62

P53 = 61949583081432845501932022855183580890650237564733399_<53>

P62 = 87828944454424628608061572314719937855686216572417491650902721_<62>

Number: 99991_175
N=5440966491433929111554214944089000588930816682352861497343960642779983221200574467638376340734669429663292048678679
  ( 115 digits)
Divisors found:
 r1=61949583081432845501932022855183580890650237564733399 (pp53)
 r2=87828944454424628608061572314719937855686216572417491650902721 (pp62)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 54.99 hours.
Scaled time: 33.82 units (timescale=0.615).
Factorization parameters were as follows:
name: 99991_175
n: 5440966491433929111554214944089000588930816682352861497343960642779983221200574467638376340734669429663292048678679
skew: 12259.14
# norm 3.08e+15
c5: 104520
c4: 7638682094
c3: -13306257396319
c2: 829995983020823370
c1: -2328325729794149148560
c0: -11666567813441271123193328
# alpha -5.01
Y1: 2599311618277
Y0: -8775936050106772370895
# Murphy_E 5.25e-10
# M 2151975845047172818369237269379495346341326179997150033209270845249862371353526224289632275292325915697762213426926
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 10000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1750000, 3170001)
Primes: RFBsize:250150, AFBsize:250066, largePrimes:7625714 encountered
Relations: rels:7518040, finalFF:566228
Max relations in full relation-set: 28
Initial matrix: 500296 x 566228 with sparse part having weight 50888876.
Pruned matrix : 449739 x 452304 with weight 36817983.
Total sieving time: 46.10 hours.
Total relation processing time: 0.69 hours.
Matrix solve time: 7.89 hours.
Time per square root: 0.30 hours.
Prototype def-par.txt line would be:
gnfs,114,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 54.99 hours.
 --------- CPU info (if available) ----------

Note: qintsize is 100000 in [1750000, 3150001), 10000 in [3150001, 3170001)

Oct 14, 2005 (3rd)

By Sinkiti Sibata / GGNFS-0.77.1

(10¹⁶²+17)/9 = (1)₁₆₁3_<162> = 161566269551183775607139_<24> · C138

C138 = P40 · P99

P40 = 4331670272403487898909497310204173448519_<40>

P99 = 158763769737372670586126591456916292403844026842433021792146864283443725955106629960071436214057093_<99>

Number: 11113_162a
N=6877123017060897044374571042740713156798005893398859541715948321496825270290162856653716529390380241038691567683902526773330081417
62295267
  ( 138 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=4331670272403487898909497310204173448519 (pp40)
 r2=158763769737372670586126591456916292403844026842433021792146864283443725955106629960071436214057093 (pp99)
Version: GGNFS-0.77.1
Total time: 92.17 hours.
Scaled time: 61.38 units (timescale=0.666).
Factorization parameters were as follows:
name: 11113_162a
n:
687712301706089704437457104274071315679800589339885954171594832149682527029016285665371652939038024103869156768390252677333008141762
295267
m: 100000000000000000000000000000000
c5: 100
c0: 17
skew: 2
type: snfs
 Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [2250000, 4450001)
Relations: rels:5964189, finalFF:774005
Initial matrix: 631658 x 774005 with sparse part having weight 46258015.
Pruned matrix : 584262 x 587484 with weight 25832727.
Total sieving time: 83.18 hours.
Total relation processing time: 0.45 hours.
Matrix solve time: 8.35 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,48,48,2.3,2.3,100000
total time: 92.17 hours.
 --------- CPU info (if available) ----------

Oct 14, 2005 (2nd)

By Tyler Cadigan / GGNFS-0.77.1-20050930-pentium4 gnfs

(2·10¹⁷⁷-17)/3 = (6)₁₇₆1_<177> = 677 · 25349 · 393013 · 79420666569772996063969_<23> · 6533336840575541762728113725218487_<34> · C108

C108 = P46 · P62

P46 = 2508303240011545881154329734545373079401137891_<46>

P62 = 75945790705547000003969998101719766791828803553193380743769093_<62>

Number: (2*10^177-17)/3
N=1904950728919622871558958045227159083213904486368722486272007274299386560985
79795909141221381162892357002863
  ( 108 digits)
Divisors found:
 r1=2508303240011545881154329734545373079401137891 (pp46)
 r2=75945790705547000003969998101719766791828803553193380743769093 (pp62)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 26.05 hours.
Scaled time: 10.50 units (timescale=0.403).
Factorization parameters were as follows:
name: try
n: 
190495072891962287155895804522715908321390448636872248627200727429938656098579
795909141221381162892357002863
skew: 44710.17
# norm 1.51e+015
c5: 11760
c4: -1356718216
c3: -59223065866209
c2: 2476319066249658648
c1: 57022542762163081239412
c0: -597914298298749620967297984
# alpha -6.37
Y1: 258874617767
Y0: -438430947650082959389
# Murphy_E 1.29e-009
# M 
139741455458744718520467859768361375222069394858895968479384688294767949543813
82813981484924261786365258542
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2450001)
Primes: RFBsize:183072, AFBsize:183100, largePrimes:4483939 encountered
Relations: rels:4595368, finalFF:474163
Max relations in full relation-set: 28
Initial matrix: 366252 x 474163 with sparse part having weight 36230380.
Pruned matrix : 286780 x 288675 with weight 20170098.
Total sieving time: 20.57 hours.
Total relation processing time: 0.34 hours.
Matrix solve time: 4.85 hours.
Time per square root: 0.29 hours.
Prototype def-par.txt line would be:
gnfs,107,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,25000
00,26,26,49,49,2.6,2.6,150000
total time: 26.05 hours.
 --------- CPU info (if available) ----------
p4 3.2 gig, 1024 Mb RAM

Oct 14, 2005

By Kenichiro Yamaguchi / GGNFS-0.77.1

(10¹⁵¹+45·10⁷⁵-1)/9 = 1111111111111111111111111111111111111111111111111111111111111111111111111116111111111111111111111111111111111111111111111111111111111111111111111111111_<151> = 3 · 23 · 97655713 · C141

C141 = P58 · P83

P58 = 1997027338650943457295969265979479820897340416602456368571_<58>

P83 = 82570846009916462739671939974233945618960329221370464288990761278297434149703773953_<83>

Number: 11611_75
N=164896236857340347160931352501873584310988886992857541745026654917937090476762831264174071474529422002054982975724753347212523279098237631163
  ( 141 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=1997027338650943457295969265979479820897340416602456368571 (pp58)
 r2=82570846009916462739671939974233945618960329221370464288990761278297434149703773953 (pp83)
Version: GGNFS-0.77.1
Total time: 28.75 hours.
Scaled time: 33.10 units (timescale=1.151).
Factorization parameters were as follows:
name: 11611_75
n: 164896236857340347160931352501873584310988886992857541745026654917937090476762831264174071474529422002054982975724753347212523279098237631163 
m: 10000000000000000000000000
skew: 1
c6: 10 
c3: 45 
c0: -1
type: snfs
qintsize: 300000
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [1200000, 1200000)
Relations: rels:5128742, finalFF:425200
Initial matrix: 352781 x 425200 with sparse part having weight 35870333.
Pruned matrix : 334485 x 336312 with weight 21340437.
Total sieving time: 27.51 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.95 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,151,6,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 28.75 hours.
 --------- CPU info (if available) ----------

Oct 13, 2005

By Kenichiro Yamaguchi / GGNFS-0.77.1

(7·10¹⁴⁹+9·10⁷⁴-7)/9 = 77777777777777777777777777777777777777777777777777777777777777777777777777877777777777777777777777777777777777777777777777777777777777777777777777777_<149> = 3² · 2277249907_<10> · C139

C139 = P37 · P44 · P60

P37 = 1376809726708478490931468014548893543_<37>

P44 = 21636652521774899503817611495057606654171231_<44>

P60 = 127390878380641808134389173992511049895610289858081131674763_<60>

Number: 77877_74
N=3794917405453636630071437876950575415543084401865769977893768032830125090286406769739341752338069771519848576616095749280927040456384315379
  ( 139 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=1376809726708478490931468014548893543 (pp37)
 r2=21636652521774899503817611495057606654171231 (pp44)
 r3=127390878380641808134389173992511049895610289858081131674763 (pp60)
Version: GGNFS-0.77.1
Total time: 32.20 hours.
Scaled time: 37.80 units (timescale=1.174).
Factorization parameters were as follows:
name: 77877_74
n: 3794917405453636630071437876950575415543084401865769977893768032830125090286406769739341752338069771519848576616095749280927040456384315379 
m: 10000000000000000000000000
skew: 1
c6: 7 
c3: 9
c0: -70
type: snfs
qintsize: 1130000
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [1200000, 2330001)
Relations: rels:5222436, finalFF:412613
Initial matrix: 353361 x 412613 with sparse part having weight 36495424.
Pruned matrix : 341137 x 342967 with weight 23907762.
Total sieving time: 30.02 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 1.75 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,150,6,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 32.20 hours.
 --------- CPU info (if available) ----------

(10¹⁵¹+27·10⁷⁵-1)/9 = 1111111111111111111111111111111111111111111111111111111111111111111111111114111111111111111111111111111111111111111111111111111111111111111111111111111_<151> = 17 · 9514504624407953_<16> · C133

C133 = P45 · P88

P45 = 911463651618491369778595517029111315386354569_<45>

P88 = 7536731326772967130509679175251284771071788374984822276636018012186639357985777581655919_<88>

Number: 11411_75
N=6869456656367965950826409688732436447972845946436054099997224976731461178767749312890367640861378810215838503327678485314019891543911
  ( 133 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=911463651618491369778595517029111315386354569 (pp45)
 r2=7536731326772967130509679175251284771071788374984822276636018012186639357985777581655919 (pp88)
Version: GGNFS-0.77.1
Total time: 41.58 hours.
Scaled time: 32.60 units (timescale=0.784).
Factorization parameters were as follows:
name: 11411_75
n: 6869456656367965950826409688732436447972845946436054099997224976731461178767749312890367640861378810215838503327678485314019891543911 
m: 10000000000000000000000000
skew: 1 
c6: 10
c3: 27
c0: -1
type: snfs
qintsize: 10000
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [1200000, 2150001)
Relations: rels:5153068, finalFF:426567
Initial matrix: 352501 x 426567 with sparse part having weight 36783631.
Pruned matrix : 334430 x 336256 with weight 21860821.
Total sieving time: 38.85 hours.
Total relation processing time: 0.33 hours.
Matrix solve time: 2.16 hours.
Time per square root: 0.24 hours.
Prototype def-par.txt line would be:
snfs,151,6,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 41.58 hours.
 --------- CPU info (if available) ----------

Oct 12, 2005 (2nd)

By Tyler Cadigan / GGNFS-0.77.1-20050930-pentium4 gnfs

5·10¹⁵⁶-1 = 4(9)₁₅₆_<157> = 325933631 · 418725471349_<12> · 64649255422764285424382191141_<29> · C108

C108 = P34 · P75

P34 = 1196044320747080988848275421315051_<34>

P75 = 473806101133225839977941970810800179066086580068330368731246322000830542731_<75>

Number: 5*10^156-1
N=5666930963957118597398027696961429470504668076802124580255755170769910100673
67217253155674205481178068944281
  ( 108 digits)
Divisors found:
 r1=1196044320747080988848275421315051 (pp34)
 r2=47380610113322583997794197081080017906608658006833036873124632200083054273
1 (pp75)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 27.31 hours.
Scaled time: 10.82 units (timescale=0.396).
Factorization parameters were as follows:
name: try
n: 
566693096395711859739802769696142947050466807680212458025575517076991010067367
217253155674205481178068944281
skew: 23384.96
# norm 1.59e+015
c5: 45360
c4: 2173952544
c3: -108307711201354
c2: -1584442317506962255
c1: 18603058138119602723048
c0: -29070695707283682987819135
# alpha -6.53
Y1: 287398706837
Y0: -416228775137597942374
# Murphy_E 1.31e-009
# M 
344927149656073652139561026162681144229007553496406963348579794490013423602004
069969632527639127675644284764
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2450001)
Primes: RFBsize:183072, AFBsize:183165, largePrimes:4494666 encountered
Relations: rels:4615459, finalFF:480406
Max relations in full relation-set: 28
Initial matrix: 366318 x 480406 with sparse part having weight 37843115.
Pruned matrix : 283252 x 285147 with weight 20950955.
Polynomial selection time: 1.21 hours.
Total sieving time: 20.70 hours.
Total relation processing time: 0.34 hours.
Matrix solve time: 4.78 hours.
Time per square root: 0.29 hours.
Prototype def-par.txt line would be:
gnfs,107,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,25000
00,26,26,49,49,2.6,2.6,150000
total time: 27.31 hours.
 --------- CPU info (if available) ----------
P4 3.2 gig, 1024 Mb RAM

Oct 12, 2005

By Makoto Kamada / GGNFS-0.77.1-20050930-pentium4

10¹⁵³-9 = (9)₁₅₂1_<153> = 7351 · 12177173 · 4869339071_<10> · 1717538402791591_<16> · C118

C118 = P51 · P67

P51 = 212160165998317320103944607230187712351218102168603_<51>

P67 = 6296029889857224726698251701700348692740511088455095303322626184799_<67>

Number: 99991_153
N=1335766746562476311394979112050139074304751101054445997162839406395615947883173967919903824012052485594710774133665797
  ( 118 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=212160165998317320103944607230187712351218102168603 (pp51)
 r2=6296029889857224726698251701700348692740511088455095303322626184799 (pp67)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 36.60 hours.
Scaled time: 22.47 units (timescale=0.614).
Factorization parameters were as follows:
n: 1335766746562476311394979112050139074304751101054445997162839406395615947883173967919903824012052485594710774133665797
m: 10000000000000000000000000000000
c5: 1
c0: -900
skew: 1
type: snfs
qintsize: 10000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1500000, 2670001)
Primes: RFBsize:216816, AFBsize:215581, largePrimes:5493083 encountered
Relations: rels:5394281, finalFF:509333
Max relations in full relation-set: 28
Initial matrix: 432461 x 509333 with sparse part having weight 37353617.
Pruned matrix : 382056 x 384282 with weight 25246154.
Total sieving time: 31.51 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 4.73 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,155,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000
total time: 36.60 hours.
 --------- CPU info (if available) ----------

Note: Table 99...991 had been completed up to 172.

Oct 11, 2005 (2nd)

By Kenichiro Yamaguchi / GGNFS-0.77.1

(10¹⁴⁹+6·10⁷⁴-1)/3 = 33333333333333333333333333333333333333333333333333333333333333333333333333533333333333333333333333333333333333333333333333333333333333333333333333333_<149> = 17 · C148

C148 = P44 · P51 · P53

P44 = 88225351162645633129590559359575807063473939_<44>

P51 = 596171206798901535940028504016067250123297431811291_<51>

P53 = 37279101041130413646579997617877471987264017638997701_<53>

Number: 33533_74
N=1960784313725490196078431372549019607843137254901960784313725490196078431384313725490196078431372549019607843137254901960784313725490196078431372549
  ( 148 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=88225351162645633129590559359575807063473939 (pp44)
 r2=596171206798901535940028504016067250123297431811291 (pp51)
 r3=37279101041130413646579997617877471987264017638997701 (pp53)
Version: GGNFS-0.77.1
Total time: 95.13 hours.
Scaled time: 74.68 units (timescale=0.785).
Factorization parameters were as follows:
name: 33533_74
n: 1960784313725490196078431372549019607843137254901960784313725490196078431384313725490196078431372549019607843137254901960784313725490196078431372549 
m: 10000000000000000000000000
skew: 1 
c6: 1
c3: 6
c0: -10
type: snfs
qintsize: 10000
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Sieved special-q in [750000, 3530001)
Relations: rels:3128579, finalFF:256205
Initial matrix: 228278 x 256205 with sparse part having weight 32403815.
Pruned matrix : 224321 x 225526 with weight 26008950.
Total sieving time: 93.32 hours.
Total relation processing time: 0.32 hours.
Matrix solve time: 1.34 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,150,6,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000
total time: 95.13 hours.
 --------- CPU info (if available) ----------

(7·10¹⁴⁹-45·10⁷⁴-7)/9 = 77777777777777777777777777777777777777777777777777777777777777777777777777277777777777777777777777777777777777777777777777777777777777777777777777777_<149>= 3 · 113 · 57787253 · 361862503 · C131

C131 = P47 · P84

P47 = 43690240966887319700391058410971274669303866911_<47>

P84 = 251128359341732237335451035980116098703524354436581362431552219509789432846317838807_<84>

Number: 77277_74
N=10971858533259349729606961439732430619173992815736139317480397222220293539177218969395198134603391721823640452845516819285479015177
  ( 131 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=43690240966887319700391058410971274669303866911 (pp47)
 r2=251128359341732237335451035980116098703524354436581362431552219509789432846317838807 (pp84)
Version: GGNFS-0.77.1
Total time: 35.63 hours.
Scaled time: 40.37 units (timescale=1.133).
Factorization parameters were as follows:
name: 77277_74
n: 10971858533259349729606961439732430619173992815736139317480397222220293539177218969395198134603391721823640452845516819285479015177 
m: 10000000000000000000000000
skew: 1
c6: 7 
c3: -45
c0: -70
type: snfs
qintsize: 1000
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [1200000, 2191001)
Relations: rels:5999055, finalFF:666354
Initial matrix: 352272 x 666354 with sparse part having weight 66571545.
Pruned matrix : 287276 x 289101 with weight 19542312.
Total sieving time: 34.49 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 0.75 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,150,6,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 35.63 hours.
 --------- CPU info (if available) ----------

Oct 11, 2005

By Tyler Cadigan / GGNFS-0.77.1-20050930-pentium4 gnfs

(2·10¹⁷⁴+43)/9 = (2)₁₇₃7_<174> = 19 · 29 · 10487 · 6423559 · 70532117404207_<14> · 1540114041453736417_<19> · 5158919117740298720237_<22> · C107

C107 = P50 · P57

P50 = 16589785580222462313620004621034206905394890056421_<50>

P57 = 643975889848444833589206338819758992526723894368360535163_<57>

Number: (2*10^174+43)/9 
N=1068342193141865885207490124807043809609279694110080063954719974376318104533
8481648052480636402786824431623
  ( 107 digits)
Divisors found:
 r1=16589785580222462313620004621034206905394890056421 (pp50)
 r2=643975889848444833589206338819758992526723894368360535163 (pp57)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 24.23 hours.
Scaled time: 11.10 units (timescale=0.458).
Factorization parameters were as follows:
name: try
n: 
106834219314186588520749012480704380960927969411008006395471997437631810453384
81648052480636402786824431623
skew: 2720.79
# norm 1.86e+014
c5: 51240
c4: -1838166622
c3: -24219162956639
c2: 10168342829104629
c1: 21096891196156716135
c0: -91052948473760103831
# alpha -4.87
Y1: 201854090653
Y0: -183579286751225615786
# Murphy_E 1.71e-009
# M 
733719521123377486365851574149728043023425514504936044930653925694570774332361
6712501588363526878946778594
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 215001
)
Primes: RFBsize:183072, AFBsize:182689, largePrimes:4420527 encountered
Relations: rels:4459503, finalFF:425544
Max relations in full relation-set: 28
Initial matrix: 365844 x 425544 with sparse part having weight 32093553.
Pruned matrix : 319476 x 321369 with weight 20432088.
Total sieving time: 17.91 hours.
Total relation processing time: 0.32 hours.
Matrix solve time: 5.75 hours.
Time per square root: 0.25 hours.
Prototype def-par.txt line would be:
gnfs,106,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,25000
00,26,26,49,49,2.6,2.6,150000
total time: 24.23 hours.
 --------- CPU info (if available) ----------
P4 3.2 gig, 1024 mb RAM

Oct 10, 2005 (2nd)

By Sinkiti Sibata / GGNFS-0.77.1

(10¹⁵⁹+17)/9 = (1)₁₅₈3_<159> = 59 · 2287 · 3164748030433471_<16> · 508869722003299131338159_<24> · C114

C114 = P56 · P59

P56 = 21918177097312530089488698643486364254620637121125951583_<56>

P59 = 23328624540169739236194673078124052370965189712818664481803_<59>

Number: 11113_159
N=511320924108151432134411856740119469240746334836833853266717925421242537177166214682377974271237996992591962544149
  ( 114 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=21918177097312530089488698643486364254620637121125951583 (pp56)
 r2=23328624540169739236194673078124052370965189712818664481803 (pp59)
Version: GGNFS-0.77.1
Total time: 67.08 hours.
Scaled time: 44.67 units (timescale=0.666).
Factorization parameters were as follows:
name: 11113_159
n: 511320924108151432134411856740119469240746334836833853266717925421242537177166214682377974271237996992591962544149
m: 100000000000000000000000000000000
c5: 1
c0: 170
skew: 2
type: snfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [2000000, 3600001)
Relations: rels:5721497, finalFF:679529
Initial matrix: 566942 x 679529 with sparse part having weight 42317335.
Pruned matrix : 526225 x 529123 with weight 24144214.
Total sieving time: 59.87 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 6.73 hours.
Time per square root: 0.18 hours.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 67.08 hours.
 --------- CPU info (if available) ----------

Oct 10, 2005

By Tyler Cadigan / GGNFS-0.77.1-20050930-pentium4 gnfs

(79·10¹⁵⁵-7)/9 = 8(7)₁₅₅_<156> = 233 · 10433 · 1481882918251259_<16> · 5408053588527112006899636743_<28> · C107

C107 = P32 · P36 · P40

P32 = 65284723197930261268166364053401_<32>

P36 = 220613673743668983159486374835774857_<36>

P40 = 3128387783845623068000754294540409148477_<40>

Number: (79*10^155-7)/9
N=4505723894338902964140327779686729741311239594801929956356130151671147707340
2428700617197619020871097375389
  ( 107 digits)
Divisors found:
 r1=65284723197930261268166364053401 (pp32)
 r2=220613673743668983159486374835774857 (pp36)
 r3=3128387783845623068000754294540409148477 (pp40)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 25.03 hours.
Scaled time: 9.59 units (timescale=0.383).
Factorization parameters were as follows:
name: try
n: 
450572389433890296414032777968672974131123959480192995635613015167114770734024
28700617197619020871097375389
skew: 7506.17
# norm 1.01e+015
c5: 213900
c4: -7403477846
c3: -32887963032294
c2: 773836973533045521
c1: 2748630794139355627220
c0: -32390891210355041649585
# alpha -6.36
Y1: 158162055491
Y0: -183955739673748343164
# Murphy_E 1.51e-009
# M 
349232844417089456923012602886975953832958237685576428817163596546270173401719
60503832660864490474369591153
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2300001)
Primes: RFBsize:183072, AFBsize:183308, largePrimes:4450570 encountered
Relations: rels:4550175, finalFF:473900
Max relations in full relation-set: 28
Initial matrix: 366465 x 473900 with sparse part having weight 35821290.
Pruned matrix : 282153 x 284049 with weight 19342175.
Polynomial selection time: 1.10 hours.
Total sieving time: 18.80 hours.
Total relation processing time: 0.32 hours.
Matrix solve time: 4.56 hours.
Time per square root: 0.25 hours.
Prototype def-par.txt line would be:
gnfs,106,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,25000
00,26,26,49,49,2.6,2.6,150000
total time: 25.03 hours.
 --------- CPU info (if available) ----------
P4 3.2 gig, 1024 Mb RAM

Oct 9, 2005

By Kenichiro Yamaguchi / GGNFS-0.77.1

(10¹⁴⁹+36·10⁷⁴-1)/9 = 11111111111111111111111111111111111111111111111111111111111111111111111111511111111111111111111111111111111111111111111111111111111111111111111111111_<149> = 3² · 1171619 · 1465837 · C135

C135 = P67 · P69

P67 = 1485829062303075804614751162714480283789423224355929438379270591453_<67>

P69 = 483809115449734222243654827741611582855330882250280741427084513028781_<69>

Number: 11511_74
N=718857644342359144530468425402489027160430984958775365098933616672882490982373246082553637242045511104119086887127401684920254281608793
  ( 135 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=1485829062303075804614751162714480283789423224355929438379270591453 (pp67)
 r2=483809115449734222243654827741611582855330882250280741427084513028781 (pp69)
Version: GGNFS-0.77.1
Total time: 37.92 hours.
Scaled time: 43.53 units (timescale=1.148).
Factorization parameters were as follows:
name: 11511_74
n: 718857644342359144530468425402489027160430984958775365098933616672882490982373246082553637242045511104119086887127401684920254281608793 
m: 10000000000000000000000000
skew: 1
c6: 1 
c3: 36
c0: -10
type: snfs
qintsize: 500000
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Sieved special-q in [750000, 750000)
Relations: rels:3058806, finalFF:360391
Initial matrix: 228323 x 360391 with sparse part having weight 37258670.
Pruned matrix : 208045 x 209250 with weight 14860349.
Total sieving time: 37.01 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.71 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,150,6,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000
total time: 37.92 hours.
 --------- CPU info (if available) ----------

Oct 8, 2005

By Tyler Cadigan / GGNFS-0.77.1-20050930-pentium4 gnfs

2·10¹⁵⁸-1 = 1(9)₁₅₈_<159> = 1285907719_<10> · 586074106312714207_<18> · 19164974945145553260890513_<26> · C107

C107 = P49 · P58

P49 = 2146234644932441031676835698745485661674751462177_<49>

P58 = 6451819391586870357110797574746788420003224310291851364103_<58>

Number: 2*10^158-1
N=1384711830107068442565172130932484068051186395984570664728366915515022174594
9123264400015684619851260032231
  ( 107 digits)
Divisors found:
 r1=2146234644932441031676835698745485661674751462177 (pp49)
 r2=6451819391586870357110797574746788420003224310291851364103 (pp58)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 26.18 hours.
Scaled time: 10.31 units (timescale=0.394).
Factorization parameters were as follows:
name: try
n: 
138471183010706844256517213093248406805118639598457066472836691551502217459491
23264400015684619851260032231
skew: 10001.41
# norm 1.09e+014
c5: 19800
c4: -1174885606
c3: -5073349303007
c2: 127575625577585060
c1: 218203622201729620404
c0: -637911282839856843706560
# alpha -4.91
Y1: 11004478363
Y0: -233850921171800466889
# Murphy_E 1.58e-009
# M 
491573396812418272626164234090827900025760171418064334326265164723476745324268
3248376707376062596967517286
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2450001)
Primes: RFBsize:183072, AFBsize:182111, largePrimes:4598405 encountered
Relations: rels:4853200, finalFF:577774
Max relations in full relation-set: 28
Initial matrix: 365262 x 577774 with sparse part having weight 46599461.
Pruned matrix : 233939 x 235829 with weight 24674938.
Polynomial selection time: 1.38 hours.
Total sieving time: 20.14 hours.
Total relation processing time: 0.33 hours.
Matrix solve time: 4.06 hours.
Time per square root: 0.26 hours.
Prototype def-par.txt line would be:
gnfs,106,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,25000
00,26,26,49,49,2.6,2.6,150000
total time: 26.18 hours.
 --------- CPU info (if available) ----------
P4 3.2 gig, 1024 mb RAM

Oct 7, 2005 (3rd)

By Sinkiti Sibata / GGNFS-0.77.1

(4·10¹⁵⁷-1)/3 = 1(3)₁₅₇_<158> = 13 · 17978551 · C149

C149 = P59 · P91

P59 = 11784742985942415665452704376248438748650663844739813180159_<59>

P91 = 4840838372269646675533865959695954366979220927876263504066982745751369848416622643705577249_<91>

Number: 13333_157
N=5704803605368561910387778334533331640718103620481014521279501477293835532271989136616324869705245020252330908234156499269744491787
1358244667528602591
  ( 149 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=11784742985942415665452704376248438748650663844739813180159 (pp59)
 r2=4840838372269646675533865959695954366979220927876263504066982745751369848416622643705577249 (pp91)
Version: GGNFS-0.77.1
Total time: 58.92 hours.
Scaled time: 39.24 units (timescale=0.666).
Factorization parameters were as follows:
name: 13333_157
n:
570480360536856191038777833453333164071810362048101452127950147729383553227198913661632486970524502025233090823415649926974449178713
58244667528602591
m: 10000000000000000000000000000000
c5: 400
c0: -1
skew: 2
type: snfs
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [1500000, 3000001)
Relations: rels:5740073, finalFF:596250
Initial matrix: 433241 x 596250 with sparse part having weight 48785569.
Pruned matrix : 398328 x 400558 with weight 22242951.
Total sieving time: 53.87 hours.
Total relation processing time: 0.36 hours.
Matrix solve time: 4.54 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000
total time: 58.92 hours.
 --------- CPU info (if available) ----------

Oct 7, 2005 (2nd)

By Tyler Cadigan / GGNFS-0.77.1-20050930-pentium4 gnfs

(19·10¹⁶⁶-1)/9 = 2(1)₁₆₆_<167> = 3 · 17 · 3175751 · 112713619 · 4135365673_<10> · 4176850455607_<13> · 829442422864343185621_<21> · C107

C107 = P49 · P59

P49 = 6213420216137445595425609090774885058694729937893_<49>

P59 = 12990870768842369846194484414899045383684817307326588209343_<59>

Number: (19*10^166-1)/9
N=8071773906035418168761429981225195262410509225568634914700240596107186489084
7712340814918817438448472334299
  ( 107 digits)
Divisors found:
 r1=6213420216137445595425609090774885058694729937893 (pp49)
 r2=12990870768842369846194484414899045383684817307326588209343 (pp59)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 23.65 hours.
Scaled time: 9.74 units (timescale=0.412).
Factorization parameters were as follows:
name: try
n: 
807177390603541816876142998122519526241050922556863491470024059610718648908477
12340814918817438448472334299
skew: 21189.28
# norm 8.62e+014
c5: 42120
c4: 2117628782
c3: -39470352317003
c2: -896927806804315054
c1: 12531840400201270107300
c0: -414969552295676222425200
# alpha -7.01
Y1: 187282096837
Y0: -286083800478025317019
# Murphy_E 1.71e-009
# M 
755630682329984662755267528254778032545734178085067267716763282150772773740590
43361589693688544433793590347
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2300001)
Primes: RFBsize:183072, AFBsize:184066, largePrimes:4563908 encountered
Relations: rels:4796309, finalFF:571617
Max relations in full relation-set: 28
Initial matrix: 367221 x 571617 with sparse part having weight 44686172.
Pruned matrix : 231109 x 233009 with weight 22844294.
Polynomial selection time: 1.08 hours.
Total sieving time: 18.34 hours.
Total relation processing time: 0.34 hours.
Matrix solve time: 3.64 hours.
Time per square root: 0.23 hours.
Prototype def-par.txt line would be:
gnfs,106,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,25000
00,26,26,49,49,2.6,2.6,150000
total time: 23.65 hours.
 --------- CPU info (if available) ----------
P4 3.2 gig, 1024 Mb RAM

Oct 7, 2005

By Kenichiro Yamaguchi / GGNFS-0.77.1

(7·10¹⁴⁷-45·10⁷³-7)/9 = 777777777777777777777777777777777777777777777777777777777777777777777777727777777777777777777777777777777777777777777777777777777777777777777777777_<147> = 1213 · 13034011 · 6512155106833_<13> · C124

C124 = P57 · P68

P57 = 539961070762634006739314270069931772179621616448110278727_<57>

P68 = 13990378383901381343792947008641308012832419025677415186235716656729_<68>

Number: 77277_73
N=7554259692545798967586280271285939786581999954198002876496391846168266464680777432501131491117539365680769859033428770103983
  ( 124 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=539961070762634006739314270069931772179621616448110278727 (pp57)
 r2=13990378383901381343792947008641308012832419025677415186235716656729 (pp68)
Version: GGNFS-0.77.1
Total time: 99.69 hours.
Scaled time: 78.16 units (timescale=0.784).
Factorization parameters were as follows:
name: 77277_73
n: 7554259692545798967586280271285939786581999954198002876496391846168266464680777432501131491117539365680769859033428770103983
m: 1000000000000000000000000
skew: 1 
c6: 7000
c3: -450
c0: -7
type: snfs
qintsize: 1000
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Sieved special-q in [750000, 8578001)
Relations: rels:3905231, finalFF:265759
Initial matrix: 228574 x 265759 with sparse part having weight 38529934.
Pruned matrix : 224715 x 225921 with weight 30012635.
Total sieving time: 97.59 hours.
Total relation processing time: 0.45 hours.
Matrix solve time: 1.48 hours.
Time per square root: 0.18 hours.
Prototype def-par.txt line would be:
snfs,147,6,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000
total time: 99.69 hours.
 --------- CPU info (if available) ----------

(10¹⁴⁹+27·10⁷⁴-1)/9 = 11111111111111111111111111111111111111111111111111111111111111111111111111411111111111111111111111111111111111111111111111111111111111111111111111111_<149> = 337 · 14864488977819792974162295667_<29> · C118

C118 = P58 · P60

P58 = 7384067216102462621256190273252185567572437363247736668941_<58>

P60 = 300387575100043727996533019070652041405300440160360920438849_<60>

Number: 11411_74
N=2218082045420749310403162020312681994837057759081352978041132837998260454070077557220057065863299438613020175148088909
  ( 118 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=7384067216102462621256190273252185567572437363247736668941 (pp58)
 r2=300387575100043727996533019070652041405300440160360920438849 (pp60)
Version: GGNFS-0.77.1
Total time: 48.86 hours.
Scaled time: 56.28 units (timescale=1.152).
Factorization parameters were as follows:
name: 11411_74
n: 2218082045420749310403162020312681994837057759081352978041132837998260454070077557220057065863299438613020175148088909 
m: 10000000000000000000000000
skew: 1
c6: 1 
c3: 27
c0: -10
type: snfs
qintsize: 1000000
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Sieved special-q in [750000, 750000)
Relations: rels:3287976, finalFF:402614
Initial matrix: 228183 x 402614 with sparse part having weight 46738573.
Pruned matrix : 203566 x 204770 with weight 17113970.
Total sieving time: 48.22 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.42 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,150,6,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000
total time: 48.86 hours.
 --------- CPU info (if available) ----------

Oct 6, 2005

By Tyler Cadigan / GGNFS-0.77.1-20050930-pentium4 gnfs

(86·10¹⁵¹+31)/9 = 9(5)₁₅₀9_<152> = 3 · 11 · 29 · 769 · 3557 · 2756057507779_<13> · 3581409699470998083447593_<25> · C106

C106 = P40 · P66

P40 = 3849646161001019789143190583478641330829_<40>

P66 = 960662205499588834060367844684766611533009035501918866249588434953_<66>

Number: 
N=3698209571420264915006403117467418197659829602978111398572047205250720231665
990030552863508178431220066037
  ( 106 digits)
Divisors found:
 r1=3849646161001019789143190583478641330829 (pp40)
 r2=960662205499588834060367844684766611533009035501918866249588434953 (pp66)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 23.14 hours.
Scaled time: 9.30 units (timescale=0.402).
Factorization parameters were as follows:
name: try
n: 
369820957142026491500640311746741819765982960297811139857204720525072023166599
0030552863508178431220066037
skew: 7197.39
# norm 7.49e+013
c5: 36960
c4: -1283510322
c3: -4245517100537
c2: 67583707016215790
c1: 97718921109775493596
c0: -246087869822037563183364
# alpha -4.77
Y1: 108319835719
Y0: -158509016913006468127
# Murphy_E 1.73e-009
# M 
712218549404954049250323867705569303904109697594251628932317675254645248677021
599919584691883154339899468
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2300001)
Primes: RFBsize:183072, AFBsize:182479, largePrimes:4437804 encountered
Relations: rels:4508549, finalFF:451875
Max relations in full relation-set: 28
Initial matrix: 365636 x 451875 with sparse part having weight 34605517.
Pruned matrix : 297560 x 299452 with weight 19797121.
Total sieving time: 17.39 hours.
Total relation processing time: 0.31 hours.
Matrix solve time: 5.18 hours.
Time per square root: 0.27 hours.
Prototype def-par.txt line would be:
gnfs,105,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,25000
00,26,26,49,49,2.6,2.6,150000
total time: 23.14 hours.
 --------- CPU info (if available) ----------
P4 3.2 gig, 1-24 mb RAM

Oct 5, 2005 (2nd)

By Sinkiti Sibata / GGNFS-0.77.1

(16·10¹⁵⁵-7)/9 = 1(7)₁₅₅_<156> = 3 · C155

C155 = P73 · P82

P73 = 7125116857458280461046747727398728822550057760790147950702735682169465159_<73>

P82 = 8316952612114578036270856577542486539606426446517458465945695974546403895108089901_<82>

Number: 17777_155
N=59259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259
  ( 155 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=7125116857458280461046747727398728822550057760790147950702735682169465159 (pp73)
 r2=8316952612114578036270856577542486539606426446517458465945695974546403895108089901 (pp82)
Version: GGNFS-0.77.1
Total time: 41.01 hours.
Scaled time: 26.08 units (timescale=0.636).
Factorization parameters were as follows:
name: 17777_155
n: 59259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259
m: 10000000000000000000000000000000
c5: 16
c0: -7
skew: 2
type: snfs
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [1500000, 2500001)
Relations: rels:5565484, finalFF:566524
Initial matrix: 433551 x 566524 with sparse part having weight 42334961.
Pruned matrix : 393901 x 396132 with weight 20273014.
Total sieving time: 36.19 hours.
Total relation processing time: 0.37 hours.
Matrix solve time: 4.29 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000
total time: 41.01 hours.
 --------- CPU info (if available) ----------

Oct 5, 2005

By Tyler Cadigan / GGNFS-0.77.1-20050930-pentium4 gnfs

(65·10¹⁶⁴+43)/9 = 7(2)₁₆₃7_<165> = 439 · 4969 · 1121788638739_<13> · 2208509897446174801_<19> · 16593692615156902858999_<23> · C106

C106 = P37 · P70

P37 = 1553337788003002160800207996061988253_<37>

P70 = 5184632701156864875628511570734466621572003441098635405139333298106509_<70>

Number: (65*10^164+43)/9 
N=8053485891623034627982576910582286856970550711314674708525483252408106062221
222245761854654180314700838777
  ( 106 digits)
Divisors found:
 r1=1553337788003002160800207996061988253 (pp37)
 r2=5184632701156864875628511570734466621572003441098635405139333298106509 
(pp70)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 22.14 hours.
Scaled time: 8.86 units (timescale=0.400).
Factorization parameters were as follows:
name: try
n: 
805348589162303462798257691058228685697055071131467470852548325240810606222122
2245761854654180314700838777
skew: 3388.87
# norm 1.04e+014
c5: 154800
c4: 4535508726
c3: 2007460750209
c2: -47855158595518438
c1: 21461941375814145016
c0: 41209937517651963176512
# alpha -4.84
Y1: 68288415041
Y0: -139072524934748618113
# Murphy_E 1.70e-009
# M 
537681203801633681325264430261461671417437663604990151656345544577484227514235
8511605319487823555631443577
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2300001)
Primes: RFBsize:183072, AFBsize:183756, largePrimes:4509358 encountered
Relations: rels:4666894, finalFF:513689
Max relations in full relation-set: 28
Initial matrix: 366904 x 513689 with sparse part having weight 39246364.
Pruned matrix : 258718 x 260616 with weight 20299421.
Total sieving time: 17.67 hours.
Total relation processing time: 0.31 hours.
Matrix solve time: 3.90 hours.
Time per square root: 0.25 hours.
Prototype def-par.txt line would be:
gnfs,105,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,25000
00,26,26,49,49,2.6,2.6,150000
total time: 22.14 hours.
 --------- CPU info (if available) ----------
P4 3.2 gig 1024 MB RAM

Oct 4, 2005

By Tyler Cadigan / GGNFS-0.77.1-20050930-pentium4 gnfs

(28·10¹⁶⁵-1)/9 = 3(1)₁₆₅_<166> = 3 · 1997 · 41029853253616558862159_<23> · 1479931381061176239842955946643233_<34> · C106

C106 = P49 · P58

P49 = 2662130344631855481640471681171550281616064848447_<49>

P58 = 3212516327124022069219127196505956546984798871424714788369_<58>

Number: (28*10^165-1)/9
N=8552137197062135452946734939039401000390352520643770708997187105215087703113
602922115601036755747663312943
  ( 106 digits)
Divisors found:
 r1=2662130344631855481640471681171550281616064848447 (pp49)
 r2=3212516327124022069219127196505956546984798871424714788369 (pp58)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 23.43 hours.
Scaled time: 9.30 units (timescale=0.397).
Factorization parameters were as follows:
name: try
n: 
855213719706213545294673493903940100039035252064377070899718710521508770311360
2922115601036755747663312943
skew: 3561.77
# norm 1.93e+014
c5: 794880
c4: -6039392880
c3: -36285420045202
c2: 86961503898225370
c1: 341611607879687875799
c0: -1923453437557448661618
# alpha -5.39
Y1: 262642520107
Y0: -101474361206990021707
# Murphy_E 1.62e-009
# M 
844269480175799858330152333171433464083953649561414481424416189593910037841661
9571100566992690139641353636
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2300001)
Primes: RFBsize:183072, AFBsize:183326, largePrimes:4461973 encountered
Relations: rels:4570043, finalFF:480671
Max relations in full relation-set: 28
Initial matrix: 366478 x 480671 with sparse part having weight 36716103.
Pruned matrix : 279123 x 281019 with weight 19473805.
Polynomial selection time: 0.97 hours.
Total sieving time: 17.53 hours.
Total relation processing time: 0.32 hours.
Matrix solve time: 4.35 hours.
Time per square root: 0.26 hours.
Prototype def-par.txt line would be:
gnfs,105,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,25000
00,26,26,49,49,2.6,2.6,150000
total time: 23.43 hours.
 --------- CPU info (if available) ----------
P4 3.2 gig, 1024 Mb RAM

Oct 3, 2005 (2nd)

By Kenichiro Yamaguchi / GGNFS-0.77.1

(7·10¹⁴⁷-36·10⁷³-7)/9 = 777777777777777777777777777777777777777777777777777777777777777777777777737777777777777777777777777777777777777777777777777777777777777777777777777_<147> = 11 · 21023 · 239282508927295175522107_<24> · C119

C119 = P48 · P71

P48 = 788329650501503801440820969644645670224132529951_<48>

P71 = 17829917756532436365539600908128276083256168083369835172387518102946537_<71>

Number: 77377_73
N=14055852833477772307971316696272095272055107070214374330386574894351597475885168693977768149430530967932009405504229687
  ( 119 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=788329650501503801440820969644645670224132529951 (pp48)
 r2=17829917756532436365539600908128276083256168083369835172387518102946537 (pp71)
Version: GGNFS-0.77.1
Total time: 37.52 hours.
Scaled time: 44.68 units (timescale=1.191).
Factorization parameters were as follows:
name: 77377_73
n: 14055852833477772307971316696272095272055107070214374330386574894351597475885168693977768149430530967932009405504229687  
m: 1000000000000000000000000
skew: 1
c6: 7000
c3: -360
c0: -7
type: snfs
qintsize: 1000000
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Sieved special-q in [750000, 750000)
Relations: rels:3447321, finalFF:365681
Initial matrix: 228599 x 365681 with sparse part having weight 46064972.
Pruned matrix : 211359 x 212565 with weight 20555344.
Total sieving time: 36.16 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 1.07 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,147,6,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000
total time: 37.52 hours.
 --------- CPU info (if available) ----------

Oct 3, 2005

By Sinkiti Sibata / GGNFS-0.77.1

(10¹⁵³+17)/9 = (1)₁₅₂3_<153> = 719 · 13931 · 2014069 · C139

C139 = P57 · P83

P57 = 114521833356465900020415825623800689715941506216490899461_<57>

P83 = 48093199574286224364697377298058658387570280747098458767424524501531862989782136013_<83>

Number: 11113_153
N=5507721387225663752003822340429316847883989899167841894194808756524630892595224851466945354593237482894480141458263717053006855884
210388993
  ( 139 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=114521833356465900020415825623800689715941506216490899461 (pp57)
 r2=48093199574286224364697377298058658387570280747098458767424524501531862989782136013 (pp83)
Version: GGNFS-0.77.1
Total time: 48.49 hours.
Scaled time: 28.95 units (timescale=0.597).
Factorization parameters were as follows:
name: 11113_153
n:
550772138722566375200382234042931684788398989916784189419480875652463089259522485146694535459323748289448014145826371705300685588421
0388993
m: 10000000000000000000000000000000
c5: 1
c0: 1700
skew: 2
type: snfs

Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [1500000, 2700001)
Relations: rels:5752017, finalFF:621608
Initial matrix: 433576 x 621608 with sparse part having weight 48464154.
Pruned matrix : 385028 x 387259 with weight 19679907.
Total sieving time: 43.67 hours.
Total relation processing time: 0.31 hours.
Matrix solve time: 4.34 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,155,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000
total time: 48.49 hours.
 --------- CPU info (if available) ----------

Oct 2, 2005

By Kenichiro Yamaguchi / GGNFS-0.77.1

(10¹⁴⁷+12·10⁷³-1)/3 = 333333333333333333333333333333333333333333333333333333333333333333333333373333333333333333333333333333333333333333333333333333333333333333333333333_<147> = 3607 · 1724094571309367654105702489_<28> · C116

C116 = P45 · P71

P45 = 884687692177158110023475232489995040629719097_<45>

P71 = 60587290803002915341399965280998780397341568241359510179116666563824643_<71>

Number: 33733_73
N=53600830475775005772757206877238796840764060857339607199248591985979911597205365826066623301705750025992467056307371
  ( 116 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=884687692177158110023475232489995040629719097 (pp45)
 r2=60587290803002915341399965280998780397341568241359510179116666563824643 (pp71)
Version: GGNFS-0.77.1
Total time: 83.82 hours.
Scaled time: 65.71 units (timescale=0.784).
Factorization parameters were as follows:
name: 33733_73
n: 53600830475775005772757206877238796840764060857339607199248591985979911597205365826066623301705750025992467056307371 
m: 1000000000000000000000000
skew: 1 
c6: 1000
c3: 120
c0: -1
type: snfs
qintsize: 5000
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Sieved special-q in [750000, 7390001)
Relations: rels:3697112, finalFF:256799
Initial matrix: 227255 x 256799 with sparse part having weight 35514151.
Pruned matrix : 223927 x 225127 with weight 28819130.
Total sieving time: 81.64 hours.
Total relation processing time: 0.55 hours.
Matrix solve time: 1.44 hours.
Time per square root: 0.18 hours.
Prototype def-par.txt line would be:
snfs,147,6,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000
total time: 83.82 hours.
 --------- CPU info (if available) ----------

Oct 1, 2005 (2nd)

By Kenichiro Yamaguchi / GGNFS-0.77.1

(7·10¹⁴⁷+9·10⁷³-7)/9 = 777777777777777777777777777777777777777777777777777777777777777777777777787777777777777777777777777777777777777777777777777777777777777777777777777_<147> = 1333100720561341_<16> · C132

C132 = P44 · P89

P44 = 49133589931465103711288641263105967143862201_<44>

P89 = 11874465513153241064602344533676608741669729094829753777928244341436139904807094249036397_<89>

Number: 77877_73
N=583435119178595691211498028354094852670593276016544554582023360518588724917133541375680240070991827336262450168816109961717201529797
  ( 132 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=49133589931465103711288641263105967143862201 (pp44)
 r2=11874465513153241064602344533676608741669729094829753777928244341436139904807094249036397 (pp89)
Version: GGNFS-0.77.1
Total time: 60.20 hours.
Scaled time: 70.01 units (timescale=1.163).
Factorization parameters were as follows:
name: 77877_73
n: 583435119178595691211498028354094852670593276016544554582023360518588724917133541375680240070991827336262450168816109961717201529797 
m: 1000000000000000000000000
skew: 1
c6: 7000
c3: 90
c0: -7
type: snfs
qintsize: 50000
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Sieved special-q in [750000, 750000)
Relations: rels:3741675, finalFF:257125
Initial matrix: 228049 x 257125 with sparse part having weight 36934181.
Pruned matrix : 224720 x 225924 with weight 30177991.
Total sieving time: 58.40 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 1.47 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,147,6,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000
total time: 60.20 hours.
 --------- CPU info (if available) ----------

Oct 1, 2005

By Sinkiti Sibata / GGNFS-0.77.1

(4·10¹⁵¹-1)/3 = 1(3)₁₅₁_<152> = 13 · C151

C151 = P41 · P110

P41 = 19189093080851200410980502927963609734231_<41>

P110 = 53449166217475541516043374758811117038579535369434935912619763380540917747872212270502296452889286207638946111_<110>

Number: 13333_151
N=1025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025
641025641025641025641
  ( 151 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=19189093080851200410980502927963609734231 (pp41)
 r2=53449166217475541516043374758811117038579535369434935912619763380540917747872212270502296452889286207638946111 (pp110)
Version: GGNFS-0.77.1
Total time: 29.47 hours.
Scaled time: 17.62 units (timescale=0.598).
Factorization parameters were as follows:
number: 13333_151
n:
102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564
1025641025641025641
m: 1000000000000000000000000000000
c5: 40
c0: -1
skew: 2
type: snfs
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [1200000, 1900001)
Relations: rels:5224649, finalFF:459283
Initial matrix: 353071 x 459283 with sparse part having weight 37699179.
Pruned matrix : 325069 x 326898 with weight 18529479.
Total sieving time: 25.90 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 3.12 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 29.47 hours.
 --------- CPU info (if available) ----------

September 2005

Sep 30, 2005

By Makoto Kamada / GGNFS-0.77.1

10¹⁶⁹-9 = (9)₁₆₈1_<169> = C169

C169 = P56 · P114

P56 = 94211591202708488915524241578569786726705726654902440361_<56>

P114 = 106144051621882701124925887117325659671531292461815961898361365027825862303359296356795774245471393139352946460831_<114>

Number: 99991_169
N=9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991
  ( 169 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=94211591202708488915524241578569786726705726654902440361 (pp56)
 r2=106144051621882701124925887117325659671531292461815961898361365027825862303359296356795774245471393139352946460831 (pp114)
Version: GGNFS-0.77.1
Total time: 168.51 hours.
Scaled time: 144.92 units (timescale=0.860).
Factorization parameters were as follows:
n: 9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991
m: 10000000000000000000000000000000000
c5: 1
c0: -90
skew: 3
type: snfs
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [3000000, 7600001)
Relations: rels:6364281, finalFF:925392
Initial matrix: 826019 x 925392 with sparse part having weight 57695015.
Pruned matrix : 789184 x 793378 with weight 41189257.
Total sieving time: 141.03 hours.
Total relation processing time: 0.68 hours.
Matrix solve time: 26.66 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,48,48,2.6,2.6,100000
total time: 168.51 hours.
 --------- CPU info (if available) ----------

Sep 29, 2005 (2nd)

By Sinkiti Sibata / GGNFS-0.77.1

(10¹⁵¹+71)/9 = (1)₁₅₀9_<151> = 3 · 23 · 61 · 1163 · 1392536443_<10> · C135

C135 = P52 · P84

P52 = 1435575192424309524768909293072449589412358289040997_<52>

P84 = 113544561029960344981988582475143875453433518727002828818207021463470771560713531067_<84>

Number: 11119_151
N=1630017550493190787306213877005142857399139736124182065763045639252398292930256964576559345971400401608702061247664839746110369961
53799
  ( 135 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=1435575192424309524768909293072449589412358289040997 (pp52)
 r2=113544561029960344981988582475143875453433518727002828818207021463470771560713531067 (pp84)
Version: GGNFS-0.77.1
Total time: 29.11 hours.
Scaled time: 19.42 units (timescale=0.667).
Factorization parameters were as follows:
name: 11119_151
n:
163001755049319078730621387700514285739913973612418206576304563925239829293025696457655934597140040160870206124766483974611036996153
799
m: 1000000000000000000000000000000
c5: 10
c0: 71
skew: 2
type: snfs
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [1200000, 1900001)
Relations: rels:5167413, finalFF:440239
Initial matrix: 352962 x 440239 with sparse part having weight 35869279.
Pruned matrix : 329115 x 330943 with weight 19351732.
Total sieving time: 25.62 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 3.12 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 29.11 hours.
 --------- CPU info (if available) ----------

Sep 29, 2005

By Kenichiro Yamaguchi / GGNFS-0.77.1

(10¹⁴⁷+63·10⁷³-1)/9 = 111111111111111111111111111111111111111111111111111111111111111111111111181111111111111111111111111111111111111111111111111111111111111111111111111_<147> = 41 · 733 · 5669 · C138

C138 = P59 · P80

P59 = 18043670197968668793984586707577096674672799298135615597639_<59>

P80 = 36144175451666733695082301849669634364211513159356501466289901979180714137743657_<80>

Number: 11811_73
N=652173581427389791594625534819755229694025596885680192259571805404684165289942910179028932880723041736696821275246747216925708611036425823
  ( 138 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=18043670197968668793984586707577096674672799298135615597639 (pp59)
 r2=36144175451666733695082301849669634364211513159356501466289901979180714137743657 (pp80)
Version: GGNFS-0.77.1
Total time: 43.92 hours.
Scaled time: 34.43 units (timescale=0.784).
Factorization parameters were as follows:
name: 11811_73
n: 652173581427389791594625534819755229694025596885680192259571805404684165289942910179028932880723041736696821275246747216925708611036425823 
m: 1000000000000000000000000
skew: 1 
c6: 1000
c3: 630
c0: -1
type: snfs
qintsize: 200000
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Sieved special-q in [750000, 4750001)
Relations: rels:3206706, finalFF:261356
Initial matrix: 228140 x 261356 with sparse part having weight 32357297.
Pruned matrix : 223464 x 224668 with weight 25007265.
Total sieving time: 42.12 hours.
Total relation processing time: 0.39 hours.
Matrix solve time: 1.25 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,147,6,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000
total time: 43.92 hours.
 --------- CPU info (if available) ----------

Sep 28, 2005

By Sinkiti Sibata / GGNFS-0.77.1

(7·10¹⁴⁹+18·10⁷⁴-7)/9 = 77777777777777777777777777777777777777777777777777777777777777777777777777977777777777777777777777777777777777777777777777777777777777777777777777777_<149> = C149

C149 = P46 · P50 · P55

P46 = 5404604503922020712999254263107777804727300539_<46>

P50 = 10192808475155750989833315677764597817385059969119_<50>

P55 = 1411879875419220434906116593970461441967036874923815197_<55>

Number: 77977_74
N=7777777777777777777777777777777777777777777777777777777777777777777777777797777777777777777777777777777777777777777777777777777777
7777777777777777777
  ( 149 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=5404604503922020712999254263107777804727300539 (pp46)
 r2=10192808475155750989833315677764597817385059969119 (pp50)
 r3=1411879875419220434906116593970461441967036874923815197 (pp55)
Version: GGNFS-0.77.1
Total time: 39.25 hours.
Scaled time: 26.14 units (timescale=0.666).
Factorization parameters were as follows:
name: 77977_74
n:
777777777777777777777777777777777777777777777777777777777777777777777777779777777777777777777777777777777777777777777777777777777777
77777777777777777
m: 10000000000000000000000000
c6: 7
c3: 18
c0: -70
skew: 2
type: snfs
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [1200000, 2100001)
Relations: rels:5297545, finalFF:484339
Initial matrix: 352514 x 484339 with sparse part having weight 41780222.
Pruned matrix : 319653 x 321479 with weight 18586160.
Total sieving time: 35.85 hours.
Total relation processing time: 0.35 hours.
Matrix solve time: 2.84 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
snfs,150,6,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 39.25 hours.
 --------- CPU info (if available) ----------

Sep 27, 2005 (2nd)

By Kenichiro Yamaguchi / GGNFS-0.77.1

(10¹⁴⁷+54·10⁷³-1)/9 = 111111111111111111111111111111111111111111111111111111111111111111111111171111111111111111111111111111111111111111111111111111111111111111111111111_<147> = 3² · 17 · 19 · C143

C143 = P62 · P81

P62 = 50183216683544210347493719943505384799366983609805300613170571_<62>

P81 = 761647398729307770338953052863586957090523894962597420009504549850879755898450863_<81>

Number: 11711_73
N=38221916446890647097045445858655352979398387035125941214692504682184764764744104269388067117685280739976302411802927798799831823567633681152773
  ( 143 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=50183216683544210347493719943505384799366983609805300613170571 (pp62)
 r2=761647398729307770338953052863586957090523894962597420009504549850879755898450863 (pp81)
Version: GGNFS-0.77.1
Total time: 29.19 hours.
Scaled time: 32.46 units (timescale=1.112).
Factorization parameters were as follows:
name: 11711_73
n: 38221916446890647097045445858655352979398387035125941214692504682184764764744104269388067117685280739976302411802927798799831823567633681152773
m: 1000000000000000000000000
skew: 1
c6: 1000
c3: 540
c0: -1
type: snfs
qintsize: 3211000
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Sieved special-q in [750000, 750000)
Relations: rels:3080495, finalFF:269591
Initial matrix: 227947 x 269591 with sparse part having weight 31198209.
Pruned matrix : 222150 x 223353 with weight 22383978.
Total sieving time: 27.82 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 1.12 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,147,6,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000
total time: 29.19 hours.
 --------- CPU info (if available) ----------

Sep 27, 2005

By Anton Korobeynikov / GGNFS-0.77.1-20050918-athlon gnfs

(31·10¹⁷⁵-13)/9 = 3(4)₁₇₄3_<176> = 3³ · 11 · 1758714678208981_<16> · 218277674307795096958217_<24> · 33833568313095695481541775239_<29> · C106

C106 = P52 · P55

P52 = 1338118630701493155755390329944470852310677155961119_<52>

P55 = 6672915229960602211087964240079771261594177163348746167_<55>

Number: tst106
N=8929152190302020347429266526432030524488161133378763203396320408660623788598621809325516977041298452280873
  ( 106 digits)
Divisors found:
 r1=1338118630701493155755390329944470852310677155961119 (pp52)
 r2=6672915229960602211087964240079771261594177163348746167 (pp55)
Version: GGNFS-0.77.1-20050918-athlon
Total time: 23.25 hours.
Scaled time: 6.16 units (timescale=0.265).
Factorization parameters were as follows:
name: tst106
n: 8929152190302020347429266526432030524488161133378763203396320408660623788598621809325516977041298452280873
skew: 13988.75
# norm 9.24e+014
c5: 109200
c4: -124756648
c3: -97486167632234
c2: 70373387485007969
c1: 5966520956209533976686
c0: -9599423711263654546510848
# alpha -6.21
Y1: 137916226933
Y0: -152236085177219492257
# Murphy_E 1.53e-009
# M 4204347915402033042204649121630437412441159100594441987808255706056133265569276024396700002667842788525704
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2010089)
Primes: RFBsize:183072, AFBsize:182943, largePrimes:4365341 encountered
Relations: rels:4362550, finalFF:391364
Max relations in full relation-set: 28
Initial matrix: 366103 x 391364 with sparse part having weight 32502185.
Pruned matrix : 344921 x 346815 with weight 25664956.
Total sieving time: 15.74 hours.
Total relation processing time: 0.42 hours.
Matrix solve time: 6.56 hours.
Time per square root: 0.53 hours.
Prototype def-par.txt line would be:
gnfs,105,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 23.25 hours.
 --------- CPU info (if available) ----------

Sep 26, 2005 (2nd)

By Sinkiti Sibata / GGNFS-0.77.1

10¹⁴⁵-5·10⁷²-1 = 9999999999999999999999999999999999999999999999999999999999999999999999994999999999999999999999999999999999999999999999999999999999999999999999999_<145> = 81839 · 98272507 · C133

C133 = P39 · P94

P39 = 152850960360368016481796770480122031721_<39>

P94 = 8134661370956745828048953759976786314450618333909639195969999821733276700744096239942518707403_<94>

Number: 99499_72
N=1243390802757126501296053602554702077688262967135835473292833861150048331817913321440621720655003863799081320556499282362379083530
563
  ( 133 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=152850960360368016481796770480122031721 (pp39)
 r2=8134661370956745828048953759976786314450618333909639195969999821733276700744096239942518707403 (pp94)
Version: GGNFS-0.77.1
Total time: 46.05 hours.
Scaled time: 30.71 units (timescale=0.667).
Factorization parameters were as follows:
name: 99499_72
n:
124339080275712650129605360255470207768826296713583547329283386115004833181791332144062172065500386379908132055649928236237908353056
3
m: 1000000000000000000000000
c6: 10
c3: -5
c0: -1
skew: 2
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Sieved special-q in [650000, 4350001)
Relations: rels:3306355, finalFF:225841
Initial matrix: 200206 x 225841 with sparse part having weight 29679208.
Pruned matrix : 197120 x 198185 with weight 23952291.
Total sieving time: 43.47 hours.
Total relation processing time: 0.51 hours.
Matrix solve time: 1.91 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,145,6,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 46.05 hours.
 --------- CPU info (if available) ----------

Sep 26, 2005

By Kenichiro Yamaguchi / GGNFS-0.77.1

(7·10¹⁴⁵-54·10⁷²-7)/9 = 7777777777777777777777777777777777777777777777777777777777777777777777771777777777777777777777777777777777777777777777777777777777777777777777777_<145> = 71 · 199 · 12188058719659076574629_<23> · C119

C119 = P38 · P81

P38 = 87564312641068638841591256231009360261_<38>

P81 = 515801290798649563626167419342575214155540733512744334738972726184941404656543177_<81>

Number: 77177_72
N=45165785488159710973051639553481235178894347636073938747091935366976442830753362823507269199197784011139077746494489197
  ( 119 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=87564312641068638841591256231009360261 (pp38)
 r2=515801290798649563626167419342575214155540733512744334738972726184941404656543177 (pp81)
Version: GGNFS-0.77.1
Total time: 37.81 hours.
Scaled time: 29.65 units (timescale=0.784).
Factorization parameters were as follows:
n: 45165785488159710973051639553481235178894347636073938747091935366976442830753362823507269199197784011139077746494489197 
m: 1000000000000000000000000
c6: 70
c3: -54
c0: -7
skew: 1
type: snfs
qintsize: 1000000
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Sieved special-q in [650000, 3650001)
Relations: rels:3437217, finalFF:375900
Initial matrix: 199834 x 375900 with sparse part having weight 48486997.
Pruned matrix : 180127 x 181190 with weight 17117184.
Total sieving time: 36.78 hours.
Total relation processing time: 0.29 hours.
Matrix solve time: 0.60 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,145,6,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 37.81 hours.
 --------- CPU info (if available) ----------

(7·10¹⁴⁵+9·10⁷²-7)/9 = 7777777777777777777777777777777777777777777777777777777777777777777777778777777777777777777777777777777777777777777777777777777777777777777777777_<145> = 383 · 811 · 6089 · 383303 · 30615034603619_<14> · C117

C117 = P47 · P70

P47 = 68431689554799209491887690638309240442707468639_<47>

P70 = 5121010810333912608676067303823655313256339089261174668305011424165007_<70>

Number: 77877_72
N=350439421979541043162765261875902491018760357666792585244047074023727465476969676295663708562855325114746563213715473
  ( 117 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=68431689554799209491887690638309240442707468639 (pp47)
 r2=5121010810333912608676067303823655313256339089261174668305011424165007 (pp70)
Version: GGNFS-0.77.1
Total time: 26.81 hours.
Scaled time: 31.27 units (timescale=1.166).
Factorization parameters were as follows:
name: 77877_72
n: 350439421979541043162765261875902491018760357666792585244047074023727465476969676295663708562855325114746563213715473 
m: 1000000000000000000000000
skew: 1
c6: 70
c3: 9
c0: -7
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Sieved special-q in [650000, 650000)
Relations: rels:3227183, finalFF:235032
Initial matrix: 200272 x 235032 with sparse part having weight 31149252.
Pruned matrix : 196449 x 197514 with weight 23376361.
Total sieving time: 25.10 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 1.40 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,145,6,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 26.81 hours.
 --------- CPU info (if available) ----------

Sep 24, 2005 (2nd)

By Sinkiti Sibata / GGNFS-0.77.1

10¹⁴³-5·10⁷¹-1 = 99999999999999999999999999999999999999999999999999999999999999999999999499999999999999999999999999999999999999999999999999999999999999999999999_<143> = 7 · 829 · 51157 · C135

C135 = P64 · P71

P64 = 4226983455085368113131838522651325280201438948126519944281685689_<64>

P71 = 79691465468688137474165323187199380282822368311237342631970794505834321_<71>

Number: 99499_71
N=3368545060476516876978352830039846755318530951493958324111239450057935758079663335210410154349732676137827403168637406444513792307
32169
  ( 135 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=4226983455085368113131838522651325280201438948126519944281685689 (pp64)
 r2=79691465468688137474165323187199380282822368311237342631970794505834321 (pp71)
Version: GGNFS-0.77.1
Total time: 29.81 hours.
Scaled time: 19.82 units (timescale=0.665).
Factorization parameters were as follows:
name: 99499_71
n:
336854506047651687697835283003984675531853095149395832411123945005793575807966333521041015434973267613782740316863740644451379230732
169
m: 1000000000000000000000000
c6: 1
c3: -5
c0: -10
skew: 2
type: snfs

Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Sieved special-q in [650000, 3150001)
Relations: rels:3013005, finalFF:231737
Initial matrix: 200200 x 231737 with sparse part having weight 27088785.
Pruned matrix : 196177 x 197242 with weight 20373082.
Total sieving time: 27.65 hours.
Total relation processing time: 0.37 hours.
Matrix solve time: 1.66 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,144,6,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 29.81 hours.
 --------- CPU info (if available) ----------

Sep 24, 2005

By Kenichiro Yamaguchi / GGNFS-0.77.1

(10¹⁴³+36·10⁷¹-1)/9 = 11111111111111111111111111111111111111111111111111111111111111111111111511111111111111111111111111111111111111111111111111111111111111111111111_<143> = 3 · 23908939 · 25810517 · C127

C127 = P46 · P82

P46 = 2607668807327004985161783467552891735050687879_<46>

P82 = 2301583820944128487085008688078452990774158844979393223368239060897835128041394781_<82>

(10¹⁴⁵+72·10⁷²-1)/9 = 1111111111111111111111111111111111111111111111111111111111111111111111119111111111111111111111111111111111111111111111111111111111111111111111111_<145> = 3² · 2107327 · 2723333 · 10118441480393_<14> · C118

C118 = P58 · P60

P58 = 4061310944478199450935127095296114671511035658753832154961_<58>

P60 = 523482822214804830828357706751542295784338038432502503653253_<60>

Number: 11911_72
N=2126026515107322376424368162911387965905961350419462213637544985698108336765616243172222324940307551568433484107738133
  ( 118 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=4061310944478199450935127095296114671511035658753832154961 (pp58)
 r2=523482822214804830828357706751542295784338038432502503653253 (pp60)
Version: GGNFS-0.77.1
Total time: 36.58 hours.
Scaled time: 28.68 units (timescale=0.784).
Factorization parameters were as follows:
n: 2126026515107322376424368162911387965905961350419462213637544985698108336765616243172222324940307551568433484107738133 
m: 1000000000000000000000000
c6: 10
c3: 72
c0: -1
skew: 1
type: snfs
qintsize: 1000000
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Sieved special-q in [650000, 3650001)
Relations: rels:3399791, finalFF:386171
Initial matrix: 200402 x 386171 with sparse part having weight 49013167.
Pruned matrix : 179494 x 180560 with weight 16551419.
Total sieving time: 35.63 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 0.59 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,145,6,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 36.58 hours.
 --------- CPU info (if available) ----------

Sep 23, 2005

By Sinkiti Sibata / GGNFS-0.77.1

10¹⁴⁹-5·10⁷⁴-1 = 99999999999999999999999999999999999999999999999999999999999999999999999999499999999999999999999999999999999999999999999999999999999999999999999999999_<149> = 73 · 1697 · 4253 · 94379 · 140363 · 419683619 · C122

C122 = P49 · P73

P49 = 7607082794944975537132889579438640845935478194747_<49>

P73 = 4487781874349498160146767447626885491119476257355891326606162986068662363_<73>

Number: 99499_74
N=34138928283829981483835794161021640466040291417085193935654332119712915240943444241925776849647744784377979912928303207161
  ( 122 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=7607082794944975537132889579438640845935478194747 (pp49)
 r2=4487781874349498160146767447626885491119476257355891326606162986068662363 (pp73)
Version: GGNFS-0.77.1
Total time: 67.74 hours.
Scaled time: 45.12 units (timescale=0.666).
Factorization parameters were as follows:
name: 99499_74
n: 34138928283829981483835794161021640466040291417085193935654332119712915240943444241925776849647744784377979912928303207161
m: 10000000000000000000000000
c6: 1
c3: -5
c0: -10
skew: 2
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Sieved special-q in [750000, 2650001)
Relations: rels:3003478, finalFF:284308
Initial matrix: 228589 x 284308 with sparse part having weight 32723180.
Pruned matrix : 220909 x 222115 with weight 20791093.
Total sieving time: 65.15 hours.
Total relation processing time: 0.38 hours.
Matrix solve time: 2.05 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,150,6,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000
total time: 67.74 hours.
 --------- CPU info (if available) ----------

Sep 22, 2005

By Kenichiro Yamaguchi / GGNFS-0.77.1

(7·10¹⁴³-18·10⁷¹-7)/9 = 77777777777777777777777777777777777777777777777777777777777777777777777577777777777777777777777777777777777777777777777777777777777777777777777_<143> = 3³ · 811 · 16126223813047_<14> · C126

C126 = P41 · P86

P41 = 16713088988339994082589554888842125451283_<41>

P86 = 13178971039368712383242077555833066132886647279685469526123716787222619190917368268741_<86>

Number: 77577_71
N=220261315755724913572106880169066606847972296952932304551593314722275727161329532239306795331791596332030899244084219047244703
  ( 126 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=16713088988339994082589554888842125451283 (pp41)
 r2=13178971039368712383242077555833066132886647279685469526123716787222619190917368268741 (pp86)
Version: GGNFS-0.77.1
Total time: 25.58 hours.
Scaled time: 20.11 units (timescale=0.786).
Factorization parameters were as follows:
n: 220261315755724913572106880169066606847972296952932304551593314722275727161329532239306795331791596332030899244084219047244703 
m: 1000000000000000000000000
c6: 7
c3: -18
c0: -70
skew: 1
type: snfs
qintsize: 1000000
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Sieved special-q in [650000, 2650001)
Relations: rels:2893823, finalFF:282437
Initial matrix: 199870 x 282437 with sparse part having weight 31188111.
Pruned matrix : 188368 x 189431 with weight 15596429.
Total sieving time: 24.69 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 0.58 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,144,6,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 25.58 hours.
 --------- CPU info (if available) ----------

Sep 21, 2005

By Kenichiro Yamaguchi / GGNFS-0.77.1

(7·10¹⁴³-45·10⁷¹-7)/9 = 77777777777777777777777777777777777777777777777777777777777777777777777277777777777777777777777777777777777777777777777777777777777777777777777_<143>= 3 · 97 · 167 · 220169 · 1193809768201760719_<19> · C115

C115 = P45 · P71

P45 = 403057793911824167022356193780204947197145521_<45>

P71 = 15107320712864825916941842087195959008317378609606036377161301236408411_<71>

Number: 77277_71
N=6089123358445703566359338445691733135195466081478896948086918682260578617109915516309164751062799007898897355377131
  ( 115 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=403057793911824167022356193780204947197145521 (pp45)
 r2=15107320712864825916941842087195959008317378609606036377161301236408411 (pp71)
Version: GGNFS-0.77.1
Total time: 36.13 hours.
Scaled time: 28.29 units (timescale=0.783).
Factorization parameters were as follows:
n: 6089123358445703566359338445691733135195466081478896948086918682260578617109915516309164751062799007898897355377131 
m: 1000000000000000000000000
c6: 7
c3: -45
c0: -70
skew: 1
type: snfs
qintsize: 1000000
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Sieved special-q in [650000, 3650001)
Relations: rels:3149530, finalFF:284155
Initial matrix: 200442 x 284155 with sparse part having weight 35293446.
Pruned matrix : 190418 x 191484 with weight 18747386.
Total sieving time: 35.05 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 0.73 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,144,6,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 36.13 hours.
 --------- CPU info (if available) ----------

Sep 20, 2005 (2nd)

By Makoto Kamada / GGNFS-0.77.1

(10¹⁵²-7)/3 = (3)₁₅₁1_<152> = 31 · 877 · 17333 · 15137587596899_<14> · 105778309518031_<15> · C116

C116 = P57 · P60

P57 = 247445620284419286332024260400277258105853174549257067019_<57>

P60 = 178529775276009541114346689149194427116014977593144491500851_<60>

Number: 33331_152
N=44176410982410163299974310599844589781710735107169108719596941998844558831709354455120517448624649334307593602533169
  ( 116 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=247445620284419286332024260400277258105853174549257067019 (pp57)
 r2=178529775276009541114346689149194427116014977593144491500851 (pp60)
Version: GGNFS-0.77.1
Total time: 26.58 hours.
Scaled time: 22.96 units (timescale=0.864).
Factorization parameters were as follows:
n: 44176410982410163299974310599844589781710735107169108719596941998844558831709354455120517448624649334307593602533169
m: 1000000000000000000000000000000
c5: 100
c0: -7
skew: 1
type: snfs
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [1200000, 2100001)
Relations: rels:5323108, finalFF:450213
Initial matrix: 353124 x 450213 with sparse part having weight 38399849.
Pruned matrix : 332963 x 334792 with weight 20317823.
Total sieving time: 23.60 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 2.70 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,152,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 26.58 hours.
 --------- CPU info (if available) ----------

Sep 20, 2005

By Sinkiti Sibata / GGNFS-0.77.1

10¹⁴⁹-7·10⁷⁴-1 = 99999999999999999999999999999999999999999999999999999999999999999999999999299999999999999999999999999999999999999999999999999999999999999999999999999_<149> = 9721 · 4189623909880529_<16> · C130

C130 = P58 · P72

P58 = 7690770857933312118597753750628516117910872540228607770081_<58>

P72 = 319259732546553198230034160874462037912072645302944776190499583078669031_<72>

Number: 99299_74a
N=2455353447180614710113666508161868422147013669430768580779628319622623794987516791058193652895797157987678638831283467974343061511
  ( 130 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=7690770857933312118597753750628516117910872540228607770081 (pp58)
 r2=319259732546553198230034160874462037912072645302944776190499583078669031 (pp72)
Version: GGNFS-0.77.1
Total time: 64.62 hours.
Scaled time: 38.58 units (timescale=0.597).
Factorization parameters were as follows:
name: 99299_74a
n:
2455353447180614710113666508161868422147013669430768580779628319622623794987516791058193652895797157987678638831283467974343061511
m: 10000000000000000000000000
c6: 1
c3: -7
c0: -10
skew: 2
type: snfsFactor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Sieved special-q in [750000, 2550001)
Relations: rels:2963705, finalFF:277804
Initial matrix: 227971 x 277804 with sparse part having weight 31390705.
Pruned matrix : 220823 x 222026 with weight 20682772.
Total sieving time: 62.19 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 1.96 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,150,6,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000
total time: 64.62 hours.
 --------- CPU info (if available) ----------

Sep 19, 2005 (2nd)

By Makoto Kamada / GGNFS-0.77.1

(10¹⁵¹+53)/9 = (1)₁₅₀7_<151> = 7³ · 109 · 12170033 · 1474257115384270604354669957_<28> · C112

C112 = P41 · P72

P41 = 13895338835485101820598178988327586760611_<41>

P72 = 119207270151444009334181713166925566184534569334425892610231192042679801_<72>

Number: 11117_151
N=1656425410407523938008362100731804302338694799025320828075910612347370794803640653528089475607271904065112118411
  ( 112 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=13895338835485101820598178988327586760611 (pp41)
 r2=119207270151444009334181713166925566184534569334425892610231192042679801 (pp72)
Version: GGNFS-0.77.1
Total time: 23.80 hours.
Scaled time: 20.52 units (timescale=0.862).
Factorization parameters were as follows:
n: 1656425410407523938008362100731804302338694799025320828075910612347370794803640653528089475607271904065112118411
m: 1000000000000000000000000000000
c5: 10
c0: 53
skew: 2
type: snfs
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [1200000, 2000001)
Relations: rels:5606912, finalFF:570395
Initial matrix: 352511 x 570395 with sparse part having weight 50641858.
Pruned matrix : 303423 x 305249 with weight 16702260.
Total sieving time: 21.61 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 1.92 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 23.80 hours.
 --------- CPU info (if available) ----------

Sep 19, 2005

By Kenichiro Yamaguchi / GGNFS-0.77.1

(10¹⁴³+54·10⁷¹-1)/9 = 11111111111111111111111111111111111111111111111111111111111111111111111711111111111111111111111111111111111111111111111111111111111111111111111_<143> = 83 · 615542356384709107_<18> · C123

C123 = P44 · P80

P44 = 16197706322224665168921392016601227322415057_<44>

P80 = 13426658248042374703718480358757697751184371777828778917717953298882176929884383_<80>

Number: 11711_71
N=217481067190665919305659947718591517014168410662205738485389977121150613582384490369998327579625463670744837070699348354831
  ( 123 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=16197706322224665168921392016601227322415057 (pp44)
 r2=13426658248042374703718480358757697751184371777828778917717953298882176929884383 (pp80)
Version: GGNFS-0.77.1
Total time: 25.39 hours.
Scaled time: 19.88 units (timescale=0.783).
Factorization parameters were as follows:
n: 217481067190665919305659947718591517014168410662205738485389977121150613582384490369998327579625463670744837070699348354831 
m: 1000000000000000000000000
c6: 1
c3: 54
c0: -10
skew: 1
type: snfs
qintsize: 1000000 
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Sieved special-q in [650000, 2650001)
Relations: rels:2901329, finalFF:277370
Initial matrix: 199736 x 277370 with sparse part having weight 30762538.
Pruned matrix : 189016 x 190078 with weight 15898623.
Total sieving time: 24.50 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 0.61 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,144,6,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 25.39 hours.
 --------- CPU info (if available) ----------

(7·10¹⁴³-54·10⁷¹-7)/9 = 77777777777777777777777777777777777777777777777777777777777777777777777177777777777777777777777777777777777777777777777777777777777777777777777_<143> = 13 · 239 · 398456431 · C131

C131 = P38 · P93

P38 = 66093701362031281001731974225870390331_<38>

P93 = 950546490842008147042688248625215333783327711118993319756406892329103327678906354661218607151_<93>

Number: 77177_71
N=62825135896438488441436771449779334797836466675272274335222651757497832551376624905031688189002553707685874429427514139316517856981
  ( 131 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=66093701362031281001731974225870390331 (pp38)
 r2=950546490842008147042688248625215333783327711118993319756406892329103327678906354661218607151 (pp93)
Version: GGNFS-0.77.1
Total time: 28.48 hours.
Scaled time: 22.33 units (timescale=0.784).
Factorization parameters were as follows:
n: 62825135896438488441436771449779334797836466675272274335222651757497832551376624905031688189002553707685874429427514139316517856981 
m: 1000000000000000000000000
c6: 7
c3: -54
c0: -70
skew: 1
type: snfs
qintsize: 2275000 
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Sieved special-q in [650000, 2925001)
Relations: rels:2876776, finalFF:253359
Initial matrix: 199830 x 253359 with sparse part having weight 28229248.
Pruned matrix : 192552 x 193615 with weight 17525880.
Total sieving time: 27.46 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 0.70 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,144,6,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 28.48 hours.
 --------- CPU info (if available) ----------

Sep 18, 2005

Wataru Sakai's 56 digits factor was placed on eighth of the largest factor found by ECM. Congratulations!

See Large Factors Found By ECM (Richard Brent).

Sep 14, 2005 (2nd)

By Wataru Sakai / GMP-ECM 6.0.1

3·10¹⁶⁶-1 = 2(9)₁₆₆_<167> = 47 · 71 · 2667289 · 10991159 · 627960539 · 2137781721901653563_<19> · C123

C123 = P56 · P68

P56 = 10345389693582740479529989859541374220406006881752101849_<56>

P68 = 22080500640751102476087504432625828948573909939464280318314247588489_<68>

Note: P56 is the second largest prime factor found by GMP-ECM in our tables. Congratulations!

Sep 14, 2005

By Kenichiro Yamaguchi / GGNFS-0.77.1

(10¹⁴³+45·10⁷¹-1)/9 = 11111111111111111111111111111111111111111111111111111111111111111111111611111111111111111111111111111111111111111111111111111111111111111111111_<143> = 31 · 3067 · C138

C138 = P56 · P82

P56 = 20200641684724245754250086231892578489308178227109512851_<56>

P82 = 5785179724796597502347433085972931672675889015378672672873247829853702152891246393_<82>

Number: 11611_71
N=116864342702347687780547462699823417978176752643763592783860566815434980185650694816949536808177699244939481800131589249882843496440896443
  ( 138 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=20200641684724245754250086231892578489308178227109512851 (pp56)
 r2=5785179724796597502347433085972931672675889015378672672873247829853702152891246393 (pp82)
Version: GGNFS-0.77.1
Total time: 25.50 hours.
Scaled time: 19.97 units (timescale=0.783).
Factorization parameters were as follows:
n: 116864342702347687780547462699823417978176752643763592783860566815434980185650694816949536808177699244939481800131589249882843496440896443 
m: 1000000000000000000000000
c6: 1
c3: 45
c0: -10
skew: 1
type: snfs
qintsize: 1000000 
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Sieved special-q in [650000, 2650001)
Relations: rels:3000030, finalFF:315372
Initial matrix: 200165 x 315372 with sparse part having weight 34901610.
Pruned matrix : 184321 x 185385 with weight 14536167.
Total sieving time: 24.68 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 0.54 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,144,6,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 25.50 hours.
 --------- CPU info (if available) ----------

Sep 13, 2005 (2nd)

By Kenichiro Yamaguchi / GGNFS-0.77.1

(7·10¹⁴¹-45·10⁷⁰-7)/9 = 777777777777777777777777777777777777777777777777777777777777777777777727777777777777777777777777777777777777777777777777777777777777777777777_<141> = 3089 · 8563 · 283909 · C129

C129 = P41 · P88

P41 = 58652798393860565815370026873212851538391_<41>

P88 = 1765809221960943255769182473012586637075182623140275690951647167662713926381035549130169_<88>

Number: 77277_70
N=103569652297694987953627625628198793313050449057259381408529923443451276790035858088726254060204366784359552640911552933559818079
  ( 129 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=58652798393860565815370026873212851538391 (pp41)
 r2=1765809221960943255769182473012586637075182623140275690951647167662713926381035549130169 (pp88)
Version: GGNFS-0.77.1
Total time: 56.05 hours.
Scaled time: 43.89 units (timescale=0.783).
Factorization parameters were as follows:
n: 103569652297694987953627625628198793313050449057259381408529923443451276790035858088726254060204366784359552640911552933559818079 
m: 100000000000000000000000000000000000
c4: 70 
c2: -45
c0: -7
skew: 1
type: snfs
qintsize: 1500000
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Sieved special-q in [650000, 6650001)
Relations: rels:3442872, finalFF:353628
Initial matrix: 200453 x 353628 with sparse part having weight 50737412.
Pruned matrix : 184335 x 185401 with weight 21626407.
Total sieving time: 55.03 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 0.79 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,141,4,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 56.05 hours.
 --------- CPU info (if available) ----------

Sep 13, 2005

By Wataru Sakai / GMP-ECM 6.0.1

3·10¹⁹⁰-1 = 2(9)₁₉₀_<191> = 97 · 29924824213_<11> · 7668447060104434870881489582121_<31> · 512358733922895524489343752888689_<33> · C115

C115 = P30 · P86

P30 = 247984694771318430568948981693_<30>

P86 = 10607461577425281731753905244766737614406396259890391295260540539167282031764330723127_<86>

Sep 8, 2005

By Kenichiro Yamaguchi / GGNFS-0.77.1

(10¹⁴⁵+27·10⁷²-1)/9 = 1111111111111111111111111111111111111111111111111111111111111111111111114111111111111111111111111111111111111111111111111111111111111111111111111_<145> = 89 · 113 · C141

C141 = P51 · P90

P51 = 231765555870207670623710560918298164819618843538357_<51>

P90 = 476694506664627985476181685621420487293201128856842553222172695669351321716815243796911539_<90>

Number: 11411_72
N=110481367317401920166163976445372487929910620573840221846585573343055693955564394064940947709168848673671185354589948405201462773303282401423
  ( 141 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=231765555870207670623710560918298164819618843538357 (pp51)
 r2=476694506664627985476181685621420487293201128856842553222172695669351321716815243796911539 (pp90)
Version: GGNFS-0.77.1
Total time: 219.73 hours.
Scaled time: 165.46 units (timescale=0.753).
Factorization parameters were as follows:
n: 110481367317401920166163976445372487929910620573840221846585573343055693955564394064940947709168848673671185354589948405201462773303282401423 
m: 1000000000000000000000000000000000000
c4: 10 
c2: 27
c0: -1
skew: 1
type: snfs
qintsize: 2000000
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Sieved special-q in [650000, 24650001)
Relations: rels:5746658, finalFF:225648
Initial matrix: 199560 x 225648 with sparse part having weight 36716766.
Pruned matrix : 196561 x 197622 with weight 30648658.
Total sieving time: 217.96 hours.
Total relation processing time: 0.50 hours.
Matrix solve time: 1.19 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,145,4,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 219.73 hours.
 --------- CPU info (if available) ----------

Sep 7, 2005

By Wataru Sakai / GMP-ECM 6.0.1

3·10¹⁵³-1 = 2(9)₁₅₃_<154> = 72019 · 1472927109551_<13> · 6437899768974245773_<19> · C118

C118 = P41 · P77

P41 = 45425367911692522245626027985214885364243_<41>

P77 = 96705293648696981037155654696825961344230797647139452351613239823428072265389_<77>

Sep 6, 2005

By Sinkiti Sibata / GGNFS-0.77.1

10¹⁴³-8·10⁷¹-1 = 99999999999999999999999999999999999999999999999999999999999999999999999199999999999999999999999999999999999999999999999999999999999999999999999_<143> = 939623 · 692765651 · C129

C129 = P40 · P89

P40 = 5545315714417291165686064725832927750643_<40>

P89 = 27703442430900092553537300647051906583048198294477171096908738767897374226177031471283041_<89>

Number: 99199_71
N=153624334655525044186691865819496479895855337929403934446979662530604532822145983919217173587198722294170547473315529189322745363
  ( 129 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=5545315714417291165686064725832927750643 (pp40)
 r2=27703442430900092553537300647051906583048198294477171096908738767897374226177031471283041 (pp89)
Version: GGNFS-0.77.1
Total time: 174.95 hours.
Scaled time: 116.52 units (timescale=0.666).
Factorization parameters were as follows:
name: 99199_71
n: 153624334655525044186691865819496479895855337929403934446979662530604532822145983919217173587198722294170547473315529189322745363
m: 1000000000000000000000000000000000000
c4: 1
c2: -8
c0: -10
skew: 2
type: snfs

Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Sieved special-q in [650000, 21650001)
Relations: rels:5428768, finalFF:224431
Initial matrix: 200191 x 224431 with sparse part having weight 36189694.
Pruned matrix : 197524 x 198588 with weight 30573016.
Total sieving time: 170.54 hours.
Total relation processing time: 1.72 hours.
Matrix solve time: 2.62 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,144,4,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 174.95 hours.
 --------- CPU info (if available) ----------

Sep 1, 2005

By Wataru Sakai / GMP-ECM 6.0.1

3·10¹⁷²-1 = 2(9)₁₇₂_<173>= C173

C173 = P35 · C138

P35 = 38122987748499595028686163894145203_<35>

C138 = [786926780186075758268741106446345233058414651262593009833784935602647827417065446546566009104898212188196236218414523309890529326286496133_<138>]

August 2005

Aug 31, 2005

By Wataru Sakai / GMP-ECM 6.0.1, Msieve 1.01

3·10¹⁷³-1 = 2(9)₁₇₃_<174> = 7 · 107 · 157 · 3013176114760906824959_<22> · 3438554741560059188437_<22> · C126

C126 = P38 · P40 · P49

P38 = 30644010457996651884427900089832310981_<38>

P40 = 1965123061305630337817335362597030221689_<40>

P49 = 4088876295547466384808084321913583821345407444169_<49>

Aug 26, 2005

By Sinkiti Sibata / GGNFS-0.77.1

(10¹⁴³+72·10⁷¹-1)/9 = 11111111111111111111111111111111111111111111111111111111111111111111111911111111111111111111111111111111111111111111111111111111111111111111111_<143> = 7 · 277 · 727 · 279778297 · C128

C128 = P62 · P66

P62 = 72273103620858305018095324741944225768771546360367998482307077_<62>

P66 = 389811406670462912882304861142771874917257621758577152758207354823_<66>

Number: 11911_71
N=28172880186886902382565907756058819960301220351512976216723917393317410772426832760524239874187807805214575110233631418582982371
  ( 128 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=72273103620858305018095324741944225768771546360367998482307077 (pp62)
 r2=389811406670462912882304861142771874917257621758577152758207354823 (pp66)
Version: GGNFS-0.77.1
Total time: 101.15 hours.
Scaled time: 60.49 units (timescale=0.598).
Factorization parameters were as follows:
name: 11911_71
n: 28172880186886902382565907756058819960301220351512976216723917393317410772426832760524239874187807805214575110233631418582982371
m: 1000000000000000000000000000000000000
c4: 1
c2: 72
c0: -10
skew: 2
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Sieved special-q in [650000, 10950001)
Relations: rels:3887908, finalFF:225098
Initial matrix: 200057 x 225098 with sparse part having weight 33768894.
Pruned matrix : 196511 x 197575 with weight 28081749.
Total sieving time: 97.82 hours.
Total relation processing time: 0.84 hours.
Matrix solve time: 2.41 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,144,4,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 101.15 hours.
 --------- CPU info (if available) ----------

Aug 19, 2005

By Sinkiti Sibata / GGNFS-0.77.1

(10¹⁴¹-6·10⁷⁰-1)/3 = 333333333333333333333333333333333333333333333333333333333333333333333313333333333333333333333333333333333333333333333333333333333333333333333_<141> = 5679008497_<10> · C131

C131 = P38 · P94

P38 = 22054166497043884847287870515417562787_<38>

P94 = 2661433247090910549892098768566601079816496655240836213664857059852920403942119789232108468247_<94>

Number: 33133_70
N=5869569195211107875426961759189868902450654905814157180919134894073628524337341440208331727969473635625259979837873683909251832438
9
  ( 131 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=22054166497043884847287870515417562787 (pp38)
 r2=2661433247090910549892098768566601079816496655240836213664857059852920403942119789232108468247 (pp94)
Version: GGNFS-0.77.1
Total time: 45.73 hours.
Scaled time: 27.30 units (timescale=0.597).
Factorization parameters were as follows:
name: 33133_70
n:
58695691952111078754269617591898689024506549058141571809191348940736285243373414402083317279694736356252599798378736839092518324389
m: 100000000000000000000000000000000000
c4: 10
c2: -6
c0: -1
skew: 2
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Sieved special-q in [650000, 5450001)
Relations: rels:3031774, finalFF:224692
Initial matrix: 199975 x 224692 with sparse part having weight 30681510.
Pruned matrix : 196584 x 197647 with weight 25191896.
Total sieving time: 43.36 hours.
Total relation processing time: 0.33 hours.
Matrix solve time: 1.97 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,141,4,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 45.73 hours.
 --------- CPU info (if available) ----------

Aug 17, 2005

By Sinkiti Sibata / GGNFS-0.77.1 gnfs

10¹⁴⁷-8·10⁷³-1 = 999999999999999999999999999999999999999999999999999999999999999999999999919999999999999999999999999999999999999999999999999999999999999999999999999_<147> = 268621621 · 1246336831459_<13> · 3257510230715911_<16> · C111

C111 = P43 · P69

P43 = 6918532079648681928624227305677184757812901_<43>

P69 = 132532947820656116347673308311597774490809937550021677979979509663531_<69>

Number: 99199_73
N=916933451107614207977491393274790653521017522562624288275315249667852377151353868032210260082035715381961013431
  ( 111 digits)
Divisors found:
 r1=6918532079648681928624227305677184757812901 (pp43)
 r2=132532947820656116347673308311597774490809937550021677979979509663531 (pp69)
Version: GGNFS-0.77.1
Total time: 46.39 hours.
Scaled time: 30.90 units (timescale=0.666).
Factorization parameters were as follows:
name: 99199_73
n: 916933451107614207977491393274790653521017522562624288275315249667852377151353868032210260082035715381961013431
skew: 92018.84
# norm 2.29e+15
c5: 2580
c4: -164595030
c3: -93487085999328
c2: 891120778083026509
c1: 250431877736007509209512
c0: -2277452151238083520167368440
# alpha -5.69
Y1: 2577594437
Y0: -3237006910593019894047
# Murphy_E 8.15e-10
# M 755602497340319720753600300174863421702075262789471555617565943466725266074363016624019553016563101108387204505
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [1600000, 2500001)
Relations: rels:7840940, finalFF:767722
Initial matrix: 460794 x 767722 with sparse part having weight 68953522.
Pruned matrix : 350229 x 352596 with weight 20384629.
Total sieving time: 41.69 hours.
Total relation processing time: 0.60 hours.
Matrix solve time: 3.69 hours.
Time per square root: 0.42 hours.
Prototype def-par.txt line would be:
gnfs,110,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 46.39 hours.
 --------- CPU info (if available) ----------

Aug 15, 2005

By Sinkiti Sibata / GGNFS-0.77.1 gnfs

(7·10¹⁴⁵-18·10⁷²-7)/9 = 7777777777777777777777777777777777777777777777777777777777777777777777775777777777777777777777777777777777777777777777777777777777777777777777777_<145> = 31337 · 10207927 · 4373145025202319447727_<22> · C112

C112 = P35 · P77

P35 = 92866052707040947788116402231861249_<35>

P77 = 59870059706292377489750144616722782975145763789830724139519840298455819562801_<77>

Number: 77577_72
N=5559896120258236414034846893348395205002429377172857370701234440446468916392707974193072114223436257151673798449
  ( 112 digits)
Divisors found:
 r1=92866052707040947788116402231861249 (pp35)
 r2=59870059706292377489750144616722782975145763789830724139519840298455819562801 (pp77)
Version: GGNFS-0.77.1
Total time: 53.43 hours.
Scaled time: 35.59 units (timescale=0.666).
Factorization parameters were as follows:
name: 77577_72
n: 5559896120258236414034846893348395205002429377172857370701234440446468916392707974193072114223436257151673798449
skew: 57568.01
# norm 9.18e+15
c5: 12360
c4: 4125169214
c3: -83810437096847
c2: -2565486382885458031
c1: 175872415273834200941691
c0: -3283473328532952956915197019
# alpha -6.18
Y1: 424712788957
Y0: -3393173080646087123664
# Murphy_E 6.70e-10
# M 5048155764753586441569837315618718831685323041662770967849248395447341958506427926356149893035522071106858837755
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [1750000, 2750001)
Relations: rels:7252580, finalFF:581163
Initial matrix: 499706 x 581163 with sparse part having weight 46847319.
Pruned matrix : 462887 x 465449 with weight 28851319.
Total sieving time: 45.39 hours.
Total relation processing time: 0.61 hours.
Matrix solve time: 6.92 hours.
Time per square root: 0.52 hours.
Prototype def-par.txt line would be:
gnfs,111,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 53.43 hours.
 --------- CPU info (if available) ----------

Aug 13, 2005

By Sinkiti Sibata / GGNFS-0.77.1

10¹⁵¹-4·10⁷⁵-1 = 9999999999999999999999999999999999999999999999999999999999999999999999999995999999999999999999999999999999999999999999999999999999999999999999999999999_<151> = 13 · 1399 · 16302156079139241779389_<23> · C125

C125 = P45 · P81

P45 = 140684559337675769430249526788079461538589821_<45>

P81 = 239743837024742116073004013726167157177219146951323324165616082687053255604169333_<81>

Number: 99599_75
N=33728256065749401321947519978188403445131969827166842882306756094510580657741804858054977739871277830956367256686320914159393
  ( 125 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=140684559337675769430249526788079461538589821 (pp45)
 r2=239743837024742116073004013726167157177219146951323324165616082687053255604169333 (pp81)
Version: GGNFS-0.77.1
Total time: 96.94 hours.
Scaled time: 57.87 units (timescale=0.597).
Factorization parameters were as follows:
name: 99599_75
n: 33728256065749401321947519978188403445131969827166842882306756094510580657741804858054977739871277830956367256686320914159393
m: 100000000000000000000000000000000000000
c4: 1
c2: -4
c0: -10
skew: 2
type: snfs

Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [1200000, 
)
Relations: rels:5108890, finalFF:395238
Initial matrix: 352394 x 395238 with sparse part having weight 44599917.
Pruned matrix : 345737 x 347562 with weight 34987824.
Total sieving time: 89.92 hours.
Total relation processing time: 0.55 hours.
Matrix solve time: 6.37 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,152,4,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 96.94 hours.
 --------- CPU info (if available) ----------

Aug 9, 2005

By Kenichiro Yamaguchi / GGNFS-0.77.1

10¹³⁹-8·10⁶⁹-1 = 9999999999999999999999999999999999999999999999999999999999999999999991999999999999999999999999999999999999999999999999999999999999999999999_<139> = 163 · 1062432269_<10> · C128

C128 = P48 · P81

P48 = 302855476516074177647629415714756028303921414367_<48>

P81 = 190667078116784852082971325091397033054587376040953643790001855636676885107219351_<81>

Number: 99199_69
N=57744568798986415510773932976505073180299887158946907306679422930356375851224384106461875755450059382111512647059891598431815817
  ( 128 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=302855476516074177647629415714756028303921414367 (pp48)
 r2=190667078116784852082971325091397033054587376040953643790001855636676885107219351 (pp81)
Version: GGNFS-0.77.1
Total time: 208.65 hours.
Scaled time: 163.79 units (timescale=0.785).
Factorization parameters were as follows:
n: 57744568798986415510773932976505073180299887158946907306679422930356375851224384106461875755450059382111512647059891598431815817 
m: 100000000000000000000000000000000000
c4: 1 
c2: -8
c0: -10
skew: 1
type: snfs
qintsize: 1500000
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 28900001)
Relations: rels:3968017, finalFF:182233
Initial matrix: 142444 x 182233 with sparse part having weight 29662836.
Pruned matrix : 140031 x 140807 with weight 20887958.
Total sieving time: 207.86 hours.
Total relation processing time: 0.29 hours.
Matrix solve time: 0.44 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,140,4,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 208.65 hours.
 --------- CPU info (if available) ----------

Aug 8, 2005

By Sinkiti Sibata / GGNFS-0.77.1

10¹³⁹-4·10⁶⁹-1 = 9999999999999999999999999999999999999999999999999999999999999999999995999999999999999999999999999999999999999999999999999999999999999999999_<139> = 13 · 3371 · 4459361 · C128

C128 = P34 · P94

P34 = 9093166788015632376354737529539617_<34>

P94 = 5627430068621602347797796257575031305382650518686424260015430403586239623261886314643346512049_<94>

Number: 99599_69
N=51171160201870485513080405198795010591453381095677096444927440835929973402710848191919926612329176065107845063847929701713345233
  ( 128 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=9093166788015632376354737529539617 (pp34)
 r2=5627430068621602347797796257575031305382650518686424260015430403586239623261886314643346512049 (pp94)
Version: GGNFS-0.77.1
Total time: 72.45 hours.
Scaled time: 43.32 units (timescale=0.598).
Factorization parameters were as follows:
name: 99599_69
n: 51171160201870485513080405198795010591453381095677096444927440835929973402710848191919926612329176065107845063847929701713345233
m: 100000000000000000000000000000000000
c4: 1
c2: -4
c0: -10
skew: 2
type: snfs

Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 9475001)
Relations: rels:2395349, finalFF:162523
Initial matrix: 142408 x 162523 with sparse part having weight 23836958.
Pruned matrix : 140648 x 141424 with weight 19421252.
Total sieving time: 70.56 hours.
Total relation processing time: 0.89 hours.
Matrix solve time: 0.94 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,140,4,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 72.45 hours.
 --------- CPU info (if available) ----------

Aug 5, 2005

By Sinkiti Sibata / GGNFS-0.77.1 gnfs

10¹⁴¹-4·10⁷⁰-1 = 999999999999999999999999999999999999999999999999999999999999999999999959999999999999999999999999999999999999999999999999999999999999999999999_<141> = 166609 · 168892705626840317_<18> · C119

C119 = P38 · P81

P38 = 69601747779002689794628246744089845171_<38>

P81 = 510587882640423485418476391438744702348606597088037480834827701746902682358566873_<81>

Number: 99599_70
N=35537809026553781358388852153474695439648624939407069519743470077963216916534262677747826085919217510685375636019620283
  ( 119 digits)
Divisors found:
 r1=69601747779002689794628246744089845171 (pp38)
 r2=510587882640423485418476391438744702348606597088037480834827701746902682358566873 (pp81)
Version: GGNFS-0.77.1
Total time: 161.09 hours.
Scaled time: 96.01 units (timescale=0.596).
Factorization parameters were as follows:
name: 99599_70
n: 35537809026553781358388852153474695439648624939407069519743470077963216916534262677747826085919217510685375636019620283
skew: 189526.16
# norm 6.13e+16
c5: 1920
c4: 1859260232
c3: 940958798448133
c2: -45971932498535203527
c1: -9004151374362697326116263
c0: 77743814714520445390033373470
# alpha -5.98
Y1: 1364027900503
Y0: -113103714933809449396359
# Murphy_E 2.87e-10
# M 12071100189367619106537480873581774950505039136236748682596382857408903799569354795385588773392413321309616487608958455
type: gnfs
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 60000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [2250000, 5610001)
Relations: rels:8011734, finalFF:732220
Initial matrix: 631506 x 732220 with sparse part having weight 74395567.
Pruned matrix : 593341 x 596562 with weight 50427406.
Total sieving time: 142.27 hours.
Total relation processing time: 1.46 hours.
Matrix solve time: 16.55 hours.
Time per square root: 0.80 hours.
Prototype def-par.txt line would be:
gnfs,118,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,27,27,50,50,2.4,2.4,60000
total time: 161.09 hours.
 --------- CPU info (if available) ----------

July 2005

Jul 30, 2005

By Wataru Sakai / GMP-ECM 6.0.1

3·10¹⁸⁶-1 = 2(9)₁₈₆_<187> = 1000926126622857454738657_<25> · 5038740629385387262999058978219_<31> · C132

C132 = P30 · P103

P30 = 169578631674993232722608070359_<30>

P103 = 3507729531114303162480919388024654186192017726789378826407554907313223454226891369837005953138455530667_<103>

Jul 30, 2005

By Kenichiro Yamaguchi / GGNFS-0.77.1

(7·10¹³⁹-18·10⁶⁹-7)/9 = 7777777777777777777777777777777777777777777777777777777777777777777775777777777777777777777777777777777777777777777777777777777777777777777_<139> = 107 · 9592227941_<10> · C127

C127 = P50 · P78

P50 = 29507116701653644529662901060986428986529525108467_<50>

P78 = 256818016930257453229026060731674332126048439991708092787438809811276850360013_<78>

Number: 77577_69
N=7577959196648368142289258349347952581746683504023822980886262846418308000216869677607333548989045910320123116523470011824530071
  ( 127 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=29507116701653644529662901060986428986529525108467 (pp50)
 r2=256818016930257453229026060731674332126048439991708092787438809811276850360013 (pp78)
Version: GGNFS-0.77.1
Total time: 92.73 hours.
Scaled time: 72.70 units (timescale=0.784).
Factorization parameters were as follows:
n: 7577959196648368142289258349347952581746683504023822980886262846418308000216869677607333548989045910320123116523470011824530071
m: 100000000000000000000000000000000000
c4: 7 
c2: -18
c0: -70
skew: 1
type: snfs
qintsize: 1500000
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Sieved special-q in [650000, 11150001)
Relations: rels:4171683, finalFF:254395
Initial matrix: 199731 x 254395 with sparse part having weight 39370616.
Pruned matrix : 194294 x 195356 with weight 27320206.
Total sieving time: 91.38 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 1.06 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,140,4,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 92.73 hours.
 --------- CPU info (if available) ----------

Jul 29, 2005

By Sinkiti Sibata / GGNFS-0.77.1 gnfs

10¹⁴⁷-7·10⁷³-1 = 999999999999999999999999999999999999999999999999999999999999999999999999929999999999999999999999999999999999999999999999999999999999999999999999999_<147> = 1523 · 33359 · 163141831126890373902190714753_<30> · C111

C111 = P37 · P74

P37 = 6771196048922895791023493473450472633_<37>

P74 = 17817893241367170326405819488787733173549447168880253186019589405975907843_<74>

Number: 99299_73
N=120648448316075352508465667748310321521825875484704823624632616876735833966375958575301853071848881879601560619
  ( 111 digits)
Divisors found:
 r1=6771196048922895791023493473450472633 (pp37)
 r2=17817893241367170326405819488787733173549447168880253186019589405975907843 (pp74)
Version: GGNFS-0.77.1
Total time: 50.84 hours.
Scaled time: 30.30 units (timescale=0.596).
Factorization parameters were as follows:
name: 99299_73
n: 120648448316075352508465667748310321521825875484704823624632616876735833966375958575301853071848881879601560619
skew: 68786.20
# norm 5.53e+15
c5: 540
c4: -144692729
c3: 144683750682965
c2: -315598007552356899
c1: -117835315053291737704530
c0: 576691279009697362689399375
# alpha -5.75
Y1: 25102374517
Y0: -2950025664308419358918
# Murphy_E 7.98e-10
# M 41342611917903131408145342621498957256392081985933491949904044448483573025062860196910456489936128726693837630
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [1600000, 2600001)
Relations: rels:7540133, finalFF:630849
Initial matrix: 460865 x 630849 with sparse part having weight 54947476.
Pruned matrix : 398156 x 400524 with weight 23631619.
Total sieving time: 44.42 hours.
Total relation processing time: 0.60 hours.
Matrix solve time: 5.36 hours.
Time per square root: 0.46 hours.
Prototype def-par.txt line would be:
gnfs,110,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 50.84 hours.
 --------- CPU info (if available) ----------

Jul 28, 2005

By Samuel Chong / GMP-ECM 6.0.1

(4·10¹⁵⁶-7)/3 = 1(3)₁₅₅1_<157> = 139 · 24919 · 252324847 · C142

C142 = P36 · P106

P36 = 436423983918762045596465851491938171_<36>

P106 = 3495623885562373118078106033211400844430238147690721820383657027903206171888118531038163898577322216417043_<106>

Jul 26, 2005

By Sinkiti Sibata / GGNFS-0.77.1

10¹⁵¹-2·10⁷⁵-1 = 9999999999999999999999999999999999999999999999999999999999999999999999999997999999999999999999999999999999999999999999999999999999999999999999999999999_<151> = 11 · 26293 · C146

C146 = P44 · P102

P44 = 58045103092320579472867801802574971275755973_<44>

P102 = 595664319591700023546971601179237285279082212336048740598250401382315669912840159022722808886547371381_<102>

Number: 99799_75
N=3457539683911722096790365911424748377549503324424406081120796063936823834894873505910664089647088924463130525580607351420875933103
5221956760008713
  ( 146 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=58045103092320579472867801802574971275755973 (pp44)
 r2=595664319591700023546971601179237285279082212336048740598250401382315669912840159022722808886547371381 (pp102)
Version: GGNFS-0.77.1
Total time: 121.32 hours.
Scaled time: 80.68 units (timescale=0.665).
Factorization parameters were as follows:
name: 99799_75
n:
345753968391172209679036591142474837754950332442440608112079606393682383489487350591066408964708892446313052558060735142087593310352
21956760008713
m: 100000000000000000000000000000000000000
c4: 1
c2: -2
c0: -10
skew: 2
type: snfsFactor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [1200000, 4800001)
Relations: rels:5437942, finalFF:397574
Initial matrix: 352076 x 397574 with sparse part having weight 50831921.
Pruned matrix : 345772 x 347596 with weight 40312253.
Total sieving time: 113.68 hours.
Total relation processing time: 0.53 hours.
Matrix solve time: 7.01 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,152,4,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 121.32 hours.
 --------- CPU info (if available) ----------

Jul 24, 2005

By Kenichiro Yamaguchi / GGNFS-0.77.1

(7·10¹³⁹-45·10⁶⁹-7)/9 = 7777777777777777777777777777777777777777777777777777777777777777777772777777777777777777777777777777777777777777777777777777777777777777777_<139> = 53 · 761 · C135

C135 = P38 · P97

P38 = 31370267024602331790139632007760286403_<38>

P97 = 6147192152516161778791945160290758775994299914230005225313499885002983578636522012827875264702823_<97>

Number: 77277_69
N=192839059275971977729843497329179029027788108441667561990870447965134574114937589015887183640636148508114392129962506577189343162615669
  ( 135 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=31370267024602331790139632007760286403 (pp38)
 r2=6147192152516161778791945160290758775994299914230005225313499885002983578636522012827875264702823 (pp97)
Version: GGNFS-0.77.1
Total time: 55.35 hours.
Scaled time: 43.45 units (timescale=0.785).
Factorization parameters were as follows:
n: 192839059275971977729843497329179029027788108441667561990870447965134574114937589015887183640636148508114392129962506577189343162615669 
m: 100000000000000000000000000000000000
c4: 7 
c2: -45
c0: -70
skew: 1
type: snfs
qintsize: 1500000
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Sieved special-q in [650000, 6650001)
Relations: rels:3418067, finalFF:350126
Initial matrix: 200408 x 350126 with sparse part having weight 50275219.
Pruned matrix : 184489 x 185555 with weight 21546300.
Total sieving time: 54.36 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 0.77 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,140,4,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 55.35 hours.
 --------- CPU info (if available) ----------

Jul 23, 2005

By Sinkiti Sibata / GGNFS-0.77.1 gnfs

2·10¹⁷¹-1 = 1(9)₁₇₁_<172> = 6569 · 568471 · 1534359796328829895031_<22> · 5602144536868763044479389_<25> · C116

C116 = P49 · P68

P49 = 4966249304875500322389200136777001930696447359469_<49>

P68 = 12546205073768228751789097590163050732197922850972414927607422229231_<68>

Number: 19999_171
N=62307582226426941282730497418239251189478704230641873240737131725763565707384336402366220505143817417223703576438339
  ( 116 digits)
Divisors found:
 r1=4966249304875500322389200136777001930696447359469 (pp49)
 r2=12546205073768228751789097590163050732197922850972414927607422229231 (pp68)
Version: GGNFS-0.77.1
Total time: 79.11 hours.
Scaled time: 52.61 units (timescale=0.665).
Factorization parameters were as follows:
name: 19999_171
n: 62307582226426941282730497418239251189478704230641873240737131725763565707384336402366220505143817417223703576438339
skew: 70354.31
# norm 9.98e+15
c5: 38640
c4: 1313355052
c3: -485208951307114
c2: -3328343126631723698
c1: 1184501065996951583035211
c0: 1182890042528989462722002970
# alpha -6.01
Y1: 3292182191399
Y0: -17438141564269073661799
# Murphy_E 4.65e-10
# M 36587589753890054593003890281994435471974230965745336332136226976327519198887792848608176262548012425841009218266819
type: gnfs
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 60000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [2250000, 3750001)
Relations: rels:7479223, finalFF:723613
Initial matrix: 631644 x 723613 with sparse part having weight 56162146.
Pruned matrix : 586230 x 589452 with weight 35466708.
Total sieving time: 66.72 hours.
Total relation processing time: 0.90 hours.
Matrix solve time: 10.85 hours.
Time per square root: 0.64 hours.
Prototype def-par.txt line would be:
gnfs,115,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,27,27,50,50,2.4,2.4,60000
total time: 79.11 hours.
 --------- CPU info (if available) ----------

Jul 22, 2005 (3rd)

By Kenichiro Yamaguchi / GGNFS-0.77.1

(10¹³⁹+72·10⁶⁹-1)/9 = 1111111111111111111111111111111111111111111111111111111111111111111119111111111111111111111111111111111111111111111111111111111111111111111_<139> = 3 · 7 · 23 · 1733 · 19559 · C128

C128 = P55 · P74

P55 = 2102636820980948431411101834133362573625938170634857087_<55>

P74 = 32277573963617792933707000434735378858759799425351836764860151133226259153_<74>

Number: 11911_69
N=67868015507838747378914853125651927919516752750147719318540558200482113588765095169744389164671930658702571029994341807780667311
  ( 128 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=2102636820980948431411101834133362573625938170634857087 (pp55)
 r2=32277573963617792933707000434735378858759799425351836764860151133226259153 (pp74)
Version: GGNFS-0.77.1
Total time: 85.37 hours.
Scaled time: 67.01 units (timescale=0.785).
Factorization parameters were as follows:
n: 67868015507838747378914853125651927919516752750147719318540558200482113588765095169744389164671930658702571029994341807780667311 
m: 100000000000000000000000000000000000
c4: 1
c2: 72
c0: -10
skew: 1
type: snfs
qintsize: 10802000
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 11202001)
Relations: rels:2528812, finalFF:160615
Initial matrix: 142042 x 160615 with sparse part having weight 23462234.
Pruned matrix : 140515 x 141289 with weight 19416061.
Total sieving time: 84.75 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 0.42 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,140,4,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 85.37 hours.
 --------- CPU info (if available) ----------

Jul 22, 2005 (2nd)

Jason Papadopoulos's SIQS implementation msieve 1.01 was released.

Quadratic Sieve Source Code (Jason Papadopoulos)

Jul 22, 2005

By Wataru Sakai / GMP-ECM 6.0.1

(28·10¹⁶⁵-1)/9 = 3(1)₁₆₅_<166> = 3 · 1997 · 41029853253616558862159_<23> · C140

C140 = P34 · C106

P34 = 1479931381061176239842955946643233_<34>

C106 = [8552137197062135452946734939039401000390352520643770708997187105215087703113602922115601036755747663312943_<106>]

3·10¹⁸³-1 = 2(9)₁₈₃_<184> = 757 · 705259 · C175

C175 = P26 · P149

P26 = 94685971491169408238495197_<26>

P149 = 59345951695499727131645089060192058135909213873136735226382733194452511684809704681156559640467203767085254024562482893630526915384657525961066917309_<149>

Jul 21, 2005 (2nd)

By Patrick Keller / GGNFS-0.77.1-050714

(31·10¹⁵⁴-13)/9 = 3(4)₁₅₃3_<155> = 3 · 19 · 1231 · 10318115811615833350849_<23> · 26353110139075738702819279411_<29> · C100

C100 = P35 · P66

P35 = 12023093835959132067018090663212227_<35>

P66 = 150154296621491793394346450363895517375583748113591057346186864293_<66>

Jul 21, 2005

By Patrick Keller / msieve

(55·10¹⁶⁹-1)/9 = 6(1)₁₆₉_<170> = 1267789 · 417120271237_<12> · 3193089992685293_<16> · 23746197743073512431_<20> · 11655965793025266695761_<23> · C96

C96 = P35 · P61

P35 = 82969538107201187912861308387895899_<35>

P61 = 1575940183105005638700269656685989140264638789120620298877671_<61>

Jul 20, 2005

By Sinkiti Sibata / GGNFS-0.77.1 gnfs

(7·10¹⁸²-43)/9 = (7)₁₈₁3_<182> = 811 · 9803 · 43541 · 964128448187225411_<18> · 63518786855336021873_<20> · 6317515667788841649784757_<25> · C108

C108 = P52 · P57

P52 = 4075754667318562343182746279281284062224460215903653_<52>

P57 = 142490470262200698619444326172501867664906279915719834307_<57>

Number: 77773_182
N=580756199219581309176798751506149414432555926561180701540672917837877847873829728066568125486993571436023471
  ( 108 digits)
Divisors found:
 r1=4075754667318562343182746279281284062224460215903653 (pp52)
 r2=142490470262200698619444326172501867664906279915719834307 (pp57)
Version: GGNFS-0.77.1
Total time: 25.80 hours.
Scaled time: 15.38 units (timescale=0.596).
Factorization parameters were as follows:
name: 77773_182
n: 580756199219581309176798751506149414432555926561180701540672917837877847873829728066568125486993571436023471
skew: 37739.91
# norm 1.93e+15
c5: 7380
c4: 1656265443
c3: -45444609960584
c2: -510192825638705008
c1: 40308296871262418615274
c0: -240458323485339314699172120
# alpha -6.37
Y1: 42407195303
Y0: -601431435567597392371
# Murphy_E 1.18e-09
# M 270318479892486145518999499963405043139584006942110790385476246090737366897252067273220988440866932939604189
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Sieved special-q in [1250000, 2600001)
Relations: rels:4657789, finalFF:475385
Initial matrix: 365521 x 475385 with sparse part having weight 39940865.
Pruned matrix : 328652 x 330543 with weight 19349984.
Polynomial selection time: 0.50 hours.
Total sieving time: 21.53 hours.
Total relation processing time: 0.39 hours.
Matrix solve time: 3.04 hours.
Time per square root: 0.34 hours.
Prototype def-par.txt line would be:
gnfs,107,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 25.80 hours.
 --------- CPU info (if available) ----------

Jul 19, 2005 (3rd)

By Samuel Chong / GMP-ECM 6.0.1, GGNFS-0.77.1-050706, GGNFS-0.77.1

(4·10¹⁵¹-7)/3 = 1(3)₁₅₀1_<152> = 11 · C151

C151 = P34 · P117

P34 = 2654556875419822081359149595230891_<34>

P117 = 456619040015676200361886468778998703135419004800522660645707221302698105894404427756432042889553089487767871029499531_<117>

(4·10¹⁵²-7)/3 = 1(3)₁₅₁1_<153> = 4710903416984659_<16> · C137

C137 = P33 · P104

P33 = 284380384951060053674387900671561_<33>

P104 = 99525621536122188377243271405135370562885542102702768696714945192631799716649369603171814530522932702969_<104>

(4·10¹⁵³-7)/3 = 1(3)₁₅₂1_<154> = 11 · 53 · 2530547 · 83672528054113_<14> · 54946641131623793491_<20> · C111

C111 = P37 · P74

P37 = 7443975329698353653369348809552558177_<37>

P74 = 26407470826627688333874212135138982379401990967198526622236551592059175341_<74>

(64·10¹⁵¹-1)/9 = 7(1)₁₅₁_<152> = 293 · 45025957 · 726274511 · 1305759391_<10> · C124

C124 = P45 · P80

P45 = 168926696146768039588385780025811918524845557_<45>

P80 = 33646867900134114396506115605045020905798675373641624350409023079910457482818323_<80>

Number: 71111_151
N=5683854230056398741879882474777030568379236876305051951381289709413124448281187852368728736937435648737392529868114664740911
  ( 124 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=168926696146768039588385780025811918524845557 (pp45)
 r2=33646867900134114396506115605045020905798675373641624350409023079910457482818323 (pp80)
Version: GGNFS-0.77.1-050706
Total time: 26.68 hours.
Scaled time: 29.14 units (timescale=1.092).
Factorization parameters were as follows:
name: 71111_151
n: 5683854230056398741879882474777030568379236876305051951381289709413124448281187852368728736937435648737392529868114664740911
m: 2000000000000000000000000000000
c5: 20
c0: -1
type: snfs
skew: 0.9
lss: 1
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 50000
# q0: 3000000
# qintsize: 1000
# total yield: 10652, 0.00956 sec/rel
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1200000, 1850001)
Primes: RFBsize:176302, AFBsize:175838, largePrimes:8141148 encountered
Relations: rels:8678748, finalFF:727638
Max relations in full relation-set: 20
Initial matrix: 352206 x 727638 with sparse part having weight 66095382.
Pruned matrix : 239046 x 240871 with weight 27394237.
Total sieving time: 23.87 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 2.42 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,152,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,50,50,2.4,2.4,100000
total time: 26.68 hours.
 --------- CPU info (if available) ----------
dual Athlon MP 2600+ (2.0GHz Bartons), 3GB RAM
total actual time: 16h04m13.062s

(14·10¹⁶⁷-41)/9 = 1(5)₁₆₆1_<168> = 11 · C167

C167 = P70 · P97

P70 = 1551762673453065953013392460694176562588480360498237956375794389510177_<70>

P97 = 9113129464537192620276698738976018093378747212696395351751862940975801863458685343597372761347933_<97>

Number: 15551_167
N=14141414141414141414141414141414141414141414141414141414141414141414141414141414141414141414141414141414141414141414141414141414141414141414141414141414141414141414141
  ( 167 digits)
SNFS difficulty: 168 digits.
Divisors found:
 r1=1551762673453065953013392460694176562588480360498237956375794389510177 (pp70)
 r2=9113129464537192620276698738976018093378747212696395351751862940975801863458685343597372761347933 (pp97)
Version: GGNFS-0.77.1
Total time: 97.14 hours.
Scaled time: 106.07 units (timescale=1.092).
Factorization parameters were as follows:
name: 15551_167
n: 14141414141414141414141414141414141414141414141414141414141414141414141414141414141414141414141414141414141414141414141414141414141414141414141414141414141414141414141
deg: 5
m: 1000000000000000000000000000000000
c5: 1400
c0: -41
skew: 0.75
type: snfs
lss: 1
rlim: 5500000
alim: 5500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.6
alambda: 2.6
# q0: 8000000
# qintsize: 1000
# total yield: 5585, 0.02661 sec/rel
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2750000, 4650001)
Primes: RFBsize:380800, AFBsize:379898, largePrimes:10060309 encountered
Relations: rels:10612927, finalFF:857796
Max relations in full relation-set: 20
Initial matrix: 760765 x 857796 with sparse part having weight 65863381.
Pruned matrix : 725154 x 729021 with weight 48141392.
Total sieving time: 79.66 hours.
Total relation processing time: 0.39 hours.
Matrix solve time: 16.77 hours.
Time per square root: 0.33 hours.
Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,52,52,2.6,2.6,100000
total time: 97.14 hours.
 --------- CPU info (if available) ----------
dual Athlon MP 2600+ (2.0GHz Bartons), 3GB RAM
total actual time: 57h10m9.750s

Jul 19, 2005 (2nd)

By Sinkiti Sibata / GGNFS-0.77.1 gnfs

(4·10¹⁵⁵-31)/9 = (4)₁₅₄1_<155> = 4969 · 1161384764379587557_<19> · 782494652727784355839_<21> · C112

C112 = P53

P53 = 32446837159203339193884150697151992926501317981434793_<53>

P60 = 303332268525905712949350851846704001699989866755046360134251_<60>

Number: 44441_155
N=9842172721991802980016493108579024883977588247997182207655686748197703648161747117498644119268354472329082395043
  ( 112 digits)
Divisors found:
 r1=32446837159203339193884150697151992926501317981434793 (pp53)
 r2=303332268525905712949350851846704001699989866755046360134251 (pp60)
Version: GGNFS-0.77.1
Total time: 57.17 hours.
Scaled time: 34.19 units (timescale=0.598).
Factorization parameters were as follows:
name: 44441_155
n: 9842172721991802980016493108579024883977588247997182207655686748197703648161747117498644119268354472329082395043
skew: 49671.47
# norm 8.35e+15
c5: 12960
c4: 4476295394
c3: -299143304227205
c2: -8043965794808848098
c1: 220316302410226109388396
c0: 804656506548070477807120440
# alpha -6.26
Y1: 250338497129
Y0: -3767863863528840852709
# Murphy_E 6.93e-10
# M 7565174254746187767176314659151201359252327605151860423427946056328323373590570349809585549819597165985588730847
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [1750000, 2850001)
Relations: rels:7724215, finalFF:718164
Initial matrix: 500042 x 718164 with sparse part having weight 63219417.
Pruned matrix : 416794 x 419358 with weight 24674328.
Polynomial selection time: 0.52 hours.
Total sieving time: 49.85 hours.
Total relation processing time: 0.61 hours.
Matrix solve time: 5.70 hours.
Time per square root: 0.49 hours.
Prototype def-par.txt line would be:
gnfs,111,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 57.17 hours.
 --------- CPU info (if available) ----------

Jul 19, 2005

By Kenichiro Yamaguchi / GGNFS-0.77.1

(10¹³⁹+54·10⁶⁹-1)/9 = 1111111111111111111111111111111111111111111111111111111111111111111117111111111111111111111111111111111111111111111111111111111111111111111_<139> = 3361 · C135

C135 = P62 · P73

P62 = 52070496553369761790102847965951773055481163109715236258179551_<62>

P73 = 6348882051363135965307216999905078239101419073148489032611069392180478201_<73>

Number: 11711_69
N=330589440973255314225263645079176171113094647756950642996462692981587953320770934576349631392773314820324638831035736718569208899467751
  ( 135 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=52070496553369761790102847965951773055481163109715236258179551 (pp62)
 r2=6348882051363135965307216999905078239101419073148489032611069392180478201 (pp73)
Version: GGNFS-0.77.1
Total time: 95.27 hours.
Scaled time: 74.79 units (timescale=0.785).
Factorization parameters were as follows:
n: 330589440973255314225263645079176171113094647756950642996462692981587953320770934576349631392773314820324638831035736718569208899467751 
m: 100000000000000000000000000000000000
c4: 1
c2: 54 
c0: -10
skew: 1
type: snfs
qintsize: 1000000
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 12400001)
Relations: rels:2666570, finalFF:167117
Initial matrix: 142442 x 167117 with sparse part having weight 24961771.
Pruned matrix : 140358 x 141134 with weight 19591177.
Total sieving time: 94.65 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 0.42 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,140,4,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 95.27 hours.
 --------- CPU info (if available) ----------

Jul 17, 2005

By Kenichiro Yamaguchi / GGNFS-0.77.1

(7·10¹³⁷+18·10⁶⁸-7)/9 = 77777777777777777777777777777777777777777777777777777777777777777777977777777777777777777777777777777777777777777777777777777777777777777_<137> = 10506477473_<11> · C127

C127 = P50 · P78

P50 = 51057648425002667453045636059406307164844188663419_<50>

P78 = 144989845932924771329522847083309110544324949053020515127168660970901874753571_<78>

Number: 77977_68
N=7402840578838575860122417432586996779617782537245038242683507420087529633042194957341034768882883586588905236381862442487319249
  ( 127 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=51057648425002667453045636059406307164844188663419 (pp50)
 r2=144989845932924771329522847083309110544324949053020515127168660970901874753571 (pp78)
Version: GGNFS-0.77.1
Total time: 122.47 hours.
Scaled time: 116.23 units (timescale=0.949).
Factorization parameters were as follows:
name: 77977_68
n: 7402840578838575860122417432586996779617782537245038242683507420087529633042194957341034768882883586588905236381862442487319249 
m: 10000000000000000000000000000000000
c4: 70 
c2: 18 
c0: -7 
skew: 1
type: snfs
qintsize: 1000000
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 14400001)
Relations: rels:3014398, finalFF:164178
Initial matrix: 142052 x 164178 with sparse part having weight 26085903.
Pruned matrix : 140755 x 141529 with weight 21127433.
Total sieving time: 121.87 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 0.29 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,137,4,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 122.47 hours.
 --------- CPU info (if available) ----------

Jul 16, 2005

By Sinkiti Sibata / GGNFS-0.77.1 gnfs

(4·10¹⁶⁶+41)/9 = (4)₁₆₅9_<166> = 3 · 1259 · 8881923858737_<13> · 40401364458263_<14> · 51065495646920997327834599_<26> · C110

C110 = P36 · P75

P36 = 252853655896565745602501592959710301_<36>

P75 = 253963105929661508765623961233148369053911499956655824042019151346308187173_<75>

Number: 44449_166
N=64215499797161706827556621033272257352479923928817161623830377582115563446339781572769051365696464966564169073
  ( 110 digits)
Divisors found:
 r1=252853655896565745602501592959710301 (pp36)
 r2=253963105929661508765623961233148369053911499956655824042019151346308187173 (pp75)
Version: GGNFS-0.77.1
Total time: 41.77 hours.
Scaled time: 27.86 units (timescale=0.667).
Factorization parameters were as follows:
name: 44449_166
n: 64215499797161706827556621033272257352479923928817161623830377582115563446339781572769051365696464966564169073
skew: 51100.86
# norm 2.02e+15
c5: 16380
c4: 697501395
c3: -110197902058147
c2: -1221084352388025982
c1: 133445717291689851669595
c0: 306001293022180624140253150
# alpha -6.00
Y1: 86760301183
Y0: -1314210551609021917161
# Murphy_E 9.54e-10
# M 1101232051600298967678521977257133459155584196269097313965937274557513455965430142008081627143156241433344184
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [1600000, 2400001)
Relations: rels:7822421, finalFF:783387
Initial matrix: 460487 x 783387 with sparse part having weight 69725892.
Pruned matrix : 340230 x 342596 with weight 19674972.
Total sieving time: 37.50 hours.
Total relation processing time: 0.63 hours.
Matrix solve time: 3.29 hours.
Time per square root: 0.34 hours.
Prototype def-par.txt line would be:
gnfs,109,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 41.77 hours.
 --------- CPU info (if available) ----------

Jul 14, 2005

By Sinkiti Sibata / GGNFS-0.77.1 gnfs

(22·10¹⁵⁵-1)/3 = 7(3)₁₅₅_<156> = 66463 · 294067 · 10793869098912920411_<20> · 84564878541774027181_<20> · C107

C107 = P46 · P61

P46 = 8394639465107877835800536533522911091629400829_<46>

P61 = 4896727872734246461613189779121106863103962201653671255815107_<61>

Number: 73333_155
N=41106265050348651209109426079823610418401505792705524390769516294978128829630033410243134554955236416523703
  ( 107 digits)
Divisors found:
 r1=8394639465107877835800536533522911091629400829 (pp46)
 r2=4896727872734246461613189779121106863103962201653671255815107 (pp61)
Version: GGNFS-0.77.1
Total time: 24.93 hours.
Scaled time: 14.91 units (timescale=0.598).
Factorization parameters were as follows:
name: 73333_155
n: 41106265050348651209109426079823610418401505792705524390769516294978128829630033410243134554955236416523703
skew: 15824.46
# norm 1.24e+15
c5: 30960
c4: 2295784782
c3: -7907675997233
c2: 318189896619804173
c1: -1630944452349060114983
c0: -10672555180726442152409139
# alpha -5.94
Y1: 212316019289
Y0: -265837515430114422086
# Murphy_E 1.34e-09
# M 11587786637167125728995468002773571506908754310662218139944668555444326562087581892928045032656288300419183
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Sieved special-q in [1250000, 2600001)
Relations: rels:4641823, finalFF:461556
Initial matrix: 366018 x 461556 with sparse part having weight 40158039.
Pruned matrix : 334009 x 335903 with weight 21203944.
Total sieving time: 21.05 hours.
Total relation processing time: 0.37 hours.
Matrix solve time: 3.18 hours.
Time per square root: 0.33 hours.
Prototype def-par.txt line would be:
gnfs,106,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 24.93 hours.
 --------- CPU info (if available) ----------

Jul 13, 2005 (2nd)

By Sinkiti Sibata / GGNFS-0.77.1 gnfs

(28·10¹⁵⁷-1)/9 = 3(1)₁₅₇_<158> = 311 · 487 · 480670490093480346271_<21> · 6438097168233354220222049_<25> · C107

C107 = P49 · P59

P49 = 2963884335817527111335736587670265958585892914749_<49>

P59 = 22395457197128163961438045327803254457295208979708748555213_<59>

Number: 31111_157
N=66377544780040065582029086378904075006514291269444715000330262029447448632398896725246594427162887128536537
  ( 107 digits)
Divisors found:
 r1=2963884335817527111335736587670265958585892914749 (pp49)
 r2=22395457197128163961438045327803254457295208979708748555213 (pp59)
Version: GGNFS-0.77.1
Total time: 21.35 hours.
Scaled time: 12.72 units (timescale=0.596).
Factorization parameters were as follows:
name: 31111_157
n: 66377544780040065582029086378904075006514291269444715000330262029447448632398896725246594427162887128536537
skew: 38410.06
# norm 1.14e+15
c5: 17400
c4: 8935325
c3: -44831202975396
c2: 516808779302800968
c1: 1325186689434675137624
c0: -206609403013721160074402976
# alpha -6.35
Y1: 29364425377
Y0: -328317765419041739371
# Murphy_E 1.38e-09
# M 17489802452575438360601809893882234647113953374254161428124547585323647853048195622704181285091601406412204
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Sieved special-q in [1250000, 2300001)
Relations: rels:4383088, finalFF:412079
Initial matrix: 367037 x 412079 with sparse part having weight 29666911.
Pruned matrix : 344995 x 346894 with weight 19885069.
Polynomial selection time: 0.50 hours.
Total sieving time: 17.10 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 3.12 hours.
Time per square root: 0.32 hours.
Prototype def-par.txt line would be:
gnfs,106,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 21.35 hours.
 --------- CPU info (if available) ----------

Jul 13, 2005

By Kenichiro Yamaguchi / GGNFS-0.77.1

(10¹⁴³+27·10⁷¹-1)/9 = 11111111111111111111111111111111111111111111111111111111111111111111111411111111111111111111111111111111111111111111111111111111111111111111111_<143> = 347 · 10691 · C136

C136 = P47 · P90

P47 = 15914364112759625740263793294061180343689180989_<47>

P90 = 188200336645953221237336848625512956963451186790808407736477939103129232513949203654597987_<90>

Number: 11411_71
N=2995088683527638214132847098656094722435098150403949108291714329759204235486691278508414686680927481924415163259438804842207796078069143
  ( 136 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=15914364112759625740263793294061180343689180989 (pp47)
 r2=188200336645953221237336848625512956963451186790808407736477939103129232513949203654597987 (pp90)
Version: GGNFS-0.77.1
Total time: 126.44 hours.
Scaled time: 99.38 units (timescale=0.786).
Factorization parameters were as follows:
n: 2995088683527638214132847098656094722435098150403949108291714329759204235486691278508414686680927481924415163259438804842207796078069143 
m: 1000000000000000000000000000000000000
c4: 1
c2: 27 
c0: -10
skew: 1
type: snfs
qintsize: 14450000
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Sieved special-q in [650000, 15100001)
Relations: rels:4493677, finalFF:224737
Initial matrix: 200220 x 224737 with sparse part having weight 34853767.
Pruned matrix : 196913 x 197978 with weight 29246889.
Total sieving time: 124.98 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 1.15 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,144,4,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 126.44 hours.
 --------- CPU info (if available) ----------

Jul 12, 2005

By Sinkiti Sibata / GGNFS-0.77.1 gnfs

(10¹⁵⁹-7)/3 = (3)₁₅₈1_<159> = 218417 · 27524743 · 4049888683661543_<16> · 146342914665017035903297_<24> · C107

C107 = P46 · P62

P46 = 1437241274453822339930106600253026833902238939_<46>

P62 = 65091543130661698240983562654299215624196046775187187189769129_<62>

Number: 33331_159
N=93552252405278164056093123002242187278556911562047528926414562232061920013364791286396112008530147603914131
  ( 107 digits)
Divisors found:
 r1=1437241274453822339930106600253026833902238939 (pp46)
 r2=65091543130661698240983562654299215624196046775187187189769129 (pp62)
Version: GGNFS-0.77.1
Total time: 22.80 hours.
Scaled time: 15.16 units (timescale=0.665).
Factorization parameters were as follows:
name: 33331_159
n: 93552252405278164056093123002242187278556911562047528926414562232061920013364791286396112008530147603914131
skew: 9012.57
# norm 2.80e+14
c5: 171780
c4: -736144756
c3: -40002967490366
c2: 9797259494568875
c1: 1725079583276220128486
c0: -552403386950124191411875
# alpha -5.36
Y1: 135665563319
Y0: -222441880033545947406
# Murphy_E 1.37e-09
# M 60963646720127694611986479636083141002695212684264197567402216133526579579768781913627043647677979834881598
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Sieved special-q in [1250000, 2450001)
Relations: rels:4650778, finalFF:492472
Initial matrix: 367188 x 492472 with sparse part having weight 39431197.
Pruned matrix : 324884 x 326783 with weight 17475231.
Polynomial selection time: 0.50 hours.
Total sieving time: 18.98 hours.
Total relation processing time: 0.36 hours.
Matrix solve time: 2.65 hours.
Time per square root: 0.30 hours.
Prototype def-par.txt line would be:
gnfs,106,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 22.80 hours.
 --------- CPU info (if available) ----------

Jul 11, 2005 (2nd)

By Sinkiti Sibata / GGNFS-0.77.1 gnfs

(10¹⁴⁷+15·10⁷³-1)/3 = 333333333333333333333333333333333333333333333333333333333333333333333333383333333333333333333333333333333333333333333333333333333333333333333333333_<147> = 21045023536608059_<17> · 2943338195446139826253_<22> · C109

C109 = P35 · P74

P35 = 61663742529777984145787311663377961_<35>

P74 = 87268856142282606568015304626665065775597133889887534234132816390578397939_<74>

Number: 33833_73
N=5381324276025948628264789591339838362751594049171286745485802590192048962658866690069049686584029264420422379
  ( 109 digits)
Divisors found:
 r1=61663742529777984145787311663377961 (pp35)
 r2=87268856142282606568015304626665065775597133889887534234132816390578397939 (pp74)
Version: GGNFS-0.77.1
Total time: 29.54 hours.
Scaled time: 17.66 units (timescale=0.598).
Factorization parameters were as follows:
name: 33833_73
n: 5381324276025948628264789591339838362751594049171286745485802590192048962658866690069049686584029264420422379
skew: 22965.87
# norm 3.24e+15
c5: 63180
c4: -2354866206
c3: -196521512139646
c2: 3142903222265383123
c1: 38224404509356591504146
c0: -1401084493545404024478072
# alpha -6.53
Y1: 15249752903
Y0: -611029234085923076071
# Murphy_E 1.09e-09
# M 2400683074171014488282108658979366985264222852706522840103408779063430082332428060153359032052580550833211202
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [1600000, 2900001)
Relations: rels:6965797, finalFF:529710
Initial matrix: 460592 x 529710 with sparse part having weight 40085239.
Pruned matrix : 428098 x 430464 with weight 25148310.
Polynomial selection time: 0.51 hours.
Total sieving time: 22.85 hours.
Total relation processing time: 0.57 hours.
Matrix solve time: 5.19 hours.
Time per square root: 0.42 hours.
Prototype def-par.txt line would be:
gnfs,108,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 29.54 hours.
 --------- CPU info (if available) ----------

Jul 11, 2005

By Samuel Chong / GMP-ECM 6.0.1, GGNFS-0.77.1-050703

(10¹⁶⁸+53)/9 = (1)₁₆₇7_<168> = 3 · C167

C167 = P36 · P38 · P95

P36 = 261878964938555063242744473807304607_<36>

P38 = 11515180136795295248507748540824609267_<38>

P95 = 12281880964654498189309969065968311562811764670747209318989527925662296843913202781884529405131_<95>

(23·10¹⁶⁰+1)/3 = 7(6)₁₅₉7_<161> = C161

C161 = P53 · P109

P53 = 74162648820128283692300826847968772682286328601604349_<53>

P109 = 1033763867477435275629351214656637596846353731784895260192061546747433303133364923712335701819135369025949383_<109>

Number: 76667_160
N=76666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667
  ( 161 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=74162648820128283692300826847968772682286328601604349 (pp53)
  
r2=1033763867477435275629351214656637596846353731784895260192061546747433303133364923712335701819135369025949383 
(pp109)
Version: GGNFS-0.77.1-050703
Total time: 76.08 hours.
Scaled time: 65.35 units (timescale=0.859).
Factorization parameters were as follows:
name: 76667_160
n: 
76666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667
m: 100000000000000000000000000000000
c5: 23
c0: 1
type: snfs
skew: 0.9
lss: 1
mrif: 24
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved rational special-q in [2000000, 3100001)
Primes: RFBsize:283146, AFBsize:283082, largePrimes:5799177 encountered
Relations: rels:5914757, finalFF:716943
Max relations in full relation-set: 24
Initial matrix: 566293 x 716943 with sparse part having weight 43490331.
Pruned matrix : 438661 x 441556 with weight 25817526.
Total sieving time: 66.80 hours.
Total relation processing time: 0.41 hours.
Matrix solve time: 8.67 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 76.08 hours.
 --------- CPU info (if available) ----------
dual Pentium 3 (1.4GHz Tualatins), 1GB RAM
total elapsed time: 44h28m9s

Jul 9, 2005 (2nd)

By Anton Korobeynikov / GGNFS-0.77.1-050628 gnfs

8·10¹⁸⁶-1 = 7(9)₁₈₆_<187> = 7 · 47 · 504034073 · 1220285033049641423_<19> · 1709433494016512071_<19> · 6918484257964090228128626296689623_<34> · C106

C106 = P50 · P56

P50 = 43460179064912309703242130945598534289867760101911_<50>

P56 = 76916272754778138630365695931283055966594931721405006103_<56>

Number: tst106
N=3342794986928293928439711298315328817078274017058526064300434345723697116171884783306122260523044856962833
  ( 106 digits)
Divisors found:
 r1=43460179064912309703242130945598534289867760101911 (pp50)
 r2=76916272754778138630365695931283055966594931721405006103 (pp56)
Version: GGNFS-0.77.1-050628
Total time: 36.76 hours.
Scaled time: 20.81 units (timescale=0.566).
Factorization parameters were as follows:
name: tst106
n: 3342794986928293928439711298315328817078274017058526064300434345723697116171884783306122260523044856962833
skew: 22980.06
# norm 8.68e+014
c5: 30600
c4: -1740003667
c3: -32467901597076
c2: 654242532677148186
c1: 13394235132160573893740
c0: 36538250124711699962490585
# alpha -6.50
Y1: 39769527721
Y0: -161316533433319433986
# Murphy_E 1.66e-009
# M 56150422288104883049063045575509703078018856389528110844811427753787327203841613591346077155156319932432
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2300001)
Primes: RFBsize:183072, AFBsize:183400, largePrimes:4475736 encountered
Relations: rels:4611750, finalFF:500978
Max relations in full relation-set: 28
Initial matrix: 366553 x 500978 with sparse part having weight 38609386.
Pruned matrix : 316753 x 318649 with weight 15939717.
Total sieving time: 31.89 hours.
Total relation processing time: 0.52 hours.
Matrix solve time: 3.91 hours.
Time per square root: 0.45 hours.
Prototype def-par.txt line would be:
gnfs,105,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 36.76 hours.
 --------- CPU info (if available) ----------

Jul 9, 2005

By Kenichiro Yamaguchi / msieve.exe 0.88

(4·10¹⁶³+41)/9 = (4)₁₆₂9_<163> = 3² · 449 · 12791459 · 339418278537910189_<18> · 229015775528644936079_<21> · C115

C115 = P43 · P72

P43 = 1501711131465614823052960975609372409365361_<43>

P72 = 736582713701113557971116973157308599992470800719116072776400587601760481_<72>

Msieve v. 0.88
Tue May 10 13:02:21 2005
random seeds: f8379780 a1d52400
factoring 1106134460410112267004053938425590422740448760975684649017855331687415017137528661799083521671787787034735540098641 (115 digits)
using multiplier of 21
using sieve block of 65536
using a sieve bound of 2010923 (75000 primes)
using large prime bound of 603276900
using double large prime bound of 6381606628102200

sieving in progress (press Ctrl-C to pause)
found 75129 relations (13111 full + 62018 partial), need 75096
found 75129 relations (13111 full + 62018 partial), need 75096
begin with 1701662 relations
reduce to 210934 relations in 14 passes
attempting to read 13111 full and 210934 partial relations
recovered 13111 full and 210934 partial relations
recovered 223991 polynomials
attempting to build 62018 cycles
found 62018 cycles in 6 passes
distribution of cycle lengths:
   length 2 : 10643
   length 3 : 11401
   length 4 : 10352
   length 5 : 8929
   length 6 : 6946
   length 7 : 4908
   length 8 : 3391
   length 9+: 5448
largest cycle: 25 relations
75000 x 75064 system, weight 7220674 (avg 96.19/col)
reduce to 74822 x 74886 in 3 passes
lanczos halted after 1184 iterations
recovered 63 nontrivial dependencies
prp43 factor: 1501711131465614823052960975609372409365361
prp72 factor: 736582713701113557971116973157308599992470800719116072776400587601760481
elapsed time 1349:25:37

Jul 8, 2005 (3rd)

By Wataru Sakai / GMP-ECM 6.0.1

(28·10¹⁷⁹-1)/9 = 3(1)₁₇₉_<180> = 17 · 158980370820846386325091_<24> · C156

C156 = P33 · C123

P33 = 130636323549165510465523960184309_<33>

C123 = [881168868410478910122156183182007485081616751855695907325787140382716064689547642860087787997396259439449517750318095543657_<123>]

Jul 8, 2005 (2nd)

By Sinkiti Sibata / GGNFS-0.77.1

10¹³⁷-2·10⁶⁸-1 = 99999999999999999999999999999999999999999999999999999999999999999999799999999999999999999999999999999999999999999999999999999999999999999_<137> = 7 · 19 · 506600706529_<12> · C124

C124 = P47 · P77

P47 = 38441493794379124235296597148224755847178273731_<47>

P77 = 38608445186394108523037268509940384027364224838065637538612437090089075939697_<77>

Number: 99799_68
N=1484166306043395693283781916997564678996258611726252697225202884766580785126185686120553035776283831475482882848471115199507
  ( 124 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=38441493794379124235296597148224755847178273731 (pp47)
 r2=38608445186394108523037268509940384027364224838065637538612437090089075939697 (pp77)
Version: GGNFS-0.77.1
Total time: 35.10 hours.
Scaled time: 20.92 units (timescale=0.596).
Factorization parameters were as follows:
name: 99799_68 
n: 1484166306043395693283781916997564678996258611726252697225202884766580785126185686120553035776283831475482882848471115199507
m: 10000000000000000000000000000000000
c4: 10
c2: -2
c0: -1
skew: 2
type: snfs

Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 4525001)
Relations: rels:1843421, finalFF:165720
Initial matrix: 142193 x 165720 with sparse part having weight 21722790.
Pruned matrix : 140008 x 140782 with weight 16736465.
Total sieving time: 33.90 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 0.88 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,137,4,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 35.10 hours.
 --------- CPU info (if available) ----------

Jul 8, 2005

By Kenichiro Yamaguchi / GGNFS-0.77.1, GMP-ECM 6.0

(7·10¹³⁷-45·10⁶⁸-7)/9 = 77777777777777777777777777777777777777777777777777777777777777777777277777777777777777777777777777777777777777777777777777777777777777777_<137> = 3² · 1187 · 83165363 · 33715779863_<11> · C115

C115 = P57 · P58

P57 = 261916745177383314877528648985844868003430140154044524611_<57>

P58 = 9913416204895503222150086051146754399161046075676293950141_<58>

Number: 77277_68
N=2596489705974957897267536554345254312471558114972188002436074720437635301385207442774309289275158481611765681420151
  ( 115 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=261916745177383314877528648985844868003430140154044524611 (pp57)
 r2=9913416204895503222150086051146754399161046075676293950141 (pp58)
Version: GGNFS-0.77.1
Total time: 38.49 hours.
Scaled time: 30.22 units (timescale=0.785).
Factorization parameters were as follows:
n: 2596489705974957897267536554345254312471558114972188002436074720437635301385207442774309289275158481611765681420151
m: 10000000000000000000000000000000000
c4: 70
c2: -45
c0: -7
skew: 1
type: snfs
qintsize: 50000
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 4950001)
Relations: rels:1875197, finalFF:163000
Initial matrix: 142526 x 163000 with sparse part having weight 21649316.
Pruned matrix : 140549 x 141325 with weight 17256639.
Total sieving time: 37.95 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.37 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,137,4,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 38.49 hours.
 --------- CPU info (if available) ----------

10¹⁴³-7·10⁷¹-1 = 99999999999999999999999999999999999999999999999999999999999999999999999299999999999999999999999999999999999999999999999999999999999999999999999_<143> = 631 · 4993 · 113021 · 711889 · 8174189 · 1018445325323_<13> · C107

C107 = P36 · P72

P36 = 124081059014402609188910712167753797_<36>

P72 = 381900090388147519926382272844193239916998973958499765471774268565374743_<72>

Jul 6, 2005

By Kenichiro Yamaguchi / GGNFS-0.77.1

(10¹³⁷+15·10⁶⁸-1)/3 = 33333333333333333333333333333333333333333333333333333333333333333333833333333333333333333333333333333333333333333333333333333333333333333_<137> = 23 · 1301 · C133

C133 = P36 · P97

P36 = 267585440783358957736467000710402543_<36>

P97 = 4163045262442537352797969001234701845700259730698574326340078542301228772173015352281880886073097_<97>

Number: 33833_68
N=1113970301551760630061602557675812362842406621439472423665185086165619534583208011674408760262451403045594804442513562588421392685671
  ( 133 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=267585440783358957736467000710402543 (pp36)
 r2=4163045262442537352797969001234701845700259730698574326340078542301228772173015352281880886073097 (pp97)
Version: GGNFS-0.77.1
Total time: 35.69 hours.
Scaled time: 28.02 units (timescale=0.785).
Factorization parameters were as follows:
n: 1113970301551760630061602557675812362842406621439472423665185086165619534583208011674408760262451403045594804442513562588421392685671 
m: 10000000000000000000000000000000000
c4: 10
c2: 15
c0: -1
skew: 1
type: snfs
qintsize: 50000
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 4650001)
Relations: rels:1837054, finalFF:160049
Initial matrix: 142315 x 160049 with sparse part having weight 21226657.
Pruned matrix : 140547 x 141322 with weight 17398011.
Total sieving time: 35.16 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.38 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,137,4,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 35.69 hours.
 --------- CPU info (if available) ----------

Jul 4, 2005 (2nd)

By Samuel Chong / GGNFS-0.77.1-050612 gnfs

(4·10¹⁶⁹-7)/3 = 1(3)₁₆₈1_<170> = 11 · 61 · 97 · 659 · 54096433 · 54290441 · 64308106981_<11> · 3765965069522130999796999696397_<31> · C105

C105 = P45 · P60

P45 = 687458054229396231638810565700743919885244773_<45>

P60 = 635738994891674777504228524674028850752300643056700335656779_<60>

Number: 13331_169
N=437043892425982813077935152545705581918969058064574850936440789645498900517989233477364470144410131766167
  ( 105 digits)
Divisors found:
 r1=687458054229396231638810565700743919885244773 (pp45)
 r2=635738994891674777504228524674028850752300643056700335656779 (pp60)
Version: GGNFS-0.77.1-050612
Total time: 12.67 hours.
Scaled time: 15.19 units (timescale=1.199).
Factorization parameters were as follows:
name: 13331_169
n: 437043892425982813077935152545705581918969058064574850936440789645498900517989233477364470144410131766167
skew: 3275.14
# norm 6.26e+014
c5: 954720
c4: -15574121622
c3: 37178338993774
c2: 208878367728459544
c1: 57838636510205381169
c0: -331890594985075502529
# alpha -6.11
Y1: 82518468697
Y0: -53967459406002339472
# Murphy_E 2.01e-009
# M 194674284298753262814761309149263309265107036091190640020265067214269292704064162381532010415288947872535
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2150001)
Primes: RFBsize:183072, AFBsize:182604, largePrimes:4439867 encountered
Relations: rels:4561010, finalFF:508893
Max relations in full relation-set: 32
Initial matrix: 365760 x 508893 with sparse part having weight 38261347.
Pruned matrix : 254279 x 256171 with weight 17951282.
Polynomial selection time: 0.95 hours.
Total sieving time: 10.77 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 0.59 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
gnfs,104,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 12.67 hours.
 --------- CPU info (if available) ----------
Pentium M 745 (1.8GHz Dothan), 1GB RAM
total elapsed time: 13h5m7.618s

Jul 4, 2005

By Kenichiro Yamaguchi / GGNFS-0.77.0

(10¹³⁷+6·10⁶⁸-1)/3 = 33333333333333333333333333333333333333333333333333333333333333333333533333333333333333333333333333333333333333333333333333333333333333333_<137> = 431 · C134

C134 = P60 · P75

P60 = 752933367455375140891409663863210594909534577360491740045359_<60>

P75 = 102717615977560843468390580689681339283912919142680246353484793776583549877_<75>

Number: 33533_68
N=77339520494972931167826759474091260634184068058778035576179427687548801237432327919566898685228151585460170146945088940448569218870843
  ( 134 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=752933367455375140891409663863210594909534577360491740045359 (pp60)
 r2=102717615977560843468390580689681339283912919142680246353484793776583549877 (pp75)
Version: GGNFS-0.77.0
Total time: 38.49 hours.
Scaled time: 25.60 units (timescale=0.665).
Factorization parameters were as follows:
n: 77339520494972931167826759474091260634184068058778035576179427687548801237432327919566898685228151585460170146945088940448569218870843 
m: 10000000000000000000000000000000000
c4: 10
c2: 6 
c0: -1
skew: 1
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 4825001)
Relations: rels:1886029, finalFF:162916
Initial matrix: 142156 x 162916 with sparse part having weight 21913619.
Pruned matrix : 140301 x 141075 with weight 17429400.
Total sieving time: 37.61 hours.
Total relation processing time: 0.47 hours.
Matrix solve time: 0.37 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,137,4,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 38.49 hours.
 --------- CPU info (if available) ----------

Jul 3, 2005

By Kenichiro Yamaguchi / GGNFS-0.77.1

(10¹³⁷+12·10⁶⁸-1)/3 = 33333333333333333333333333333333333333333333333333333333333333333333733333333333333333333333333333333333333333333333333333333333333333333_<137> = 7 · 59 · 216015925796663_<15> · C120

C120 = P48 · P72

P48 = 433966982010329182008430441728765593758343711477_<48>

P72 = 860966463396356312426055258598349988964676061853126175816825690309059091_<72>

Number: 33733_68
N=373631017732223298003759928827137458608805528199800698744377777259181496818183259206815312632016168818390425264647887407
  ( 120 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=433966982010329182008430441728765593758343711477 (pp48)
 r2=860966463396356312426055258598349988964676061853126175816825690309059091 (pp72)
Version: GGNFS-0.77.1
Total time: 28.14 hours.
Scaled time: 26.85 units (timescale=0.954).
Factorization parameters were as follows:
name: 33733_68
n: 373631017732223298003759928827137458608805528199800698744377777259181496818183259206815312632016168818390425264647887407 
m: 10000000000000000000000000000000000
c4: 10 
c2: 12 
c0: -1 
skew: 1
type: snfs
qintsize: 300000
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 4300001)
Relations: rels:1813869, finalFF:172676
Initial matrix: 142279 x 172676 with sparse part having weight 22257568.
Pruned matrix : 139729 x 140504 with weight 15929721.
Total sieving time: 27.77 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.22 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,137,4,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 28.14 hours.
 --------- CPU info (if available) ----------

Jul 2, 2005 (2nd)

By Wataru Sakai / GMP-ECM 6.0.1

(28·10¹⁹¹-1)/9 = 3(1)₁₉₁_<192> = 6197 · 17839635938857_<14> · 257151644189669463738913_<24> · C152

C152 = P31 · P121

P31 = 6640250143350598462463268599219_<31>

P121 = 1648064835818731819503175566093799461463906092440925968516339312383305952539020121973929333839216181356636543190133684097_<121>

(79·10¹⁷⁰-7)/9 = 8(7)₁₇₀_<171> = 1765641831386057_<16> · C156

C156 = P30 · C126

P30 = 519984567881869875839623965217_<30>

C126 = [956074021105397536437342755056849754612201290610974264349641650804121960025424871623231611685371025112062981295261387784719433_<126>]

Jul 2, 2005

By Makoto Kamada / PFGW 1.2

(505·10¹⁸⁴⁷⁰-1)/9 = 56(1)₁₈₄₇₀_<18472> is PRP.

This is the second largest known PRP of the smallest prime or PRP of a quasi-repdigit sequence. The largest one is (2·10¹⁹¹⁵³+691)/9 = (2)₁₉₁₅₁99_<19153>, and the third largest one is (64·10¹⁰⁹⁰⁶+53)/9 = 7(1)₁₀₉₀₅7_<10907>

Jul 1, 2005

By Kenichiro Yamaguchi / GGNFS-0.77.0

(10¹³⁷+45·10⁶⁸-1)/9 = 11111111111111111111111111111111111111111111111111111111111111111111611111111111111111111111111111111111111111111111111111111111111111111_<137> = 559166411 · C128

C128 = P45 · P83

P45 = 704654122261087194924139620175139766287597353_<45>

P83 = 28199435724179175393788787025494771519765673504676048833953469555595431725123255917_<83>

Number: 11611_68
N=19870848628479422579463756650989379816505307059853262736683071457079368651689471939885729493703639346661527405499167422470787701
  ( 128 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=704654122261087194924139620175139766287597353 (pp45)
 r2=28199435724179175393788787025494771519765673504676048833953469555595431725123255917 (pp83)
Version: GGNFS-0.77.0
Total time: 59.56 hours.
Scaled time: 39.61 units (timescale=0.665).
Factorization parameters were as follows:
n: 19870848628479422579463756650989379816505307059853262736683071457079368651689471939885729493703639346661527405499167422470787701
m: 10000000000000000000000000000000000
c4: 10
c2: 45
c0: -1
skew: 1
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 7450001)
Relations: rels:2229625, finalFF:162723
Initial matrix: 142652 x 162723 with sparse part having weight 23393520.
Pruned matrix : 140936 x 141713 with weight 19021909.
Total sieving time: 58.23 hours.
Total relation processing time: 0.87 hours.
Matrix solve time: 0.41 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,137,4,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 59.56 hours.
 --------- CPU info (if available) ----------

June 2005

Jun 30, 2005

By Sinkiti Sibata / GGNFS-0.77.1 gnfs

(7·10¹³⁷-18·10⁶⁸-7)/9 = 77777777777777777777777777777777777777777777777777777777777777777777577777777777777777777777777777777777777777777777777777777777777777777_<137> = 3 · 884363 · 553505604161_<12> · 3799866671149_<13> · C106

C106 = P46 · P61

P46 = 3139584356142145225486413564783334191312242041_<46>

P61 = 4439572722040745954689283568061219008015925598950385086497757_<61>

Number: 77577_68
N=13938413066074526459550572217872702166758177181291534495675201749827826630037025580766549200053608187602037
  ( 107 digits)
Divisors found:
 r1=3139584356142145225486413564783334191312242041 (pp46)
 r2=4439572722040745954689283568061219008015925598950385086497757 (pp61)
Version: GGNFS-0.77.1
Total time: 24.73 hours.
Scaled time: 16.47 units (timescale=0.666).
Factorization parameters were as follows:
name: 77577_68
n: 13938413066074526459550572217872702166758177181291534495675201749827826630037025580766549200053608187602037
skew: 26153.90
# norm 7.56e+14
c5: 5160
c4: -1257012006
c3: 4533546271449
c2: 976361616744067814
c1: 7358141065657339478068
c0: -304290792462030617262216
# alpha -5.32
Y1: 18800850643
Y0: -306417823973357441825
# Murphy_E 1.34e-09
# M 8780830775051261192254256101566781879965777699126972178494282960650192075929371822912518153518254264739592
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Sieved special-q in [1250000, 2600001)
Relations: rels:4745417, finalFF:509851
Initial matrix: 365625 x 509851 with sparse part having weight 42527875.
Pruned matrix : 318993 x 320885 with weight 17837218.
Total sieving time: 21.14 hours.
Total relation processing time: 0.35 hours.
Matrix solve time: 2.92 hours.
Time per square root: 0.32 hours.
Prototype def-par.txt line would be:
gnfs,106,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 24.73 hours.
 --------- CPU info (if available) ----------

Jun 29, 2005 (5th)

By Samuel Chong / GGNFS-0.77.1

10¹⁶¹-3 = (9)₁₆₀7_<161> = C161

C161 = P70 · P92

P70 = 1832934247661461281400687301882801770474799900077065371833785212553683_<70>

P92 = 54557330753999730405854658459191838430800911789742566920056359690858206347228970175385246959_<92>

Number: 99997_161
N=99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997
  ( 161 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=1832934247661461281400687301882801770474799900077065371833785212553683 (pp70)
 r2=54557330753999730405854658459191838430800911789742566920056359690858206347228970175385246959 (pp92)
Version: GGNFS-0.77.1
Total time: 60.24 hours.
Scaled time: 66.50 units (timescale=1.104).
Factorization parameters were as follows:
name: 99997_161
n: 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997
m: 100000000000000000000000000000000
c5: 10
c0: -3
type: snfs
skew: 0.7
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [2000000, 3500001)
Primes: RFBsize:283146, AFBsize:282917, largePrimes:7030172 encountered
Relations: rels:7299800, finalFF:756318
Max relations in full relation-set: 20
Initial matrix: 566129 x 756318 with sparse part having weight 56526770.
Pruned matrix : 506316 x 509210 with weight 28850611.
Total sieving time: 52.95 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 6.89 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,49,49,2.4,2.4,100000
total time: 60.24 hours.
 --------- CPU info (if available) ----------
dual Athlon MP 2600+ (2.0GHz Bartons), 3GB RAM
total elapsed time: 32h51m31.406s

Jun 29, 2005 (4th)

By Patrick De Geest / Jun 23, 2005

(82·10⁴³⁸⁸⁰+71)/9 = 9(1)₄₃₈₇₉9_<43881> is PRP.

By Patrick De Geest / Jun 26, 2005

(83·10³⁷⁷⁸⁶+61)/9 = 9(2)₃₇₇₈₅9_<37787> is PRP.

Jun 29, 2005 (3rd)

By Samuel Chong / GMP-ECM 6.0.1

(52·10¹⁶⁵-7)/9 = 5(7)₁₆₅_<166> = C166

C166 = P36 · P131

P36 = 313862789381081919213237110091137467_<36>

P131 = 18408610301244054879443279259036322031382779494497999913003479922425729679234475767694159477151224688418434556725166139285255188931_<131>

Jun 29, 2005 (2nd)

By Sinkiti Sibata / GGNFS-0.77.1 gnfs

(7·10¹⁴³-36·10⁷¹-7)/9 = 77777777777777777777777777777777777777777777777777777777777777777777777377777777777777777777777777777777777777777777777777777777777777777777777_<143> = 11 · 102071 · 28754261 · 80205253763_<11> · 260823065549741_<15> · C105

C105 = P52 · P53

P52 = 4761533364231980885181395443753493341945745354531189_<52>

P53 = 24185920515192961128829497062761621587444827284965931_<53>

Number: 77377_71
N=115162067477754024562918087384556074401558244350589408628121212622470605598872704565867664652208341921959
  ( 105 digits)
Divisors found:
 r1=4761533364231980885181395443753493341945745354531189 (pp52)
 r2=24185920515192961128829497062761621587444827284965931 (pp53)
Version: GGNFS-0.77.1
Total time: 17.06 hours.
Scaled time: 10.19 units (timescale=0.597).
Factorization parameters were as follows:
name: 77377_71
n: 115162067477754024562918087384556074401558244350589408628121212622470605598872704565867664652208341921959
skew: 57212.05
# norm 2.28e+14
c5: 1200
c4: 70737284
c3: -4449365244275
c2: -414628910607682135
c1: 5334143461390647495891
c0: 377185919224996589423906979
# alpha -5.98
Y1: 38161745767
Y0: -157189813397099087098
# Murphy_E 2.00e-09
# M 41335342175943446713747996473584525357871536267380113466463065723278983495237115314914455851303348086074
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Sieved special-q in [1250000, 2150001)
Relations: rels:4880913, finalFF:645857
Initial matrix: 366203 x 645857 with sparse part having weight 46801850.
Pruned matrix : 266297 x 268192 with weight 11558815.
Total sieving time: 14.82 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 1.66 hours.
Time per square root: 0.28 hours.
Prototype def-par.txt line would be:
gnfs,104,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 17.06 hours.
 --------- CPU info (if available) ----------

Jun 29, 2005

By Kenichiro Yamaguchi / GGNFS-0.77.0

(10¹³⁹+18·10⁶⁹-1)/9 = 1111111111111111111111111111111111111111111111111111111111111111111113111111111111111111111111111111111111111111111111111111111111111111111_<139> = 3 · 14479 · 1369466309_<10> · C125

C125 = P34 · P45 · P46

P34 = 4184092094865800336916701845043237_<34>

P45 = 893293804598802393281431649437994473684771919_<45>

P46 = 4997476473310700634780909783179017146879542389_<46>

Number: 11311_69
N=18678685738298794174046969957192960070916336444334060987947992036477848302805534597394113440809379070205875036128435095867367
  ( 125 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=4184092094865800336916701845043237 (pp34)
 r2=893293804598802393281431649437994473684771919 (pp45)
 r3=4997476473310700634780909783179017146879542389 (pp46)
Version: GGNFS-0.77.0
Total time: 147.72 hours.
Scaled time: 98.09 units (timescale=0.664).
Factorization parameters were as follows:
n: 18678685738298794174046969957192960070916336444334060987947992036477848302805534597394113440809379070205875036128435095867367 
m: 100000000000000000000000000000000000
c4: 1
c2: 18
c0: -10
skew: 1
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 19000001)
Relations: rels:3237474, finalFF:160698
Initial matrix: 142026 x 160698 with sparse part having weight 24923450.
Pruned matrix : 140878 x 141652 with weight 20807866.
Total sieving time: 143.31 hours.
Total relation processing time: 3.89 hours.
Matrix solve time: 0.45 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,140,4,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 147.72 hours.
 --------- CPU info (if available) ----------

Jun 28, 2005

By Sinkiti Sibata / GGNFS-0.77.1 gnfs

(7·10¹⁴⁵-36·10⁷²-7)/9 = 7777777777777777777777777777777777777777777777777777777777777777777777773777777777777777777777777777777777777777777777777777777777777777777777777_<145> = 3 · 33857 · 507060199 · 3766094209_<10> · 5935426430706088879_<19> · C103

C103 = P47 · P57

P47 = 59443464427074334729157629370808569275103035673_<47>

P57 = 113652517762689411836180240338141093896068762859504638971_<57>

Number: 77377_72
N=6755899396673862009459505046706354892272941224688720232306642587547168598726070408097424680947999012483
  ( 103 digits)
Divisors found:
 r1=59443464427074334729157629370808569275103035673 (pp47)
 r2=113652517762689411836180240338141093896068762859504638971 (pp57)
Version: GGNFS-0.77.1
Total time: 15.72 hours.
Scaled time: 9.37 units (timescale=0.596).
Factorization parameters were as follows:
name: 77377_72
n: 6755899396673862009459505046706354892272941224688720232306642587547168598726070408097424680947999012483
skew: 40431.19
# norm 2.35e+14
c5: 3420
c4: 74118908
c3: -13835575302323
c2: 3726605185089849
c1: 11625778199282227060071
c0: -72042042160946319937303365
# alpha -5.79
Y1: 19670678723
Y0: -72298768767220674274
# Murphy_E 2.12e-09
# M 4280733064584259016568351758730077648894595582757764707168292691492191195813666337574719453010791144127
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Sieved special-q in [1150000, 1950001)
Relations: rels:4455020, finalFF:454450
Initial matrix: 339213 x 454450 with sparse part having weight 32467197.
Pruned matrix : 293588 x 295348 with weight 13619684.
Total sieving time: 12.96 hours.
Total relation processing time: 0.38 hours.
Matrix solve time: 2.08 hours.
Time per square root: 0.30 hours.
Prototype def-par.txt line would be:
gnfs,102,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 15.72 hours.
 --------- CPU info (if available) ----------

Jun 27, 2005 (2nd)

By Sinkiti Sibata / GGNFS-0.77.1 gnfs

(10¹⁴⁹-6·10⁷⁴-1)/3 = 33333333333333333333333333333333333333333333333333333333333333333333333333133333333333333333333333333333333333333333333333333333333333333333333333333_<149> = 1645105959193_<13> · 549896263989365396087204809637734957_<36> · C101

C101 = P35 · P66

P35 = 59088507105035948455390819680301591_<35>

P66 = 623592787042734103807313228026615522730609051188413739373310403063_<66>

Number: 33133_74
N=36847166827823763228931277868889258433231567607583557023069093744296139031526987578002088737610173233
  ( 101 digits)
Divisors found:
 r1=59088507105035948455390819680301591 (pp35)
 r2=623592787042734103807313228026615522730609051188413739373310403063 (pp66)
Version: GGNFS-0.77.1
Total time: 12.14 hours.
Scaled time: 7.25 units (timescale=0.597).
Factorization parameters were as follows:
name: 33133_74
n: 36847166827823763228931277868889258433231567607583557023069093744296139031526987578002088737610173233
skew: 2061.15
# norm 3.94e+13
c5: 510600
c4: -64342220
c3: -897473158979
c2: 10537454224105978
c1: -7393730521069466568
c0: -7372732815319682194560
# alpha -5.43
Y1: 24084012007
Y0: -9368384053546856099
# Murphy_E 3.10e-09
# M 15436513662557387529294245143531416636201359402394397310204520111026845119130537766733719357288242835
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Sieved special-q in [900000, 1600001)
Relations: rels:4228087, finalFF:487758
Initial matrix: 269868 x 487758 with sparse part having weight 39557090.
Pruned matrix : 208691 x 210104 with weight 9874067.
Polynomial selection time: 0.33 hours.
Total sieving time: 10.27 hours.
Total relation processing time: 0.33 hours.
Matrix solve time: 0.99 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
gnfs,100,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 12.14 hours.
 --------- CPU info (if available) ----------

Jun 27, 2005

By Kenichiro Yamaguchi / GGNFS-0.77.1

(10¹³⁷+36·10⁶⁸-1)/9 = 11111111111111111111111111111111111111111111111111111111111111111111511111111111111111111111111111111111111111111111111111111111111111111_<137> = 3 · 19 · 71 · 337 · 17041 · C126

C126 = P48 · P79

P48 = 421441220072673151631405605916567018262009237257_<48>

P79 = 1134389761960460886881885376405743011940355015986793071521429235760879875030177_<79>

Number: 11511_68
N=478078605318565907109850453990751759110387649253025838582800077989769882303434166081105987077670852646915556998044155627704489
  ( 126 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=421441220072673151631405605916567018262009237257 (pp48)
 r2=1134389761960460886881885376405743011940355015986793071521429235760879875030177 (pp79)
Version: GGNFS-0.77.1
Total time: 31.93 hours.
Scaled time: 30.50 units (timescale=0.955).
Factorization parameters were as follows:
n: 478078605318565907109850453990751759110387649253025838582800077989769882303434166081105987077670852646915556998044155627704489 
m: 10000000000000000000000000000000000
c4: 10
c2: 36
c0: -1
skew: 1
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 3775001)
Relations: rels:1717393, finalFF:167714
Initial matrix: 142708 x 167714 with sparse part having weight 20985311.
Pruned matrix : 140336 x 141113 with weight 15721069.
Total sieving time: 31.44 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.33 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,137,4,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 31.93 hours.
 --------- CPU info (if available) ----------

Jun 26, 2005 (3rd)

By Sinkiti Sibata / GGNFS-0.77.1 gnfs

(7·10¹³⁹+9·10⁶⁹-7)/9 = 7777777777777777777777777777777777777777777777777777777777777777777778777777777777777777777777777777777777777777777777777777777777777777777_<139> = 17 · 677 · 174799 · 10796089709966723892211355663_<29> · C102

C102 = P40 · P63

P40 = 1619431214291851515000749284302973001453_<40>

P63 = 221131191553095858102340548721362892234957240074748045127193473_<63>

Number: 77877_69
N=358106754054634044213737010315384421193531136375089526504295315148840154621966188339153429665041116269
  ( 102 digits)
Divisors found:
 r1=1619431214291851515000749284302973001453 (pp40)
 r2=221131191553095858102340548721362892234957240074748045127193473 (pp63)
Version: GGNFS-0.77.1
Total time: 13.75 hours.
Scaled time: 9.16 units (timescale=0.666).
Factorization parameters were as follows:
name: 77877_69
n: 358106754054634044213737010315384421193531136375089526504295315148840154621966188339153429665041116269
skew: 42781.62
# norm 8.30e+13
c5: 840
c4: -35969722
c3: -2811953398404
c2: 12278280375104019
c1: 3172243310071161156676
c0: 42538643512976530241454951
# alpha -5.61
Y1: 10846187899
Y0: -53204382058511610320
# Murphy_E 2.74e-09
# M 295627027199131448071231397144316424902116359664442363969762974700191693172407930679170263033594015990
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Sieved special-q in [1150000, 1850001)
Relations: rels:4610174, finalFF:531429
Initial matrix: 338852 x 531429 with sparse part having weight 39765774.
Pruned matrix : 264693 x 266451 with weight 11933215.
Polynomial selection time: 0.33 hours.
Total sieving time: 11.53 hours.
Total relation processing time: 0.32 hours.
Matrix solve time: 1.33 hours.
Time per square root: 0.23 hours.
Prototype def-par.txt line would be:
gnfs,101,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 13.75 hours.
 --------- CPU info (if available) ----------

Jun 26, 2005 (2nd)

By Wataru Sakai / GMP-ECM 6.0.1

(28·10¹⁶⁴-1)/9 = 3(1)₁₆₄_<165> = 1737265539857_<13> · 252249696241091_<15> · C138

C138 = P29 · P110

P29 = 26106630115401509928704918723_<29>

P110 = 27193671615382449140729179756297345921271319139648222513354703536214203678797979436152365081608209288658796511_<110>

(28·10¹⁷⁰-1)/9 = 3(1)₁₇₀_<171> = 19 · 194022611 · 5328187985291_<13> · C149

C149 = P27 · C122

P27 = 523160083277781738962657179_<27>

C122 = [30275786718939073262198283789978155876672082056701271284678851780538889561037058996711978385933115010226062811804230797911_<122>]

(28·10¹⁷⁴-1)/9 = 3(1)₁₇₄_<175> = 3 · 2971 · 10799 · 451939 · 605286277 · 5324553890743_<13> · C140

C140 = P33 · P108

P33 = 168517515354625529559054637391101_<33>

P108 = 131685862319569826123767299065424365952891770022473676802466204675977540215100361667406077973313830273073557_<108>

(79·10¹⁸²-7)/9 = 8(7)₁₈₂_<183> = 115987387 · 125687914650272813477483495359_<30> · C146

C146 = P30 · C117

P30 = 277453739305469829129656557217_<30>

C117 = [217014980556087308878927231813617367028075041392377799114208275145971398575415608280897569212675022064944352895246557_<117>]

Jun 26, 2005

By Sinkiti Sibata / GGNFS-0.77.1 gnfs

(7·10¹⁴¹-18·10⁷⁰-7)/9 = 777777777777777777777777777777777777777777777777777777777777777777777757777777777777777777777777777777777777777777777777777777777777777777777_<141> = 233 · 11113 · 232007 · 2111792219969_<13> · 84353798525778169_<17> · C100

C100 = P39 · P62

P39 = 352953140580240685743783096160847197447_<39>

P62 = 20591800718093390918495913306836168292815036621125855831795577_<62>

Number: 77577_70
N=7267940733653517707296451012967115921766358184798910647895987149003799541521580764580071594260291919
  ( 100 digits)
Divisors found:
 r1=352953140580240685743783096160847197447 (pp39)
 r2=20591800718093390918495913306836168292815036621125855831795577 (pp62)
Version: GGNFS-0.77.1
Total time: 10.63 hours.
Scaled time: 6.35 units (timescale=0.597).
Factorization parameters were as follows:
name: 77577_70
n: 7267940733653517707296451012967115921766358184798910647895987149003799541521580764580071594260291919
skew: 6644.82
# norm 1.59e+14
c5: 123120
c4: -974480016
c3: -9144399786380
c2: -8942139643844767
c1: 17268803406231924610
c0: -204465531944783777912712
# alpha -6.28
Y1: 11687674721
Y0: -8999480637777053393
# Murphy_E 3.13e-09
# M 2714786103330676513410033898228265489317158329577837996874109066379092597344062163433877596636689516
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Sieved special-q in [900000, 1500001)
Relations: rels:4129872, finalFF:475867
Initial matrix: 270228 x 475867 with sparse part having weight 36702839.
Pruned matrix : 205040 x 206455 with weight 9063096.
Polynomial selection time: 0.33 hours.
Total sieving time: 8.95 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 0.86 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
gnfs,99,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 10.63 hours.
 --------- CPU info (if available) ----------

Jun 25, 2005 (3rd)

By Sinkiti Sibata / GGNFS-0.77.1 gnfs

10¹⁵¹-5·10⁷⁵-1 = 9999999999999999999999999999999999999999999999999999999999999999999999999994999999999999999999999999999999999999999999999999999999999999999999999999999_<151> = 7 · 293 · 9539 · 15683 · 54258411269768597_<17> · 427783759648005329_<18> · C106

C106 = P46 · P60

P46 = 3517062300547732144252876581838513053265293857_<46>

P60 = 399237126270832542031473445700832275264923599868927241797897_<60>

Number: 99499_75
N=1404141845786159730429740222071762294828945006292206142265896945850516241497742346324533224878476709618729
  ( 106 digits)
Divisors found:
 r1=3517062300547732144252876581838513053265293857 (pp46)
 r2=399237126270832542031473445700832275264923599868927241797897 (pp60)
Version: GGNFS-0.77.1
Total time: 20.20 hours.
Scaled time: 13.45 units (timescale=0.666).
Factorization parameters were as follows:
name: 99499_75
n: 1404141845786159730429740222071762294828945006292206142265896945850516241497742346324533224878476709618729
skew: 20417.01
# norm 3.32e+14
c5: 11400
c4: -311860810
c3: 12167755640755
c2: 169336099166944217
c1: -3517189059279253542489
c0: -20222946190198593400537881
# alpha -5.97
Y1: 31933474111
Y0: -165234863264426566960
# Murphy_E 1.71e-09
# M 442288634088352137625259821992219151505734991060703111706403952540384173456401162565088843827489791074009
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Sieved special-q in [1250000, 2300001)
Relations: rels:4763016, finalFF:564391
Initial matrix: 366513 x 564391 with sparse part having weight 45649436.
Pruned matrix : 296929 x 298825 with weight 15263831.
Polynomial selection time: 0.50 hours.
Total sieving time: 16.98 hours.
Total relation processing time: 0.47 hours.
Matrix solve time: 1.98 hours.
Time per square root: 0.26 hours.
Prototype def-par.txt line would be:
gnfs,105,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 20.20 hours.
 --------- CPU info (if available) ----------

Jun 25, 2005 (2nd)

By Kenichiro Yamaguchi / GGNFS-0.77.1

(7·10¹³⁵-36·10⁶⁷-7)/9 = 777777777777777777777777777777777777777777777777777777777777777777737777777777777777777777777777777777777777777777777777777777777777777_<135> = 11 · 17² · 67 · 72707 · 15985362517_<11> · C115

C115 = P53 · P63

P53 = 24134275568127256336038479726753542342790015428526783_<53>

P63 = 130183881963273175231533304158072486413518393051052112152990257_<63>

Number: 77377_67
N=3141893681830186390130089036773194660026081857624140780532314295921848830769954838208312142442422878159973662553231
  ( 115 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=24134275568127256336038479726753542342790015428526783 (pp53)
 r2=130183881963273175231533304158072486413518393051052112152990257 (pp63)
Version: GGNFS-0.77.1
Total time: 37.79 hours.
Scaled time: 19.31 units (timescale=0.511).
Factorization parameters were as follows:
n: 3141893681830186390130089036773194660026081857624140780532314295921848830769954838208312142442422878159973662553231 
m: 10000000000000000000000000000000000
c4: 7
c2: -36
c0: -70
skew: 1
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 4225001)
Relations: rels:1763505, finalFF:160460
Initial matrix: 142552 x 160460 with sparse part having weight 19861054.
Pruned matrix : 140766 x 141542 with weight 16130213.
Total sieving time: 36.91 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.73 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,136,4,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 37.79 hours.
 --------- CPU info (if available) ----------

Jun 25, 2005

By Samuel Chong / GGNFS-0.77.1

(5·10¹⁶⁰-17)/3 = 1(6)₁₅₉1_<161> = C161

C161 = P73 · P88

P73 = 7882418625046493137079200109466142233457102918797363849268660188394441163_<73>

P88 = 2114410241256167881019929854171578797976297286873491215535819386209922986237183824564047_<88>

Number: 16661_160
N=16666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666661
  ( 161 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=7882418625046493137079200109466142233457102918797363849268660188394441163 (pp73)
 r2=2114410241256167881019929854171578797976297286873491215535819386209922986237183824564047 (pp88)
Version: GGNFS-0.77.1
Total time: 44.33 hours.
Scaled time: 48.94 units (timescale=1.104).
Factorization parameters were as follows:
name: 16661_160
n: 16666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666661
m: 100000000000000000000000000000000
c5: 5
c0: -17
type: snfs
skew: 1.4
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [2000000, 3100001)
Relations: rels:7740521, finalFF:1050646
Max relations in full relation-set: 24
Initial matrix: 565968 x 1050646 with sparse part having weight 
83903736.
Pruned matrix : 417609 x 420502 with weight 23392534.
Total sieving time: 39.65 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 4.31 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,49,49,2.4,2.4,100000
total time: 44.33 hours.
 --------- CPU info (if available) ----------
dual Athlon MP 2600+ (2.0GHz Bartons), 3GB RAM
total elapsed time: 26h34m15.203s

Jun 24, 2005 (2nd)

By Sinkiti Sibata / GGNFS-0.77.1 gnfs

(7·10¹⁵¹+18·10⁷⁵-7)/9 = 7777777777777777777777777777777777777777777777777777777777777777777777777779777777777777777777777777777777777777777777777777777777777777777777777777777_<151> = 3 · 3371 · 167747 · 943601 · 24185170832763180443818023037_<29> · C108

C108 = P48 · P61

P48 = 169346109874757417843904031977676871790741094379_<48>

P61 = 1186336752025393198584033912651226741202452028767265265831509_<61>

Number: 77977_75
N=200901513956955081270327293751799424826200226008456663010883334938513692421828631863588058922940782080987911
  ( 108 digits)
Divisors found:
 r1=169346109874757417843904031977676871790741094379 (pp48)
 r2=1186336752025393198584033912651226741202452028767265265831509 (pp61)
Version: GGNFS-0.77.1
Total time: 23.62 hours.
Scaled time: 15.73 units (timescale=0.666).
Factorization parameters were as follows:
name: 77977_75
n: 200901513956955081270327293751799424826200226008456663010883334938513692421828631863588058922940782080987911
skew: 13846.45
# norm 2.03e+14
c5: 23400
c4: 809845272
c3: -2641094002024
c2: -213525271454027953
c1: 564132403817719659842
c0: 2480299527894433387021947
# alpha -5.24
Y1: 144903312829
Y0: -386146713039942139214
# Murphy_E 1.47e-09
# M 98349779625979756049703595573081058560548083551952179451017366893202083963636831223866291457045693186532823
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Sieved special-q in [1250000, 2450001)
Relations: rels:4474962, finalFF:414352
Initial matrix: 366187 x 414352 with sparse part having weight 32180827.
Pruned matrix : 345910 x 347804 with weight 21662205.
Polynomial selection time: 0.94 hours.
Total sieving time: 18.59 hours.
Total relation processing time: 0.36 hours.
Matrix solve time: 3.41 hours.
Time per square root: 0.32 hours.
Prototype def-par.txt line would be:
gnfs,107,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 23.62 hours.
 --------- CPU info (if available) ----------

Jun 24, 2005

By Wataru Sakai / GMP-ECM 6.0.1

(79·10¹⁵⁵-7)/9 = 8(7)₁₅₅_<156> = 233 · 10433 · 1481882918251259_<16> · C135

C135 = P28 · C107

P28 = 5408053588527112006899636743_<28>

C107 = [45057238943389029641403277796867297413112395948019299563561301516711477073402428700617197619020871097375389_<107>]

(79·10¹⁶³-7)/9 = 8(7)₁₆₃_<164> = 3 · 74843 · 38060733327077701_<17> · C143

C143 = P28 · P115

P28 = 1083398825202294831704209103_<28>

P115 = 9480835858431198174849223900216501761666793567184223673469931008775997377554534316342050879918045338480030893555971_<115>

(79·10¹⁷⁴-7)/9 = 8(7)₁₇₄_<175> = 23 · 111847 · 2700199 · 11341333 · 28678103502931_<14> · 5767905468864376763_<19> · C123

C123 = P26 · P97

P26 = 73719021324300880388201021_<26>

P97 = 9137437277905360554319628040724189738408180401913813774870087386642308107897726771619334377416327_<97>

(79·10¹⁸²-7)/9 = 8(7)₁₈₂_<183> = 115987387 · C175

C175 = P30 · C146

P30 = 125687914650272813477483495359_<30>

C146 = [60211617840590252087949989171340449444131975941613010385946043012464564059565044302335961986003621602364869851210827579943438660712327824992751869_<146>]

(79·10¹⁹¹-7)/9 = 8(7)₁₉₁_<192> = 163 · 818566172909689_<15> · C175

C175 = P31 · P145

P31 = 2085333327995178647780613948737_<31>

P145 = 3154769981065663717423453824301089431621799766297681716683244043756090996193911841402129171004373985965188845124589593043288901552008988704958003_<145>

(79·10¹⁹⁸-7)/9 = 8(7)₁₉₈_<199> = 1286209 · C193

C193 = P26 · C168

P26 = 47217478072347778516414417_<26>

C168 = [144534076007327483294015834553477161019199808201781278959371252262113722534800307802918300030512630351102520759280855616387259510287054700793882474466213738567899443809_<168>]

(28·10¹⁸⁶-1)/9 = 3(1)₁₈₆_<187> = 3⁴ · 53 · 131 · 199 · 4067309 · C172

C172 = P27 · P145

P27 = 916625868678918833697444587_<27>

P145 = 7456430668834257789935629689706953845490417530837617773240220206737721146056877271697384437834443068299796703587179227184524836846837788764124001_<145>

(28·10¹⁸⁷-1)/9 = 3(1)₁₈₇_<188> = 179 · 1858889 · 48572115197_<11> · C169

C169 = P27 · C142

P27 = 440201725980094243625218327_<27>

C142 = [4372907351289223229267778825845950022974115758147345589181819982954699556380698836382389471097593379123455797524271583494620312221578927889999_<142>]

Jun 23, 2005 (3rd)

By Kenichiro Yamaguchi / GGNFS-0.77.1, GMP-ECM 6.0

(10¹³⁵-6·10⁶⁷-1)/3 = 333333333333333333333333333333333333333333333333333333333333333333313333333333333333333333333333333333333333333333333333333333333333333_<135> = 2083 · 321323 · 114664909 · 647245309 · C109

C109 = P40 · P69

P40 = 9251834436414450825830648393219171960261_<40>

P69 = 725304492835519725799380775948829474578870894276745894551318459324057_<69>

Number: 33133_67
N=6710397083701779729142349441629579134917644441680414304107635663746250452060508983802785279082528965725298877
  ( 109 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=9251834436414450825830648393219171960261 (pp40)
 r2=725304492835519725799380775948829474578870894276745894551318459324057 (pp69)
Version: GGNFS-0.77.1
Total time: 36.38 hours.
Scaled time: 18.63 units (timescale=0.512).
Factorization parameters were as follows:
n: 6710397083701779729142349441629579134917644441680414304107635663746250452060508983802785279082528965725298877 
m: 10000000000000000000000000000000000
c4: 1
c2: -6
c0: -10
skew: 1
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 4075001)
Relations: rels:1764008, finalFF:159951
Initial matrix: 142152 x 159951 with sparse part having weight 20310478.
Pruned matrix : 140403 x 141177 with weight 16509283.
Total sieving time: 35.54 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.70 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,136,4,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 36.38 hours.
 --------- CPU info (if available) ----------

(10¹⁴¹+36·10⁷⁰-1)/9 = 111111111111111111111111111111111111111111111111111111111111111111111151111111111111111111111111111111111111111111111111111111111111111111111_<141> = 23 · 941 · 16741 · 118251965119_<12> · C121

C121 = P30 · P91

P30 = 899184948562321468607927788999_<30>

P91 = 2884039734134237755177191008659240780879866778331898494027158997512479778098162515038302937_<91>

Jun 23, 2005 (2nd)

By Sinkiti Sibata / GGNFS-0.77.1 gnfs

(10¹⁴¹+15·10⁷⁰-1)/3 = 333333333333333333333333333333333333333333333333333333333333333333333383333333333333333333333333333333333333333333333333333333333333333333333_<141> = 4796218403_<10> · 4871092716755507520521488122659_<31> · C101

C101 = P45 · P56

P45 = 410088344293830932028617665624544383991341829_<45>

P56 = 34791725834592404126743198643481717824252849248670997001_<56>

Number: 33833_70
N=14267681242632902152177306366085252051103423473492844666433028856134586465350584189623177369224854829
  ( 101 digits)
Divisors found:
 r1=410088344293830932028617665624544383991341829 (pp45)
 r2=34791725834592404126743198643481717824252849248670997001 (pp56)
Version: GGNFS-0.77.1
Total time: 11.78 hours.
Scaled time: 7.86 units (timescale=0.667).
Factorization parameters were as follows:
name: 33833_70
n: 14267681242632902152177306366085252051103423473492844666433028856134586465350584189623177369224854829
skew: 4550.09
# norm 2.02e+14
c5: 136620
c4: 2274727068
c3: 6251553728793
c2: 18111130590571063
c1: -117823739326202695257
c0: 77998512955209787799585
# alpha -6.15
Y1: 5724874627
Y0: -10087115709131999442
# Murphy_E 3.11e-09
# M 10545509366654402031879847064245549972665555353600098223002255672948515358606393081821442210908882037
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Sieved special-q in [900000, 1600001)
Relations: rels:4031378, finalFF:410818
Initial matrix: 270514 x 410818 with sparse part having weight 32167846.
Pruned matrix : 227406 x 228822 with weight 10938842.
Polynomial selection time: 0.35 hours.
Total sieving time: 9.81 hours.
Total relation processing time: 0.35 hours.
Matrix solve time: 1.07 hours.
Time per square root: 0.20 hours.
Prototype def-par.txt line would be:
gnfs,100,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 11.78 hours.
 --------- CPU info (if available) ----------

Jun 23, 2005

By Sinkiti Sibata / GGNFS-0.77.1 gnfs

10¹³⁵-4·10⁶⁷-1 = 999999999999999999999999999999999999999999999999999999999999999999959999999999999999999999999999999999999999999999999999999999999999999_<135> = 7 · 199 · 776868191153854013968671748788920791_<36> · C96

C96 = P46 · P51

P46 = 4793208491666876855263351806795609063791229239_<46>

P51 = 192785880758047470136230491036835852228315194280607_<51>

Number: 99599_67
N=924062920722951092337151139218331456487917511128942688202089863029871990343024979764022829068073
  ( 96 digits)
Divisors found:
 r1=4793208491666876855263351806795609063791229239 (pp46)
 r2=192785880758047470136230491036835852228315194280607 (pp51)
Version: GGNFS-0.77.1
Total time: 16.97 hours.
Scaled time: 10.11 units (timescale=0.596).
Factorization parameters were as follows:
name: 99599_67
n:  924062920722951092337151139218331456487917511128942688202089863029871990343024979764022829068073
m:  12476103279229687596272
deg: 4
c4: 38140440
c3: 19204245495
c2: 1110840043842648582
c1: -1228880260873486718
c0: -1807720023387482217793719
skew: 1635.250
type: gnfs
# adj. I(F,S) = 55.250
# E(F1,F2) = 1.827654e-05
# GGNFS version 0.77.1 polyselect.
# Options were: 
# lcd=1, enumLCD=24, maxS1=60.00000000, seed=1119393583.
# maxskew=2000.0
# These parameters should be manually set:
rlim: 1200000
alim: 1200000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.4
alambda: 2.4
qintsize: 60000

type: gnfs
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [600000, 1920001)
Relations: rels:2029757, finalFF:208466
Initial matrix: 185873 x 208466 with sparse part having weight 21798430.
Pruned matrix : 180086 x 181079 with weight 16867637.
Polynomial selection time: 0.17 hours.
Total sieving time: 15.16 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 1.26 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
gnfs,95,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1200000,1200000,25,25,45,45,2.4,2.4,60000
total time: 16.97 hours.
 --------- CPU info (if available) ----------

Jun 22, 2005 (3rd)

By Samuel Chong / GMP-ECM 6.0.1

(10¹⁶⁵+17)/9 = (1)₁₆₄3_<165> = C165

C165 = P39 · P42 · P85

P39 = 392969699434825172058725656086390773767_<39>

P42 = 111993188756365886853577743582861876119213_<42>

P85 = 2524682766072869954796262839242693272891413803764401705446617232172532105793639005003_<85>

Jun 22, 2005 (2nd)

By Sinkiti Sibata / GGNFS-0.77.1 gnfs

(10¹⁵¹+63·10⁷⁵-1)/9 = 1111111111111111111111111111111111111111111111111111111111111111111111111118111111111111111111111111111111111111111111111111111111111111111111111111111_<151> = 317 · 226621 · 544031 · 66083711 · 21179257669_<11> · 3209121692237716133_<19> · C100

C100 = P40 · P61

P40 = 4275012957575822946139264624771833515353_<40>

P61 = 1480626951383711539346468832225704939396997616241389872569663_<61>

Number: 11811_75
N=6329699402501354882735536081773742734114882424106313872387063047939192886925373223865767700672536039
  ( 100 digits)
Divisors found:
 r1=4275012957575822946139264624771833515353 (pp40)
 r2=1480626951383711539346468832225704939396997616241389872569663 (pp61)
Version: GGNFS-0.77.1
Total time: 10.51 hours.
Scaled time: 7.00 units (timescale=0.666).
Factorization parameters were as follows:
name: 11811_75
n: 6329699402501354882735536081773742734114882424106313872387063047939192886925373223865767700672536039
skew: 14052.57
# norm 8.35e+13
c5: 11760
c4: -18831542
c3: -8407661837023
c2: 27703402906256100
c1: 648695911680263659976
c0: 1428862511036605250637360
# alpha -5.79
Y1: 4538224819
Y0: -14002165221965969653
# Murphy_E 3.34e-09
# M 6163038367697848901014003635137676956818102186607531755848034578477748423578243747962055261019178131
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Sieved special-q in [900000, 1500001)
Relations: rels:4192995, finalFF:499837
Initial matrix: 270060 x 499837 with sparse part having weight 37923867.
Pruned matrix : 199682 x 201096 with weight 8631624.
Total sieving time: 9.21 hours.
Total relation processing time: 0.33 hours.
Matrix solve time: 0.80 hours.
Time per square root: 0.18 hours.
Prototype def-par.txt line would be:
gnfs,99,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 10.51 hours.
 --------- CPU info (if available) ----------

Jun 22, 2005

By Kenichiro Yamaguchi / GGNFS-0.77.1, GGNFS-0.77.0, GMP-ECM 6.0, msieve 0.88

(10¹³⁵+27·10⁶⁷-1)/9 = 111111111111111111111111111111111111111111111111111111111111111111141111111111111111111111111111111111111111111111111111111111111111111_<135> = 3 · 43 · 47 · 1129 · 332518649210987_<15> · C113

C113 = P39 · P75

P39 = 331592363289251899675730190676028301829_<39>

P75 = 147216148957514532570301830992508374412275270603655466615305118535416845991_<75>

Number: 11411_67
N=48815750747164781210733193033741522989460097994089613327715561193663369421731621664134355683888570277934956617539
  ( 113 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=331592363289251899675730190676028301829 (pp39)
 r2=147216148957514532570301830992508374412275270603655466615305118535416845991 (pp75)
Version: GGNFS-0.77.1
Total time: 34.19 hours.
Scaled time: 17.50 units (timescale=0.512).
Factorization parameters were as follows:
n: 48815750747164781210733193033741522989460097994089613327715561193663369421731621664134355683888570277934956617539 
m: 10000000000000000000000000000000000
c4: 1
c2: 27
c0: -10
skew: 1
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 3925001)
Relations: rels:1740943, finalFF:163904
Initial matrix: 142455 x 163904 with sparse part having weight 20477588.
Pruned matrix : 140378 x 141154 with weight 15960162.
Total sieving time: 33.37 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.68 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,136,4,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 34.19 hours.
 --------- CPU info (if available) ----------

(10¹³⁹+27·10⁶⁹-1)/9 = 1111111111111111111111111111111111111111111111111111111111111111111114111111111111111111111111111111111111111111111111111111111111111111111_<139> = 19 · 193 · C135

C135 = P51 · P84

P51 = 458969205309706883462311407189939442568908790037727_<51>

P84 = 660181018289950526503265195915261314434343241524003356600318014477235944992007303779_<84>

Number: 11411_69
N=303002757325091658334090840226646062479168560433899948489531254734418901312001939217646880586613338181377450534799866678786776959670333
  ( 135 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=458969205309706883462311407189939442568908790037727 (pp51)
 r2=660181018289950526503265195915261314434343241524003356600318014477235944992007303779 (pp84)
Version: GGNFS-0.77.0
Total time: 105.88 hours.
Scaled time: 70.31 units (timescale=0.664).
Factorization parameters were as follows:
n: 303002757325091658334090840226646062479168560433899948489531254734418901312001939217646880586613338181377450534799866678786776959670333
m: 100000000000000000000000000000000000
c4: 1
c2: 27
c0: -10
skew: 1
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 13600001)
Relations: rels:2781306, finalFF:160760
Initial matrix: 142455 x 160760 with sparse part having weight 24151731.
Pruned matrix : 141051 x 141827 with weight 20142129.
Total sieving time: 104.11 hours.
Total relation processing time: 1.28 hours.
Matrix solve time: 0.43 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,140,4,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 105.88 hours.
 --------- CPU info (if available) ----------

(10¹⁴⁵+63·10⁷²-1)/9 = 1111111111111111111111111111111111111111111111111111111111111111111111118111111111111111111111111111111111111111111111111111111111111111111111111_<145> = 29² · 27594667 · 31879662713_<11> · 2049991686221_<13> · C111

C111 = P30 · P41 · P42

P30 = 172611700167822112088799043051_<30>

P41 = 11930586995803733710783320728974898140249_<41>

P42 = 355744731831617320345646967221453595047219_<42>

Jun 21, 2005

By Sinkiti Sibata / GGNFS-0.77.1 gnfs

10¹⁴⁷-2·10⁷³-1 = 999999999999999999999999999999999999999999999999999999999999999999999999979999999999999999999999999999999999999999999999999999999999999999999999999_<147> = 11 · 79 · 5413 · 624835533695896517_<18> · 364226024782606601290393_<24> · C99

C99 = P45 · P55

P45 = 469193742913951833708341512136612121140630107_<45>

P55 = 1990917625212558203593236322683252097549924778395642201_<55>

Number: 99799_73
N=934126092406836543261982582105796335015126432024245162073851432590364960820851929663448772060345507
  ( 99 digits)
Divisors found:
 r1=469193742913951833708341512136612121140630107 (pp45)
 r2=1990917625212558203593236322683252097549924778395642201 (pp55)
Version: GGNFS-0.77.1
Total time: 21.34 hours.
Scaled time: 12.72 units (timescale=0.596).
Factorization parameters were as follows:
name: 99799_73
n:  934126092406836543261982582105796335015126432024245162073851432590364960820851929663448772060345507
m:  2625189263492199113
deg: 5
c5: 7492080
c4: 1337515694
c3: -220253052859479
c2: -32970669423909232
c1: 18849870306766471780
c0: 465432639242354972464
skew: 107.623
type: gnfs
# adj. I(F,S) = 46.631
# E(F1,F2) = 2.310504e-03
# GGNFS version 0.77.1 polyselect.
# Options were: 
# lcd=1, enumLCD=24, maxS1=58.00000000, seed=1119252564.
# maxskew=1500.0
# These parameters should be manually set:
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000

type: gnfs
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Sieved special-q in [900000, 2200001)
Relations: rels:4011223, finalFF:329970
Initial matrix: 270323 x 329970 with sparse part having weight 31478392.
Pruned matrix : 251943 x 253358 with weight 18834109.
Polynomial selection time: 0.57 hours.
Total sieving time: 18.11 hours.
Total relation processing time: 0.55 hours.
Matrix solve time: 1.89 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
gnfs,98,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 21.34 hours.
 --------- CPU info (if available) ----------

Jun 20, 2005

By Sinkiti Sibata / GGNFS-0.77.1

10¹⁴⁵-2·10⁷²-1 = 9999999999999999999999999999999999999999999999999999999999999999999999997999999999999999999999999999999999999999999999999999999999999999999999999_<145>= 7² · 43 · C142

C142 = P33 · P110

P33 = 333494405578599951508082591758373_<33>

P110 = 14231376601563902084598105879773330680524057902968345305670008783724452852536115763742510732038567091916804809_<110>

Number: 979_72
N=4746084480303749406739439962031324157570004746084480303749406739439962030374940673943996203132415757000474608448030374940673943996203132415757
  ( 142 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=333494405578599951508082591758373 (pp33)
 r2=14231376601563902084598105879773330680524057902968345305670008783724452852536115763742510732038567091916804809 (pp110)
Version: GGNFS-0.77.1
Total time: 133.37 hours.
Scaled time: 88.83 units (timescale=0.666).
Factorization parameters were as follows:
name: 979_72
n: 474608448030374940673943996203132415757000474608448030374940673943996203037494067394399620313241575700047460844803037494067394399620
3132415757
m: 1000000000000000000000000000000000000
c4: 10
c2: -2
c0: -1
skew: 2
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Sieved special-q in [650000, 16150001)
Relations: rels:4671165, finalFF:224076
Initial matrix: 199802 x 224076 with sparse part having weight 35215044.
Pruned matrix : 196560 x 197623 with weight 29642185.
Total sieving time: 129.03 hours.
Total relation processing time: 1.88 hours.
Matrix solve time: 2.39 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,145,4,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 133.37 hours.
 --------- CPU info (if available) ----------

Jun 19, 2005 (2nd)

By Kenichiro Yamaguchi / GGNFS-0.77.1

10¹³³-4·10⁶⁶-1 = 9999999999999999999999999999999999999999999999999999999999999999995999999999999999999999999999999999999999999999999999999999999999999_<133> = 31 · 137 · 7487097543124525709_<19> · C111

C111 = P40 · P71

P40 = 8115887942020483700339664052724822716727_<40>

P71 = 38749687619167420472280512971306132884586542208501397825133375024471019_<71>

Number: 99599_66
N=314488122505461292879671976094673380968666017980658029490893650491710086845199482260127907636464602097658034813
  ( 111 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=8115887942020483700339664052724822716727 (pp40)
 r2=38749687619167420472280512971306132884586542208501397825133375024471019 (pp71)
Version: GGNFS-0.77.1
Total time: 17.31 hours.
Scaled time: 8.92 units (timescale=0.515).
Factorization parameters were as follows:
n: 314488122505461292879671976094673380968666017980658029490893650491710086845199482260127907636464602097658034813 
m: 1000000000000000000000000000000000
c4: 10
c2: -4 
c0: -1
skew: 1
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 2200001)
Relations: rels:1525062, finalFF:153120
Initial matrix: 127839 x 153120 with sparse part having weight 17151520.
Pruned matrix : 125304 x 126007 with weight 12135532.
Total sieving time: 16.78 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.42 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,133,4,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 17.31 hours.
 --------- CPU info (if available) ----------

Jun 19, 2005

jasonp's SIQS implementation msieve 1.0 was released.

Quadratic Sieve Source Code (jasonp)

Jun 18, 2005 (3rd)

By Kenichiro Yamaguchi / GGNFS-0.77.1

10¹³³-5·10⁶⁶-1 = 9999999999999999999999999999999999999999999999999999999999999999994999999999999999999999999999999999999999999999999999999999999999999_<133> = 47 · 73 · 829 · 6761 · 50506030969_<11> · C113

C113 = P51 · P62

P51 = 131323299422472148930024532895341746762555988587153_<51>

P62 = 78402297452355609333372855409892683866758653385085863058626413_<62>

Number: 99499_66
N=10296048383745421024561376170444650610292091750811585702005887128202389975444353604023827357653984040572718272189
  ( 113 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=131323299422472148930024532895341746762555988587153 (pp51)
 r2=78402297452355609333372855409892683866758653385085863058626413 (pp62)
Version: GGNFS-0.77.1
Total time: 18.98 hours.
Scaled time: 10.04 units (timescale=0.529).
Factorization parameters were as follows:
n: 10296048383745421024561376170444650610292091750811585702005887128202389975444353604023827357653984040572718272189 
m: 1000000000000000000000000000000000
c4: 10
c2: -5 
c0: -1
skew: 1
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 2450001)
Relations: rels:1564415, finalFF:146100
Initial matrix: 127969 x 146100 with sparse part having weight 17258837.
Pruned matrix : 126104 x 126807 with weight 13491526.
Total sieving time: 18.42 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.46 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,133,4,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 18.98 hours.
 --------- CPU info (if available) ----------

Jun 18, 2005 (2nd)

By Kenichiro Yamaguchi / GMP-ECM 6.0

(10¹⁵¹-6·10⁷⁵-1)/3 = 3333333333333333333333333333333333333333333333333333333333333333333333333331333333333333333333333333333333333333333333333333333333333333333333333333333_<151>= 3411719 · 1367564468672449529_<19> · C126

C126 = P30 · P97

P30 = 136186205419691511152381762567_<30>

P97 = 5245955029205056738452064982416906027584911995774032103739413097905785105699345110067479580185549_<97>

Jun 18, 2005

By Kenichiro Yamaguchi / GGNFS-0.77.1

(10¹³³+45·10⁶⁶-1)/9 = 1111111111111111111111111111111111111111111111111111111111111111116111111111111111111111111111111111111111111111111111111111111111111_<133> = 3 · 17 · 1741 · 121843 · 206197 · 93151601 · C109

C109 = P38 · P71

P38 = 82126757743495966723850217964403708639_<38>

P71 = 65107439502914542128868047516770487220133623571504393789439718324411409_<71>

Number: 11611_66
N=5347062911355182067317850414313628272751587444555896181283436861210857551786593304439312027915642766403462351
  ( 109 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=82126757743495966723850217964403708639 (pp38)
 r2=65107439502914542128868047516770487220133623571504393789439718324411409 (pp71)
Version: GGNFS-0.77.1
Total time: 26.69 hours.
Scaled time: 13.05 units (timescale=0.489).
Factorization parameters were as follows:
n: 5347062911355182067317850414313628272751587444555896181283436861210857551786593304439312027915642766403462351 
m: 1000000000000000000000000000000000
c4: 10
c2: 45 
c0: -1
skew: 1
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 3250001)
Relations: rels:1741242, finalFF:145760
Initial matrix: 128105 x 145760 with sparse part having weight 19065191.
Pruned matrix : 126315 x 127019 with weight 15293701.
Total sieving time: 25.69 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.83 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,133,4,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 26.69 hours.
 --------- CPU info (if available) ----------

(10¹³³+63·10⁶⁶-1)/9 = 1111111111111111111111111111111111111111111111111111111111111111118111111111111111111111111111111111111111111111111111111111111111111_<133> = 197759 · C127

C127 = P36 · P92

P36 = 396019314659061651581554906203926729_<36>

P92 = 14187467032567588459817376264714088126285697525200698406889689033176784521761952527073842801_<92>

Number: 11811_66
N=5618510970985447494734050592443889335560511082231964720245910988213487685066728245546908667171208951861159851693784409868127929
  ( 127 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=396019314659061651581554906203926729 (pp36)
 r2=14187467032567588459817376264714088126285697525200698406889689033176784521761952527073842801 (pp92)
Version: GGNFS-0.77.1
Total time: 22.79 hours.
Scaled time: 11.40 units (timescale=0.500).
Factorization parameters were as follows:
n: 5618510970985447494734050592443889335560511082231964720245910988213487685066728245546908667171208951861159851693784409868127929 
m: 1000000000000000000000000000000000
c4: 10
c2: 63
c0: -1
skew: 1
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 2900001)
Relations: rels:1670903, finalFF:149663
Initial matrix: 127595 x 149663 with sparse part having weight 18686273.
Pruned matrix : 125471 x 126172 with weight 14133399.
Total sieving time: 21.90 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.77 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,133,4,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 22.79 hours.
 --------- CPU info (if available) ----------

(10¹³³+6·10⁶⁶-1)/3 = 3333333333333333333333333333333333333333333333333333333333333333335333333333333333333333333333333333333333333333333333333333333333333_<133> = 2347 · 3299 · 665236259 · 4857693449317_<13> · C105

C105 = P45 · P60

P45 = 382754370924383984959075115125158011950131091_<45>

P60 = 348062442898497241099906585776506243077787356301089086819257_<60>

Number: 33533_66
N=133222421374018633445036267132297777880987508567292617948187809460625006845713817438019021165601373219387
  ( 105 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=382754370924383984959075115125158011950131091 (pp45)
 r2=348062442898497241099906585776506243077787356301089086819257 (pp60)
Version: GGNFS-0.77.1
Total time: 19.51 hours.
Scaled time: 9.33 units (timescale=0.478).
Factorization parameters were as follows:
n: 133222421374018633445036267132297777880987508567292617948187809460625006845713817438019021165601373219387 
m: 1000000000000000000000000000000000
c4: 10
c2: 6
c0: -1
skew: 1
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 2500001)
Relations: rels:1586273, finalFF:146265
Initial matrix: 127609 x 146265 with sparse part having weight 17690356.
Pruned matrix : 125447 x 126149 with weight 13804026.
Total sieving time: 18.63 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.77 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,133,4,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 19.51 hours.
 --------- CPU info (if available) ----------

Jun 16, 2005

By Wataru Sakai / GMP-ECM 6.0.1

(64·10²¹⁸+53)/9 = 7(1)₂₁₇7_<219> = 3 · 97 · 1189063 · C211

C211 = P36 · P176

P36 = 147855171751831253349724806756031159_<36>

P176 = 13899625209206719452266689137337415260247158225314828795695264116500577538568280157205216813917164312242868729226115248983024299005746787654425475727273955434558847898710484111_<176>

Jun 15, 2005 (2nd)

By Makoto Kamada / GGNFS-0.77.1 gnfs

(10¹⁵¹+15·10⁷⁵-1)/3 = 3333333333333333333333333333333333333333333333333333333333333333333333333338333333333333333333333333333333333333333333333333333333333333333333333333333_<151> = 12309198275401_<14> · 172106671835554626673000063095659_<33> · C106

C106 = P33 · P73

P33 = 180796577788983913476033549582953_<33>

P73 = 8702841337317158145154140979945685450708672292591206796298372882756012079_<73>

Number: 33833_75
N=1573443930827446372689026635213482110463063784004453956533964342474724679041538499190915825174503880489287
  ( 106 digits)
Divisors found:
 r1=180796577788983913476033549582953 (pp33)
 r2=8702841337317158145154140979945685450708672292591206796298372882756012079 (pp73)
Version: GGNFS-0.77.1
Total time: 14.00 hours.
Scaled time: 12.03 units (timescale=0.859).
Factorization parameters were as follows:
name: 33833_75
n: 1573443930827446372689026635213482110463063784004453956533964342474724679041538499190915825174503880489287
skew: 26835.40
# norm 8.84e+14
c5: 32400
c4: 545718690
c3: -59957662137174
c2: 177053209068922201
c1: 21457461955680775036278
c0: -117977289162991443359241340
# alpha -6.86
Y1: 208093605929
Y0: -137169966717657942903
# Murphy_E 1.74e-09
# M 1099431901685208804753203883261783164596230715929709106406232058505912280650126081584776517850710123787560
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Sieved special-q in [1250000, 2150001)
Relations: rels:4402773, finalFF:444850
Initial matrix: 366823 x 444850 with sparse part having weight 31071633.
Pruned matrix : 331769 x 333667 with weight 16381417.
Polynomial selection time: 0.50 hours.
Total sieving time: 10.83 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 2.28 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
gnfs,105,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 14.00 hours.
 --------- CPU info (if available) ----------

Jun 15, 2005

By Kenichiro Yamaguchi / GGNFS-0.77.1, GGNFS-0.77.0, GMP-ECM 6.0

(10¹³³+18·10⁶⁶-1)/9 = 1111111111111111111111111111111111111111111111111111111111111111113111111111111111111111111111111111111111111111111111111111111111111_<133> = 3³ · 11939 · 26523766451086123_<17> · C111

C111 = P37 · P74

P37 = 9334726029996629638747991841927534061_<37>

P74 = 13921595242630642337527890331543853920769032729565157899809032183338983129_<74>

Number: 11311_66
N=129954277490461501898569740299982637721262154720309083556129626220110992716308982330303455565220754050251856869
  ( 111 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=9334726029996629638747991841927534061 (pp37)
 r2=13921595242630642337527890331543853920769032729565157899809032183338983129 (pp74)
Version: GGNFS-0.77.1
Total time: 18.64 hours.
Scaled time: 8.91 units (timescale=0.478).
Factorization parameters were as follows:
n: 129954277490461501898569740299982637721262154720309083556129626220110992716308982330303455565220754050251856869 
m: 1000000000000000000000000000000000
c4: 10
c2: 18
c0: -1
skew: 1
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 400000)
Relations: rels:1534758, finalFF:145793
Initial matrix: 127704 x 145793 with sparse part having weight 16630836.
Pruned matrix : 125843 x 126545 with weight 12930014.
Total sieving time: 17.79 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.73 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,133,4,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 18.64 hours.
 --------- CPU info (if available) ----------

10¹⁴¹-5·10⁷⁰-1 = 999999999999999999999999999999999999999999999999999999999999999999999949999999999999999999999999999999999999999999999999999999999999999999999_<141> = 94199759 · C134

C134 = P62 · P72

P62 = 45991197802202921691212410956857205150918173681404816125050149_<62>

P72 = 230821090102296748368286382776743795682256488181171518047153819469404989_<72>

Number: 99499_70
N=10615738411814832774678330121842456093757097616353774323350445089779900073842014818742795297384996494523940342564995309595218815793361
  ( 134 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=45991197802202921691212410956857205150918173681404816125050149 (pp62)
 r2=230821090102296748368286382776743795682256488181171518047153819469404989 (pp72)
Version: GGNFS-0.77.0
Total time: 49.67 hours.
Scaled time: 33.08 units (timescale=0.666).
Factorization parameters were as follows:
n: 10615738411814832774678330121842456093757097616353774323350445089779900073842014818742795297384996494523940342564995309595218815793361 
type: snfs
m:  100000000000000000000000000000000000
c4: 10
c2: -5
c0: -1
skew: 1
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Sieved special-q in [650000, 5850001)
Relations: rels:3120132, finalFF:235006
Initial matrix: 200325 x 235006 with sparse part having weight 32657448.
Pruned matrix : 196328 x 197393 with weight 24975412.
Total sieving time: 48.48 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 0.97 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,141,4,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 49.67 hours.
 --------- CPU info (if available) ----------

C138 = P33 · C106

P33 = 172106671835554626673000063095659_<33>

C106 = [1573443930827446372689026635213482110463063784004453956533964342474724679041538499190915825174503880489287_<106>]

Jun 14, 2005 (2nd)

By Patrick Keller / GMP-ECM

10¹⁶⁰-3 = (9)₁₅₉7_<160> = 13 · 383 · C157

C157 = P35 · C122

P35 = 52771123082243438120761219452533939_<35>

C122 = [38059364885428552053660274073288904257094149099533297652419641952424130876827819709343439432012909374053370298093233227637_<122>]

Jun 14, 2005

By Kenichiro Yamaguchi / GGNFS-0.77.0

(10¹³¹+72·10⁶⁵-1)/9 = 11111111111111111111111111111111111111111111111111111111111111111911111111111111111111111111111111111111111111111111111111111111111_<131> = 7 · 43 · 4954121 · 85469737850611_<14> · C107

C107 = P34 · P74

P34 = 1230727592846495882729200715541547_<34>

P74 = 70835355177759964699490320620695881186959903046346813983743027104356745723_<74>

Jun 13, 2005 (2nd)

By Sinkiti Sibata / GGNFS-0.77.1

10¹⁴³-2·10⁷¹-1 = 99999999999999999999999999999999999999999999999999999999999999999999999799999999999999999999999999999999999999999999999999999999999999999999999_<143> = 11 · 3420316723_<10> · 2689592284789_<13> · 388813191244537_<15> · C106

C106 = P44 · P62

P44 = 35851493023476203089118525408940305117995409_<44>

P62 = 70893481324272999965729006376984212264740636943886258399324859_<62>

Number: 979_71
N=2541637151107113953623598003361310381710168418705511140128203704600780699595071560156063742850017061572331
  ( 106 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=35851493023476203089118525408940305117995409 (pp44)
 r2=70893481324272999965729006376984212264740636943886258399324859 (pp62)
Version: GGNFS-0.77.1
Total time: 134.64 hours.
Scaled time: 89.54 units (timescale=0.665).
Factorization parameters were as follows:
name: 979_71
n: 2541637151107113953623598003361310381710168418705511140128203704600780699595071560156063742850017061572331
m: 1000000000000000000000000000000000000
c4: 1
c2: -2
c0: -10
skew: 2
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Sieved special-q in [650000, 16350001)
Relations: rels:4721621, finalFF:224199
Initial matrix: 199561 x 224199 with sparse part having weight 35297191.
Pruned matrix : 196371 x 197432 with weight 29645821.
Total sieving time: 129.63 hours.
Total relation processing time: 2.58 hours.
Matrix solve time: 2.37 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,144,4,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 134.64 hours.
 --------- CPU info (if available) ----------

Jun 13, 2005

By Wataru Sakai / GMP-ECM 6.0.1

(64·10²⁰²+53)/9 = 7(1)₂₀₁7_<203> = 19 · 31 · 818287 · 5871400771_<10> · 42012020311282391_<17> · C168

C168 = P45 · P124

P45 = 414262356522265732594185716792549665295299883_<45>

P124 = 1443862225455375214388574781017889982382760095348505921318244823845160256575391921560376858209721365591185744334089652279113_<124>

Jun 12, 2005

By Kenichiro Yamaguchi / GGNFS-0.77.0

(7·10¹³¹-9·10⁶⁵-7)/9 = 77777777777777777777777777777777777777777777777777777777777777777677777777777777777777777777777777777777777777777777777777777777777_<131> = 23430181 · 74475769173523_<14> · C110

C110 = P39 · P72

P39 = 281478789560806858905657716699014710967_<39>

P72 = 158350418321298062938651182777170100239832005553412269462756155532807337_<72>

Jun 11, 2005 (2nd)

By Patrick Keller / GMP-ECM

10¹⁸⁸-3 = (9)₁₈₇7_<188> = 330546084791304846847511_<24> · C165

C165 = P34 · C131

P34 = 3562247528919238271756225579280817_<34>

C131 = [84926629533934787347098461076879779993835578096771335069286037224593611629072092542412229917972168238434939842601618598076985764731_<131>]

10¹⁷³-3 = (9)₁₇₂7_<173> = 379 · 443 · 587 · 15166668857_<11> · 47348365966898498973654947_<26> · C130

C130 = P32 · P98

P32 = 35007558660244164081437512887499_<32>

P98 = 40361001768340277480175803085457851847516030385154257084426979718995820425855241290021507034719463_<98>

10¹⁷⁶-3 = (9)₁₇₅7_<176> = 1630871011403_<13> · 274954356330508669_<18> · C147

C147 = P34 · C113

P34 = 6165326947505579813146109111140967_<34>

C113 = [36171262684763804729310148527389239248018395875233064507433824238903582995595207747275554709544383072041835224613_<113>]

Jun 11, 2005

By Kenichiro Yamaguchi / GGNFS-0.77.0

10¹²⁹-8·10⁶⁴-1 = 999999999999999999999999999999999999999999999999999999999999999919999999999999999999999999999999999999999999999999999999999999999_<129> = 13 · 355137916961_<12> · 8620582561926197_<16> · C101

C101 = P47 · P55

P47 = 17394065538852265094936421036067329135787440209_<47>

P55 = 1444514437885723676563046033646529294763844095412943391_<55>

Number: 99199_64
N=25125978804402617019237644455161878627703533121609959064723179872696218764222048022455380870114208719
  ( 101 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=17394065538852265094936421036067329135787440209 (pp47)
 r2=1444514437885723676563046033646529294763844095412943391 (pp55)
Version: GGNFS-0.77.0
Total time: 9.29 hours.
Scaled time: 4.31 units (timescale=0.464).
Factorization parameters were as follows:
n: 25125978804402617019237644455161878627703533121609959064723179872696218764222048022455380870114208719 
m: 100000000000000000000000000000000
c4: 10
c2: -8
c0: -1
skew: 1
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 1300001)
Relations: rels:1343062, finalFF:146400
Initial matrix: 127676 x 146400 with sparse part having weight 11815575.
Pruned matrix : 125060 x 125762 with weight 8495459.
Total sieving time: 8.79 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.41 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,129,4,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 9.29 hours.
 --------- CPU info (if available) ----------

(10¹³¹+36·10⁶⁵-1)/9 = 11111111111111111111111111111111111111111111111111111111111111111511111111111111111111111111111111111111111111111111111111111111111_<131> = 3³ · 35822616597460223_<17> · C113

C113 = P34 · P39 · P40

P34 = 3463774676480380599377313037027121_<34>

P39 = 447944509182035286828280572358113016049_<39>

P40 = 7403934554416997775323358565782275753179_<40>

Number: 11511_65
N=11487788241968689340130776832134924441428019779863485243117750832304657883327884605483628835179286604237872959291
  ( 113 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=3463774676480380599377313037027121 (pp34)
 r2=447944509182035286828280572358113016049 (pp39)
 r3=7403934554416997775323358565782275753179 (pp40)
Version: GGNFS-0.77.0
Total time: 29.88 hours.
Scaled time: 13.77 units (timescale=0.461).
Factorization parameters were as follows:
n: 11487788241968689340130776832134924441428019779863485243117750832304657883327884605483628835179286604237872959291 
m: 1000000000000000000000000000000000
c4: 1
c2: 36
c0: -10
skew: 1
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 3550001)
Relations: rels:1820801, finalFF:147499
Initial matrix: 128035 x 147499 with sparse part having weight 19613667.
Pruned matrix : 126086 x 126790 with weight 15472562.
Total sieving time: 28.95 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.77 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,132,4,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 29.88 hours.
 --------- CPU info (if available) ----------

(10¹⁴¹+12·10⁷⁰-1)/3 = 333333333333333333333333333333333333333333333333333333333333333333333373333333333333333333333333333333333333333333333333333333333333333333333_<141> = C141

C141 = P42 · P100

P42 = 200311877610642489279530769709399194453521_<42>

P100 = 1664071733086403198656808450987068467724401913778352054621573899139316031505755175689630352671770373_<100>

Number: 33733_70
N=333333333333333333333333333333333333333333333333333333333333333333333373333333333333333333333333333333333333333333333333333333333333333333333
  ( 141 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=200311877610642489279530769709399194453521 (pp42)
 r2=1664071733086403198656808450987068467724401913778352054621573899139316031505755175689630352671770373 (pp100)
Version: GGNFS-0.77.0
Total time: 46.04 hours.
Scaled time: 30.66 units (timescale=0.666).
Factorization parameters were as follows:
n: 333333333333333333333333333333333333333333333333333333333333333333333373333333333333333333333333333333333333333333333333333333333333333333333 
type: snfs
m:  100000000000000000000000000000000000
c4: 10
c2: 12
c0: -1
skew: 1
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Sieved special-q in [650000, 5350001)
Relations: rels:3024687, finalFF:237683
Initial matrix: 199722 x 237683 with sparse part having weight 32230331.
Pruned matrix : 195415 x 196477 with weight 23977961.
Total sieving time: 44.88 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 0.94 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,141,4,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 46.04 hours.
 --------- CPU info (if available) ----------

Jun 9, 2005 (3rd)

By Patrick Keller / GMP-ECM

10¹⁹⁶-3 = (9)₁₉₅7_<196> = 13 · 23 · 769 · 13230939634531520926993_<23> · C169

C169 = P30 · C139

P30 = 925002610176773043912732992351_<30>

C139 = [3553602327402028893556119121731169668177136744575884432068937264628665391192256931521572516434709261481036470145815539584064245135671768409_<139>]

10¹⁸⁴-3 = (9)₁₈₃7_<184> = 13² · 71 · 682781111 · 21237789308365515286691_<23> · C149

C149 = P29 · P32 · P89

P29 = 59850981433891272224551448459_<29>

P32 = 35526514573141366935363086929873_<32>

P89 = 27029640058852148978865133701306270767865770018364227207516059812926505552026723332704229_<89>

10¹⁸⁶-3 = (9)₁₈₅7_<186> = C186

C186 = P31 · C156

P31 = 2794375354729699423195302414791_<31>

C156 = [357861730460591695334295972163707008646716815727382711793133213691689104359175453265821274899204460799312954283262817577846710943629938175631885534582999067_<156>]

10¹⁶⁵-3 = (9)₁₆₄7_<165> = 431 · 56725169383_<11> · C152

C152 = P31 · P121

P31 = 6697081516361988272236718453873_<31>

P121 = 6107470012775150366829754092015054516474407019707159078145089779525145974239872649362120407931411527628863447502994173893_<121>

Jun 9, 2005 (2nd)

By Patrick Keller / GMP-ECM

10¹⁹⁰-3 = (9)₁₈₉7_<190> = 13 · 83 · 4643 · 60176382186443_<14> · 24247727135706472746493_<23> · 15856958895942670619463887_<26> · C122

C122 = P29 · P94

P29 = 33133578244863317770306493209_<29>

P94 = 2603721449712924915210778259443446461003757003516119146794621306240164054740371466779177155953_<94>

10¹⁷⁰-3 = (9)₁₆₉7_<170> = C170

C170 = P29 · C142

P29 = 38817280012777264790994290797_<29>

C142 = [2576172260577855142848298542798072596718901873646661264007524216056015115292366099141617460574776708224208202201460542857840458968464605723601_<142>]

10¹⁹²-3 = (9)₁₉₁7_<192> = 3373 · 1103279 · 30864312787215673925304239_<26> · C157

C157 = P33 · C125

P33 = 728214226699773901950646153594957_<33>

C125 = [11955907219789388090396927468596102846705760576688639467787460136053127454112956393569754103555054189544180606793438498318517_<125>]

Jun 9, 2005

By Kenichiro Yamaguchi / GGNFS-0.77.0

(7·10¹²⁹-36·10⁶⁴-7)/9 = 777777777777777777777777777777777777777777777777777777777777777737777777777777777777777777777777777777777777777777777777777777777_<129> = 19 · 1511 · 9605209 · C118

C118 = P52 · P67

P52 = 1155085458264857585266897235557737528591882771994781_<52>

P67 = 2441836210773539912784657450229065206157326950101786073984835385257_<67>

Number: 77377_64
N=2820529498529077726842896203812445693193396455368434647369401615489798725369725785914995995923727056965474236528343717
  ( 118 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=1155085458264857585266897235557737528591882771994781 (pp52)
 r2=2441836210773539912784657450229065206157326950101786073984835385257 (pp67)
Version: GGNFS-0.77.0
Total time: 12.67 hours.
Scaled time: 5.87 units (timescale=0.463).
Factorization parameters were as follows:
n: 2820529498529077726842896203812445693193396455368434647369401615489798725369725785914995995923727056965474236528343717 
m: 100000000000000000000000000000000
c4: 70
c2: -36
c0: -7
skew: 1
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 1650001)
Relations: rels:1425379, finalFF:147524
Initial matrix: 128326 x 147524 with sparse part having weight 14352688.
Pruned matrix : 125920 x 126625 with weight 10649810.
Total sieving time: 12.04 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.52 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,129,4,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 12.67 hours.
 --------- CPU info (if available) ----------

(7·10¹²⁹+9·10⁶⁴-7)/9 = 777777777777777777777777777777777777777777777777777777777777777787777777777777777777777777777777777777777777777777777777777777777_<129> = 13 · 199 · 47527 · 23171657182230449_<17> · C105

C105 = P38 · P67

P38 = 37119386704565155173903619705798504661_<38>

P67 = 7354629739257217030665179729307139819782167801514595066178110388257_<67>

Number: 77877_64
N=272999345360383835733402078463522430412780573580465174510215546558101877901304328609826050405380734165877
  ( 105 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=37119386704565155173903619705798504661 (pp38)
 r2=7354629739257217030665179729307139819782167801514595066178110388257 (pp67)
Version: GGNFS-0.77.0
Total time: 11.30 hours.
Scaled time: 5.20 units (timescale=0.460).
Factorization parameters were as follows:
n: 272999345360383835733402078463522430412780573580465174510215546558101877901304328609826050405380734165877
m: 100000000000000000000000000000000
c4: 70
c2: 9
c0: -7
skew: 1
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 1500001)
Relations: rels:1420198, finalFF:158526
Initial matrix: 127529 x 158526 with sparse part having weight 14556171.
Pruned matrix : 124013 x 124714 with weight 9056737.
Total sieving time: 10.76 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.43 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,129,4,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 11.30 hours.
 --------- CPU info (if available) ----------

(7·10¹³⁵-54·10⁶⁷-7)/9 = 777777777777777777777777777777777777777777777777777777777777777777717777777777777777777777777777777777777777777777777777777777777777777_<135> = 3 · C135

C135 = P37 · P98

P37 = 8609335615997087769295147065984241781_<37>

P98 = 30113735928417888896209552856994879338389993563417374885930712104650757947392219012502066601505839_<98>

Number: 77177_67
N=259259259259259259259259259259259259259259259259259259259259259259239259259259259259259259259259259259259259259259259259259259259259259
  ( 135 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=8609335615997087769295147065984241781 (pp37)
 r2=30113735928417888896209552856994879338389993563417374885930712104650757947392219012502066601505839 (pp98)
Version: GGNFS-0.77.0
Total time: 39.03 hours.
Scaled time: 25.96 units (timescale=0.665).
Factorization parameters were as follows:
n: 259259259259259259259259259259259259259259259259259259259259259259239259259259259259259259259259259259259259259259259259259259259259259 
type: snfs
m:  10000000000000000000000000000000000
c4: 7
c2: -54
c0: -70
skew: 1
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 4825001)
Relations: rels:1859071, finalFF:159520
Initial matrix: 142322 x 159520 with sparse part having weight 21080069.
Pruned matrix : 140699 x 141474 with weight 17383565.
Total sieving time: 38.52 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.37 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,136,4,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 39.03 hours.
 --------- CPU info (if available) ----------

Jun 8, 2005 (2nd)

By Patrick De Geest

(23·10³⁵⁴⁶⁰+1)/3 = 7(6)₃₅₄₅₉7_<35461> is PRP.

Jun 8, 2005

By Kenichiro Yamaguchi / GGNFS-0.77.0

(7·10¹²⁷+18·10⁶³-7)/9 = 7777777777777777777777777777777777777777777777777777777777777779777777777777777777777777777777777777777777777777777777777777777_<127> = 3⁴ · 47 · 307 · 479 · C119

C119 = P53 · P66

P53 = 30631312724444235160545468056330338717803991423558901_<53>

P66 = 453558338502367035792988320604203378441041457101622160922749407487_<66>

Number: 77977_63
N=13893087305445341048925261340766454185809264453199872033789614218575666284298934646766277478837935790738765550594891787
  ( 119 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=30631312724444235160545468056330338717803991423558901 (pp53)
 r2=453558338502367035792988320604203378441041457101622160922749407487 (pp66)
Version: GGNFS-0.77.0
Total time: 10.44 hours.
Scaled time: 4.88 units (timescale=0.467).
Factorization parameters were as follows:
n: 13893087305445341048925261340766454185809264453199872033789614218575666284298934646766277478837935790738765550594891787 
m: 100000000000000000000000000000000
c4: 7
c2: 18
c0: -70
skew: 1
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 1400001)
Relations: rels:1368098, finalFF:149950
Initial matrix: 127779 x 149950 with sparse part having weight 12746454.
Pruned matrix : 124860 x 125562 with weight 8766000.
Total sieving time: 9.93 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.41 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,128,4,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 10.44 hours.
 --------- CPU info (if available) ----------

(7·10¹²⁹-54·10⁶⁴-7)/9 = 777777777777777777777777777777777777777777777777777777777777777717777777777777777777777777777777777777777777777777777777777777777_<129> = 3 · 239 · 313 · 1483 · C121

C121 = P51 · P70

P51 = 819258050104320640258922665017523576202239376194061_<51>

P70 2852529660156642180800542536179761829606560163797913118844620621882899_<70>

Number: 77177_64
N=2336957887244671088095507911334083067482589873231609235540989577299026381579397913694934679868703977009259361334241262839
  ( 121 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=819258050104320640258922665017523576202239376194061 (pp51)
 r2=2852529660156642180800542536179761829606560163797913118844620621882899 (pp70)
Version: GGNFS-0.77.0
Total time: 11.35 hours.
Scaled time: 5.27 units (timescale=0.464).
Factorization parameters were as follows:
n: 2336957887244671088095507911334083067482589873231609235540989577299026381579397913694934679868703977009259361334241262839 
m: 100000000000000000000000000000000
c4: 70
c2: -54
c0: -7
skew: 1
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 1500001)
Relations: rels:1399530, finalFF:152818
Initial matrix: 128020 x 152818 with sparse part having weight 13877072.
Pruned matrix : 124879 x 125583 with weight 9359137.
Total sieving time: 10.79 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.45 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,129,4,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 11.35 hours.
 --------- CPU info (if available) ----------

Jun 7, 2005 (2nd)

By Makoto Kamada / GMP-ECM 6.0.1

(55·10¹⁷⁶-1)/9 = 6(1)₁₇₆_<177> = 13² · 229 · 566862379 · 17219215952723_<14> · C151

C151 = P24 · P127

P24 = 779422317838387832571071_<24>

P127 = 2075554531348294889830930553233256268923715932872011145984533488782114391510180113128553636420840720194863555419433818464208973_<127>

Jun 7, 2005

By Wataru Sakai / GMP-ECM 6.0.1

(64·10²³²+53)/9 = 7(1)₂₃₁7_<233> = 29 · 31 · 25544394638150569_<17> · 21891861055037187204902189298063661_<35> · C180

C180 = P37 · C144

P37 = 1156244055915277149927645527883080159_<37>

C144 = [122334784589234392683295194652612149338189319179115868523072772347572950426690801931827228533310815015647306731512386262336087369965447853346893_<144>]

(64·10²²²+53)/9 = 7(1)₂₂₁7_<223> = 13² · 246803 · 4770541 · 13798085473433_<14> · C196

C196 = P33 · C164

P33 = 133768138077661809781256269946047_<33>

C164 = [19362488808251570928408592638883352854542686275616458245323596532144869362459816277922928623970254458332657237249177487701925662754754556973546573906513628028715141_<164>]

Jun 6, 2005 (3rd)

By Kenichiro Yamaguchi / GGNFS-0.77.0

(7·10¹²⁷-45·10⁶³-7)/9 = 7777777777777777777777777777777777777777777777777777777777777772777777777777777777777777777777777777777777777777777777777777777_<127> = 347 · 14879 · C121

C121 = P44 · P77

P44 = 81725313759064580459926606720379788176638261_<44>

P77 = 18432986941378272876589867076688241033356098954517364832256309192034177979689_<77>

Number: 77277_63
N=1506441641300879501519321717334002021257311918017207738539061933947828095295862663483082025510642289255862376828758280829
  ( 121 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=81725313759064580459926606720379788176638261 (pp44)
 r2=18432986941378272876589867076688241033356098954517364832256309192034177979689 (pp77)
Version: GGNFS-0.77.0
Total time: 11.35 hours.
Scaled time: 5.30 units (timescale=0.467).
Factorization parameters were as follows:
n: 1506441641300879501519321717334002021257311918017207738539061933947828095295862663483082025510642289255862376828758280829 
m: 100000000000000000000000000000000
c4: 7
c2: -45
c0: -70
skew: 1
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 1450001)
Relations: rels:1389505, finalFF:153588
Initial matrix: 127798 x 153588 with sparse part having weight 13736900.
Pruned matrix : 124704 x 125406 with weight 9065744.
Total sieving time: 10.83 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.42 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,128,4,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 11.35 hours.
 --------- CPU info (if available) ----------

(7·10¹²⁷-9·10⁶³-7)/9 = 7777777777777777777777777777777777777777777777777777777777777776777777777777777777777777777777777777777777777777777777777777777_<127> = 3 · 499 · 6217261 · C117

C117 = P48 · P70

P48 = 713181490360387714741821527620115836086086347897_<48>

P70 = 1171748935652690342842549975717980454423586038390038934347362604423173_<70>

Number: 77677_63
N=835669652256983742388095383122039530657312474352999172652316222358429427543858949880937914363786422476409261886617181
  ( 117 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=713181490360387714741821527620115836086086347897 (pp48)
 r2=1171748935652690342842549975717980454423586038390038934347362604423173 (pp70)
Version: GGNFS-0.77.0
Total time: 10.42 hours.
Scaled time: 4.87 units (timescale=0.467).
Factorization parameters were as follows:
n: 835669652256983742388095383122039530657312474352999172652316222358429427543858949880937914363786422476409261886617181 
m: 100000000000000000000000000000000
c4: 7
c2: -9
c0: -70
skew: 1
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 1400001)
Relations: rels:1378927, finalFF:151771
Initial matrix: 127527 x 151771 with sparse part having weight 13117428.
Pruned matrix : 124438 x 125139 with weight 8778971.
Total sieving time: 9.91 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.41 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,128,4,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 10.42 hours.
 --------- CPU info (if available) ----------

(10¹³⁹+63·10⁶⁹-1)/9 = 1111111111111111111111111111111111111111111111111111111111111111111118111111111111111111111111111111111111111111111111111111111111111111111_<139> = C139

C139 = P57 · P82

P57 = 467652694300191693736261084612152646516775813624373744143_<57>

P82 = 2375932234868887528151906009973851128781214167960123415164812510915805241727384777_<82>

Number: 11811_69
N=1111111111111111111111111111111111111111111111111111111111111111111118111111111111111111111111111111111111111111111111111111111111111111111
  ( 139 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=467652694300191693736261084612152646516775813624373744143 (pp57)
 r2=2375932234868887528151906009973851128781214167960123415164812510915805241727384777 (pp82)
Version: GGNFS-0.77.0
Total time: 104.76 hours.
Scaled time: 69.77 units (timescale=0.666).
Factorization parameters were as follows:
n: 1111111111111111111111111111111111111111111111111111111111111111111118111111111111111111111111111111111111111111111111111111111111111111111 
m: 100000000000000000000000000000000000
c4: 1
c2: 63 
c0: -10
skew: 1
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 13450001)
Relations: rels:2762046, finalFF:159690
Initial matrix: 142405 x 159690 with sparse part having weight 23961681.
Pruned matrix : 140864 x 141640 with weight 20171454.
Total sieving time: 104.04 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 0.43 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,140,4,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 104.76 hours.
 --------- CPU info (if available) ----------

Jun 6, 2005

By Tomoya Adachi / GGNFS-0.73.5-nu6

(7·10¹³¹-27·10⁶⁵-7)/9 = 77777777777777777777777777777777777777777777777777777777777777777477777777777777777777777777777777777777777777777777777777777777777_<131> = C131

C131 = P64 · P68

P64 = 2329957521561874313076509630588577468145156433739855730454265377_<64>

P68 = 33381629088945736991421982152696814983525014160319979864132043781201_<68>

# (7*10^131-27*10^65-7)/9

P64 = 2329957521561874313076509630588577468145156433739855730454265377
P68 = 33381629088945736991421982152696814983525014160319979864132043781201

sieve range: 130->169*10^4 with 12siever, on Ath64 3200+
maxrelsinff: 19

latsieve: 278:50 (4.65h)
procrels:  16:57
matsolve:  31:49
sqrt    :  10:15 (5deps)
-----------------
total   : 337:51 (5.63h)

# 7*10^131-27*10^65-7
n: 77777777777777777777777777777777777777777777777777777777777777777477777777777777777777777777777777777777777777777777777777777777777
m: 1000000000000000000000000000000000
c4: 7
c2: -27
c0: -70
skew: 1.5
rlim: 1720000
alim: 1650000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
q0: 1720000
qintsize: 10000

(7·10¹⁴⁹-27·10⁷⁴-7)/9 = 77777777777777777777777777777777777777777777777777777777777777777777777777477777777777777777777777777777777777777777777777777777777777777777777777777_<149> = 499 · 6521 · 18713 · 6818941 · C132

C132 = P37 · P95

P37 = 3554935765272149714852015404523879867_<37>

P95 = 52692484515080030103968291662915380368443323585405263535692294815978557940825988997011167138933_<95>

# (7*10^149-27*10^74-7)/9

P37 = 3554935765272149714852015404523879867
P95 = 52692484515080030103968291662915380368443323585405263535692294815978557940825988997011167138933

sieve range: 125->235*10^4 with 13 siever, on Ath64 3200+ (16%), Pen4 3.4CGHz (62%), Pen4 2.4AGHz (22%)
maxrelsinff: 48

latsieve: 1881:12 (31.35h)
procrels:   61:23
matsolve:  126:24
sqrt    :    9:25 (2deps)
-----------------
total   : 2078:24 (34.64h)

# 7*10^149-27*10^74-7
n: 187318397763706925489496815847839758402513445252289852932278615416975849395188720690201203856299281148291551563449197762190990561911
m: 10000000000000000000000000000000000000
c4: 70
c2: -27
c0: -7
skew: 0.8
rlim: 1950000
alim: 1800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
q0: 1950000
qintsize: 10000

Jun 5, 2005 (3rd)

By Kenichiro Yamaguchi / GGNFS-0.77.0

10¹²⁵-7·10⁶²-1 = 99999999999999999999999999999999999999999999999999999999999999299999999999999999999999999999999999999999999999999999999999999_<125> = 71 · 26144460523_<11> · C113

C113 = P30 · P32 · P52

P30 = 472286871059656343279061123671_<30>

P32 = 55356921844173914450279278756291_<32>

P52 = 2060554760283018418628476621621143873632350669384223_<52>

Number: 99299_62
N=53871859508682512074646120936835098683229656719794964681152215122436137607489527995062577692969086789420004154203
  ( 113 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=472286871059656343279061123671 (pp30)
 r2=55356921844173914450279278756291 (pp32)
 r3=2060554760283018418628476621621143873632350669384223 (pp52)
Version: GGNFS-0.77.0
Total time: 6.20 hours.
Scaled time: 3.15 units (timescale=0.509).
Factorization parameters were as follows:
n: 53871859508682512074646120936835098683229656719794964681152215122436137607489527995062577692969086789420004154203 
m: 10000000000000000000000000000000
c4: 10
c2: -7 
c0: -1
skew: 1
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 1000001)
Relations: rels:2081493, finalFF:156249
Initial matrix: 112617 x 156249 with sparse part having weight 15831289.
Pruned matrix : 109326 x 109953 with weight 8067291.
Total sieving time: 5.78 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.30 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,125,4,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 6.20 hours.
 --------- CPU info (if available) ----------

(10¹²⁷+6·10⁶³-1)/3 = 3333333333333333333333333333333333333333333333333333333333333335333333333333333333333333333333333333333333333333333333333333333_<127> = 240893977 · C119

C119 = P50 · P60

P50 = 17148521859053648456529543149900190796330362694433_<50>

P69 = 806911885145198528723082540871527824980437341465412948199217266210813_<69>

Number: 33533_63
N=13837346100742623935895804208227810250869548861046589526534045869205494221772648692388574469561492329604128430879504029
  ( 119 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=17148521859053648456529543149900190796330362694433 (pp50)
 r2=806911885145198528723082540871527824980437341465412948199217266210813 (pp69)
Version: GGNFS-0.77.0
Total time: 8.50 hours.
Scaled time: 4.34 units (timescale=0.511).
Factorization parameters were as follows:
n: 13837346100742623935895804208227810250869548861046589526534045869205494221772648692388574469561492329604128430879504029 
m: 100000000000000000000000000000000
c4: 1
c2: 6
c0: -10
skew: 1
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 1300001)
Relations: rels:1384878, finalFF:160526
Initial matrix: 127835 x 160526 with sparse part having weight 12651030.
Pruned matrix : 123784 x 124487 with weight 7412218.
Total sieving time: 8.08 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.34 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,128,4,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 8.50 hours.
 --------- CPU info (if available) ----------

(7·10¹²⁷-27·10⁶³-7)/9 = 7777777777777777777777777777777777777777777777777777777777777774777777777777777777777777777777777777777777777777777777777777777_<127> = 1311131228976887739433_<22> · C106

C106 = P49 · P58

P49 = 4522206285626725741274186571771733389102946815497_<49>

P58 = 1311773942191118801724309113945969200258141511100574341377_<58>

Number: 77477_63
N=5932112366698026612643230407147817616017134496767110825184794419449538664238789943499702740785470311919369
  ( 106 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=4522206285626725741274186571771733389102946815497 (pp49)
 r2=1311773942191118801724309113945969200258141511100574341377 (pp58)
Version: GGNFS-0.77.0
Total time: 9.99 hours.
Scaled time: 4.76 units (timescale=0.476).
Factorization parameters were as follows:
n: 5932112366698026612643230407147817616017134496767110825184794419449538664238789943499702740785470311919369 
m: 100000000000000000000000000000000
c4: 7
c2: -27 
c0: -70
skew: 1
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 1350001)
Relations: rels:1375961, finalFF:156458
Initial matrix: 127414 x 156458 with sparse part having weight 12906960.
Pruned matrix : 123672 x 124373 with weight 8006852.
Total sieving time: 9.49 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.39 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,128,4,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 9.99 hours.
 --------- CPU info (if available) ----------

(7·10¹²⁷-18·10⁶³-7)/9 = 7777777777777777777777777777777777777777777777777777777777777775777777777777777777777777777777777777777777777777777777777777777_<127> = C127

C127 = P40 · P42 · P47

P40 = 5524802449290085157573703075130787287549_<40>

P42 = 116659172373616594305474819802771926786157_<42>

P47 = 12067571647473808661607754552473705721153447289_<47>

Number: 77577_63
N=7777777777777777777777777777777777777777777777777777777777777775777777777777777777777777777777777777777777777777777777777777777
  ( 127 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=5524802449290085157573703075130787287549 (pp40)
 r2=116659172373616594305474819802771926786157 (pp42)
 r3=12067571647473808661607754552473705721153447289 (pp47)
Version: GGNFS-0.77.0
Total time: 14.69 hours.
Scaled time: 7.52 units (timescale=0.512).
Factorization parameters were as follows:
n: 7777777777777777777777777777777777777777777777777777777777777775777777777777777777777777777777777777777777777777777777777777777 
m: 100000000000000000000000000000000
c4: 7
c2: -18
c0: -70
skew: 1
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 2000001)
Relations: rels:1532950, finalFF:150473
Initial matrix: 127501 x 150473 with sparse part having weight 16717144.
Pruned matrix : 125244 x 125945 with weight 12107412.
Total sieving time: 14.03 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.54 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,128,4,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 14.69 hours.
 --------- CPU info (if available) ----------

Jun 5, 2005 (2nd)

By Sinkiti Sibata / GGNFS-0.77.1

10¹⁴¹-2·10⁷⁰-1 = 999999999999999999999999999999999999999999999999999999999999999999999979999999999999999999999999999999999999999999999999999999999999999999999_<141> = 151 · 29952681391_<11> · 26707653448326308357669563_<26> · C103

C103 = P33 · P71

P33 = 776542093594587270889336430100377_<33>

P71 = 10660721824502037370806767990901105962219062345005297373975234579520189_<71>

Number: 979_70
N=8278499244828320278031558513661543374807561301980190150664926388700788596726190851264578119573768011253
  ( 103 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=776542093594587270889336430100377 (pp33)
 r2=10660721824502037370806767990901105962219062345005297373975234579520189 (pp71)
Version: GGNFS-0.77.1
Total time: 46.66 hours.
Scaled time: 27.81 units (timescale=0.596).
Factorization parameters were as follows:
name: 979_70
n: 8278499244828320278031558513661543374807561301980190150664926388700788596726190851264578119573768011253
m: 100000000000000000000000000000000000
c4: 10
c2: -2
c0: -1
skew: 2
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Sieved special-q in [650000, 5550001)
Relations: rels:3063360, finalFF:234257
Initial matrix: 199802 x 234257 with sparse part having weight 32040517.
Pruned matrix : 195862 x 196925 with weight 24490361.
Total sieving time: 43.91 hours.
Total relation processing time: 0.71 hours.
Matrix solve time: 1.96 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,141,4,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 46.66 hours.
 --------- CPU info (if available) ----------

Jun 5, 2005

By Makoto Kamada / GMP-ECM 6.0

10¹³⁵-4·10⁶⁷-1 = 999999999999999999999999999999999999999999999999999999999999999999959999999999999999999999999999999999999999999999999999999999999999999_<135> = 7 · 199 · C132

C132 = P36 · C96

P36 = 776868191153854013968671748788920791_<36>

C96 = [924062920722951092337151139218331456487917511128942688202089863029871990343024979764022829068073_<96>]

Jun 3, 2005 (4th)

By Sinkiti Sibata / GGNFS-0.77.1

10¹⁴⁹-10⁷⁴-1 = 99999999999999999999999999999999999999999999999999999999999999999999999999899999999999999999999999999999999999999999999999999999999999999999999999999_<149> = 61 · 18917 · 44457307 · 2986416743_<10> · 34754472743_<11> · C116

C116 = P44 · P72

P44 = 34517731760870911581764325642423398651167757_<44>

P72 = 544090801698841188467997932847833144106032723664810376251870210457031777_<72>

Number: 989_74
N=18780780346597807427108915807137709206674619173761487048601495290033742608032378270882237240993404172741573106814189
  ( 116 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=34517731760870911581764325642423398651167757 (pp44)
 r2=544090801698841188467997932847833144106032723664810376251870210457031777 (pp72)
Version: GGNFS-0.77.1
Total time: 64.30 hours.
Scaled time: 42.82 units (timescale=0.666).
Factorization parameters were as follows:
name: 989_74
n: 18780780346597807427108915807137709206674619173761487048601495290033742608032378270882237240993404172741573106814189
m: 10000000000000000000000000
c6: 1
c3: -1
c0: -10
skew: 2
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Sieved special-q in [750000, 2550001)
Relations: rels:2975533, finalFF:284922
Initial matrix: 228217 x 284922 with sparse part having weight 31497873.
Pruned matrix : 220442 x 221647 with weight 19729500.
Total sieving time: 61.82 hours.
Total relation processing time: 0.31 hours.
Matrix solve time: 2.02 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,150,6,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000
total time: 64.30 hours.
 --------- CPU info (if available) ----------

Jun 3, 2005 (3rd)

By Makoto Kamada / PFGW 1.2

(2·10¹⁹¹⁵³+691)/9 = (2)₁₉₁₅₁99_<19153> is PRP.

I was surprized that this 19153 digit number is the smallest prime or PRP of the form 22...2299.

Jun 3, 2005 (2nd)

By Makoto Kamada / GMP-ECM 6.0.1

(5·10¹⁵⁵-41)/9 = (5)₁₅₄1_<155> = 3 · 67 · 32728614939259_<14> · C139

C139 = P36 · P104

P36 = 192515053023680624529300156089570641_<36>

P104 = 43867119492678689661734121972076445309646265049947481084645349682018075487964108144385723980490281754229_<104>

(7·10¹³¹-18·10⁶⁵-7)/9 = 77777777777777777777777777777777777777777777777777777777777777777577777777777777777777777777777777777777777777777777777777777777777_<131> = 3 · 109 · 823 · 81331 · 82320101 · 9514718303_<10> · C103

C103 = P30 · P74

P30 = 341218957060259517352733160503_<30>

P74 = 13295872745065450636615972105518984032973924478911738099361722222461180503_<74>

Jun 3, 2005

By Kenichiro Yamaguchi / GGNFS-0.77.0

10¹¹¹-8·10⁵⁵-1 = 999999999999999999999999999999999999999999999999999999919999999999999999999999999999999999999999999999999999999_<111> = 79 · C110

C110 = P34 · P76

P34 = 5016332105457035533508494815374477_<34>

P76 = 2523403072601785194850307494500371919914170316323356023807466059956538685653_<76>

Number: 99199_55
N=12658227848101265822784810126582278481012658227848101264810126582278481012658227848101265822784810126582278481
  ( 110 digits)
SNFS difficulty: 112 digits.
Divisors found:
 r1=5016332105457035533508494815374477 (pp34)
 r2=2523403072601785194850307494500371919914170316323356023807466059956538685653 (pp76)
Version: GGNFS-0.77.0
Total time: 1.67 hours.
Scaled time: 0.87 units (timescale=0.520).
Factorization parameters were as follows:
n: 12658227848101265822784810126582278481012658227848101264810126582278481012658227848101265822784810126582278481 
m: 10000000000000000000000000000
c4: 1
c2: -8 
c0: -10
skew: 1
type: snfs
Factor base limits: 450000/500000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [250000, 430001)
Relations: rels:994974, finalFF:105148
Initial matrix: 79232 x 105148 with sparse part having weight 4446466.
Pruned matrix : 72703 x 73163 with weight 2092781.
Total sieving time: 1.58 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,112,4,0,0,0,0,0,0,0,0,450000,500000,25,25,44,44,2.2,2.2,20000
total time: 1.67 hours.
 --------- CPU info (if available) ----------

(10¹²¹+72·10⁶⁰-1)/9 = 1111111111111111111111111111111111111111111111111111111111119111111111111111111111111111111111111111111111111111111111111_<121> = 3 · 39499 · 4366643 · 113400914609_<12> · C98

C98 = P44 · P55

P44 = 18603945024252359647586172479299347296895947_<44>

P55 = 1017843114992066265791411519193442648002770541494100167_<55>

Number: 11911_60
N=18935897354626173534745801627323526764844167635587724246545604319900046630019556936284612994323149
  ( 98 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=18603945024252359647586172479299347296895947 (pp44)
 r2=1017843114992066265791411519193442648002770541494100167 (pp55)
Version: GGNFS-0.77.0
Total time: 3.85 hours.
Scaled time: 1.99 units (timescale=0.517).
Factorization parameters were as follows:
n: 18935897354626173534745801627323526764844167635587724246545604319900046630019556936284612994323149
m: 1000000000000000000000000000000
c4: 10
c2: 72
c0: -1
skew: 1
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 750001)
Relations: rels:1953840, finalFF:155694
Initial matrix: 112777 x 155694 with sparse part having weight 12620463.
Pruned matrix : 107652 x 108279 with weight 5697265.
Total sieving time: 3.53 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.22 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,121,4,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 3.85 hours.
 --------- CPU info (if available) ----------

(10¹²⁵+54·10⁶²-1)/9 = 11111111111111111111111111111111111111111111111111111111111111711111111111111111111111111111111111111111111111111111111111111_<125> = 7 · 17 · 317 · C120

C120 = P40 · P80

P40 = 7973322074105264033384947437846009001513_<40>

P80 = 36941281712920258112424104486852540883846738400367841483096109228211987802564989_<80>

Number: 11711_62
N=294544736927368213321080272277154815659176394006603693001911611248074413782337330305413437719988100392628134324181828357
  ( 120 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=7973322074105264033384947437846009001513 (pp40)
 r2=36941281712920258112424104486852540883846738400367841483096109228211987802564989 (pp80)
Version: GGNFS-0.77.0
Total time: 4.43 hours.
Scaled time: 2.05 units (timescale=0.464).
Factorization parameters were as follows:
n: 294544736927368213321080272277154815659176394006603693001911611248074413782337330305413437719988100392628134324181828357 
m: 10000000000000000000000000000000
c4: 10
c2: 54 
c0: -1
skew: 1
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 800001)
Relations: rels:1845599, finalFF:135937
Initial matrix: 113024 x 135937 with sparse part having weight 10344713.
Pruned matrix : 110853 x 111482 with weight 6388512.
Total sieving time: 4.07 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.25 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,125,4,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 4.43 hours.
 --------- CPU info (if available) ----------

(10¹²⁵+6·10⁶²-1)/3 = 33333333333333333333333333333333333333333333333333333333333333533333333333333333333333333333333333333333333333333333333333333_<125> = 743 · 6737 · C118

C118 = P50 · P69

P50 = 36758479527898023340004448251397139898197187184737_<50>

P69 = 181161473815681904121219350710639752665780284481427976281055477903699_<69>

Number: 33533_62
N=6659220326497577075980305489068789945749329766122188835111245312158610907949397650214197151411957815437444516208642163
  ( 118 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=36758479527898023340004448251397139898197187184737 (pp50)
 r2=181161473815681904121219350710639752665780284481427976281055477903699 (pp69)
Version: GGNFS-0.77.0
Total time: 4.94 hours.
Scaled time: 2.48 units (timescale=0.502).
Factorization parameters were as follows:
n: 6659220326497577075980305489068789945749329766122188835111245312158610907949397650214197151411957815437444516208642163 
m: 10000000000000000000000000000000
c4: 10
c2: 6
c0: -1
skew: 1
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 850001)
Relations: rels:1877389, finalFF:126846
Initial matrix: 112756 x 126846 with sparse part having weight 10771632.
Pruned matrix : 111361 x 111988 with weight 8080776.
Total sieving time: 4.53 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.30 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,125,4,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 4.94 hours.
 --------- CPU info (if available) ----------

(7·10¹²⁵-18·10⁶²-7)/9 = 77777777777777777777777777777777777777777777777777777777777777577777777777777777777777777777777777777777777777777777777777777_<125> = 3² · 47475031 · 120939911024162888803_<21> · C97

C97 = P38 · P59

P38 = 60970037018125996965377217842992612127_<38>

P59 = 24686621629077471969947980022232477103969504451669996673323_<59>

Number: 77577_62
N=1505144234577323370608265076869619977152542106177086227670600044322931113862861205128956067188021
  ( 97 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=60970037018125996965377217842992612127 (pp38)
 r2=24686621629077471969947980022232477103969504451669996673323 (pp59)
Version: GGNFS-0.77.0
Total time: 5.94 hours.
Scaled time: 3.05 units (timescale=0.513).
Factorization parameters were as follows:
n: 1505144234577323370608265076869619977152542106177086227670600044322931113862861205128956067188021 
m: 10000000000000000000000000000000
c4: 70
c2: -18 
c0: -7
skew: 1
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 950001)
Relations: rels:2017584, finalFF:147669
Initial matrix: 112930 x 147669 with sparse part having weight 14603951.
Pruned matrix : 110170 x 110798 with weight 8204709.
Total sieving time: 5.51 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.30 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,125,4,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 5.94 hours.
 --------- CPU info (if available) ----------

(7·10¹²⁵+9·10⁶²-7)/9 = 77777777777777777777777777777777777777777777777777777777777777877777777777777777777777777777777777777777777777777777777777777_<125> = 3 · 99524603534812785324188777_<26> · C99

C99 = P47 · P53

P47 = 19672192045799176624374177119391737000240110877_<47>

P53 = 13241923182778468223372021017297185130734815430594271_<53>

Number: 77877_62
N=260497655907338299050539410778430931302480341020225880621971057677621936464392053126200123040985667
  ( 99 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=19672192045799176624374177119391737000240110877 (pp47)
 r2=13241923182778468223372021017297185130734815430594271 (pp53)
Version: GGNFS-0.77.0
Total time: 5.84 hours.
Scaled time: 2.94 units (timescale=0.504).
Factorization parameters were as follows:
n: 260497655907338299050539410778430931302480341020225880621971057677621936464392053126200123040985667 
m: 10000000000000000000000000000000
c4: 70
c2: 9
c0: -7
skew: 1
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 950001)
Relations: rels:2062439, finalFF:167522
Initial matrix: 112676 x 167522 with sparse part having weight 16536364.
Pruned matrix : 108237 x 108864 with weight 7240777.
Total sieving time: 5.46 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.26 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,125,4,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 5.84 hours.
 --------- CPU info (if available) ----------

Jun 2, 2005

By Kenichiro Yamaguchi / GGNFS-0.77.0

(10¹²³+54·10⁶¹-1)/9 = 111111111111111111111111111111111111111111111111111111111111171111111111111111111111111111111111111111111111111111111111111_<123> = 3 · 19 · 163 · 739 · 1933727 · C109

C109 = P50 · P60

P50 = 24177014076442824163935261435022122376098464369513_<50>

P60 = 346140779655288965633172120469218510283083951282762618834289_<60>

Number: 11711_61
N=8368650502156815251315435496144790676963884516443182209963302915957985851729118082729617851799027005410631257
  ( 109 digits)
SNFS difficulty: 124 digits.
Divisors found:
 r1=24177014076442824163935261435022122376098464369513 (pp50)
 r2=346140779655288965633172120469218510283083951282762618834289 (pp60)
Version: GGNFS-0.77.0
Total time: 4.36 hours.
Scaled time: 2.29 units (timescale=0.525).
Factorization parameters were as follows:
n: 8368650502156815251315435496144790676963884516443182209963302915957985851729118082729617851799027005410631257
m: 10000000000000000000000000000000
c4: 1
c2: 54
c0: -10
skew: 1
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 800001)
Relations: rels:1922294, finalFF:164446
Initial matrix: 113042 x 164446 with sparse part having weight 12521145.
Pruned matrix : 108306 x 108935 with weight 5022358.
Total sieving time: 4.07 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.20 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,124,4,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 4.36 hours.
 --------- CPU info (if available) ----------

(10¹²³+72·10⁶¹-1)/9 = 111111111111111111111111111111111111111111111111111111111111191111111111111111111111111111111111111111111111111111111111111_<123> = 830741 · C117

C117 = P57 · P60

P57 = 333943384135918323799284829426734387858561633507038519893_<57>

P60 = 400515199053720590198605795341928759454360997189738245325247_<60>

Number: 11911_61
N=133749400969870406192918263467327495706978602369584637222806134657024404851946769343406803216780092846159165264638571
  ( 117 digits)
SNFS difficulty: 124 digits.
Divisors found:
 r1=333943384135918323799284829426734387858561633507038519893 (pp57)
 r2=400515199053720590198605795341928759454360997189738245325247 (pp60)
Version: GGNFS-0.77.0
Total time: 4.75 hours.
Scaled time: 2.46 units (timescale=0.517).
Factorization parameters were as follows:
n: 133749400969870406192918263467327495706978602369584637222806134657024404851946769343406803216780092846159165264638571
m: 10000000000000000000000000000000
c4: 1
c2: 72
c0: -10
skew: 1
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 850001)
Relations: rels:2002893, finalFF:178465
Initial matrix: 112642 x 178465 with sparse part having weight 15245143.
Pruned matrix : 106754 x 107381 with weight 5458667.
Total sieving time: 4.45 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.21 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,124,4,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 4.75 hours.
 --------- CPU info (if available) ----------

(10¹²³+6·10⁶¹-1)/3 = 333333333333333333333333333333333333333333333333333333333333353333333333333333333333333333333333333333333333333333333333333_<123> = 17 · C122

C122 = P47 · P75

P47 = 27814144339367109918804963147451053819016220333_<47>

P75 = 704959422731645455575289184902418785159553295349154642026036197242998215353_<75>

Number: 33533_61
N=19607843137254901960784313725490196078431372549019607843137256078431372549019607843137254901960784313725490196078431372549
  ( 122 digits)
SNFS difficulty: 124 digits.
Divisors found:
 r1=27814144339367109918804963147451053819016220333 (pp47)
 r2=704959422731645455575289184902418785159553295349154642026036197242998215353 (pp75)
Version: GGNFS-0.77.0
Total time: 4.31 hours.
Scaled time: 2.22 units (timescale=0.514).
Factorization parameters were as follows:
n: 19607843137254901960784313725490196078431372549019607843137256078431372549019607843137254901960784313725490196078431372549
m: 10000000000000000000000000000000
c4: 1
c2: 6
c0: -10
skew: 1
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 800001)
Relations: rels:1864426, finalFF:139284
Initial matrix: 112982 x 139284 with sparse part having weight 10485798.
Pruned matrix : 110583 x 111211 with weight 6085535.
Total sieving time: 3.98 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.25 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,124,4,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 4.31 hours.
 --------- CPU info (if available) ----------

(7·10¹²³-45·10⁶¹-7)/9 = 777777777777777777777777777777777777777777777777777777777777727777777777777777777777777777777777777777777777777777777777777_<123> = 23 · 70924381691_<11> · C111

C111 = P49 · P62

P49 = 6449837247782303232093281784658518590839975860721_<49>

P62 = 73923646265105422719114933120555496355101491772474460906208709_<62>

Number: 77277_61
N=476795487172560099236739945180836688228943989965368243984533468565741111902447129669718872492083435995141219189
  ( 111 digits)
SNFS difficulty: 124 digits.
Divisors found:
 r1=6449837247782303232093281784658518590839975860721 (pp49)
 r2=73923646265105422719114933120555496355101491772474460906208709 (pp62)
Version: GGNFS-0.77.0
Total time: 5.32 hours.
Scaled time: 2.70 units (timescale=0.508).
Factorization parameters were as follows:
n: 476795487172560099236739945180836688228943989965368243984533468565741111902447129669718872492083435995141219189
m: 10000000000000000000000000000000
c4: 7
c2: -45
c0: -70
skew: 1
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 900001)
Relations: rels:1992194, finalFF:160633
Initial matrix: 112945 x 160633 with sparse part having weight 14658643.
Pruned matrix : 109130 x 109758 with weight 6724701.
Total sieving time: 4.96 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.26 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,124,4,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 5.32 hours.
 --------- CPU info (if available) ----------

Jun 1, 2005 (3rd)

By Anton Korobeynikov / GGNFS-0.77.1

(10¹²⁷+45·10⁶³-1)/9 = 1111111111111111111111111111111111111111111111111111111111111116111111111111111111111111111111111111111111111111111111111111111_<127> = 3 · 29 · 113 · 20039627 · 17943655390847_<14> · C102

C102 = P45 · P57

P45 = 388892054665769589332251337459778952118466577_<45>

P57 = 808221074329162557129786383917012036277024262407706022637_<57>

Number: gnfs8
N=314310754220043711687892510706249953140553848186409630996780015742951816371022475594518847348089903549
  ( 102 digits)
Divisors found:
 r1=388892054665769589332251337459778952118466577 (pp45)
 r2=808221074329162557129786383917012036277024262407706022637 (pp57)
Version: GGNFS-0.77.1
Total time: 10.57 hours.
Scaled time: 10.05 units (timescale=0.951).
Factorization parameters were as follows:
name: gnfs8
n: 314310754220043711687892510706249953140553848186409630996780015742951816371022475594518847348089903549
skew: 8020.53
# norm 1.24e+014
c5: 81900
c4: 958525056
c3: -8399637298891
c2: -51851268458066371
c1: -7008102930395279189
c0: 653324131452677932541295
# alpha -6.22
Y1: 14806327663
Y0: -20740266957471591364
# Murphy_E 2.85e-009
# M 37358659076484039915362325711913352536141497804833547942517755482835183282465168705003579414882783923
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Sieved special-q in [1150000, 1750001)
Relations: rels:4327228, finalFF:438560
Initial matrix: 339049 x 438560 with sparse part having weight 30684901.
Pruned matrix : 292635 x 294394 with weight 13463839.
Polynomial selection time: 0.33 hours.
Total sieving time: 8.66 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 1.21 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
gnfs,101,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 10.57 hours.
 --------- CPU info (if available) ----------

Jun 1, 2005 (2nd)

By Makoto Kamada / GMP-ECM 6.0.1

(4·10¹⁷⁵+23)/9 = (4)₁₇₄7_<175> = 7⁴ · 151 · 4077068417_<10> · 912028673482967_<15> · C145

C145 = P32 · C114

P32 = 18287204296526384115739261382729_<32>

C114 = [180278761593532432612303389060257361960331553150960921382583597306562657112851496908359299109733878279188096704087_<114>]

(10¹³⁹+6·10⁶⁹-1)/3 = 3333333333333333333333333333333333333333333333333333333333333333333335333333333333333333333333333333333333333333333333333333333333333333333_<139> = 4423 · 7690519 · C128

C128 = P30 · P99

P30 = 257984303314597788657955894013_<30>

P99 = 379850649833740727794024738173681159907765233717802570010963219776843219340065788338846223366687193_<99>

Jun 1, 2005

By Kenichiro Yamaguchi / GGNFS-0.77.0

(7·10¹¹⁹-9·10⁵⁹-7)/9 = 77777777777777777777777777777777777777777777777777777777777677777777777777777777777777777777777777777777777777777777777_<119> = 59 · 101312879 · C110

C110 = P52 · P59

P52 = 1055735817849591341311284793442382288948131189800529_<52>

P59 = 12324905726071694420147494916645611671169597636672802224733_<59>

Number: 77677_59
N=13011844426633411696577142064020591468054991892446231480897212799833099168305360834237775532889986189700283757
  ( 110 digits)
SNFS difficulty: 120 digits.
Divisors found:
 r1=1055735817849591341311284793442382288948131189800529 (pp52)
 r2=12324905726071694420147494916645611671169597636672802224733 (pp59)
Version: GGNFS-0.77.0
Total time: 3.44 hours.
Scaled time: 1.81 units (timescale=0.526).
Factorization parameters were as follows:
n: 13011844426633411696577142064020591468054991892446231480897212799833099168305360834237775532889986189700283757
m: 1000000000000000000000000000000
c4: 7
c2: -9
c0: -70
skew: 1
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 700001)
Relations: rels:2033915, finalFF:206716
Initial matrix: 112674 x 206716 with sparse part having weight 16486606.
Pruned matrix : 99880 x 100507 with weight 4201408.
Total sieving time: 3.20 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.15 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,120,4,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 3.44 hours.
 --------- CPU info (if available) ----------

10¹¹⁹-2·10⁵⁹-1 = 99999999999999999999999999999999999999999999999999999999999799999999999999999999999999999999999999999999999999999999999_<119> = 11 · 317 · 4463 · C112

C112 = P43 · P70

P43 = 3167237723290723022627763701000062201290487_<43>

P70 = 2028805924177070278738189526016446215925057127787218042322616836553417_<70>

Number: 99799_59
N=6425710656289315309043590157636176391155112092988258106146429994035012797766628598614835256666337456090709444079
  ( 112 digits)
SNFS difficulty: 120 digits.
Divisors found:
 r1=3167237723290723022627763701000062201290487 (pp43)
 r2=2028805924177070278738189526016446215925057127787218042322616836553417 (pp70)
Version: GGNFS-0.77.0
Total time: 3.34 hours.
Scaled time: 1.79 units (timescale=0.536).
Factorization parameters were as follows:
n: 6425710656289315309043590157636176391155112092988258106146429994035012797766628598614835256666337456090709444079
m: 1000000000000000000000000000000
c4: 1
c2: -2
c0: -10
skew: 1
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 700001)
Relations: rels:1977300, finalFF:185338
Initial matrix: 112808 x 185338 with sparse part having weight 14329446.
Pruned matrix : 102276 x 102904 with weight 4355231.
Total sieving time: 3.10 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.16 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,120,4,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 3.34 hours.
 --------- CPU info (if available) ----------

(10¹²¹+12·10⁶⁰-1)/3 = 3333333333333333333333333333333333333333333333333333333333337333333333333333333333333333333333333333333333333333333333333_<121> = 7 · 23 · 1051 · C116

C116 = P32 · P85

P32 = 11577286871594539754300974611271_<32>

P85 = 1701544683868553106986624465217486015780816568224111390083016841578865269040518765593_<85>

Number: 33733_60
N=19699270929982881333561844876121134756802650733896338496512267720971646839350475638896604436669798850744533944798703
  ( 116 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=11577286871594539754300974611271 (pp32)
 r2=1701544683868553106986624465217486015780816568224111390083016841578865269040518765593 (pp85)
Version: GGNFS-0.77.0
Total time: 2.84 hours.
Scaled time: 1.50 units (timescale=0.529).
Factorization parameters were as follows:
n: 19699270929982881333561844876121134756802650733896338496512267720971646839350475638896604436669798850744533944798703
m: 1000000000000000000000000000000
c4: 10
c2: 12
c0: -1
skew: 1
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 650001)
Relations: rels:1815599, finalFF:140222
Initial matrix: 112879 x 140222 with sparse part having weight 9965266.
Pruned matrix : 104985 x 105613 with weight 5387966.
Total sieving time: 2.56 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.19 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,121,4,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.84 hours.
 --------- CPU info (if available) ----------

10¹²¹-5·10⁶⁰-1 = 9999999999999999999999999999999999999999999999999999999999994999999999999999999999999999999999999999999999999999999999999_<121> = 165149106706211_<15> · C107

C107 = P50 · P58

P50 = 27611806515679263468269678707072310135743844147387_<50>

P58 = 2192951110112010923330726818171905685664179773222579832207_<58>

Number: 99499_60
N=60551341750756897169375054885967551734285315006056608046414443048414744433045704281283606426609557437493109
  ( 107 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=27611806515679263468269678707072310135743844147387 (pp50)
 r2=2192951110112010923330726818171905685664179773222579832207 (pp58)
Version: GGNFS-0.77.0
Total time: 3.35 hours.
Scaled time: 1.80 units (timescale=0.537).
Factorization parameters were as follows:
n: 60551341750756897169375054885967551734285315006056608046414443048414744433045704281283606426609557437493109
m: 1000000000000000000000000000000
c4: 10
c2: -5
c0: -1
skew: 1
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 700001)
Relations: rels:1995927, finalFF:187028
Initial matrix: 113116 x 187028 with sparse part having weight 15033671.
Pruned matrix : 102851 x 103480 with weight 4651587.
Total sieving time: 3.10 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.17 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,121,4,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 3.35 hours.
 --------- CPU info (if available) ----------

May 2005

May 31, 2005 (6th)

By Sinkiti Sibata / GGNFS-0.77.1

10¹⁴⁷-10⁷³-1 = 999999999999999999999999999999999999999999999999999999999999999999999999989999999999999999999999999999999999999999999999999999999999999999999999999_<147> = 83 · 113 · 3708202526668109917228307_<25> · C119

C119 = P41 · P79

P41 = 15862558419952376316679770375454352915971_<41>

P79 = 1812620068912988621361116139700801998459166922290934821642168987677184217078173_<79>

Number: 989_73
N=28752791736310384258994159713610632907858424717545098891662337574971643090487313928602053858226252879580881560207200983
  ( 119 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=15862558419952376316679770375454352915971 (pp41)
 r2=1812620068912988621361116139700801998459166922290934821642168987677184217078173 (pp79)
Version: GGNFS-0.77.1
Total time: 85.26 hours.
Scaled time: 56.78 units (timescale=0.666).
Factorization parameters were as follows:
name: 989_73
n: 28752791736310384258994159713610632907858424717545098891662337574971643090487313928602053858226252879580881560207200983
m: 10000000000000000000000000
c6: 1
c3: -10
c0: -1000
skew: 2
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Sieved special-q in [750000, 3250001)
Relations: rels:3094322, finalFF:267557
Initial matrix: 227718 x 267557 with sparse part having weight 32169776.
Pruned matrix : 222525 x 223727 with weight 23359531.
Total sieving time: 82.46 hours.
Total relation processing time: 0.41 hours.
Matrix solve time: 2.22 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,150,6,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000
total time: 85.26 hours.
 --------- CPU info (if available) ----------

May 31, 2005 (5th)

By Anton Korobeynikov / GGNFS-0.77.1

10¹²¹-7·10⁶⁰-1 = 9999999999999999999999999999999999999999999999999999999999992999999999999999999999999999999999999999999999999999999999999_<121> = 17² · 2679387385562077_<16> · C104

C104 = P40 · P64

P40 = 1335873289098187876976634772360781468609_<40>

P64 = 9667215115747825770030400192699700127010095463540775936360554987_<64>

Number: s19
N=12914174453093767034501179933316415145561857054268499217949403546002182396170844498997776114748158903083
  ( 104 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=1335873289098187876976634772360781468609 (pp40)
 r2=9667215115747825770030400192699700127010095463540775936360554987 (pp64)
Version: GGNFS-0.77.1
Total time: 3.44 hours.
Scaled time: 3.21 units (timescale=0.934).
Factorization parameters were as follows:
n: 12914174453093767034501179933316415145561857054268499217949403546002182396170844498997776114748158903083
type: snfs
m:  1000000000000000000000000000000
c4: 10
c3: 0
c2: -7
c1: 0
c0: -1
skew: 5
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 800001)
Relations: rels:2108758, finalFF:201985
Initial matrix: 112617 x 201985 with sparse part having weight 17976734.
Pruned matrix : 105217 x 105844 with weight 5153253.
Total sieving time: 3.20 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.14 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,121,4,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 3.44 hours.
 --------- CPU info (if available) ----------

May 31, 2005 (4th)

By Makoto Kamada / GMP-ECM 6.0.1

(4·10¹⁷⁹-13)/9 = (4)₁₇₈3_<179> = 7 · 1013 · 2251 · C172

C172 = P27 · C145

P27 = 607175123604322858135135231_<27>

C145 = [4585857248574766089191494016033277701621126655166426719485801290460110069261918937045523340271990532330502656789332671663584490375191831250740533_<145>]

(10¹²³+27·10⁶¹-1)/9 = 111111111111111111111111111111111111111111111111111111111111141111111111111111111111111111111111111111111111111111111111111_<123> = 3² · 541 · 1447 · 10613 · C112

C112 = P34 · P78

P34 = 1491236505937046539712208375143009_<34>

P78 = 996470609446539272051543512629299492739204426788529430247477074535696369474681_<78>

May 31, 2005 (3rd)

By Anton Korobeynikov / GGNFS-0.77.1

(7·10¹²⁹-27·10⁶⁴-7)/9 = 777777777777777777777777777777777777777777777777777777777777777747777777777777777777777777777777777777777777777777777777777777777_<129> = 3² · 197578793 · 2636458466448601_<16> · C105

C105 = P33 · P72

P33 = 567407713687278541368501853162777_<33>

P72 = 292385966049692665103126366443203312040271377398528823419532158227576273_<72>

Number: s12
N=165902052510502359722292919432116786913193202889433615056681365454285324108031138863369931419144051990121
  ( 105 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=567407713687278541368501853162777 (pp33)
 r2=292385966049692665103126366443203312040271377398528823419532158227576273 (pp72)
Version: GGNFS-0.77.1
Total time: 10.53 hours.
Scaled time: 9.90 units (timescale=0.940).
Factorization parameters were as follows:
n: 165902052510502359722292919432116786913193202889433615056681365454285324108031138863369931419144051990121
type: snfs
m:  100000000000000000000000000000000
c4: 70
c3: 0
c2: -27
c1: 0
c0: -7
skew: 5
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 1850001)
Relations: rels:1487984, finalFF:147832
Initial matrix: 127675 x 147832 with sparse part having weight 16062468.
Pruned matrix : 125434 x 126136 with weight 11973543.
Total sieving time: 10.06 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.37 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,129,4,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 10.53 hours.
 --------- CPU info (if available) ----------

May 31, 2005 (2nd)

By Kenichiro Yamaguchi / GGNFS-0.77.0

(7·10¹⁰⁹-54·10⁵⁴-7)/9 = 7777777777777777777777777777777777777777777777777777771777777777777777777777777777777777777777777777777777777_<109> = C109

C109 = P52 · P58

P52 = 1199703120496327971166912328502612111741137333287561_<52>

P58 = 6483085394126541203968119534230642078504648703049343858857_<58>

Number: 77177_54
N=7777777777777777777777777777777777777777777777777777771777777777777777777777777777777777777777777777777777777
  ( 109 digits)
SNFS difficulty: 109 digits.
Divisors found:
 r1=1199703120496327971166912328502612111741137333287561 (pp52)
 r2=6483085394126541203968119534230642078504648703049343858857 (pp58)
Version: GGNFS-0.77.0
Total time: 1.14 hours.
Scaled time: 0.76 units (timescale=0.666).
Factorization parameters were as follows:
n: 7777777777777777777777777777777777777777777777777777771777777777777777777777777777777777777777777777777777777
type: snfs
m:  1000000000000000000000000000
c4: 70 
c2: -54
c0: -7
skew: 1
Factor base limits: 450000/500000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [250000, 350001)
Relations: rels:923700, finalFF:95410
Initial matrix: 79373 x 95410 with sparse part having weight 3880661.
Pruned matrix : 70270 x 70730 with weight 2181274.
Total sieving time: 1.07 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,109,4,0,0,0,0,0,0,0,0,450000,500000,25,25,44,44,2.2,2.2,20000
total time: 1.14 hours.
 --------- CPU info (if available) ----------

(7·10¹⁰⁹-36·10⁵⁴-7)/9 = 7777777777777777777777777777777777777777777777777777773777777777777777777777777777777777777777777777777777777_<109> = 3 · C109

C109 = P44 · P66

P44 = 12680912768470105963886993540873101421968241_<44>

P66 = 204448421018937189061839562936315415779422772088695429945210627499_<66>

Number: 77377_54
N=2592592592592592592592592592592592592592592592592592591259259259259259259259259259259259259259259259259259259
  ( 109 digits)
SNFS difficulty: 109 digits.
Divisors found:
 r1=12680912768470105963886993540873101421968241 (pp44)
 r2=204448421018937189061839562936315415779422772088695429945210627499 (pp66)
Version: GGNFS-0.77.0
Total time: 1.33 hours.
Scaled time: 0.89 units (timescale=0.666).
Factorization parameters were as follows:
n: 2592592592592592592592592592592592592592592592592592591259259259259259259259259259259259259259259259259259259 
type: snfs
m:  1000000000000000000000000000
c4: 70 
c2: -36
c0: -7
skew: 1
Factor base limits: 450000/500000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [250000, 370001)
Relations: rels:1014791, finalFF:116034
Initial matrix: 79397 x 116034 with sparse part having weight 5113163.
Pruned matrix : 68542 x 69002 with weight 1976194.
Total sieving time: 1.26 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,109,4,0,0,0,0,0,0,0,0,450000,500000,25,25,44,44,2.2,2.2,20000
total time: 1.33 hours.
 --------- CPU info (if available) ----------

(7·10¹⁰⁹-18·10⁵⁴-7)/9 = 7777777777777777777777777777777777777777777777777777775777777777777777777777777777777777777777777777777777777_<109> = 71 · 2269 · 829093 · C98

C98 = P49 · P50

P49 = 1146077995900808636576232065781733351502351670241_<49>

P50 = 50809540009458185463854001724535026723990503184471_<50>

Number: 77577_54
N=58231695786681790693737480616980718072598650023369764628293961039044313473091885771662036184027511
  ( 98 digits)
SNFS difficulty: 109 digits.
Divisors found:
 r1=1146077995900808636576232065781733351502351670241 (pp49)
 r2=50809540009458185463854001724535026723990503184471 (pp50)
Version: GGNFS-0.77.0
Total time: 1.08 hours.
Scaled time: 0.49 units (timescale=0.458).
Factorization parameters were as follows:
n: 58231695786681790693737480616980718072598650023369764628293961039044313473091885771662036184027511 
type: snfs
m: 1000000000000000000000000000
c4: 70
c2: -18
c0: -7
skew: 1 
Factor base limits: 450000/500000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [250000, 350001)
Relations: rels:907095, finalFF:89598
Initial matrix: 79336 x 89598 with sparse part having weight 3677030.
Pruned matrix : 70757 x 71217 with weight 2402107.
Total sieving time: 0.99 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,109,4,0,0,0,0,0,0,0,0,450000,500000,25,25,44,44,2.2,2.2,20000
total time: 1.08 hours.
 --------- CPU info (if available) ----------

10¹⁰⁹-8·10⁵⁴-1 = 9999999999999999999999999999999999999999999999999999991999999999999999999999999999999999999999999999999999999_<109> = 127 · 71761 · C103

C103 = P40 · P63

P40 = 7456148442940953114594620702636947234993_<40>

P63 = 147161176532989056677907743727305226400991662335578342609981569_<63>

Number: 99199_54
N=1097255577267805083958156378012007706684272498155787687629332143323084600489792944580802833377241844017
  ( 103 digits)
SNFS difficulty: 109 digits.
Divisors found:
 r1=7456148442940953114594620702636947234993 (pp40)
 r2=147161176532989056677907743727305226400991662335578342609981569 (pp63)
Version: GGNFS-0.77.0
Total time: 1.13 hours.
Scaled time: 0.75 units (timescale=0.666).
Factorization parameters were as follows:
n: 1097255577267805083958156378012007706684272498155787687629332143323084600489792944580802833377241844017
m: 1000000000000000000000000000
c4: 10
c2: -8
c0: -1
skew: 1
type: snfs
Factor base limits: 450000/500000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [250000, 350001)
Relations: rels:1069397, finalFF:137108
Initial matrix: 79111 x 137108 with sparse part having weight 5528967.
Pruned matrix : 63351 x 63810 with weight 1553078.
Total sieving time: 1.07 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,109,4,0,0,0,0,0,0,0,0,450000,500000,25,25,44,44,2.2,2.2,20000
total time: 1.13 hours.
 --------- CPU info (if available) ----------

(7·10¹¹¹-18·10⁵⁵-7)/9 = 777777777777777777777777777777777777777777777777777777757777777777777777777777777777777777777777777777777777777_<111> = 757 · 157931 · C103

C103 = P42 · P62

P42 = 348384003690657101398486903557887748697859_<42>

P62 = 18673858341305959736691429802824396637093126317551470492389709_<62>

Number: 77577_55
N=6505673533296343374757716984173135906104721717198403106426397904950814120125363994409124538733921933031
  ( 103 digits)
SNFS difficulty: 112 digits.
Divisors found:
 r1=348384003690657101398486903557887748697859 (pp42)
 r2=18673858341305959736691429802824396637093126317551470492389709 (pp62)
Version: GGNFS-0.77.0
Total time: 2.09 hours.
Scaled time: 1.07 units (timescale=0.510).
Factorization parameters were as follows:
n: 6505673533296343374757716984173135906104721717198403106426397904950814120125363994409124538733921933031
m: 10000000000000000000000000000
c4: 7
c2: -18
c0: -70
skew: 1
type: snfs
Factor base limits: 450000/500000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [250000, 470001)
Relations: rels:1003159, finalFF:98699
Initial matrix: 78902 x 98699 with sparse part having weight 4611079.
Pruned matrix : 74991 x 75449 with weight 2531539.
Total sieving time: 1.99 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,112,4,0,0,0,0,0,0,0,0,450000,500000,25,25,44,44,2.2,2.2,20000
total time: 2.09 hours.
 --------- CPU info (if available) ----------

(7·10¹¹¹+9·10⁵⁵-7)/9 = 777777777777777777777777777777777777777777777777777777787777777777777777777777777777777777777777777777777777777_<111> = C111

C111 = P32 · P80

P32 = 47939686313793314714985650540221_<32>

P80 = 16224089842531860718820219676597897505473209526363831248251537182669333181917637_<80>

Number: 77877_55
N=777777777777777777777777777777777777777777777777777777787777777777777777777777777777777777777777777777777777777
  ( 111 digits)
SNFS difficulty: 112 digits.
Divisors found:
 r1=47939686313793314714985650540221 (pp32)
 r2=16224089842531860718820219676597897505473209526363831248251537182669333181917637 (pp80)
Version: GGNFS-0.77.0
Total time: 1.78 hours.
Scaled time: 1.19 units (timescale=0.666).
Factorization parameters were as follows:
n: 777777777777777777777777777777777777777777777777777777787777777777777777777777777777777777777777777777777777777
m: 10000000000000000000000000000
c4: 7
c2: 9
c0: -70
skew: 1
type: snfs
Factor base limits: 450000/500000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [250000, 430001)
Relations: rels:941384, finalFF:90105
Initial matrix: 79417 x 90105 with sparse part having weight 3879540.
Pruned matrix : 74636 x 75097 with weight 2602581.
Total sieving time: 1.70 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,112,4,0,0,0,0,0,0,0,0,450000,500000,25,25,44,44,2.2,2.2,20000
total time: 1.78 hours.
 --------- CPU info (if available) ----------

10¹¹¹-4·10⁵⁵-1 = 999999999999999999999999999999999999999999999999999999959999999999999999999999999999999999999999999999999999999_<111> = 7 · C111

C111 = P34 · P77

P34 = 1590646496312418081825900969362419_<34>

P77 = 89810742480071673480034617705907970811706653082603487540435533001853035752403_<77>

Number: 99599_55
N=142857142857142857142857142857142857142857142857142857137142857142857142857142857142857142857142857142857142857
  ( 111 digits)
SNFS difficulty: 112 digits.
Divisors found:
 r1=1590646496312418081825900969362419 (pp34)
 r2=89810742480071673480034617705907970811706653082603487540435533001853035752403 (pp77)
Version: GGNFS-0.77.0
Total time: 1.26 hours.
Scaled time: 0.84 units (timescale=0.666).
Factorization parameters were as follows:
n: 142857142857142857142857142857142857142857142857142857137142857142857142857142857142857142857142857142857142857
m: 10000000000000000000000000000
c4: 1
c2: -4
c0: -10
skew: 2
type: snfs

Factor base limits: 450000/500000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [250000, 370001)
Relations: rels:926136, finalFF:94399
Initial matrix: 79138 x 94399 with sparse part having weight 3770620.
Pruned matrix : 70758 x 71217 with weight 2135238.
Total sieving time: 1.20 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,112,4,0,0,0,0,0,0,0,0,450000,500000,25,25,44,44,2.2,2.2,20000
total time: 1.26 hours.
 --------- CPU info (if available) ----------

(10¹¹³+36·10⁵⁶-1)/9 = 11111111111111111111111111111111111111111111111111111111511111111111111111111111111111111111111111111111111111111_<113> = 3² · 16815523 · C104

C104 = P50 · P55

P50 = 13450495962423405602197324564053281711475193853233_<50>

P55 = 5458411877441488623204973599968579973704875381179652981_<55>

Number: 11511_56
N=73418346918770703785696579359117637984531786566172690631092018112015448206934291944354769440059184937573
  ( 104 digits)
SNFS difficulty: 113 digits.
Divisors found:
 r1=13450495962423405602197324564053281711475193853233 (pp50)
 r2=5458411877441488623204973599968579973704875381179652981 (pp55)
Version: GGNFS-0.77.0
Total time: 1.45 hours.
Scaled time: 0.75 units (timescale=0.514).
Factorization parameters were as follows:
n: 73418346918770703785696579359117637984531786566172690631092018112015448206934291944354769440059184937573
m: 10000000000000000000000000000
c4: 10
c2: 36
c0: -1
skew: 1
type: snfs
Factor base limits: 450000/500000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [250000, 390001)
Relations: rels:969958, finalFF:104541
Initial matrix: 79334 x 104541 with sparse part having weight 4541630.
Pruned matrix : 70384 x 70844 with weight 2156526.
Total sieving time: 1.37 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,113,4,0,0,0,0,0,0,0,0,450000,500000,25,25,44,44,2.2,2.2,20000
total time: 1.45 hours.
 --------- CPU info (if available) ----------

(10¹¹³+15·10⁵⁶-1)/3 = 33333333333333333333333333333333333333333333333333333333833333333333333333333333333333333333333333333333333333333_<113> = 969767 · C107

C107 = P44 · P63

P44 = 72268729819325236883478278411242078137715177_<44>

P63 = 475620890884244851498460963052289624304871649082765230602975787_<63>

Number: 33833_56
N=34372517659740260633052406746500276183179396012994186576603795894615235755942750509486643011500013233419299
  ( 107 digits)
SNFS difficulty: 113 digits.
Divisors found:
 r1=72268729819325236883478278411242078137715177 (pp44)
 r2=475620890884244851498460963052289624304871649082765230602975787 (pp63)
Version: GGNFS-0.77.0
Total time: 1.61 hours.
Scaled time: 1.07 units (timescale=0.666).
Factorization parameters were as follows:
n: 34372517659740260633052406746500276183179396012994186576603795894615235755942750509486643011500013233419299
m: 10000000000000000000000000000
c4: 10
c2: 15
c0: -1
skew: 3
type: snfs
Factor base limits: 450000/500000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [250000, 410001)
Relations: rels:940009, finalFF:91111
Initial matrix: 79221 x 91111 with sparse part having weight 3921157.
Pruned matrix : 73467 x 73927 with weight 2533907.
Total sieving time: 1.54 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,113,4,0,0,0,0,0,0,0,0,450000,500000,25,25,44,44,2.2,2.2,20000
total time: 1.61 hours.
 --------- CPU info (if available) ----------

(7·10¹¹³+9·10⁵⁶-7)/9 = 77777777777777777777777777777777777777777777777777777777877777777777777777777777777777777777777777777777777777777_<113> = 3² · 59 · 352753 · C105

C105 = P45 · P60

P45 = 943405915407871419942166753517422955179200619_<45>

P60 = 440140870971496639432675443055051578823488257567227387284881_<60>

Number: 77877_56
N=415231501287282608061134595626063952495399758454022460170218803398233489047341111142544135758558404541339
  ( 105 digits)
SNFS difficulty: 113 digits.
Divisors found:
 r1=943405915407871419942166753517422955179200619 (pp45)
 r2=440140870971496639432675443055051578823488257567227387284881 (pp60)
Version: GGNFS-0.77.0
Total time: 1.59 hours.
Scaled time: 0.82 units (timescale=0.517).
Factorization parameters were as follows:
n: 415231501287282608061134595626063952495399758454022460170218803398233489047341111142544135758558404541339
m: 10000000000000000000000000000
c4: 70
c2: 9
c0: -7
skew: 1
type: snfs

Factor base limits: 450000/500000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [250000, 410001)
Relations: rels:932542, finalFF:90825
Initial matrix: 78942 x 90825 with sparse part having weight 3937923.
Pruned matrix : 72901 x 73359 with weight 2542620.
Total sieving time: 1.50 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,113,4,0,0,0,0,0,0,0,0,450000,500000,25,25,44,44,2.2,2.2,20000
total time: 1.59 hours.
 --------- CPU info (if available) ----------

(10¹¹⁵+63·10⁵⁷-1)/9 = 1111111111111111111111111111111111111111111111111111111118111111111111111111111111111111111111111111111111111111111_<115> = 106633193 · 273798101 · C98

C98 = P40 · P59

P40 = 1281789999038424466872827278709808221353_<40>

P59 = 29690517433133448228875820017684038502497597814228332473659_<59>

Number: 11811_57
N=38057008312066447475703826101172590857550272118867171381121362891239260797229344859549025513840627
  ( 98 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=1281789999038424466872827278709808221353 (pp40)
 r2=29690517433133448228875820017684038502497597814228332473659 (pp59)
Version: GGNFS-0.77.0
Total time: 2.30 hours.
Scaled time: 1.53 units (timescale=0.666).
Factorization parameters were as follows:
n: 38057008312066447475703826101172590857550272118867171381121362891239260797229344859549025513840627
m: 100000000000000000000000000000
c4: 1
c2: 63
c0: -10
skew: 1
type: snfs
Factor base limits: 450000/500000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [250000, 490001)
Relations: rels:982926, finalFF:99137
Initial matrix: 79121 x 99137 with sparse part having weight 4321812.
Pruned matrix : 75548 x 76007 with weight 2364921.
Total sieving time: 2.22 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,116,4,0,0,0,0,0,0,0,0,450000,500000,25,25,44,44,2.2,2.2,20000
total time: 2.30 hours.
 --------- CPU info (if available) ----------

(10¹¹⁵+12·10⁵⁷-1)/3 = 3333333333333333333333333333333333333333333333333333333337333333333333333333333333333333333333333333333333333333333_<115> = 2027 · C112

C112 = P51 · P61

P51 = 413428623552526058738397724493803821597046811065223_<51>

P61 = 3977630664592314289649198080860208324298283709925435865124873_<61>

Number: 33733_57
N=1644466370662719947377076138792961683933563558625226114127939483637559611905936523598092419010031244861042591679
  ( 112 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=413428623552526058738397724493803821597046811065223 (pp51)
 r2=3977630664592314289649198080860208324298283709925435865124873 (pp61)
Version: GGNFS-0.77.0
Total time: 2.55 hours.
Scaled time: 1.31 units (timescale=0.515).
Factorization parameters were as follows:
n: 1644466370662719947377076138792961683933563558625226114127939483637559611905936523598092419010031244861042591679
m: 100000000000000000000000000000
c4: 1
c2: 12
c0: -10
skew: 1
type: snfs

Factor base limits: 450000/500000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [250000, 530001)
Relations: rels:996336, finalFF:98105
Initial matrix: 79114 x 98105 with sparse part having weight 4967314.
Pruned matrix : 76348 x 76807 with weight 2816378.
Total sieving time: 2.44 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,116,4,0,0,0,0,0,0,0,0,450000,500000,25,25,44,44,2.2,2.2,20000
total time: 2.55 hours.
 --------- CPU info (if available) ----------

(10¹¹⁵+15·10⁵⁷-1)/3 = 3333333333333333333333333333333333333333333333333333333338333333333333333333333333333333333333333333333333333333333_<115> = 2393 · 1231157788181_<13> · C100

C100 = P48 · P52

P48 = 306958124382034974756967068594314634533151237563_<48>

P52 = 3685897020730000823308245598219789448649704874744427_<52>

Number: 33833_57
N=1131416036148611738512520531035854993593229590770021923344217337935033316596665569289423158387311401
  ( 100 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=306958124382034974756967068594314634533151237563 (pp48)
 r2=3685897020730000823308245598219789448649704874744427 (pp52)
Version: GGNFS-0.77.0
Total time: 2.10 hours.
Scaled time: 1.40 units (timescale=0.666).
Factorization parameters were as follows:
n: 1131416036148611738512520531035854993593229590770021923344217337935033316596665569289423158387311401
m: 100000000000000000000000000000
c4: 1
c2: 15
c0: -10
skew: 2
type: snfs
Factor base limits: 450000/500000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [250000, 470001)
Relations: rels:940975, finalFF:89665
Initial matrix: 79221 x 89665 with sparse part having weight 3802201.
Pruned matrix : 75690 x 76150 with weight 2618646.
Total sieving time: 2.02 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,116,4,0,0,0,0,0,0,0,0,450000,500000,25,25,44,44,2.2,2.2,20000
total time: 2.10 hours.
 --------- CPU info (if available) ----------

(7·10¹¹⁵-18·10⁵⁷-7)/9 = 7777777777777777777777777777777777777777777777777777777775777777777777777777777777777777777777777777777777777777777_<115> = C115

C115 = P52 · P64

P52 = 4908080039210391222640407293380788169196549342459237_<52>

P64 = 1584688455697854041471015089623685838814364850834967536965947421_<64>

Number: 77577_57
N=7777777777777777777777777777777777777777777777777777777775777777777777777777777777777777777777777777777777777777777
  ( 115 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=4908080039210391222640407293380788169196549342459237 (pp52)
 r2=1584688455697854041471015089623685838814364850834967536965947421 (pp64)
Version: GGNFS-0.77.0
Total time: 3.59 hours.
Scaled time: 1.77 units (timescale=0.493).
Factorization parameters were as follows:
n: 7777777777777777777777777777777777777777777777777777777775777777777777777777777777777777777777777777777777777777777
m: 100000000000000000000000000000
c4: 7
c2: -18
c0: -70
skew: 1
type: snfs

Factor base limits: 450000/500000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [250000, 650001)
Relations: rels:1065108, finalFF:100595
Initial matrix: 78902 x 100595 with sparse part having weight 7168396.
Pruned matrix : 76776 x 77234 with weight 4019116.
Total sieving time: 3.46 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,116,4,0,0,0,0,0,0,0,0,450000,500000,25,25,44,44,2.2,2.2,20000
total time: 3.59 hours.
 --------- CPU info (if available) ----------

10¹¹⁵-4·10⁵⁷-1 = 9999999999999999999999999999999999999999999999999999999995999999999999999999999999999999999999999999999999999999999_<115> = 13 · 137 · 1194883 · C106

C106 = P34 · P72

P34 = 4852747805592539495163744803133599_<34>

P72 = 968329084334870313982674682982929518043498846672500388409613165012933887_<72>

Number: 99599_57
N=4699056839097475027923240697895219089490982623407994609623557602711362938725638519273752326011402215369313
  ( 106 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=4852747805592539495163744803133599 (pp34)
 r2=968329084334870313982674682982929518043498846672500388409613165012933887 (pp72)
Version: GGNFS-0.77.0
Total time: 3.09 hours.
Scaled time: 2.06 units (timescale=0.666).
Factorization parameters were as follows:
n: 4699056839097475027923240697895219089490982623407994609623557602711362938725638519273752326011402215369313
m: 100000000000000000000000000000
c4: 1
c2: -4
c0: -10
skew: 1
type: snfs
Factor base limits: 450000/500000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [250000, 470001)
Relations: rels:950866, finalFF:94878
Initial matrix: 79138 x 94878 with sparse part having weight 3927146.
Pruned matrix : 75076 x 75535 with weight 2345605.
Total sieving time: 3.01 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,116,4,0,0,0,0,0,0,0,0,450000,500000,25,25,44,44,2.2,2.2,20000
total time: 3.09 hours.
 --------- CPU info (if available) ----------

(10¹¹⁷+27·10⁵⁸-1)/9 = 111111111111111111111111111111111111111111111111111111111141111111111111111111111111111111111111111111111111111111111_<117> = 3 · 577 · 8027653 · 61641233 · C99

C99 = P43 · P56

P43 = 5065140752510854061760607620209676868683793_<43>

P56 = 25609965628497937933852965660649941693207706728575971433_<56>

Number: 11411_58
N=129718080575307152939593060677792797508185443603287980222315432916655409434376032657182061078085369
  ( 99 digits)
SNFS difficulty: 117 digits.
Divisors found:
 r1=5065140752510854061760607620209676868683793 (pp43)
 r2=25609965628497937933852965660649941693207706728575971433 (pp56)
Version: GGNFS-0.77.0
Total time: 2.69 hours.
Scaled time: 1.40 units (timescale=0.520).
Factorization parameters were as follows:
n: 129718080575307152939593060677792797508185443603287980222315432916655409434376032657182061078085369
m: 100000000000000000000000000000
c4: 10
c2: 27
c0: -1
skew: 1
type: snfs

Factor base limits: 450000/500000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [250000, 550001)
Relations: rels:1007723, finalFF:98616
Initial matrix: 78891 x 98616 with sparse part having weight 5615518.
Pruned matrix : 76245 x 76703 with weight 3186772.
Total sieving time: 2.58 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,117,4,0,0,0,0,0,0,0,0,450000,500000,25,25,44,44,2.2,2.2,20000
total time: 2.69 hours.
 --------- CPU info (if available) ----------

(10¹¹⁷+45·10⁵⁸-1)/9 = 111111111111111111111111111111111111111111111111111111111161111111111111111111111111111111111111111111111111111111111_<117> = 61 · 236738683 · 796661287 · C97

C97 = P48 · P50

P48 = 135787335879847052117995871864275155605531819309_<48>

P50 = 71125518781059145398811824502730133138028838682859_<50>

Number: 11611_58
N=9657944708352047860960209932867324070349109088768119335634894324290753178813349969885085543524431
  ( 97 digits)
SNFS difficulty: 117 digits.
Divisors found:
 r1=135787335879847052117995871864275155605531819309 (pp48)
 r2=71125518781059145398811824502730133138028838682859 (pp50)
Version: GGNFS-0.77.0
Total time: 2.91 hours.
Scaled time: 1.55 units (timescale=0.531).
Factorization parameters were as follows:
n: 9657944708352047860960209932867324070349109088768119335634894324290753178813349969885085543524431
m: 100000000000000000000000000000
c4: 10
c2: 45
c0: -1
skew: 1
type: snfs
Factor base limits: 450000/500000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [250000, 570001)
Relations: rels:1014071, finalFF:97992
Initial matrix: 79572 x 97992 with sparse part having weight 5837598.
Pruned matrix : 77309 x 77770 with weight 3430827.
Total sieving time: 2.79 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,117,4,0,0,0,0,0,0,0,0,450000,500000,25,25,44,44,2.2,2.2,20000
total time: 2.91 hours.
 --------- CPU info (if available) ----------

(7·10¹¹⁷-54·10⁵⁸-7)/9 = 777777777777777777777777777777777777777777777777777777777717777777777777777777777777777777777777777777777777777777777_<117> = 3 · 31 · 246215477721397_<15> · C101

C101 = P43 · P58

P43 = 7436133140659442385548835932506707046413757_<43>

P58 = 4567831495851777890065525263466628947820067971004992971141_<58>

Number: 77177_58
N=33967003167251399794645133260045825646916219341299905478454692307871488279924961341548732236246386737
  ( 101 digits)
SNFS difficulty: 117 digits.
Divisors found:
 r1=7436133140659442385548835932506707046413757 (pp43)
 r2=4567831495851777890065525263466628947820067971004992971141 (pp58)
Version: GGNFS-0.77.0
Total time: 2.55 hours.
Scaled time: 1.35 units (timescale=0.528).
Factorization parameters were as follows:
n: 33967003167251399794645133260045825646916219341299905478454692307871488279924961341548732236246386737
m: 100000000000000000000000000000
c4: 70
c2: -54
c0: -7
skew: 1
type: snfs

Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 600001)
Relations: rels:2067303, finalFF:237523
Initial matrix: 113167 x 237523 with sparse part having weight 18271994.
Pruned matrix : 92912 x 93541 with weight 3526662.
Total sieving time: 2.35 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,117,4,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.55 hours.
 --------- CPU info (if available) ----------

(10¹¹⁹+12·10⁵⁹-1)/3 = 33333333333333333333333333333333333333333333333333333333333733333333333333333333333333333333333333333333333333333333333_<119> = 111324733043870420471_<21> · C99

C99 = P48 · P51

P48 = 308211849605544240835568581016509315437856263793_<48>

P51 = 971488695035825098075317941943151005423919561020611_<51>

Number: 33733_59
N=299424327567868159034205996320781824853881802541928041446853984801691227231070885593718410326037523
  ( 99 digits)
SNFS difficulty: 120 digits.
Divisors found:
 r1=308211849605544240835568581016509315437856263793 (pp48)
 r2=971488695035825098075317941943151005423919561020611 (pp51)
Version: GGNFS-0.77.0
Total time: 3.36 hours.
Scaled time: 1.75 units (timescale=0.522).
Factorization parameters were as follows:
n: 299424327567868159034205996320781824853881802541928041446853984801691227231070885593718410326037523
m: 1000000000000000000000000000000
c4: 1
c2: 12
c0: -10
skew: 1
type: snfs

Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 700001)
Relations: rels:1962436, finalFF:174914
Initial matrix: 112797 x 174914 with sparse part having weight 13616240.
Pruned matrix : 103663 x 104290 with weight 4646396.
Total sieving time: 3.10 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.17 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,120,4,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 3.36 hours.
 --------- CPU info (if available) ----------

(10¹²⁹+36·10⁶⁴-1)/9 = 111111111111111111111111111111111111111111111111111111111111111151111111111111111111111111111111111111111111111111111111111111111_<129> = C129

C129 = P44 · P85

P44 = 27945924115886081520186115873492249633626509_<44>

P85 = 3975932613656140341832640138776451769428432018427577039849181790005930696680086774179_<85>

Number: 11511_64
N=111111111111111111111111111111111111111111111111111111111111111151111111111111111111111111111111111111111111111111111111111111111
  ( 129 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=27945924115886081520186115873492249633626509 (pp44)
 r2=3975932613656140341832640138776451769428432018427577039849181790005930696680086774179 (pp85)
Version: GGNFS-0.77.0
Total time: 8.58 hours.
Scaled time: 5.71 units (timescale=0.666).
Factorization parameters were as follows:
n: 111111111111111111111111111111111111111111111111111111111111111151111111111111111111111111111111111111111111111111111111111111111 
m: 100000000000000000000000000000000
c4: 10
c2: 36
c0: -1
skew: 1
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 1300001)
Relations: rels:1354867, finalFF:151956
Initial matrix: 128161 x 151956 with sparse part having weight 12215409.
Pruned matrix : 124885 x 125589 with weight 8140496.
Total sieving time: 8.33 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.16 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,129,4,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 8.58 hours.
 --------- CPU info (if available) ----------

Note: Anton Korobeynikov factored (10¹¹³+36·10⁵⁶-1)/9 and 10¹⁰⁹-8·10⁵⁴-1, but his contribution was nine minutes later than Kenichiro Yamaguchi's.

May 31, 2005

By Wataru Sakai / GMP-ECM 6.0.1

(7·10¹³⁵+18·10⁶⁷-7)/9 = 777777777777777777777777777777777777777777777777777777777777777777797777777777777777777777777777777777777777777777777777777777777777777_<135> = 773 · 86243 · 8614488740089_<13> · C115

C115 = P37 · P40

P37 = 1663324327429868751805378948966050587_<37>

P39 = 387650468324949599507682683465222114951_<39>

P40 = 2100416500199564786760232889489961369251_<40>

May 30, 2005 (2nd)

By Anton Korobeynikov / GGNFS-0.77.1

(10¹²¹+27·10⁶⁰-1)/9 = 1111111111111111111111111111111111111111111111111111111111114111111111111111111111111111111111111111111111111111111111111_<121> = 17 · 115095827706061_<15> · C105

C105 = P47 · P59

P47 = 47459086872093725996332476011943002625277029271_<47>

P59 = 11965465825127895232065620165417313902504402599170293517893_<59>

Number: gnfs5
N=567870082059813415535159171601683123876552480939754994178199080429482139951219591100555235087242923246003
  ( 105 digits)
Divisors found:
 r1=47459086872093725996332476011943002625277029271 (pp47)
 r2=11965465825127895232065620165417313902504402599170293517893 (pp59)
Version: GGNFS-0.77.1
Total time: 16.43 hours.
Scaled time: 15.33 units (timescale=0.933).
Factorization parameters were as follows:
name: gnfs5
n: 567870082059813415535159171601683123876552480939754994178199080429482139951219591100555235087242923246003
skew: 14335.76
# norm 5.12e+014
c5: 37440
c4: 1944510404
c3: -45387576263895
c2: -426643148999114482
c1: 3709450062469033051632
c0: -83630126705488587555040
# alpha -6.10
Y1: 37786218649
Y0: -108687865900264580697
# Murphy_E 1.75e-009
# M 15469832489107710233407678271545753777254619409811618845587885605019311414693377626725783371249851671073
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Sieved special-q in [1250000, 2300001)
Relations: rels:4823687, finalFF:592317
Initial matrix: 365969 x 592317 with sparse part having weight 46324999.
Pruned matrix : 287703 x 289596 with weight 13988219.
Polynomial selection time: 0.39 hours.
Total sieving time: 14.23 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 1.39 hours.
Time per square root: 0.18 hours.
Prototype def-par.txt line would be:
gnfs,104,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 16.43 hours.
 --------- CPU info (if available) ----------

May 30, 2005

By Makoto Kamada / GMP-ECM 6.0

10¹²⁹-7·10⁶⁴-1 = 999999999999999999999999999999999999999999999999999999999999999929999999999999999999999999999999999999999999999999999999999999999_<129> = 139 · 179 · 13099 · C121

C121 = P32 · P89

P32 = 84155191976690091375532717318429_<32>

P89 = 36459701740409770008678743621002179900547434706089737737604298284369304773209328624822449_<89>

(10¹⁰⁹-6·10⁵⁴-1)/3 = 3333333333333333333333333333333333333333333333333333331333333333333333333333333333333333333333333333333333333_<109> = 83251691 · C101

C101 = P31 · P70

P31 = 9565193224123604325335978668643_<31>

P70 = 4185929736346760083081744088349273869606358281355142376988028286103541_<70>

May 29, 2005 (5th)

By Kenichiro Yamaguchi / msieve.exe 0.88, GGNFS-0.77.0

(10¹³⁷+54·10⁶⁸-1)/9 = 11111111111111111111111111111111111111111111111111111111111111111111711111111111111111111111111111111111111111111111111111111111111111111_<137> = 7 · 4515899 · 19200798853997587_<17> · 454411363873976465587_<21> · C92

C92 = P41 · P52

P41 = 14313185525372337396377829606606981536809_<41>

P52 = 2814559590977327949542708606165688761376822478343587_<52>

(10¹³⁵+54·10⁶⁷-1)/9 = 111111111111111111111111111111111111111111111111111111111111111111171111111111111111111111111111111111111111111111111111111111111111111_<135> = 3 · 2891733829_<10> · 12657895752004974029092713409_<29> · C97

C97 = P39 · P58

P39 = 728220199784734510278259473026131505653_<39>

P58 = 1389484428551256313652850387809037007900312878781218672389_<58>

10¹⁰⁷-8·10⁵³-1 = 99999999999999999999999999999999999999999999999999999199999999999999999999999999999999999999999999999999999_<107> = 857 · 3152693 · C98

C98 = P39 · P59

P39 = 414356618114911461820039730429966789779_<39>

P59 = 89322982506893702114203748740442802204720125497732825880281_<59>

Number: 99199_53
N=37011568951493870587533907468807331625838897143391997801441742068877218868957831250504391348447899
  ( 98 digits)
SNFS difficulty: 108 digits.
Divisors found:
 r1=414356618114911461820039730429966789779 (pp39)
 r2=89322982506893702114203748740442802204720125497732825880281 (pp59)
Version: GGNFS-0.77.0
Total time: 1.24 hours.
Scaled time: 0.63 units (timescale=0.505).
Factorization parameters were as follows:
n: 37011568951493870587533907468807331625838897143391997801441742068877218868957831250504391348447899 
type: snfs
m: 1000000000000000000000000000
c4: 1
c2: -8 
c0: -10
skew: 1 
Factor base limits: 450000/500000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [250000, 370001)
Relations: rels:1051910, finalFF:127238
Initial matrix: 79232 x 127238 with sparse part having weight 5240380.
Pruned matrix : 66545 x 67005 with weight 1657725.
Total sieving time: 1.17 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,108,4,0,0,0,0,0,0,0,0,450000,500000,25,25,44,44,2.2,2.2,20000
total time: 1.24 hours.
 --------- CPU info (if available) ----------

10¹⁰⁷-4·10⁵³-1 = 99999999999999999999999999999999999999999999999999999599999999999999999999999999999999999999999999999999999_<107> = 13 · 47 · 1637 · 3559 · C98

C98 = P36 · P62

P36 = 374546534899059572140342925545382219_<36>

P62 = 75002603471220634662157651405579337049820078686199957972326517_<62>

Number: 99599_53
N=28091965238553866048238832207139135124008256955603671242637769766991191519618434207496401434001223
  ( 98 digits)
SNFS difficulty: 108 digits.
Divisors found:
 r1=374546534899059572140342925545382219 (pp36)
 r2=75002603471220634662157651405579337049820078686199957972326517 (pp62)
Version: GGNFS-0.77.0
Total time: 0.92 hours.
Scaled time: 0.61 units (timescale=0.666).
Factorization parameters were as follows:
n: 28091965238553866048238832207139135124008256955603671242637769766991191519618434207496401434001223 
type: snfs
m:  1000000000000000000000000000 
c4: 1 
c2: -4
c0: -10
skew: 1
Factor base limits: 450000/500000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [250000, 330001)
Relations: rels:942406, finalFF:104654
Initial matrix: 79138 x 104654 with sparse part having weight 3826816.
Pruned matrix : 66569 x 67028 with weight 1676911.
Total sieving time: 0.86 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,108,4,0,0,0,0,0,0,0,0,450000,500000,25,25,44,44,2.2,2.2,20000
total time: 0.92 hours.
 --------- CPU info (if available) ----------

(10¹²¹+18·10⁶⁰-1)/9 = 1111111111111111111111111111111111111111111111111111111111113111111111111111111111111111111111111111111111111111111111111_<121> = 3 · C120

C120 = P45 · P76

P45 = 154447398234564225886342941831524047483429993_<45>

P76 = 2398035671717026850696633658703135676844129777545406909287166321087776404709_<76>

Number: 11311_60
N=370370370370370370370370370370370370370370370370370370370371037037037037037037037037037037037037037037037037037037037037
  ( 120 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=154447398234564225886342941831524047483429993 (pp45)
 r2=2398035671717026850696633658703135676844129777545406909287166321087776404709 (pp76)
Version: GGNFS-0.77.0
Total time: 2.97 hours.
Scaled time: 1.51 units (timescale=0.509).
Factorization parameters were as follows:
n: 370370370370370370370370370370370370370370370370370370370371037037037037037037037037037037037037037037037037037037037037 
type: snfs
m: 1000000000000000000000000000000
c4: 10
c2: 18 
c0: -1
skew: 1 
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 650001)
Relations: rels:1783391, finalFF:127446
Initial matrix: 112851 x 127446 with sparse part having weight 8948596.
Pruned matrix : 106928 x 107556 with weight 6173871.
Total sieving time: 2.66 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.23 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,121,4,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.97 hours.
 --------- CPU info (if available) ----------

May 29, 2005 (4th)

By Patrick Keller / GMP-ECM

10¹⁷⁵-9 = (9)₁₇₄1_<175> = 83 · 89 · 277590538396397099817467_<24> · C148

C148 = P33 · C115

P33 = 896295447371381022541530417241001_<33>

C115 = [5440966491433929111554214944089000588930816682352861497343960642779983221200574467638376340734669429663292048678679_<115>]

10¹⁷¹-9 = (9)₁₇₀1_<171> = 307 · 1341257227_<10> · 119089804935077063337409_<24> · C137

C137 = P33 · P104

P33 = 345902145520852319930047561079359_<33>

P104 = 58955144714945402926154900462795557653240056734408286929929832931465190563110621663093933530297499871449_<104>

May 29, 2005 (3rd)

By Anton Korobeynikov / GGNFS-0.77.1 gnfs

(10¹³⁷+18·10⁶⁸-1)/9 = 11111111111111111111111111111111111111111111111111111111111111111111311111111111111111111111111111111111111111111111111111111111111111111_<137> = 11884518378563_<14> · 356467085933449629373_<21> · C103

C103 = P31 · P73

P31 = 1751194939250977175066504995391_<31>

P73 = 1497690153747151706489837868528375292873487187807515370827980740505032079_<73>

Number: gnfs4
N=2622747417808029997982597206660787270843451021149865733158562304472604859115885720472920750426202147889
  ( 103 digits)
Divisors found:
 r1=1751194939250977175066504995391 (pp31)
 r2=1497690153747151706489837868528375292873487187807515370827980740505032079 (pp73)
Version: GGNFS-0.77.1
Total time: 11.63 hours.
Scaled time: 11.17 units (timescale=0.961).
Factorization parameters were as follows:
name: gnfs4
n: 2622747417808029997982597206660787270843451021149865733158562304472604859115885720472920750426202147889
skew: 6092.58
# norm 7.80e+013
c5: 84660
c4: 787939364
c3: -11889912774020
c2: -9464874867711633
c1: 223338456233986816640
c0: -2147230794979185261251
# alpha -5.54
Y1: 3944604389
Y0: -31493109234514470132
# Murphy_E 2.49e-009
# M 420237040652658581664185305147895703920967006947089344799308241117947841995169886666201930925408486959
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Sieved special-q in [1150000, 1850001)
Relations: rels:4287216, finalFF:401874
Initial matrix: 338718 x 401874 with sparse part having weight 27658829.
Pruned matrix : 307831 x 309588 with weight 15423708.
Polynomial selection time: 0.34 hours.
Total sieving time: 9.38 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 1.55 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
gnfs,102,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 11.63 hours.
 --------- CPU info (if available) ----------

May 29, 2005 (2nd)

By Wataru Sakai / GMP-ECM 6.0.1, msieve 0.87

(82·10¹⁵⁶-1)/9 = 9(1)₁₅₆_<157> = 3 · 9547 · 16312421962724562748109_<23> · C131

C131 = P29 · P102

P29 = 23847359044211639844297349373_<29>

P102 = 817757297067985689366455987350914026717127875676712752907056223542707404820179774687144818115652343103_<102>

(88·10²⁰⁰-7)/9 = 9(7)₂₀₀_<201> = 157 · 857 · 252509 · 24774025606639_<14> · C178

C178 = P35 · C143

P35 = 20683264482894007536309560322300919_<35>

C143 = [56165180484430952300766307618116484534228422042636160492389602943693696922297926733979303491972770778598171625374154176211273951939843834033017_<143>]

(7·10¹³⁹+18·10⁶⁹-7)/9 = 7777777777777777777777777777777777777777777777777777777777777777777779777777777777777777777777777777777777777777777777777777777777777777777_<139> = 3 · 19 · 367726742400556949_<18> · C120

C120 = P37 · P84

P37 = 1202799848920924442516240468089776659_<37>

P84 = 308504920753738400372402167367864783908593178388449262790541100806255639227144081271_<84>

(7·10¹⁴³+18·10⁷¹-7)/9 = 77777777777777777777777777777777777777777777777777777777777777777777777977777777777777777777777777777777777777777777777777777777777777777777777_<143> = 61 · 113409823 · 2069483871187_<13> · C121

C121 = P29 · P37 · P57

P29 = 16193914714806288324400459669_<29>

P37 = 1956838260564091438065319057901820337_<37>

P57 = 171437647252353405893256996766843366184204177221854529669_<57>

May 29, 2005

By Makoto Kamada / GMP-ECM 6.0

10¹⁴¹-7·10⁷⁰-1 = 999999999999999999999999999999999999999999999999999999999999999999999929999999999999999999999999999999999999999999999999999999999999999999999_<141> = C141

C141 = P28 · P114

P28 = 2144063848942308174619150267_<28>

P114 = 466404020800645335317603705077097139450003543693708997687015676910602837533958429083018374604282996186473046432397_<114>

May 28, 2005 (6th)

By Patrick Keller / GMP-ECM

10¹⁸⁷-9 = (9)₁₈₆1_<187> = 381467 · 252250919 · 573590921 · 2468421133_<10> · 28220407597_<11> · 7739992696481_<13> · C132

C132 = P39 · P93

P39 = 623469605000773495978145688789573442397_<39>

P93 = 538976246538898546343223750880120388579184821372415393352789944003119846089632154549645112111_<93>

May 28, 2005 (5th)

By Kenichiro Yamaguchi / GMP-ECM 6.0, msieve.exe 0.88

10¹²⁹-4·10⁶⁴-1 = 999999999999999999999999999999999999999999999999999999999999999959999999999999999999999999999999999999999999999999999999999999999_<129> = 3023 · 34897 · 420865208494316969716449211_<27> · C95

C95 = P40 · P55

P40 = 4985055090497999350576552074159016833437_<40>

P55 = 4518151316303936463207381068077395206440013927504964047_<55>

(65·10¹⁸³+43)/9 = 7(2)₁₈₂7_<184> = 3³ · 11 · 437510417 · 774019032473969309_<18> · 88804488047812567397747_<23> · 149183001001371826586906639_<27> · C106

C106 = P35 · P72

P35 = 26872627742923218845406575311898441_<35>

P72 = 201701891060888755969503529121721296716388675952111719429087853881588699_<72>

(10¹²⁷+54·10⁶³-1)/9 = 1111111111111111111111111111111111111111111111111111111111111117111111111111111111111111111111111111111111111111111111111111111_<127> = 23 · 4027 · 2092935527_<10> · 2421442267_<10> · 3072430481_<10> · C93

C93 = P38 · P56

P38 = 31766801010355208922937360423462961519_<38>

P56 = 24252834790713373814264960469183545088234106770269084641_<56>

10¹⁰⁹-7·10⁵⁴-1 = 9999999999999999999999999999999999999999999999999999992999999999999999999999999999999999999999999999999999999_<109> = 15575939 · 49294699 · C95

C95 = P37 · P58

P37 = 3251950302580251089849442830097243673_<37>

P58 = 4004991911122812313206006402584252891736108995278772639383_<58>

(7·10¹²⁷-54·10⁶³-7)/9 = 7777777777777777777777777777777777777777777777777777777777777771777777777777777777777777777777777777777777777777777777777777777_<127> = 13 · 227 · 4409 · 7841 · 10086053 · 161992514875309_<15> · C95

C95 = P44 · P52

P44 = 33777481093212597155001234658360112711973319_<44>

P52 = 1381437735765544838986084600457935398914885649243241_<52>

(10¹⁴¹+27·10⁷⁰-1)/9 = 111111111111111111111111111111111111111111111111111111111111111111111141111111111111111111111111111111111111111111111111111111111111111111111_<141> = 3² · 997 · 48972441703330201283_<20> · 1414209683803549939759_<22> · C96

C96 = P40 · P56

P40 = 3128438403371047559055299994407289446267_<40>

P56 = 57151370546958962245454619832401430780610984111509139293_<56>

(10¹¹¹+63·10⁵⁵-1)/9 = 111111111111111111111111111111111111111111111111111111181111111111111111111111111111111111111111111111111111111_<111> = 201781 · 1564964579_<10> · C96

C96 = P40 · P57

P40 = 3193549642162468878804090924279436823327_<40>

P57 = 110179053399658378748454506743056428416316517795865879207_<57>

10¹⁴⁷-4·10⁷³-1 = 999999999999999999999999999999999999999999999999999999999999999999999999959999999999999999999999999999999999999999999999999999999999999999999999999_<147> = 7 · 137 · 29063 · 3286768633530139_<16> · 25663232614150611623750872789_<29> · C96

C96 = P34 · P63

P34 = 2016779576750328637594482016979767_<34>

P63 = 210912355506634775150586992064179278706741771958204658151188871_<63>

May 28, 2005 (4th)

By Patrick Keller / GMP-ECM

10¹⁶³-9 = (9)₁₆₂1_<163> = 31 · 197 · 12803410721_<11> · 46745703973_<11> · 836469155018551_<15> · C124

C124 = P38 · P87

P38 = 17629888376681459284632404389201355683_<38>

P87 = 185526180890784762356394559001150584399176683003863408727544883590129373766517842415517_<87>

May 28, 2005 (3rd)

By Sinkiti Sibata / GGNFS-0.77.1

10¹³⁵-10⁶⁷-1 = 999999999999999999999999999999999999999999999999999999999999999999989999999999999999999999999999999999999999999999999999999999999999999_<135> = 23 · 59 · 39724027106266234183_<20> · C113

C113 = P51 · P62

P51 = 457218875534555213276407439012533005109793918496731_<51>

P62 = 40573524158501361881716107525796537655755812002892882570878359_<62>

Number: 989_67
N=18550981092224103225449286918159060791181095591717298826560349761026563673147412500788109491518427188335540144429
  ( 113 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=457218875534555213276407439012533005109793918496731 (pp51)
 r2=40573524158501361881716107525796537655755812002892882570878359 (pp62)
Version: GGNFS-0.77.1
Total time: 32.58 hours.
Scaled time: 19.45 units (timescale=0.597).
Factorization parameters were as follows:
name: 989_67
n: 18550981092224103225449286918159060791181095591717298826560349761026563673147412500788109491518427188335540144429
m: 100000000000000000000000
c6: 1
c3: -10
c0: -1000
skew: 2
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 3700001)
Relations: rels:1927342, finalFF:162460
Initial matrix: 141967 x 162460 with sparse part having weight 19810564.
Pruned matrix : 139075 x 139848 with weight 15477523.
Total sieving time: 31.26 hours.
Total relation processing time: 0.39 hours.
Matrix solve time: 0.81 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,138,6,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 32.58 hours.
 --------- CPU info (if available) ----------

May 28, 2005 (2nd)

By Greg Childers / GGNFS-0.77.1

(7·10¹⁸⁵-43)/9 = (7)₁₈₄3_<185> = C185

C185 = P44 · P142

P44 = 32008449811803481359371419148663085311174753_<44>

P142 = 2429913920701537195653257244794400362540496676122054998829229994157007730833989529140955460253780141382235381247584345406026287841009528979341_<142>

Number: snfs
N=77777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777773
  ( 185 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=32008449811803481359371419148663085311174753 (pp44)
 r2=2429913920701537195653257244794400362540496676122054998829229994157007730833989529140955460253780141382235381247584345406026287841009528979341 (pp142)
Version: GGNFS-0.77.1
Total time: 862.60 hours.
Scaled time: 1079.97 units (timescale=1.252).
Factorization parameters were as follows:
type: snfs
n: 77777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777773
c0: -43
c5: 7
m: 10000000000000000000000000000000000000
rlim: 11400000
alim: 11400000
lbpr: 28
lbpa: 28
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
skew: 2
qintsize: 100000
Factor base limits: 11400000/11400000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [5700000, 37600001)
Relations: rels:9000480, finalFF:1700123
Initial matrix: 1503341 x 1700123 with sparse part having weight 122334579.
Pruned matrix : 1421372 x 1428952 with weight 89185282.
Total sieving time: 834.48 hours.
Total relation processing time: 1.26 hours.
Matrix solve time: 26.55 hours.
Time per square root: 0.31 hours.
Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,11400000,11400000,27,27,48,48,2.3,2.3,100000
total time: 862.60 hours.
 --------- CPU info (if available) ----------

This is the largest number factored by GGNFS in our tables so far. Congratulations!
snfs.poly, s185-snfs.txt and ggnfs.log are here.

May 28, 2005

By Makoto Kamada / GMP-ECM 6.0

(10¹¹⁹+36·10⁵⁹-1)/9 = 11111111111111111111111111111111111111111111111111111111111511111111111111111111111111111111111111111111111111111111111_<119> = 3 · 2571038642676773_<16> · C103

C103 = P28 · P75

P28 = 6392934671445487795504864427_<28>

P75 = 225334331615978731213092328166228105739496278081435429366665967539227226747_<75>

May 27, 2005

By Anton Korobeynikov / GGNFS-0.77.1 gnfs

3·10¹⁵⁸-1 = 2(9)₁₅₈_<159> = 13 · 8713 · 5289083 · 695325459814498871_<18> · 8252373899553049676093269_<25> · C104

C104 = P33 · P71

P33 = 998030902239641757418958240703001_<33>

P71 = 87441739575224379973751656500118777910978931283986448286477478905281163_<71>

Number: gnfs3
N=87269558241664976941171743523399152072997467689934505077780861824100836287818417973959067903524682870163
  ( 104 digits)
Divisors found:
 r1=998030902239641757418958240703001 (pp33)
 r2=87441739575224379973751656500118777910978931283986448286477478905281163 (pp71)
Version: GGNFS-0.77.1
Total time: 13.78 hours.
Scaled time: 13.27 units (timescale=0.963).
Factorization parameters were as follows:
name: gnfs3
n: 87269558241664976941171743523399152072997467689934505077780861824100836287818417973959067903524682870163
skew: 6512.84
# norm 4.05e+014
c5: 302400
c4: -4914503460
c3: -41246694932601
c2: 306157117792400579
c1: 673982797329851774347
c0: 338491588138380638238735
# alpha -6.32
Y1: 79812995999
Y0: -49210580446986211138
# Murphy_E 2.06e-009
# M 69312058514180179646214467393127058775464002600639748974267261638839037718877412175006338668858689723057
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Sieved special-q in [1150000, 1950001)
Relations: rels:4486619, finalFF:462109
Initial matrix: 340108 x 462109 with sparse part having weight 33404399.
Pruned matrix : 292743 x 294507 with weight 13639379.
Total sieving time: 12.03 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 1.34 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
gnfs,103,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 13.78 hours.
 --------- CPU info (if available) ----------

May 26, 2005 (3rd)

By Makoto Kamada / GMP-ECM 6.0.1

(31·10¹⁵⁴-13)/9 = 3(4)₁₅₃3_<155> = 3 · 19 · 1231 · 10318115811615833350849_<23> · C128

C128 = P29 · C100

P29 = 26353110139075738702819279411_<29>

C100 = [1805319198152637110552879462456190401094804437798669002243297474445781549021760213855360595907310511_<100>]

10¹³³-7·10⁶⁶-1 = 9999999999999999999999999999999999999999999999999999999999999999992999999999999999999999999999999999999999999999999999999999999999999_<133> = 12659 · 746602123 · 4410268848809_<13> · C108

C108 = P28 · P29 · P52

P28 = 4106583907717825483024796569_<28>

P29 = 16190892924788094823835303809_<29>

P52 = 3608234986227038227691374458344815738114921516487663_<52>

10¹²⁹-4·10⁶⁴-1 = 999999999999999999999999999999999999999999999999999999999999999959999999999999999999999999999999999999999999999999999999999999999_<129> = 3023 · 34897 · C121

C121 = P27 · C95

P27 = 420865208494316969716449211_<27>

C95 = [22523233218981174874274506992886756872444546385425391165534866945038536041035300538852472439539_<95>]

May 26, 2005 (2nd)

By Anton Korobeynikov / GGNFS-0.77.1

(61·10¹⁵²-7)/9 = 6(7)₁₅₂_<153> = 17 · C152

C152 = P34 · P51 · P67

P34 = 6644741020324683338660889762398797_<34>

P51 = 653568484235930545992755143567549450586834986633949_<51>

P67 = 9180561481379755130002771608227144700517890465258033493396385684777_<67>

Number: snfs150
N=39869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281
  ( 152 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=6644741020324683338660889762398797 (pp34)
 r2=653568484235930545992755143567549450586834986633949 (pp51)
 r3=9180561481379755130002771608227144700517890465258033493396385684777 (pp67)
Version: GGNFS-0.77.1
Total time: 136.49 hours.
Scaled time: 140.45 units (timescale=1.029).
Factorization parameters were as follows:
n: 39869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281
m: 10000000000000000000000000000000
c5: 61
c4: 0
c3: 0
c2: 0
c1: 0
c0: -7000
type: snfs
skew: 2.583
rlim: 1800000
alim: 1800000
lpbr: 27
lpba: 27
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
qintsize: 150000

Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [900000, 900000)
Relations: rels:6238170, finalFF:314294
Initial matrix: 270363 x 314294 with sparse part having weight 43233532.
Pruned matrix : 266257 x 267672 with weight 33089144.
Total sieving time: 126.53 hours.
Total relation processing time: 1.27 hours.
Matrix solve time: 8.34 hours.
Time per square root: 0.36 hours.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,1800000,1800000,27,27,48,48,2.3,2.3,100000
total time: 136.49 hours.
 --------- CPU info (if available) ----------

May 26, 2005

By Makoto Kamada / GMP-ECM 6.0.1

(10¹⁶⁹-7)/3 = (3)₁₆₈1_<169> = 17 · 4733 · 139352063 · 3260459089039_<13> · 7029751437386928017_<19> · C125

C125 = P28 · P97

P28 = 9100128847669309064234747801_<28>

P97 = 1425324174076179638372477791453170504374600038221128051537168623484483012443920325912773835837559_<97>

(7·10¹⁵¹+9·10⁷⁵-7)/9 = 7777777777777777777777777777777777777777777777777777777777777777777777777778777777777777777777777777777777777777777777777777777777777777777777777777777_<151> = 233 · C149

C149 = P35 · P115

P35 = 17776744783583137231207036896284381_<35>

P115 = 1877791514243455325694289157533977185457209336693881585395281825669391492720990178722817995878367696091949710816349_<115>

May 25, 2005 (2nd)

By Makoto Kamada / GMP-ECM 6.0

(10¹⁰⁹+15·10⁵⁴-1)/3 = 3333333333333333333333333333333333333333333333333333338333333333333333333333333333333333333333333333333333333_<109> = 83 · 1956650355893_<13> · C95

C95 = P33 · P63

P33 = 120040242980259947498096594325557_<33>

P63 = 170986003217913056471372073467473368467588105527296203207890351_<63>

(7·10¹²⁹-45·10⁶⁴-7)/9 = 777777777777777777777777777777777777777777777777777777777777777727777777777777777777777777777777777777777777777777777777777777777_<129> = 109 · 428714851 · 83522064781_<11> · C108

C108 = P31 · P77

P31 = 2163778354737156310257087803969_<31>

P77 = 92097217750960062512364827641676003441792741509452024628218544383332251029827_<77>

(7·10¹⁵¹-54·10⁷⁵-7)/9 = 7777777777777777777777777777777777777777777777777777777777777777777777777771777777777777777777777777777777777777777777777777777777777777777777777777777_<151> = 13 · 9439 · 100957 · C141

C141 = P32 · P110

P32 = 15259102837190352718081605163427_<32>

P110 = 41145349481792644412746995441880726916474595572927980079494184481639138018783281866365289646038545354392770349_<110>

(10¹²⁹+15·10⁶⁴-1)/3 = 333333333333333333333333333333333333333333333333333333333333333383333333333333333333333333333333333333333333333333333333333333333_<129> = 59 · 269 · 15608700005794195613_<20> · C106

C106 = P35 · P71

P35 = 64439934556318421081650526458241843_<35>

P71 = 20881064229390047736452746078502197561074363845024365925108517058102397_<71>

May 25, 2005

By Kenichiro Yamaguchi / msieve.exe 0.88

(5·10¹⁵⁷+13)/9 = (5)₁₅₆7_<157> = 7² · 17 · 2047846013_<10> · 41713718687146763_<17> · 141858282562689602894713_<24> · C105

C105 = P32 · P74

P32 = 12036989567907669947288733486631_<32>

P74 = 45722893559072547537809074542875524349379052254666810881640758638573398197_<74>

(10¹²⁵+72·10⁶²-1)/9 = 11111111111111111111111111111111111111111111111111111111111111911111111111111111111111111111111111111111111111111111111111111_<125> = 2389 · 953987 · 18968627 · 2775561347959223_<16> · C92

C92 = P43 · P50

P43 = 1098642162176654441519817522652222818107953_<43>

P50 = 84286087540537874748782326125819061834261034092229_<50>

10¹²¹-2·10⁶⁰-1 = 9999999999999999999999999999999999999999999999999999999999997999999999999999999999999999999999999999999999999999999999999_<121> = 7 · 79 · 55843 · 847537822828545129739_<21> · C93

C93 = P45 · P49

P45 = 109571578298887190277624203489639735475924721_<45>

P49 = 3486977310257406995437536241850930394553144208599_<49>

(10¹⁰⁹+45·10⁵⁴-1)/9 = 1111111111111111111111111111111111111111111111111111116111111111111111111111111111111111111111111111111111111_<109> = 3 · 122173 · 7602097963_<10> · C91

C91 = P46 · P48

P46 = 3714221585498832116361811023568493971538656643_<46>

P48 = 107364257803138898198010947424194796754007241841_<48>

May 24, 2005 (3rd)

By Makoto Kamada / GMP-ECM 6.0

(10¹⁴⁷+27·10⁷³-1)/9 = 111111111111111111111111111111111111111111111111111111111111111111111111141111111111111111111111111111111111111111111111111111111111111111111111111_<147> = 3 · 157 · 716771303 · C135

C135 = P29 · P107

P29 = 21691265411054892111706285537_<29>

P107 = 15172986999368462759054744321112348555870769036614137185871812364471938931188436774906570402036347642801831_<107>

C131 = P31 · C101

P31 = 4871092716755507520521488122659_<31>

C101 = [14267681242632902152177306366085252051103423473492844666433028856134586465350584189623177369224854829_<101>]

10¹²⁵-8·10⁶²-1 = 99999999999999999999999999999999999999999999999999999999999999199999999999999999999999999999999999999999999999999999999999999_<125> = 311 · 91807 · 283007 · C113

C113 = P27 · P86

P27 = 316851147327813119486859679_<27>

P86 = 39058121600449204641292977018475065659076049457477469068459067018722999549731875886279_<86>

C129 = P26 · C103

P26 = 26707653448326308357669563_<26>

C103 = [8278499244828320278031558513661543374807561301980190150664926388700788596726190851264578119573768011253_<103>]

May 24, 2005 (2nd)

By Sinkiti Sibata / GGNFS-0.73.4

10¹³³-10⁶⁶-1 = 9999999999999999999999999999999999999999999999999999999999999999998999999999999999999999999999999999999999999999999999999999999999999_<133> = 353 · C131

C131 = P58 · P73

P58 = 5223404198864323076899326379413653580057029684034084525587_<58>

P73 = 5423400299784617038126491337385214152139516430815776771963160171909199109_<73>

Number: 989_66
N=28328611898016997167138810198300283286118980169971671388101983002830028328611898016997167138810198300283286118980169971671388101983
  ( 131 digits)
Divisors found:
 r1=5223404198864323076899326379413653580057029684034084525587 (pp58)
 r2=5423400299784617038126491337385214152139516430815776771963160171909199109 (pp73)
Version: GGNFS-0.73.4
Total time: 18.21 hours.
Scaled time: 9.89 units (timescale=0.543).
Factorization parameters were as follows:
name: 989_66
n: 28328611898016997167138810198300283286118980169971671388101983002830028328611898016997167138810198300283286118980169971671388101983
m: 10000000000000000000000
c6: 10
c3: -1
c0: -1
skew: 2
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 2000001)
Relations: rels:1764288, finalFF:144869
Initial matrix: 127751 x 144869 with sparse part having weight 12991195.
Pruned matrix : 122853 x 123555 with weight 10354709.
Total sieving time: 17.43 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 0.51 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,130,6,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 18.21 hours.
 --------- CPU info (if available) ----------

May 24, 2005

By Kenichiro Yamaguchi / msieve 0.88

(10¹⁷²+11)/3 = (3)₁₇₁7_<172> = 31 · 907 · 251233 · 101116567819_<12> · 178602295411801363_<18> · 1622460357508876958070948506561_<31> · C104

C104 = P40 · P64

P40 = 2586488233117993908441106682617065590041_<40>

P64 = 6226430181893202982281934771907993231632407455763205130902296461_<64>

(7·10¹⁵¹-27·10⁷⁵-7)/9 = 7777777777777777777777777777777777777777777777777777777777777777777777777774777777777777777777777777777777777777777777777777777777777777777777777777777_<151> = 5774471 · 4252139951_<10> · 72770519383_<11> · 931222080104549_<15> · 1712923197602588663_<19> · C91

C91 = P41 · P51

P41 = 13280346127391248754798433150075484438963_<41>

P51 = 205484823257492682748871731144092329617826431276519_<51>

(10¹³⁵+15·10⁶⁷-1)/3 = 333333333333333333333333333333333333333333333333333333333333333333383333333333333333333333333333333333333333333333333333333333333333333_<135> = 31181 · 419167597 · 435227946249541_<15> · 16671540113588573_<17> · C91

C91 = P42 · P49

P42 = 465914679394302097846559161854092817435803_<42>

P49 = 7544007538059824250299138722700014889615618279911_<49>

(7·10¹²⁷-36·10⁶³-7)/9 = 7777777777777777777777777777777777777777777777777777777777777773777777777777777777777777777777777777777777777777777777777777777_<127> = 3 · 11 · 23 · 31 · 161078063 · 1243383577_<10> · 460654904458129_<15> · C91

C91 = P46(1032...) · P46(3471...)

P46(1032...) = 1032237469239738908657273231850085971819224797_<46>

P46(3471...) = 3471004820115445227177637822551021743014176251_<46>

(10¹¹⁹+6·10⁵⁹-1)/3 = 33333333333333333333333333333333333333333333333333333333333533333333333333333333333333333333333333333333333333333333333_<119> = 907 · 12829 · 609382978664414532703_<21> · C91

C91 = P37 · P55

P37 = 1338207244643205259047230267905355153_<37>

P55 = 3512893286112204438088350553359005582198666921508379429_<55>

(10¹⁴⁵+6·10⁷²-1)/3 = 3333333333333333333333333333333333333333333333333333333333333333333333335333333333333333333333333333333333333333333333333333333333333333333333333_<145> = 7691 · 32077 · 995550558377383_<15> · 783312276099068845843358302247_<30> · C92

C92 = P40 · P52

P40 = 3923748421801970470514859242241507158549_<40>

P52 = 4415732765823410513207114380052039511120870153451231_<52>

May 23, 2005 (2nd)

By Sinkiti Sibata / GGNFS-0.73.4

10¹³¹-10⁶⁵-1 = 99999999999999999999999999999999999999999999999999999999999999999899999999999999999999999999999999999999999999999999999999999999999_<131> = C131

C131 = P39 · P93

P39 = 134534758392309648280446413525895437621_<39>

P93 = 743302334615975765465545033092533822909903868321676440025588043284561046359265067290782741219_<93>

Number: 989_65
N=99999999999999999999999999999999999999999999999999999999999999999899999999999999999999999999999999999999999999999999999999999999999
  ( 131 digits)
Divisors found:
 r1=134534758392309648280446413525895437621 (pp39)
 r2=743302334615975765465545033092533822909903868321676440025588043284561046359265067290782741219 (pp93)
Version: GGNFS-0.73.4
Total time: 13.08 hours.
Scaled time: 8.07 units (timescale=0.617).
Factorization parameters were as follows:
name: 989_65
n: 99999999999999999999999999999999999999999999999999999999999999999899999999999999999999999999999999999999999999999999999999999999999
m: 10000000000000000000000
c6: 1
c3: -1
c0: -10
skew: 2
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 1600001)
Relations: rels:1701129, finalFF:148579
Initial matrix: 127745 x 148579 with sparse part having weight 12261893.
Pruned matrix : 121364 x 122066 with weight 9215777.
Total sieving time: 12.35 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 0.48 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,131,6,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 13.08 hours.
 --------- CPU info (if available) ----------

May 23, 2005

By Patrick De Geest / May 22, 2005

(34·10⁴⁵⁸⁰⁴-43)/9 = 3(7)₄₅₈₀₃3_<45805> is PRP.

(34·10⁴⁶⁵⁶⁶-43)/9 = 3(7)₄₆₅₆₅3_<46567> is PRP.

May 22, 2005 (4th)

By Kenichiro Yamaguchi / GMP-ECM 6.0, msieve 0.88

(7·10¹³⁷+9·10⁶⁸-7)/9 = 77777777777777777777777777777777777777777777777777777777777777777777877777777777777777777777777777777777777777777777777777777777777777777_<137> = 3 · 257 · 839959 · 2935903 · 36737394213807579031743754402451_<32> · C91

C91 = P35 · P59

P35 = 55032065917158172553838143932297_<32>

P59 = 20233788067753443747817691407810728247577074404819508559273_<59>

10¹²³-2·10⁶¹-1 = 999999999999999999999999999999999999999999999999999999999999979999999999999999999999999999999999999999999999999999999999999_<123> = 11 · 586819 · 68326809933615200155550743_<26> · C91

C91 = P35 · P56

P35 = 81621426753868787364476347607262473_<35>

P56 = 27778437982184395248642414400527508129182616184176574449_<56>

(10¹³¹+63·10⁶⁵-1)/9 = 11111111111111111111111111111111111111111111111111111111111111111811111111111111111111111111111111111111111111111111111111111111111_<131> = 3 · 19853 · 1908201895425037_<16> · 36579430582020612359_<20> · C91

C91 = P46(1171...) · P46(2279...)

P46(1171...) = 1172738361630356443654057104426680574433499227_<46>

P46(2279...) = 2279017699242323185600245820373498110108250569_<46>

May 22, 2005 (3rd)

By Makoto Kamada / GMP-ECM 6.0

(10¹⁴³+6·10⁷¹-1)/3 = 33333333333333333333333333333333333333333333333333333333333333333333333533333333333333333333333333333333333333333333333333333333333333333333333_<143> = 1307 · 96323 · 19897892929_<11> · C125

C125 = P27 · P98

P27 = 341424160049256917945809543_<27>

P98 = 38973716178988479509060142999525143745864228500808442825066538660359033966971072926992308772002899_<98>

10¹²⁷-8·10⁶³-1 = 9999999999999999999999999999999999999999999999999999999999999991999999999999999999999999999999999999999999999999999999999999999_<127> = 17 · 4724051 · C120

C120 = P28 · P93

P28 = 1060225916314822690553170423_<28>

P93 = 117445960798160808874889516667862686525004294847424941869359285457466958648247564886087157139_<93>

(7·10¹⁴¹-9·10⁷⁰-7)/9 = 777777777777777777777777777777777777777777777777777777777777777777777767777777777777777777777777777777777777777777777777777777777777777777777_<141> = 839 · 1901 · 370761613 · C127

C127 = P32 · P96

P32 = 10906673881626821716046390518369_<32>

P96 = 120593628423246371252111545845338510452567779658062356329882728463209420834756147487790254788719_<96>

(10¹⁴⁹+63·10⁷⁴-1)/9 = 11111111111111111111111111111111111111111111111111111111111111111111111111811111111111111111111111111111111111111111111111111111111111111111111111111_<149> = 3 · 1123 · C145

C145 = P32 · P113

P32 = 41264888808076764227428851569963_<32>

P113 = 79923740376308506883185267562020504667215146030180684375172225112817305677000236160384114945090340989972859012813_<113>

May 22, 2005 (2nd)

By Kenichiro Yamaguchi / msieve 0.88

(10¹³⁷-6·10⁶⁸-1)/3 = 33333333333333333333333333333333333333333333333333333333333333333333133333333333333333333333333333333333333333333333333333333333333333333_<137> = 1905473 · 5965130489_<10> · 5881154628993643849289708313077_<31> · C90

C90 = P43 · P48

P43 = 2175523364041157722653608072755530132795577_<43>

P48 = 229207934538263470873750184171371089427598545841_<48>

May 22, 2005

By Sinkiti Sibata / GGNFS-0.73.4

10¹²⁵-10⁶²-1 = 99999999999999999999999999999999999999999999999999999999999999899999999999999999999999999999999999999999999999999999999999999_<125> = 759210964394892258539_<21> · C105

C105 = P38 · P67

P38 = 17917584972714049336810799980595241433_<38>

P67 = 7351196906759077269924957981770147293433930420124404381630195708677_<67>

Number: 989_62
N=131715695228008445392231138047810908816087190823041305076755114744831379949609678838856433996163348014141
  ( 105 digits)
Divisors found:
 r1=17917584972714049336810799980595241433 (pp38)
 r2=7351196906759077269924957981770147293433930420124404381630195708677 (pp67)
Version: GGNFS-0.73.4
Total time: 6.50 hours.
Scaled time: 4.00 units (timescale=0.616).
Factorization parameters were as follows:
name: 989_62
n: 131715695228008445392231138047810908816087190823041305076755114744831379949609678838856433996163348014141
m: 1000000000000000000000
c6: 1
c3: -1
c0: -10
skew: 2
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 900001)
Relations: rels:2459798, finalFF:134776
Initial matrix: 112892 x 134776 with sparse part having weight 10784666.
Pruned matrix : 108242 x 108870 with weight 7773720.
Total sieving time: 6.00 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.29 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,104,6,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 6.50 hours.
 --------- CPU info (if available) ----------

10¹²⁷-10⁶³-1 = 9999999999999999999999999999999999999999999999999999999999999998999999999999999999999999999999999999999999999999999999999999999_<127> = 139 · 19963 · C121

C121 = P34 · P87

P34 = 3774747091927625657743729451228357_<34>

P87 = 954710136764649859877801672538641593146625737922693616350593097127077693656695281647451_<87>

Number: 989_63
N=3603789312386187828778203705632398354221496819475742353569931711435940662888213698940161601120346021434618072210567968007
  ( 121 digits)
Divisors found:
 r1=3774747091927625657743729451228357 (pp34)
 r2=954710136764649859877801672538641593146625737922693616350593097127077693656695281647451 (pp87)
Version: GGNFS-0.73.4
Total time: 8.79 hours.
Scaled time: 5.42 units (timescale=0.616).
Factorization parameters were as follows:
name: 989_63
n: 3603789312386187828778203705632398354221496819475742353569931711435940662888213698940161601120346021434618072210567968007
m: 1000000000000000000000
c6: 10
c3: -1
c0: -1
skew: 2
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 1050001)
Relations: rels:2676355, finalFF:145845
Initial matrix: 112898 x 145845 with sparse part having weight 13058059.
Pruned matrix : 105901 x 106529 with weight 8608413.
Total sieving time: 8.22 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 0.32 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,120,6,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 8.79 hours.
 --------- CPU info (if available) ----------

May 21, 2005 (4th)

By Kenichiro Yamaguchi / GMP-ECM 6.0, msieve 0.88

(10¹²⁹+27·10⁶⁴-1)/9 = 111111111111111111111111111111111111111111111111111111111111111141111111111111111111111111111111111111111111111111111111111111111_<129> = 3 · 229 · 7433 · 603336401309_<12> · 2718920921881_<13> · C98

C98 = P35 · P63

P35 = 16580155254405099839166050795269699_<35>

P63 = 800003565624165775205426049303149164424460174761734294354699871_<63>

(10¹¹⁷-6·10⁵⁸-1)/3 = 333333333333333333333333333333333333333333333333333333333313333333333333333333333333333333333333333333333333333333333_<117> = 19 · 469632938395837837_<18> · C98

C98 = P35 · P64

P35 = 16199478652131001864659907838029411_<35>

P64 = 2306033209146727920310901572944094980784333460255998161762128401_<64>

(7·10¹²³-18·10⁶¹-7)/9 = 777777777777777777777777777777777777777777777777777777777777757777777777777777777777777777777777777777777777777777777777777_<123> = 3449 · 6871 · 50807861868243369889_<20> · C96

C96 = P32 · P65

P32 = 17450328388215055377787221810943_<32>

P65 = 37017566439168039104422333608344601468339846559874004893133421169_<65>

(7·10¹¹¹-9·10⁵⁵-7)/9 = 777777777777777777777777777777777777777777777777777777767777777777777777777777777777777777777777777777777777777_<111> = 13 · 127 · 75550068571_<11> · C97

C97 = P28 · P34 · P37

P28 = 1398875449059404663561023079_<28>

P34 = 4061919996384421056600492979688849_<34>

P37 = 1097395515226090243736324440518517847_<37>

(7·10¹¹⁷+9·10⁵⁸-7)/9 = 777777777777777777777777777777777777777777777777777777777787777777777777777777777777777777777777777777777777777777777_<117> = 13 · 157 · 127565493593678797_<18> · C97

C97 = P28 · P69

P28 = 3816485329241408769238794343_<28>

P69 = 782736732091222823624338574527061271248238692771398743903545134809307_<69>

May 21, 2005 (3rd)

By Patrick De Geest / May 20, 2005

(34·10⁴⁰⁹⁵⁸-43)/9 = 3(7)₄₀₉₅₇3_<40959> is PRP.

May 21, 2005 (2nd)

By Makoto Kamada / GMP-ECM 6.0, msieve 0.88

(10¹³⁷+27·10⁶⁸-1)/9 = 11111111111111111111111111111111111111111111111111111111111111111111411111111111111111111111111111111111111111111111111111111111111111111_<137> = 191 · 1278881 · 273907878924084919_<18> · C111

C111 = P28 · P41 · P42

P28 = 1950764269872405931083771119_<28>

P41 = 93626848981719000033421645464358272323153_<41>

P42 = 909251996533713121478823903598863077321777_<42>

(10¹²³+63·10⁶¹-1)/9 = 111111111111111111111111111111111111111111111111111111111111181111111111111111111111111111111111111111111111111111111111111_<123> = 1283 · C119

C119 = P32 · P39 · P49

P32 = 22251536947947596565110423945527_<32>

P39 = 543570858610855374065270283742491984643_<39>

P49 = 7160026912993706324620835310861726463487851990697_<49>

(10¹⁴³+12·10⁷¹-1)/3 = 33333333333333333333333333333333333333333333333333333333333333333333333733333333333333333333333333333333333333333333333333333333333333333333333_<143> = 229 · 233 · 359 · 29370583467427_<14> · C122

C122 = P34 · P35 · P55

P34 = 1139955221500910670343004478795499_<34>

P35 = 11417390360980963504449065910088531_<35>

P55 = 4552245519445037846543613429395879202820145361399432757_<55>

May 21, 2005

By Sinkiti Sibata / GGNFS-0.73.4

10¹¹⁵-10⁵⁷-1 = 9999999999999999999999999999999999999999999999999999999998999999999999999999999999999999999999999999999999999999999_<115> = 31² · 2940707668138657_<16> · C97

C97 = P31 · P66

P31 = 3973249710067366420956494214167_<31>

P66 = 890592222105420775989886473748923695401195757525847169120130701561_<66>

Number: 989_57
N=3538545288268614698164724762653861064869140149703171048609397054276917016824753945829919095214687
  ( 97 digits)
Divisors found:
 r1=3973249710067366420956494214167 (pp31)
 r2=890592222105420775989886473748923695401195757525847169120130701561 (pp66)
Version: GGNFS-0.73.4
Total time: 3.92 hours.
Scaled time: 2.13 units (timescale=0.543).
Factorization parameters were as follows:
name: 989_57
n: 3538545288268614698164724762653861064869140149703171048609397054276917016824753945829919095214687
m: 10000000000000000000
c6:  10
c3: -1
c0: -1
skew: 2
type: snfs
 Factor base limits: 450000/500000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [250000, 590001)
Relations: rels:1128217, finalFF:95253
Initial matrix: 79021 x 95253 with sparse part having weight 5826853.
Pruned matrix : 74261 x 74720 with weight 3748436.
Total sieving time: 3.70 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,96,6,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,450000,500000,25,25,44,44,2.2,2.2,20000
total time: 3.92 hours.
 --------- CPU info (if available) ----------

10¹²¹-10⁶⁰-1 = 9999999999999999999999999999999999999999999999999999999999998999999999999999999999999999999999999999999999999999999999999_<121> = 164963 · 495988049 · C108

C108 = P36 · P72

P36 = 141711241752071084469553066263261787_<36>

P72 = 862457966742904708912917315169458428756335831525053401912917042242675071_<72>

Number: 989_60
N=122219989426103452602535350211203431411856197087333455416273423515647540294052498753470318553378812851811877
  ( 108 digits)
SNFS difficulty: 119 digits.
Divisors found:
 r1=141711241752071084469553066263261787 (pp36)
 r2=862457966742904708912917315169458428756335831525053401912917042242675071 (pp72)
Version: GGNFS-0.73.4
Total time: 5.28 hours.
Scaled time: 2.87 units (timescale=0.543).
Factorization parameters were as follows:
name: 989_60
n: 122219989426103452602535350211203431411856197087333455416273423515647540294052498753470318553378812851811877
m: 100000000000000000000
c6: 10
c3: -1
c0: -1
skew: 2
type: snfsFactor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 750001)
Relations: rels:2250818, finalFF:137962
Initial matrix: 112898 x 137962 with sparse part having weight 10253216.
Pruned matrix : 106442 x 107070 with weight 6778600.
Total sieving time: 4.80 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.26 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,120,6,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 5.28 hours.
 --------- CPU info (if available) ----------

May 20, 2005 (5th)

By Patrick De Geest / May 16, 2005

(32·10⁴⁵⁸⁶⁰-23)/9 = 3(5)₄₅₈₅₉3_<45861> is PRP.

By Patrick De Geest / May 17, 2005

(32·10⁴⁷³⁰⁴-23)/9 = 3(5)₄₇₃₀₃3_<47305> is PRP.

By Patrick De Geest / May 18, 2005

(34·10³¹³¹⁶-43)/9 = 3(7)₃₁₃₁₅3_<31317> is PRP.

May 20, 2005 (4th)

By Makoto Kamada / GMP-ECM 6.0, msieve 0.88

(10¹³⁵+63·10⁶⁷-1)/9 = 111111111111111111111111111111111111111111111111111111111111111111181111111111111111111111111111111111111111111111111111111111111111111_<135> = 19 · 1657 · 773341 · 29598199 · 107136571621_<12> · C106

C106 = P28 · P39(5110...) · P39(7197...)

P28 = 3912727852822340451436281167_<28>

P39(5110...) = 511045478123870149675790965601129245891_<39>

P39(7197...) = 719727543520242603176408824608075026399_<39>

May 20, 2005 (3rd)

By Sinkiti Sibata / GGNFS-0.73.4

10¹⁰⁹-10⁵⁴-1 = 9999999999999999999999999999999999999999999999999999998999999999999999999999999999999999999999999999999999999_<109> = 365839 · 13835897 · C97

C97 = P34 · P63

P34 = 5480292912533378123538546154177489_<34>

P63 = 360494719038064366749818935134129293322105503442872232632531977_<63>

Number: 989_54
N=1975616653750015604084879369528402561201311833248544779287388599540646061927954512193081926065753
  ( 97 digits)
Divisors found:
 r1=5480292912533378123538546154177489 (pp34)
 r2=360494719038064366749818935134129293322105503442872232632531977 (pp63)
Version: GGNFS-0.73.4
Total time: 2.69 hours.
Scaled time: 1.46 units (timescale=0.543).
Factorization parameters were as follows:
name: 989_54
n: 1975616653750015604084879369528402561201311833248544779287388599540646061927954512193081926065753
m: 1000000000000000000
c6: 10
c3: -1
c0: -1
skew: 2
type: snfs
Factor base limits: 450000/500000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [250000, 470001)
Relations: rels:1047679, finalFF:97055
Initial matrix: 79021 x 97055 with sparse part having weight 4481244.
Pruned matrix : 71575 x 72034 with weight 2575777.
Total sieving time: 2.52 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,96,6,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,450000,500000,25,25,44,44,2.2,2.2,20000
total time: 2.69 hours.
 --------- CPU info (if available) ----------

10¹¹³-10⁵⁶-1 = 99999999999999999999999999999999999999999999999999999999899999999999999999999999999999999999999999999999999999999_<113> = 1087 · C110

C110 = P32 · P79

P32 = 50095838034814903462011545148739_<32>

P79 = 1836406451235725389377129252823059601781791833991426950438618187866012010892843_<79>

Number: 989_56
N=91996320147194112235510579576816927322907083716651333946550137994480220791168353265869365225390984360625574977
  ( 110 digits)
Divisors found:
 r1=50095838034814903462011545148739 (pp32)
 r2=1836406451235725389377129252823059601781791833991426950438618187866012010892843 (pp79)
Version: GGNFS-0.73.4
Total time: 3.16 hours.
Scaled time: 1.72 units (timescale=0.543).
Factorization parameters were as follows:
name: 989_56
n: 91996320147194112235510579576816927322907083716651333946550137994480220791168353265869365225390984360625574977
m: 10000000000000000000
c6: 1
c3: -1
c0: -10
skew: 2
type: snfs
Factor base limits: 450000/500000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [250000, 550001)
Relations: rels:1129676, finalFF:104514
Initial matrix: 79015 x 104514 with sparse part having weight 5751867.
Pruned matrix : 71083 x 71542 with weight 3005597.
Total sieving time: 2.98 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,109,6,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,450000,500000,25,25,44,44,2.2,2.2,20000
total time: 3.16 hours.
 --------- CPU info (if available) ----------

May 20, 2005 (2nd)

By Kenichiro Yamaguchi / GMP-ECM 6.0

(10¹²⁹+18·10⁶⁴-1)/9 = 111111111111111111111111111111111111111111111111111111111111111131111111111111111111111111111111111111111111111111111111111111111_<129> = 7 · 13 · 29 · 373 · 1441751 · 26296122219913865246456723_<26> · C91

C91 = P35 · P56

P35 = 40321278194829645764324261000814467_<35>

P56 = 73840224208972855385320950425785046549938136877650926043_<56>

10¹¹⁹-7·10⁵⁹-1 = 99999999999999999999999999999999999999999999999999999999999299999999999999999999999999999999999999999999999999999999999_<119> = 17 · 22395757 · 41946286906913353_<17> · C94

C94 = P30 · P65

P30 = 123658819313817785102748137207_<30>

P65 = 50636853728000579351440494333921542032222013836569228421518693701_<65>

May 20, 2005

By Makoto Kamada / GMP-ECM 6.0.1

(19·10¹⁵⁸-1)/9 = 2(1)₁₅₈_<159> = 61 · 39367 · 646669 · 62551217 · C139

C139 = P30 · P109

P30 = 739943625517252740521418808909_<30>

P109 = 2937193085089632089747224362641689745855264314033879001820429030148894557397526770204608930336708194542363229_<109>

May 19, 2005 (4th)

By Wataru Sakai / GMP-ECM 6.0.1

(88·10¹⁶⁰-7)/9 = 9(7)₁₆₀_<161> = 29 · 57143981 · 29050268097803_<14> · C139

C139 = P32 · P108

P32 = 12797616817258905881240792964979_<32>

P108 = 158705663419689548640820546836243221591433224257818175759969269756200229961046043606579913489262225820108329_<108>

May 19, 2005 (3rd)

By Sinkiti Sibata / GGNFS-0.73.4

10¹⁰⁷-10⁵³-1 = 99999999999999999999999999999999999999999999999999999899999999999999999999999999999999999999999999999999999_<107> = 23 · 32839 · 173651 · C96

C96 = P31 · P66

P31 = 3062906343272328403335314588051_<31>

P66 = 248926558232605450464903638036099864754505132117548139106701056967_<66>

Number: 989_53
N=762438734219595875796566303007468513292333489327487627379490616809939370695960241751495888501317
  ( 96 digits)
Divisors found:
 r1=3062906343272328403335314588051 (pp31)
 r2=248926558232605450464903638036099864754505132117548139106701056967 (pp66)
Version: GGNFS-0.73.4
Total time: 1.84 hours.
Scaled time: 1.13 units (timescale=0.615).
Factorization parameters were as follows:
name: 989_53
n: 762438734219595875796566303007468513292333489327487627379490616809939370695960241751495888501317
m: 1000000000000000000
c6: 1
c3: -1
c0: -10
skew: 2
type: snfs
Factor base limits: 450000/500000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [250000, 430001)
Relations: rels:1008727, finalFF:95323
Initial matrix: 79015 x 95323 with sparse part having weight 4049786.
Pruned matrix : 70714 x 71173 with weight 2329816.
Total sieving time: 1.71 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,95,6,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,450000,500000,25,25,44,44,2.2,2.2,20000
total time: 1.84 hours.
 --------- CPU info (if available) ----------

May 19, 2005 (2nd)

By Wataru Sakai / GMP-ECM 6.0.1

(7·10¹⁷⁷-1)/3 = 2(3)₁₇₇_<178> = 23 · 439 · 15647 · 429183371 · C161

C161 = P34 · C127

P34 = 5483344576421766728040771930475897_<34>

C127 = [6275739697976723819806501299282739999999585669035730393740043597615652824058877220711885165870344073033944621743703115150215001_<127>]

May 19, 2005

By Makoto Kamada / GMP-ECM 6.0

(7·10¹¹¹-36·10⁵⁵-7)/9 = 777777777777777777777777777777777777777777777777777777737777777777777777777777777777777777777777777777777777777_<111> = 11 · 2099 · 3853 · C103

C103 = P35 · P69

P35 = 70587955787369324756687672589930737_<35>

P69 = 123857067384091409450902892016396794597666091563939709740652675549013_<69>

May 18, 2005 (6th)

By Makoto Kamada / GMP-ECM 6.0

(7·10¹³⁹-36·10⁶⁹-7)/9 = 7777777777777777777777777777777777777777777777777777777777777777777773777777777777777777777777777777777777777777777777777777777777777777777_<139> = 3 · 11 · 15797 · 716351 · 32376096436055516917_<20> · C108

C108 = P28 · P80

P28 = 6794849866364274109775968451_<28>

P80 = 94675313249811029066676070602769416295992854464979734923966943315127403721715981_<80>

May 18, 2005 (4th)

577...77 was completed up to n=150 and extended to n=200.

All of the form D(R)_w were completed up to n=150.

May 18, 2005 (3rd)

(52·10¹⁴⁶-7)/9 = 5(7)₁₄₆_<147> = 53 · 126631 · 85962571 · 631459761977934293381057_<24> · C109

C109 = P43 · P66

P43 = 2142037134762324256832499675129124614771559_<43>

P66 = 740393939056520452153666798478006372560862505341587785632362025143_<66>

Number: 57777_146
N=1585951311812019992698173565971738137344305296418861072834339379658536807340693798747632951224567781559307937
  ( 109 digits)
SNFS difficulty: 148 digits.
Divisors found:
 r1=2142037134762324256832499675129124614771559 (pp43)
 r2=740393939056520452153666798478006372560862505341587785632362025143 (pp66)
Version: GGNFS-0.77.1
Total time: 28.07 hours.
Scaled time: 32.68 units (timescale=1.164).
Factorization parameters were as follows:
name: 57777_146
n: 1585951311812019992698173565971738137344305296418861072834339379658536807340693798747632951224567781559307937
c5: 65
c0: -28
m: 200000000000000000000000000000
type: snfs
skew: 1.4
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Sieved special-q in [750000, 750000)
Relations: rels:2957326, finalFF:286738
Initial matrix: 228454 x 286738 with sparse part having weight 36340510.
Pruned matrix : 222150 x 223356 with weight 23019813.
Total sieving time: 27.29 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.57 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,148,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000
total time: 28.07 hours.
 --------- CPU info (if available) ----------
Pentium M, 1.8GHz, 1GB RAM, with additional sieving on a
Pentium 3, 1.13GHz, 384MB RAM
elapsed time: ~16 hours

May 18, 2005 (2nd)

By Makoto Kamada / GMP-ECM 6.0, msieve 0.88

(10¹³⁵+36·10⁶⁷-1)/9 = 111111111111111111111111111111111111111111111111111111111111111111151111111111111111111111111111111111111111111111111111111111111111111_<135> = 14353842947_<11> · 344942893969_<12> · 469059011115334766083_<21> · C92

C92 = P30 · P31 · P32

P30 = 485402254974860231190594309593_<30>

P31 = 4559922052235481146106878090947_<31>

P32 = 21615008258480805582409040176189_<32>

(10¹²⁷-6·10⁶³-1)/3 = 3333333333333333333333333333333333333333333333333333333333333331333333333333333333333333333333333333333333333333333333333333333_<127> = 1065830357_<10> · 525330712799_<12> · C106

C106 = P30 · P77

P30 = 295205067133417907697592782329_<30>

P77 = 20166663874414567956260843672924031494113314975273352729150161420189795249239_<77>

10¹³¹-4·10⁶⁵-1 = 99999999999999999999999999999999999999999999999999999999999999999599999999999999999999999999999999999999999999999999999999999999999_<131> = 13 · 137 · 347 · 8623 · 67057 · 408048752821026243131_<21> · C96

C96 = P29 · P34(3095...) · P34(4377...)

P29 = 50612544294970722084709792667_<29>

P34(3095...) = 3095535203928056850631948075200751_<34>

P34(4377...) = 4377217507217188817598381172409681_<34>

May 18, 2005

By Kenichiro Yamaguchi / msieve 0.88

(79·10¹⁵⁹-7)/9 = 8(7)₁₅₉_<160> = 219647 · 161560309967141_<15> · 40311515332103879_<17> · 33170288939488390924608107_<26> · C99

C99 = P46 · P54

P46 = 1124420513417429289242292747120560652696703691_<46>

P54 = 164519541196822535927565725573223849787831289674684237_<54>

(4·10¹⁶⁴+23)/9 = (4)₁₆₃7_<164> = 12479 · 58510372933963_<14> · 178177201699221593983_<21> · 18554403610873627860756559_<26> · C101

C101 = P44 · P57

P44 = 78023895748638867893972217224252601733553999_<44>

P57 = 235981559314942106709930447382847896871156692971850502237_<57>

(61·10¹⁷⁸-7)/9 = 6(7)₁₇₈_<179> = 61754210443_<11> · 15334686750801126181407889841_<29> · 416368707563384961553638170251815219317_<39> · C102

C102 = P40 · P62

P40 = 4941723279443496262590899537580262103323_<40>

P62 = 34784786187971092404010664188709643009421322440491551158637269_<62>

May 17, 2005 (4th)

The near-repdigit palindrome tables were exteded to n=75. Try ECM from B1=250000 for new composite numbers.

May 17, 2005 (3rd)

611...11 was completed up to n=150 and extended to n=200.

May 17, 2005 (2nd)

By Greg Childers / GGNFS

(55·10¹⁴⁹-1)/9 = 6(1)₁₄₉_<150> = 204375181 · C142

C142 = P35 · P37 · P71

P35 = 32617952991429641135965899090570323_<35>

P37 = 1209011118657770670098957198126634659_<37>

P71 = 75823709606029146596551829374018149628109156534685111960594866822008283_<71>

May 17, 2005

By Samuel Chong / GGNFS-0.77.1

(52·10¹³¹-7)/9 = 5(7)₁₃₁_<132> = 211 · 54639683519807_<14> · C116

C116 = P57 · P59

P57 = 944476919452537970177605023209405979475809411678581549459_<57>

P59 = 53061418313269019563666845242560398655598070802659505152439_<59>

Number: 57777_131
N=50115284910298806953874346945427476595081698400244620408014580499203700690148084514657228802514340627765250612980501
  ( 116 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=944476919452537970177605023209405979475809411678581549459 (pp57)
 r2=53061418313269019563666845242560398655598070802659505152439 (pp59)
Version: GGNFS-0.77.1
Total time: 9.27 hours.
Scaled time: 6.31 units (timescale=0.680).
Factorization parameters were as follows:
name: 57777_131
n: 50115284910298806953874346945427476595081698400244620408014580499203700690148084514657228802514340627765250612980501
c5: 65
c0: -28
m: 200000000000000000000000000
type: snfs
skew: 1.1
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 1150001)
Relations: rels:1504252, finalFF:158368
Initial matrix: 128226 x 158368 with sparse part having weight 13273707.
Pruned matrix : 124818 x 125523 with weight 8062338.
Total sieving time: 8.61 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 0.42 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,133,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 9.27 hours.
 --------- CPU info (if available) ----------
Pentium 3, 1.13GHz, 384MB RAM
elapsed time: 9h40m5.647s

(52·10¹³⁹-7)/9 = 5(7)₁₃₉_<140> = 3 · 20472013 · C132

C132 = P62 · P71

P62 = 42597380129480189454183205055817960792689265979756762838996143_<62>

P71 = 22084935811313758983846362561950714029638463802222315759047507219622601_<71>

Number: 57777_139
N=940760405889702163595698149432557475381598246311159496589771570546543676933932157001818006820299462454388792116303328805978154627943
  ( 132 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=42597380129480189454183205055817960792689265979756762838996143 (pp62)
 r2=22084935811313758983846362561950714029638463802222315759047507219622601 (pp71)
Version: GGNFS-0.77.1
Total time: 11.71 hours.
Scaled time: 13.15 units (timescale=1.123).
Factorization parameters were as follows:
name: 57777_139
n: 940760405889702163595698149432557475381598246311159496589771570546543676933932157001818006820299462454388792116303328805978154627943
c5: 26
c0: -35
m: 10000000000000000000000000000
type: snfs
skew: 1.4
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Sieved special-q in [650000, 1950001)
Relations: rels:2625257, finalFF:236716
Initial matrix: 199720 x 236716 with sparse part having weight 24377805.
Pruned matrix : 195540 x 196602 with weight 16293550.
Total sieving time: 11.17 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.36 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,141,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 11.71 hours.
 --------- CPU info (if available) ----------
Pentium M, 1.8GHz, 1GB RAM
elapsed time: 11h52m2.612s

(52·10¹⁴⁰-7)/9 = 5(7)₁₄₀_<141> = 1128407803_<10> · 6286275241_<10> · 356947438147_<12> · C111

C111 = P55 · P56

P55 = 8005661431852798492398553348750679851731090314728794817_<55>

P56 = 28503610344096864232287570440735272746558672640479087001_<56>

Number: 57777_140
N=228190254000296740441829643851437945353580086632686739688322525328377702414631941793451096883775271317220873817
  ( 111 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=8005661431852798492398553348750679851731090314728794817 (pp55)
 r2=28503610344096864232287570440735272746558672640479087001 (pp56)
Version: GGNFS-0.77.1
Total time: 11.55 hours.
Scaled time: 13.05 units (timescale=1.130).
Factorization parameters were as follows:
name: 57777_140
n: 228190254000296740441829643851437945353580086632686739688322525328377702414631941793451096883775271317220873817
c5: 52
c0: -7
m: 10000000000000000000000000000
type: snfs
skew: 1.1
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Sieved special-q in [650000, 2050001)
Relations: rels:2637833, finalFF:228319
Initial matrix: 199575 x 228319 with sparse part having weight 24139006.
Pruned matrix : 196175 x 197236 with weight 17722101.
Total sieving time: 10.99 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.39 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,141,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 11.55 hours.
 --------- CPU info (if available) ----------
Pentium M, 1.8GHz, 1GB RAM
elapsed time: 11h43m8.351s

May 16, 2005 (4th)

By Greg Childers / GGNFS

(55·10¹³⁹-1)/9 = 6(1)₁₃₉_<140> = 24989 · 904452920051343725417_<21> · C115

C115 = P37 · P78

P37 = 7048576332043459686034179056281798469_<37>

P78 = 383604709643511484174499986975400327782096562711344269205943421015193420529663_<78>

(55·10¹⁴¹-1)/9 = 6(1)₁₄₁_<142> = 3 · 7 · 113 · 167 · 521 · 919 · 1153 · 7643 · C124

C124 = P40 · P85

P40 = 1063224368598284987796843292441249913461_<40>

P85 = 3437436207871079451330246273373070936880340406511418451038814710218188646844721012341_<85>

(55·10¹⁴⁵-1)/9 = 6(1)₁₄₅_<146> = 1263421008787539977_<19> · C128

C128 = P45 · P84

P45 = 277343005684286219921639772343812939311590129_<45>

P84 = 174403368127873074137794625591828419060980197578983878843733669400918572111027490367_<84>

(55·10¹⁴⁶-1)/9 = 6(1)₁₄₆_<147> = 13 · 4231 · 38149 · 515677 · 3073451 · 44504087 · 142191139 · C110

C110 = P48 · P63

P48 = 160430483623312708652808712843032833312709853283_<48>

P63 = 181003622742401746386197287400645598243147541866349542490921201_<63>

(55·10¹⁴⁷-1)/9 = 6(1)₁₄₇_<148> = 3² · 7 · 55881885721233228121_<20> · C127

C127 = P46 · P81

P46 = 4783558566950474825453403327136033394311375903_<46>

P81 = 362875362077730366860909913268426301262599501115793730321610717380439451207158719_<81>

(55·10¹⁴⁸-1)/9 = 6(1)₁₄₈_<149> = 67 · 163 · 881 · 4457 · 5637518522297_<13> · C126

C126 = P42 · P84

P42 = 471984419510453202562367398692207239240387_<42>

P84 = 535579056842431770089258156483401738781244298516350075847387460751798318862225567957_<84>

May 16, 2005 (3rd)

By Makoto Kamada / GMP-ECM 6.0.1

(4·10¹⁹¹-1)/3 = 1(3)₁₉₁_<192> = 839 · 103889 · 4322027 · C177

C177 = P32 · P145

P32 = 84275789507095754940374201543437_<32>

P145 = 4199686812232444925484275503934712548257754392261575231660315798832305122326220123349799000462460732715210574829434214399875137452189080153237277_<145>

May 16, 2005 (2nd)

By Samuel Chong / GMP-ECM 6.0.1, GGNFS-0.77.1

(52·10¹³⁷-7)/9 = 5(7)₁₃₇_<138> = 17 · 21092255101_<11> · 943450400877509381_<18> · C109

C109 = P38 · P72

P38 = 11305225507438309023348396485987063579_<38>

P72 = 151074301334662844595155052208063015057511047784279541687960209500181219_<72>

(52·10¹³⁸-7)/9 = 5(7)₁₃₈_<139> = 218288467390546054036499_<24> · C116

C116 = P49 · P67

P49 = 3707766113147792424168414786189831094066948320587_<49>

P67 = 7138676662676860357688100331726205343705275172333728441608783388129_<67>

Number: 57777_138
N=26468543422592237032800499658113774776809021791466376187166228978252480667269697972578061070633379423429500342111723
  ( 116 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=3707766113147792424168414786189831094066948320587 (pp49)
 r2=7138676662676860357688100331726205343705275172333728441608783388129 (pp67)
Version: GGNFS-0.77.1
Total time: 17.37 hours.
Scaled time: 12.06 units (timescale=0.694).
Factorization parameters were as follows:
name: 57777_138
n: 26468543422592237032800499658113774776809021791466376187166228978252480667269697972578061070633379423429500342111723
c5: 13
c0: -175
m: 10000000000000000000000000000
type: snfs
skew: 2.3
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Sieved special-q in [650000, 1850001)
Relations: rels:2581402, finalFF:231446
Initial matrix: 199775 x 231446 with sparse part having weight 22379568.
Pruned matrix : 195713 x 196775 with weight 15567911.
Total sieving time: 15.40 hours.
Total relation processing time: 0.31 hours.
Matrix solve time: 1.56 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,141,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 17.37 hours.
 --------- CPU info (if available) ----------
Pentium 3, 1.13GHz, 384MB RAM
elapsed time: 17h56m8.516s

(52·10¹⁵⁰-7)/9 = 5(7)₁₅₀_<151> = 790448010127_<12> · 46547750638471_<14> · C126

C126 = P50 · P77

P50 = 14447140431035784716254423776982787208056721192529_<50>

P77 = 10869434012240476963127657425131912816905607200813492985282654831804960631289_<77>

Number: 57777_150
N=157032239580714903240699884247830071933234269674773678732378732338478783113147823070543836892284406414837495035656608750439881
  ( 126 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=14447140431035784716254423776982787208056721192529 (pp50)
 r2=10869434012240476963127657425131912816905607200813492985282654831804960631289 (pp77)
Version: GGNFS-0.77.1
Total time: 31.03 hours.
Scaled time: 32.52 units (timescale=1.048).
Factorization parameters were as follows:
n: 157032239580714903240699884247830071933234269674773678732378732338478783113147823070543836892284406414837495035656608750439881
c5: 52
c0: -7
m: 1000000000000000000000000000000
type: snfs
skew: 0.7
# q0: 2500000
# qintsize: 1000
# Total yield: 5503
# 0.01853 sec/rel
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [1200000, 2200001)
Relations: rels:5349672, finalFF:450022
Initial matrix: 352336 x 450022 with sparse part having weight 42771281.
Pruned matrix : 334650 x 336475 with weight 22531080.
Total sieving time: 28.99 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 1.67 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 31.03 hours.
 --------- CPU info (if available) ----------
Pentium M 1.8GHz, 1GB RAM
elapsed time: 31h34m42.958s

May 16, 2005

By Makoto Kamada / GMP-ECM 6.0.1

(4·10¹⁶⁷-1)/3 = 1(3)₁₆₇_<168> = 523 · 46351 · 46794112332871_<14> · C147

C147 = P28 · P119

P28 = 7037112326377184306115422147_<28>

P119 = 16702913918179728327824511113974503788140232679674188838654021662919963717661064391575048710589928706963848949872986733_<119>

May 14, 2005 (4th)

By Kenichiro Yamaguchi / GMP-ECM 6.0

10¹⁵³-3 = (9)₁₅₂7_<153> = 35603 · 108127 · 68063329 · 248622154980379092461_<21> · C116

C116 = P33 · P83

P33 = 300828367847782232594681513978143_<33>

P83 = 51027871295477704495929106254743812373411107183903051725312804583423782028610309611_<83>

10¹⁶⁸-3 = (9)₁₆₇7_<168> = 757 · 24733 · 13293083 · 869228495029187_<15> · 3574884941983036986718429117_<28> · C112

C112 = P36 · P76

P36 = 975590727494159829512394250459329181_<36>

P76 = 1325372390074496447669080069340310031238497245742542719972705527019954706661_<76>

May 14, 2005 (3rd)

By Wataru Sakai / GMP-ECM 6.0.1

(82·10¹⁸⁶-1)/9 = 9(1)₁₈₆_<187> = 3 · 23 · 109 · 41885551 · C176

C176 = P31 · P145

P31 = 3782940352046936522297900219363_<31>

P145 = 7645431961886097621301055021955926549566391559295079055876348408384086304280369422950343845597001737875012334173792062028552841337720614470711907_<145>

(7·10¹⁶²-1)/3 = 2(3)₁₆₂_<163> = 1376191 · C157

C157 = P34 · C124

P34 = 1156149411505234849191678643368749_<34>

C124 = [1466506895981493687124535379820325804475916309373929762311497311107375702506795513963671876299233601761427778500890258144887_<124>]

(7·10¹⁵⁹-1)/3 = 2(3)₁₅₉_<160> = C160

C160 = P39 · P121

P39 = 939923996442189977828139437596044327841_<39>

P121 = 2482470223300491075379538268591617894446661442117222321902419566146158100189049423032307860998700605229094451674191535413_<121>

May 14, 2005 (2nd)

299...99 was completed up to n=150 and extended to n=200.

May 14, 2005

By Makoto Kamada / GGNFS-0.77.1

3·10¹⁴⁸-1 = 2(9)₁₄₈_<149> = 5698826293_<10> · 120232877212186884433_<21> · C119

C119 = P42 · P78

P42 = 123074961607917110161534951484159374642729_<42>

P78 = 355748343355447265512908734948080985968709118990801171190063642693710339565499_<78>

Number: 29999_148
N=43783713700551786177954883342796795283205701980740608710433617028315456678043343527412509722361129001794180676219606771
  ( 119 digits)
SNFS difficulty: 149 digits.
Divisors found:
 r1=123074961607917110161534951484159374642729 (pp42)
 r2=355748343355447265512908734948080985968709118990801171190063642693710339565499 (pp78)
Version: GGNFS-0.77.1
Total time: 28.55 hours.
Scaled time: 24.64 units (timescale=0.863).
Factorization parameters were as follows:
n: 43783713700551786177954883342796795283205701980740608710433617028315456678043343527412509722361129001794180676219606771
m: 200000000000000000000000000000
c5: 375
c0: -4
skew: 1
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Sieved special-q in [750000, 4350001)
Relations: rels:3148780, finalFF:271363
Initial matrix: 228284 x 271363 with sparse part having weight 34726747.
Pruned matrix : 223682 x 224887 with weight 25281549.
Total sieving time: 26.76 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 1.47 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,149,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000
total time: 28.55 hours.
 --------- CPU info (if available) ----------

May 13, 2005 (3rd)

277...77 was completed up to n=150 and extended to n=200.

May 13, 2005 (2nd)

By Sinkiti Sibata / GGNFS-0.73.4

(25·10¹⁴⁷-7)/9 = 2(7)₁₄₇_<148> = 31 · 22109 · 103580095854959_<15> · C128

C128 = P55 · P74

P55 = 2751810618542710121996968089888551762815334364740816177_<55>

P74 = 14219091698232043915719736438626813732187064219321265541387930409256743941_<74>

Number: n27706
N=39128247521227435265353456573888907827751990535360870671286516668490202254432730503995323584573273078838822955573714981839533557
  ( 128 digits)
Divisors found:
 r1=2751810618542710121996968089888551762815334364740816177 (pp55)
 r2=14219091698232043915719736438626813732187064219321265541387930409256743941 (pp74)
Version: GGNFS-0.73.4
Total time: 30.72 hours.
Scaled time: 18.92 units (timescale=0.616).
Factorization parameters were as follows:
name: n27706
n: 39128247521227435265353456573888907827751990535360870671286516668490202254432730503995323584573273078838822955573714981839533557
m: 1000000000000000000000000000000
c5: 1
c0: -280
skew: 2
type: snfs

Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [750000, 3550001)
Relations: rels:4030370, finalFF:263105
Initial matrix: 228662 x 263105 with sparse part having weight 24168959.
Pruned matrix : 217595 x 218802 with weight 19174966.
Total sieving time: 28.17 hours.
Total relation processing time: 0.37 hours.
Matrix solve time: 2.10 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,127,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1500000,1500000,27,27,45,45,2.3,2.3,100000
total time: 30.72 hours.
 --------- CPU info (if available) ----------

May 13, 2005

By Kenichiro Yamaguchi / msieve 0.88

(28·10¹⁶⁷-1)/9 = 3(1)₁₆₇_<168> = 2699 · 35083 · 201517 · 132211486382868061681_<21> · 14957629796921962305112256643833653651_<38> · C97

C97 = P30 · P68

P30 = 622034512368604087851615654481_<30>

P68 = 13254329882974026588044639224501407408503731822345782359808742685209_<68>

May 12, 2005 (5th)

677...77 was completed up to n=150 and extended to n=200.

May 12, 2005 (4th)

By Greg Childers / GGNFS-0.76.8-k1

(61·10¹⁴⁸-7)/9 = 6(7)₁₄₈_<149> = 1997 · 16453 · 3314036973893_<13> · C129

C129 = P56 · P74

P56 = 39556766964933754250647549669289784721840357249424572103_<56>

P74 = 15735698461845030510207337801475420150967876650498795094830007914984412443_<74>

(61·10¹⁵⁰-7)/9 = 6(7)₁₅₀_<151> = 3 · 997 · 63977 · 3184380146921_<13> · C131

C131 = P62 · P69

P62 = 52705315333721859997910195565558335105305316472767799040037089_<62>

P69 = 211041428323402327456372224332812226010199161841267519831372350387919_<69>

(55·10¹³³-1)/9 = 6(1)₁₃₃_<134> = 5749 · 13685294789871563_<17> · C114

C114 = P43 · P72

P43 = 1131296869784096283247765334501486096859511_<43>

P72 = 686589455158687094791267450486102461797942803855076189650926989294180423_<72>

(55·10¹³⁶-1)/9 = 6(1)₁₃₆_<137> = 19 · 23 · 1693 · 2861 · 13687 · C124

C124 = P39 · P85

P39 = 261843409601513981211782601245126619001_<39>

P85 = 8055898995214582804558865693555247165485273937332090847460906892450090075232635193853_<85>

(55·10¹³⁷-1)/9 = 6(1)₁₃₇_<138> = 929 · 58732529 · C128

C128 = P46 · P82

P46 = 7814972683649930290593499031402095773519221231_<46>

P82 = 1433171951168716045597531334277145632341103315292260336529652959869791978931916441_<82>

May 12, 2005 (3rd)

By Sinkiti Sibata / GGNFS-0.73.4

(25·10¹⁴⁶-7)/9 = 2(7)₁₄₆_<147> = 2377 · C144

C144 = P37 · P53 · P54

P37 = 8450795732314633295173199044308639277_<37>

P53 = 30148412808524377537673005305781804934422894403827519_<53>

P54 = 458676257137456062720021669543991247516340584081102227_<54>

Number: n27705
N=116860655354555228345720562800916187537979712990230449212359182910297760949843406721824895994016734445846772308699107184593091198055438694900201
  ( 144 digits)
Divisors found:
 r1=8450795732314633295173199044308639277 (pp37)
 r2=30148412808524377537673005305781804934422894403827519 (pp53)
 r3=458676257137456062720021669543991247516340584081102227 (pp54)
Version: GGNFS-0.73.4
Total time: 50.16 hours.
Scaled time: 27.24 units (timescale=0.543).
Factorization parameters were as follows:
name: n27705
n: 116860655354555228345720562800916187537979712990230449212359182910297760949843406721824895994016734445846772308699107184593091198055438694900201
m: 1000000000000000000000000000000
c5: 1
c0: -2800
skew: 2
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [750000, 5650001)
Relations: rels:4765450, finalFF:262585
Initial matrix: 228601 x 262585 with sparse part having weight 26991262.
Pruned matrix : 218687 x 219894 with weight 22006992.
Total sieving time: 47.04 hours.
Total relation processing time: 0.54 hours.
Matrix solve time: 2.46 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,143,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1500000,1500000,27,27,45,45,2.3,2.3,100000
total time: 50.16 hours.
 --------- CPU info (if available) ----------

May 12, 2005 (2nd)

By Kenichiro Yamaguchi / msieve 0.88

(46·10¹⁵⁹-1)/9 = 5(1)₁₅₉_<160> = 2282407 · 139463558033_<12> · 926170764043531128329_<21> · 129327173826903637028311757_<27> · C96

C96 = P31 · P65

P31 = 2670805623922589416948360839847_<31>

P65 = 50192445248125384112666868131438356426058026140049819330826497291_<65>

(73·10¹⁵³-1)/9 = 8(1)₁₅₃_<154> = 17 · 10328453 · 18592921473246849727987_<23> · 1354386586120344889166234909_<28> · C97

C97 = P44 · P53

P44 = 30246149402982031141909663724477316618628087_<44>

P53 = 60650694707134154017490513389643352218963482541379691_<53>

(88·10¹⁶³-7)/9 = 9(7)₁₆₃_<164> = 461 · 4423 · 94447 · 1091957 · 9195049 · 1323086437_<10> · 6193872774611976852485677182185861_<34> · C97

C97 = P33 · P65

P33 = 242974024998686048865020255112271_<33>

P65 = 25395934581473779364283283533819700344211941954026497603842312407_<65>

(22·10¹⁵⁶-1)/3 = 7(3)₁₅₆_<157> = 7 · 9319 · 2917643 · 358602459219702957489569_<24> · 13562495021508030059409119_<26> · C97

C97 = P28 · P70

P28 = 3545332820588782959046434023_<28>

P70 = 2234560188334127806879050185314250929870754206592228362033255506726919_<70>

May 12, 2005

By Makoto Kamada / GGNFS-0.77.1

3·10¹⁴⁵-1 = 2(9)₁₄₅_<146> = 113 · 1051 · 115336553 · C133

C133 = P61 · P72

P61 = 2287852509381529362215874023304871802874572090778188945277943_<61>

P72 = 957293486672798203907184531262070219175708798167529171237812739812913587_<72>

Number: 29999_145
N=2190146305698955006283428730916975933010651373564495194778811329963706280406966398789747297529353873537135219315908937985516356111541
  ( 133 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=2287852509381529362215874023304871802874572090778188945277943 (pp61)
 r2=957293486672798203907184531262070219175708798167529171237812739812913587 (pp72)
Version: GGNFS-0.77.1
Total time: 11.34 hours.
Scaled time: 9.78 units (timescale=0.863).
Factorization parameters were as follows:
n: 2190146305698955006283428730916975933010651373564495194778811329963706280406966398789747297529353873537135219315908937985516356111541
m: 100000000000000000000000000000
c5: 3
c0: -1
skew: 1
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Sieved special-q in [650000, 2050001)
Relations: rels:2661845, finalFF:244024
Initial matrix: 200019 x 244024 with sparse part having weight 23889291.
Pruned matrix : 194962 x 196026 with weight 15324298.
Total sieving time: 10.52 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.69 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,145,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 11.34 hours.
 --------- CPU info (if available) ----------

May 11, 2005 (2nd)

By Kenichiro Yamaguchi / GMP-ECM 6.0

(73·10¹⁷¹-1)/9 = 8(1)₁₇₁_<172> = 14843 · 149813177 · 77738401102687189_<17> · 42317321988221629976776621_<26> · C118

C118 = P29 · P89

P29 = 14875811353000112379997549951_<29>

P89 = 74537394406427505919087578364112995875027572863907758882633116392560035073094927981031779_<89>

(32·10¹⁷⁸-23)/9 = 3(5)₁₇₇3_<179> = 3⁵ · 7 · 821641 · 31761867398052964369111_<23> · 13291104803552696136084852221_<29> · C119

C119 = P32 · P88

P32 = 11282264483748814369977751773473_<32>

P88 = 5341431528017299080534923970125816079214708214812902404850524164720746012160878241078591_<88>

May 11, 2005

By Makoto Kamada / GGNFS-0.77.1

3·10¹⁴³-1 = 2(9)₁₄₃_<144> = 7 · 368161095989_<12> · 2773039137463081_<16> · C116

C116 = P41 · P76

P41 = 24566776282235900088908433900766498349491_<41>

P76 = 1708760320079077756989239124726576953642075628982585485036155402183550090703_<76>

Number: 29999_143
N=41978732503344512516266857871436361444559312282084203360401368402577014076439517715668943400840554473654772843882173
  ( 116 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=24566776282235900088908433900766498349491 (pp41)
 r2=1708760320079077756989239124726576953642075628982585485036155402183550090703 (pp76)
Version: GGNFS-0.77.1
Total time: 14.68 hours.
Scaled time: 12.38 units (timescale=0.843).
Factorization parameters were as follows:
n: 41978732503344512516266857871436361444559312282084203360401368402577014076439517715668943400840554473654772843882173
m: 20000000000000000000000000000
c5: 375
c0: -4
skew: 1
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Sieved special-q in [650000, 2450001)
Relations: rels:2787031, finalFF:239636
Initial matrix: 200116 x 239636 with sparse part having weight 26160216.
Pruned matrix : 195686 x 196750 with weight 18077927.
Total sieving time: 13.66 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.86 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,144,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 14.68 hours.
 --------- CPU info (if available) ----------

May 10, 2005 (3rd)

By Makoto Kamada / GGNFS-0.77.1

3·10¹⁴⁰-1 = 2(9)₁₄₀_<141> = 13 · 1043951 · 26883947 · C126

C126 = P54 · P73

P54 = 182071650990950202615387530626934743348640561028796729_<54>

P73 = 4516088321889703271038563016128691273952825632884219310105789502309547671_<73>

Number: 29999_140
N=822251656787408030173975300632094304632704651079543601030488574266544755067737471493710369973212578847428430302736349394368159
  ( 126 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=182071650990950202615387530626934743348640561028796729 (pp54)
 r2=4516088321889703271038563016128691273952825632884219310105789502309547671 (pp73)
Version: GGNFS-0.77.1
Total time: 8.19 hours.
Scaled time: 7.05 units (timescale=0.861).
Factorization parameters were as follows:
n: 822251656787408030173975300632094304632704651079543601030488574266544755067737471493710369973212578847428430302736349394368159
m: 10000000000000000000000000000
c5: 3
c0: -1
skew: 1
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 1525001)
Relations: rels:1540372, finalFF:160700
Initial matrix: 142576 x 160700 with sparse part having weight 14747809.
Pruned matrix : 139698 x 140474 with weight 11243084.
Total sieving time: 7.79 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.31 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,140,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 8.19 hours.
 --------- CPU info (if available) ----------

3·10¹⁴¹-1 = 2(9)₁₄₁_<142> = 29 · C141

C141 = P44 · P97

P44 = 12049787588762983115267162180707134919286653_<44>

P97 = 8585070491909711967989582026822386992430936673986287924871109410890430123873686351241585281361127_<97>

Number: 29999_141
N=103448275862068965517241379310344827586206896551724137931034482758620689655172413793103448275862068965517241379310344827586206896551724137931
  ( 141 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=12049787588762983115267162180707134919286653 (pp44)
 r2=8585070491909711967989582026822386992430936673986287924871109410890430123873686351241585281361127 (pp97)
Version: GGNFS-0.77.1
Total time: 7.74 hours.
Scaled time: 6.68 units (timescale=0.863).
Factorization parameters were as follows:
n: 103448275862068965517241379310344827586206896551724137931034482758620689655172413793103448275862068965517241379310344827586206896551724137931
m: 10000000000000000000000000000
c5: 30
c0: -1
skew: 1
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Sieved special-q in [650000, 1550001)
Relations: rels:2504779, finalFF:234151
Initial matrix: 199881 x 234151 with sparse part having weight 18658294.
Pruned matrix : 194780 x 195843 with weight 12309635.
Total sieving time: 7.06 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.57 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,141,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 7.74 hours.
 --------- CPU info (if available) ----------

May 10, 2005 (2nd)

By Sinkiti Sibata / GGNFS-0.73.4

(25·10¹⁴³-7)/9 = 2(7)₁₄₃_<144> = 269 · 15619 · 8702261389_<10> · 26494042019513_<14> · C114

C114 = P56 · P59

P56 = 25824875844163503674925619205426250071426104522020935509_<56>

P59 = 11103845421346691564728067954556533513867575974333455355439_<59>

Number: n27704
N=286755429399061696471460639223078189575624111306840613832214322008818237461666722859156621510625517018752891383451
  ( 114 digits)
Divisors found:
 r1=25824875844163503674925619205426250071426104522020935509 (pp56)
 r2=11103845421346691564728067954556533513867575974333455355439 (pp59)
Version: GGNFS-0.73.4
Total time: 17.62 hours.
Scaled time: 9.56 units (timescale=0.543).
Factorization parameters were as follows:
name: n27704
n: 286755429399061696471460639223078189575624111306840613832214322008818237461666722859156621510625517018752891383451
m: 100000000000000000000000000000
c5: 1
c0: -28
skew: 2
type: snfs

Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [650000, 2250001)
Relations: rels:3702191, finalFF:250920
Initial matrix: 200293 x 250920 with sparse part having weight 21672362.
Pruned matrix : 184307 x 185372 with weight 15027965.
Total sieving time: 15.96 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 1.37 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,113,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1300000,1300000,27,27,45,45,2.3,2.3,100000
total time: 17.62 hours.
 --------- CPU info (if available) ----------

May 10, 2005

By Makoto Kamada / GMP-ECM 6.0.1

(82·10¹⁶⁴+71)/9 = 9(1)₁₆₃9_<165> = 64013359857241_<14> · C152

C152 = P28 · P124

P28 = 2231758898657450640408808421_<28>

P124 = 6377543731740958019734298085528275459938169960851062818800769066233485293684464903301380676158605205475357394910403056818779_<124>

May 9, 2005 (3rd)

By Greg Childers / GGNFS

(61·10¹²⁸-7)/9 = 6(7)₁₂₈_<129> = 1699 · C126

C126 = P48 · P79

P48 = 299179457277806411535149639026739530226142089621_<48>

P79 = 1333405298970436966592817949486129780817428261709500221189749560996988882681263_<79>

(61·10¹³⁵-7)/9 = 6(7)₁₃₅_<136> = 3 · 43 · 59 · 1733 · 5680019 · C122

C122 = P39 · P83

P39 = 927242136241245480295997360546143833229_<39>

P83 = 97567256590986466635655125222676116463836822566445292809032469710621547360445738129_<83>

(61·10¹⁴¹-7)/9 = 6(7)₁₄₁_<142> = 3 · 8039 · 98005469 · C130

C130 = P44 · P86

P44 = 35284402142806969715498174687344814027742337_<44>

P86 = 81270132481699799349979447997812805006797467924789973909568486678150176330511109827377_<86>

(61·10¹⁴⁶-7)/9 = 6(7)₁₄₆_<147> = 839 · 14533 · 1254801168839263_<16> · C125

C125 = P53 · P72

P53 = 97231305727999673497358739964456644950754724349302399_<53>

P72 = 455605605406378802832016232428400788106276936808026383368031541901007483_<72>

(61·10¹⁴⁷-7)/9 = 6(7)₁₄₇_<148> = 3² · C147

C147 = P72 · P76

P72 = 243314281288135257360490531778906342516402685687071620697654477513996051_<72>

P76 = 3095118033212665345739651874326610276263365883329349811954353524289238251603_<76>

May 9, 2005 (2nd)

By Kenichiro Yamaguchi / msieve 0.88

(7·10¹⁶¹-61)/9 = (7)₁₆₀1_<161> = 151² · 6577 · 3964174417114618793679334707731_<31> · 7173503721551823549835691411587_<31> · C92

C92 = P33 · P59

P33 = 323133745909992430959028592626241_<33>

P59 = 56442650092286230129000235768266165698868545368696437618499_<59>

(73·10¹⁶¹-1)/9 = 8(1)₁₆₁_<162> = 7 · 877 · 972781709963209_<15> · 1220046924751153519859701_<25> · 5029543735426300746878816161_<28> · C92

C92 = P43 · P49

P43 = 6788653800472124624790258105180513809359727_<43>

P49 = 3260457440326829073193239624460062903158668440263_<49>

May 9, 2005

By Sinkiti Sibata / GGNFS-0.73.4

(25·10¹⁴²-7)/9 = 2(7)₁₄₂_<143> = 3 · 47 · 47741 · C136

C136 = P47 · P89

P47 = 83078612664108749945837054662410421922035082521_<47>

P89 = 49670397929469966933068581388369378907329876227440240194993096794487066477372383261120577_<89>

Number: n27703
N=4126547750454584626737827497066065814904294876235672027860997866261195385945199544911109127066952692546822575563650521746667305126134617
  ( 136 digits)
Divisors found:
 r1=83078612664108749945837054662410421922035082521 (pp47)
 r2=49670397929469966933068581388369378907329876227440240194993096794487066477372383261120577 (pp89)
Version: GGNFS-0.73.4
Total time: 35.61 hours.
Scaled time: 19.34 units (timescale=0.543).
Factorization parameters were as follows:
name: n27703
n: 4126547750454584626737827497066065814904294876235672027860997866261195385945199544911109127066952692546822575563650521746667305126134617
m: 10000000000000000000000000000
c5: 2500
c0: -7
skew: 2
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 4375001)
Relations: rels:2160131, finalFF:161750
Initial matrix: 142755 x 161750 with sparse part having weight 16786636.
Pruned matrix : 138638 x 139415 with weight 13874522.
Total sieving time: 34.43 hours.
Total relation processing time: 0.29 hours.
Matrix solve time: 0.82 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,135,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 35.61 hours.
 --------- CPU info (if available) ----------

May 8, 2005 (2nd)

By Kenichiro Yamaguchi / GMP-ECM 6.0, msieve 0.88, ppmpqs 2.8

(4·10¹⁶³-31)/9 = (4)₁₆₂1_<163> = 1059323 · 189991603442981_<15> · 8300604922871598662344661_<25> · C118

C118 = P27 · P91

P27 = 759138910824095899864888379_<27>

P91 = 3504480728404675529010629607710020993463541912205492760437955535188195182976742386971405753_<91>

(13·10¹⁸⁸-1)/3 = 4(3)₁₈₈_<189> = 53 · 51647389 · 101642062747_<12> · 673328548961_<12> · 155598700269695647_<18> · 195471647740010465717_<21> · C119

C119 = P29 · P44 · P48

P29 = 28950078452696774598414917443_<29>

P44 = 12481988221672124356074117630719709998986127_<44>

P48 = 210462199983798268308526048348088572633976635873_<48>

6·10¹⁵²-1 = 5(9)₁₅₂_<153> = 389 · 601 · 3847686757744894459_<19> · 170030504027123276489357_<24> · C106

C106 = P25 · P39 · P43

P25 = 8502194575506696329598293_<25>

P39 = 103242136299206509564777334525567603879_<39>

P43 = 4469023146607202468521275116811326802475031_<43>

May 8, 2005

By Makoto Kamada / GMP-ECM 6.0.1

(8·10¹⁸⁴-53)/9 = (8)₁₈₃3_<184> = 3² · 7 · 6637 · 59377 · 90065296430573975747_<20> · C154

C154 = P26 · C128

P26 = 67475797886411273729109827_<26>

C128 = [58913028362753951237802316734583805710571858745928990357031746550974040556656806255122874946114335569783560475087229302800294761_<128>]

May 7, 2005

By Sinkiti Sibata / GGNFS-0.73.4

(25·10¹⁴¹-7)/9 = 2(7)₁₄₁_<142> = 398213 · 13773715607714944279_<20> · C117

C117 = P52 · P66

P52 = 2201814831235969887746249533312509356264909262669359_<52>

P66 = 230011823477140953009371545025560138971128411621855473653863637989_<66>

Number: n27702
N=506443444291598803979719463517532020736326178226757471336312807891128992503834726226169700627858542861777664978679051
  ( 117 digits)
Divisors found:
 r1=2201814831235969887746249533312509356264909262669359 (pp52)
 r2=230011823477140953009371545025560138971128411621855473653863637989 (pp66)
Version: GGNFS-0.73.4
Total time: 39.25 hours.
Scaled time: 21.31 units (timescale=0.543).
Factorization parameters were as follows:
name: n27702
n: 506443444291598803979719463517532020736326178226757471336312807891128992503834726226169700627858542861777664978679051
m: 10000000000000000000000000000
c5: 250
c0: -7
skew: 2
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 4900001)
Relations: rels:2285678, finalFF:159961
Initial matrix: 142732 x 159961 with sparse part having weight 17241365.
Pruned matrix : 139370 x 140147 with weight 14548173.
Total sieving time: 38.00 hours.
Total relation processing time: 0.32 hours.
Matrix solve time: 0.85 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,116,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 39.25 hours.
 --------- CPU info (if available) ----------

May 6, 2005 (5th)

By Wataru Sakai / GMP-ECM 6.0.1

(88·10¹⁵⁵-7)/9 = 9(7)₁₅₅_<156> = 7888847 · 322753193880259636759364321_<27> · 9124859475965494181045382373_<28> · C95

C95 = P32 · P64

P32 = 16545236480822509710748985754287_<32>

P64 = 2543647444791733457856112888295480288867780549462051467871775421_<64>

May 6, 2005 (4th)

By Kenichiro Yamaguchi / GMP-ECM 6.0, ppmpqs 2.8

(35·10¹⁵⁴-53)/9 = 3(8)₁₅₃3_<155> = 3 · 13 · 17 · 563 · 24761111 · 4548431451857_<13> · 14893398440137806047_<20> · C110

C110 = P32 · P79

P32 = 17214358533922899372427063091071_<32>

P79 = 3608171554412812193728736389472817370855429433262407847715505733800426715835393_<79>

(46·10¹⁷⁰-1)/9 = 5(1)₁₇₀_<171> = 7 · 73 · 76349759813_<11> · 3387158310043_<13> · 87543743019719681_<17> · 12240347643661635866911_<23> · C106

C106 = P25 · P81

P25 = 9992189901954093552456677_<25>

P81 = 361219933610736588126096619555475779332066120910436695465380359870924931284347277_<81>

(10¹⁷⁷+11)/3 = (3)₁₇₆7_<177> = 19 · 29 · 355222570819_<12> · 1351119268582407031_<19> · 14217108229868388954408797_<26> · C119

C119 = P32 · P33 · P55

P32 = 27051372809671613506948313356933_<32>

P33 = 476408812438030990707723764865829_<33>

P55 = 6879431335481059971914367036427443509354366156900980327_<55>

May 6, 2005 (3rd)

By Makoto Kamada / GGNFS-0.77.1

3·10¹³⁹-1 = 2(9)₁₃₉_<140> = 19 · 233 · 18257 · C132

C132 = P64 · P69

P64 = 3189010880100257960332198816490123216053698925938885318275266097_<64>

P69 = 116392853688224551320628030044644926368910927741779050815872100922653_<69>

Number: 29999_139
N=371178076777665532152626594025797297004534769172210654594932808045418438263540368999756371083005699600212754324567934180822790195341
  ( 132 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=3189010880100257960332198816490123216053698925938885318275266097 (pp64)
 r2=116392853688224551320628030044644926368910927741779050815872100922653 (pp69)
Version: GGNFS-0.77.1
Total time: 11.04 hours.
Scaled time: 9.52 units (timescale=0.862).
Factorization parameters were as follows:
n: 371178076777665532152626594025797297004534769172210654594932808045418438263540368999756371083005699600212754324567934180822790195341
m: 10000000000000000000000000000
c5: 3
c0: -10
skew: 2
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 1975001)
Relations: rels:1657585, finalFF:172572
Initial matrix: 142481 x 172572 with sparse part having weight 18283991.
Pruned matrix : 139356 x 140132 with weight 12359123.
Total sieving time: 10.62 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.32 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,140,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 11.04 hours.
 --------- CPU info (if available) ----------

May 6, 2005 (2nd)

By Patrick De Geest / May 4, 2005

(68·10³⁸⁸⁵²+13)/9 = 7(5)₃₈₈₅₁7_<38853> is PRP.

May 6, 2005

By Makoto Kamada / GGNFS-0.77.1

3·10¹³⁵-1 = 2(9)₁₃₅_<136> = 9661029311_<10> · C126

C126 = P52 · P75

P52 = 2737810280944238993239874575304072948881248252017519_<52>

P75 = 113421269769628317461074177992926273808105712904085317777627767022874178511_<75>

Number: 29999_135
N=310525918453038424903294447731750598763916740589630118761162301166731239203048102624683155771868457795635395107228445505334209
  ( 126 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=2737810280944238993239874575304072948881248252017519 (pp52)
 r2=113421269769628317461074177992926273808105712904085317777627767022874178511 (pp75)
Version: GGNFS-0.77.1
Total time: 5.63 hours.
Scaled time: 3.29 units (timescale=0.584).
Factorization parameters were as follows:
n: 310525918453038424903294447731750598763916740589630118761162301166731239203048102624683155771868457795635395107228445505334209
m: 1000000000000000000000000000
c5: 3
c0: -1
skew: 1
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 1075001)
Relations: rels:1553686, finalFF:193866
Initial matrix: 142576 x 193866 with sparse part having weight 13850626.
Pruned matrix : 134600 x 135376 with weight 6602345.
Total sieving time: 5.23 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.30 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,135,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 5.63 hours.
 --------- CPU info (if available) ----------

May 5, 2005 (12th)

By Kenichiro Yamaguchi / GMP-ECM 6.0

(88·10¹⁸³-7)/9 = 9(7)₁₈₃_<184> = 3 · 183503 · 601033083309317_<15> · 22129199748735379053863_<23> · 19189956597427975255674659227_<29> · C113

C113 = P28 · P86

P28 = 1270730953438201363275166399_<28>

P86 = 54762598950965988848515339506179913283721234965633336664731752242184193263496274615291_<86>

May 5, 2005 (11th)

By Sinkiti Sibata / GGNFS-0.73.4

(25·10¹³¹-7)/9 = 2(7)₁₃₁_<132> = 20123 · 1784942883827_<13> · C115

C115 = P40 · P76

P40 = 5620440393044654805093837199083265262653_<40>

P76 = 1375973601794850427023889759894925438618607521206065043323850174167579307429_<76>

Number: n27701
N=7733577611290918472440782987120369838557786923733541161750837329897230802105253894300787054055780538041283519149137
  ( 115 digits)
Divisors found:
 r1=5620440393044654805093837199083265262653 (pp40)
 r2=1375973601794850427023889759894925438618607521206065043323850174167579307429 (pp76)
Version: GGNFS-0.73.4
Total time: 8.84 hours.
Scaled time: 5.45 units (timescale=0.616).
Factorization parameters were as follows:
name: n27701
n: 7733577611290918472440782987120369838557786923733541161750837329897230802105253894300787054055780538041283519149137
m: 100000000000000000000000000
c5: 250
c0: -7
skew: 2
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 1300001)
Relations: rels:1612676, finalFF:163646
Initial matrix: 128185 x 163646 with sparse part having weight 13035967.
Pruned matrix : 118601 x 119305 with weight 8429940.
Total sieving time: 8.27 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.41 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,114,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 8.84 hours.
 --------- CPU info (if available) ----------

May 5, 2005 (10th)

By Makoto Kamada / GMP-ECM 6.0.1

(73·10¹⁶¹-1)/9 = 8(1)₁₆₁_<162> = 7 · 877 · 972781709963209_<15> · 1220046924751153519859701_<25> · C120

C120 = P28 · C92

P28 = 5029543735426300746878816161_<28>

C92 = [22134116793552343675342673843009393829656491450068844376804403205454458501099521413777488201_<92>]

May 5, 2005 (9th)

By Makoto Kamada / GGNFS-0.77.1

3·10¹²⁸-1 = 2(9)₁₂₈_<129> = 13² · 227 · 541 · 601 · C119

C119 = P39 · P81

P39 = 148983787999561869461523139665361324139_<39>

P81 = 161435091255666683067612614137458155297916999164385294636452087869504653287195627_<81>

s129-29999_128.txt

Number: 29999_128 N=24051211411324169265347481039741177672984691711872368935916386822317120319230690050172729454844852829303734434650340153 ( 119 digits) SNFS difficulty: 129 digits. Divisors found: r1=148983787999561869461523139665361324139 (pp39) r2=161435091255666683067612614137458155297916999164385294636452087869504653287195627 (pp81) Version: GGNFS-0.77.1 Total time: 3.83 hours. Scaled time: 3.30 units (timescale=0.862). Factorization parameters were as follows: n: 24051211411324169265347481039741177672984691711872368935916386822317120319230690050172729454844852829303734434650340153 m: 20000000000000000000000000 c5: 375 c0: -4 skew: 1 type: snfs Factor base limits: 800000/800000 Large primes per side: 3 Large prime bits: 25/25 Sieved special-q in [400000, 900001) Relations: rels:1484420, finalFF:181734 Initial matrix: 128176 x 181734 with sparse part having weight 11331485. Pruned matrix : 120378 x 121082 with weight 4839645. Total sieving time: 3.64 hours. Total relation processing time: 0.05 hours. Matrix solve time: 0.12 hours. Time per square root: 0.02 hours. Prototype def-par.txt line would be: snfs,129,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000 total time: 3.83 hours. --------- CPU info (if available) ----------

May 5, 2005 (8th)

By Sinkiti Sibata / GGNFS-0.73.4

(46·10¹⁴⁹-1)/9 = 5(1)₁₄₉_<150> = 587 · 486601 · C142

C142 = P34 · P47 · P61

P34 = 8342641865522708899014226485600863_<34>

P47 = 51968163685933066387208775472313394887953466513_<47>

P61 = 4127273530729170266545241935010523904158538675510421597108387_<61>

Number: m51107
N=1789386777707545513744133382153872984354357059145989494308727567945395639471291398099598810809802067670108792144813618626610459429478073730253
  ( 142 digits)
Divisors found:
 r1=8342641865522708899014226485600863 (pp34)
 r2=51968163685933066387208775472313394887953466513 (pp47)
 r3=4127273530729170266545241935010523904158538675510421597108387 (pp61)
Version: GGNFS-0.73.4
Total time: 89.67 hours.
Scaled time: 48.69 units (timescale=0.543).
Factorization parameters were as follows:
name: m51107
n: 1789386777707545513744133382153872984354357059145989494308727567945395639471291398099598810809802067670108792144813618626610459429478073730253
m: 200000000000000000000000000000
c5: 14375
c0: -1
skew: 2
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [750000, 9850001)
Relations: rels:5840565, finalFF:261799
Initial matrix: 228638 x 261799 with sparse part having weight 29812632.
Pruned matrix : 220044 x 221251 with weight 24781539.
Total sieving time: 85.79 hours.
Total relation processing time: 1.20 hours.
Matrix solve time: 2.54 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,141,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1500000,1500000,27,27,45,45,2.3,2.3,100000
total time: 89.67 hours.
 --------- CPU info (if available) ----------

May 5, 2005 (7th)

733...33 was completed up to n=150 and extended to n=200.

May 5, 2005 (6th)

By Greg Childers / GMP-ECM, GGNFS-0.76.8-k1

(10¹⁸⁵+71)/9 = (1)₁₈₄9_<185> = C185

C185 = P37 · P148

P37 = 3750806215629184966943224092904300819_<37>

P148 = 2962326090004961791420165103734489031196192276354525085062870974884672443755506312844401933410221376627505125539122978817351962262478860535294623701_<148>

(22·10¹³⁹-1)/3 = 7(3)₁₃₉_<140> = 19² · C138

C138 = P69(3140...) · P69(6468...)

P69(3140...) = 314038477443046442551733476677859370607858130783308334488351431918869_<69>

P69(6468...) = 646861585784499565295881774424410926848825366214375699657684081318937_<69>

(22·10¹⁴⁰-1)/3 = 7(3)₁₄₀_<141> = 1669 · 27463213453608587327_<20> · C119

C119 = P45 · P74

P45 = 944411606723648947479019470110517525957661069_<45>

P74 = 16940741717256927181957981545556074500046613736459008633035419078072903339_<74>

(22·10¹⁴¹-1)/3 = 7(3)₁₄₁_<142> = 15259 · 30400241 · C131

C131 = P42 · P89

P42 = 598970322351384012711098120857710192945763_<42>

P89 = 26393259145944264577988752957028793857588312421120685412128990991929712701926314756127989_<89>

(22·10¹⁴²-1)/3 = 7(3)₁₄₂_<143> = 13 · C142

C142 = P36 · P107

P36 = 254211979826452993813324401311695909_<36>

P107 = 22190243138331605335251692327872521059915803469666365096017037185723692340237858677865600818853561102312949_<107>

(22·10¹⁴⁴-1)/3 = 7(3)₁₄₄_<145> = 7 · 23399 · 7422643235796591503_<19> · C121

C121 = P50 · P72

P50 = 38698123073143645613540299595848405356653862670663_<50>

P72 = 155868228742256024274902157080758160587103328441079134104916616726426429_<72>

(22·10¹⁴⁶-1)/3 = 7(3)₁₄₆_<147> = 20143 · 180021533 · 17134044047_<11> · C125

C125 = P52 · P73

P52 = 3637128575589953181431758525878433917429048599312227_<52>

P73 = 3245146329238009533862563963395689962721320618144524204131370489223398803_<73>

(22·10¹⁴⁷-1)/3 = 7(3)₁₄₇_<148> = 449 · 4091 · 11587 · 1995979 · C132

C132 = P43 · P89

P43 = 2283671532516725502513888786325831590068401_<43>

P89 = 75590112688564545567397912036486104365492754460068786387536519107595680160542735152360319_<89>

(22·10¹⁴⁹-1)/3 = 7(3)₁₄₉_<150> = 79 · 7214100854046126551689948562629_<31> · C118

C118 = P46 · P72

P46 = 2900844182741011038802964042831611668414074483_<46>

P72 = 443575676695926042402194599149353537519016436690125303029441623515029861_<72>

(55·10¹²⁸-1)/9 = 6(1)₁₂₈_<129> = 13 · 173501 · C123

C123 = P36 · P88

P36 = 267350595898139762368454460164113817_<36>

P88 = 1013429843029937198436746356859402707194204823053998286988325996171423062779493859595191_<88>

May 5, 2005 (4th)

77...779 was completed up to n=150 and extended to n=200.

All of the form (R)_wD were completed up to n=150.

May 5, 2005 (3rd)

By Makoto Kamada / GGNFS-0.76.9

(7·10¹⁴⁸+11)/9 = (7)₁₄₇9_<148> = 3 · 41 · 48708977 · 86351531742551_<14> · C125

C125 = P36 · P89

P36 = 993415971661492272163599319581961343_<36>

P89 = 15133529472233645401523975462432692831624602704430654462481118938232590314939464614371793_<89>

s149-77779_148.txt

Number: 77779_148 N=15033889885326817181867255099820177295157924266864042136468684559513531869612605707988107216897068447470482738289752755597999 ( 125 digits) SNFS difficulty: 149 digits. Divisors found: r1=993415971661492272163599319581961343 (pp36) r2=15133529472233645401523975462432692831624602704430654462481118938232590314939464614371793 (pp89) Version: GGNFS-0.76.9 Total time: 32.70 hours. Scaled time: 28.15 units (timescale=0.861). Factorization parameters were as follows: n: 15033889885326817181867255099820177295157924266864042136468684559513531869612605707988107216897068447470482738289752755597999 m: 200000000000000000000000000000 c5: 875 c0: 44 skew: 1 type: snfs Factor base limits: 1500000/1500000 Large primes per side: 3 Large prime bits: 26/26 Sieved special-q in [750000, 4950001) Relations: rels:3236285, finalFF:259300 Initial matrix: 228385 x 259300 with sparse part having weight 33185814. Pruned matrix : 225380 x 226585 with weight 26444686. Total sieving time: 30.86 hours. Total relation processing time: 0.32 hours. Matrix solve time: 1.46 hours. Time per square root: 0.06 hours. Prototype def-par.txt line would be: snfs,149,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000 total time: 32.70 hours. --------- CPU info (if available) ----------

May 5, 2005 (2nd)

GGNFS-0.77.1 was released.

GGNFS - A Number Field Sieve implementation (Chris Monico)

May 5, 2005

By Kenichiro Yamaguchi / GMP-ECM 6.0

(4·10¹⁶³+23)/9 = (4)₁₆₂7_<163> = 7 · 14653 · 24469 · 64811 · 81929 · 2036542457_<10> · 1630218827711_<13> · 1296468959746039_<16> · C107

C107 = P27 · P81

P27 = 177398463287035313968056151_<27>

P81 = 436756065516448467442281333737017520714758168538104180331337529631398901862774229_<81>

May 4, 2005 (3rd)

By Kenichiro Yamaguchi / GMP-ECM 6.0

(4·10¹⁷⁷-31)/9 = (4)₁₇₆1_<177> = 3 · 7 · 41 · 83 · 9555151 · 121825559 · 6993278185679143_<16> · 1987450676488498295792213921_<28> · C114

C114 = P31 · P84

P31 = 3407439607954442734346086267079_<31>

P84 = 112811906700370798761209864336294709156790823811110626842278742489688809674782559879_<84>

May 4, 2005 (2nd)

GGNFS-0.77.0 was released.

GGNFS - A Number Field Sieve implementation (Chris Monico)

May 4, 2005

By Makoto Kamada / GGNFS-0.76.8-k1, GGNFS-0.76.9

(7·10¹⁴⁷+11)/9 = (7)₁₄₆9_<147> = 19 · 23 · 4157 · 147769 · 7547759 · C129

C129 = P51 · P79

P51 = 145432501641804194987359256941110878162433378597431_<51>

P79 = 2639558158481247702152440926494078037274802115370002626946831690773701265296931_<79>

s147-77779_147.txt

Number: 77779_147 N=383877546216961713950906194799982062249236889366438384138520548800447426468499074561108497772176645685937998051095795990528784261 ( 129 digits) SNFS difficulty: 147 digits. Divisors found: r1=145432501641804194987359256941110878162433378597431 (pp51) r2=2639558158481247702152440926494078037274802115370002626946831690773701265296931 (pp79) Version: GGNFS-0.76.9 Total time: 28.01 hours. Scaled time: 24.20 units (timescale=0.864). Factorization parameters were as follows: n: 383877546216961713950906194799982062249236889366438384138520548800447426468499074561108497772176645685937998051095795990528784261 m: 100000000000000000000000000000 c5: 700 c0: 11 skew: 1 type: snfs Factor base limits: 1500000/1500000 Large primes per side: 3 Large prime bits: 26/26 Sieved special-q in [750000, 4350001) Relations: rels:3121807, finalFF:256220 Initial matrix: 228090 x 256220 with sparse part having weight 32185442. Pruned matrix : 224819 x 226023 with weight 25955730. Total sieving time: 26.37 hours. Total relation processing time: 0.18 hours. Matrix solve time: 1.40 hours. Time per square root: 0.06 hours. Prototype def-par.txt line would be: snfs,147,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000 total time: 28.01 hours. --------- CPU info (if available) ----------

May 3, 2005 (3rd)

By Wataru Sakai / GMP-ECM 6.0.1

(88·10¹⁶³-7)/9 = 9(7)₁₆₃_<164> = 461 · 4423 · 94447 · 1091957 · 9195049 · 1323086437_<10> · C131

C131 = P34 · C97

P34 = 6193872774611976852485677182185861_<34>

C97 = [6170552443864005587034651815566131340863938024398971951303318466718882530081272506573784041246297_<97>]

May 3, 2005 (2nd)

By Makoto Kamada / GMP-ECM 6.0.1

(7·10¹⁵⁶-61)/9 = (7)₁₅₅1_<156> = 3 · 7547 · 138851716935889_<15> · C138

C138 = P29 · P109

P29 = 31283986568802026181261922819_<29>

P109 = 7908362731822548851724011300975381687743896892678084270755321904831025021858156202483075515131972758729597241_<109>

(7·10¹⁶¹-61)/9 = (7)₁₆₀1_<161> = 151² · 6577 · 3964174417114618793679334707731_<31> · C123

C123 = P31 · C92

P31 = 7173503721551823549835691411587_<31>

C92 = [18238524953407429520765065382411571274449875857508897325629149281010520127492754914054432259_<92>]

May 3, 2005

GGNFS-0.76.9 was released.

GGNFS - A Number Field Sieve implementation (Chris Monico)

May 2, 2005 (3rd)

By Makoto Kamada / GGNFS-0.76.8-k1

(7·10¹⁴³+11)/9 = (7)₁₄₂9_<143> = 13 · 41 · 390804571968647_<15> · C126

C126 = P40 · P41 · P46

P40 = 2289766861024041353959094772163226139523_<40>

P41 = 65105409509639567577345718954063213296449_<41>

P46 = 2504726698746752032164781729306971836933716427_<46>

s144-77779_143.txt

Number: 77779_143 N=373395161252478044074025446703317596721098634479280358044861929072612601115682663713788125030796556936209978404804072642916129 ( 126 digits) SNFS difficulty: 144 digits. Divisors found: r1=2289766861024041353959094772163226139523 (pp40) r2=65105409509639567577345718954063213296449 (pp41) r3=2504726698746752032164781729306971836933716427 (pp46) Version: GGNFS-0.76.8-k1 Total time: 16.60 hours. Scaled time: 14.32 units (timescale=0.863). Factorization parameters were as follows: n: 373395161252478044074025446703317596721098634479280358044861929072612601115682663713788125030796556936209978404804072642916129 m: 20000000000000000000000000000 c5: 875 c0: 44 skew: 1 type: snfs Factor base limits: 1300000/1300000 Large primes per side: 3 Large prime bits: 26/26 Sieved special-q in [650000, 2750001) Relations: rels:2859649, finalFF:237400 Initial matrix: 200007 x 237400 with sparse part having weight 27317006. Pruned matrix : 196013 x 197077 with weight 19490306. Total sieving time: 15.52 hours. Total relation processing time: 0.12 hours. Matrix solve time: 0.91 hours. Time per square root: 0.04 hours. Prototype def-par.txt line would be: snfs,144,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000 total time: 16.60 hours. --------- CPU info (if available) ----------

May 2, 2005 (2nd)

By Kenichiro Yamaguchi / GMP-ECM 6.0

(13·10¹⁵¹-1)/3 = 4(3)₁₅₁_<152> = 59 · 1187 · 15161 · 69491 · 27183107227518783285462349_<26> · C113

C113 = P37 · P76

P37 = 3047532030266442591249134337476328403_<37>

P76 = 7089499574115637029455405848167313330867927262329381546899758780820389068633_<76>

May 2, 2005

By Wataru Sakai / GMP-ECM 6.0.1

(82·10¹⁶⁸-1)/9 = 9(1)₁₆₈_<169> = 3 · 181 · 20807 · 265313 · 2283581021_<10> · 6627985703_<10> · 40132505737964821_<17> · C121

C121 = P33 · P88

P33 = 680903806222894612395599611481501_<33>

P88 = 7348919491167645134446584244235930230519903434295845362863781933790491713303841455204189_<88>

May 1, 2005 (3rd)

By Makoto Kamada / GGNFS-0.76.8-k1 gnfs

(73·10¹⁷⁴-1)/9 = 8(1)₁₇₄_<175> = 915068910732463_<15> · 161168447478302252881_<21> · 15151901726368547274161_<23> · 67649257454768559012132169_<26> · C92

C92 = P42 · P50

P42 = 769513822589732601146115104987191749621389_<42>

P50 = 69726830360915374327489509960239980109132783684837_<50>

g92-81111_174.txt

Number: 81111_174 N=53655759768093814155723668056059608754656370353997715907233761837300026077154814131050178593 ( 92 digits) Divisors found: r1=769513822589732601146115104987191749621389 (pp42) r2=69726830360915374327489509960239980109132783684837 (pp50) Version: GGNFS-0.76.8-k1 Total time: 6.87 hours. Scaled time: 5.05 units (timescale=0.736). Factorization parameters were as follows: name: 81111_174 n: 53655759768093814155723668056059608754656370353997715907233761837300026077154814131050178593 m: 1629479092076133800216 deg: 4 c4: 7610640 c3: 56683665 c2: -4570010546572698 c1: 11778607946502102990 c0: -37741019350739160239 skew: 1635.250 type: gnfs # adj. I(F,S) = 51.691 # E(F1,F2) = 8.121276e-05 # GGNFS version 0.76.8-k1 polyselect. # Options were: # lcd=1, enumLCD=24, maxS1=58.00000000, seed=1114882713. # maxskew=2000.0 # These parameters should be manually set: rlim: 700000 alim: 700000 lpbr: 25 lpba: 25 mfbr: 44 mfba: 44 rlambda: 2.4 alambda: 2.4 qintsize: 40000 type: gnfs Factor base limits: 700000/700000 Large primes per side: 3 Large prime bits: 25/25 Sieved special-q in [350000, 1110001) Relations: rels:1748163, finalFF:133277 Initial matrix: 112923 x 133277 with sparse part having weight 15097993. Pruned matrix : 109790 x 110418 with weight 10837840. Polynomial selection time: 0.17 hours. Total sieving time: 6.33 hours. Total relation processing time: 0.12 hours. Matrix solve time: 0.22 hours. Time per square root: 0.03 hours. Prototype def-par.txt line would be: gnfs,91,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,700000,700000,25,25,44,44,2.4,2.4,40000 total time: 6.87 hours. --------- CPU info (if available) ----------

Note: The timings are not informative because this factoring was parallel-processed with timer-controlled TV-recording.

May 1, 2005 (2nd)

811...11 was completed up to n=150 and extended to n=200.

May 1, 2005

By Greg Childers / GGNFS

(73·10¹²⁸-1)/9 = 8(1)₁₂₈_<129> = 3102850456730838869773_<22> · C108

C108 = P44 · P64

P44 = 88145146788324786601066001277456606273526721_<44>

P64 = 2965658229312711280672592315071466698732823072548484857611037667_<64>

(73·10¹³⁰-1)/9 = 8(1)₁₃₀_<131> = 3 · 19 · 59149 · C125

C125 = P57 · P68

P57 = 254598585705273884063831377723487427452507796108582701051_<57>

P68 = 94493536155070554478692693417661100838095436702079866563460853379777_<68>

(73·10¹³⁷-1)/9 = 8(1)₁₃₇_<138> = 7 · 17 · 48378607 · 9012162445972683674297_<22> · C107

C107 = P53 · P54

P53 = 48820731231368639010942884607337751657342879753076971_<53>

P54 = 320218735873811343082387627756574642406159808074947141_<54>

(73·10¹³⁸-1)/9 = 8(1)₁₃₈_<139> = 23 · 5881 · C134

C134 = P38 · P97

P38 = 20550217848158827690765665105772045577_<38>

P97 = 2917997430751884125589588635712543583560017000408897025617347496600801747875941371252636637049361_<97>

(73·10¹³⁹-1)/9 = 8(1)₁₃₉_<140> = 3 · 783566963 · 4777344126483896523285239_<25> · C106

C106 = P47 · P60

P47 = 13185889960268919788213995928494146586472528377_<47>

P60 = 547755826727374398278194612196230511365536575392794718931233_<60>

(73·10¹⁴⁶-1)/9 = 8(1)₁₄₆_<147> = 67 · 71 · 2969 · 48107663 · 6019613513_<10> · 2755148784627079_<16> · C107

C107 = P31 · P35 · P42

P31 = 7367709020992366316984705878919_<31>

P35 = 21877749817345977056648669895466859_<35>

P42 = 446553974601218471591705123088806201505727_<42>

(73·10¹⁴⁸-1)/9 = 8(1)₁₄₈_<149> = 3 · 19 · 10391 · 3481496035449266759787839_<25> · C119

C119 = P40 · P80

P40 = 1721182176943702807399847567750693189969_<40>

P80 = 22853641213202227068523577883264239564991985988203049530701824462013653201542583_<80>

(22·10¹³⁵-1)/3 = 7(3)₁₃₅_<136> = 648324739 · 1187092199_<10> · C118

C118 = P34 · P37 · P49

P34 = 2097507349764705383454278985909679_<34>

P37 = 1166071963098961649276137230569419913_<37>

P49 = 3895789982810454067138603854806321286670842226039_<49>

(22·10¹³⁶-1)/3 = 7(3)₁₃₆_<137> = 13 · 79 · 167 · 655337 · C126

C126 = P50 · P77

P50 = 47468721932558577314905028553312308620270690913633_<50>

P77 = 13744922134993975653810293171547896901397760690085432601593001292479063905497_<77>

April 2005

Apr 30, 2005

By Sinkiti Sibata / GGNFS-0.73.4

(46·10¹⁴⁵-1)/9 = 5(1)₁₄₅_<146> = 3 · 17 · C145

C145 = P34 · P111

P34 = 1479948218790682322649519735552899_<34>

P111 = 677171428373614413221442356947475909522212656512617893117661979283669967520494574265965024003099442977140355039_<111>

Number: m51106
N=1002178649237472766884531590413943355119825708061002178649237472766884531590413943355119825708061002178649237472766884531590413943355119825708061
  ( 145 digits)
Divisors found:
 r1=1479948218790682322649519735552899 (pp34)
 r2=677171428373614413221442356947475909522212656512617893117661979283669967520494574265965024003099442977140355039 (pp111)
Version: GGNFS-0.73.4
Total time: 27.66 hours.
Scaled time: 17.04 units (timescale=0.616).
Factorization parameters were as follows:
name: m51106
n: 1002178649237472766884531590413943355119825708061002178649237472766884531590413943355119825708061002178649237472766884531590413943355119825708061
m: 200000000000000000000000000000
c5: 23
c0: -16
skew: 2
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [750000, 3250001)
Relations: rels:4025816, finalFF:274381
Initial matrix: 228668 x 274381 with sparse part having weight 25118042.
Pruned matrix : 213612 x 214819 with weight 18794437.
Total sieving time: 25.37 hours.
Total relation processing time: 0.29 hours.
Matrix solve time: 1.90 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,144,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1500000,1500000,27,27,45,45,2.3,2.3,100000
total time: 27.66 hours.
 --------- CPU info (if available) ----------

Apr 29, 2005

By Sinkiti Sibata / GGNFS-0.73.4

(46·10¹⁴³-1)/9 = 5(1)₁₄₃_<144> = 19373 · 2493613047659664617_<19> · C122

C122 = P59 · P63

P59 = 13548360899935912604568399686520512463150505140357917069291_<59>

P63 = 780912950724134051340789057048770562094566671147930327961995681_<63>

Number: m51105
N=10580090487844437790473423646353477188193058480378051097681099860126355753384119756693667560364711367352714302971119732171
  ( 122 digits)
Divisors found:
 r1=13548360899935912604568399686520512463150505140357917069291 (pp59)
 r2=780912950724134051340789057048770562094566671147930327961995681 (pp63)
Version: GGNFS-0.73.4
Total time: 36.01 hours.
Scaled time: 19.38 units (timescale=0.538).
Factorization parameters were as follows:
name: m51105
n: 10580090487844437790473423646353477188193058480378051097681099860126355753384119756693667560364711367352714302971119732171
m: 20000000000000000000000000000
c5: 2875
c0: -2
skew: 2
type: snfs
　Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [650000, 4150001)
Relations: rels:4492398, finalFF:232248
Initial matrix: 200090 x 232248 with sparse part having weight 24250685.
Pruned matrix : 191266 x 192330 with weight 19434837.
Total sieving time: 33.84 hours.
Total relation processing time: 0.41 hours.
Matrix solve time: 1.65 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,121,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1300000,1300000,27,27,45,45,2.3,2.3,100000
total time: 36.01 hours.
 --------- CPU info (if available) ----------

Apr 28, 2005 (2nd)

By Sinkiti Sibata / GGNFS-0.73.4

(46·10¹⁴¹-1)/9 = 5(1)₁₄₁_<142> = 6317 · C138

C138 = P51 · P88

P51 = 173054415449634714471316150850972053953492570241499_<51>

P88 = 4675432168868227863991748073585033746958777046432179287350715754643327983229512268425017_<88>

Number: m51104
N=809104180957908993368863560410180641303009515768736918016639403373612650167977063655391975797231456563417937487907410338944294936063180483
  ( 138 digits)
Divisors found:
 r1=173054415449634714471316150850972053953492570241499 (pp51)
 r2=4675432168868227863991748073585033746958777046432179287350715754643327983229512268425017 (pp88)
Version: GGNFS-0.73.4
Total time: 14.07 hours.
Scaled time: 8.65 units (timescale=0.615).
Factorization parameters were as follows:
name: m51104
n: 809104180957908993368863560410180641303009515768736918016639403373612650167977063655391975797231456563417937487907410338944294936063180483
m: 20000000000000000000000000000
c5: 115
c0: -8
skew: 2
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [650000, 1850001)
Relations: rels:3441005, finalFF:234696
Initial matrix: 200271 x 234696 with sparse part having weight 18602285.
Pruned matrix : 188551 x 189616 with weight 13678863.
Total sieving time: 12.69 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 1.11 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,137,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1300000,1300000,27,27,45,45,2.3,2.3,100000
total time: 14.07 hours.
 --------- CPU info (if available) ----------

Apr 28, 2005

By Makoto Kamada / GGNFS-0.76.8-k1

(7·10¹⁴²+11)/9 = (7)₁₄₁9_<142> = 3 · 107 · 2030643702079_<13> · 164468036194289_<15> · C113

C113 = P57(1971...) · P57(3680...)

P57(1971...) = 197112942253336427054440685707575978742217016020240134213_<57>

P57(3680...) = 368061271611974101618532409545486155253780038347566783033_<57>

s142-77779_142.txt

Number: 77779_142 N=72549640176940625085127442297391815292615559791737414971503599946365342592284232923255232889207727958568571208029 ( 113 digits) SNFS difficulty: 142 digits. Divisors found: r1=197112942253336427054440685707575978742217016020240134213 (pp57) r2=368061271611974101618532409545486155253780038347566783033 (pp57) Version: GGNFS-0.76.8-k1 Total time: 16.36 hours. Scaled time: 14.10 units (timescale=0.862). Factorization parameters were as follows: n: 72549640176940625085127442297391815292615559791737414971503599946365342592284232923255232889207727958568571208029 m: 10000000000000000000000000000 c5: 700 c0: 11 skew: 1 type: snfs Factor base limits: 1300000/1300000 Large primes per side: 3 Large prime bits: 26/26 Sieved special-q in [650000, 2650001) Relations: rels:2838522, finalFF:230806 Initial matrix: 200027 x 230806 with sparse part having weight 26194984. Pruned matrix : 196732 x 197796 with weight 19682544. Total sieving time: 15.24 hours. Total relation processing time: 0.13 hours. Matrix solve time: 0.95 hours. Time per square root: 0.04 hours. Prototype def-par.txt line would be: snfs,142,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000 total time: 16.36 hours. --------- CPU info (if available) ----------

Apr 27, 2005 (3rd)

By Makoto Kamada / GGNFS-0.76.8-k1

(7·10¹³³+11)/9 = (7)₁₃₂9_<133> = 3 · 41 · 1363925384883079_<16> · C116

C116 = P53 · P64

P53 = 13882697967978815356999998203685543888774336835187267_<53>

P64 = 3339534477486766645869026862061043795964605721391888748132485061_<64>

s134-77779_133.txt

Number: 77779_133 N=46361748504600730215804360124601167648039253397875839974576838248107810893827045621846932678348772641016048014918287 ( 116 digits) SNFS difficulty: 134 digits. Divisors found: r1=13882697967978815356999998203685543888774336835187267 (pp53) r2=3339534477486766645869026862061043795964605721391888748132485061 (pp64) Version: GGNFS-0.76.8-k1 Total time: 7.39 hours. Scaled time: 6.34 units (timescale=0.859). Factorization parameters were as follows: n: 46361748504600730215804360124601167648039253397875839974576838248107810893827045621846932678348772641016048014918287 m: 200000000000000000000000000 c5: 875 c0: 44 skew: 1 type: snfs Factor base limits: 1000000/800000 Large primes per side: 3 Large prime bits: 25/25 Sieved special-q in [400000, 1375001) Relations: rels:1601383, finalFF:188931 Initial matrix: 142689 x 188931 with sparse part having weight 16027581. Pruned matrix : 136247 x 137024 with weight 8505399. Total sieving time: 7.06 hours. Total relation processing time: 0.07 hours. Matrix solve time: 0.24 hours. Time per square root: 0.03 hours. Prototype def-par.txt line would be: snfs,134,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000 total time: 7.39 hours. --------- CPU info (if available) ----------

Apr 27, 2005

By Sinkiti Sibata / GGNFS-0.73.4

(46·10¹³⁷-1)/9 = 5(1)₁₃₇_<138> = 183191 · 13214693 · C126

C126 = P35 · P91

P35 = 21500263345040140680177479810083291_<35>

P91 = 9819973850221044705481189378115059795906122802237841682911183553041554013653510858508712967_<91>

511...11  n=137
Number: m51103
N=211132023821160228058536474552039094905538977248437397207662404021149242900030462263599439295528564727772475393643745481734397
  ( 126 digits)
Divisors found:
 r1=21500263345040140680177479810083291 (pp35)
 r2=9819973850221044705481189378115059795906122802237841682911183553041554013653510858508712967 (pp91)
Version: GGNFS-0.73.4
Total time: 21.70 hours.
Scaled time: 11.80 units (timescale=0.544).
Factorization parameters were as follows:
name: m51103
n: 211132023821160228058536474552039094905538977248437397207662404021149242900030462263599439295528564727772475393643745481734397
m: 2000000000000000000000000000
c5: 575
c0: -4
skew: 2
type: snfs

Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 2725001)
Relations: rels:1868022, finalFF:160057
Initial matrix: 142878 x 160057 with sparse part having weight 15419601.
Pruned matrix : 138596 x 139374 with weight 12747139.
Total sieving time: 20.71 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 0.75 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,125,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 21.70 hours.
 --------- CPU info (if available) ----------

Apr 26, 2005 (7th)

GGNFS-0.76.8 was released.

GGNFS - A Number Field Sieve implementation (Chris Monico)

Apr 26, 2005 (6th)

877...77 was completed up to n=150 and extended to n=200.

Apr 26, 2005 (5th)

(79·10¹⁴¹-7)/9 = 8(7)₁₄₁_<142> = 29 · 269 · 47701 · 53961707 · C126

C126 = P36 · P90

P36 = 962917808345966374140858316488668693_<36>

P90 = 453974984128998297419281072430079299912697455912175968680541160315429146445373366309562627_<90>

(79·10¹⁴²-7)/9 = 8(7)₁₄₂_<143> = 3 · 23801 · 3180271 · 2274975393117379_<16> · C117

C117 = P54 · P64

P54 = 103362200723771968050251614257971661003681520194908011_<54>

P64 = 1643862705666786962264445083888886334183492795629961930240355741_<64>

(79·10¹⁴⁵-7)/9 = 8(7)₁₄₅_<146> = 3 · 251179 · 6376594151_<10> · 11723589796112813807_<20> · C112

C112 = P34 · P78

P34 = 9904980113260985473300257589561781_<34>

P78 = 157317487391679322443617403504147918665067839425210802819376140882728056142213_<78>

(79·10¹⁴⁶-7)/9 = 8(7)₁₄₆_<147> = 6793 · 163151 · 5758775359_<10> · 605663053578405079_<18> · C111

C111 = P34 · P78

P34 = 1170644891328605627800277649237881_<34>

P78 = 193975479227269007806352169051997628447094967379670003400328405055517730573479_<78>

(79·10¹⁴⁸-7)/9 = 8(7)₁₄₈_<149> = 3² · 457 · 428693 · C140

C140 = P40 · P101

P40 = 1045059974643046535475147584447096794057_<40>

P101 = 47636326743318395474221969473962548013577751292838687898265343630915680195312801909981884477621407029_<101>

(79·10¹⁴⁹-7)/9 = 8(7)₁₄₉_<150> = 75963852469_<11> · 1971858153910503758439816719274653_<34> · C106

C106 = P38 · P68

P38 = 58898996531290189163443434051201583057_<38>

P68 = 99493345362430927547883863895453784020973388737798576760582245792673_<68>

Apr 26, 2005 (4th)

77...771 was completed up to n=150 and extended to n=200.

Apr 26, 2005 (3rd)

By Makoto Kamada / GGNFS-0.76.7-k2

(7·10¹⁵⁰-61)/9 = (7)₁₄₉1_<150> = 3² · 109 · 5281 · C144

C144 = P37 · P51 · P56

P37 = 7463196942681608557301731181831180779_<37>

P51 = 644640595565538317718106739427119856160133212816087_<51>

P56 = 31205259772146653085974584759316287155284468023469049707_<56>

Number: 77771_150
N=150130992508055975439770673622106865857035960812293600715773098795265271705247221884963671195196477395023101835417869993380724540319812042860511
  ( 144 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=7463196942681608557301731181831180779 (pp37)
 r2=644640595565538317718106739427119856160133212816087 (pp51)
 r3=31205259772146653085974584759316287155284468023469049707 (pp56)
Version: GGNFS-0.76.7-k2
Total time: 21.84 hours.
Scaled time: 18.85 units (timescale=0.863).
Factorization parameters were as follows:
n: 150130992508055975439770673622106865857035960812293600715773098795265271705247221884963671195196477395023101835417869993380724540319812042860511
m: 1000000000000000000000000000000
c5: 7
c0: -61
skew: 3
type: snfs
qintsize: 10000
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [1200000, 1890001)
Relations: rels:5015916, finalFF:402576
Initial matrix: 353056 x 402576 with sparse part having weight 31706905.
Pruned matrix : 337705 x 339534 with weight 21302252.
Total sieving time: 18.78 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 2.81 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,150,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 21.84 hours.
 --------- CPU info (if available) ----------

Note: (q0,qintsize)=(1200000,200000),(1400000,200000),(1600000,200000),(1800000,50000),(1850000,10000),(1860000,10000),(1870000,10000),(1880000,10000)

Apr 26, 2005 (2nd)

By Sinkiti Sibata / GGNFS-0.73.4

(46·10¹²⁶-1)/9 = 5(1)₁₂₆_<127> = 79 · 109 · 9311 · C119

C119 = P59 · P61

P59 = 38700686317235083981280550246334580633322862704245433167369_<59>

P61 = 1647201539488966597790916821849220994791584251588562540446139_<61>

Number: m51101
N=63747830081029215479471494845276318149948613220627280615865125633828564310354098976951402461200337078015297065116838291
  ( 119 digits)
Divisors found:
 r1=38700686317235083981280550246334580633322862704245433167369 (pp59)
 r2=1647201539488966597790916821849220994791584251588562540446139 (pp61)
Version: GGNFS-0.73.4
Total time: 3.94 hours.
Scaled time: 2.42 units (timescale=0.616).
Factorization parameters were as follows:
name: m51101
n: 63747830081029215479471494845276318149948613220627280615865125633828564310354098976951402461200337078015297065116838291
m: 20000000000000000000000000
c5: 115
c0: -8
skew: 2
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 700001)
Relations: rels:2323159, finalFF:199875
Initial matrix: 113163 x 199875 with sparse part having weight 15638741.
Pruned matrix : 94081 x 94710 with weight 5837672.
Total sieving time: 3.54 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.26 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,118,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 3.94 hours.
 --------- CPU info (if available) ----------

(46·10¹²⁷-1)/9 = 5(1)₁₂₇_<128> = 3 · 53 · 4549 · C122

C122 = P31 · P35 · P58

P31 = 2392363859435809818983340513613_<31>

P35 = 15163438997833256916576351306410299_<35>

P58 = 1947947821805882890665273105730403500850339306912125658683_<58>

Number: m51102
N=70664657946955113655653272487990464572504166526489491934935055338876207655163842922296988502706533208779192760743754742021
  ( 122 digits)
Divisors found:
 r1=2392363859435809818983340513613 (pp31)
 r2=15163438997833256916576351306410299 (pp35)
 r3=1947947821805882890665273105730403500850339306912125658683 (pp58)
Version: GGNFS-0.73.4
Total time: 5.98 hours.
Scaled time: 3.25 units (timescale=0.543).
Factorization parameters were as follows:
name: m51102
n: 70664657946955113655653272487990464572504166526489491934935055338876207655163842922296988502706533208779192760743754742021
m: 20000000000000000000000000
c5: 575
c0: -4
skew: 2
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 900001)
Relations: rels:2381822, finalFF:136518
Initial matrix: 113478 x 136518 with sparse part having weight 11344719.
Pruned matrix : 109245 x 109876 with weight 8136832.
Total sieving time: 5.45 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.35 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,121,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 5.98 hours.
 --------- CPU info (if available) ----------

Apr 26, 2005

By Wataru Sakai / GMP-ECM 6.0.1

(82·10¹⁸⁴-1)/9 = 9(1)₁₈₄_<185> = 4057 · 39916831 · 119210473 · 3069318619261829107267_<22> · C145

C145 = P29 · P116

P29 = 25150149627114572596041352157_<29>

P116 = 61138294792899960823206015137559502322128591324688472543688005401600350903991080982762707935114037382269465807876559_<116>

Apr 25, 2005 (5th)

By Makoto Kamada / GMP-ECM 6.0.1

(5·10¹⁸¹+13)/9 = (5)₁₈₀7_<181> = 7 · 323181862513_<12> · C169

C169 = P28 · C141

P28 = 3395082287015165440917727243_<28>

C141 = [723322826342414230897947270160507249423718392903192496421233613161383493553692173935273317744574018924734674001169408821616457989025007054089_<141>

Apr 25, 2005 (4th)

By Patrick De Geest / Apr 21, 2005

(65·10²⁴²¹⁴+43)/9 = 7(2)₂₄₂₁₃7_<24215> is PRP.

By Patrick De Geest / Apr 23, 2005

(68·10²⁰⁹²⁴+13)/9 = 7(5)₂₀₉₂₃7_<20925> is PRP.

(68·10²³⁷⁸⁶+13)/9 = 7(5)₂₃₇₈₅7_<23787> is PRP.

Reference: Plateau and Depression Primes (Patrick De Geest)

Apr 25, 2005 (3rd)

311...11 was completed up to n=150 and extended to n=200.

Apr 25, 2005 (2nd)

By Sinkiti Sibata / GGNFS-0.73.4, GMP-ECM 6.0

(28·10¹⁴⁹-1)/9 = 3(1)₁₄₉_<150> = 83 · 18131 · C144

C144 = P69 · P76

P69 = 109712637690850034608956265910417297400012012734563892169318853345141_<69>

P76 = 1884338906467129357869775163361615341452520042565997407540228991425036222227_<76>

Number: l31109
N=206735791732000714419828856728183116522863464964226955438173926378578864203897013974675013181252578198366979214266659785318170444357172406649007
  ( 144 digits)
Divisors found:
 r1=109712637690850034608956265910417297400012012734563892169318853345141 (pp69)
 r2=1884338906467129357869775163361615341452520042565997407540228991425036222227 (pp76)
Version: GGNFS-0.73.4
Total time: 44.12 hours.
Scaled time: 23.96 units (timescale=0.543).
Factorization parameters were as follows:
name: l31109
n: 206735791732000714419828856728183116522863464964226955438173926378578864203897013974675013181252578198366979214266659785318170444357172406649007
m: 1000000000000000000000000000000
c5: 14
c0: -5
skew: 2
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [750000, 4950001)
Relations: rels:4581716, finalFF:270544
Initial matrix: 228613 x 270544 with sparse part having weight 28241121.
Pruned matrix : 216241 x 217448 with weight 22146395.
Total sieving time: 41.21 hours.
Total relation processing time: 0.46 hours.
Matrix solve time: 2.34 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,143,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1500000,1500000,27,27,45,45,2.3,2.3,100000
total time: 44.12 hours.
 --------- CPU info (if available) ----------

(4·10¹⁵¹+23)/9 = (4)₁₅₀7_<151> = 7 · 149 · 1310797 · C142

C142 = P41 · P102

P41 = 16076983247191394230946741155197657291883_<41>

P102 = 202205598358382954832611424841846506881013779686739839063387159950853143131222498975167645613503455179_<102>

Apr 25, 2005

By Wataru Sakai / GMP-ECM 6.0

(34·10¹⁷⁵-7)/9 = 3(7)₁₇₅_<176> = 37 · 3167 · C171

C171 = P37 · C135

P37 = 1869719183555597792745553130948933651_<37>

C135 = [172428970884790267773572098773555067620313052257695903370786924123067941585320204628825035992757544753373779549183051477378222231412113_<135>]

(7·10¹⁶⁵-1)/3 = 2(3)₁₆₅_<166> = 181 · 353 · 163334060377_<12> · 643117418899_<12> · 368227680607454014054110338137_<30> · C108

C108 = P32 · P77

P32 = 25264598480163879162818234792003_<32>

P77 = 37370390923630229373194692343284566294654187441060291736869001049044612868377_<77>

(7·10¹⁸⁴-1)/3 = 2(3)₁₈₄_<185> = 1142348900243197417_<19> · 142465396305197131512582268021051_<33> · C135

C135 = P36 · P99

P36 = 203872695182143125479149343403594541_<36>

P99 = 703249711284032436485688352801256355273488887076887804276466130553333373077465776912850441962670739_<99>

Apr 24, 2005

By Makoto Kamada / GGNFS-0.76.7-k2

(7·10¹⁴⁹-61)/9 = (7)₁₄₈1_<149> = 555630322675904218078384300423796723653_<39> · C111

C111 = P49 · P62

P49 = 2485057664954412787686484369815388717811983973779_<49>

P62 = 56329140041737536983140214897916095589552398254244315322881333_<62>

s150-77771_149.txt

Number: 77771_149 N=139981161221010397731653123017062767499842036659860080769697961983570117014800778312472409366714045213400567407 ( 111 digits) SNFS difficulty: 150 digits. Divisors found: r1=2485057664954412787686484369815388717811983973779 (pp49) r2=56329140041737536983140214897916095589552398254244315322881333 (pp62) Version: GGNFS-0.76.7-k2 Total time: 29.96 hours. Scaled time: 25.83 units (timescale=0.862). Factorization parameters were as follows: n: 139981161221010397731653123017062767499842036659860080769697961983570117014800778312472409366714045213400567407 m: 1000000000000000000000000000000 c5: 7 c0: -610 skew: 4 type: snfs qintsize: 100000 Factor base limits: 2400000/2400000 Large primes per side: 3 Large prime bits: 27/27 Sieved special-q in [1200000, 2200001) Relations: rels:5385905, finalFF:452493 Initial matrix: 353011 x 452493 with sparse part having weight 40450103. Pruned matrix : 334079 x 335908 with weight 21490156. Total sieving time: 26.87 hours. Total relation processing time: 0.15 hours. Matrix solve time: 2.86 hours. Time per square root: 0.08 hours. Prototype def-par.txt line would be: snfs,150,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000 total time: 29.96 hours. --------- CPU info (if available) ----------

Apr 22, 2005 (2nd)

By Sinkiti Sibata / GGNFS-0.73.4

(28·10¹⁴⁸-1)/9 = 3(1)₁₄₈_<149> = 20297 · C145

C145 = P55 · P90

P55 = 5832655002086973292533748447156252349399054005111269643_<55>

P90 = 262795171406053605652617712159477735923385859363447375812037122013872356413610009393027341_<90>

Number: l31108
N=1532793571025822097409031438690994290343947928812687151357890876046268468793965172740361191856486727649953742479731542154560334586939503922309263
  ( 145 digits)
Divisors found:
 r1=5832655002086973292533748447156252349399054005111269643 (pp55)
 r2=262795171406053605652617712159477735923385859363447375812037122013872356413610009393027341 (pp90)
Version: GGNFS-0.73.4
Total time: 36.05 hours.
Scaled time: 22.21 units (timescale=0.616).
Factorization parameters were as follows:
name: l31108
n: 1532793571025822097409031438690994290343947928812687151357890876046268468793965172740361191856486727649953742479731542154560334586939503922309263
m: 200000000000000000000000000000
c5: 875
c0: -1
skew: 2
type: snfs

Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [750000, 4050001)
Relations: rels:4250124, finalFF:271379
Initial matrix: 227758 x 271379 with sparse part having weight 26310421.
Pruned matrix : 213853 x 215055 with weight 20206296.
Total sieving time: 33.60 hours.
Total relation processing time: 0.45 hours.
Matrix solve time: 1.91 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,144,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1500000,1500000,27,27,45,45,2.3,2.3,100000
total time: 36.05 hours.
 --------- CPU info (if available) ----------

Apr 22, 2005

By Wataru Sakai / GMP-ECM 6.0, ppsiqs

(34·10¹⁶³-7)/9 = 3(7)₁₆₃_<164> = 37 · 2213 · 13873 · 2717573 · 629042127787814715016213_<24> · 2387205364866130122216319301_<28> · C97

C97 = P30 · P34(6100...) · P34(7595...)

P30 = 175892174951568063738151529719_<30>

P34(6100...) = 6100305405436925626306059165406463_<34>

P34(7595...) = 7595109746811155314245820393107493_<34>

(34·10¹⁹¹-7)/9 = 3(7)₁₉₁_<192> = 21137359 · C185

C185 = P31 · C154

P31 = 2442524131464683253791492531113_<31>

C154 = [7317231931100555660307974659781822643987331527345602639140892422425831313154900459927911307961271247457274314573737735938888598336999780999553083799310631_<154>]

Apr 21, 2005 (2nd)

By Sinkiti Sibata / GGNFS-0.73.4

(28·10¹⁴⁷-1)/9 = 3(1)₁₄₇_<148> = 3 · 17 · 53 · 5335755289_<10> · C135

C135 = P51 · P85

P51 = 188537518563012513122387659479595807159890697208441_<51>

P85 = 1144131086843924892396284393693892007671045374707891235617520596889136021659017349113_<85>

Number: l31107
N=215711636024356171136259450317142057286458653634236814475120610444086131997493414577157552608859911099463301808885750966397137027462833
  ( 135 digits)
Divisors found:
 r1=188537518563012513122387659479595807159890697208441 (pp51)
 r2=1144131086843924892396284393693892007671045374707891235617520596889136021659017349113 (pp85)
Version: GGNFS-0.73.4
Total time: 41.12 hours.
Scaled time: 22.37 units (timescale=0.544).
Factorization parameters were as follows:
name: l31107
n: 215711636024356171136259450317142057286458653634236814475120610444086131997493414577157552608859911099463301808885750966397137027462833
m: 200000000000000000000000000000
c5: 175
c0: -2
skew: 2
type: snfs

Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [750000, 4650001)
Relations: rels:4478278, finalFF:257767
Initial matrix: 228603 x 257767 with sparse part having weight 25987572.
Pruned matrix : 219977 x 221184 with weight 21557152.
Total sieving time: 38.21 hours.
Total relation processing time: 0.42 hours.
Matrix solve time: 2.38 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,134,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1500000,1500000,27,27,45,45,2.3,2.3,100000
total time: 41.12 hours.
 --------- CPU info (if available) ----------

Apr 21, 2005

GGNFS-0.76.7 was released.

GGNFS - A Number Field Sieve implementation (Chris Monico)

Apr 20, 2005

By Makoto Kamada / GMP-ECM 6.0.1

(4·10¹⁷⁸-31)/9 = (4)₁₇₇1_<178> = 79 · C176

C176 = P25 · P152

P25 = 1454636961350671820684653_<25>

P152 = 38675485314059212213362628822433187968055344928163547823737146849834297527351422527392394220459007586366380169257594860787275372503053906042049379898643_<152>

Apr 19, 2005 (3rd)

By Greg Childers / GGNFS

(79·10¹³⁰-7)/9 = 8(7)₁₃₀_<131> = 3² · 23 · 7753 · C125

C125 = P50 · P75

P50 = 87852156910981748963827411242902339451719662631441_<50>

P75 = 622575496842196079944269287180775768915632176410247848675058282237098994007_<75>

(79·10¹³¹-7)/9 = 8(7)₁₃₁_<132> = 2027 · 167099 · C124

C124 = P58 · P66

P58 = 6339489895631067272405153849976882861595921763081853789809_<58>

P66 = 408792263733038105310352306120575926407165931446528708134291684761_<66>

(79·10¹³²-7)/9 = 8(7)₁₃₂_<133> = 61 · 21937 · 34664053 · C120

C120 = P38 · P82

P38 = 22402834500706174331519211189250744043_<38>

P82 = 8446858148752724085126640445629105130388709245371288031651389021497634362927605859_<82>

(79·10¹³³-7)/9 = 8(7)₁₃₃_<134> = 3 · 19 · 131 · 367 · C128

C128 = P60 · P68

P60 = 324414619178906490467454202971739961429142350293303048478219_<60>

P68 = 98735186210383949181018346423482341905135944398687224773201244497847_<68>

(79·10¹³⁶-7)/9 = 8(7)₁₃₆_<137> = 3 · C137

C137 = P68 · P70

P68 = 13849741415614216417922294395086652770736611282736181539471419078631_<68>

P70 = 2112621339361060738459333079391665299342139635682486660691788348858189_<70>

(79·10¹³⁷-7)/9 = 8(7)₁₃₇_<138> = 5667367 · 1287080941_<10> · C123

C123 = P50 · P73

P50 = 76572912595774863595940218511266290227184043721111_<50>

P73 = 1571528345837140402179946004762496112746455103670922030804717525099701781_<73>

(79·10¹⁴⁰-7)/9 = 8(7)₁₄₀_<141> = 17 · 1789 · 7718740572611_<13> · 2135420728795521859_<19> · C106

C106 = P34 · P72

P34 = 9590367560093717159072778076164581_<34>

P72 = 182582928677329712557337207442640767492104390908201256278464564458954441_<72>

Apr 19, 2005 (2nd)

By Makoto Kamada / GMP-ECM 6.0.1

(37·10¹⁵⁴-1)/9 = 4(1)₁₅₄_<155> = 7 · 137 · 19126002363405928121_<20> · 127351652491941403353721613_<27> · C107

C107 = P32 · P75

P32 = 63700761301826562377539323194671_<32>

P75 = 276291290536828293934811713480966566248898664377085410565259790710409527563_<75>

Apr 19, 2005

By Sinkiti Sibata / GGNFS-0.73.4

(28·10¹⁴⁶-1)/9 = 3(1)₁₄₆_<147> = 557 · 13348403 · C137

C137 = P69(1359...) · P69(3077...)

P69(1359...) = 135946790369989487351394815094401985653072460527854961951072789406649_<69>

P69(3077...) = 307795352666770994437375124491141669602934981887147533997871263854009_<69>

Number: l31106
N=41843790285846501101189377416041612059016582423585120981205145481473934216655695457236195908689753427442044420073030917936580036069905841
  ( 137 digits)
Divisors found:
 r1=135946790369989487351394815094401985653072460527854961951072789406649 (pp69)
 r2=307795352666770994437375124491141669602934981887147533997871263854009 (pp69)
Version: GGNFS-0.73.4
Total time: 25.20 hours.
Scaled time: 15.52 units (timescale=0.616).
Factorization parameters were as follows:
name: l31106
n: 418437902858465011011893774160416120590165824235851209812051454814739342166556954572361959086897534274420444200730309179365800360699
05841
m: 200000000000000000000000000000
c5: 35
c0: -4
skew: 2
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [750000, 2950001)
Relations: rels:3843113, finalFF:264358
Initial matrix: 228664 x 264358 with sparse part having weight 23304599.
Pruned matrix : 216595 x 217802 with weight 18126045.
Total sieving time: 22.98 hours.
Total relation processing time: 0.29 hours.
Matrix solve time: 1.83 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,136,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1500000,1500000,27,27,45,45,2.3,2.3,100000
total time: 25.20 hours.
 --------- CPU info (if available) ----------

Apr 18, 2005 (3rd)

By Sinkiti Sibata / GGNFS-0.73.4

(28·10¹³⁶-1)/9 = 3(1)₁₃₆_<137> = 31 · 6469 · 16381 · 1749001 · C121

C121 = P54 · P68

P54 = 303639927086451348390224610638032524907346867513043503_<54>

P68 = 17833119933549804907843420188189974329012488534323956272603491728943_<68>

Number: l31105
N=5414847236347004877341791175323218589510267360231302329224151122257369650934310998732751101649300558564162598229443207329
  ( 121 digits)
Divisors found:
 r1=303639927086451348390224610638032524907346867513043503 (pp54)
 r2=17833119933549804907843420188189974329012488534323956272603491728943 (pp68)
Version: GGNFS-0.73.4
Total time: 10.14 hours.
Scaled time: 5.51 units (timescale=0.543).
Factorization parameters were as follows:
name: l31105
n: 5414847236347004877341791175323218589510267360231302329224151122257369650934310998732751101649300558564162598229443207329
m: 2000000000000000000000000000
c5: 35
c0: -4
skew: 2
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 1375001)
Relations: rels:1556395, finalFF:161582
Initial matrix: 142758 x 161582 with sparse part having weight 12305044.
Pruned matrix : 136729 x 137506 with weight 9471960.
Total sieving time: 9.43 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.54 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,120,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 10.14 hours.
 --------- CPU info (if available) ----------

Apr 18, 2005 (2nd)

By Makoto Kamada / GMP-ECM 6.0.1

(34·10¹⁹⁶-43)/9 = 3(7)₁₉₅3_<197> = 3 · 3049 · 220117579995449_<15> · 637323208774495304079671_<24> · 6082933562488974875094137_<25> · C130

C130 = P31 · P100

P31 = 2552276206541853986327759972399_<31>

P100 = 1896280242201234033628722747372184139060402766323962383044455211111511783003523558746192840852368767_<100>

Apr 18, 2005

By Makoto Kamada / GMP-ECM 6.0

(7·10¹³⁹+11)/9 = (7)₁₃₈9_<139> = 3 · 1863853 · 258389253051832977220151_<24> · C109

C109 = P33 · P76

P33 = 562114361412450130941091809433237_<33>

P76 = 9576867771658749582260283393987354895106679752346141029415084756744510185063_<76>

Apr 17, 2005 (3rd)

By Wataru Sakai / GMP-ECM 6.0

5·10¹⁹⁶-1 = 4(9)₁₉₆_<197> = 19 · 16981 · 49811 · C187

C187 = P31 · P157

P31 = 1697118101741918215208512034099_<31>

P157 = 1833225185034239750757162601262933487008785125955739998834505594511896594577580588571645784267706977995671427911855205353218635320637341730698774065206061769_<157>

(2·10¹⁸²-17)/3 = (6)₁₈₁1_<182> = 61 · 189223 · 11960953171_<11> · 33408973239869_<14> · C152

C152 = P37 · P115

P37 = 1613519292091473852501969490416428473_<37>

P115 = 8957811125858026536655000383264832960261823118115916421556745877565487984735824857076696886049239183655344215790081_<115>

(2·10¹⁷⁷-17)/3 = (6)₁₇₆1_<177> = 677 · 25349 · 393013 · 79420666569772996063969_<23> · C142

C142 = P34 · C108

P34 = 6533336840575541762728113725218487_<34>

C108 = [190495072891962287155895804522715908321390448636872248627200727429938656098579795909141221381162892357002863_<108>]

(2·10¹⁹¹-17)/3 = (6)₁₉₀1_<191> = 7 · 173 · 971 · 2927 · 14214359 · 100193434669659501271_<21> · C155

C155 = P31 · C124

P31 = 1602281856559924955652817548643_<31>

C124 = [8488230921265467134620967582971657412689920739807610533649781085284411817119276827063771116254725946997294828930840387898689_<124>]

Apr 17, 2005 (2nd)

By Sinkiti Sibata / GGNFS-0.73.4

(28·10¹³³-1)/9 = 3(1)₁₃₃_<134> = 23772479 · C127

C127 = P37

P37 = 4661149798387950069326780910128942201_<37>

P90 = 280768246138105278818027047217392733347706647719771405121039131873453130761157349833137409_<90>

Number: l31103
N=1308702853880367761019417079350921336858100121199438691737244193637151224788593192620387260037588469890376645662873910251897209
  ( 127 digits)
Divisors found:
 r1=4661149798387950069326780910128942201 (pp37)
 r2=280768246138105278818027047217392733347706647719771405121039131873453130761157349833137409 (pp90)
Version: GGNFS-0.73.4
Total time: 8.09 hours.
Scaled time: 4.39 units (timescale=0.542).
Factorization parameters were as follows:
name: 31103
n: 1308702853880367761019417079350921336858100121199438691737244193637151224788593192620387260037588469890376645662873910251897209
m: 200000000000000000000000000
c5: 875
c0: -1
skew: 2
type: snfs

Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 1200001)
Relations: rels:1516145, finalFF:148481
Initial matrix: 127585 x 148481 with sparse part having weight 10773433.
Pruned matrix : 121754 x 122455 with weight 7880271.
Total sieving time: 7.47 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 0.41 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,126,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 8.09 hours.
 --------- CPU info (if available) ----------

(28·10¹³⁴-1)/9 = 3(1)₁₃₄_<135> = 19 · 53 · 277 · 701 · 5796859 · 3611192237_<10> · C110

C110 = P55 · P56

P55 = 1358769123518944026535129296500716906585653961788989197_<55>

P56 = 55937010190050826723396184986190224689858976124054556499_<56>

Number: l31104
N=76005482308205602452735531931054395157508378353020693813520447912062177054280151775139858103097619455337141303
  ( 110 digits)
Divisors found:
 r1=1358769123518944026535129296500716906585653961788989197 (pp55)
 r2=55937010190050826723396184986190224689858976124054556499 (pp56)
Version: GGNFS-0.73.4
Total time: 14.54 hours.
Scaled time: 7.91 units (timescale=0.544).
Factorization parameters were as follows:
name: l31104
n: 76005482308205602452735531931054395157508378353020693813520447912062177054280151775139858103097619455337141303
m: 200000000000000000000000000
c5: 8750
c0: -1
skew: 2
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 1850001)
Relations: rels:1736491, finalFF:153310
Initial matrix: 127961 x 153310 with sparse part having weight 13633840.
Pruned matrix : 121647 x 122350 with weight 10063904.
Total sieving time: 13.84 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.50 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,109,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 14.54 hours.
 --------- CPU info (if available) ----------

Apr 17, 2005

By Patrick De Geest

(29·10²¹¹⁵⁶+7)/9 = 3(2)₂₁₁₅₅3_<21157> is PRP.

(31·10²⁴⁷⁵⁶-13)/9 = 3(4)₂₄₇₅₅3_<24757> is PRP.

Reference: Plateau and Depression Primes (Patrick De Geest)

Apr 16, 2005 (5th)

By Makoto Kamada / GMP-ECM 6.0.1

(10¹⁷²+11)/3 = (3)₁₇₁7_<172> = 31 · 907 · 251233 · 101116567819_<12> · 178602295411801363_<18> · C134

C134 = P31 · C104

P31 = 1622460357508876958070948506561_<31>

C104 = [16104588399797500009149981596611946753705287292116799732924161456380112023893497026169596610428871144901_<104>]

Apr 16, 2005 (4th)

By Sinkiti Sibata / GGNFS-0.73.4

(28·10¹²⁶-1)/9 = 3(1)₁₂₆_<127> = 3 · 29 · 165479 · 3403427 · 905725712473_<12> · C101

C101 = P40 · P61

P40 = 7520548355520711934404450344729246962997_<40>

P61 = 9321605873732438542588728464618640784227803490462063002278561_<61>

Number: l31101
N=70103587724510699817871363877238170923755987842847642523003240015637461078495786280929900500253407317
  ( 101 digits)
Divisors found:
 r1=7520548355520711934404450344729246962997 (pp40)
 r2=9321605873732438542588728464618640784227803490462063002278561 (pp61)
Version: GGNFS-0.73.4
Total time: 3.75 hours.
Scaled time: 2.03 units (timescale=0.543).
Factorization parameters were as follows:
name: l31101
n: 70103587724510699817871363877238170923755987842847642523003240015637461078495786280929900500253407317
m: 20000000000000000000000000
c5: 35
c0: -4
skew: 2
type: snfs

Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 700001)
Relations: rels:2315399, finalFF:181600
Initial matrix: 113358 x 181600 with sparse part having weight 14114309.
Pruned matrix : 97833 x 98463 with weight 6024959.
Total sieving time: 3.40 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.19 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,100,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 3.75 hours.
 --------- CPU info (if available) ----------

(28·10¹²⁸-1)/9 = 3(1)₁₂₈_<129> = 317 · 12990488583482872691_<20> · C107

C107 = P48 · P60

P48 = 520969341590184715621338111312366954921214789141_<48>

P60 = 145016896897054672966641097051971115808459317464238937158493_<60>

Number: l31102
N=75549357295910273871878648645313913785344921136499489785972829004306804898336410837014524942825078692324513
  ( 107 digits)
Divisors found:
 r1=520969341590184715621338111312366954921214789141 (pp48)
 r2=145016896897054672966641097051971115808459317464238937158493 (pp60)
Version: GGNFS-0.73.4
Total time: 4.86 hours.
Scaled time: 2.64 units (timescale=0.544).
Factorization parameters were as follows:
name: l31102
n: 75549357295910273871878648645313913785344921136499489785972829004306804898336410837014524942825078692324513
m: 20000000000000000000000000
c5: 875
c0: -1
skew: 2
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 800001)
Relations: rels:2372245, finalFF:186970
Initial matrix: 112732 x 186970 with sparse part having weight 14950859.
Pruned matrix : 98898 x 99525 with weight 6537837.
Total sieving time: 4.44 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.25 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,106,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 4.86 hours.
 --------- CPU info (if available) ----------

Apr 16, 2005 (3rd)

911...11 and 977...77 were completed up to n=150 and extended to n=200.

Apr 16, 2005 (2nd)

By Greg Childers / GGNFS

(82·10¹⁴⁶-1)/9 = 9(1)₁₄₆_<147> = 29167 · C143

C143 = P48 · P96

P48 = 256855868535299489689781004902527366197548360027_<48>

P96 = 121615824522535959031094007148706082221604936125410700136647160409446581665723413013949212463179_<96>

(82·10¹⁴⁷-1)/9 = 9(1)₁₄₇_<148> = 3 · 59 · 70327 · 12017093324521_<14> · C128

C128 = P36 · P44 · P49

P36 = 952841560493798794357879160246751271_<36>

P44 = 39809166132491420458669804566713138489528623_<44>

P49 = 1605730950807989397645742729921932169993451827313_<49>

(82·10¹⁴⁸-1)/9 = 9(1)₁₄₈_<149> = 337 · 2889673489231_<13> · C134

C134 = P55 · P80

P55 = 4586676192970857715862985285062833916550844750373262691_<55>

P80 = 20398328771410687937802775211497323887334474824869923381694033796464039024158643_<80>

(82·10¹⁵⁰-1)/9 = 9(1)₁₅₀_<151> = 3 · 5412627352781014909039108501_<28> · C123

C123 = P43 · P81

P43 = 2163609970502116918824304258607002124680559_<43>

P81 = 259336106399642668538817434579928633470800806392064834521559081290061609041131543_<81>

(88·10¹⁴⁹-7)/9 = 9(7)₁₄₉_<150> = 1903912517104195651_<19> · 502982737333598378936536819_<27> · C106

C106 = P52 · P54

P52 = 6005269845616733863258911888263192979570858633129223_<52>

P54 = 170022957535447400713949792582710386850995776902047071_<54>

Apr 16, 2005

GGNFS-0.76.5 was released.

GGNFS - A Number Field Sieve implementation (Chris Monico)

Apr 15, 2005 (4th)

By Sinkiti Sibata / GMP-ECM 6.0

(10¹⁵¹+11)/3 = (3)₁₅₀7_<151> = 7 · 7759 · 80330292660589163_<17> · C129

C129 = P38 · P92

P38 = 10723801554098805745714107053103682459_<38>

P92 = 71243760583205050198522427813757437211296665257075117339872264905009317727769788483445283497_<92>

Apr 15, 2005 (3rd)

377...77 was completed up to n=150 and extended to n=200.

Apr 15, 2005 (2nd)

By Sinkiti Sibata / GGNFS-0.73.4

(34·10¹⁴⁹-7)/9 = 3(7)₁₄₉_<150> = 19 · 35082079 · C141

C141 = P55 · P87

P55 = 3293647032815682486587148388647797262718965639969474373_<55>

P87 = 172076050190444398601896668406033887471717160455402774934956173811507864767351555224049_<87>

Number: k37710
N=566757772128399648717598547556788599098788898333890492062429964189765225141960399087879444655575883506576523582967843373037117323720778796277
  ( 141 digits)
Divisors found:
 r1=3293647032815682486587148388647797262718965639969474373 (pp55)
 r2=172076050190444398601896668406033887471717160455402774934956173811507864767351555224049 (pp87)
Version: GGNFS-0.73.4
Total time: 94.02 hours.
Scaled time: 50.96 units (timescale=0.542).
Factorization parameters were as follows:
name: k37710
n: 566757772128399648717598547556788599098788898333890492062429964189765225141960399087879444655575883506576523582967843373037117323720778796277
m: 200000000000000000000000000000
c5: 10625
c0: -7
skew: 2
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [750000, 10350001)
Relations: rels:5993493, finalFF:256893
Initial matrix: 228178 x 256893 with sparse part having weight 29064147.
Pruned matrix : 220882 x 222086 with weight 24663725.
Total sieving time: 89.67 hours.
Total relation processing time: 1.32 hours.
Matrix solve time: 2.89 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,140,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1500000,1500000,27,27,45,45,2.3,2.3,100000
total time: 94.02 hours.
 --------- CPU info (if available) ----------

Apr 15, 2005

By Makoto Kamada / GMP-ECM 6.0

(7·10¹⁴⁵+11)/9 = (7)₁₄₄9_<145> = 3² · 79 · 25710119 · C135

C135 = P31 · P105

P31 = 1146831769715189838505411535693_<31>

P105 = 371007020455420003148942559342227316144526170370008369756227224703491540606184447145949297366752186877967_<105>

Apr 14, 2005

GGNFS-0.76.4 was released.

GGNFS - A Number Field Sieve implementation (Chris Monico)

Apr 13, 2005

GGNFS-0.76.2 was released.

GGNFS - A Number Field Sieve implementation (Chris Monico)

Apr 12, 2005

By Makoto Kamada / GMP-ECM 6.0.1

(2·10¹⁵⁸+61)/9 = (2)₁₅₇9_<158> = 313251391 · C149

C149 = P28 · C122

P28 = 4232920182402397664794465973_<28>

C122 = [16759243026644441033078586970505600643506656647068226063208409915717978347580855310102681555294119635585623336699318238303_<122>]

(7·10¹³⁴+11)/9 = (7)₁₃₃9_<134> = 63928129007_<11> · C124

C124 = P33 · P91

P33 = 147788080974267070211553962198353_<33>

P91 = 8232355693924514800028449738780050176431729843501726515504191351449943108161816869648600749_<91>

Apr 11, 2005 (3rd)

By Makoto Kamada / GMP-ECM 6.0.1, msieve-0.88

(2·10¹⁶⁰+7)/9 = (2)₁₅₉3_<160> = 3 · 13 · 1250062086469161201059_<22> · 48136003548959021271666142271_<29> · C108

C108 = P29 · P31 · P50

P29 = 13371328080552857813032632937_<29>

P31 = 1743770179496369829136972897781_<31>

P50 = 40612289550914884483774941360738576512928880318129_<50>

Apr 11, 2005 (2nd)

By Sinkiti Sibata / GMP-ECM 6.0, PPSIQS 1.1

(10¹⁵²+17)/9 = (1)₁₅₁3_<152> = 13 · 1515011 · 7508749 · 33308141171_<11> · C127

C127 = P37 · P42 · P49

P37 = 2534706018965507093982394669753900787_<37>

P42 = 415362642537025995750962967685934604758743_<42>

P49 = 2142522238665016186174368976894954380965988178469_<49>

Apr 11, 2005

GGNFS-0.76.1 was released.

GGNFS - A Number Field Sieve implementation (Chris Monico)

Apr 9, 2005 (2nd)

By Sinkiti Sibata / GGNFS-0.73.4

(34·10¹⁴⁷-7)/9 = 3(7)₁₄₇_<148> = 3 · C148

C148 = P72 · P76

P72 = 327012654675326019268275586583408201381345039453190255237772871926682059_<72>

P76 = 3850796723782792933681729443926505056131156313920688857053701686018709270801_<76>

Number: k37709
N=1259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259
  ( 148 digits)
Divisors found:
 r1=327012654675326019268275586583408201381345039453190255237772871926682059 (pp72)
 r2=3850796723782792933681729443926505056131156313920688857053701686018709270801 (pp76)
Version: GGNFS-0.73.4
Total time: 51.54 hours.
Scaled time: 27.94 units (timescale=0.542).
Factorization parameters were as follows:
name: k37709
n: 1259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259
m: 200000000000000000000000000000
c5: 425
c0: -28
skew: 2
type: snfs

Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [750000, 5750001)
Relations: rels:4868316, finalFF:263912
Initial matrix: 228399 x 263912 with sparse part having weight 27878886.
Pruned matrix : 218281 x 219486 with weight 22642701.
Total sieving time: 48.49 hours.
Total relation processing time: 0.55 hours.
Matrix solve time: 2.38 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,147,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1500000,1500000,27,27,45,45,2.3,2.3,100000
total time: 51.54 hours.
 --------- CPU info (if available) ----------

Apr 9, 2005

By Makoto Kamada / GMP-ECM 6.0.1

2·10¹⁶⁵-9 = 1(9)₁₆₄1_<166> = 11 · C165

C165 = P30 · C135

P30 = 457527644458064916785243595451_<30>

C135 = [397392778382916963637700048853965083487465415508744847291870178477993817516199866163976430024051422843226002208841256962925794882719231_<135>]

Apr 8, 2005 (3rd)

By Sinkiti Sibata / GMP-ECM 6.0

(10¹⁵¹+17)/9 = (1)₁₅₀3_<151> = 3² · 79 · 89 · 26083 · C141

C141 = P32 · P110

P32 = 29803870477128618189162380635843_<32>

P110 = 22587474457446975266501410996265744822035298132651173697313604316355285782041523563816715393423509403721934063_<110>

Apr 8, 2005 (2nd)

By Wataru Sakai / GMP-ECM 6.0

5·10¹⁶⁴-1 = 4(9)₁₆₄_<165> = 121229 · 93065452014541_<14> · 4609272099677821_<16> · 6199401341721886342501_<22> · C109

C109 = P38 · P71

P38 = 19306339505367483920172035659730245319_<38>

P71 = 80332808754804132639262177760295673590550769997275924317754987315974609_<71>

Apr 8, 2005

GGNFS-0.76.0 was released.

GGNFS - A Number Field Sieve implementation (Chris Monico)

Apr 7, 2005

By Sinkiti Sibata / GGNFS-0.73.4

(34·10¹⁴³-7)/9 = 3(7)₁₄₃_<144> = 59165702911074419059_<20> · C124

C124 = P42 · P83

P42 = 159244166572815896051477353828629242312671_<42>

P83 = 40096165961429717254582279191961125019784398834778977128112269744727054318776155093_<83>

Number: k37708
N=6385080531293184725246874180881169179329606923405731904559778114020793658602082210074589331946277002118973392293088695083403
  ( 124 digits)
Divisors found:
 r1=159244166572815896051477353828629242312671 (pp42)
 r2=40096165961429717254582279191961125019784398834778977128112269744727054318776155093 (pp83)
Version: GGNFS-0.73.4
Total time: 36.40 hours.
Scaled time: 22.39 units (timescale=0.615).
Factorization parameters were as follows:
name: k37708
n: 6385080531293184725246874180881169179329606923405731904559778114020793658602082210074589331946277002118973392293088695083403
m: 20000000000000000000000000000
c5: 2125
c0: -14
skew: 2
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [650000, 4150001)
Relations: rels:4521630, finalFF:232648
Initial matrix: 200370 x 232648 with sparse part having weight 24454403.
Pruned matrix : 191671 x 192736 with weight 19606593.
Total sieving time: 34.17 hours.
Total relation processing time: 0.49 hours.
Matrix solve time: 1.65 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,123,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1300000,1300000,27,27,45,45,2.3,2.3,100000
total time: 36.40 hours.
 --------- CPU info (if available) ----------

Apr 6, 2005

By Makoto Kamada / GGNFS-0.75.1-k1 snfs

(7·10¹⁴⁷-61)/9 = (7)₁₄₆1_<147> = 3 · 29 · 251 · C143

C143 = P51 · P93

P51 = 164143469097741219899427439827718078536660912420547_<51>

P93 = 216989614708270393854627090356885160514878009677626283888296245187620137076930355515057048989_<93>

s147-77771_147.txt

Number: 77771_147 N=35617428116397755084387863615779538296367531152529091806465072023527855372889031358601354479909226440343352007042074359013499005256114749176983 ( 143 digits) SNFS difficulty: 147 digits. Divisors found: r1=164143469097741219899427439827718078536660912420547 (pp51) r2=216989614708270393854627090356885160514878009677626283888296245187620137076930355515057048989 (pp93) Version: GGNFS-0.75.1-k1 Total time: 30.83 hours. Scaled time: 26.64 units (timescale=0.864). Factorization parameters were as follows: n: 35617428116397755084387863615779538296367531152529091806465072023527855372889031358601354479909226440343352007042074359013499005256114749176983 m: 100000000000000000000000000000 c5: 700 c0: -61 skew: 1 type: snfs qintsize: 250000 Factor base limits: 1500000/1500000 Large primes per side: 3 Large prime bits: 27/27 Sieved special-q in [750000, 4500001) Relations: rels:4288774, finalFF:281942 Initial matrix: 228155 x 281942 with sparse part having weight 35308369. Pruned matrix : 222585 x 223789 with weight 24013743. Total sieving time: 27.80 hours. Total relation processing time: 0.26 hours. Matrix solve time: 2.71 hours. Time per square root: 0.06 hours. Prototype def-par.txt line would be: snfs,147,5,0,0,0,0,0,0,0,0,1500000,1500000,27,27,45,45,2.3,2.3,100000 total time: 30.83 hours. --------- CPU info (if available) ----------

Apr 5, 2005 (4th)

By Sinkiti Sibata / GGNFS-0.73.4

(34·10¹⁴²-7)/9 = 3(7)₁₄₂_<143> = 29 · 37 · 229 · C138

C138 = P53 · P86

P53 = 14359847055306894628236115991384290464706818549676499_<53>

P86 = 10706595347914863980197586178161311155206785845141994603940071533028476646490154744319_<86>

Number: k37707
N=153745071679117756515738747330375097277672191088845207200876527785125887821265023493603526731067764044725345734229938416054964767508059181
  ( 138 digits)
Divisors found:
 r1=14359847055306894628236115991384290464706818549676499 (pp53)
 r2=10706595347914863980197586178161311155206785845141994603940071533028476646490154744319 (pp86)
Version: GGNFS-0.73.4
Total time: 62.53 hours.
Scaled time: 38.46 units (timescale=0.615).
Factorization parameters were as follows:
name: k37707
n: 153745071679117756515738747330375097277672191088845207200876527785125887821265023493603526731067764044725345734229938416054964767508059181
m: 10000000000000000000000000000
c5: 3400
c0: -7
skew: 2
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 7750001)
Relations: rels:2672533, finalFF:161275
Initial matrix: 142538 x 161275 with sparse part having weight 18025470.
Pruned matrix : 138998 x 139774 with weight 15129565.
Total sieving time: 60.97 hours.
Total relation processing time: 0.69 hours.
Matrix solve time: 0.80 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,137,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 62.53 hours.
 --------- CPU info (if available) ----------

Apr 5, 2005 (3rd)

233...33 was completed up to n=150 and extended to n=200.

Apr 5, 2005 (2nd)

By Greg Childers / GGNFS-0.75.0

(7·10¹⁴⁷-1)/3 = 2(3)₁₄₇_<148> = C148

C148 = P56 · P92

P56 = 28458944035129454224022728328272152725290672968984471787_<56>

P92 = 81989455773660768996909420134706563661827379229969311238800763807353709534972150609953581759_<92>

(7·10¹⁴⁸-1)/3 = 2(3)₁₄₈_<149> = 29 · 31 · 809 · 45140445207748352001824727713_<29> · C114

C114 = P54 · P60

P54 = 817644335758148384535575590255748135828921520452285417_<54>

P60 = 869237194338519720111226834134978288535812860389358841778103_<60>

(88·10¹²⁷-7)/9 = 9(7)₁₂₇_<128> = 347 · 185420141 · 138469771313_<12> · C107

C107 = P53 · P54

P53 = 13498947077865242226948015838028450436333381510368533_<53>

P54 = 813015660697588603553863210468536387553856397688001219_<54>

(88·10¹³⁸-7)/9 = 9(7)₁₃₈_<139> = 3 · 46819 · C134

C134 = P45 · P89

P45 = 713738208355645453671851827758720998024100113_<45>

P89 = 97534402591107911970674333743579554863915732839365926889674646506079851580268339208584697_<89>

(88·10¹⁴¹-7)/9 = 9(7)₁₄₁_<142> = 3 · 191 · 845333 · C134

C134 = P61 · P73

P61 = 9483006193734226844470718303864368355471811701328266889128419_<61>

P73 = 2128686389190388529781770732257922945533944952541681831622911093447807387_<73>

(88·10¹⁴³-7)/9 = 9(7)₁₄₃_<144> = 115571 · C139

C139 = P39 · P45 · P56

P39 = 289536592037739295831034563283067410861_<39>

P45 = 598059070112031117900424085841160010378066699_<45>

P56 = 48858907533586509207818886451482221647331921061978842533_<56>

(88·10¹⁴⁴-7)/9 = 9(7)₁₄₄_<145> = 3² · 73327 · 815776279 · 9503585541912882335101_<22> · C109

C109 = P34 · P34 · P42

P34 = 2179008900312918804766239563872103_<34>

P34 = 2978966730955436078511712112508319_<34>

P42 = 294408617473694153979876024492032061789613_<42>

(88·10¹⁵⁰-7)/9 = 9(7)₁₅₀_<151> = 3 · C151

C151 = P57 · P94

P57 = 859443018051308055545312681587505059665585398355387847247_<57>

P94 = 3792292439176792647055871559862976030480522056174542726734072952714772619976593056365557982997_<94>

(82·10¹⁴⁴-1)/9 = 9(1)₁₄₄_<145> = 3² · 279481 · C139

C139 = P64 · P75

P64 = 8185374386700748505668411747862045256926012159107274276211242807_<64>

P75 = 442525189583899450729889623986038261955874618015309210081082001051365095537_<75>

(82·10¹⁴⁵-1)/9 = 9(1)₁₄₅_<146> = 7 · 13 · 8297 · 418207 · 1764817471_<10> · C126

C126 = P33 · P93

P33 = 320578063016860293781306745156863_<33>

P93 = 510016196052800016592470749099662333976337197334384214564140275903454870781381496333154078563_<93>

Apr 5, 2005

By Wataru Sakai / GMP-ECM 6.0

(2·10¹⁹²-17)/3 = (6)₁₉₁1_<192> = 29 · 33713 · 138027587 · 2706486997751734917867297649427_<31> · C148

C148 = P25 · P123

P25 = 4414624011426525952276313_<25>

P123 = 413473595475902297719640502558834922508384255226805169864486254907021551818285852797600411220905342323406422860021450618089_<123>

5·10¹⁷⁵-1 = 4(9)₁₇₅_<176> = 7 · 107183 · 2543334728950591_<16> · 1003880437516672343_<19> · C137

C137 = P34 · P103

P34 = 6033965706180633947575226973035593_<34>

P103 = 4325713036344580776461295797750335517660863417205395531955960411517789548035861791579322805691565162231_<103>

Apr 4, 2005

By Makoto Kamada / GGNFS-0.75.1-k1 snfs

(7·10¹⁴⁶-61)/9 = (7)₁₄₅1_<146> = 23 · 113 · 199 · 5237 · 621489161 · 2280774894149_<13> · C116

C116 = P41 · P75

P41 = 20325876030257371373563557228852351708731_<41>

P75 = 996663022677478993746625094222711091564152493773448968407232296140884442737_<75>

s146-77771_146.txt

Number: 77771_146 N=20258049042884029230949556452016850802407525897359349522412556357438571335024311398757927184992319924912496672436747 ( 116 digits) SNFS difficulty: 146 digits. Divisors found: r1=20325876030257371373563557228852351708731 (pp41) r2=996663022677478993746625094222711091564152493773448968407232296140884442737 (pp75) Version: GGNFS-0.75.1-k1 Total time: 25.63 hours. Scaled time: 22.11 units (timescale=0.863). Factorization parameters were as follows: n: 20258049042884029230949556452016850802407525897359349522412556357438571335024311398757927184992319924912496672436747 m: 100000000000000000000000000000 c5: 70 c0: -61 skew: 1 type: snfs qintsize: 200000 Factor base limits: 1500000/1500000 Large primes per side: 3 Large prime bits: 27/27 Sieved special-q in [750000, 3750001) Relations: rels:4080598, finalFF:295449 Initial matrix: 228065 x 295449 with sparse part having weight 35399275. Pruned matrix : 220477 x 221681 with weight 21711427. Total sieving time: 22.70 hours. Total relation processing time: 0.20 hours. Matrix solve time: 2.67 hours. Time per square root: 0.06 hours. Prototype def-par.txt line would be: snfs,146,5,0,0,0,0,0,0,0,0,1500000,1500000,27,27,45,45,2.3,2.3,100000 total time: 25.63 hours. --------- CPU info (if available) ----------

Apr 3, 2005 (2nd)

By Makoto Kamada / GMP-ECM 6.0

(19·10¹⁶⁹-1)/9 = 2(1)₁₆₉_<170> = 3⁴ · 7 · 31 · 491 · 462439477 · C154

C154 = P35 · P120

P35 = 16949051215800180229661817614330899_<35>

P120 = 312093377566977513799943865389981923191207592549396338466569241130995579041731748939733425239643489999444690210752448451_<120>

Apr 3, 2005

By Makoto Kamada / GGNFS-0.75.1-k1 snfs

(7·10¹³⁹-61)/9 = (7)₁₃₈1_<139> = 3864257844679_<13> · 749376390265801_<15> · C112

C112 = P51 · P62

P51 = 170840785058749549104633136678380876513295663636919_<51>

P62 = 15721640771017388913561704531861725729151017011018664159701971_<62>

s140-77771_139.txt

Number: 77771_139 N=2685897451732255277125467205592932618968525456769495863925138728646501233644812289599723114776153644784992667349 ( 112 digits) SNFS difficulty: 140 digits. Divisors found: r1=170840785058749549104633136678380876513295663636919 (pp51) r2=15721640771017388913561704531861725729151017011018664159701971 (pp62) Version: GGNFS-0.75.1-k1 Total time: 12.94 hours. Scaled time: 11.15 units (timescale=0.862). Factorization parameters were as follows: n: 2685897451732255277125467205592932618968525456769495863925138728646501233644812289599723114776153644784992667349 m: 10000000000000000000000000000 c5: 7 c0: -610 skew: 3 type: snfs qintsize: 150000 Factor base limits: 1300000/1300000 Large primes per side: 3 Large prime bits: 27/27 Sieved special-q in [650000, 2150001) Relations: rels:3671627, finalFF:276525 Initial matrix: 199735 x 276525 with sparse part having weight 28974463. Pruned matrix : 190528 x 191590 with weight 14852308. Total sieving time: 11.38 hours. Total relation processing time: 0.12 hours. Matrix solve time: 1.39 hours. Time per square root: 0.05 hours. Prototype def-par.txt line would be: snfs,140,5,0,0,0,0,0,0,0,0,1300000,1300000,27,27,45,45,2.3,2.3,100000 total time: 12.94 hours. --------- CPU info (if available) ----------

Apr 2, 2005

By Sinkiti Sibata / GGNFS-0.73.4

(34·10¹⁴⁰-7)/9 = 3(7)₁₄₀_<141> = 13 · 97 · 562239135823966193_<18> · C120

C120 = P35 · P48

P35 = 18962580531105013819925621310959029_<35>

P39 = 216439675119138501398935998919981981627_<39>

P48 = 129827273679564308618923921107307266973286728003_<48>

Number: k37706
N=532844207219994142957032514026104279547614121128261663265980748126772647475705934663003458700217660541924962494434504549
  ( 120 digits)
Divisors found:
 r1=18962580531105013819925621310959029 (pp35)
 r2=216439675119138501398935998919981981627 (pp39)
 r3=129827273679564308618923921107307266973286728003 (pp48)
Version: GGNFS-0.73.4
Total time: 19.92 hours.
Scaled time: 12.25 units (timescale=0.615).
Factorization parameters were as follows:
name: k37706
n: 532844207219994142957032514026104279547614121128261663265980748126772647475705934663003458700217660541924962494434504549
m: 10000000000000000000000000000
c5: 34
c0: -7
skew: 2
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 2500001)
Relations: rels:1816338, finalFF:163959
Initial matrix: 142817 x 163959 with sparse part having weight 15584919.
Pruned matrix : 137501 x 138279 with weight 12386412.
Total sieving time: 19.07 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 0.63 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,119,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 19.92 hours.
 --------- CPU info (if available) ----------

Apr 1, 2005 (5th)

By Sinkiti Sibata / GGNFS-0.73.4

(34·10¹³⁸-7)/9 = 3(7)₁₃₈_<139> = 3 · 3457 · 31039 · C131

C131 = P62 · P69

P62 = 34188634798268298978819751215034923852302976766581742398955861_<62>

P69 = 343262446363562764106521714489463642426853332311728668507785751855153_<69>

Number: k37705
N=11735674418684007440015807180268123303545917008877465756189988116597602067387608682652663405907458433947196398138168251430912401733
  ( 131 digits)
Divisors found:
 r1=34188634798268298978819751215034923852302976766581742398955861 (pp62)
 r2=343262446363562764106521714489463642426853332311728668507785751855153 (pp69)
Version: GGNFS-0.73.4
Total time: 46.43 hours.
Scaled time: 25.12 units (timescale=0.541).
Factorization parameters were as follows:
name: k37705
n: 11735674418684007440015807180268123303545917008877465756189988116597602067387608682652663405907458433947196398138168251430912401733
m: 1000000000000000000000000000
c5: 34000
c0: -7
skew: 2
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 4600001)
Relations: rels:2216647, finalFF:160415
Initial matrix: 142643 x 160415 with sparse part having weight 16934844.
Pruned matrix : 138753 x 139530 with weight 14166315.
Total sieving time: 45.25 hours.
Total relation processing time: 0.32 hours.
Matrix solve time: 0.78 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,130,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 46.43 hours.
 --------- CPU info (if available) ----------

Apr 1, 2005 (4th)

GMP-ECM 6.0.1 was released.

GMP-ECM 6.0.1

Apr 1, 2005 (3rd)

By Makoto Kamada / GMP-ECM 6.0

(7·10¹⁴⁵-61)/9 = (7)₁₄₄1_<145> = 197 · 1531 · 18371 · C136

C136 = P32 · P105

P32 = 10838030787022134638885989676087_<32>

P105 = 129518240582805888348222213788728966420173100527061566429014083712011605010261544397093371227658124585689_<105>

Apr 1, 2005 (2nd)

44...443 was completed up to n=150 and extended to n=200.

Apr 1, 2005

By Makoto Kamada / GGNFS-0.75.1-k1 snfs

(4·10¹⁵⁰-13)/9 = (4)₁₄₉3_<150> = 23² · 469613 · 1654160484615121055311223_<25> · C118

C118 = P36 · P82

P36 = 160956564196782505393447069889174357_<36>

P82 = 6719475336362747697669359403462336930338593725470007060387269579864469676910654269_<82>

s150-44443_150.txt

Number: 44443_150 N=1081543663345967318634707860577244024898444228177878556278649605246539596361462221465038535524287714123416317087380033 ( 118 digits) SNFS difficulty: 150 digits. Divisors found: r1=160956564196782505393447069889174357 (pp36) r2=6719475336362747697669359403462336930338593725470007060387269579864469676910654269 (pp82) Version: GGNFS-0.75.1-k1 Total time: 30.90 hours. Scaled time: 26.64 units (timescale=0.862). Factorization parameters were as follows: n: 1081543663345967318634707860577244024898444228177878556278649605246539596361462221465038535524287714123416317087380033 m: 1000000000000000000000000000000 c5: 4 c0: -13 skew: 2 type: snfs qintsize: 250000 Factor base limits: 1500000/1500000 Large primes per side: 3 Large prime bits: 27/27 Sieved special-q in [750000, 2000001) Relations: rels:3608042, finalFF:276185 Initial matrix: 228226 x 276185 with sparse part having weight 27038619. Pruned matrix : 222772 x 223977 with weight 17371105. Total sieving time: 28.80 hours. Total relation processing time: 0.11 hours. Matrix solve time: 1.95 hours. Time per square root: 0.05 hours. Prototype def-par.txt line would be: snfs,150,5,0,0,0,0,0,0,0,0,1500000,1500000,27,27,45,45,2.3,2.3,100000 total time: 30.90 hours. --------- CPU info (if available) ----------

March 2005

Mar 31, 2005

By Sinkiti Sibata / GGNFS-0.73.4

(34·10¹³⁰-7)/9 = 3(7)₁₃₀_<131> = 37 · 134369 · C124

C124 = P62 · P63

P62 = 29282281975782325625025484705781263001526136553010439375569503_<62>

P63 = 259496007332122832662642098333347804169554152578166104389773603_<63>

Number: k37704
N=7598635258288898637490946728940611458156427606226294911929247229800184722823129003125877404914980546264547782755107361229309
  ( 124 digits)
Divisors found:
 r1=29282281975782325625025484705781263001526136553010439375569503 (pp62)
 r2=259496007332122832662642098333347804169554152578166104389773603 (pp63)
Version: GGNFS-0.73.4
Total time: 6.20 hours.
Scaled time: 3.37 units (timescale=0.543).
Factorization parameters were as follows:
name: k37704
n: 7598635258288898637490946728940611458156427606226294911929247229800184722823129003125877404914980546264547782755107361229309
m: 100000000000000000000000000
c5: 34
c0: -7
skew: 2
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 1000001)
Relations: rels:1496884, finalFF:165078
Initial matrix: 128270 x 165078 with sparse part having weight 10911848.
Pruned matrix : 116934 x 117639 with weight 6501377.
Total sieving time: 5.75 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.32 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,123,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 6.20 hours.
 --------- CPU info (if available) ----------

Mar 30, 2005 (3rd)

By Sinkiti Sibata / GGNFS-0.73.4

(34·10¹²⁷-7)/9 = 3(7)₁₂₇_<128> = 37 · 15053 · 1472927723_<10> · C113

C113 = P42 · P72

P42 = 155230062976281483061447737084209068757771_<42>

P72 = 296656830115061332962965326191267436484994284706036003057773121981169529_<72>

Number: k37702
N=46050058421105007914683780970706404687135353954431491157579311435258890966014672359617164000982269003881787159859
  ( 113 digits)
Divisors found:
 r1=155230062976281483061447737084209068757771 (pp42)
 r2=296656830115061332962965326191267436484994284706036003057773121981169529 (pp72)
Version: GGNFS-0.73.4
Total time: 7.18 hours.
Scaled time: 4.36 units (timescale=0.607).
Factorization parameters were as follows:
name: k37702
n: 46050058421105007914683780970706404687135353954431491157579311435258890966014672359617164000982269003881787159859
m: 10000000000000000000000000
c5: 3400
c0: -7
skew: 2
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 950001)
Relations: rels:2520963, finalFF:150051
Initial matrix: 113138 x 150051 with sparse part having weight 12927902.
Pruned matrix : 106100 x 106729 with weight 8134323.
Total sieving time: 6.68 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.31 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,112,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 7.18 hours.
 --------- CPU info (if available) ----------

(34·10¹²⁸-7)/9 = 3(7)₁₂₈_<129> = 13 · 23 · 130648656195487_<15> · C112

C112 = P40 · P73

P40 = 1351638709342011447031387091550070455827_<40>

P73 = 7154835468203482086508784589589905891464319218111039317813430171627140127_<73>

Number: k37703
N=9670752577797000708465124794544037740395268848392403581965949987066731139637396267576393089685276368943292670029
  ( 112 digits)
Divisors found:
 r1=1351638709342011447031387091550070455827 (pp40)
 r2=7154835468203482086508784589589905891464319218111039317813430171627140127 (pp73)
Version: GGNFS-0.73.4
Total time: 12.19 hours.
Scaled time: 7.50 units (timescale=0.615).
Factorization parameters were as follows:
name: k37703
n: 9670752577797000708465124794544037740395268848392403581965949987066731139637396267576393089685276368943292670029
m: 10000000000000000000000000
c5: 34000
c0: -7
skew: 2
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 1150001)
Relations: rels:2732752, finalFF:150939
Initial matrix: 113243 x 150939 with sparse part having weight 14008634.
Pruned matrix : 106122 x 106752 with weight 9017845.
Total sieving time: 11.61 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 0.36 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,111,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 12.19 hours.
 --------- CPU info (if available) ----------

Mar 30, 2005 (2nd)

By Makoto Kamada / GGNFS-0.75.0-k1 snfs

(4·10¹⁴⁹-13)/9 = (4)₁₄₈3_<149> = 7 · 43 · 372131 · C141

C141 = P36 · P45 · P60

P36 = 979514585338706397525235121746342051_<36>

P45 = 853150389760184561740165197965302990373996309_<45>

P60 = 474808664563906251379070302619525042466964764352969325785267_<60>

s150-44443_149.txt

Number: 44443_149 N=396784899966543990000845935487106172623082053513310123182378095361039039349871750539857351205917942825357212376337236906155090942856041580653 ( 141 digits) SNFS difficulty: 150 digits. Divisors found: r1=979514585338706397525235121746342051 (pp36) r2=853150389760184561740165197965302990373996309 (pp45) r3=474808664563906251379070302619525042466964764352969325785267 (pp60) Version: GGNFS-0.75.0 Total time: 31.45 hours. Scaled time: 27.18 units (timescale=0.864). Factorization parameters were as follows: n: 396784899966543990000845935487106172623082053513310123182378095361039039349871750539857351205917942825357212376337236906155090942856041580653 m: 1000000000000000000000000000000 c5: 2 c0: -65 skew: 2 type: snfs Factor base limits: 1500000/1500000 Large primes per side: 3 Large prime bits: 27/27 Sieved special-q in [750000, 4550001) Relations: rels:4206882, finalFF:260711 Initial matrix: 228212 x 260711 with sparse part having weight 33035881. Pruned matrix : 224809 x 226014 with weight 25854559. Total sieving time: 28.13 hours. Total relation processing time: 0.28 hours. Matrix solve time: 2.98 hours. Time per square root: 0.06 hours. Prototype def-par.txt line would be: snfs,150,5,0,0,0,0,0,0,0,0,1500000,1500000,27,27,45,45,2.3,2.3,100000 total time: 31.45 hours. --------- CPU info (if available) ----------

Mar 30, 2005

By Makoto Kamada / GMP-ECM 6.0

(8·10¹⁶⁸-71)/9 = (8)₁₆₇1_<168> = 7 · 83 · 173 · 180380873 · C155

C155 = P31 · C125

P31 = 1899953897191177928067350987423_<31>

C125 = [25804276969237260916253285418344233476581942122469731457748077108761430322204665370889961476489935277885313096413193234028503_<125>]

(8·10¹⁹⁶-71)/9 = (8)₁₉₅1_<196> = 146173 · 887091481901_<12> · C179

C179 = P30 · C150

P30 = 415328389201262395447146843143_<30>

C150 = [165051809676489778799232533609995191951694867758348728757315986368857894589713570411597574902801792062426550640905856899068949991115036314093560068479_<150>]

Mar 29, 2005 (4th)

By Sinkiti Sibata / GGNFS-0.73.4

(34·10¹²³-7)/9 = 3(7)₁₂₃_<124> = 3³ · 43 · 2381 · 65654233 · C110

C110 = P51 · P59

P51 = 228073241366731703465850949866083124754565406552647_<51>

P59 = 91265728672744333937608545918328332165031571507727702180547_<59>

Number: k37701
N=20815270564089464749744358517848507682086141505941880045943121342362963563516692278527546421170723784054757909
  ( 110 digits)
Divisors found:
 r1=228073241366731703465850949866083124754565406552647 (pp51)
 r2=91265728672744333937608545918328332165031571507727702180547 (pp59)
Version: GGNFS-0.73.4
Total time: 7.12 hours.
Scaled time: 3.87 units (timescale=0.543).
Factorization parameters were as follows:
name: k37701
n: 20815270564089464749744358517848507682086141505941880045943121342362963563516692278527546421170723784054757909
m: 1000000000000000000000000
c5: 34000
c0: -7
skew: 2
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 800001)
Relations: rels:2370750, finalFF:164981
Initial matrix: 113243 x 164981 with sparse part having weight 13017125.
Pruned matrix : 103068 x 103698 with weight 6770652.
Total sieving time: 6.66 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.28 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,109,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 7.12 hours.
 --------- CPU info (if available) ----------

Mar 29, 2005 (3rd)

By Greg Childers / GGNFS

(7·10¹³⁴-1)/3 = 2(3)₁₃₄_<135> = 2687 · 26833 · 79997 · C122

C122 = P39 · P83

P39 = 771549077712514232402170980951694608989_<39>

P83 = 52432749379921308888652713286289616095590543816434038850924585063069017189083721731_<83>

(7·10¹⁴⁰-1)/3 = 2(3)₁₄₀_<141> = 139790505520027121_<18> · C122

C124 = P53 · P71

P53 = 17514404708105602775785958293570049261299584117978797_<53>

P71 = 95302376184039582842790056551002438240365023859450505185427374272245209_<71>

(7·10¹⁴¹-1)/3 = 2(3)₁₄₁_<142> = 64007627 · 70772707 · C126

C126 = P55 · P72

P55 = 1221723159478576199812390505264940726610470862664612767_<55>

P72 = 421605671802088627262999790532109985612856263571920813026711010506814091_<72>

(7·10¹⁴⁶-1)/3 = 2(3)₁₄₆_<147> = 47 · 726659 · 52112059 · 3317865151_<10> · 137793451812881_<15> · C108

C108 = P44 · P64

P44 = 55035945498874811477334913528070841930020281_<44>

P64 = 5210462746755513930039422413966535472645954889567861158427029229_<64>

Mar 29, 2005 (2nd)

By Makoto Kamada / GMP-ECM 6.0

(71·10¹⁷⁷-17)/9 = 7(8)₁₇₆7_<178> = 3² · 11 · 19 · 461 · 53003 · C168

C168 = P30 · P138

P30 = 293732138416785503474953843403_<30>

P138 = 584351549121526817472239008645961640671838483416139585509952536730167633447579656425400241150635003290073163563155453362820726497771397923_<138>

(32·10¹⁵³-23)/9 = 3(5)₁₅₂3_<154> = 11 · 52639 · 41062810549_<11> · C138

C138 = P29 · P109

P29 = 22164315884002962063948498389_<29>

P109 = 6746898101033529172667760478686470738160556990038859898121845635069951614645073480019101582032109179189662437_<109>

Mar 29, 2005

GGNFS-0.75.1 was released.

GGNFS - A Number Field Sieve implementation (Chris Monico)

Mar 28, 2005 (4th)

88...881 was completed up to n=150 and extended to n=200.

Mar 28, 2005 (3rd)

By Sinkiti Sibata / GGNFS-0.73.4

(8·10¹⁴⁷-71)/9 = (8)₁₄₆1_<147> = 28879 · C143

C143 = P51 · P93

P51 = 294504784002895550590988602520201224751949031176319_<51>

P93 = 104513639818877686348191140169016064234268586680938648198689183872661179840736203367068100481_<93>

Number: j88106
N=30779766920214996671937701751753484846735998091654450946670206339862491391283939502368118317424041306447206928525533740395750853176664319709439
  ( 143 digits)
Divisors found:
 r1=294504784002895550590988602520201224751949031176319 (pp51)
 r2=104513639818877686348191140169016064234268586680938648198689183872661179840736203367068100481 (pp93)
Version: GGNFS-0.73.4
Total time: 37.76 hours.
Scaled time: 23.26 units (timescale=0.616).
Factorization parameters were as follows:
name: j88106
n: 30779766920214996671937701751753484846735998091654450946670206339862491391283939502368118317424041306447206928525533740395750853176664319709439
m: 200000000000000000000000000000
c5: 25
c0: -71
skew: 2
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [750000, 4250001)
Relations: rels:4358154, finalFF:258915
Initial matrix: 228627 x 258915 with sparse part having weight 25726228.
Pruned matrix : 219647 x 220854 with weight 21147722.
Total sieving time: 35.09 hours.
Total relation processing time: 0.46 hours.
Matrix solve time: 2.11 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,142,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1500000,1500000,27,27,45,45,2.3,2.3,100000
total time: 37.76 hours.
 --------- CPU info (if available) ----------

Mar 28, 2005 (2nd)

By Makoto Kamada / GGNFS-0.75.0 snfs

(4·10¹⁴⁷-13)/9 = (4)₁₄₆3_<147> = 59 · 283447 · C140

C140 = P43 · P97

P43 = 5501922485469216369471738261138543131046953_<43>

P97 = 4830355981053067114086117821406228225197620096371111351794639417630449363038228404212209356373647_<97>

s147-44443_147.txt

Number: 44443_147 N=26576244184976586029890288546721073819524592583352918364282399516200735607849232594671209237780227974610411694126803512930342727178568847591 ( 140 digits) SNFS difficulty: 147 digits. Divisors found: r1=5501922485469216369471738261138543131046953 (pp43) r2=4830355981053067114086117821406228225197620096371111351794639417630449363038228404212209356373647 (pp97) Version: GGNFS-0.75.0 Total time: 22.58 hours. Scaled time: 19.48 units (timescale=0.863). Factorization parameters were as follows: n: 26576244184976586029890288546721073819524592583352918364282399516200735607849232594671209237780227974610411694126803512930342727178568847591 m: 200000000000000000000000000000 c5: 25 c0: -26 skew: 1 type: snfs Factor base limits: 1500000/1500000 Large primes per side: 3 Large prime bits: 27/27 Sieved special-q in [750000, 3350001) Relations: rels:3865992, finalFF:265834 Initial matrix: 228796 x 265834 with sparse part having weight 29735166. Pruned matrix : 224571 x 225778 with weight 21964587. Total sieving time: 19.77 hours. Total relation processing time: 0.19 hours. Matrix solve time: 2.57 hours. Time per square root: 0.05 hours. Prototype def-par.txt line would be: snfs,147,5,0,0,0,0,0,0,0,0,1500000,1500000,27,27,45,45,2.3,2.3,100000 total time: 22.58 hours. --------- CPU info (if available) ----------

Mar 28, 2005

By Wataru Sakai / GMP-ECM 6.0 B1=10000000, sigma=247942321

5·10²⁰⁰-1 = 4(9)₂₀₀_<201> = 31 · 109 · 27509 · C193

C193 = P29 · P165

P29 = 25738900941728998684305569489_<29>

P165 = 208985912004232692112989418962913512143454946422920593821299571281505741429255867900662632079343171630051175697271076302567705286976144762874932292328157121848234881_<165>

By Wataru Sakai / GMP-ECM 6.0 B1=10000000, sigma=360834158

(2·10¹⁵¹-17)/3 = (6)₁₅₀1_<151> = 32116457 · 1389926233443061817127901_<25> · C120

C120 = P28 · P92

P28 = 2494684960932509871857956307_<28>

P92 = 59865091562028169565031261511383796403314949997486501394077091779336886690231729006236862939_<92>

Mar 27, 2005 (3rd)

By Makoto Kamada / GMP-ECM 6.0 B1=4000000, sigma=3637654551

(64·10¹⁹¹-1)/9 = 7(1)₁₉₁_<192> = 3² · 177347 · C186

C186 = P35 · P151

P35 = 72046914050576330479643982087846133_<35>

P151 = 6183804131927397511930508866128333307540132161954050966245127136138008723056339521492747866889224629953352821547764396211733654423079530924501517525329_<151>

By Makoto Kamada / GMP-ECM 6.0 B1=4000000, sigma=1591699330

(19·10¹⁹⁹-1)/9 = 2(1)₁₉₉_<200> = 3 · 7 · 31 · 661 · 16475500550693_<14> · C181

C181 = P29 · P153

P29 = 12039737753351859168073867937_<29>

P153 = 247327836283486034200948168590448445309507634613457627140571268083563989326717381589497786656561227759235505596834759223622464821469585496252648088182061_<153>

By Makoto Kamada / GMP-ECM 6.0 B1=4000000, sigma=702755417

(65·10¹⁵⁹+43)/9 = 7(2)₁₅₈7_<160> = 3 · 11 · 59 · 71 · 2041783 · 44769887 · 3172010403949_<13> · 8036583893106069853_<19> · C110

C110 = P28 · P83

P28 = 1882939818768717369123334213_<28>

P83 = 11907166867044885474419358746175080272831949023533081185481895879812180422202279491_<83>

Mar 27, 2005 (2nd)

By Anton Korobeynikov / GGNFS-0.73.5 gnfs

(2·10¹⁵³-17)/3 = (6)₁₅₂1_<153> = 19 · 2562406584306500032738099_<25> · 21744462903561138061102444087_<29> · C99

C99 = P36 · P64

P36 = 196879792980124329914606363973434593_<36>

P64 = 3198580383567896453487106481733744552285092723209800248955519691_<64>

g99-tst99.txt

Number: tst99 N=629735843747134126762568310712908910136499614730681935545380686559833506626358311313708818512070763 ( 99 digits) Divisors found: r1=196879792980124329914606363973434593 (pp36) r2=3198580383567896453487106481733744552285092723209800248955519691 (pp64) Version: GGNFS-0.73.5 Total time: 17.84 hours. Scaled time: 15.84 units (timescale=0.888). Factorization parameters were as follows: name: tst99 n: 629735843747134126762568310712908910136499614730681935545380686559833506626358311313708818512070763 skew: 16216.35 # norm 1.15e+014 c5: 10080 c4: -248398522 c3: -4901947519221 c2: -8022794866306394 c1: 350693211992065568104 c0: 3796920197908224908827328 # alpha -6.53 Y1: 3751924391 Y0: -9102076024180856565 # Murphy_E 3.75e-009 # M 360932417785123444868804360714997047633593077533838732169063423574667008973350870363596462972253366 type: gnfs rlim: 1800000 alim: 1800000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 1800000/1800000 Large primes per side: 3 Large prime bits: 26/26 Sieved special-q in [900000, 1400001) Relations: rels:4216985, finalFF:524203 Initial matrix: 270828 x 524203 with sparse part having weight 38546764. Pruned matrix : 141608 x 143026 with weight 12773345. Polynomial selection time: 0.50 hours. Total sieving time: 15.76 hours. Total relation processing time: 0.25 hours. Matrix solve time: 1.06 hours. Time per square root: 0.26 hours. Prototype def-par.txt line would be: gnfs,98,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000 total time: 17.84 hours. --------- CPU info (if available) ----------

(37·10¹⁷⁵-1)/9 = 4(1)₁₇₅_<176> = 83 · 1728061 · 62255623 · 310249913 · 660582397 · 2077289197_<10> · 1228781294399_<13> · 2195051142251402339_<19> · C103

C103 = P44 · P59

P44 = 47350084968354044128549604953354834484194723_<44>

P59 = 84677464392407571600299536746474616562054270128237104881489_<59>

g103-tst103_1.txt

Number: tst103 N=4009485133885272568449326941572031804041523023658934108627940219130420532029601352997474744240514182547 ( 103 digits) Divisors found: r1=47350084968354044128549604953354834484194723 (pp44) r2=84677464392407571600299536746474616562054270128237104881489 (pp59) Version: GGNFS-0.73.5 Total time: 22.25 hours. Scaled time: 17.83 units (timescale=0.801). Factorization parameters were as follows: name: tst103 n: 4009485133885272568449326941572031804041523023658934108627940219130420532029601352997474744240514182547 skew: 6962.79 # norm 4.35e+013 c5: 7560 c4: 574184271 c3: -1458546135766 c2: -29779226272023918 c1: -49222758729418854270 c0: 551322344939552126728 # alpha -4.34 Y1: 41651533319 Y0: -55578704402246428905 # Murphy_E 2.30e-009 # M 2114887368484452127633399150314269397299173221343334090029772518405182048409937377491350458742598603596 type: gnfs rlim: 2300000 alim: 2300000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.6 alambda: 2.6 qintsize: 100000 Factor base limits: 2300000/2300000 Large primes per side: 3 Large prime bits: 26/26 Sieved special-q in [1150000, 1900000) Relations: rels:4564596, finalFF:483180 Initial matrix: 339941 x 483180 with sparse part having weight 35783544. Pruned matrix : 231550 x 233313 with weight 17084429. Total sieving time: 18.65 hours. Total relation processing time: 0.30 hours. Matrix solve time: 2.96 hours. Time per square root: 0.34 hours. Prototype def-par.txt line would be: gnfs,102,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000 total time: 22.25 hours. --------- CPU info (if available) ----------

(2·10¹⁵⁹-17)/3 = (6)₁₅₈1_<159> = 151 · 193 · 33809 · 281842411799081556778189_<24> · 1435923743441647564927829_<25> · C103

C103 = P44 · P60

P44 = 14763994702977033624476169056596457639676577_<44>

P60 = 113240181086868081035463303592256704928173109045882390874019_<60>

g103-tst103.txt

Number: tst103 N=1671877433730680414744127338572445943082089414558796873299382365677644251619345773287392489551512152963 ( 103 digits) Divisors found: r1=14763994702977033624476169056596457639676577 (pp44) r2=113240181086868081035463303592256704928173109045882390874019 (pp60) Version: GGNFS-0.73.5 Total time: 21.43 hours. Scaled time: 8.57 units (timescale=0.400). Factorization parameters were as follows: name: tst103 n: 1671877433730680414744127338572445943082089414558796873299382365677644251619345773287392489551512152963 skew: 18408.77 # norm 4.13e+014 c5: 13440 c4: -957504976 c3: 4902407786282 c2: 142722191771477992 c1: -1276386152726489056593 c0: -11746284809197600870538022 # alpha -6.27 Y1: 9759753791 Y0: -41587468571014333421 # Murphy_E 2.43e-009 # M 518986602050004608986338033009258987894873168846203354048384600054346879244136288207420757002701044586 type: gnfs rlim: 2300000 alim: 2300000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.6 alambda: 2.6 qintsize: 100000 Factor base limits: 2300000/2300000 Large primes per side: 3 Large prime bits: 26/26 Sieved special-q in [1150000, 1850001) Relations: rels:4652638, finalFF:553497 Initial matrix: 339034 x 553497 with sparse part having weight 40424156. Pruned matrix : 189137 x 190896 with weight 17897137. Polynomial selection time: 0.42 hours. Total sieving time: 17.49 hours. Total relation processing time: 0.34 hours. Matrix solve time: 2.81 hours. Time per square root: 0.37 hours. Prototype def-par.txt line would be: gnfs,102,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000 total time: 21.43 hours. --------- CPU info (if available) ----------

Mar 27, 2005

By Makoto Kamada / GGNFS-0.75.0 snfs

(4·10¹⁴⁶-13)/9 = (4)₁₄₅3_<146> = 107 · 27131640162086598233_<20> · C125

C125 = P33 · P37 · P56

P33 = 184121370490036915586131035059509_<33>

P37 = 1055603875077599414172552979920523717_<37>

P56 = 78768482909143118022534192640998218827816175800212452401_<56>

s146-44443_146.txt

Number: 44443_146 N=15309381857722550568177290685677418173257725221119486749587605519219538090145994261016977108702881413303365890499729405612153 ( 125 digits) SNFS difficulty: 146 digits. Divisors found: r1=184121370490036915586131035059509 (pp33) r2=1055603875077599414172552979920523717 (pp37) r3=78768482909143118022534192640998218827816175800212452401 (pp56) Version: GGNFS-0.75.0 Total time: 17.08 hours. Scaled time: 14.73 units (timescale=0.862). Factorization parameters were as follows: n: 15309381857722550568177290685677418173257725221119486749587605519219538090145994261016977108702881413303365890499729405612153 m: 100000000000000000000000000000 c5: 40 c0: -13 skew: 1 type: snfs Factor base limits: 1500000/1500000 Large primes per side: 3 Large prime bits: 27/27 Sieved special-q in [750000, 2650001) Relations: rels:3624359, finalFF:261464 Initial matrix: 228438 x 261464 with sparse part having weight 25917761. Pruned matrix : 224032 x 225238 with weight 19157991. Total sieving time: 14.65 hours. Total relation processing time: 0.16 hours. Matrix solve time: 2.23 hours. Time per square root: 0.05 hours. Prototype def-par.txt line would be: snfs,146,5,0,0,0,0,0,0,0,0,1500000,1500000,27,27,45,45,2.3,2.3,100000 total time: 17.08 hours. --------- CPU info (if available) ----------

Mar 26, 2005 (3rd)

By Sinkiti Sibata / GGNFS-0.73.4

(8·10¹⁴⁶-71)/9 = (8)₁₄₅1_<146> = 3² · 8071981 · 957192698577191959_<18> · C121

C121 = P39 · P82

P39 = 244015058696722731017342474697235400573_<39>

P82 = 5238522716535463823830498912093836594874424872235128509924294388313944637065183927_<82>

Number: j88105
N=1278278428159516617589877135556811657384437306322571230959660199347283694792190788503310029082936224665104016453766190171
  ( 121 digits)
Divisors found:
 r1=244015058696722731017342474697235400573 (pp39)
 r2=5238522716535463823830498912093836594874424872235128509924294388313944637065183927 (pp82)
Version: GGNFS-0.73.4
Total time: 43.01 hours.
Scaled time: 26.50 units (timescale=0.616).
Factorization parameters were as follows:
name: j88105
n: 1278278428159516617589877135556811657384437306322571230959660199347283694792190788503310029082936224665104016453766190171
m: 100000000000000000000000000000
c5: 80
c0: -71
skew: 2
type: snfs

Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [650000, 4950001)
Relations: rels:4874901, finalFF:235426
Initial matrix: 199856 x 235426 with sparse part having weight 25338580.
Pruned matrix : 190709 x 191772 with weight 20142242.
Total sieving time: 40.38 hours.
Total relation processing time: 0.84 hours.
Matrix solve time: 1.69 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,120,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1300000,1300000,27,27,45,45,2.3,2.3,100000
total time: 43.01 hours.
 --------- CPU info (if available) ----------

Mar 26, 2005 (2nd)

By Makoto Kamada / GGNFS-0.74.1 snfs

(4·10¹⁴⁴-13)/9 = (4)₁₄₃3_<144> = 911 · 359501 · 115444936721172868421531_<24> · C113

C113 = P31 · P40 · P43

P31 = 1201061938005134735112420803261_<31>

P40 = 9702710356322893635637713183602981332511_<40>

P43 = 1008708407750564258969627143935650466905113_<43>

s145-44443_144.txt

Number: 44443_144 N=11755040022769447687390882490628718086485738632568964016027838051589250250124019159099530736518067228835227130923 ( 113 digits) SNFS difficulty: 145 digits. Divisors found: r1=1201061938005134735112420803261 (pp31) r2=9702710356322893635637713183602981332511 (pp40) r3=1008708407750564258969627143935650466905113 (pp43) Version: GGNFS-0.74.1 Total time: 17.66 hours. Scaled time: 15.21 units (timescale=0.861). Factorization parameters were as follows: n: 11755040022769447687390882490628718086485738632568964016027838051589250250124019159099530736518067228835227130923 m: 100000000000000000000000000000 c5: 2 c0: -65 skew: 4 type: snfs Factor base limits: 1300000/1300000 Large primes per side: 3 Large prime bits: 27/27 Sieved special-q in [650000, 2750001) Relations: rels:3720584, finalFF:227402 Initial matrix: 199969 x 227402 with sparse part having weight 26358271. Pruned matrix : 193005 x 194068 with weight 21052707. Total sieving time: 15.50 hours. Total relation processing time: 0.14 hours. Matrix solve time: 1.97 hours. Time per square root: 0.05 hours. Prototype def-par.txt line would be: snfs,145,5,0,0,0,0,0,0,0,0,1300000,1300000,27,27,45,45,2.3,2.3,100000 total time: 17.66 hours. --------- CPU info (if available) ----------

Mar 26, 2005

GGNFS-0.75.0 was released.

GGNFS - A Number Field Sieve implementation (Chris Monico)

Mar 25, 2005

By Makoto Kamada / GGNFS-0.74.1 gnfs

(4·10¹⁴¹-13)/9 = (4)₁₄₀3_<141> = 19 · 11069 · 1094246828371_<13> · 6290633795157765887_<19> · C105

C105 = P45 · P60

P45 = 882988703243923229509415932407539393649751121_<45>

P60 = 347688755777819104713795128071419010771590740035114488452689_<60>

g105-44443_141.txt

Number: 44443_141 N=307005243596749611613291380655354161038111342557966084769529105265245296622494320441697602513253233214369 ( 105 digits) Divisors found: r1=882988703243923229509415932407539393649751121 (pp45) r2=347688755777819104713795128071419010771590740035114488452689 (pp60) Version: GGNFS-0.74.1 Total time: 16.24 hours. Scaled time: 14.00 units (timescale=0.862). Factorization parameters were as follows: name: 44443_141 n: 307005243596749611613291380655354161038111342557966084769529105265245296622494320441697602513253233214369 skew: 13488.80 # norm 4.68e+14 c5: 79800 c4: 1834733960 c3: -22524078205228 c2: -259070483224289251 c1: 1029119994199072020522 c0: 11975505863139374934847560 # alpha -6.17 Y1: 85320618823 Y0: -82608838864597055033 # Murphy_E 1.88e-09 # M 157372784486887122567186541267717179433556623711274137470156651625520457554944324459053398289384649589080 type: gnfs rlim: 2500000 alim: 2500000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.6 alambda: 2.6 qintsize: 150000 Factor base limits: 2500000/2500000 Large primes per side: 3 Large prime bits: 26/26 Sieved special-q in [1250000, 2300001) Relations: rels:4948166, finalFF:653900 Initial matrix: 365697 x 653900 with sparse part having weight 52685375. Pruned matrix : 202513 x 204405 with weight 27013479. Polynomial selection time: 0.33 hours. Total sieving time: 12.67 hours. Total relation processing time: 0.28 hours. Matrix solve time: 2.81 hours. Time per square root: 0.14 hours. Prototype def-par.txt line would be: gnfs,104,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000 total time: 16.24 hours. --------- CPU info (if available) ----------

Note: snfs could be fast because 141/105=1.34 is much less than 1.5.

Mar 24, 2005 (4th)

The following minor patch for factLat.pl of GGNFS-0.74.1 worked well on the previous result. It reduces sqrt loops for the last factor of three or more factors.

ggnfs-0.74.1-k1.patch

*** ../../../ggnfs-0.74.1/tests/factLat.pl Fri Mar 18 01:54:39 2005 --- ./factLat.pl Thu Mar 24 06:25:07 2005 *************** *** 145,148 **** --- 145,285 ---- } + #------------------------------------------------------------------------------- + #probab_prime_p(n, reps) + # Return whether n is probably prime or not. + # '' = composite + # 1 = probably prime + # 2 = prime + # This function uses GMP PERL MODULE (gmp-4.1.4/demos/perl) if available. + # GMP::Mpz::probab_prime_p is very fast but never returns 2 because it's a bool + # function. + if (eval('use GMP::Mpz;1;')) { + *probab_prime_p = sub { + GMP::Mpz::probab_prime_p("$_[0]", $_[1]); #convert Math::BigInt to scalar + }; + } else { + *probab_prime_p = sub { + my ($n, $reps) = @_; + ref $n or $n = new Math::BigInt($n); + $n->is_negative() and $n->babs(); + #Trial division + if ($n < 1000000) { + $n = "$n" + 0; #scalar + $n < 2 and return ''; + foreach (@primes1000) { + my $q = int($n / $_); + $q < $_ and return 2; + $n - $_ * $q or return ''; + } + return 2; + } + $n->bgcd($primorial168)->is_one() or return ''; #bgcd returns new object + #Fermat test + # gcd(n,210)==1 is ensured by trial division. + my $nm1 = $n->copy()->bdec(); #new object + new Math::BigInt(210)->bmodpow($nm1, $n)->is_one() or return ''; + #Miller Rabin test + # Reference: gmp-4.1.4/mpz/millerrabin.c + my $k = scan1($nm1, 0); + my $q = $nm1->copy()->brsft($k, 2); #new object + MILLER_RABIN_LOOP: + while ($reps-- > 0) { + my $x; + do { + $x = urandomb(sizeinbase($n, 2) - 1); + } while ($x <= 1); + $x->bmodpow($q, $n)->is_one() || $x == $nm1 and next MILLER_RABIN_LOOP; + my $i; + for ($i = 1; $i < $k; $i++) { + $x->bmul($x)->bmod($n) == $nm1 and next MILLER_RABIN_LOOP; + $x->is_one() and return ''; + } + return ''; + } + 1; + }; + #primes1000 + # Primes up to 1000. + @primes1000 = ( + 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, + 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, + 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, + 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, + 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, + 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, + 283, 293, 307, 311, 313, 317, 331, 337, 347, 349, + 353, 359, 367, 373, 379, 383, 389, 397, 401, 409, + 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, + 467, 479, 487, 491, 499, 503, 509, 521, 523, 541, + 547, 557, 563, 569, 571, 577, 587, 593, 599, 601, + 607, 613, 617, 619, 631, 641, 643, 647, 653, 659, + 661, 673, 677, 683, 691, 701, 709, 719, 727, 733, + 739, 743, 751, 757, 761, 769, 773, 787, 797, 809, + 811, 821, 823, 827, 829, 839, 853, 857, 859, 863, + 877, 881, 883, 887, 907, 911, 919, 929, 937, 941, + 947, 953, 967, 971, 977, 983, 991, 997, + ); + #primorial168 + # Product of primes up to 1000. + $primorial168 = Math::BigInt->bone(); + foreach (@primes1000) { + $primorial168->bmul($_); + } + #scan1(n, start) + # Return the index of the least significant 1 in base 2. + *scan1 = sub { + my ($n, $start) = @_; + $n = new Math::BigInt($n); #new object + $n->is_negative() and $n->babs(); + $start > 0 and $n->brsft($start, 2); + $n->is_zero() and return 0xffffffff; + my $q; + ($n, $q) = $n->bdiv(0x100000000); + until ($q) { + $start += 32; + ($n, $q) = $n->bdiv(0x100000000); + } + until ($q & 1) { + $start++; + $q >>= 1; + } + $start; + }; + #sizeinbase(n, base) + # Return the size of n measured in number of digits in base base. + *sizeinbase = sub { + my ($n, $base) = @_; + $n = new Math::BigInt($n); #new object + $n->is_negative() and $n->babs(); + $base < 2 and $base = 2; + $base = new Math::BigInt($base); #new object + my @list = (); + while ($base <= $n) { + push(@list, $base); + $base *= $base; #new object + } + my $size = 1; + while (@list) { + $base = pop(@list); + if ($base <= $n) { + $n->bdiv($base); + $size += 1 << @list; + } + } + $size; + }; + #urandomb(size) + # Generate a random integer in the range 0 to 2^size-1, inclusive. + *urandomb = sub { + my ($size) = @_; + my $n = new Math::BigInt(int(rand(1 << ($size & 31)))); + while ($size >= 32) { + $n->bmul(0x100000000)->bior(int(rand(0x100000000))); #don't use blsft + $size -= 32; + } + $n; + }; + } + #------------------------------------------------------------------------------- ########################################################### sub getPrimes { *************** *** 183,187 **** $x = $x*$PRIMES[$i]; } ! if ($x==$N) { open(OF, ">>$LOGFILE"); while ($_ = shift @PRIMES) { --- 320,325 ---- $x = $x*$PRIMES[$i]; } ! if ($x==$N || probab_prime_p($N/$x, 10)) { ! $x==$N or push(@PRIMES, $N/$x); open(OF, ">>$LOGFILE"); while ($_ = shift @PRIMES) {

Mar 24, 2005 (3rd)

By Makoto Kamada / GGNFS-0.74.1 snfs

(4·10¹⁴³-13)/9 = (4)₁₄₂3_<143> = 7 · 1977187 · C136

C136 = P34 · P49 · P53

P34 = 6670961413812920852216081065741859_<34>

P49 = 8052514485941713395473217117583362772576332428849_<49>

P53 = 59779427589342048190221936865693818327530153053391797_<53>

s143-44443_143.txt

Number: 44443_143 N=3211232093477424849722968211507737612248718178506306791592907676009577852954326702131032222217325093279669149326394695699672922363542927 ( 136 digits) SNFS difficulty: 143 digits. Divisors found: r1=6670961413812920852216081065741859 (pp34) r2=8052514485941713395473217117583362772576332428849 (pp49) r3=59779427589342048190221936865693818327530153053391797 (pp53) Version: GGNFS-0.74.1 Total time: 10.81 hours. Scaled time: 9.27 units (timescale=0.857). Factorization parameters were as follows: n: 3211232093477424849722968211507737612248718178506306791592907676009577852954326702131032222217325093279669149326394695699672922363542927 m: 20000000000000000000000000000 c5: 125 c0: -13 skew: 1 type: snfs Factor base limits: 1300000/1300000 Large primes per side: 3 Large prime bits: 27/27 Sieved special-q in [650000, 1850001) Relations: rels:3455852, finalFF:268811 Initial matrix: 199804 x 268811 with sparse part having weight 24008427. Pruned matrix : 178766 x 179829 with weight 13834313. Total sieving time: 9.37 hours. Total relation processing time: 0.13 hours. Matrix solve time: 1.28 hours. Time per square root: 0.04 hours. Prototype def-par.txt line would be: snfs,143,5,0,0,0,0,0,0,0,0,1300000,1300000,27,27,45,45,2.3,2.3,100000 total time: 10.81 hours. --------- CPU info (if available) ----------

Mar 24, 2005 (2nd)

By Sinkiti Sibata / GGNFS-0.73.4

(8·10¹⁴³-71)/9 = (8)₁₄₂1_<143> = 3 · 13 · 223 · 175937 · 11183087 · 577824862557427_<15> · C112

C112 = P56 · P57

P56 = 13809248179977295317907181032580714669908659084201317843_<56>

P57 = 651017798512443364918142954111615946493835558472066351647_<57>

Number: j88104
N=8990066349240784092196949538572678291852997278636043194250413507136260650825416650647123847946081685014453537421
  ( 112 digits)
Divisors found:
 r1=13809248179977295317907181032580714669908659084201317843 (pp56)
 r2=651017798512443364918142954111615946493835558472066351647 (pp57)
Version: GGNFS-0.73.4
Total time: 27.43 hours.
Scaled time: 14.87 units (timescale=0.542).
Factorization parameters were as follows:
name: j88104
n: 8990066349240784092196949538572678291852997278636043194250413507136260650825416650647123847946081685014453537421
m: 20000000000000000000000000000
c5: 250
c0: -71
skew: 2
type:snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [650000, 3250001)
Relations: rels:4157343, finalFF:229300
Initial matrix: 199366 x 229300 with sparse part having weight 22516221.
Pruned matrix : 190928 x 191988 with weight 18062251.
Total sieving time: 25.22 hours.
Total relation processing time: 0.61 hours.
Matrix solve time: 1.51 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
type:snfs ,111,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1300000,1300000,27,27,45,45,2.3,2.3,100000
total time: 27.43 hours.
 --------- CPU info (if available) ----------

Mar 24, 2005

By Makoto Kamada / GGNFS-0.74.1 snfs

(4·10¹³⁷-13)/9 = (4)₁₃₆3_<137> = 7 · 104331119 · C128

C128 = P62 · P67

P62 = 47500961308098563123953446535558058249062132442733463363231771_<62>

P67 = 1281159430214433567066750950304294710660085837265621582153232025401_<67>

s137-44443_137.txt

Number: 44443_137 N=60856304524121410088098512095958150380321391446078031678632780208236328859361762900351420618322001791300150881629155623322215171 ( 128 digits) SNFS difficulty: 137 digits. Divisors found: r1=47500961308098563123953446535558058249062132442733463363231771 (pp62) r2=1281159430214433567066750950304294710660085837265621582153232025401 (pp67) Version: GGNFS-0.74.1 Total time: 9.97 hours. Scaled time: 8.58 units (timescale=0.861). Factorization parameters were as follows: n: 60856304524121410088098512095958150380321391446078031678632780208236328859361762900351420618322001791300150881629155623322215171 m: 2000000000000000000000000000 c5: 25 c0: -26 skew: 2 type: snfs Factor base limits: 1000000/800000 Large primes per side: 3 Large prime bits: 25/25 Sieved special-q in [400000, 1675001) Relations: rels:1648151, finalFF:177434 Initial matrix: 142420 x 177434 with sparse part having weight 17138053. Pruned matrix : 132774 x 133550 with weight 11191853. Total sieving time: 9.27 hours. Total relation processing time: 0.08 hours. Matrix solve time: 0.60 hours. Time per square root: 0.03 hours. Prototype def-par.txt line would be: snfs,137,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000 total time: 9.97 hours. --------- CPU info (if available) ----------

Mar 23, 2005 (3rd)

By Makoto Kamada / GGNFS-0.74.1 snfs

(4·10¹³⁶-13)/9 = (4)₁₃₅3_<136> = 3 · 17 · 23869 · C130

C130 = P40 · P90

P40 = 5569604794549986821668105615317242962351_<40>

P90 = 655524158251049906507207657944232316625554679504454956873228577777853555023001632968730147_<90>

s136-44443_136.txt

Number: 44443_136 N=3651010494738391863138950796335590296745918238723329254241858086865024241340556127395074293956181119693724031617385783384999695597 ( 130 digits) SNFS difficulty: 136 digits. Divisors found: r1=5569604794549986821668105615317242962351 (pp40) r2=655524158251049906507207657944232316625554679504454956873228577777853555023001632968730147 (pp90) Version: GGNFS-0.74.1 Total time: 8.11 hours. Scaled time: 6.87 units (timescale=0.847). Factorization parameters were as follows: n: 3651010494738391863138950796335590296745918238723329254241858086865024241340556127395074293956181119693724031617385783384999695597 m: 1000000000000000000000000000 c5: 40 c0: -13 skew: 1 type: snfs Factor base limits: 1000000/800000 Large primes per side: 3 Large prime bits: 25/25 Sieved special-q in [400000, 1300001) Relations: rels:1531027, finalFF:166891 Initial matrix: 142372 x 166891 with sparse part having weight 13950600. Pruned matrix : 134753 x 135528 with weight 9679967. Total sieving time: 7.45 hours. Total relation processing time: 0.07 hours. Matrix solve time: 0.56 hours. Time per square root: 0.03 hours. Prototype def-par.txt line would be: snfs,136,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000 total time: 8.11 hours. --------- CPU info (if available) ----------

Mar 23, 2005 (2nd)

By Makoto Kamada / GMP-ECM 6.0 B1=4000000, sigma=1023024392

(5·10¹⁸⁵+31)/9 = (5)₁₈₄9_<185> = 7 · 839 · 2693 · 3685434983_<10> · 4716143321955779050241_<22> · C147

C147 = P30 · P117

P30 = 784273636611723619839629977117_<30>

P117 = 257684191180800197130168874097180637870838363003197764017252719874203399490245209953298698586830223548082334195460481_<117>

Mar 23, 2005

Implementations and Related links were updated.

Mar 22, 2005 (3rd)

By Makoto Kamada / GMP-ECM 6.0 B1=4000000, sigma=1320275836

(32·10¹⁷⁸-23)/9 = 3(5)₁₇₇3_<179> = 3⁵ · 7 · 821641 · 31761867398052964369111_<23> · C147

C147 = P29 · C119

P29 = 13291104803552696136084852221_<29>

C119 = [60263443220925733510339303130734397530483629006462893782178196085088379313216246787243364610748439124277888190622016543_<119>]

(34·10¹⁵³-43)/9 = 3(7)₁₅₂3_<154> = 7 · 11 · 29 · C151

C151 = P29 · P122

P29 = 18654458903298109028309897689_<29>

P122 = 90691174909606288413043494285123665969423939843744607862478985935345942334804808180830023827233929506567312815377993457629_<122>

Mar 22, 2005 (2nd)

GGNFS-0.74.1 was released.

GGNFS - A Number Field Sieve implementation (Chris Monico)

Mar 22, 2005

By Makoto Kamada / GMP-ECM 6.0 B1=4000000, sigma=1871608025

(29·10¹⁸²+7)/9 = 3(2)₁₈₁3_<183> = 19 · C182

C182 = P32 · C150

P32 = 78816798311170189259967749425793_<32>

C150 = [215170683038033059308217327764204256619797115290314719459247954557090026283100034553365444015962463244812020203725360539039142912528169906670326462869_<150>]

Mar 21, 2005

By Sinkiti Sibata / GGNFS-0.73.4

(8·10¹³⁸-71)/9 = (8)₁₃₇1_<138> = 7² · 23 · 823 · C132

C132 = P63 · P70

P63 = 953126908649690815881932198872510676877162465427926423951261251_<63>

P70 = 1005478979268033474209037726769876604944030148214639347290810254224411_<70>

Number: j88103
N=958349071221987306906138932583616854916372663140660846373169867732254998958394353215602545806390247648181430812767461748994242598161
  ( 132 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=953126908649690815881932198872510676877162465427926423951261251 (pp63)
 r2=1005478979268033474209037726769876604944030148214639347290810254224411 (pp70)
Version: GGNFS-0.73.4
Total time: 65.93 hours.
Scaled time: 26.11 units (timescale=0.396).
Factorization parameters were as follows:
name: j88103
n: 958349071221987306906138932583616854916372663140660846373169867732254998958394353215602545806390247648181430812767461748994242598161
m: 1000000000000000000000000000
c5: 8000
c0: -71
skew: 2
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 2725001)
Relations: rels:1743544, finalFF:165724
Initial matrix: 142028 x 165724 with sparse part having weight 21244052.
Pruned matrix : 136947 x 137721 with weight 16246194.
Total sieving time: 61.92 hours.
Total relation processing time: 0.46 hours.
Matrix solve time: 3.42 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,138,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 65.93 hours.
 --------- CPU info (if available) ----------

Mar 20, 2005 (3rd)

By Makoto Kamada / GMP-ECM 6.0 B1=4000000, sigma=638607885

(2·10¹⁷⁶+43)/9 = (2)₁₇₅7_<176> = 3 · 48971055909467_<14> · C162

C162 = P30 · C132

P30 = 228716882727738050432210325227_<30>

C132 = [661345708821893374203289907537504451929814257329220639890816873822424081235838857218842383267701303693905313157390167847097369642601_<132>]

Mar 20, 2005

By Makoto Kamada / GMP-ECM 6.0 B1=4000000, sigma=2121005909

(2·10¹⁶⁰+7)/9 = (2)₁₅₉3_<160> = 3 · 13 · 1250062086469161201059_<22> · C137

C137 = P29 · C108

P29 = 48136003548959021271666142271_<29>

C108 = [946937390184119123149230014216110746175388879386938474765261300359954677327523608896717756677011940160296813_<108>]

Mar 19, 2005

By Makoto Kamada / GMP-ECM 6.0 B1=4000000, sigma=1857358533

(5·10¹⁷¹-17)/3 = 1(6)₁₇₀1_<172> = 11 · 2287 · 1918849 · 67969339 · 1750787829386077_<16> · C138

C138 = P31 · P108

P31 = 1289639832433732866367006317421_<31>

P108 = 224974914700071946670803106645422496810079454083188654051428093378792437954679615961223611371107871758704779_<108>

Mar 18, 2005 (3rd)

By Makoto Kamada / GMP-ECM 6.0 B1=4000000, sigma=699392997

(16·10¹⁸²-7)/9 = 1(7)₁₈₂_<183> = 3 · 227 · 30853 · 1396054142825212027_<19> · C157

C157 = P32 · C126

P32 = 30844830282414589468929329921501_<32>

C126 = [196493557424740682427240818584015055922748541801083874106162700859906957590919852245108331779080425865538457466900821724236507_<126>]

Mar 18, 2005 (2nd)

By Sinkiti Sibata / GGNFS-0.73.4

(8·10¹³³-71)/9 = (8)₁₃₂1_<133> = 2083 · 281540027927_<12> · C119

C119 = P53 · P66

P53 = 44180697947286255158411062483799634703103896793670097_<53>

P66 = 343072167102739027740217720669150545239984708581552287416209632653_<66>

Number: j88102
N=15157167788887029278499434160650876598230979558105683916702038933061368520629865974352232379281951637248094608040877341
  ( 119 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=44180697947286255158411062483799634703103896793670097 (pp53)
 r2=343072167102739027740217720669150545239984708581552287416209632653 (pp66)
Version: GGNFS-0.73.4
Total time: 36.87 hours.
Scaled time: 14.60 units (timescale=0.396).
Factorization parameters were as follows:
name: j88102
n: 15157167788887029278499434160650876598230979558105683916702038933061368520629865974352232379281951637248094608040877341
m: 100000000000000000000000000
c5: 8000
c0: -71
skew: 2
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 1675001)
Relations: rels:1621596, finalFF:181659
Initial matrix: 142028 x 181659 with sparse part having weight 18291923.
Pruned matrix : 131149 x 131923 with weight 11396562.
Total sieving time: 34.06 hours.
Total relation processing time: 0.40 hours.
Matrix solve time: 2.30 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,133,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 36.87 hours.
 --------- CPU info (if available) ----------

Mar 18, 2005

GGNFS-0.74.0 was released.

GGNFS - A Number Field Sieve implementation (Chris Monico)

Mar 17, 2005 (5th)

By Makoto Kamada / GMP-ECM 6.0 B1=4000000, sigma=3012996616

(4·10¹⁶¹-31)/9 = (4)₁₆₀1_<161> = 131 · 883 · 2208991 · C150

C150 = P27 · C123

P27 = 797310706397702315094462679_<27>

C123 = [218154381678270038525449369005992663649547727274534303648935100262558948664172946382691774971574060972964083543032839108153_<123>]

Mar 17, 2005 (4th)

66...661 was completed up to n=150 and extended to n=200.

Mar 17, 2005 (3rd)

By Samuel Chong / GGNFS-0.73.5

(2·10¹⁴⁴-17)/3 = (6)₁₄₃1_<144> = 109 · 50023 · 21751193 · 735932175501569_<15> · C115

C115 = P46 · P69

P46 = 9010310688642326233265096984647407945862839721_<46>

P69 = 847718907657335420285035802731421296973483966989310537574803153805439_<69>

Number: 66661_144
N=7638210734629086471818368941391297821059070838809421324664386454024733507855954660821975509504077362672260075042519
  ( 115 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=9010310688642326233265096984647407945862839721 (pp46)
 r2=847718907657335420285035802731421296973483966989310537574803153805439 (pp69)
Version: GGNFS-0.73.5
Total time: 11.52 hours.
Scaled time: 13.63 units (timescale=1.183).
Factorization parameters were as follows:
name: 66661_144
n: 7638210734629086471818368941391297821059070838809421324664386454024733507855954660821975509504077362672260075042519
m: 100000000000000000000000000000
c5: 1
c0: -85
type: snfs
skew: 3.3
# q0: 1500000
# qintsize: 1000
# Total yield: 2832
# 0.01042 sec/rel
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [650000, 2050001)
Relations: rels:3384525, finalFF:231570
Initial matrix: 200443 x 231570 with sparse part having weight 23798999.
Pruned matrix : 192012 x 193078 with weight 17523997.
Total sieving time: 10.81 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 0.50 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,145,5,0,0,0,0,0,0,0,0,1300000,1300000,27,27,45,45,2.3,2.3,100000
total time: 11.52 hours.
 --------- CPU info (if available) ----------
Pentium M, 1.8GHz, 1GB RAM
elapsed time: 11h48m27.252s

Mar 17, 2005 (2nd)

By Anton Korobeynikov / GGNFS-0.73.3 gnfs

6·10¹⁸¹-1 = 5(9)₁₈₁_<182> = 131 · 487 · 18181 · 674898763500069035186759_<24> · 19628097687242489745811747_<26> · 48674443951736616443332178819393_<32> · C92

C92 = P36 · P57

P36 = 649358366409383652721618856006943917_<36>

P57 = 123546641542522653581874320775628167353811065357396519639_<57>

g92-tst92.txt

Number: tst92 N=80226045327418205244076379505715520076927907989546678856020648136216222939800049752462085963 ( 92 digits) Divisors found: r1=649358366409383652721618856006943917 (pp36) r2=123546641542522653581874320775628167353811065357396519639 (pp57) Version: GGNFS-0.73.3 Total time: 6.23 hours. Scaled time: 1.85 units (timescale=0.297). Factorization parameters were as follows: name: tst92 n: 80226045327418205244076379505715520076927907989546678856020648136216222939800049752462085963 skew: 4211.35 # norm 1.58e+013 c5: 7560 c4: -231598492 c3: 598808991217 c2: 6717165610745981 c1: 7094334877139839617 c0: -47203414945632308115 # alpha -5.64 Y1: 2833330379 Y0: -402881599538813852 # Murphy_E 8.18e-009 # M 57577461456125756174484851300650025612105237732620253876251880888982827604167079710313100266 type: gnfs rlim: 700000 alim: 700000 lpbr: 25 lpba: 25 mfbr: 44 mfba: 44 rlambda: 2.4 alambda: 2.4 qintsize: 40000 Factor base limits: 700000/700000 Large primes per side: 3 Large prime bits: 25/25 Sieved special-q in [350000, 630001) Relations: rels:1562721, finalFF:172585 Initial matrix: 113185 x 172585 with sparse part having weight 11406419. Pruned matrix : 88423 x 89052 with weight 4295082. Polynomial selection time: 0.43 hours. Total sieving time: 5.25 hours. Total relation processing time: 0.19 hours. Matrix solve time: 0.27 hours. Time per square root: 0.09 hours. Prototype def-par.txt line would be: gnfs,91,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,700000,700000,25,25,44,44,2.4,2.4,40000 total time: 6.23 hours. --------- CPU info (if available) ----------

(2·10¹⁵⁵+61)/9 = (2)₁₅₄9_<155> = 224291 · 25151270720546305374653_<23> · 53930670335029865196595439_<26> · C101

C101 = P38 · P64

P38 = 11470361757319810381042505340424311199_<38>

P64 = 6367995878207355963094808493213892205598555681436964552563889443_<64>

g101-tst101_1.txt

Number: tst101 N=73043216392159836743455192645983210041576418630114539558776810505164870901341164247716008073662772157 ( 101 digits) Divisors found: r1=11470361757319810381042505340424311199 (pp38) r2=6367995878207355963094808493213892205598555681436964552563889443 (pp64) Version: GGNFS-0.73.3 Total time: 17.74 hours. Scaled time: 6.49 units (timescale=0.366). Factorization parameters were as follows: name: tst101 n: 73043216392159836743455192645983210041576418630114539558776810505164870901341164247716008073662772157 skew: 7388.97 # norm 5.53e+013 c5: 7560 c4: -51204418 c3: -1157103939444 c2: -25129480575387936 c1: 27322967461395609713 c0: 3445697350719114697815 # alpha -5.08 Y1: 102172621 Y0: -24946614793512359074 # Murphy_E 2.98e-009 # M 20430318384618232245177522939202087894317747596931062833827892657732480831248873519786231793101006499 type: gnfs rlim: 1800000 alim: 1800000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 1800000/1800000 Large primes per side: 3 Large prime bits: 26/26 Sieved special-q in [900000, 1600001) Relations: rels:4088461, finalFF:420912 Initial matrix: 269812 x 420912 with sparse part having weight 31790846. Pruned matrix : 180027 x 181440 with weight 14308747. Total sieving time: 15.04 hours. Total relation processing time: 0.32 hours. Matrix solve time: 2.07 hours. Time per square root: 0.30 hours. Prototype def-par.txt line would be: gnfs,100,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000 total time: 17.74 hours. --------- CPU info (if available) ----------

(61·10¹⁴³-7)/9 = 6(7)₁₄₃_<144> = 51431 · 10622701 · 496487647973_<12> · 56238928049817934793_<20> · C101

C101 = P43 · P58

P43 = 4680975399001077044491138897340829801609143_<43>

P58 = 9491733990131346309861366171831433389834016080784918094921_<58>

g101-tst101.txt

Number: tst101 N=44430573301667163875015912942394288922520937631017633720744231852610391614127226857727790903815462703 ( 101 digits) Divisors found: r1=4680975399001077044491138897340829801609143 (pp43) r2=9491733990131346309861366171831433389834016080784918094921 (pp58) Version: GGNFS-0.73.3 Total time: 19.12 hours. Scaled time: 15.77 units (timescale=0.825). Factorization parameters were as follows: name: tst101 n: 44430573301667163875015912942394288922520937631017633720744231852610391614127226857727790903815462703 skew: 981.07 # norm 6.89e+012 c5: 298920 c4: -645813627 c3: -1821650356955 c2: 1424199892490597 c1: 542653892268081804 c0: -846154728533839239 # alpha -3.79 Y1: 30747684583 Y0: -10824950565860976920 # Murphy_E 3.28e-009 # M 5257768264341572119749655070008092438818206439441586939006033870197521623940789578436260820291088468 type: gnfs rlim: 1800000 alim: 1800000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 1800000/1800000 Large primes per side: 3 Large prime bits: 26/26 Sieved special-q in [900000, 1500001) Relations: rels:3861447, finalFF:348594 Initial matrix: 270543 x 348594 with sparse part having weight 24327315. Pruned matrix : 211498 x 212914 with weight 12768152. Polynomial selection time: 0.34 hours. Total sieving time: 16.56 hours. Total relation processing time: 0.25 hours. Matrix solve time: 1.76 hours. Time per square root: 0.22 hours. Prototype def-par.txt line would be: gnfs,100,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000 total time: 19.12 hours. --------- CPU info (if available) ----------

Mar 17, 2005

By Wataru Sakai / GMP-ECM 6.0 B1=10000000, sigma=3237705988, ppsiqs

5·10¹⁶³-1 = 4(9)₁₆₃_<164> = 7 · 113 · 4051162866465457_<16> · 80377700901754687749486798145765159_<35> · C111

C111 = P30 · P38 · P44

P30 = 922191787468962700083112302737_<30>

P38 = 10600775268809505921573949265742014977_<38>

P44 = 19857261721993282761679812592330289110528447_<44>

Mar 16, 2005 (4th)

By Sinkiti Sibata / GGNFS

(8·10¹³¹-71)/9 = (8)₁₃₀1_<131> = 3 · 13 · 43 · C128

C128 = P39 · P45 · P46

P39 = 205452220941053456381764541983761700591_<39>

P45 = 198893883663448598360206316239185131829733873_<45>

P46 = 1297125946323526646472484824054582043569965771_<46>

Mar 16, 2005 (3rd)

By Makoto Kamada / GMP-ECM 5.0.3 B1=4000000, sigma=2600234418

(31·10¹⁹⁸-13)/9 = 3(4)₁₉₇3_<199> = 13807 · 55176943 · 2464251682646479368817283_<25> · C163

C163 = P37 · P126

P37 = 7668852788629687774894484829351720091_<37>

P126 = 239247143552778489059012095627246918199057381789225651368653497083406463540165747563198598351478625341918482064501174891622731_<126>

Mar 16, 2005 (2nd)

By Samuel Chong / GGNFS-0.73.5

(2·10¹⁴⁷-17)/3 = (6)₁₄₆1_<147> = 113468360961238251999461_<24> · C124

C124 = P57 · P68

P57 = 167551653305861484475167174818184917477461455719286923167_<57>

P68 = 35065920334552258653933991509712710211702738896870600298642734067103_<68>

Number: 66661_147
N=5875352926745858400364299835553161667388639882024982258932877646732775882448151073709335484737960632059069528172128983275201
  ( 124 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=167551653305861484475167174818184917477461455719286923167 (pp57)
 r2=35065920334552258653933991509712710211702738896870600298642734067103 (pp68)
Version: GGNFS-0.73.5
Total time: 15.76 hours.
Scaled time: 18.71 units (timescale=1.187).
Factorization parameters were as follows:
name: 66661_147
n: 5875352926745858400364299835553161667388639882024982258932877646732775882448151073709335484737960632059069528172128983275201
m: 100000000000000000000000000000
c5: 200
c0: -17
type: snfs
skew: 0.9
# Total yield: 2752
# 0.01245 sec/rel
# q0: 1500000
# qintsize: 1000
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [750000, 2650001)
Relations: rels:3584708, finalFF:261807
Initial matrix: 228567 x 261807 with sparse part having weight 27421568.
Pruned matrix : 218660 x 219866 with weight 20601947.
Total sieving time: 14.82 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 0.67 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,147,5,0,0,0,0,0,0,0,0,1500000,1500000,27,27,45,45,2.3,2.3,100000
total time: 15.76 hours.
 --------- CPU info (if available) ----------
Pentium M, 1.8GHz, 1GB RAM
elapsed time: 16h13m35.908s

Mar 16, 2005

By Wataru Sakai / GMP-ECM 6.0 B1=10000000, sigma=3353644342

5·10¹⁶³-1 = 4(9)₁₆₃_<164> = 7 · 113 · 4051162866465457_<16> · C146

C146 = P35 · C111

P35 = 80377700901754687749486798145765159_<35>

C111 = [194123555905774073773335872686682485377707052288007418336823809554914419973347368013356801541069288909997017903_<111>]

Mar 15, 2005 (3rd)

By Makoto Kamada / GMP-ECM 6.0 B1=30000000, sigma=424246314

2·10¹⁸⁶-1 = 1(9)₁₈₆_<187> = C187

C187 = P42 · P145

P42 = 296901871784840474596451067124798270007983_<42>

P145 = 6736232371917697306232661533335076985833929307159972549000421272481243378053186113524491727400346082186043249318474480674836559545201820196754353_<145>

Mar 15, 2005 (2nd)

By Makoto Kamada / GMP-ECM 6.0 B1=38000000, sigma=3142880293

2·10¹⁶⁵-1 = 1(9)₁₆₅_<166> = C166

C166 = P34 · P132

P34 = 7655941307665973375570133663486511_<34>

P132 = 261235022530460006598408687183638970951651414830860078908511421097709137512874249975566177407311365807827101538554263013466888047409_<132>

Mar 15, 2005

By Samuel Chong / GGNFS-0.73.5

(2·10¹⁴⁵-17)/3 = (6)₁₄₄1_<145> = 15051374209_<11> · 271049832816685802123_<21> · C115

C115 = P52 · P63

P52 = 2897480993006825249677033828038227862600186433752149_<52>

P63 = 563978889553907436123240447494023449044786385777188195106095827_<63>

Number: 66661_145
N=1634118112939542341782232505884671006780046147979199384284867046315859403063925801261340213499693908724169961182223
  ( 115 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=2897480993006825249677033828038227862600186433752149 (pp52)
 r2=563978889553907436123240447494023449044786385777188195106095827 (pp63)
Version: GGNFS-0.73.5
Total time: 16.19 hours.
Scaled time: 19.21 units (timescale=1.186).
Factorization parameters were as follows:
name: 66661_145
n: 1634118112939542341782232505884671006780046147979199384284867046315859403063925801261340213499693908724169961182223
m: 100000000000000000000000000000
c5: 2
c0: -17
type: snfs
skew: 1.6
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [650000, 2750001)
Relations: rels:3724848, finalFF:234368
Initial matrix: 200339 x 234368 with sparse part having weight 29371143.
Pruned matrix : 192190 x 193255 with weight 22189332.
Total sieving time: 15.33 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 0.58 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,145,5,0,0,0,0,0,0,0,0,1300000,1300000,27,27,45,45,2.3,2.3,100000
total time: 16.19 hours.
 --------- CPU info (if available) ----------
Pentium M, 1.8GHz, 1GB RAM
elapsed time: 16h56m22.138s

Mar 14, 2005 (3rd)

411...11 was completed up to n=150 and extended to n=200.

Mar 14, 2005 (2nd)

By Sinkiti Sibata / GGNFS-0.73.4

(37·10¹⁴³-1)/9 = 4(1)₁₄₃_<144> = 3 · 67 · 103 · 3414687691_<10> · 292919872076554216571711_<24> · C107

C107 = P41 · P67

P41 = 14417866945101946715981308346194094245927_<41>

P67 = 1376971952834728027637351312304465040637121323011850730119186565731_<67>

Number: i41107
N=19852998403108302046327483463154874767909149204413354266820803314730743743849556135295075794236187264527637
  ( 107 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=14417866945101946715981308346194094245927 (pp41)
 r2=1376971952834728027637351312304465040637121323011850730119186565731 (pp67)
Version: GGNFS-0.73.4
Total time: 91.77 hours.
Scaled time: 36.16 units (timescale=0.394).
Factorization parameters were as follows:
name: i41107
n: 19852998403108302046327483463154874767909149204413354266820803314730743743849556135295075794236187264527637
m: 10000000000000000000000000000
c5: 37000
c0: -1
skew: 2
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [650000, 4150001)
Relations: rels:4066793, finalFF:227135
Initial matrix: 200586 x 227135 with sparse part having weight 32998299.
Pruned matrix : 194544 x 195610 with weight 27098832.
Total sieving time: 81.88 hours.
Total relation processing time: 1.33 hours.
Matrix solve time: 8.34 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
snfs,144,5,0,0,0,0,0,0,0,0,1300000,1300000,27,27,45,45,2.3,2.3,100000
total time: 91.77 hours.
 --------- CPU info (if available) ----------

Mar 14, 2005

By Makoto Kamada / GMP-ECM 5.0.3

(4·10¹⁶⁶+41)/9 = (4)₁₆₅9_<166> = 3 · 1259 · 8881923858737_<13> · 40401364458263_<14> · C136

C136 = P26 · C110

P26 = 51065495646920997327834599_<26>

C110 = [64215499797161706827556621033272257352479923928817161623830377582115563446339781572769051365696464966564169073_<110>]

Mar 12, 2005 (5th)

By Makoto Kamada / GMP-ECM 5.0.3

(13·10¹⁶³-1)/3 = 4(3)₁₆₃_<164> = 149 · 50695738647454483125181_<23> · C139

C139 = P28 · P111

P28 = 6140946447600956263768081909_<28>

P111 = 934176770639037903207621033094633898962710110634372879809918378119997157771173772916438630980581332538652981473_<111>

(13·10¹⁶⁴-1)/3 = 4(3)₁₆₄_<165> = 17 · 23 · 121291 · 1720324112526590653_<19> · C139

C139 = P29 · C111

P29 = 22830290549856975884476811953_<29>

C111 = [232645709918092128212963626281842374753128885585849987283506411402099491993298681298998317099407771797991436077_<111>]

Mar 12, 2005 (3rd)

By Makoto Kamada / GMP-ECM 5.0.3

(35·10¹⁸⁸-53)/9 = 3(8)₁₈₇3_<189> = 28817 · 235468099 · 33289822364458007_<17> · 60999723903947177_<17> · C143

C143 = P41 · P102

P41 = 61191520856023770915728179511380334217869_<41>

P102 = 461226334799672805678358305361391690435579575106981188991446293523131031705549655014689841009523462411_<102>

Mar 12, 2005 (2nd)

GGNFS-0.73.5 was released.

GGNFS - A Number Field Sieve implementation (Chris Monico)

Mar 12, 2005

By Makoto Kamada / GMP-ECM 5.0.3

10¹⁸⁹-9 = (9)₁₈₈1_<189> = 680546965633716247679_<21> · C169

C169 = P30 · C139

P30 = 210016417538123401200815971279_<30>

C139 = [6996625878416692438029157723410875624263386189411081125190307294339622079250688809160942796831099033973415942935043602179220749546094656551_<139>]

Mar 11, 2005 (2nd)

By Makoto Kamada / GMP-ECM 5.0.3

(14·10¹⁹⁴-41)/9 = 1(5)₁₉₃1_<195> = C195

C195 = P28 · C168

P28 = 1084570892146078895828767943_<28>

C168 = [143425899295298493547667776972810307359568695526747206375172911744562804904622830704851532009679085160647535787468722279278620890129250378743839728699888544866528719657_<168>]

Mar 11, 2005

By Wataru Sakai / GMP-ECM 6.0

5·10¹⁸⁰-1 = 4(9)₁₈₀_<181> = 10621939 · C174

C174 = P39 · C136

P39 = 371220517601500959349955067754789808321_<39>

C136 = [1268043725350051353132819056594165736383974526766996545360477852847986781906687610303669898118623904197788874590155678924925008343938821_<136>]

Mar 10, 2005 (2nd)

By Makoto Kamada / GMP-ECM 5.0.3

(8·10¹⁷⁶-17)/9 = (8)₁₇₅7_<176> = 3 · 263 · C174

C174 = P29 · P145

P29 = 62589632906718238985476358569_<29>

P145 = 1799981617941769004418310793330172383655105701996801534957053331851522121899102371490932002067738591466062173684026552295640677256094002499030307_<145>

Mar 10, 2005

By Anton Korobeynikov / GGNFS-0.73.3 gnfs

(5·10¹⁵⁶+13)/9 = (5)₁₅₅7_<156> = 61 · 35883949 · 141949580829913622469021786349231378104071_<42> · C106

C106 = P40 · P66

P40 = 3934205771949076809828640959362471057563_<40>

P66 = 454471070720848004878519463239764380275824326613491273821448670481_<66>

g106-txt4.txt

Number: tst4 N=1787982709613837304766056524502437988069122805088687283861386909168481258575131304571383347300968369897803 ( 106 digits) Divisors found: r1=3934205771949076809828640959362471057563 (pp40) r2=454471070720848004878519463239764380275824326613491273821448670481 (pp66) Version: GGNFS-0.73.3 Total time: 21.30 hours. Scaled time: 26.11 units (timescale=1.226). Factorization parameters were as follows: name: c:\Temp\2\tst4 n: 1787982709613837304766056524502437988069122805088687283861386909168481258575131304571383347300968369897803 skew: 30174.97 # norm 8.61e+014 c5: 13380 c4: 1550291707 c3: -42778572086387 c2: -1352396381654064470 c1: 22000085782092414747549 c0: 31524775732074028279147101 # alpha -6.43 Y1: 38826397423 Y0: -167949654093607015832 # Murphy_E 1.63e-009 # M 733133673943172730013496979263979510553737830721897556317376807996914657458325622344138883455054886758048 type: gnfs rlim: 2500000 alim: 2500000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.6 alambda: 2.6 qintsize: 150000 Factor base limits: 2500000/2500000 Large primes per side: 3 Large prime bits: 26/26 Sieved special-q in [1250000, 2150001) Relations: rels:4332389, finalFF:428990 Initial matrix: 366956 x 428990 with sparse part having weight 31406658. Pruned matrix : 315578 x 317476 with weight 18552176. Total sieving time: 18.81 hours. Total relation processing time: 0.24 hours. Matrix solve time: 2.03 hours. Time per square root: 0.22 hours. Prototype def-par.txt line would be: gnfs,105,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000 total time: 21.30 hours. --------- CPU info (if available) ----------

(5·10¹⁹⁰-23)/9 = (5)₁₈₉3_<190> = 3 · 17 · 30130033 · 779004426475729_<15> · 46962959609138895677063_<23> · 61642877659009561805910411419732303873_<38> · C106

C106 = P31 · P75

P31 = 1843474827245696381461512053473_<31>

P75 = 869645414643685580255992403576319514939677727407195575193091526838078741677_<75>

g106-txt3.txt

Number: tst3 N=1603169430525280273237360004572538062979242075276083440879876329917685791614748633736351381778420177694221 ( 106 digits) Divisors found: r1=1843474827245696381461512053473 (pp31) r2=869645414643685580255992403576319514939677727407195575193091526838078741677 (pp75) Version: GGNFS-0.73.3 Total time: 33.40 hours. Scaled time: 41.11 units (timescale=1.231). Factorization parameters were as follows: name: c:\Temp\nfs\2\tst3 n: 1603169430525280273237360004572538062979242075276083440879876329917685791614748633736351381778420177694221 skew: 10665.68 # norm 1.61e+014 c5: 45360 c4: 3612204 c3: -7307513782482 c2: 85466981027536974 c1: -228848313193826011667 c0: -4206984821071912344559005 # alpha -5.83 Y1: 188987510393 Y0: -128724515331220259042 # Murphy_E 1.82e-009 # M 997111374192997662748931952497479978681240565701175658180479296599655987427098674755243416321196594769163 type: gnfs rlim: 2500000 alim: 2500000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.6 alambda: 2.6 qintsize: 150000 Factor base limits: 2500000/2500000 Large primes per side: 3 Large prime bits: 26/26 Sieved special-q in [1250000, 2150001) Relations: rels:4398675, finalFF:441704 Initial matrix: 366071 x 441704 with sparse part having weight 32986715. Pruned matrix : 304230 x 306124 with weight 18559980. Total sieving time: 30.53 hours. Total relation processing time: 0.86 hours. Matrix solve time: 1.75 hours. Time per square root: 0.25 hours. Prototype def-par.txt line would be: gnfs,105,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000 total time: 33.40 hours. --------- CPU info (if available) ----------

6·10¹⁶⁴-1 = 5(9)₁₆₄_<165> = 87666097 · 3885289277_<10> · 44109614707809518761_<20> · 21319013138093007519677927_<26> · C103

C103 = P48 · P55

P48 = 965994679187553790395623209731067844315549634341_<48>

P55 = 1939193395768352506478443961407393057426627632037135873_<55>

g103-txt103.txt

Number: tst103 N=1873250502227872709541004285088419337811749274035337630228939600334926817394525071335252733658083814693 ( 103 digits) Divisors found: r1=965994679187553790395623209731067844315549634341 (pp48) r2=1939193395768352506478443961407393057426627632037135873 (pp55) Version: GGNFS-0.73.3 Total time: 24.63 hours. Scaled time: 24.02 units (timescale=0.975). Factorization parameters were as follows: name: tst103 n: 1873250502227872709541004285088419337811749274035337630228939600334926817394525071335252733658083814693 skew: 24347.59 # norm 5.69e+014 c5: 5760 c4: -51127486 c3: -31363941571997 c2: 50175955872807002 c1: 3409397067437126557050 c0: -2885451555728010515653368 # alpha -6.20 Y1: 1817479939 Y0: -50400483492670285885 # Murphy_E 2.36e-009 # M 181940154786754268299573945149583416517604061659872027490935921008080643572013270006603707822036698581 type: gnfs rlim: 2300000 alim: 2300000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.6 alambda: 2.6 qintsize: 100000 Factor base limits: 2300000/2300000 Large primes per side: 3 Large prime bits: 26/26 Sieved special-q in [1150000, 1850001) Relations: rels:4244455, finalFF:387506 Initial matrix: 339265 x 387506 with sparse part having weight 25845178. Pruned matrix : 297185 x 298945 with weight 16264086. Polynomial selection time: 0.53 hours. Total sieving time: 20.03 hours. Total relation processing time: 0.37 hours. Matrix solve time: 3.34 hours. Time per square root: 0.36 hours. Prototype def-par.txt line would be: gnfs,102,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000 total time: 24.63 hours. --------- CPU info (if available) ----------

Mar 9, 2005 (2nd)

By Anton Korobeynikov / GGNFS-0.73.3 gnfs

(16·10¹⁶⁵-1)/3 = 5(3)₁₆₅_<166> = 1637 · 17117 · 149840881 · 570575225837_<12> · 573820343507_<12> · 291246838594215114094283_<24> · C104

C104 = P36 · P68

P36 = 653619205274968524868616118427326053_<36>

P68 = 20380611178573287976312015647987822383311736544689594437872385340837_<68>

g104-txt10.txt

Number: tst10 N=13321158881557212113006243293567722535201157909283058051019350331084579953951352850052701956160934926361 ( 104 digits) Divisors found: r1=653619205274968524868616118427326053 (pp36) r2=20380611178573287976312015647987822383311736544689594437872385340837 (pp68) Version: GGNFS-0.73.3 Total time: 17.29 hours. Scaled time: 8.96 units (timescale=0.518). Factorization parameters were as follows: name: tst10 n: 13321158881557212113006243293567722535201157909283058051019350331084579953951352850052701956160934926361 skew: 9360.50 # norm 5.35e+013 c5: 9720 c4: -12853983 c3: 2400940915468 c2: 6439504411332599 c1: -42409443419120407197 c0: -275094105548908552528725 # alpha -4.68 Y1: 49235910757 Y0: -67200922179056366834 # Murphy_E 2.10e-009 # M 597620193431088220020746547565731020388455700581350434006106472642732760144443332218538514070361374739 type: gnfs rlim: 2300000 alim: 2300000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.6 alambda: 2.6 qintsize: 100000 Factor base limits: 2300000/2300000 Large primes per side: 3 Large prime bits: 26/26 Sieved special-q in [1150000, 1950001) Relations: rels:4514371, finalFF:480340 Initial matrix: 339072 x 480340 with sparse part having weight 36216692. Pruned matrix : 232770 x 234529 with weight 16846946. Polynomial selection time: 0.34 hours. Total sieving time: 14.28 hours. Total relation processing time: 0.25 hours. Matrix solve time: 2.11 hours. Time per square root: 0.32 hours. Prototype def-par.txt line would be: gnfs,103,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000 total time: 17.29 hours. --------- CPU info (if available) ----------

(22·10¹²⁹-1)/3 = 7(3)₁₂₉_<130> = 73 · 4336235808554262751049831_<25> · C104

C104 = P46 · P59

P46 = 1373200605971678641691817043208338426465703737_<46>

P59 = 16870645045725472929771337510378875848143344845417196542243_<59>

g104-txt11.txt

Number: tst11 N=23166779999923317553568433348945167881066417631956526777041922234220712600776209094583024883304043462091 ( 104 digits) Divisors found: r1=1373200605971678641691817043208338426465703737 (pp46) r2=16870645045725472929771337510378875848143344845417196542243 (pp59) Version: GGNFS-0.73.3 Total time: 13.77 hours. Scaled time: 10.18 units (timescale=0.739). Factorization parameters were as follows: name: tst11 n: 23166779999923317553568433348945167881066417631956526777041922234220712600776209094583024883304043462091 skew: 6945.97 # norm 1.82e+014 c5: 27720 c4: 2302026982 c3: -4911615650809 c2: -46709066474712271 c1: 255552465194036432351 c0: -174912610517156248642493 # alpha -5.74 Y1: 25559817803 Y0: -60871143584961490890 # Murphy_E 2.14e-009 # M 11147291721675117166571508764119176650604827513426683980875891018606796210387218055733330472290664111502 type: gnfs rlim: 2300000 alim: 2300000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.6 alambda: 2.6 qintsize: 100000 Factor base limits: 2300000/2300000 Large primes per side: 3 Large prime bits: 26/26 Sieved special-q in [1150000, 1850001) Relations: rels:4208825, finalFF:379564 Initial matrix: 338759 x 379564 with sparse part having weight 27273976. Pruned matrix : 303336 x 305093 with weight 17792094. Polynomial selection time: 0.33 hours. Total sieving time: 10.27 hours. Total relation processing time: 0.22 hours. Matrix solve time: 2.72 hours. Time per square root: 0.23 hours. Prototype def-par.txt line would be: gnfs,103,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000 total time: 13.77 hours. --------- CPU info (if available) ----------

(88·10¹⁴⁶-7)/9 = 9(7)₁₄₆_<147> = 21611 · 66529 · 1337765116021_<13> · 11777955203653867647673_<23> · C104

C104 = P47 · P58

P47 = 12675175613354229967042679468815077442250108201_<47>

P58 = 3405262167951281370475643417365679548852242992304092731751_<58>

g104-txt12.txt

Number: tst12 N=43162295988293837704679159292252983779677004572765553560369213906919385879466371088014430739017418189951 ( 104 digits) Divisors found: r1=12675175613354229967042679468815077442250108201 (pp47) r2=3405262167951281370475643417365679548852242992304092731751 (pp58) Version: GGNFS-0.73.3 Total time: 21.30 hours. Scaled time: 11.01 units (timescale=0.517). Factorization parameters were as follows: name: tst12 n: 43162295988293837704679159292252983779677004572765553560369213906919385879466371088014430739017418189951 skew: 6517.84 # norm 3.20e+013 c5: 25920 c4: 339331756 c3: -3202205982342 c2: -20325133390574932 c1: 116508514384921766581 c0: -1194500798909215398577 # alpha -3.95 Y1: 40456266257 Y0: -69870403271172954240 # Murphy_E 2.01e-009 # M 10871755967235283420929109351602998379658292694244256895400637506615265618409337977667949419920899814104 type: gnfs rlim: 2300000 alim: 2300000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.6 alambda: 2.6 qintsize: 100000 Factor base limits: 2300000/2300000 Large primes per side: 3 Large prime bits: 26/26 Sieved special-q in [1150000, 1950001) Relations: rels:4460369, finalFF:458928 Initial matrix: 339091 x 458928 with sparse part having weight 35300619. Pruned matrix : 246714 x 248473 with weight 16826551. Polynomial selection time: 0.34 hours. Total sieving time: 17.19 hours. Total relation processing time: 0.28 hours. Matrix solve time: 3.17 hours. Time per square root: 0.33 hours. Prototype def-par.txt line would be: gnfs,103,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000 total time: 21.30 hours. --------- CPU info (if available) ----------

(4·10¹⁷⁴-7)/3 = 1(3)₁₇₃1_<175> = 4311403 · 28540933 · 196874317331_<12> · 101522202450367_<15> · 24950935249283898655923075518189_<32> · C104

C104 = P31 · P73

P31 = 5433803562669447433754621741383_<31>

P73 = 3998628817237532893833468093531381072846872384476726327356303764331799931_<73>

g104-txt13.txt

Number: tst13 N=21727763512898025038841411549682077097008058562638013646703068541951338964724050703419908030333979244573 ( 104 digits) Divisors found: r1=5433803562669447433754621741383 (pp31) r2=3998628817237532893833468093531381072846872384476726327356303764331799931 (pp73) Version: GGNFS-0.73.3 Total time: 23.31 hours. Scaled time: 13.57 units (timescale=0.582). Factorization parameters were as follows: name: tst13 n: 21727763512898025038841411549682077097008058562638013646703068541951338964724050703419908030333979244573 skew: 15373.62 # norm 8.92e+013 c5: 11280 c4: 106501846 c3: -9885901737791 c2: -17251730604017646 c1: 840938248897299386952 c0: 103846773220996085737344 # alpha -5.02 Y1: 21313177567 Y0: -71935115001791644645 # Murphy_E 2.12e-009 # M 1928452126023670314238469715381141513158708866729081070182144691351073193856983021027413711850983929270 type: gnfs rlim: 2300000 alim: 2300000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.6 alambda: 2.6 qintsize: 100000 Factor base limits: 2300000/2300000 Large primes per side: 3 Large prime bits: 26/26 Sieved special-q in [1150000, 2050001) Relations: rels:4638634, finalFF:514560 Initial matrix: 338308 x 514560 with sparse part having weight 42122549. Pruned matrix : 219977 x 221732 with weight 20101056. Polynomial selection time: 0.49 hours. Total sieving time: 19.36 hours. Total relation processing time: 0.30 hours. Matrix solve time: 2.85 hours. Time per square root: 0.30 hours. Prototype def-par.txt line would be: gnfs,103,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000 total time: 23.31 hours. --------- CPU info (if available) ----------

2·10¹⁵⁶-9 = 1(9)₁₅₅1_<157> = 7 · 17² · 4463 · 10284359 · 2849130261940733497_<19> · 16898555617138742719_<20> · C105

C105 = P45 · P60

P45 = 631855909108883008824359866689035739181056737_<45>

P60 = 708027384596563532504630820087246335731726729305545444147311_<60>

g105-txt14.txt

Number: tst14 N=447371286768246401071880617796062220413223181824469812955568436459675241721568191110195993870356876984207 ( 105 digits) Divisors found: r1=631855909108883008824359866689035739181056737 (pp45) r2=708027384596563532504630820087246335731726729305545444147311 (pp60) Version: GGNFS-0.73.3 Total time: 21.71 hours. Scaled time: 24.86 units (timescale=1.145). Factorization parameters were as follows: name: tst14 n: 447371286768246401071880617796062220413223181824469812955568436459675241721568191110195993870356876984207 skew: 8073.15 # norm 2.42e+014 c5: 9960 c4: 1232134322 c3: 14191699708939 c2: -87321003570212355 c1: -2541808958519480957 c0: 79214971144894372467515 # alpha -4.68 Y1: 69212290213 Y0: -135044296483623283304 # Murphy_E 1.73e-009 # M 189229690843273005009254191236634399343967916494144902314700188646425585902346524103545393295597259396409 type: gnfs rlim: 2500000 alim: 2500000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.6 alambda: 2.6 qintsize: 150000 Factor base limits: 2500000/2500000 Large primes per side: 3 Large prime bits: 26/26 Sieved special-q in [1250000, 2300001) Relations: rels:4541963, finalFF:480697 Initial matrix: 365856 x 480697 with sparse part having weight 37418031. Pruned matrix : 278621 x 280514 with weight 19421622. Polynomial selection time: 0.34 hours. Total sieving time: 19.40 hours. Total relation processing time: 0.26 hours. Matrix solve time: 1.50 hours. Time per square root: 0.21 hours. Prototype def-par.txt line would be: gnfs,104,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000 total time: 21.71 hours. --------- CPU info (if available) ----------

(65·10¹⁷⁸+43)/9 = 7(2)₁₇₇7_<179> = 47 · 113 · 526853 · 117345719 · 331998677 · 125870285644374589_<18> · 34925085627768598997827271895379_<32> · C105

C105 = P52 · P54

P52 = 1361124300359348959136021102791572885773046603028627_<52>

P54 = 110724314477726693312993373871940590187185882490090599_<54>

g105-txt15.txt

Number: tst15 N=150709555076264278185583346205721159950525735347533468788839353587238178965623321225618403977229020577573 ( 105 digits) Divisors found: r1=1361124300359348959136021102791572885773046603028627 (pp52) r2=110724314477726693312993373871940590187185882490090599 (pp54) Version: GGNFS-0.73.3 Total time: 19.62 hours. Scaled time: 20.34 units (timescale=1.037). Factorization parameters were as follows: name: tst15 n: 150709555076264278185583346205721159950525735347533468788839353587238178965623321225618403977229020577573 skew: 24915.55 # norm 7.45e+014 c5: 24720 c4: -1558584595 c3: -37082585815687 c2: 874627651005103044 c1: 10739021767551435216331 c0: -91970556801552759673702805 # alpha -6.26 Y1: 69458956159 Y0: -90577986845836135728 # Murphy_E 1.81e-009 # M 51991282551177648959146464684112917066237266962419059325726985132800569995398098119899560708733699537541 type: gnfs rlim: 2500000 alim: 2500000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.6 alambda: 2.6 qintsize: 150000 Factor base limits: 2500000/2500000 Large primes per side: 3 Large prime bits: 26/26 Sieved special-q in [1250000, 2150001) Relations: rels:4438301, finalFF:470369 Initial matrix: 366330 x 470369 with sparse part having weight 34134616. Pruned matrix : 280807 x 282702 with weight 17092299. Polynomial selection time: 0.40 hours. Total sieving time: 17.12 hours. Total relation processing time: 0.27 hours. Matrix solve time: 1.56 hours. Time per square root: 0.26 hours. Prototype def-par.txt line would be: gnfs,104,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000 total time: 19.62 hours. --------- CPU info (if available) ----------

(65·10¹⁸⁶+43)/9 = 7(2)₁₈₅7_<187> = 3 · 89 · 4679 · 597347347464359_<15> · 1063097615099489_<16> · 48686557186389825347_<20> · 14690759029212971209960298983_<29> · C104

C104 = P34 · P35 · P36

P34 = 1124633931670423999054999206157751_<34>

P35 = 32451381886148128381123221457383757_<35>

P36 = 348745633990314969496632087311117327_<36>

g104-txt16.txt

Number: tst16 N=12727794571503673891861633135672096636151861671189328309590168102650816980079545459487050908766251834789 ( 104 digits) Divisors found: r1=1124633931670423999054999206157751 (pp34) r2=32451381886148128381123221457383757 (pp35) r3=348745633990314969496632087311117327 (pp36) Version: GGNFS-0.73.3 Total time: 16.99 hours. Scaled time: 16.26 units (timescale=0.957). Factorization parameters were as follows: name: tst16 n: 12727794571503673891861633135672096636151861671189328309590168102650816980079545459487050908766251834789 skew: 31036.00 # norm 1.24e+014 c5: 1140 c4: 75557088 c3: -497906155773 c2: -193963663381168716 c1: -678499351755531281228 c0: 5871934233649880221303536 # alpha -5.35 Y1: 42602978561 Y0: -102227387462656229179 # Murphy_E 2.18e-009 # M 9076640123506306299968192141312951403353469742100097605960398372449287670946988308701383322617162117840 type: gnfs rlim: 2300000 alim: 2300000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.6 alambda: 2.6 qintsize: 100000 Factor base limits: 2300000/2300000 Large primes per side: 3 Large prime bits: 26/26 Sieved special-q in [1150000, 1950001) Relations: rels:4564184, finalFF:500070 Initial matrix: 339344 x 500070 with sparse part having weight 38863483. Pruned matrix : 222260 x 224020 with weight 17991869. Polynomial selection time: 0.40 hours. Total sieving time: 14.88 hours. Total relation processing time: 0.26 hours. Matrix solve time: 1.20 hours. Time per square root: 0.26 hours. Prototype def-par.txt line would be: gnfs,103,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000 total time: 16.99 hours. --------- CPU info (if available) ----------

(82·10¹⁶⁷+71)/9 = 9(1)₁₆₆9_<168> = 11 · 200825371 · 1571015867_<10> · 3713253344557_<13> · 42910403846071_<14> · 2216613591002943259_<19> · C105

C105 = P52 · P54

P52 = 1682819432281580871833056739932306964665025847853247_<52>

P54 = 441707542869306545094246476909647448630652029924438387_<54>

g105-txt17.txt

Number: tst17 N=743314036525818485465758864540946967091482328434007924450180279648702048120644607953554004890926069392589 ( 105 digits) Divisors found: r1=1682819432281580871833056739932306964665025847853247 (pp52) r2=441707542869306545094246476909647448630652029924438387 (pp54) Version: GGNFS-0.73.3 Total time: 26.54 hours. Scaled time: 17.62 units (timescale=0.664). Factorization parameters were as follows: name: tst17 n: 743314036525818485465758864540946967091482328434007924450180279648702048120644607953554004890926069392589 skew: 16695.17 # norm 1.05e+014 c5: 5880 c4: -224015472 c3: -9598370894668 c2: 87067985484330713 c1: 1116861167392866702696 c0: -29733050649987776304813 # alpha -4.78 Y1: 20773333999 Y0: -166096092457942086244 # Murphy_E 1.74e-009 # M 147703381191201278260450574623191624817193133363973293527931668145367955020987659391197184909537922129556 type: gnfs rlim: 2500000 alim: 2500000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.6 alambda: 2.6 qintsize: 150000 Factor base limits: 2500000/2500000 Large primes per side: 3 Large prime bits: 26/26 Sieved special-q in [1250000, 2300001) Relations: rels:4771155, finalFF:579409 Initial matrix: 366490 x 579409 with sparse part having weight 46366018. Pruned matrix : 227384 x 229280 with weight 22864580. Polynomial selection time: 0.34 hours. Total sieving time: 22.88 hours. Total relation processing time: 0.29 hours. Matrix solve time: 2.77 hours. Time per square root: 0.25 hours. Prototype def-par.txt line would be: gnfs,104,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000 total time: 26.54 hours. --------- CPU info (if available) ----------

(89·10¹⁷⁵+1)/9 = 9(8)₁₇₄9_<176> = 3 · 11 · 2377 · 83045563 · 21545311091948629_<17> · 127739194355601203_<18> · 141537670211263258844233207_<27> · C104

C104 = P43 · P61

P43 = 5050043729825650103372047299253484119274219_<43>

P61 = 7716916809971581744577104286439612898464992845500606623694673_<61>

g104-txt18.txt

Number: tst18 N=38970767349783144219279011210910131816536940309633342017981904856586050373395627747411366558141016535387 ( 104 digits) Divisors found: r1=5050043729825650103372047299253484119274219 (pp43) r2=7716916809971581744577104286439612898464992845500606623694673 (pp61) Version: GGNFS-0.73.3 Total time: 18.27 hours. Scaled time: 11.00 units (timescale=0.602). Factorization parameters were as follows: name: tst18 n: 38970767349783144219279011210910131816536940309633342017981904856586050373395627747411366558141016535387 skew: 11898.61 # norm 2.27e+014 c5: 68700 c4: 14618392 c3: -30179894862905 c2: 16731904789110859 c1: 1882529550723697681341 c0: -4667983394844676171879240 # alpha -5.99 Y1: 89823894721 Y0: -56332161366618108841 # Murphy_E 2.14e-009 # M 32392579114107586302924597247122733762013296032570068090664578298869321195074788684491700241350536047136 type: gnfs rlim: 2300000 alim: 2300000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.6 alambda: 2.6 qintsize: 100000 Factor base limits: 2300000/2300000 Large primes per side: 3 Large prime bits: 26/26 Sieved special-q in [1150000, 1950001) Relations: rels:4676835, finalFF:550232 Initial matrix: 339519 x 550232 with sparse part having weight 43252997. Pruned matrix : 200810 x 202571 with weight 19700035. Polynomial selection time: 0.33 hours. Total sieving time: 15.11 hours. Total relation processing time: 0.31 hours. Matrix solve time: 2.26 hours. Time per square root: 0.24 hours. Prototype def-par.txt line would be: gnfs,103,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000 total time: 18.27 hours. --------- CPU info (if available) ----------

Mar 9, 2005

By Makoto Kamada / GMP-ECM 5.0.3

(2·10¹⁹³+7)/9 = (2)₁₉₂3_<193> = 3² · 630546718286548631_<18> · C174

C174 = P32 · C142

P32 = 50130048165294171737936457060407_<32>

C142 = [7811412730645934022108042743488628291363712137770808704266782375432812085300436524323222547951684716165173360263400908685004188370503667406791_<142>]

(71·10¹⁹²-17)/9 = 7(8)₁₉₁7_<193> = 3 · 239 · 431 · 709 · 17863 · C181

C181 = P28 · P153

P28 = 7818138441482479473279933503_<28>

P153 = 257819299158319774527379208460787909625521352652374818131852684022564137467590536682267201066985701426877107876857793199288896531178496788480608797398081_<153>

Mar 8, 2005 (2nd)

By Makoto Kamada / GMP-ECM 5.0.3

(65·10¹⁵⁵+43)/9 = 7(2)₁₅₄7_<156> = 11 · 17² · 73 · 593 · 821 · 156901 · 3000409 · 113165188094798731_<18> · C117

C117 = P28 · P89

P28 = 1252506284919674597813442361_<28>

P89 = 95798933501408006480896098368296296789086081254720058955016936449717404248170381274091483_<89>

Mar 8, 2005

By Wataru Sakai / GMP-ECM 6.0

5·10¹⁶⁰-1 = 4(9)₁₆₀_<161> = 19 · 436091 · 2329189 · C148

C148 = P31 · C118

P31 = 1033904918067164428884577564259_<31>

C118 = [2505843522411995360881620202892235691372910031817756477061988171397055319833605473171594643548876245306856441524893681_<118>]

5·10¹⁸⁴-1 = 4(9)₁₈₄_<185> = 151 · 1811 · 26149492819353460891_<20> · C160

C160 = P29 · P132

P29 = 19904026613441188764553765519_<29>

P132 = 351293725658528142025984363908540515455299471247490008661682391281288234075835346606964794661872221262643846492958379267355968427671_<132>

Mar 7, 2005 (4th)

By Makoto Kamada / GMP-ECM 5.0.3

6·10¹⁶⁴-1 = 5(9)₁₆₄_<165> = 87666097 · 3885289277_<10> · 44109614707809518761_<20> · C128

C128 = P26 · C103

P26 = 21319013138093007519677927_<26>

C103 = [1873250502227872709541004285088419337811749274035337630228939600334926817394525071335252733658083814693_<103>]

6·10¹⁸¹-1 = 5(9)₁₈₁_<182> = 131 · 487 · 18181 · 674898763500069035186759_<24> · 48674443951736616443332178819393_<32> · C118

C118 = P26 · C92

P26 = 19628097687242489745811747_<26>

C92 = [80226045327418205244076379505715520076927907989546678856020648136216222939800049752462085963_<92>]

Mar 7, 2005 (3rd)

By Sinkiti Sibata / GGNFS-0.73.2

(37·10¹⁴¹-1)/9 = 4(1)₁₄₁_<142> = 41 · 216233 · 1112567 · C129

C129 = P56 · P73

P56 = 80520929319029738083314522944251454230697132157081673439_<56>

P73 = 5176287996651081326900655124980948714131602617681184562521461159655087999_<73>

Number: i41106
N=416799519913283761111992759572925364202800687164723851504727045200610075040756960021756345510153638400207696886981642933725958561
  ( 129 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=80520929319029738083314522944251454230697132157081673439 (pp56)
 r2=5176287996651081326900655124980948714131602617681184562521461159655087999 (pp73)
Version: GGNFS-0.73.2
Total time: 63.56 hours.
Scaled time: 25.17 units (timescale=0.396).
Factorization parameters were as follows:
name: i41106
n: 416799519913283761111992759572925364202800687164723851504727045200610075040756960021756345510153638400207696886981642933725958561
m: 10000000000000000000000000000
c5: 370
c0: -1
skew: 4
qintsize: 400000
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [650000, 3050001)
Relations: rels:4067830, finalFF:352010
Initial matrix: 200246 x 352010 with sparse part having weight 45151016.
Pruned matrix : 169386 x 170451 with weight 22139672.
Total sieving time: 56.87 hours.
Total relation processing time: 0.57 hours.
Matrix solve time: 5.92 hours.
Time per square root: 0.20 hours.
Prototype def-par.txt line would be:
snfs,142,5,0,0,0,0,0,0,0,0,1300000,1300000,27,27,45,45,2.3,2.3,100000
total time: 63.56 hours.
 --------- CPU info (if available) ----------

Mar 7, 2005 (2nd)

By Anton Korobeynikov / GGNFS-0.73.3 gnfs

(4·10¹⁵⁹-1)/3 = 1(3)₁₅₉_<160> = 13654124849_<11> · 20681657381440225832119_<23> · 1378158864711508887427489_<25> · C103

C103 = P39 · P64

P39 = 920534390807374062804498487893860309959_<39>

P64 = 3721775962844066011328396101615639616120103881060502639336722693_<64>

g103-txt103.txt

Number: tst103 N=3426022768678190350827455977629243143778909748440008571943370183026081213316908814886926023536209199587 ( 103 digits) Divisors found: r1=920534390807374062804498487893860309959 (pp39) r2=3721775962844066011328396101615639616120103881060502639336722693 (pp64) Version: GGNFS-0.73.3 Total time: 22.33 hours. Scaled time: 21.91 units (timescale=0.981). Factorization parameters were as follows: name: tst103 n: 3426022768678190350827455977629243143778909748440008571943370183026081213316908814886926023536209199587 skew: 17023.64 # norm 4.87e+014 c5: 52920 c4: 6165642 c3: -16608658070317 c2: 266642519690878870 c1: 195316181231626051504 c0: -24314966529899992889968480 # alpha -6.84 Y1: 38730456193 Y0: -36495059089968903561 # Murphy_E 2.34e-009 # M 966685426102932179599118835187465301371204837991663581505058847363854074683668823396725603950848290052 type: gnfs rlim: 2300000 alim: 2300000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.6 alambda: 2.6 qintsize: 100000 Factor base limits: 2300000/2300000 Large primes per side: 3 Large prime bits: 26/26 Sieved special-q in [1150000, 1950001) Relations: rels:4690758, finalFF:540439 Initial matrix: 338908 x 540439 with sparse part having weight 40473351. Pruned matrix : 201001 x 202759 with weight 19235860. Polynomial selection time: 0.34 hours. Total sieving time: 18.71 hours. Total relation processing time: 0.38 hours. Matrix solve time: 2.55 hours. Time per square root: 0.36 hours. Prototype def-par.txt line would be: gnfs,102,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000 total time: 22.33 hours. --------- CPU info (if available) ----------

Mar 7, 2005

By Makoto Kamada / GMP-ECM 5.0.3

(5·10¹⁵⁷+31)/9 = (5)₁₅₆9_<157> = 3 · 71 · C155

C155 = P27 · P128

P27 = 806044437167993248314469871_<27>

P128 = 32358539115110369057190134942109756781102364683868818614997860163981009807276444234313515961034697099525668878416848400086460133_<128>

Mar 6, 2005 (5th)

By Anton Korobeynikov / GGNFS-0.73.3 gnfs

(25·10¹⁴⁸-7)/9 = 2(7)₁₄₈_<149> = 3 · 2063 · 5087 · 4472453817889_<13> · 814646496537188975783443_<24> · C105

C105 = P44 · P61

P44 = 83573765379175276887059352875495061992721893_<44>

P61 = 2897545406943469556039609839062818705364453173845610075942549_<61>

g105-txt7.txt

Number: tst7 N=242158780015400474931725822301077459069616366971812199750524389487571889001607512837656693580050002525257 ( 105 digits) Divisors found: r1=83573765379175276887059352875495061992721893 (pp44) r2=2897545406943469556039609839062818705364453173845610075942549 (pp61) Version: GGNFS-0.73.3 Total time: 23.00 hours. Scaled time: 14.14 units (timescale=0.615). Factorization parameters were as follows: name: tst7 n: 242158780015400474931725822301077459069616366971812199750524389487571889001607512837656693580050002525257 skew: 13895.94 # norm 1.14e+015 c5: 28440 c4: 246147270 c3: -75626629719937 c2: 5889953208023132 c1: 2287073438775486754172 c0: 264920159409124975296288 # alpha -6.29 Y1: 64862852263 Y0: -96835282115007033881 # Murphy_E 1.87e-009 # M 152852279187948072532157549362216434410321086193866326084155930548988772659281836501276048184171571227642 type: gnfs rlim: 2500000 alim: 2500000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.6 alambda: 2.6 qintsize: 150000 Factor base limits: 2500000/2500000 Large primes per side: 3 Large prime bits: 26/26 Sieved special-q in [1250000, 2150001) Relations: rels:4437918, finalFF:462481 Initial matrix: 366561 x 462481 with sparse part having weight 33332826. Pruned matrix : 288536 x 290432 with weight 17178555. Total sieving time: 18.85 hours. Total relation processing time: 0.30 hours. Matrix solve time: 3.57 hours. Time per square root: 0.28 hours. Prototype def-par.txt line would be: gnfs,104,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000 total time: 23.00 hours. --------- CPU info (if available) ----------

(28·10¹⁴³-1)/9 = 3(1)₁₄₃_<144> = 263 · 5456111 · 138052796555701_<15> · 107253664497452549_<18> · C104

C104 = P51 · P54

P51 = 116573850967584096912312262096761599241450013841771_<51>

P54 = 125608226798127591346038863148280844795094728289902213_<54>

g104-txt8.txt

Number: tst8 N=14642634711067428805657618020195508667599612779061894626580767108488831741255399169358628624898044739223 ( 104 digits) Divisors found: r1=116573850967584096912312262096761599241450013841771 (pp51) r2=125608226798127591346038863148280844795094728289902213 (pp54) Version: GGNFS-0.73.3 Total time: 19.75 hours. Scaled time: 10.25 units (timescale=0.519). Factorization parameters were as follows: name: tst8 n: 14642634711067428805657618020195508667599612779061894626580767108488831741255399169358628624898044739223 skew: 8467.70 # norm 6.20e+013 c5: 4800 c4: 433087900 c3: 2362267470166 c2: -39532803605580420 c1: 33756896069193680227 c0: -440752189079185721087 # alpha -4.31 Y1: 74266854343 Y0: -78862078298841476368 # Murphy_E 2.16e-009 # M 11059754084937463791141973226994484689528997380046730917731645639000015584527751397237190352794228587203 type: gnfs rlim: 2300000 alim: 2300000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.6 alambda: 2.6 qintsize: 100000 Factor base limits: 2300000/2300000 Large primes per side: 3 Large prime bits: 26/26 Sieved special-q in [1150000, 2050001) Relations: rels:4700640, finalFF:537694 Initial matrix: 338228 x 537694 with sparse part having weight 43413482. Pruned matrix : 211748 x 213503 with weight 20601233. Polynomial selection time: 0.64 hours. Total sieving time: 16.42 hours. Total relation processing time: 0.26 hours. Matrix solve time: 2.16 hours. Time per square root: 0.27 hours. Prototype def-par.txt line would be: gnfs,103,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000 total time: 19.75 hours. --------- CPU info (if available) ----------

(46·10¹³⁵-1)/9 = 5(1)₁₃₅_<136> = 479 · 46154078138132146557551248199_<29> · C105

C105 = P45 · P60

P45 = 800394453408549832239262068734721199293735929_<45>

P60 = 288845534263833811587767580457198086177435867548252143643479_<60>

g105-txt9.txt

Number: tst9 N=231190363516601815875245621524025323063245909981915517274853408346607442950108028978835915150679748856991 ( 105 digits) Divisors found: r1=800394453408549832239262068734721199293735929 (pp45) r2=288845534263833811587767580457198086177435867548252143643479 (pp60) Version: GGNFS-0.73.3 Total time: 16.28 hours. Scaled time: 12.00 units (timescale=0.737). Factorization parameters were as follows: name: tst9 n: 231190363516601815875245621524025323063245909981915517274853408346607442950108028978835915150679748856991 skew: 30082.61 # norm 3.11e+014 c5: 6000 c4: 443509874 c3: -8045047009331 c2: -338231354695496094 c1: 1367017699233057238656 c0: 70700699093178744173027070 # alpha -5.99 Y1: 9911671649 Y0: -130967401122647069617 # Murphy_E 1.93e-009 # M 146812754679712366128465595838378193813546777170542343779977233639701786155252713408144553944962286463838 type: gnfs rlim: 2500000 alim: 2500000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.6 alambda: 2.6 qintsize: 150000 Factor base limits: 2500000/2500000 Large primes per side: 3 Large prime bits: 26/26 Sieved special-q in [1250000, 2150001) Relations: rels:4647969, finalFF:548836 Initial matrix: 365925 x 548836 with sparse part having weight 41980524. Pruned matrix : 230998 x 232891 with weight 19519865. Polynomial selection time: 0.42 hours. Total sieving time: 13.26 hours. Total relation processing time: 0.21 hours. Matrix solve time: 2.15 hours. Time per square root: 0.24 hours. Prototype def-par.txt line would be: gnfs,104,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000 total time: 16.28 hours. --------- CPU info (if available) ----------

(5·10¹⁷²-41)/9 = (5)₁₇₁1_<172> = 7 · 13 · 954513207839060627_<18> · 8236053748281096526631_<22> · 3651013866892899909803503_<25> · C106

C106 = P42 · P64

P42 = 416124302418408191713303582379082748228297_<42>

P64 = 5111500712230303356383768828877368479955931032043267087034557583_<64>

(5·10¹⁶³-23)/9 = (5)₁₆₂3_<163> = 3 · 373 · 27693971 · 145541773288441003077647_<24> · 159421612635339560825237_<24> · C106

C106 = P53 · P54

P53 = 23614895381032335625778855960284172255052544499396189_<53>

P54 = 327183421237265970964513549806824654637662445958875307_<54>

Mar 6, 2005 (3rd)

By Makoto Kamada / GMP-ECM 5.0.3

(10¹⁹³-7)/3 = (3)₁₉₂1_<193> = C193

C193 = P34 · P159

P34 = 9359125546226130317691742746322477_<34>

P159 = 356158630084562717454079473284150163932602601557130675275039536816637254066334649526724690725716914178221930943836968641215915704974932383534004679032217016703_<159>

Mar 6, 2005 (2nd)

By Anton Korobeynikov / GGNFS-0.73.3 gnfs / Mar 5, 2005

(7·10¹⁴¹+11)/9 = (7)₁₄₀9_<141> = 12401 · 331568234726854059523323014000309_<33> · C105

C105 = P39 · P66

P39 = 235821868941621471319883328334247434687_<39>

P66 = 802124587662582464669201505848575481305773995283966819192698813513_<66>

g105-txt6.txt

Number: tst6 N=189158519386617684939030736058485751071489885862088360390732938094472285653661252807576546000948860525431 ( 105 digits) Divisors found: r1=235821868941621471319883328334247434687 (pp39) r2=802124587662582464669201505848575481305773995283966819192698813513 (pp66) Version: GGNFS-0.73.3 Total time: 18.40 hours. Scaled time: 13.51 units (timescale=0.734). Factorization parameters were as follows: name: tst6 n: 189158519386617684939030736058485751071489885862088360390732938094472285653661252807576546000948860525431 skew: 8464.98 # norm 3.30e+014 c5: 66780 c4: 1903330268 c3: 5251068222353 c2: -244118297612954025 c1: 132921975139442807041 c0: -70995238482667059717254 # alpha -5.53 Y1: 114497619137 Y0: -77702009478358272507 # Murphy_E 1.78e-009 # M 147753397502764680301556139869674664036745452361503483495320920341991839684508176503970921729977936822252 type: gnfs rlim: 2500000 alim: 2500000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.6 alambda: 2.6 qintsize: 150000 Factor base limits: 2500000/2500000 Large primes per side: 3 Large prime bits: 26/26 Sieved special-q in [1250000, 2300001) Relations: rels:4938343, finalFF:664935 Initial matrix: 366524 x 664935 with sparse part having weight 54554501. Pruned matrix : 202565 x 204461 with weight 27012602. Polynomial selection time: 0.36 hours. Total sieving time: 15.17 hours. Total relation processing time: 0.27 hours. Matrix solve time: 2.39 hours. Time per square root: 0.22 hours. Prototype def-par.txt line would be: gnfs,104,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000 total time: 18.40 hours. --------- CPU info (if available) ----------

(2·10¹⁵⁴+61)/9 = (2)₁₅₃9_<154> = 3² · 1092127 · 2117287 · 2236090637779_<13> · 8378424748292198779218439_<25> · C103

C103 = P51 · P53

P51 = 189741013588044854229215065788408599919554967046681_<51>

P53 = 30038559961350341394432475821473119796198099348924729_<53>

g103-txt103.txt

Number: tst103 N=5699546813791875237803248168333493552922526120494808314225629485991029441393119424814195136786098274449 ( 103 digits) Divisors found: r1=189741013588044854229215065788408599919554967046681 (pp51) r2=30038559961350341394432475821473119796198099348924729 (pp53) Version: GGNFS-0.73.3 Total time: 17.05 hours. Scaled time: 12.09 units (timescale=0.709). Factorization parameters were as follows: name: tst103 n: 5699546813791875237803248168333493552922526120494808314225629485991029441393119424814195136786098274449 skew: 10585.85 # norm 5.19e+014 c5: 115200 c4: 2899606608 c3: -13883504792510 c2: -178735723201239249 c1: 1433329270944155522220 c0: -3634884653440529927958017 # alpha -7.06 Y1: 38473560367 Y0: -34583993198760536032 # Murphy_E 2.56e-009 # M 46889654897437425040832346961405608577953154459928986429865827002270825483136705534919173542108190467 type: gnfs rlim: 2300000 alim: 2300000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.6 alambda: 2.6 qintsize: 100000 Factor base limits: 2300000/2300000 Large primes per side: 3 Large prime bits: 26/26 Sieved special-q in [1150000, 1750001) Relations: rels:4258092, finalFF:408155 Initial matrix: 339213 x 408155 with sparse part having weight 26537751. Pruned matrix : 279723 x 281483 with weight 14375853. Polynomial selection time: 0.33 hours. Total sieving time: 13.61 hours. Total relation processing time: 0.28 hours. Matrix solve time: 2.53 hours. Time per square root: 0.30 hours. Prototype def-par.txt line would be: gnfs,102,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000 total time: 17.05 hours. --------- CPU info (if available) ----------

Mar 5, 2005 (2nd)

By Anton Korobeynikov / GGNFS-0.73.3 gnfs

(2·10¹⁶⁸-11)/9 = (2)₁₆₇1_<168> = 197 · 474369113 · 5575500037_<10> · 1555302784493_<13> · 4113790312911686726221727300257_<31> · C104

C104 = P31 · P74

P31 = 1081715269133179811208872005879_<31>

P74 = 61624154347874880308475566998218502389129151357945858275948542932460478007_<74>

g104-txt1.txt

Number: tst1 N=66659788705516088973181816475773572954522890085369141618393936749895295735858685972632285539213254203153 ( 104 digits) Divisors found: r1=1081715269133179811208872005879 (pp31) r2=61624154347874880308475566998218502389129151357945858275948542932460478007 (pp74) Version: GGNFS-0.73.3 Total time: 20.91 hours. Scaled time: 11.94 units (timescale=0.571). Factorization parameters were as follows: name: tst1 n: 66659788705516088973181816475773572954522890085369141618393936749895295735858685972632285539213254203153 skew: 11930.21 # norm 3.87e+014 c5: 84240 c4: 1886375776 c3: -16845199648387 c2: -203102909614999014 c1: -106505710716430541016 c0: 5278783559876489207869632 # alpha -6.32 Y1: 35153091407 Y0: -60209910180302802559 # Murphy_E 2.05e-009 # M 63182163686311894007070501081079383410553942016477429161692774302925140380973821974134431802686890894308 type: gnfs rlim: 2300000 alim: 2300000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.6 alambda: 2.6 qintsize: 100000 Factor base limits: 2300000/2300000 Large primes per side: 3 Large prime bits: 26/26 Sieved special-q in [1150000, 1950001) Relations: rels:4353320, finalFF:417371 Initial matrix: 338606 x 417371 with sparse part having weight 30593641. Pruned matrix : 275678 x 277435 with weight 16443663. Polynomial selection time: 0.33 hours. Total sieving time: 16.19 hours. Total relation processing time: 0.29 hours. Matrix solve time: 3.76 hours. Time per square root: 0.33 hours. Prototype def-par.txt line would be: gnfs,103,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000 total time: 20.91 hours. --------- CPU info (if available) ----------

(4·10¹⁵²+23)/9 = (4)₁₅₁7_<152> = 594453599347_<12> · 18888841427341_<14> · 192426221843740554519959_<24> · C104

C104 = P40 · P64

P40 = 6545315710328438844985500344313439462073_<40>

P64 = 3142674111334242877001354822741675047074385195768806298906117223_<64>

g104-txt3.txt

Number: tst3 N=20569794233358485219085017859497738858937796889491766392846563004688745135470925000973292142706200583279 ( 104 digits) Divisors found: r1=6545315710328438844985500344313439462073 (pp40) r2=3142674111334242877001354822741675047074385195768806298906117223 (pp64) Version: GGNFS-0.73.3 Total time: 17.56 hours. Scaled time: 11.55 units (timescale=0.658). Factorization parameters were as follows: name: tst3 n: 20569794233358485219085017859497738858937796889491766392846563004688745135470925000973292142706200583279 skew: 13553.36 # norm 3.56e+014 c5: 14400 c4: 392263472 c3: -25505813099248 c2: -51600755067920791 c1: 852108725348506076340 c0: 1955916760247916980252508 # alpha -5.78 Y1: 35323391207 Y0: -67759822185003247063 # Murphy_E 2.19e-009 # M 16060208013275248920667379185833803131088293918446283350625966601909651951007287730702806212941276000959 type: gnfs rlim: 2300000 alim: 2300000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.6 alambda: 2.6 qintsize: 100000 Factor base limits: 2300000/2300000 Large primes per side: 3 Large prime bits: 26/26 Sieved special-q in [1150000, 1950001) Relations: rels:4537400, finalFF:488726 Initial matrix: 339685 x 488726 with sparse part having weight 37442572. Pruned matrix : 228866 x 230628 with weight 17409080. Polynomial selection time: 0.34 hours. Total sieving time: 14.22 hours. Total relation processing time: 0.26 hours. Matrix solve time: 2.47 hours. Time per square root: 0.26 hours. Prototype def-par.txt line would be: gnfs,103,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000 total time: 17.56 hours. --------- CPU info (if available) ----------

(7·10¹⁴⁰-61)/9 = (7)₁₃₉1_<140> = 22147 · 64906423 · 86221212023_<11> · 24961758965431_<14> · C104

C104 = P37 · P68

P37 = 2003302500130298868226356248917542599_<37>

P68 = 12549230818382139308998785858920898115685359162580736027576781738793_<68>

g104-txt5.txt

Number: tst5 N=25139905473177136205812043366371130852937092830152632170037869703332779842711296514707835517331868343007 ( 104 digits) Divisors found: r1=2003302500130298868226356248917542599 (pp37) r2=12549230818382139308998785858920898115685359162580736027576781738793 (pp68) Version: GGNFS-0.73.3 Total time: 21.16 hours. Scaled time: 10.96 units (timescale=0.518). Factorization parameters were as follows: name: tst5 n: 25139905473177136205812043366371130852937092830152632170037869703332779842711296514707835517331868343007 skew: 10479.36 # norm 1.82e+014 c5: 6840 c4: -680611094 c3: 5546863674215 c2: -12597354741878940 c1: -295514433829504124308 c0: -444443820682519806033840 # alpha -4.90 Y1: 24918975719 Y0: -81858567203678668199 # Murphy_E 1.95e-009 # M 19542462915000150783589088270322991184791261062061002681611746796372824198324710765168329279018129142306 type: gnfs rlim: 2300000 alim: 2300000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.6 alambda: 2.6 qintsize: 100000 Factor base limits: 2300000/2300000 Large primes per side: 3 Large prime bits: 26/26 Sieved special-q in [1150000, 2150001) Relations: rels:4677185, finalFF:517567 Initial matrix: 339133 x 517567 with sparse part having weight 43508793. Pruned matrix : 226084 x 227843 with weight 21417625. Polynomial selection time: 0.33 hours. Total sieving time: 17.74 hours. Total relation processing time: 0.28 hours. Matrix solve time: 2.46 hours. Time per square root: 0.34 hours. Prototype def-par.txt line would be: gnfs,103,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000 total time: 21.16 hours. --------- CPU info (if available) ----------

Mar 5, 2005

By Makoto Kamada / GMP-ECM 5.0.3

(4·10¹⁹⁴-31)/9 = (4)₁₉₃1_<194> = 157 · 983 · 107612863 · 18342123221_<11> · 6108145067228494618057_<22> · C149

C149 = P29 · C121

P29 = 12278415751815556076259294677_<29>

C121 = [1945354892719909032469519211430933960795133491235455463027180385182694763080674571701028274277355295183095114770189469413_<121>]

Mar 4, 2005 (4th)

By Anton Korobeynikov / GGNFS-0.73.3 gnfs

(29·10¹⁹¹+7)/9 = 3(2)₁₉₀3_<192> = 11 · 31 · 7621 · 1305526508941_<13> · 64708099336789218589_<20> · 1282613339103566661361_<22> · 222898262021082856624877730161_<30> · C103

C103 = P50 · P53

P50 = 64183256638154439897131828580656573780507460234143_<50>

P53 = 79987224233686321759605424379032894033388154744897169_<53>

g103-txt103.txt

Number: tst103 N=5133840540764295292969509716240618314660951257381381577601383419479309668789454150628077053815197841167 ( 103 digits) Divisors found: r1=64183256638154439897131828580656573780507460234143 (pp50) r2=79987224233686321759605424379032894033388154744897169 (pp53) Version: GGNFS-0.73.3 Total time: 16.28 hours. Scaled time: 6.35 units (timescale=0.390). Factorization parameters were as follows: name: tst103 n: 5133840540764295292969509716240618314660951257381381577601383419479309668789454150628077053815197841167 skew: 11036.53 # norm 3.59e+014 c5: 98640 c4: -1877755368 c3: -30662787323258 c2: 111309524814451877 c1: 1980794210468084173122 c0: 1261572630828128016914295 # alpha -6.79 Y1: 64030589249 Y0: -34936620543380000644 # Murphy_E 2.43e-009 # M 4544758641991608170462680114140430824262657414132696077470535260793908072223586646834868681729092720458 type: gnfs rlim: 2300000 alim: 2300000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.6 alambda: 2.6 qintsize: 100000 Factor base limits: 2300000/2300000 Large primes per side: 3 Large prime bits: 26/26 Sieved special-q in [1150000, 1850001) Relations: rels:4575792, finalFF:513682 Initial matrix: 339798 x 513682 with sparse part having weight 36084936. Pruned matrix : 208246 x 210008 with weight 16248328. Total sieving time: 12.96 hours. Total relation processing time: 0.31 hours. Matrix solve time: 2.72 hours. Time per square root: 0.28 hours. Prototype def-par.txt line would be: gnfs,102,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000 total time: 16.28 hours. --------- CPU info (if available) ----------

Mar 4, 2005 (3rd)

By Makoto Kamada / GMP-ECM 5.0.3

(83·10¹⁹⁶+61)/9 = 9(2)₁₉₅9_<197> = 3 · 43 · C195

C195 = P28 · C167

P28 = 9602680715082187094465082913_<28>

C167 = [74448059731513037633347877449878484897152077682858910267765114335079739104079046595764642937173560405105673848075329403547794104913109914751267841907174119729688796277_<167>]

(34·10¹⁶⁶-43)/9 = 3(7)₁₆₅3_<167> = 3³ · C166

C166 = P27 · C139

P27 = 334306839006823133579471153_<27>

C139 = [4185307602109669599745978404228511467728247039894128424668313195039453889478502106172203101100408661479665808460232673514121448291349526983_<139>]

Mar 4, 2005 (2nd)

By Samuel Chong / GGNFS-0.73.3

(2·10¹⁴⁸-17)/3 = (6)₁₄₇1_<148> = 173 · 100069 · 29420669 · C134

C134 = P45 · P89

P45 = 606505167216585659807232036340968073826039581_<45>

P89 = 21581221825799757062578254553555589239685833563763830207663661229240628501444961663754077_<89>

Number: 66661_148
N=13089122552194909734385530955177641455836499718275535725865345380162780863225778207691058560283439590930333989570127607872101652121737
  ( 134 digits)
SNFS difficulty: 148 digits.
Divisors found:
 r1=606505167216585659807232036340968073826039581 (pp45)
 r2=21581221825799757062578254553555589239685833563763830207663661229240628501444961663754077 (pp89)
Version: GGNFS-0.73.3
Total time: 30.80 hours.
Scaled time: 36.62 units (timescale=1.189).
Factorization parameters were as follows:
name: 66661_148
n: 13089122552194909734385530955177641455836499718275535725865345380162780863225778207691058560283439590930333989570127607872101652121737
m: 200000000000000000000000000000
c5: 125
c0: -34
type: snfs
skew: 1.4
# q0: 1500000
# qintsize: 1000
# Total yield: 1846
# 0.01687 sec/rel
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [750000, 3950001)
Relations: rels:3966611, finalFF:270251
Initial matrix: 228517 x 270251 with sparse part having weight 35573271.
Pruned matrix : 217800 x 219006 with weight 27036465.
Total sieving time: 29.56 hours.
Total relation processing time: 0.32 hours.
Matrix solve time: 0.84 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,148,5,0,0,0,0,0,0,0,0,1500000,1500000,27,27,45,45,2.3,2.3,100000
total time: 30.80 hours.
 --------- CPU info (if available) ----------
Pentium M, 1.8GHz, 1GB RAM
elapsed time: 31h35m51.988s

Mar 4, 2005

By Sinkiti Sibata / GGNFS-0.73.2

(37·10¹³⁷-1)/9 = 4(1)₁₃₇_<138> = 3 · 193 · 1151 · 1843115454007_<13> · C120

C120 = P47 · P73

P47 = 78443134034625863417461952013230604888676278743_<47>

P73 = 4266756413961399494935602361549326896665705519953491093143609317691115459_<73>

Number: i41105
N=334697745273473656234172944954937312635414788585941717038586445454314501758487923299089918671055241093868998816880388037
  ( 120 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=78443134034625863417461952013230604888676278743 (pp47)
 r2=4266756413961399494935602361549326896665705519953491093143609317691115459 (pp73)
Version: GGNFS-0.73.2
Total time: 58.03 hours.
Scaled time: 22.92 units (timescale=0.395).
Factorization parameters were as follows:
name: i41105
n: 334697745273473656234172944954937312635414788585941717038586445454314501758487923299089918671055241093868998816880388037
m: 1000000000000000000000000000
c5: 3700
c0: -1
skew: 4
qintsize: 400000
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 2800001)
Relations: rels:1800775, finalFF:200525
Initial matrix: 142468 x 200525 with sparse part having weight 25246743.
Pruned matrix : 130388 x 131164 with weight 14949830.
Total sieving time: 54.52 hours.
Total relation processing time: 0.34 hours.
Matrix solve time: 3.04 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,138,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 58.03 hours.
 --------- CPU info (if available) ----------

Mar 3, 2005 (4th)

By Anton Korobeynikov / GGNFS-0.73.3 gnfs

8·10¹⁷⁸-3 = 7(9)₁₇₇7_<179> = 677 · 1033 · 1171 · 27047072567_<11> · 3180675130888637_<16> · 17469811656235332389_<20> · 769952797341217906532041_<24> · C101

C101 = P32 · P70

P32 = 23644469941078472407922034471623_<32>

P70 = 3570447205507941234905363531766364802864271229525213694347643675221219_<70>

g101-txt101.txt

Number: tst101 N=84421331626840147755088995215433319001568880385521800102178538348831942030675007770161807478302968437 ( 101 digits) Divisors found: r1=23644469941078472407922034471623 (pp32) r2=3570447205507941234905363531766364802864271229525213694347643675221219 (pp70) Version: GGNFS-0.73.3 Total time: 14.22 hours. Scaled time: 13.78 units (timescale=0.969). Factorization parameters were as follows: name: tst101 n: 84421331626840147755088995215433319001568880385521800102178538348831942030675007770161807478302968437 skew: 9374.18 # norm 2.13e+014 c5: 25740 c4: -314577157 c3: -9004724796291 c2: -80218931325673798 c1: 81734635990674132321 c0: -51550790000522311162315 # alpha -6.12 Y1: 5677845931 Y0: -20098749204110624958 # Murphy_E 2.87e-009 # M 21280069215873870489108668533352864061711435135212911998757035209427419896253631368993010940654167684 type: gnfs rlim: 1800000 alim: 1800000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 1800000/1800000 Large primes per side: 3 Large prime bits: 26/26 Sieved special-q in [900000, 1500001) Relations: rels:3704792, finalFF:304802 Initial matrix: 269786 x 304802 with sparse part having weight 21236957. Pruned matrix : 241939 x 243351 with weight 14186747. Polynomial selection time: 0.33 hours. Total sieving time: 11.38 hours. Total relation processing time: 0.25 hours. Matrix solve time: 2.01 hours. Time per square root: 0.24 hours. Prototype def-par.txt line would be: gnfs,100,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000 total time: 14.22 hours. --------- CPU info (if available) ----------

Mar 3, 2005 (3rd)

By Makoto Kamada / GMP-ECM 5.0.3

(8·10¹⁵²-53)/9 = (8)₁₅₁3_<152> = C152

C152 = P26 · P127

P26 = 38892376128496536485732797_<26>

P127 = 2285509339805026430325296479971396331731936411071089081476754338588167677785318036162039890493878106780399369948607227555403439_<127>

Mar 3, 2005 (3rd)

By Makoto Kamada / GMP-ECM 5.0.3

(8·10¹⁵²-53)/9 = (8)₁₅₁3_<152> = C152

C152 = P26 · P127

P26 = 38892376128496536485732797_<26>

P127 = 2285509339805026430325296479971396331731936411071089081476754338588167677785318036162039890493878106780399369948607227555403439_<127>

Mar 3, 2005 (2nd)

By Anton Korobeynikov / GGNFS-0.73.3 gnfs

(4·10¹⁸⁰+23)/9 = (4)₁₇₉7_<180> = 3 · 59 · 317128349 · 971654996231_<12> · 66018002849107_<14> · 178139006085760561_<18> · 11757062412922805745713059_<26> · C101

C101 = P39 · P62

P39 = 977491832312192896389896625176726445871_<39>

P62 = 60292555656044812428976587194559990987738290050680487578282923_<62>

g101-txt101.txt

Number: tst101 N=58935480703012113156306367973469003385362271699239997625474239672329288240197626007554179866683160933 ( 101 digits) Divisors found: r1=977491832312192896389896625176726445871 (pp39) r2=60292555656044812428976587194559990987738290050680487578282923 (pp62) Version: GGNFS-0.73.3 Total time: 12.38 hours. Scaled time: 8.45 units (timescale=0.683). Factorization parameters were as follows: name: tst101 n: 58935480703012113156306367973469003385362271699239997625474239672329288240197626007554179866683160933 skew: 8092.40 # norm 4.99e+013 c5: 40320 c4: 310683000 c3: -6883165368368 c2: -21332206180519181 c1: 226089803075020671126 c0: -66771607779407150083464 # alpha -5.64 Y1: 20881704877 Y0: -17098989437081853661 # Murphy_E 3.17e-009 # M 33219486898087507096836376604076565561411221979738638540920159839815504736209664361825192247682474998 type: gnfs rlim: 1800000 alim: 1800000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 1800000/1800000 Large primes per side: 3 Large prime bits: 26/26 Sieved special-q in [900000, 1500001) Relations: rels:4100808, finalFF:464201 Initial matrix: 269928 x 464201 with sparse part having weight 36660155. Pruned matrix : 164750 x 166163 with weight 13589014. Total sieving time: 10.58 hours. Total relation processing time: 0.25 hours. Matrix solve time: 1.32 hours. Time per square root: 0.23 hours. Prototype def-par.txt line would be: gnfs,100,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000 total time: 12.38 hours. --------- CPU info (if available) ----------

Mar 3, 2005

GGNFS-0.73.4 was released.

GGNFS - A Number Field Sieve implementation (Chris Monico)

Mar 2, 2005 (2nd)

By Makoto Kamada / GMP-ECM 5.0.3

(22·10¹⁴³-1)/3 = 7(3)₁₄₃_<144> = 23 · 188659857316464681817_<21> · C123

C123 = P30 · P93

P30 = 172484683401417441565290284783_<30>

P93 = 979813801495399728191654444294208705433893862541038168397148891528336592638886524781276518661_<93>

(68·10¹⁵²+13)/9 = 7(5)₁₅₁7_<153> = 186672037698199043723_<21> · C133

C133 = P29 · P105

P29 = 26034504780279352203944955623_<29>

P105 = 155466855292057290989047224490539468202754163078568908699053835956577403593172767939906521016382646188633_<105>

(2·10¹⁸⁶+61)/9 = (2)₁₈₅9_<186> = 7 · 97 · C183

C183 = P34 · C150

P34 = 1522768497755412727974945663827369_<34>

C150 = [214923462283699839843702008294895523156332677832059411850559696367167192950658565333786643831889962519418475780375580273998686701985097168868402036779_<150>]

Mar 2, 2005

By Samuel Chong / GGNFS-0.73.1

(2·10¹³⁷-17)/3 = (6)₁₃₆1_<137> = 7 · 89 · C135

C135 = P37 · P39 · P59

P37 = 2790158708822027143894388316567180773_<37>

P39 = 845548195516519882155501365727563470489_<39>

P59 = 45357950202530373433516787302445212738848573444678217182631_<59>

Number: 66661_137
N=107009095773140716960941680042803638309256286784376672017121455323702514713750668806848582129481005885500267522739432851792402354200107
  ( 135 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=2790158708822027143894388316567180773 (pp37)
 r2=845548195516519882155501365727563470489 (pp39)
 r3=45357950202530373433516787302445212738848573444678217182631 (pp59)
Version: GGNFS-0.73.1
Total time: 6.64 hours.
Scaled time: 7.87 units (timescale=1.185).
Factorization parameters were as follows:
name: 66661_137
n: 107009095773140716960941680042803638309256286784376672017121455323702514713750668806848582129481005885500267522739432851792402354200107
m: 2000000000000000000000000000
c5: 25
c0: -68
type: snfs
skew: 2.0
# q0: 800000
# qintsize: 1000
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 1300001)
Relations: rels:1516976, finalFF:167968
Initial matrix: 142335 x 167968 with sparse part having weight 13816937.
Pruned matrix : 134421 x 135196 with weight 9382608.
Total sieving time: 6.38 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.16 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,137,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 6.64 hours.
 --------- CPU info (if available) ----------
Pentium M, 1.8GHz, 1GB RAM
elapsed time: 6h52m56.617s

Mar 1, 2005 (4th)

By Sinkiti Sibata / GGNFS-0.73.2

(37·10¹³⁶-1)/9 = 4(1)₁₃₆_<137> = 7 · 41 · 18461843479_<11> · C124

C124 = P33 · P92

P33 = 738108094425458666282385243303173_<33>

P92 = 10511925764047661443312345654252275100994886610773448303552464189397480680642603837380857859_<92>

Number: i41104
N=7758937494443103028711726010086126583263172567187765980117490911823453324219377493657962029093220955789742257252441556686607
  ( 124 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=738108094425458666282385243303173 (pp33)
 r2=10511925764047661443312345654252275100994886610773448303552464189397480680642603837380857859 (pp92)
Version: GGNFS-0.73.2
Total time: 45.77 hours.
Scaled time: 18.03 units (timescale=0.394).
Factorization parameters were as follows:
name: i41104
n: 7758937494443103028711726010086126583263172567187765980117490911823453324219377493657962029093220955789742257252441556686607
m: 1000000000000000000000000000
c5: 370
c0: -1
skew: 4
qintsize: 400000
type: snfs

Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 2400001)
Relations: rels:1810731, finalFF:228551
Initial matrix: 142523 x 228551 with sparse part having weight 27242085.
Pruned matrix : 125151 x 125927 with weight 13604858.
Total sieving time: 42.69 hours.
Total relation processing time: 0.35 hours.
Matrix solve time: 2.60 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,137,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 45.77 hours.
 --------- CPU info (if available) ----------

Mar 1, 2005 (3rd)

GGNFS-0.73.3 was released.

GGNFS - A Number Field Sieve implementation (Chris Monico)

Mar 1, 2005 (2nd)

By Samuel Chong / GGNFS-0.73.1

(2·10¹³⁶-17)/3 = (6)₁₃₅1_<136> = 29 · 191 · 33010453962249187_<17> · C116

C116 = P42 · P75

P42 = 169448673720232790023749204075842661822773_<42>

P75 = 215172965352362064915184211595709031155474345295418603608711193402582287849_<75>

Number: 66661_136
N=36460773599407354488833071975225814911093052432403649301172042432306777015707398576606060026000241907358962909385277
  ( 116 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=169448673720232790023749204075842661822773 (pp42)
 r2=215172965352362064915184211595709031155474345295418603608711193402582287849 (pp75)
Version: GGNFS-0.73.1
Total time: 7.94 hours.
Scaled time: 9.00 units (timescale=1.134).
Factorization parameters were as follows:
name: 66661_136
n: 36460773599407354488833071975225814911093052432403649301172042432306777015707398576606060026000241907358962909385277
m: 1000000000000000000000000000
c5: 20
c0: -17
type: snfs
skew: 1.0
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [400000, 1450001)
Relations: rels:1581153, finalFF:178316
Initial matrix: 142472 x 178316 with sparse part having weight 16256973.
Pruned matrix : 132149 x 132925 with weight 10288867.
Total sieving time: 7.65 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.18 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,136,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 7.94 hours.
 --------- CPU info (if available) ----------
Pentium M, 1.8GHz, 1GB RAM
elapsed time: 8h05m13.363s

Mar 1, 2005

GMP-ECM 6.0 was released.

GMP-ECM 6.0 (Paul Zimmermann)

February 2005

Feb 28, 2005 (5th)

By Makoto Kamada / GMP-ECM 5.0.3

(4·10¹⁵¹+41)/9 = (4)₁₅₀9_<151> = 3 · 647 · 3307 · 41909850572501427030523_<23> · C122

C122 = P28 · P94

P28 = 1790638555367242138702678043_<28>

P94 = 9226430355560686703865008773021009552389780910556227550857201209691547642120188173464181230543_<94>

Feb 28, 2005 (4th)

By Anton Korobeynikov / GGNFS-0.72.10

(28·10¹⁵²+17)/9 = 3(1)₁₅₁3_<153> = 71039561 · 490296406675674906761_<21> · 404226582764410966202648197_<27> · C98

C98 = P49 · P50

P49 = 2040030801919865262203902429295076497284734001259_<49>

P50 = 10831658211138975612869131764159646070649020129711_<50>

s97-tst98.txt

Number: tst98 N=22096916386591737662333287324101820076097954480258847908134831981825364899733780002927248217306149 ( 98 digits) Divisors found: r1=2040030801919865262203902429295076497284734001259 (pp49) r2=10831658211138975612869131764159646070649020129711 (pp50) Version: GGNFS-0.72.10 Total time: 8.96 hours. Scaled time: 8.57 units (timescale=0.957). Factorization parameters were as follows: name: tst98 n: 22096916386591737662333287324101820076097954480258847908134831981825364899733780002927248217306149 c5: 1116720 c4: -3214071064 c3: -3385075906877 c2: 3901593030100439 c1: 1978188668371543077 c0: -1027242762353026280855 Y1: 6084453601 Y0: -1816679489141883708 deg: 5 skew: 1430 type: snfs rlim: 900000 alim: 900000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 50000 type: gnfs Factor base limits: 900000/900000 Large primes per side: 3 Large prime bits: 26/26 Sieved special-q in [450000, 950001) Relations: rels:3825412, finalFF:160614 Initial matrix: 142790 x 160614 with sparse part having weight 13004813. Pruned matrix : 135370 x 136147 with weight 10001795. Total sieving time: 7.77 hours. Total relation processing time: 0.30 hours. Matrix solve time: 0.70 hours. Time per square root: 0.18 hours. Prototype def-par.txt line would be: snfs,97,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,900000,900000,26,26,48,48,2.5,2.5,10000 total time: 8.96 hours. --------- CPU info (if available) ----------

Feb 28, 2005 (3rd)

55...559 was completed up to n=150 and extended to n=200.

Feb 28, 2005 (2nd)

By Shusuke Kubota / GGNFS-0.73.2

(5·10¹⁵⁰+31)/9 = (5)₁₄₉9_<150> = 43 · 1277030413888390436419_<22> · C128

C128 = P46 · P82

P46 = 1646988018298854300956475789099961261859539807_<46>

P82 = 6142813909616535237992153619118315647666868676494314023723182540171206084763362361_<82>

Feb 28, 2005

By Makoto Kamada / GMP-ECM 5.0.3

10¹⁸⁵-3 = (9)₁₈₄7_<185> = 19 · 834149 · 209205551 · 14115364562059472946776292563_<29> · C142

C142 = P35 · P107

P35 = 26150471097842868319059494133157249_<35>

P107 = 81706751742101878914198180697174396445076811730083317624603767885137213081489306839670834484075902356418751_<107>

(13·10¹⁵³-1)/3 = 4(3)₁₅₃_<154> = 7 · 661 · 797 · C148

C148 = P27 · C121

P27 = 460916575998112074071727299_<27>

C121 = [2549423294440337571087290903497700361859461239948612878825560392658318637774911572584694853772175150748353008237496604193_<121>]

(4·10¹⁵²-31)/9 = (4)₁₅₁1_<152> = 41 · 79 · 4231 · C145

C145 = P26 · C120

P26 = 19037823664438599021743461_<26>

C120 = [170351596736875709959179822326526166723291839274113159290765004032671542668674951513691570325256153664621191583653146709_<120>]

Feb 27, 2005 (5th)

By Makoto Kamada / GMP-ECM 5.0.3

(65·10¹⁶⁶+43)/9 = 7(2)₁₆₅7_<167> = 12263 · C163

C163 = P33 · C130

P33 = 603213984515802900576681227024393_<33>

C130 = [9763436759606743427904739583306785308462946373464374213867612168717174093348236091973396634356359866256404708584327307961415747853_<130>]

Feb 27, 2005 (4th)

By Anton Korobeynikov / GGNFS-0.72.10

(73·10¹²²-1)/9 = 8(1)₁₂₂_<123> = 2495368867_<10> · 30065207756281_<14> · C101

C101 = P49 · P52

P49 = 8515739257988231976015260062769942210927451647629_<49>

P52 = 1269576963874524821731547635872841891743206348166217_<52>

s100-tst101.txt

Number: tst101 N=10811386392303798398353443022968714122916788904704099224507604744034314063950430542893660179405949493 ( 101 digits) Divisors found: r1=8515739257988231976015260062769942210927451647629 (pp49) r2=1269576963874524821731547635872841891743206348166217 (pp52) Version: GGNFS-0.72.10 Total time: 12.46 hours. Scaled time: 7.21 units (timescale=0.579). Factorization parameters were as follows: name: tst101 n: 10811386392303798398353443022968714122916788904704099224507604744034314063950430542893660179405949493 c5: 33935880 c4: -32772355444 c3: -30186954377278 c2: 9012964731005967 c1: 7428040561945285000 c0: 881572339710519898375 Y1: 112153890151 Y0: -3166995347457395358 deg: 5 skew: 610 type: snfs rlim: 1300000 alim: 1300000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 50000 type: gnfs Factor base limits: 1300000/1300000 Large primes per side: 3 Large prime bits: 26/26 Sieved special-q in [650000, 1250001) Relations: rels:3953986, finalFF:265964 Initial matrix: 200315 x 265964 with sparse part having weight 19972846. Pruned matrix : 166348 x 167413 with weight 11168516. Total sieving time: 10.37 hours. Total relation processing time: 0.34 hours. Matrix solve time: 1.48 hours. Time per square root: 0.27 hours. Prototype def-par.txt line would be: snfs,100,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1300000,1300000,26,26,48,48,2.5,2.5,10000 total time: 12.46 hours. --------- CPU info (if available) ----------

Feb 27, 2005 (3rd)

By Makoto Kamada / GMP-ECM 5.0.3

(32·10¹⁵⁴-23)/9 = 3(5)₁₅₃3_<155> = 3 · 7 · 34909868917519_<14> · C140

C140 = P31 · P110

P31 = 1622587207668209092013526741137_<31>

P110 = 29890412487234743874766292830358412417755037058791136179875515239879367876130272029590647129293894697311106531_<110>

Feb 27, 2005 (2nd)

By Sinkiti Sibata / GGNFS-0.73.2

(37·10¹³²-1)/9 = 4(1)₁₃₂_<133> = 739 · 1763873 · C124

C124 = P48 · P76

P48 = 575247215934346384059375386041973198796001903237_<48>

P76 = 5482680499653833747224765932098332836815161177084479208221396832001847271049_<76>

Feb 27, 2005

By Makoto Kamada / GMP-ECM 5.0.3

(82·10¹⁹⁷+71)/9 = 9(1)₁₉₆9_<198> = 11 · 331 · 2683 · 9871 · 16187 · 243843471581_<12> · 29341294224576721_<17> · 161303420996123806388029_<24> · C132

C132 = P28 · P104

P28 = 5309637040693250659918244159_<28>

P104 = 95258483008369142446850518850579701637816207550391441086444595676108091657018037517629699957367017258759_<104>

(28·10¹⁵²+17)/9 = 3(1)₁₅₁3_<153> = 71039561 · 490296406675674906761_<21> · C124

C124 = P27 · C98

P27 = 404226582764410966202648197_<27>

C98 = [22096916386591737662333287324101820076097954480258847908134831981825364899733780002927248217306149_<98>]

Feb 26, 2005 (2nd)

By Anton Korobeynikov / GGNFS-0.72.10

(43·10¹⁵⁸-7)/9 = 4(7)₁₅₈_<159> = 3 · 53 · 73 · 409 · 193929779950721_<15> · 514800888246709_<15> · 45903697835835137570664907_<26> · C98

C98 = P34 · P64

P34 = 8078666803071405646066229069554157_<34>

P64 = 2718388303481846503431327155152590054302729684581350101070286589_<64>

s97-tst98.txt

Number: tst98 N=21960953345196390933481289905440520862730194252232844061681149657660218318068169706311462446300473 ( 98 digits) Divisors found: r1=8078666803071405646066229069554157 (pp34) r2=2718388303481846503431327155152590054302729684581350101070286589 (pp64) Version: GGNFS-0.72.10 Total time: 12.57 hours. Scaled time: 12.18 units (timescale=0.969). Factorization parameters were as follows: name: tst98 n: 21960953345196390933481289905440520862730194252232844061681149657660218318068169706311462446300473 c5: 20859360 c4: 5153416232 c3: -7974324133711 c2: -1096023886325212 c1: 1863941282150473026 c0: -148112050973250224025 Y1: 36695650751 Y0: -1010343990506389552 deg: 5 skew: 500 type: snfs rlim: 650000 alim: 700000 lpbr: 25 lpba: 25 mfbr: 47 mfba: 47 rlambda: 2.5 alambda: 2.5 qintsize: 50000 type: gnfs Factor base limits: 650000/700000 Large primes per side: 3 Large prime bits: 25/25 Sieved special-q in [350000, 1100001) Relations: rels:2970906, finalFF:124167 Initial matrix: 109740 x 124167 with sparse part having weight 11686913. Pruned matrix : 104904 x 105516 with weight 9332293. Total sieving time: 11.84 hours. Total relation processing time: 0.30 hours. Matrix solve time: 0.34 hours. Time per square root: 0.08 hours. Prototype def-par.txt line would be: snfs,97,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,650000,700000,25,25,47,47,2.5,2.5,10000 total time: 12.57 hours. --------- CPU info (if available) ----------

Feb 26, 2005

By Makoto Kamada / GMP-ECM 5.0.3

6·10¹⁸⁴-1 = 5(9)₁₈₄_<185> = 57389 · 2377253 · 7655279 · 2288410247_<10> · C158

C158 = P32 · P126

P32 = 82360343640220929920893969059811_<32>

P126 = 304813453761071548648407916337418821605038270640791430280993090156171195734593548049006713443227437796116990523264844889914829_<126>

Feb 25, 2005 (3rd)

By Shusuke Kubota / GGNFS-0.73.2

(5·10¹⁴²+31)/9 = (5)₁₄₁9_<142> = 3 · 701 · 5651 · 282411001 · 2726417159_<10> · C117

C117 = P40 · P77

P40 = 7187164483031483143803364360864418375443_<40>

P77 = 84475625130174595517239465314830217917502076940758765221942231367641214832519_<77>

Feb 25, 2005 (2nd)

By Anton Korobeynikov / GGNFS-0.72.10

(10¹⁵⁷+53)/9 = (1)₁₅₆7_<157> = 7 · 9787 · 38119 · 161388311904564113419_<21> · 721282616580305422424110621_<27> · C100

C100 = P45 · P56

P45 = 353280588885973286042826193048528852252476239_<45>

P56 = 10345965910970239067506056753085533319911044548970270807_<56>

s99-tst100.txt

Number: tst100 N=3655028929621771123698475911512055078649231405770678065395099104436079402845557117678288860162854873 ( 100 digits) Divisors found: r1=353280588885973286042826193048528852252476239 (pp45) r2=10345965910970239067506056753085533319911044548970270807 (pp56) Version: GGNFS-0.72.10 Total time: 13.98 hours. Scaled time: 10.57 units (timescale=0.756). Factorization parameters were as follows: name: tst100 n: 3655028929621771123698475911512055078649231405770678065395099104436079402845557117678288860162854873 c5: 4509270 c4: -728781963 c3: -14249022211768 c2: 2018459617713887 c1: 10670463428665804397 c0: -2028926546352305906625 Y1: 756865651 Y0: -3817305503970683996 deg: 5 skew: 1280 type: snfs rlim: 800000 alim: 900000 lpbr: 25 lpba: 25 mfbr: 47 mfba: 47 rlambda: 2.5 alambda: 2.5 qintsize: 50000 type: gnfs Factor base limits: 800000/900000 Large primes per side: 3 Large prime bits: 25/25 Sieved special-q in [450000, 1150001) Relations: rels:2819331, finalFF:179923 Initial matrix: 135206 x 179923 with sparse part having weight 16481406. Pruned matrix : 120230 x 120970 with weight 10088557. Total sieving time: 12.95 hours. Total relation processing time: 0.31 hours. Matrix solve time: 0.59 hours. Time per square root: 0.13 hours. Prototype def-par.txt line would be: snfs,99,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,800000,900000,25,25,47,47,2.5,2.5,10000 total time: 13.98 hours. --------- CPU info (if available) ----------

Feb 25, 2005

By Makoto Kamada / GMP-ECM 5.0.3

(71·10¹⁵²-17)/9 = 7(8)₁₅₁7_<153> = 79 · 443 · 563 · 6997 · 66570799543_<11> · C131

C131 = P26 · P106

P26 = 47307212265997876112975693_<26>

P106 = 1816994544717289624399962542148395539814907049221027510874334313176363982280965307217935229762849872170239_<106>

(14·10¹⁵⁴-41)/9 = 1(5)₁₅₃1_<155> = 43 · 449 · 12334289053_<11> · C140

C140 = P27 · P113

P27 = 840619760834431082676742801_<27>

P113 = 77706439992072659966519815062943781869616696137044424309594314955129193160698458676543902372658988095941544888881_<113>

Feb 24, 2005 (3rd)

By Shusuke Kubota / GGNFS-0.73.2

(5·10¹⁴⁰+31)/9 = (5)₁₃₉9_<140> = 53 · 2137 · 32827889 · 51078802373_<11> · C117

C117 = P41 · P76

P41 = 52275678956925204471710448946929880899239_<41>

P76 = 5595820291060707512920125039330568876183647579785717492672785721520507127793_<76>

Feb 24, 2005 (2nd)

By Anton Korobeynikov / GGNFS-0.72.10

(83·10¹⁵³+61)/9 = 9(2)₁₅₂9_<154> = 11 · 740998469 · 8153059810229_<13> · 190733995228429_<15> · 646090443507451559500129_<24> · C94

C94 = P31 · P63

P31 = 2763272355757974100871175642293_<31>

P63 = 407530242891298855226504201320251858163206936899337770543504503_<63>

s93-tst94.txt

Number: tst94 N=1126117054316858766123890391525595857024672938424987301384090193655587605646964491100162745379 ( 94 digits) Divisors found: r1=2763272355757974100871175642293 (pp31) r2=407530242891298855226504201320251858163206936899337770543504503 (pp63) Version: GGNFS-0.72.10 Total time: 6.02 hours. Scaled time: 5.78 units (timescale=0.960). Factorization parameters were as follows: name: tst94 n: 1126117054316858766123890391525595857024672938424987301384090193655587605646964491100162745379 c5: 312330 c4: -178593427 c3: -1728366764703 c2: 107226084754004 c1: 794626107415487103 c0: 135881649083600027033 Y1: 669622351 Y0: -324634049601723732 deg: 5 skew: 1240 type: snfs rlim: 500000 alim: 600000 lpbr: 25 lpba: 25 mfbr: 45 mfba: 45 rlambda: 2.5 alambda: 2.5 qintsize: 50000 type: gnfs Factor base limits: 500000/600000 Large primes per side: 3 Large prime bits: 25/25 Sieved special-q in [300000, 700001) Relations: rels:2081658, finalFF:140658 Initial matrix: 90749 x 140658 with sparse part having weight 12307120. Pruned matrix : 78654 x 79171 with weight 5958339. Total sieving time: 5.57 hours. Total relation processing time: 0.18 hours. Matrix solve time: 0.20 hours. Time per square root: 0.07 hours. Prototype def-par.txt line would be: snfs,93,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,500000,600000,25,25,45,45,2.5,2.5,10000 total time: 6.02 hours. --------- CPU info (if available) ----------

(83·10¹⁶²+61)/9 = 9(2)₁₆₁9_<163> = 233 · 14447 · 71339 · 2310868215763_<13> · 9451661490563012491_<19> · 11105577708380065389971_<23> · C99

C99 = P36 · P63

P36 = 451222666118712635581168723036718821_<36>

P63 = 350880772857503261950110874867430123815659258923643865756711687_<63>

s98-tst99.txt

Number: tst99 N=158325357818557041281497010400199277541256516673223431924351726265238544593086736587434426983561027 ( 99 digits) Divisors found: r1=451222666118712635581168723036718821 (pp36) r2=350880772857503261950110874867430123815659258923643865756711687 (pp63) Version: GGNFS-0.72.10 Total time: 10.10 hours. Scaled time: 8.90 units (timescale=0.881). Factorization parameters were as follows: name: tst98 n: 158325357818557041281497010400199277541256516673223431924351726265238544593086736587434426983561027 c5: 2962080 c4: -4634022750 c3: -3515334219187 c2: 2972574014762242 c1: 625580654584786620 c0: -595392134779256174100 Y1: 30125271251 Y0: -2216116494135543547 deg: 5 skew: 650 type: snfs rlim: 700000 alim: 800000 lpbr: 25 lpba: 25 mfbr: 47 mfba: 47 rlambda: 2.5 alambda: 2.5 qintsize: 50000 type: gnfs Factor base limits: 700000/800000 Large primes per side: 3 Large prime bits: 25/25 Sieved special-q in [400000, 1000001) Relations: rels:2777187, finalFF:149866 Initial matrix: 121050 x 149866 with sparse part having weight 13664779. Pruned matrix : 111841 x 112510 with weight 9287794. Total sieving time: 9.15 hours. Total relation processing time: 0.26 hours. Matrix solve time: 0.55 hours. Time per square root: 0.14 hours. Prototype def-par.txt line would be: snfs,98,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,700000,800000,25,25,47,47,2.5,2.5,10000 total time: 10.10 hours. --------- CPU info (if available) ----------

Feb 24, 2005

By Makoto Kamada / GMP-ECM 5.0.3

(68·10¹⁹⁸+13)/9 = 7(5)₁₉₇7_<199> = 3³ · 2837 · 7305413 · 124068676637_<12> · 403212889427768888832067867_<27> · C150

C150 = P28 · C123

P28 = 1562091434865214888463863633_<28>

C123 = [172780816705596629436477571893915454694951908049723289731935734705261274963726310234006475949636958455314893409923089382873_<123>]

Feb 23, 2005 (6th)

By Anton Korobeynikov / GGNFS-0.72.10

(68·10¹⁸³+13)/9 = 7(5)₁₈₂7_<184> = 3 · 11 · 29 · 1861 · 10540669 · 36676552603_<11> · 2090474157349659887060834257843_<31> · 54231147509766270340036258370353_<32> · C98

C98 = P40 · P59

P40 = 5555774912817724145558535099715789839911_<40>

P59 = 17422608166773415267391985263166795213311389379270222062927_<59>

s97-tst98.txt

Number: tst98 N=96796089368812939907710109992971779964200491229834540512790769483196439800064734087204937498079497 ( 98 digits) Divisors found: r1=5555774912817724145558535099715789839911 (pp40) r2=17422608166773415267391985263166795213311389379270222062927 (pp59) Version: GGNFS-0.72.10 Total time: 12.05 hours. Scaled time: 4.99 units (timescale=0.414). Factorization parameters were as follows: name: tst98 n: 96796089368812939907710109992971779964200491229834540512790769483196439800064734087204937498079497 c5: 1915920 c4: 1593472404 c3: 1686783478740 c2: -4923891057751905 c1: -5961481637787720128 c0: -1016855466390690575740 Y1: 460876411 Y0: -2191270908204107409 deg: 5 skew: 1215 type: snfs rlim: 1000000 alim: 1000000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 50000 type: gnfs Factor base limits: 1000000/1000000 Large primes per side: 3 Large prime bits: 26/26 Sieved special-q in [500000, 950001) Relations: rels:4015190, finalFF:249488 Initial matrix: 157300 x 249488 with sparse part having weight 19762791. Pruned matrix : 123228 x 124078 with weight 8673929. Total sieving time: 10.80 hours. Total relation processing time: 0.46 hours. Matrix solve time: 0.58 hours. Time per square root: 0.21 hours. Prototype def-par.txt line would be: snfs,97,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1000000,1000000,26,26,48,48,2.5,2.5,10000 total time: 12.05 hours. --------- CPU info (if available) ----------

Feb 23, 2005 (5th)

By Makoto Kamada / GMP-ECM 5.0.3, msieve 0.88

(82·10¹⁵⁴+71)/9 = 9(1)₁₅₃9_<155> = 3² · 7 · 431 · 8285593 · 29773304387_<11> · 1412394563423_<13> · C121

C121 = P30 · P35 · P58

P30 = 319913847688368250779160545779_<30>

P35 = 23820893541976526653587592873967891_<35>

P58 = 1263734275947088488612677092121618969616342474433401194699_<58>

Feb 23, 2005 (4th)

By Shusuke Kubota / GGNFS-0.73.1

(5·10¹³⁷+31)/9 = (5)₁₃₆9_<137> = 7 · 113 · 17183 · 1945651 · 26709401 · C116

C116 = P41 · P76

P41 = 23154301806734383296341589389093245102973_<41>

P76 = 3396966323779455867228354754571225937833125650720258644280371421799441185761_<76>

Feb 23, 2005 (3rd)

GGNFS-0.73.2 was released.

GGNFS - A Number Field Sieve implementation (Chris Monico)

Feb 23, 2005 (2nd)

By Anton Korobeynikov / GGNFS-0.72.10

(85·10¹⁸⁴+41)/9 = 9(4)₁₈₃9_<185> = 3 · 19² · 8461 · 2086853 · 1506956321569_<13> · 95361398684566117184369_<23> · 648846539694394447703609483_<27> · C110

C110 = P44 · P67

P44 = 32490141366689953739155066500267821204953019_<44>

P67 = 1630300026922735419902733895760673814744606631076784149578959462603_<67>

s109-tst110.txt

Number: tst110 N=52968678344838111351575141129775269881804611379524807163772715394930781940676514654455246869289118802102448457 ( 110 digits) SNFS difficulty: 109 digits. Divisors found: r1=32490141366689953739155066500267821204953019 (pp44) r2=1630300026922735419902733895760673814744606631076784149578959462603 (pp67) Version: GGNFS-0.72.10 Total time: 56.69 hours. Scaled time: 23.75 units (timescale=0.419). Factorization parameters were as follows: name: tst110 n: 52968678344838111351575141129775269881804611379524807163772715394930781940676514654455246869289118802102448457 deg: 5 c5: 793800 c4: 351805410 c3: -123661430487361 c2: 3327447362022702 c1: 4121592591651923598216 c0: -75996594554199168966072 Y1: 32755372241 Y0: -581917752356293493023 skew: 6800 type: snfs rlim: 2100000 alim: 2300000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.4 alambda: 2.4 qintsize: 50000 Factor base limits: 2100000/2300000 Large primes per side: 3 Large prime bits: 26/26 Sieved special-q in [1150000, 1150000) Relations: rels:4421014, finalFF:379723 Initial matrix: 325303 x 379723 with sparse part having weight 32658632. Pruned matrix : 288637 x 290327 with weight 24103700. Total sieving time: 50.77 hours. Total relation processing time: 1.35 hours. Matrix solve time: 4.10 hours. Time per square root: 0.46 hours. Prototype def-par.txt line would be: snfs,109,5,0,0,0,0,0,0,0,0,2100000,2300000,26,26,48,48,2.4,2.4,20000 total time: 56.69 hours. --------- CPU info (if available) ----------

Feb 23, 2005

By Makoto Kamada / GMP-ECM 5.0.3

(8·10¹⁸⁵+1)/9 = (8)₁₈₄9_<185> = 23 · 1093975681_<10> · C175

C175 = P26 · P149

P26 = 49390638186037955490316247_<26>

P149 = 71526559569464294510030434316902551933845007342168093515556226834095677323993042306300543111907593517973753077768912773251986848810095585586490236649_<149>

Feb 22, 2005 (2nd)

By Makoto Kamada / GMP-ECM 5.0.3

(35·10¹⁶⁸-53)/9 = 3(8)₁₆₇3_<169> = 55865683 · 167058817 · C153

C153 = P26 · C127

P26 = 49490597625208871233348177_<26>

C127 = [8419539181425468806006365315094861322014249606974102335052229082073286916817362732334516441385931952781233787411201237061255889_<127>]

Feb 22, 2005

By Wataru Sakai / GMP-ECM 5.0.3

(16·10¹⁷⁹-7)/9 = 1(7)₁₇₉_<180> = 3 · 1102457 · 8690677 · C166

C166 = P31 · P136

P31 = 2117649417153711077387449476553_<31>

P136 = 2920699571820429920378233170826618531016227217128184725592402506959497217656733136932315759923412751361537251825331676503767453880465327_<136>

Feb 21, 2005 (3rd)

By Makoto Kamada / GMP-ECM 5.0.3

(23·10¹⁵⁸+1)/3 = 7(6)₁₅₇7_<159> = 13 · 29 · 41 · C155

C155 = P26 · P130

P26 = 37467652851985403770178639_<26>

P130 = 1323807650605150843347199687137166672797456679819087454816234107073137850656838904044631614014592414575470218056763934202825313029_<130>

Feb 21, 2005 (2nd)

By Wataru Sakai / GMP-ECM 5.0.3

(43·10¹⁶⁸-7)/9 = 4(7)₁₆₈_<169> = C169

C169 = P33 · C136

P33 = 530723676086574731102103897057683_<33>

C136 = [9002382959448748794439199014832033133711285895903932632389666139902386003239170475300347336941766288329532183182089193481662048433984619_<136>]

Feb 21, 2005

By Makoto Kamada / GMP-ECM 5.0.3

(4·10¹⁷⁷+23)/9 = (4)₁₇₆7_<177> = 3² · 88771 · 34257828589_<11> · 382118227297_<12> · 185328018246049181_<18> · C132

C132 = P29 · P103

P29 = 74350271904345532210869653201_<29>

P103 = 3084058668005186409866574388041834948237746363854798987149474877501583105706865140518254798826491068901_<103>

Feb 20, 2005 (2nd)

By Makoto Kamada / GMP-ECM 5.0.3

(13·10¹⁶²-1)/3 = 4(3)₁₆₂_<163> = 53 · 1117 · 92847256787_<11> · 8690549268738917422491731741_<28> · C119

C119 = P28 · P91

P28 = 9969666631528944004117489739_<28>

P91 = 9099051340549248029695357455246032129583134320545719381404591735887747506233136663766725641_<91>

Feb 20, 2005

GGNFS-0.73.1 was released.

GGNFS - A Number Field Sieve implementation (Chris Monico)

Feb 19, 2005

By Makoto Kamada / GMP-ECM 5.0.3

(4·10¹⁷⁸+23)/9 = (4)₁₇₇7_<178> = 3739 · 31239146595462079_<17> · C158

C158 = P29 · C130

P29 = 21547953973449457285963310887_<29>

C130 = [1765862225333414457749816639811485744777556103517376591018192247443970393747414909079613967382475245265634776936367846801585036501_<130>]

(32·10¹⁵⁸-23)/9 = 3(5)₁₅₇3_<159> = 1877 · 1488623 · C150

C150 = P34 · P116

P34 = 3233286365462040512671208489747183_<34>

P116 = 39356303462311549066470396000926839510781858373910786221493488078964099781152598769563785029139605452147096525074621_<116>

(32·10¹⁸⁵-23)/9 = 3(5)₁₈₄3_<186> = 11 · 443 · 2187455445180491_<16> · 1554299145200897051908199_<25> · C143

C143 = P31 · P112

P31 = 2879441576729208992654301213671_<31>

P112 = 7452962948535702456086975198230385203765755186167636291848971097436522022996181586867205194569833350214915019099_<112>

Feb 18, 2005 (3rd)

By Makoto Kamada / GMP-ECM 5.0.3

(10¹⁸⁵-7)/3 = (3)₁₈₄1_<185> = 17 · 787 · 7757 · 3182479906939_<13> · 379120658383121_<15> · C150

C150 = P40 · P111

P40 = 1649233781119169276135278455500153757167_<40>

P111 = 161412051765628893302994241785901816789592953507160916300463611882244680920661469088014100389835294747792392849_<111>

Feb 18, 2005 (2nd)

By Wataru Sakai / GMP-ECM 5.0.3, ppsiqs

(16·10¹⁵³-7)/9 = 1(7)₁₅₃_<154> = 768323 · 74731183 · 2155850687_<10> · 32986872370178449_<17> · C114

C114 = P28 · P35 · P52

P28 = 6350376299546839979016493183_<28>

P35 = 11471425921016960668718274939103087_<35>

P52 = 5976612482298304365679622466633346646476692651936811_<52>

Feb 18, 2005

By Makoto Kamada / GMP-ECM 5.0.3

(29·10¹⁹³+7)/9 = 3(2)₁₉₂3_<194> = 3 · 11 · 4129 · 4703 · 97388659 · C177

C177 = P33 · C145

P33 = 494792974762207270045816336475419_<33>

C145 = [1043493567845447017697091172910167915131490348046321697230162242292562033009416812629700698256663007574518882187170285770269292193749469444023153_<145>]

(2·10¹⁵¹+61)/9 = (2)₁₅₀9_<151> = 3 · 127 · 809 · 67302803024344470161908537027199_<32> · C114

C114 = P29 · P35 · P51

P29 = 18828400455558140308291627961_<29>

P35 = 44970281905286318082788507562183793_<35>

P51 = 126514936021995337190637399618467901461008633405463_<51>

Feb 17, 2005

By Makoto Kamada / GMP-ECM 5.0.3

(17·10¹⁸⁹-71)/9 = 1(8)₁₈₈1_<190> = 3 · 11 · 23 · 619 · 739 · 5279210203_<10> · 13409604493_<11> · C161

C161 = P30 · C132

P30 = 107675266350465140830705193009_<30>

C132 = [713721320572161835952425940821028245908329503806862456004886005577420054467244827323363096684513978748912648200246868295107834390009_<132>]

(2·10¹⁵⁵+7)/9 = (2)₁₅₄3_<155> = 173 · 367 · 518745754000861_<15> · 458980603069217356377416219_<27> · C109

C109 = P34 · P75

P34 = 2049297804196576789881393498465163_<34>

P75 = 717333902558197028305889604248689788845164614947458292233987073609025368609_<75>

Feb 16, 2005 (3rd)

By Makoto Kamada / GMP-ECM 5.0.3

(10¹⁷³+71)/9 = (1)₁₇₂9_<173> = 23² · 107 · 424722629 · C159

C159 = P37 · C123

P37 = 3163656490366535907132680457817794161_<37>

C123 = [146090951787874385048852754411379260684793096516574331136849357092615684281027226871732949756874538890825895635152205583817_<123>]

Feb 16, 2005 (2nd)

By Anton Korobeynikov / GGNFS-0.72.10

(10¹⁵²+11)/3 = (3)₁₅₁7_<152> = 37 · C150

C150 = P30 · P60 · P62

P30 = 122917288866251683548264058379_<30>

P60 = 489542125229663448751539681471694777987494036118627801087829_<60>

P62 = 14971798713649713122853648811967986927610226627138504771657811_<62>

Feb 16, 2005

By Wataru Sakai / GMP-ECM 5.0.3

(16·10¹⁷⁶-7)/9 = 1(7)₁₇₆_<177> = 3² · 59 · C174

C174 = P39 · C135

P39 = 615711081072019872468826193588606901197_<39>

C135 = [543758404231006280078915314898360251643955593507494702574785941537600961230214196342616452411330988575208199411251642709824917020572311_<135>]

Feb 14, 2005

By Makoto Kamada / GMP-ECM 5.0.3

8·10¹⁹⁶-3 = 7(9)₁₉₅7_<197> = 348122208247015564853_<21> · C177

C177 = P29 · P148

P29 = 53692831563308082356381236541_<29>

P148 = 4279982069611398506676632939468982902225630222235664794737162519462768800768550113816887184754192015522529117655458693215971890631346572097500743389_<148>

Feb 13, 2005 (3rd)

By Makoto Kamada / GMP-ECM 5.0.3

(25·10¹⁶³-1)/3 = 8(3)₁₆₃_<164> = 43 · 587 · 641 · C157

C157 = P27 · P130

P27 = 650724316034659125499804667_<27>

P130 = 7915113229016539673051590550957824017948819038855402536328969345759681074049901549340231062434536507734494336530607939026671435079_<130>

Feb 13, 2005 (2nd)

By Wataru Sakai / GMP-ECM 5.0.3

(43·10¹⁹²-7)/9 = 4(7)₁₉₂_<193> = 4451 · 5827 · 940903127 · 12835951153_<11> · C167

C167 = P28 · C139

P28 = 2701303725402363678544195517_<28>

C139 = [5646469006574256973282355219285673016714439033035136874206463329954028779275555920105596499863540512205308966627980373468257697311316283963_<139>]

(43·10¹⁸⁵-7)/9 = 4(7)₁₈₅_<186> = 3 · 29 · 47 · C183

C183 = P26 · C157

P26 = 58170373640018484872008409_<26>

C157 = [2008662548458999269449272053889738154785837004738744490237883895960497711975400967535628915609095715969831195102711489927429245865192787596589288254649018977_<157>]

Feb 13, 2005

By Makoto Kamada / GMP-ECM 5.0.3, msieve 0.88

5·10¹⁶⁶-1 = 4(9)₁₆₆_<167> = 61² · 7951 · 18959 · 41274509 · 1036244557985917323855656628571_<31> · C118

C118 = P29 · P35 · P54

P29 = 84427642127312153021137396271_<29>

P35 = 31378746637656538548025658341102831_<35>

P54 = 786699225732513079105689913385630462760166633060831769_<54>

(65·10²⁰⁰+43)/9 = 7(2)₁₉₉7_<201> = 157 · 167 · 30905087 · C189

C189 = P30 · P160

P30 = 537321897022494689652786925171_<30>

P160 = 1658785436556041315108865468395002717397504079125271304166624754627011835870853414945876768578266025626501944419670359005338932573955667354016456405963939900829_<160>

(68·10¹⁷²+13)/9 = 7(5)₁₇₁7_<173> = 83 · 649794149 · 1131828145807_<13> · 13072193902494553480229_<23> · C128

C128 = P29 · P100

P29 = 25729531661526218352445219561_<29>

P100 = 3680032571158365020787271104558766598165473057546374710810244665930768419934289755166417671019144937_<100>

Feb 12, 2005 (2nd)

By Makoto Kamada / GMP-ECM 5.0.3

6·10¹⁵⁵-1 = 5(9)₁₅₅_<156> = 17 · C155

C155 = P27 · C128

P27 = 855694920236157839951575243_<27>

C128 = [41246146041533380581382937109329549557946829659714681794095420363066533915011986623900432662432693705651217155512046742663409229_<128>]

6·10¹⁷⁵-1 = 5(9)₁₇₅_<176> = 59 · 33359 · 10379703007_<11> · 7176556482829_<13> · 2906450927886189094536119_<25> · C123

C123 = P31 · P92

P31 = 6758107042624471507946638020763_<31>

P92 = 20835173422357410987165752695962738961399561620993958049080814342037796143303160261337748469_<92>

6·10¹⁹⁷-1 = 5(9)₁₉₇_<198> = 1887671 · 21510659 · 29874643 · 51335819857675817_<17> · C160

C160 = P33 · C128

P33 = 193601769040977856894563633949553_<33>

C128 = [49766681564776680529172112494133309629596591893529357276525958753512660014711109005771121090421475985290545020879581630346816937_<128>]

(2·10¹⁷⁶+1)/3 = (6)₁₇₅7_<176> = C176

C176 = P27 · C149

P27 = 891423615315154872538304147_<27>

C149 = [74786740581353412957536483508702404864499831989498538968548097789732163315742538650870690452878548195480134264825891327689726788458624388437703617161_<149>]

Feb 12, 2005

By Sinkiti Sibata / GGNFS-0.72.9

(37·10¹²⁴-1)/9 = 4(1)₁₂₄_<125> = 7 · 877 · 230779 · 106604753051_<12> · C105

C105 = P38 · P68

P38 = 17383571383577989545387942783828220439_<38>

P68 = 15658484268726682877196990025648524335745225639676192864870838320379_<68>

(37·10¹²⁸-1)/9 = 4(1)₁₂₈_<129> = 3 · 619 · 744451 · C120

C120 = P34 · P86

P34 = 5271269113264531468248187640349689_<34>

P86 = 56415183423832560808836845498722439504063005615602679038744429991488753711827710351957_<86>

Feb 11, 2005 (5th)

By Wataru Sakai / GMP-ECM 5.0.3, ppsiqs

(43·10¹⁶¹-7)/9 = 4(7)₁₆₁_<162> = 3 · 602771321 · 788480541439_<12> · C141

C141 = P27 · P30 · P32 · P53

P27 = 407584773129245134706303633_<27>

P30 = 472843783453542643546827528967_<30>

P32 = 27972100507499348996979084949571_<32>

P53 = 62158484274045737573495275194467872857173684703223081_<53>

(43·10¹⁵⁸-7)/9 = 4(7)₁₅₈_<159> = 3 · 53 · 73 · 409 · 193929779950721_<15> · 514800888246709_<15> · C124

C124 = P26 · C98

P26 = 45903697835835137570664907_<26>

C98 = [21960953345196390933481289905440520862730194252232844061681149657660218318068169706311462446300473_<98>]

Feb 11, 2005 (4th)

By Wataru Sakai / GMP-ECM 5.0.3

(43·10¹⁹⁶-7)/9 = 4(7)₁₉₆_<197> = 7393 · 13757 · 71195263 · 1201434757_<10> · C172

C172 = P30 · P143

P30 = 205475076796438054403559439583_<30>

P143 = 26728282989179919138288092974997722466051480745835285993159902544918880427506555075521675042606752148965728979736958528648574392124680327324609_<143>

Feb 11, 2005 (3rd)

177...77 was completed up to n=150 and extended to n=200.

Feb 11, 2005 (2nd)

By Sinkiti Sibata / GGNFS-0.72.9

(16·10¹⁴⁹-7)/9 = 1(7)₁₄₉_<150> = 3² · C149

C149 = P58 · P91

P58 = 8331271277536038210494178215533813974344602897723796663191_<58>

P91 = 2370957055859431096324827022708994139605247930430141211466281641437033824638927930573233983_<91>

Feb 11, 2005

GGNFS-0.73.0 was released.

GGNFS - A Number Field Sieve implementation (Chris Monico)

Feb 9, 2005 (3rd)

By Makoto Kamada / GMP-ECM 5.0.3

(34·10¹⁷⁵-43)/9 = 3(7)₁₇₄3_<176> = 3² · 11 · 19 · 6983 · 393604511 · 287314227735809018059906687_<27> · C134

C134 = P29 · P105

P29 = 30853773554528131522663690129_<29>

P105 = 824290097283090077355091112337068853180713342553113823808918109122258715218949863217375232765875421917267_<105>

Feb 9, 2005 (2nd)

By Anton Korobeynikov / GGNFS-0.72.10

(5·10¹³⁵+31)/9 = (5)₁₃₄9_<135> = 13 · C134

C134 = P49 · P85

P49 = 7506229420373857190782490344092813234857127660523_<49>

P85 = 5693276922638245518225943946815552605697003214280678877538516178525359235141133263241_<85>

Feb 9, 2005

By Makoto Kamada / GMP-ECM 5.0.3

(10¹⁹⁹+11)/3 = (3)₁₉₈7_<199> = 7 · 1029562093533557_<16> · C183

C183 = P40 · C143

P40 = 7868305851309131416846407876005292325051_<40>

C143 = [58782347763931429749896469062559379704649727148076056803175125293902729160733807818718078017450414300841106319539509084237280064598955615474713_<143>]

Feb 8, 2005 (4th)

By Makoto Kamada / GMP-ECM 5.0.3

(29·10¹⁹¹+7)/9 = 3(2)₁₉₀3_<192> = 11 · 31 · 7621 · 1305526508941_<13> · 64708099336789218589_<20> · 1282613339103566661361_<22> · C133

C133 = P30 · C103

P30 = 222898262021082856624877730161_<30>

C103 = [5133840540764295292969509716240618314660951257381381577601383419479309668789454150628077053815197841167_<103>]

Feb 8, 2005 (3rd)

477...77 was completed up to n=150 and extended to n=200.

Feb 8, 2005 (2nd)

By Samuel Chong / GGNFS-0.72.12

(43·10¹³³-7)/9 = 4(7)₁₃₃_<134> = 3257 · 143290219 · 3972951337_<10> · 504818355763_<12> · C101

C101 = P47 · P55

P47 = 42088618029487333167527258553514982607056903959_<47>

P55 = 1212770408204353499405114083016127321412374380653219111_<55>

(43·10¹⁴³-7)/9 = 4(7)₁₄₃_<144> = 3 · 281 · 3083 · 3088219 · 72603951983333_<14> · C117

C117 = P45 · P73

P45 = 212650300655534998708898254198985609448332831_<45>

P73 = 3855586884071676462041345746580913668255650174359358027339541789516852609_<73>

(43·10¹⁴⁷-7)/9 = 4(7)₁₄₇_<148> = 17 · 59 · 499 · 468030967 · 980862258117348766773789407897573_<33> · C101

C101 = P38 · P63

P38 = 55744894740414569317018072247569265653_<38>

P63 = 373023982938017802975340367328696911192371337787481586671396367_<63>

(43·10¹⁵⁰-7)/9 = 4(7)₁₅₀_<151> = 73 · 89 · 168498385758107711025047_<24> · C124

C124 = P41 · P83

P41 = 46645077276435650380828547134249775525503_<41>

P83 = 93564589785101963210478534845379046306531001484470742381291513942796408710018618601_<83>

Feb 8, 2005

By Makoto Kamada / GMP-ECM 5.0.3

(14·10¹⁸²-41)/9 = 1(5)₁₈₁1_<183> = 17² · 967 · 2341 · 509659 · 2646493 · C162

C162 = P27 · P136

P27 = 115557116007355063964093261_<27>

P136 = 1525501552045539214499988771267300288449853635311853392119844387813629307247764608575870953524071455952121760501486395500295950991259271_<136>

2·10¹⁸⁸-9 = 1(9)₁₈₇1_<189> = 17 · 156083835959_<12> · 116098705756986833_<18> · C159

C159 = P28 · C132

P28 = 1528557664610115047105616481_<28>

C132 = [424730979321609056444211982014719865751281575611959204819716385342249694232869193979489060533511688985047286901474261914078857029889_<132>]

(19·10¹⁷⁰-1)/9 = 2(1)₁₇₀_<171> = C171

C171 = P33 · P139

P33 = 120558470467949569214286965883841_<33>

P139 = 1751109733656043126624126401132366088272468394797742343373508457364887662637296860240776768136294941520762853336527914226058508852018542471_<139>

Feb 7, 2005 (2nd)

By Makoto Kamada / GMP-ECM 5.0.3

(10¹⁷²+17)/9 = (1)₁₇₁3_<172> = 3 · 7 · C170

C170 = P32 · C138

P32 = 72168249258114728606726201031397_<32>

C138 = [733148627740939799927300997517632842383966933831900770855308243545825232400868389092834346740014256341748837898283664204679161320979182849_<138>]

Feb 7, 2005

By Makoto Kamada / GMP-ECM 5.0.3 P-1

(89·10¹⁸⁴+1)/9 = 9(8)₁₈₃9_<185> = 3 · 7² · C183

C183 = P32 · C151

P32 = 72298914535541553904067220479461_<32>

P32-1 = 2² · 3 · 5 · 29² · 149 · 349 · 1123 · 39827 · 121609 · 5065820159

C151 = [9304614518461221721104624962266784798483154187010164476340585209206066713053419278049718921187096589377538419636855579283100025304641980222987710282567_<151>]

Feb 6, 2005 (7th)

By Wataru Sakai / GMP-ECM 5.0.3

(7·10¹⁷³-43)/9 = (7)₁₇₂3_<173> = 17 · 8184307467053_<13> · 16357887524456411030777497_<26> · C134

C134 = P34 · P101

P34 = 2876674335904060286376152236251167_<34>

P101 = 11879735086232050497018635738925455600649219759170807513160086791501556907179113562626360343602337927_<101>

Feb 6, 2005 (6th)

88...883 was completed up to n=150 and extended to n=200. It's notable that three targets of 88...883 were factored by GNFS.

Feb 6, 2005 (5th)

By Anton Korobeynikov / GGNFS-0.72.10

(8·10¹⁴⁹-53)/9 = (8)₁₄₈3_<149> = 1861 · C146

C146 = P62 · P85

P62 = 13514951575044243763917103732007117716344962394343875524204173_<62>

P85 = 3534163282009924428294369966296326454301697272182259268062475743144415077846772117811_<85>

Feb 6, 2005 (3rd)

By Makoto Kamada / GMP-ECM 5.0.3

(13·10¹⁵⁴-31)/9 = 1(4)₁₅₃1_<155> = 7 · 4277327 · 56317422617351689_<17> · C130

C130 = P26 · P105

P26 = 32622211702208157863180453_<26>

P105 = 262587577695556819741487450008028139058878353882584353207713758110345503623012337713377477276740961928757_<105>

(13·10¹⁶²-31)/9 = 1(4)₁₆₁1_<163> = 227 · 1693 · 335965306249_<12> · C146

C146 = P33 · P113

P33 = 294877336581302342465190938507779_<33>

P113 = 37938678604799148998026081131183309617722733798497720846130853021739224834483728343764666755746298527125621041661_<113>

Feb 6, 2005 (2nd)

By Makoto Kamada / GMP-ECM 5.0.3 P-1

8·10¹⁵⁹-3 = 7(9)₁₅₈7_<160> = 11 · 67 · 670577 · 975797 · 67063998714311628415937_<23> · C123

C123 = P30 · P93

P30 = 322706369546904584701296076853_<30>

P30-1 = 2² · 2221 · 4254353 · 23746937 · 359548818073

P93 = 766509222578042688995443012278330648313231897304264682097830867293327761168958384173515604309_<93>

Feb 6, 2005

By Makoto Kamada / GMP-ECM 5.0.3 P-1

(68·10¹⁸⁴+13)/9 = 7(5)₁₈₃7_<185> = 2660753 · 99179253296209943369893637461_<29> · C150

C150 = P33 · P118

P33 = 232209217987810819436419432525691_<33>

P33-1 = 2 · 5 · 151 · 1429 · 81689 · 1020109 · 2597377 · 497193143

P118 = 1232995673380948886102241534034673245610828485234115013876977711861928113619296597671288826683960085291996001217880819_<118>

Feb 5, 2005 (4th)

By Makoto Kamada / msieve 0.88

(10¹⁹⁷+53)/9 = (1)₁₉₆7_<197> = 1088519 · 254073311 · 1522080869299970557247906893_<28> · 4832806009084819245530257357_<28> · 1429258979989971650163666625886221_<34> · C94

C94 = P40 · P55

P40 = 1614256832869030008695065809671032655741_<40>

P55 = 2367237196265758654740454422826494166411428372620211733_<55>

Feb 5, 2005 (3rd)

By Sinkiti Sibata / GGNFS-0.72.9

(16·10¹⁴⁷-7)/9 = 1(7)₁₄₇_<148> = 283536959 · 1245589644779_<13> · C127

C127 = P38 · P90

P38 = 46199786118061337977242601922342473867_<38>

P90 = 108956424241215220407779596980322531948095264902249838710400009229852455525088401495058471_<90>

Feb 5, 2005 (2nd)

By Makoto Kamada / GMP-ECM 5.0.3

(10¹⁹⁷+53)/9 = (1)₁₉₆7_<197> = 1088519 · 254073311 · 1522080869299970557247906893_<28> · 4832806009084819245530257357_<28> · C127

C127 = P34 · C94

P34 = 1429258979989971650163666625886221_<34>

C94 = [3821328819093725957332023191193296084665353297971463326060351240095009562481475406968718009153_<94>]

(13·10¹⁶⁴-31)/9 = 1(4)₁₆₃1_<165> = 3 · 43 · 112428709734049_<15> · C148

C148 = P38 · C111

P38 = 12667023571737990991217609155379403223_<38>

C111 = [786247589989777914636073830302682947375520031653629043043502213698140564149219934257068310767319486956018538927_<111>]

Feb 5, 2005

By Makoto Kamada / GMP-ECM 5.0.3 P-1

(65·10¹⁹⁰+43)/9 = 7(2)₁₈₉7_<191> = 97 · 151 · 153349398479784413_<18> · 183068228936534766174026813_<27> · C144

C144 = P36 · P108

P36 = 977138077241719675590966177052673389_<36>

P36-1 = 2² · 3 · 101 · 192631 · 141307 · 2434529 · 6439507 · 1889278099

P108 = 179750940567648382871445086126986304835862363811312057311549169881624147393957204136855273869585679296210001_<108>

Feb 4, 2005 (3rd)

By Makoto Kamada / GMP-ECM 5.0.3 P-1

6·10¹⁶⁰-1 = 5(9)₁₆₀_<161> = 191 · 65357 · 111773 · 1983601 · 1571356525369_<13> · 1763243682029_<13> · C118

C118 = P32 · P87

P32 = 32747621227427948676885297484609_<32>

P32-1 = 2⁶ · 3 · 7 · 1613 · 43321 · 91121 · 1732763 · 2208462383

P87 = 238928369616588467154945427484177889875796350816878145671110942435368430895342890353861_<87>

6·10¹⁸¹-1 = 5(9)₁₈₁_<182> = 131 · 487 · 18181 · 674898763500069035186759_<24> · C149

C149 = P32 · C118

P32 = 48674443951736616443332178819393_<32>

P32-1 = 2⁶ · 61 · 967 · 8069 · 306301 · 1876169 · 2780511079

C118 = [1574684654747708425371874188741858492781078184215992672500045325054890393019189687016950366783731182914747790329207361_<118>]

Feb 4, 2005 (2nd)

By Samuel Chong / GGNFS-0.72.9

(43·10¹⁴⁹-7)/9 = 4(7)₁₄₉_<150> = 3 · C150

C150 = P44 · P50 · P57

P44 = 28781518966446242044402583475723039664965761_<44>

P50 = 20337467828878678302798658585506811206737030115647_<50>

P57 = 272078423211186873245249543437364557806754348271844971077_<57>

Feb 4, 2005

By Makoto Kamada / GMP-ECM 5.0.3

(2·10¹⁸⁰+43)/9 = (2)₁₇₉7_<180> = 17 · 239 · 113177 · 15272032201952205157_<20> · C152

C152 = P36 · C117

P36 = 136224300968205436467179879754395287_<36>

C117 = [232290295750883296131439774105626527875056675632797772800763276168416357472031357205659940208252291417037581678720503_<117>]

Feb 3, 2005 (6th)

By Makoto Kamada / GMP-ECM 5.0.3

(10¹⁹⁹+71)/9 = (1)₁₉₈9_<199> = 3² · 1282109 · C191

C191 = P29 · C163

P29 = 56401403743487581216991365601_<29>

C163 = [1707261785010448898542931655293904776314770671755562750693160171208243512967130694350462705756368676588481618831929183853545308859467554174143920854544575560837699_<163>]

(14·10¹⁶³-41)/9 = 1(5)₁₆₂1_<164> = 11⁴ · 10391 · 7547738429963131409_<19> · C137

C137 = P29 · P108

P29 = 69820298945640076667172658783_<29>

P108 = 194025537721179509372087750926446591187166239134891726117935940369908211980099654843266616376983843967687143_<108>

Feb 3, 2005 (4th)

By Samuel Chong / GGNFS-0.72.9

(43·10¹³⁸-7)/9 = 4(7)₁₃₈_<139> = 257 · 20040169457433366814663969_<26> · C111

C111 = P53 · P59

P53 = 49726326573820820572467761146706521474572032593985389_<53>

P59 = 18655421048509753799813926188802693145082544420353554693621_<59>

Feb 3, 2005 (3rd)

By Sinkiti Sibata / GGNFS-0.72.9

(16·10¹⁴⁴-7)/9 = 1(7)₁₄₄_<145> = 29 · C143

C143 = P47 · P96

P47 = 88826476511401745641098801560339019716155471063_<47>

P96 = 690139746615620477788896334722595723945334689159704478314949765744290585544493955049744254882851_<96>

Feb 3, 2005 (2nd)

By Makoto Kamada / GMP-ECM 5.0.3

(25·10¹⁶¹-1)/3 = 8(3)₁₆₁_<162> = 71 · C161

C161 = P27 · C134

P27 = 627632323902741384517983871_<27>

C134 = [18700581144218962984921571396639265987546275415461048368565867347813460055522674532728378543892597977753037715328106343929468412124413_<134>]

Feb 3, 2005

GGNFS-0.72.12 was released.

GGNFS - A Number Field Sieve implementation (Chris Monico)

Feb 2, 2005 (4th)

By Makoto Kamada / GMP-ECM 5.0.3

(67·10¹⁸⁷+23)/9 = 7(4)₁₈₆7_<188> = 7 · 11 · 57163 · 47328769 · C174

C174 = P37 · P138

P37 = 2336361009002833103535009662012960771_<37>

P138 = 152954196296857130558495664917723610900141913614243256861254531459176240208425498097499251915290350622402393342999130562368867729713108603_<138>

Feb 2, 2005 (3rd)

By Makoto Kamada / GMP-ECM 5.0.3 P-1

(34·10¹⁷³-43)/9 = 3(7)₁₇₂3_<174> = 11 · C173

C173 = P28 · C145

P28 = 4090017086037300067260361867_<28>

P28-1 = 2 · 3² · 139 · 499 · 257987 · 7850789 · 1617432419

C145 = [8396892634184252103222222237534316190238257585872080056285708040687866008258364078713992722606690854088987379490701900885592654783285597751460629_<145>]

Feb 2, 2005

By Makoto Kamada / GMP-ECM 5.0.3 P-1

(29·10¹⁶³+7)/9 = 3(2)₁₆₂3_<164> = 3 · 11 · 1031 · 1747 · 2897711 · 103176192629_<12> · C139

C139 = P31 · P108

P31 = 4953045325697020735289184994711_<31>

P31-1 = 2 · 3 · 5 · 19 · 79 · 827 · 32363 · 34857313 · 117902269889

P108 = 366085990086691114623562916230607971883388444620724616146957772196406637330967584769117237827614155613949487_<108>

Feb 1, 2005 (4th)

By Makoto Kamada / GMP-ECM 5.0.3

(28·10¹⁸⁶+17)/9 = 3(1)₁₈₅3_<187> = 43 · 67² · 8573 · C178

C178 = P29 · C149

P29 = 29011873842129769428295057949_<29>

C149 = [64802066714608355666774319254759142911515243648266095705958921526222987458906950813766453246489961080980516645301030697272420784736056942199135607947_<149>]

Feb 1, 2005 (3rd)

44...449 was completed up to n=150 and extended to n=200.

Feb 1, 2005 (2nd)

By Samuel Chong / GGNFS-0.72.9

(4·10¹⁴⁹+41)/9 = (4)₁₄₈9_<149> = 25475808078876367198843_<23> · C127

C127 = P39 · P88

P39 = 179155019772122797586660310862839810413_<39>

P88 = 9737792861541557748144490005701401236652418920896976505090479375663606141723951579197311_<88>

(43·10¹³⁹-7)/9 = 4(7)₁₃₉_<140> = 47 · 163609657 · C130

C130 = P34 · P97

P34 = 4957949185354154301421469504628149_<34>

P97 = 1253190467500426148074960752074505102159467237170751912757801495138944545044336766975343993879387_<97>

Feb 1, 2005

By Wataru Sakai / PPSIQS

(10⁶¹¹+53)/9 = (1)₆₁₀7_<611> is prime.

January 2005

Jan 31, 2005 (3rd)

By Shusuke Kubota / GMP-ECM 5.0.3 P-1

(16·10¹⁴⁶-7)/9 = 1(7)₁₄₆_<147> = 3 · 983 · 2857 · 917775485652284293347968029_<27> · C113

C113 = P36 · P77

P36 = 369244730960158548653039248728688993_<36>

P36-1 = 2⁵ · 3 · 7 · 31 · 79 · 4799 · 82531 · 562579 · 6205139 · 162275651

P77 = 62264671376284461785245998480661830923905752489668299002771833757103236928537_<77>

Jan 31, 2005 (2nd)

By Shusuke Kubota / GMP-ECM 5.0.3 P-1, msieve

(4·10¹⁷⁷-31)/9 = (4)₁₇₆1_<177> = 3 · 7 · 41 · 83 · 9555151 · 121825559 · 6993278185679143_<16> · C141

C141 = P28 · C114

P28 = 1987450676488498295792213921_<28>

P28-1 = 2⁵ · 5 · 17 · 39199 · 318907 · 3503917 · 16681481

C114 = [384399759139704645983070502633996073558701483159339552891858391489346214011431425242009551648135865335534903923441_<114>]

(4·10¹⁹⁷+23)/9 = (4)₁₉₆7_<197> = 13 · 67061420451949139_<17> · C179

C179 = P31 · C149

P31 = 3875850410397358728150007205989_<31>

P31-1 = 2² · 3 · 13 · 191 · 5381 · 318023 · 2102311 · 36156847421

C149 = [13153289365373373652287163335689411355426642911508379876847678476391712809507266336843641776035125750635366578147500197759585122334964892650539919589_<149>]

(5·10¹⁷⁰-41)/9 = (5)₁₆₉1_<170> = 3⁷ · 313 · 908057 · 3670254134669_<13> · C146

C146 = P29 · C117

P29 = 24536274467882790513965408261_<29>

P29-1 = 2² · 5 · 7 · 151 · 2333 · 1810607 · 11831969 · 23222431

C117 = [992467984470178341940502766726206764199893272446874595614385542559268311663027354996771104251058134036124229044011117_<117>]

(5·10¹⁸⁶+13)/9 = (5)₁₈₅7_<186> = 607 · 6829 · 182167813054452217_<18> · 10476133674495648057887_<23> · 190677856249892933027003657_<27> · C114

C114 = P31 · P32 · P52

P31 = 4431326044520724742431755745191_<31>

P31-1 = 2 · 5 · 65424197 · 3574127 · 41862809 · 45268589

P32 = 14966316781521514166267140832867_<32>

P52 = 5553414831170960703298877172858931725679664347846709_<52>

(2·10¹⁷³+1)/3 = (6)₁₇₂7_<173> = 3229 · C170

C170 = P41 · C130

P41 = 12285208461573705537910016528766093075163_<41>

P41-1 = 2 · 3 · 11 · 17 · 31 · 41 · 647 · 967 · 63761 · 18524851 · 15374759 · 758219951

C130 = [1680576033089870868963499694810832703706063596917344726240449356900159434785066948305141904898456764011525077492362488490487304421_<130>]

(7·10¹⁵²-43)/9 = (7)₁₅₁3_<152> = 19 · 17061399629_<11> · 71406505488602029831_<20> · 110256811046946871822049_<24> · C98

C98 = P31 · P67

P31 = 3894586209452422308013106508109_<31>

P31-1 = 2² · 3² · 7² · 1201 · 1433 · 2593051 · 3835343 · 128990663

P67 = 7824971152250281693613784856609289257806979006669111279779992882113_<67>

(7·10¹⁴¹+11)/9 = (7)₁₄₀9_<141> = 12401 · C137

C137 = P33 · C105

P33 = 331568234726854059523323014000309_<33>

P33-1 = 2² · 7 · 7699 · 9104153 · 346039 · 7253581 · 67307507

C105 = [189158519386617684939030736058485751071489885862088360390732938094472285653661252807576546000948860525431_<105>]

10¹⁹⁴-3 = (9)₁₉₃7_<194> = 97 · 2797 · 13068964567247_<14> · 670549628153749_<15> · C161

C161 = P29 · P133

P29 = 33277844999548027200089593129_<29>

P29-1 = 2³ · 3 · 131 · 848879 · 292601 · 361463 · 117892781

P133 = 1263887731759476343000875801231412637930730552439455420562992121150851058349170733639270998372943091867382096788885439846712019565259_<133>

Jan 31, 2005

By Samuel Chong / GGNFS-0.72.9

(4·10¹⁴⁸+41)/9 = (4)₁₄₇9_<148> = 3 · 1891303 · 897126031 · 331863141923_<12> · C121

C121 = P61(1099...) · P61(2392...)

P61(1099...) = 1099590543316208962394851426591442294149735871304382663494779_<61>

P61(2392...) = 2392718682737473835596935301350728473162211230084976697130243_<61>

(43·10¹³⁶-7)/9 = 4(7)₁₃₆_<137> = 19 · C136

C136 = P64 · P72

P64 = 2641221796064532986393024467312807061677478606471077274348016833_<64>

P72 = 952066913421570125247269046297342615949509296486960375373088484000615851_<72>

Jan 30, 2005 (3rd)

By Shusuke Kubota / GMP-ECM 5.0.3 P-1

(2·10¹⁸⁷+43)/9 = (2)₁₈₆7_<187> = 7 · 239 · 2089 · 2719 · 3599899 · 1454013060523477510672955511551_<31> · C140

C140 = P39 · P102

P39 = 171824658039399274668028577202502436917_<39>

P39-1 = 2² · 3 · 17 · 31 · 269 · 653 · 5987 · 41149 · 7255247 · 7501667 · 11535851

P102 = 260015827991389744757924433573282122519980971253054147560706874791927196020033982048969907377988459733_<102>

(2·10¹⁹²+61)/9 = (2)₁₉₁9_<192> = 7 · 23 · 669530585551_<12> · 20775274609098475159_<20> · C158

C158 = P27 · P132

P27 = 667117672689848993338819147_<27>

P27-1 = 2 · 3 · 241811 · 92767 · 6214433 · 797590771

P132 = 148744860985106215714069843997915995410053484442940674463915135405455635591942431327564169591019230640693829812880091453923361611543_<132>

Jan 30, 2005 (2nd)

By Anton Korobeynikov / GGNFS-0.72.10 gnfs

(8·10¹³⁹-53)/9 = (8)₁₃₈3_<139> = 3⁵ · 29 · 12479 · 944197409 · 3960885278494758967_<19> · C104

C104 = P31 · P74

P31 = 1603368278577343071227273704889_<31>

P74 = 16856797356598288373663039532187939403739453640268875790575005173821365973_<74>

g101-txt101.txt

Number: tst104 N=27027654159976104724341772957761511425608276234940806238395591899723745825670661023761448361550468341997 ( 104 digits) Divisors found: r1=1603368278577343071227273704889 (pp31) r2=16856797356598288373663039532187939403739453640268875790575005173821365973 (pp74) Version: GGNFS-0.72.10 Total time: 29.02 hours. Scaled time: 28.73 units (timescale=0.990). Factorization parameters were as follows: name: tst104 n: 27027654159976104724341772957761511425608276234940806238395591899723745825670661023761448361550468341997 m: 15238036412579443278 deg: 5 c5: 32897532 c4: -28769636186 c3: 12039639321714 c2: 234700604949973937 c1: -138393009882380599706 c0: 14316133571027783489669 skew: 1212.586 type: gnfs # adj. I(F,S) = 48.485 # E(F1,F2) = 7.715713e-004 # GGNFS version 0.72.10 polyselect. # Options were: # lcd=1, enumLCD=4, maxS1=59.00000000, seed=1106805100. # maxskew=2000.0 # These parameters should be manually set: rlim: 2300000 alim: 2300000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.6 alambda: 2.6 qintsize: 100000 type: gnfs Factor base limits: 2300000/2300000 Large primes per side: 3 Large prime bits: 26/26 Sieved special-q in [1150000, 2950001 ) Relations: rels:4872236, finalFF:389220 Initial matrix: 338555 x 389220 with sparse part having weight 31290595. Pruned matrix : 300703 x 302459 with weight 22966843. Total sieving time: 24.81 hours. Total relation processing time: 0.52 hours. Matrix solve time: 3.39 hours. Time per square root: 0.30 hours. Prototype def-par.txt line would be: gnfs,103,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000 total time: 29.02 hours. --------- CPU info (if available) ----------

By Anton Korobeynikov / GGNFS-0.72.10

(8·10¹⁴²-53)/9 = (8)₁₄₁3_<142> = 3 · 7 · 47 · 109 · 12380995663_<11> · C127

C127 = P53 · P75

P53 = 33888609240438223080463262859555599851225968700234303_<53>

P75 = 196922123059548881537983688778111022921835799994407155301004448606279170909_<75>

Jan 30, 2005

By Wataru Sakai / GMP-ECM 5.0.3

(7·10¹⁹¹-43)/9 = (7)₁₉₀3_<191> = 896542069 · 151215945352530419_<18> · C165

C165 = P37 · C129

P37 = 1555638964216566815934684090827554843_<37>

C129 = [368789422473978553513879442510661662693561154915114012018347239100356861441258362855348314765701232643294412697841740600275348601_<129>]

(7·10¹⁹⁴-43)/9 = (7)₁₉₃3_<194> = 73 · 109 · 3137 · 9001482062398106549_<19> · 54197355242387283113232438971_<29> · C139

C139 = P30 · C110

P30 = 494427323393845610326557724357_<30>

C110 = [12918053425195422867659167365721895242221179503016675627829364459926836953922196214827503153705191131697829699_<110>]

Jan 29, 2005 (3rd)

By Shusuke Kubota / GMP-ECM 5.0.3

(10¹⁸⁰+11)/3 = (3)₁₇₉7_<180> = C180

C180 = P42 · C139

P42 = 272758247071676178699145697658054668532869_<42>

C139 = [1222083427034706903773029817610399404719151533461635367757974162856636259210681170667958475510140547632037054709315922473113662735165663173_<139>]

Jan 29, 2005 (2nd)

By Makoto Kamada / GMP-ECM 5.0.3

(13·10¹⁹⁹-1)/3 = 4(3)₁₉₉_<200> = 467 · 3593 · 12351951019_<11> · 358544381170561639_<18> · 609809572708767925987_<21> · C145

C145 = P27 · P119

P27 = 414006712790869543604715607_<27>

P119 = 23097655390674302963205407801116223882216104693387423696032603692136922300690030400151134874018595384315258584663662047_<119>

Jan 29, 2005

By Makoto Kamada / msieve 0.88

(71·10¹⁷⁸-17)/9 = 7(8)₁₇₇7_<179> = 79 · 181 · 239 · 16543979 · 2640168793_<10> · 1124266841391479029_<19> · 156702928315222366369_<21> · 34606454852969814749777_<23> · C95

C95 = P28 · P68

P28 = 1999279693243405200196603009_<28>

P68 = 43357419650292760648596259849079473200578810565197817444903313602277_<68>

Jan 28, 2005

By Samuel Chong / GGNFS-0.72.9

(43·10¹³⁵-7)/9 = 4(7)₁₃₅_<136> = 172223 · 1955141 · 2370475339_<10> · C115

C115 = P53 · P63

P53 = 20113969400234884357299024463802236148461423164101423_<53>

P63 = 297593530945123495538087166565574899848888831807708608696258087_<63>

(4·10¹⁴⁷+41)/9 = (4)₁₄₆9_<147> = 761 · 16103 · 20173 · 329701984581417769_<18> · C118

C118 = P44 · P74

P44 = 68172780040916639898861957652287052127187331_<44>

P74 = 79987657394499381786361261144859395653799469410136338617989988385127812049_<74>

Jan 27, 2005 (2nd)

By Anton Korobeynikov / GGNFS-0.72.10

(8·10¹⁴⁴-53)/9 = (8)₁₄₃3_<144> = 113 · 1547593 · C136

C136 = P32 · P104

P32 = 98874534329867327834323401408607_<32>

P104 = 51407658864286153022047140162406394772762482795020679173817766612605389163380654148507305308453154776341_<104>

Jan 27, 2005

By Samuel Chong / GGNFS-0.72.9

(43·10¹²⁹-7)/9 = 4(7)₁₂₉_<130> = 29 · 1060367203986593857742968219_<28> · C102

C102 = P46 · P57

P46 = 1466765255916531156716260278019503628162205803_<46>

P57 = 105928066987343852954110690612414904138520291983964331709_<57>

Jan 26, 2005

By Samuel Chong / GGNFS-0.72.9

(4·10¹⁴⁵+41)/9 = (4)₁₄₄9_<145> = 3² · C144

C144 = P36 · P43 · P66

P36 = 311639646415583405868739933383622067_<36>

P43 = 9342760942721157600138225249869234623600873_<43>

P66 = 169608273370228887591346243959811817700474890645069576214606311371_<66>

(43·10¹²⁷-7)/9 = 4(7)₁₂₇_<128> = C128

C128 = P37 · P91

P37 = 8306621478319839729790549785398150959_<37>

P91 = 5751770187491638722193994761888721121100099637551248660994153282018554687337524403351531103_<91>

Jan 25, 2005 (2nd)

By Anton Korobeynikov / GGNFS-0.72.10 gnfs

(8·10¹⁴³-53)/9 = (8)₁₄₂3_<143> = 3667227200797_<13> · 31195217569669_<14> · 18240780104079223_<17> · C101

C101 = P33 · P69

P33 = 265630684668980903549375638658543_<33>

P69 = 160361456385813263542897175749432102283006701269592744015233126854779_<69>

g101-txt101.txt

Number: tst101 N=42596923454278497078647191088464444190421721466372297703553010241468223215380400492039815532328726997 ( 101 digits) Divisors found: r1=265630684668980903549375638658543 (pp33) r2=160361456385813263542897175749432102283006701269592744015233126854779 (pp69) Version: GGNFS-0.72.10 Total time: 19.99 hours. Scaled time: 19.65 units (timescale=0.983). Factorization parameters were as follows: name: tst101 n: 42596923454278497078647191088464444190421721466372297703553010241468223215380400492039815532328726997 m: 4149902916845931018 deg: 5 c5: 34608960 c4: 24146463594 c3: -378171920810443 c2: -11451547291701080 c1: 16099344463047285694 c0: 1304110120648123314977 skew: 391.879 type: gnfs # adj. I(F,S) = 48.177 # E(F1,F2) = 1.593380e-003 # GGNFS version 0.72.10 polyselect. # Options were: # lcd=1, enumLCD=48, maxS1=58.00000000, seed=1106558683. # maxskew=1500.0 # These parameters should be manually set: rlim: 1800000 alim: 1800000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 type: gnfs Factor base limits: 1800000/1800000 Large primes per side: 3 Large prime bits: 26/26 Sieved special-q in [900000, 2400001) Relations: rels:4356145, finalFF:346113 Initial matrix: 270357 x 346113 with sparse part having weight 29394307. Pruned matrix : 220829 x 222244 with weight 19395795. Polynomial selection time: 0.78 hours. Total sieving time: 16.67 hours. Total relation processing time: 0.41 hours. Matrix solve time: 1.89 hours. Time per square root: 0.24 hours. Prototype def-par.txt line would be: gnfs,100,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000 total time: 19.99 hours. --------- CPU info (if available) ----------

Jan 25, 2005

By Makoto Kamada / GMP-ECM 5.0.3

(71·10¹⁵⁹-17)/9 = 7(8)₁₅₈7_<160> = 3² · 11 · 19 · 1109 · 3623 · 5261 · C147

C147 = P27 · C120

P27 = 267040418211849516599855437_<27>

C120 = [742988107331573169768454412702031408998872140733172977787877843873048826893893338050791024272278018376594598175484284973_<120>]

Jan 24, 2005 (3rd)

By Makoto Kamada / GMP-ECM 5.0.3

(23·10¹⁸⁸+1)/3 = 7(6)₁₈₇7_<189> = 13 · 41 · 929 · 1163 · 2371 · 357136939157939605250647_<24> · 5115162052884287672659773391_<28> · C126

C126 = P31 · P96

P31 = 1627282333650777527744192586493_<31>

P96 = 188884060647485719196975720507829113063803609033016695447415075661997303958176318275182694166627_<96>

10¹⁶⁷-3 = (9)₁₆₆7_<167> = 19 · 29 · 359 · 16301 · 45083 · 18584261089_<11> · C143

C143 = P29 · P115

P29 = 31526805695475073355593889809_<29>

P115 = 1174090648077126681817106763823790572520076120924866337337210638180510291756960164289667261485502749802903120385251_<115>

2·10¹⁶⁸-9 = 1(9)₁₆₇1_<169> = 7 · 1087 · 8537489959_<10> · C155

C155 = P42 · C113

P42 = 367694783292840547667053261930530350154041_<42>

C113 = [83730702959555558644286753585554649649572317505120979221312693092511006979457450320140886370830911981249481160321_<113>]

GMP-ECM 5.0.3 [powered by GMP 4.1.4] [ECM]
Input number is 30787342679670983823378399252606347030336003272280923283699603056875939873788131116591431665613642499442541468928901377218374192317624510716557569767007161 (155 digits)
Using B1=400000, B2=227535984, polynomial Dickson(3), sigma=4275561283
Step 1 took 13157ms
Step 2 took 9203ms
********** Factor found in step 2: 367694783292840547667053261930530350154041
Found probable prime factor of 42 digits: 367694783292840547667053261930530350154041
Composite cofactor 83730702959555558644286753585554649649572317505120979221312693092511006979457450320140886370830911981249481160321 has 113 digits

Jan 24, 2005 (2nd)

By Anton Korobeynikov / GGNFS-0.72.10

3·10¹³⁶-1 = 2(9)₁₃₆_<137> = C137

C137 = P51 · P86

P51 = 835817364193303896837129099287216945204282453961493_<51>

P86 = 35893008790209509851297098644911189995904355230294598135551859369093208362424725320643_<86>

Jan 24, 2005

By Samuel Chong / GGNFS-0.72.9

(4·10¹³¹+41)/9 = (4)₁₃₀9_<131> = 23 · 449 · C127

C127 = P29 · P47 · P52

P29 = 53667381384073793283527463319_<29>

P47 = 40483367336257657911753042423647935633200963737_<47>

P52 = 1980871349521560279686106487098060399587464329332729_<52>

(4·10¹³²+41)/9 = (4)₁₃₁9_<132> = 167 · C130

C130 = P35 · P96

P35 = 23876655883801063354500384007994971_<35>

P96 = 111462174253422853466965191715102444621771723912623092912665150476232789003430624266887383441557_<96>

(4·10¹³³+41)/9 = (4)₁₃₂9_<133> = 3 · 21851 · 2063537653540355875807_<22> · C107

C107 = P41 · P66

P41 = 39306070176518266024608023750632022063959_<41>

P66 = 835897231887963071465720802479009217028217814846054798480268268041_<66>

(4·10¹³⁵+41)/9 = (4)₁₃₄9_<135> = 9433 · 1863395673462752669323399_<25> · C107

C107 = P33 · P74

P33 = 367852319949684139889299350769339_<33>

P74 = 68736761276947901997740759873990247166537768433177316434590190256258788573_<74>

(4·10¹⁴⁰+41)/9 = (4)₁₃₉9_<140> = 7 · 2837 · C136

C136 = P61 · P75

P61 = 6162810540980638514621676166635472399639312666501353120536783_<61>

P75 = 363146020506074456705677461588186872536152653499208281130754447208548048917_<75>

(4·10¹⁴²+41)/9 = (4)₁₄₁9_<142> = 3 · 19 · 1289 · C137

C137 = P67 · P71

P67 = 1994570295386634497361837995800937052721393273499571296549230390121_<67>

P71 = 30327761907815293578202913377387926789846433157975749988184323820533753_<71>

Jan 23, 2005 (3rd)

GGNFS-0.72.10 was released.

GGNFS - A Number Field Sieve implementation (Chris Monico)

Jan 23, 2005 (2nd)

By Anton Korobeynikov / GGNFS

(8·10¹⁴⁶-53)/9 = (8)₁₄₅3_<146> = C146

C146 = P39 · P108

P39 = 728438180100029837765392310287425021889_<39>

P108 = 122026674764195611505668346378276953546398986947584255245332154671358098505851142077656105459087163858440947_<108>

Jan 23, 2005

By Makoto Kamada / GMP-ECM 5.0.3

(17·10¹⁷⁹-71)/9 = 1(8)₁₇₈1_<180> = 7 · 11 · 103 · 239 · 9930637 · 14023579 · 1231364489_<10> · C150

C150 = P27 · C123

P27 = 684907717263391040869653253_<27>

C123 = [848449316084389817643011196778947409869968028866799271194363915265764135583327280771252139360363616774249883102288406904799_<123>]

(2·10¹⁹⁴+43)/9 = (2)₁₉₃7_<194> = 3 · 239 · 599 · 58569143780233_<14> · C174

C174 = P34 · C141

P34 = 1849056226165216886834180725538741_<34>

C141 = [477774003799284931757027533443930044058200204000675666012749694678436957568955126173252976787042882398355584631203659863078083498304434616973_<141>]

Jan 22, 2005 (2nd)

GGNFS-0.72.9 was released.

GGNFS - A Number Field Sieve implementation (Chris Monico)

Jan 22, 2005

By Makoto Kamada / GMP-ECM 5.0.3

(71·10¹⁶⁴-17)/9 = 7(8)₁₆₃7_<165> = 47 · 59 · 239 · 241 · 11813 · 4917763985780197_<16> · 39021409509760665532289_<23> · C115

C115 = P27 · P88

P27 = 695956539141741369581981293_<27>

P88 = 3130675593833141774600796619014181735991086661666814604742592715409649688056950822198273_<88>

8·10¹⁵⁸-1 = 7(9)₁₅₈_<159> = 71 · 103 · 6027899447_<10> · C146

C146 = P26 · P120

P26 = 58035363500147496453886153_<26>

P120 = 312705633652646293774866013397432640235661424127059883472738163634561966283402883091409272622235204199970036039513345953_<120>

Jan 21, 2005 (3rd)

By Makoto Kamada / GMP-ECM 5.0.3

(4·10¹⁷³-7)/3 = 1(3)₁₇₂1_<174> = 11 · 83 · 571 · 5351 · 29706225733_<11> · 230060480135911_<15> · C139

C139 = P25 · P114

P25 = 8527870812856342419311011_<25>

P114 = 820099955775031642309128668440320586564012084875853074714999001512657627818866217059893404648422426135592856334279_<114>

(14·10¹⁹⁸-41)/9 = 1(5)₁₉₇1_<199> = 3 · 17 · 492629 · 2105064979_<10> · 4148518189_<10> · 772452140518292796536508293_<27> · C145

C145 = P26 · P120

P26 = 80363644691962579882145527_<26>

P120 = 114210403360535334882307260798118852699240064132154723795457367288939258602287596404942450030093312247774208562043299309_<120>

Jan 21, 2005 (2nd)

By Samuel Chong / GGNFS-0.72.8

(4·10¹⁴³+41)/9 = (4)₁₄₂9_<143> = C143

C143 = P34 · P55 · P55

P34 = 6596586957239466658108736141770721_<34>

P55 = 1786946597425066428213032096838458166359765677208308933_<55>

P55 = 3770392963514180741913123765503790583403442156167510093_<55>

Jan 21, 2005

By Makoto Kamada / GMP-ECM 5.0.3

(34·10¹⁷⁷-43)/9 = 3(7)₁₇₆3_<178> = 7 · 11 · 31² · 15199 · 7742321 · 133296326656377371_<18> · 274152178351674353_<18> · 7858256848771812491_<19> · C109

C109 = P30 · P79

P30 = 168343045860875408912212396297_<30>

P79 = 8974387619178279288191663896913172212842581783726254737006634086586782651334671_<79>

Jan 20, 2005 (3rd)

By Makoto Kamada / GMP-ECM 5.0.3, msieve 0.88

(68·10¹⁶¹+13)/9 = 7(5)₁₆₀7_<162> = 11 · 181 · 2543 · 780823 · 183398071 · 136054243153_<12> · 353986204609_<12> · C119

C119 = P31 · P33 · P56

P31 = 1309692916384669895558873970167_<31>

P33 = 876825312821863264214520432712957_<33>

P56 = 18841715277677933477095596572908638611643119231646275591_<56>

Jan 20, 2005 (2nd)

By Wataru Sakai / GMP-ECM 5.0.3

(2·10¹⁶⁸-11)/9 = (2)₁₆₇1_<168> = 197 · 474369113 · 5575500037_<10> · 1555302784493_<13> · C135

C135 = P31 · C104

P31 = 4113790312911686726221727300257_<31>

C104 = [66659788705516088973181816475773572954522890085369141618393936749895295735858685972632285539213254203153_<104>]

Jan 20, 2005

GGNFS-0.72.8 was released.

GGNFS - A Number Field Sieve implementation (Chris Monico)

Jan 19, 2005 (5th)

By Anton Korobeynikov / GGNFS-0.72.6 gnfs

(10¹⁶⁹+53)/9 = (1)₁₆₈7_<169> = 7 · 423599701769_<12> · 1052364121297714227371_<22> · 18307918306050479551975785178628311_<35> · C101

C101 = P47 · P54

P47 = 22547873392796789087451750509829821294031082489_<47>

P54 = 862567753625550460258829549849468394702409355254235911_<54>

g101-txt101.txt

Number: tst101 N=19449068501458045327500024953679334708298737317275986294768751101310893283329289738705475713907062479 ( 101 digits) Divisors found: r1=22547873392796789087451750509829821294031082489 (pp47) r2=862567753625550460258829549849468394702409355254235911 (pp54) Version: GGNFS-0.72.6 Total time: 16.39 hours. Scaled time: 16.39 units (timescale=1.000). Factorization parameters were as follows: name: tst101 n: 19449068501458045327500024953679334708298737317275986294768751101310893283329289738705475713907062479 m: 2448817090763554461 deg: 5 c5: 220860000 c4: 183159416490 c3: 591612143937818 c2: -44857162790061601 c1: -39350588613153616196 c0: -2647575018210068192192 skew: 450.512 type: gnfs # adj. I(F,S) = 49.371 # E(F1,F2) = 1.931181e-003 # GGNFS version 0.72.6 polyselect. # Options were: # lcd=1, enumLCD=720, maxS1=58.00000000, seed=1106038418. # maxskew=1500.0 # These parameters should be manually set: rlim: 1800000 alim: 1800000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 type: gnfs Factor base limits: 1800000/1800000 Large primes per side: 3 Large prime bits: 26/26 Sieved special-q in [900000, 2000001) Relations: rels:4070017, finalFF:336106 Initial matrix: 270891 x 336106 with sparse part having weight 24543887. Pruned matrix : 227640 x 229058 with weight 15412282. Polynomial selection time: 0.68 hours. Total sieving time: 13.25 hours. Total relation processing time: 0.55 hours. Matrix solve time: 1.70 hours. Time per square root: 0.22 hours. Prototype def-par.txt line would be: gnfs,100,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000 total time: 16.39 hours. --------- CPU info (if available) ----------

Jan 19, 2005 (4th)

77...773 was extended to n≤200.

Jan 19, 2005 (3rd)

By Makoto Kamada / GMP-ECM 5.0.3

(2·10¹⁷⁴+61)/9 = (2)₁₇₃9_<174> = 7 · 31 · 2039 · 2287 · 1601389 · C159

C159 = P32 · C127

P32 = 14498457890212761006317487033463_<32>

C127 = [9458574948280310973463215284122251208233920830270650166660489119419258545136573550367434249759799039387649912266029068268959087_<127>]

Jan 19, 2005 (2nd)

77...773 (n≤150) was completed.

Jan 19, 2005

By Samuel Chong / GGNFS-0.72.7

(7·10¹³⁷-43)/9 = (7)₁₃₆3_<137> = 47 · 281 · 467 · 3613 · 4051 · C123

C123 = P55 · P69

P55 = 1609462872902294386964594902687715462077410912121008809_<55>

P69 = 535332123319974483803426098906768820815861665418741723695646159976551_<69>

(7·10¹⁴⁵-43)/9 = (7)₁₄₄3_<145> = 3 · 167 · C143

C143 = P55 · P88

P55 = 5020624016062962068352721050080953999149535961830826777_<55>

P88 = 3092146811392682938559683116341471710370422700462198507599620512316487424365515253419649_<88>

(7·10¹⁴⁸-43)/9 = (7)₁₄₇3_<148> = 3 · 83777 · 251051931301951447_<18> · C126

C126 = P50 · P77

P50 = 11169894074629301900764249623641107124742529008013_<50>

P77 = 11035622856482334667063309860882406037457988069949400651599212226418347689453_<77>

Jan 18, 2005 (2nd)

By Anton Korobeynikov

(13·10¹⁵⁹-31)/9 = 1(4)₁₅₈1_<160> = 11 · 523 · 104233 · 42526728145464632871517871_<26> · 2950533436935279361264099289_<28> · C98

C98 = P28 · P32 · P39

P28 = 5098170267527104959656024477_<28>

P32 = 13312271543407816990395472029731_<32>

P39 = 282860442204366748889504755565276951753_<39>

Jan 18, 2005

By Naoki Yamamoto / msieve 0.88

(64·10¹⁸⁵-1)/9 = 7(1)₁₈₅_<186> = 3 · 547 · 42841 · 684026888510929_<15> · 3049514405622067_<16> · 45950494347653342479_<20> · 7659796674997238876119920369348199_<34> · C95

C95 = P47 · P48

P47 = 46357862561024071739812415542089054876850698721_<47>

P48 = 297190270680794188309811459586789961263549679237_<48>

Jan 17, 2005

By Makoto Kamada / GMP-ECM 5.0.3

(64·10¹⁸⁵-1)/9 = 7(1)₁₈₅_<186> = 3 · 547 · 42841 · 684026888510929_<15> · 3049514405622067_<16> · 45950494347653342479_<20> · C129

C129 = P34 · C95

P34 = 7659796674997238876119920369348199_<34>

C95 = [13777105722693798770864401956219655870467401670901097010845482852304249130000832065658876155877_<95>]

Jan 16, 2005 (3rd)

By Makoto Kamada / GMP-ECM 5.0.3

(13·10¹⁵⁹-31)/9 = 1(4)₁₅₈1_<160> = 11 · 523 · 104233 · 42526728145464632871517871_<26> · C125

C125 = P28 · C98

P28 = 2950533436935279361264099289_<28>

C98 = [19197236694014951171359105693105241872827979534001463886927990754613313350758601169487751757779311_<98>]

Jan 16, 2005 (2nd)

By Shusuke Kubota / GGNFS-0.72.7

(8·10¹³⁵-53)/9 = (8)₁₃₄3_<135> = 233 · 313 · 12239 · 17453973181_<11> · C116

C116 = P57 · P59

P57 = 955065740876947098942395080400811076577942460584696099041_<57>

P59 = 59741168529733217947490811959269880754561650757713766107233_<59>

(8·10¹³⁶-53)/9 = (8)₁₃₅3_<136> = 3 · 7 · 19 · 311 · 10776518697322390931117703197455067_<35> · C97

C97 = P39 · P59

P39 = 103229002732754319539664765982073337707_<39>

P59 = 64392305423677554109391485779344223405171210988042850438963_<59>

Jan 16, 2005

The factor tables of the form Generalized quasi-repdigit D(R)_wE were completed up to n=100.

199...991, 22...229, 311...113, 322...223, 344...443, 355...553 were extended up to n=200.

Jan 14, 2005 (4th)

By Makoto Kamada / GMP-ECM 5.0.3

(14·10¹⁷⁷-41)/9 = 1(5)₁₇₆1_<178> = 3² · 11 · 571 · 30557 · 1135247 · C162

C162 = P26 · P137

P26 = 13524707579712638416918639_<26>

P137 = 58652329050482204926580668886768307652706317108596492167614142279064516720797658449067595876337940743938315692091834512743153093843973499_<137>

Jan 14, 2005 (3rd)

By Shusuke Kubota / GGNFS-0.72.6

(8·10¹³²-53)/9 = (8)₁₃₁3_<132> = C132

C132 = P41 · P92

P41 = 17326641585537557981615870955796887963391_<41>

P92 = 51301856998694947390609649390444756756272895777203065430121529570448470060695898268565572813_<92>

By Shusuke Kubota / GMP-ECM 5.0.3

(8·10¹³⁶-53)/9 = (8)₁₃₅3_<136> = 3 · 7 · 19 · 311 · C131

C131 = P35 · C97

P35 = 10776518697322390931117703197455067_<35>

C97 = [6647153472549161024830592978826845047521541214126021582105697380961107002084469636825603489877841_<97>]

Jan 14, 2005 (2nd)

22...229 (n≤150) was completed.

Jan 14, 2005

By Greg Childers / GGNFS

(2·10¹³³+61)/9 = (2)₁₃₂9_<133> = 3 · 1540783 · C126

C126 = P38 · P88

P38 = 76659272568533364674950913368039637707_<38>

P88 = 6271335854617121112605951447879714072977473642544163003059143418884633284895732088567003_<88>

(2·10¹³⁶+61)/9 = (2)₁₃₅9_<136> = 3² · 53 · 107 · 1373 · 71761 · C123

C123 = P53 · P71

P53 = 22514684190740234642656336175086571770563997955136439_<53>

P71 = 19627295029227531976369129749063722951968705641486901545197279608510433_<71>

(2·10¹⁴⁰+61)/9 = (2)₁₃₉9_<140> = 130201 · C135

C135 = P60 · P76

P60 = 135306638863259648927407393290994462378562677732498038686453_<60>

P76 = 1261403583657069692876519081007425430385283883303099046253218333817686677193_<76>

(2·10¹⁴²+61)/9 = (2)₁₄₁9_<142> = 3 · 29 · 4913093567_<10> · 13187978173_<11> · C120

C120 = P37 · P84

P37 = 2935068716673502232614591276072987471_<37>

P84 = 134312584261722729526390267792196146454274361885870677445309049807702262927191754847_<84>

(2·10¹⁴³+61)/9 = (2)₁₄₂9_<143> = 17 · 1652363 · 42804926341_<11> · C125

C125 = P38 · P87

P38 = 36257386863382384421250120847702233581_<38>

P87 = 509733115104558949306643010103587728529373378279761392818565255240502217399235804927119_<87>

(2·10¹⁴⁵+61)/9 = (2)₁₄₄9_<145> = 3³ · 59 · C142

C142 = P63 · P80

P63 = 137243634497943138465177504800034675803511872208203098687538687_<63>

P80 = 10164347395048245953311552290425198910952701096601638084559651522542579075770819_<80>

Jan 13, 2005

GGNFS-0.72.7 was released.

GGNFS - A Number Field Sieve implementation (Chris Monico)

Jan 10, 2005 (3rd)

By Makoto Kamada / GMP-ECM 5.0.3

(17·10¹⁵²-71)/9 = 1(8)₁₅₁1_<153> = 169022969 · C145

C145 = P28 · P117

P28 = 1788032748531423785318259953_<28>

P117 = 625007482986166255657032845722275457980936538354720291897060772159527714074714556065604804588909744502123848038423433_<117>

Jan 10, 2005 (2nd)

By Shusuke Kubota / GGNFS-0.72.6

(8·10¹²⁹-53)/9 = (8)₁₂₈3_<129> = 23 · C128

C128 = P53 · P76

P53 = 34262114255019213954132320634252430467001059678740491_<53>

P76 = 1127990605235561490186653399925956982872495997102126478481856600490755451631_<76>

(8·10¹³⁰-53)/9 = (8)₁₂₉3_<130> = 3² · 7 · 27127 · 251197 · C119

C119 = P36 · P83

P36 = 366375558614016565239659633233608049_<36>

P83 = 56515063342351620321680905137873953283066073678824245424934368291457909101738191911_<83>

Jan 10, 2005

By Makoto Kamada / GMP-ECM 5.0.3

(86·10¹⁷⁹+31)/9 = 9(5)₁₇₈9_<180> = 11² · 29 · 1009 · C174

C174 = P33 · C142

P33 = 172481378433347117244207890024597_<33>

C142 = [1564729221160690840180675501546388919552358971159291504060163973112140540486495852585796073536816273513606954473923841756335893925588760663087_<142>]

Jan 9, 2005

By Wataru Sakai / GMP-ECM

(10¹⁹⁶+53)/9 = (1)₁₉₅7_<196> = 19 · 739 · 1297 · 175039 · 259878475236857_<15> · C169

C169 = P31 · C138

P31 = 1510283330627080248420932638301_<31>

C138 = [888087817500543690374777485610139659656184329191590913987962706355569305479165393738154255599358025085365797320711586900377767369297044527_<138>]

Jan 8, 2005

By Makoto Kamada / GMP-ECM 5.0.3

(86·10¹⁸⁴+31)/9 = 9(5)₁₈₃9_<185> = 3 · 349 · C182

C182 = P32 · C151

P32 = 13883077929495122457509792250269_<32>

C151 = [6573906133418714339480290893664669869576775592414257752835237999479298025025877557123206364149349159826894633396867531495820388385976492872001927909413_<151>]

(23·10¹⁹³+1)/3 = 7(6)₁₉₂7_<194> = 7 · 11 · 41 · 72889 · 11668771 · 87497009 · C171

C171 = P28 · P143

P28 = 3939095869415760815044194829_<28>

P143 = 82842869296193650103979158437198673702821280659729131952979685502146705704683395176226706165293079964337321582336015988808237078409686543887009_<143>

Jan 7, 2005

By Wataru Sakai / GMP-ECM

(10¹⁷⁶+53)/9 = (1)₁₇₅7_<176> = 204814037198857354479454794029_<30> · C146

C146 = P26 · P121

P26 = 24142468161424690153625023_<26>

P121 = 2247067430163467830308878741940021808586686417331588986682295929189429043464451190381727259216909017141517291749620120351_<121>

Jan 6, 2005

By Makoto Kamada / GMP-ECM 5.0.3

(68·10¹⁸⁵+13)/9 = 7(5)₁₈₄7_<186> = 11 · 124717 · 2084901173_<10> · 18342459200341409709194854867_<29> · C143

C143 = P27 · P116

P27 = 689454221445704916540092861_<27>

P116 = 20888131458295448968395603432501681827159928420078510181041084760728724191669856758775941465903753101472892751997161_<116>

Jan 5, 2005

By Makoto Kamada / GMP-ECM 5.0.3

(35·10¹⁶⁶-53)/9 = 3(8)₁₆₅3_<167> = 3 · 13 · 1487 · 3733 · 1378751729_<10> · 560590050564953_<15> · 1195756684702150733_<19> · C117

C117 = P28 · P90

P28 = 1241974992267077749180834709_<28>

P90 = 156496577856073603189539481957862509719637814574141652989364822636149186671602061556864263_<90>

Jan 4, 2005 (2nd)

By Makoto Kamada / GMP-ECM 5.0.3

(82·10¹⁸⁸+71)/9 = 9(1)₁₈₇9_<189> = 733 · 309031 · 28981573 · 8432740458677_<13> · C161

C161 = P26 · P135

P26 = 26087852303659289678828477_<26>

P135 = 630864815448734189879614352954600419962079505614736280404510478322215130619438440194482117436402006235050929487403726948241835389154409_<135>

Jan 4, 2005

By Wataru Sakai / GMP-ECM

(10²⁰⁰+71)/9 = (1)₁₉₉9_<200> = 19 · 43 · 1861 · 4339 · 218924581 · C181

C181 = P30 · C152

P30 = 641765730765796490791870295201_<30>

C152 = [11987492841028974444069975881322827688459566087864658033800299423923567334917633398263313181119727174257429479650354010252402175687768873513840520705293_<152>]

(10¹⁷⁶+53)/9 = (1)₁₇₅7_<176> = C176

C176 = P30 · C146

P30 = 204814037198857354479454794029_<30>

C146 = [54249753889295920530701764617164228789325814935554640509723433375942762183391062434130725726967549293659942514710592465325140013355967420185143073_<146>]

Jan 3, 2005 (2nd)

By Makoto Kamada / GMP-ECM 5.0.3, msieve 0.87

(22·10¹⁴⁵-1)/3 = 7(3)₁₄₅_<146> = 73 · 103 · 5737 · 11247967 · 3362902086834474880808338021_<28> · C104

C104 = P28 · P38 · P39

P28 = 1740190116186785418319832711_<28>

P38 = 42822575997301455957613933690163977513_<38>

P39 = 603113081943477257247405841987601503511_<39>

Jan 3, 2005

By Makoto Kamada / GMP-ECM 5.0.3

(19·10¹⁶⁴-1)/9 = 2(1)₁₆₄_<165> = 107 · 229 · 889687 · 125707493 · 845802201983_<12> · C134

C134 = P29 · P106

P29 = 22592882399170460816494928669_<29>

P106 = 4031372864845724550299872900385168375806246814478667447835285938844407419313727510462772661729749756710041_<106>

Jan 2, 2005

By Sinkiti Sibata / GGNFS-0.70.1

(16·10¹⁴³-7)/9 = 1(7)₁₄₃_<144> = 3 · 23 · 31 · 15307751399_<11> · 6860117275771810733_<19> · C111

C111 = P36 · P38 · P39

P36 = 133025645920229975435839929179483713_<36>

P38 = 37737763412425626580053076175847020239_<38>

P39 = 157656620943088215530674206168564009047_<39>

目次