98835959822746937698308102564263258552782657865133587909723978877125659006562567345781266447367330423891517396177228162110858997<128>

275644563889396195991601548242531083466591268839139865547<57>
358563065522327430052239803536935822255232574805406605801612939291916351<72>

Number: trial
N=98835959822746937698308102564263258552782657865133587909723978877125659006562567345781266447367330423891517396177228162110858997
  ( 128 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=275644563889396195991601548242531083466591268839139865547 (pp57)
 r2=358563065522327430052239803536935822255232574805406605801612939291916351 (pp72)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 71.01 hours.
Scaled time: 31.96 units (timescale=0.450).
Factorization parameters were as follows:
n: 98835959822746937698308102564263258552782657865133587909723978877125659006562567345781266447367330423891517396177228162110858997
m: 10000000000000000000000000000000
c5: 200
c0: 7
skew: 1
type: snfs
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, 1
)
Primes: RFBsize:216816, AFBsize:216921, largePrimes:5627776 encountered
Relations: rels:5564900, finalFF:499188
Max relations in full relation-set: 0
Initial matrix: 433802 x 499188 with sparse part having weight 36071355.
Pruned matrix : 403610 x 405843 with weight 26335382.
Total sieving time: 59.98 hours.
Total relation processing time: 0.55 hours.
Matrix solve time: 10.00 hours.
Time per square root: 0.48 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: 71.01 hours.
 --------- CPU info (if available) ----------

GGNFS-0.77.1-20060722-pentium4

Pentium 4 3.20 GHz, 1 Gig RAM, Windows XP and Cygwin

12958069581152065089700334183735480199819753791816814760004627272433457888819522067048753782066853574073171870347608059491626405404996336087026685857<149>

21393514829134244932337814471241<32>
605700824976428319254861005827037748162874928762405763234457258027843650353567084980102064536103816470993229797108377<117>

Number: n
N=12958069581152065089700334183735480199819753791816814760004627272433457888819522067048753782066853574073171870347608059491626405404996336087026685857
  ( 149 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=21393514829134244932337814471241 (pp32)
 r2=605700824976428319254861005827037748162874928762405763234457258027843650353567084980102064536103816470993229797108377 (pp117)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 37.29 hours.
Scaled time: 50.87 units (timescale=1.364).
Factorization parameters were as follows:
name: KA_2_160_3
n: 12958069581152065089700334183735480199819753791816814760004627272433457888819522067048753782066853574073171870347608059491626405404996336087026685857
skew: 0.81
deg: 5
c5: 20
c0: 7
m: 100000000000000000000000000000000
type: snfs
rlim: 3500000
alim: 3500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1400001)
Primes: RFBsize:250150, AFBsize:249316, largePrimes:7126735 encountered
Relations: rels:6696335, finalFF:602076
Max relations in full relation-set: 28
Initial matrix: 499532 x 602076 with sparse part having weight 35432862.
Pruned matrix : 408966 x 411527 with weight 19865620.
Total sieving time: 33.82 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 3.16 hours.
Total square root time: 0.12 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000
total time: 37.29 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

540045239034688628751879697373871298969883014741235343144711185616205145128356800782052470756952541880048918185633946948049410617464398715711<141>

544113926826738557075513436540781338666336584873<48>
992522360499429901684593984914140940525360628309658561254022439588152781604125217695717239207<93>

Number: n
N=540045239034688628751879697373871298969883014741235343144711185616205145128356800782052470756952541880048918185633946948049410617464398715711
  ( 141 digits)
SNFS difficulty: 165 digits.
Divisors found:

Mon Jan 28 03:37:34 2008  prp48 factor: 544113926826738557075513436540781338666336584873
Mon Jan 28 03:37:34 2008  prp93 factor: 992522360499429901684593984914140940525360628309658561254022439588152781604125217695717239207
Mon Jan 28 03:37:34 2008  elapsed time 00:57:20 (Msieve 1.33)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 37.52 hours.
Scaled time: 68.41 units (timescale=1.823).
Factorization parameters were as follows:
name: KA_2_163_3
n: 540045239034688628751879697373871298969883014741235343144711185616205145128356800782052470756952541880048918185633946948049410617464398715711
skew: 2.04
deg: 5
c5: 1
c0: 35
m: 1000000000000000000000000000000000
type: snfs
rlim: 3500000
alim: 3500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 2516603)
Primes: RFBsize:250150, AFBsize:249871, largePrimes:7416724 encountered
Relations: rels:6907833, finalFF:557563
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 37.37 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000
total time: 37.52 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

2138536406822464853380515128160509298721046626309122662575126509322502699271554758404020173681897291045619617085880754407260710391097677135623<142>

135175420835923295308837910165690077<36>
15820453108988154482791229654640228746372406550518557422884079078297050679566535405743149235122673945634099<107>

GMP-ECM 6.1.3 [powered by GMP 4.2.2] [ECM]
Input number is 2138536406822464853380515128160509298721046626309122662575126509322502699271554758404020173681897291045619617085880754407260710391097677135623 (142 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3789978827
Step 1 took 7281ms
Step 2 took 1130ms
********** Factor found in step 2: 135175420835923295308837910165690077
Found probable prime factor of 36 digits: 135175420835923295308837910165690077
Probable prime cofactor 15820453108988154482791229654640228746372406550518557422884079078297050679566535405743149235122673945634099 has 107 digits

Core 2 Quad Q6600

4900741048938921529386312376049753422014062526470395527666102273448608728036064841441443726000645540939103525055300397035584580148478781490647789191<148>

10579117484643669985321526488483937482639067300717328050482541<62>
463246679702034732206614919683068341832261226156838899536755186335885948793861377955651<87>

Number: n
N=4900741048938921529386312376049753422014062526470395527666102273448608728036064841441443726000645540939103525055300397035584580148478781490647789191
  ( 148 digits)
SNFS difficulty: 166 digits.
Divisors found:

Mon Dec 31 10:05:46 2007  prp62 factor: 10579117484643669985321526488483937482639067300717328050482541
Mon Dec 31 10:05:46 2007  prp87 factor: 463246679702034732206614919683068341832261226156838899536755186335885948793861377955651
Mon Dec 31 10:05:46 2007  elapsed time 01:19:50 (Msieve 1.32)

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 48.46 hours.
Scaled time: 63.48 units (timescale=1.310).
Factorization parameters were as follows:
name: KA_2_165_3
n: 4900741048938921529386312376049753422014062526470395527666102273448608728036064841441443726000645540939103525055300397035584580148478781490647789191
skew: 0.81
deg: 5
c5: 20
c0: 7
m: 1000000000000000000000000000000000
type: snfs
rlim: 3200000
alim: 3200000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 2200000)
Primes: RFBsize:230209, AFBsize:229397, largePrimes:7279611 encountered
Relations: rels:6773272, finalFF:518245
Max relations in full relation-set: 28
Initial matrix: 459672 x 518245 with sparse part having weight 38557490.
Pruned matrix : 415223 x 417585 with weight 27293794.
Total sieving time: 45.28 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,3200000,3200000,28,28,48,48,2.5,2.5,100000
total time: 48.46 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

12037617046723468605626924896371158078923549938485194482958855970507181664139302569091093571951782614912001181491026391397577812391492441451368958711373<152>

2871978723164024191549374139558544135462013900057318167591<58>
4191401889447764303388864665063780609861896939555630361153238115797687072530286019054001194603<94>

Number: n
N=12037617046723468605626924896371158078923549938485194482958855970507181664139302569091093571951782614912001181491026391397577812391492441451368958711373
  ( 152 digits)
SNFS difficulty: 167 digits.
Divisors found:

Wed Nov 28 16:26:47 2007  prp58 factor: 2871978723164024191549374139558544135462013900057318167591
Wed Nov 28 16:26:47 2007  prp94 factor: 4191401889447764303388864665063780609861896939555630361153238115797687072530286019054001194603
Wed Nov 28 16:26:47 2007  elapsed time 01:44:43 (Msieve 1.30)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 74.04 hours.
Scaled time: 106.55 units (timescale=1.439).
Factorization parameters were as follows:
name: KA_2_166_3
n: 12037617046723468605626924896371158078923549938485194482958855970507181664139302569091093571951782614912001181491026391397577812391492441451368958711373
skew: 0.51
deg: 5
c5: 200
c0: 7
m: 1000000000000000000000000000000000
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 3700001)
Primes: RFBsize:216816, AFBsize:216921, largePrimes:7734112 encountered
Relations: rels:7208772, finalFF:447988
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 73.76 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 74.04 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

4018112476320963647194617559312925511372532354290249565022495815523720386385026834556628042670177642790261114138766659873405014576266701042753481505027<151>

25253094403184544346171495882979001456863037424443302102508569041<65>
159113667900210245746532907667701881096819030984060918003028803426828497942798849216147<87>

Number: n
N=4018112476320963647194617559312925511372532354290249565022495815523720386385026834556628042670177642790261114138766659873405014576266701042753481505027
  ( 151 digits)
SNFS difficulty: 171 digits.
Divisors found:

Tue Apr 14 12:01:12 2009  prp65 factor: 25253094403184544346171495882979001456863037424443302102508569041
Tue Apr 14 12:01:12 2009  prp87 factor: 159113667900210245746532907667701881096819030984060918003028803426828497942798849216147
Tue Apr 14 12:01:12 2009  elapsed time 01:23:33 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 35.03 hours.
Scaled time: 91.29 units (timescale=2.606).
Factorization parameters were as follows:
name: KA_2_170_3
n: 4018112476320963647194617559312925511372532354290249565022495815523720386385026834556628042670177642790261114138766659873405014576266701042753481505027
m: 10000000000000000000000000000000000
deg: 5
c5: 20
c0: 7
skew: 0.81
type: snfs
lss: 1
rlim: 5000000
alim: 5000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [2500000, 4422959)
Primes: RFBsize:348513, AFBsize:347941, largePrimes:15922524 encountered
Relations: rels:14992231, finalFF:680601
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1379854 hash collisions in 16218455 relations
Msieve: matrix is 860413 x 860661 (232.8 MB)

Total sieving time: 34.59 hours.
Total relation processing time: 0.44 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5000000,5000000,28,28,56,56,2.4,2.4,100000
total time: 35.03 hours.
 --------- CPU info (if available) ----------

8801411648695407860503430511695039947639589568426302424000467840247669217960103628208989791645553422237077252956448033034649082392378033579745278739<148>

56390005154416544681826780172930339218739525514197641976119497<62>
156081057708611840677346739255873403948097456743087062447764542935376890456624188622587<87>

Number: 22223_173
N=8801411648695407860503430511695039947639589568426302424000467840247669217960103628208989791645553422237077252956448033034649082392378033579745278739
  ( 148 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=56390005154416544681826780172930339218739525514197641976119497
 r2=156081057708611840677346739255873403948097456743087062447764542935376890456624188622587
Version: 
Total time: 113.11 hours.
Scaled time: 227.92 units (timescale=2.015).
Factorization parameters were as follows:
n: 8801411648695407860503430511695039947639589568426302424000467840247669217960103628208989791645553422237077252956448033034649082392378033579745278739
m: 10000000000000000000000000000000000
deg: 5
c5: 2000
c0: 7
skew: 0.32
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2700000, 6300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 911907 x 912155
Total sieving time: 113.11 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,5400000,5400000,27,27,52,52,2.4,2.4,100000
total time: 113.11 hours.
 --------- CPU info (if available) ----------

790816538438140615000153862079160056073471252421369321942539171949977923538944145405594829029895279514855025343464426448291871504794881<135>

11120774026941337846943743141659507821<38>
71111645333526043530566149919676115731469180881995789346211441308147356101925837992819399029941861<98>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3996446347
Step 1 took 41946ms
Step 2 took 14940ms
********** Factor found in step 2: 11120774026941337846943743141659507821
Found probable prime factor of 38 digits: 11120774026941337846943743141659507821
Probable prime cofactor 71111645333526043530566149919676115731469180881995789346211441308147356101925837992819399029941861 has 98 digits

GMP-ECM 6.2.1

186850007049362778684422153838889746512181414900901879338348429790457559971430414759426262701870399244019166893981526142656397274721585238661891239820642053521619<162>

978020707228890018577814164641282499503678266666331249424162522348474303<72>
191049131852004376166589287066630797271854337936691707239370904079629644614194662598382573<90>

Number: 22223_175
N=186850007049362778684422153838889746512181414900901879338348429790457559971430414759426262701870399244019166893981526142656397274721585238661891239820642053521619
  ( 162 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=978020707228890018577814164641282499503678266666331249424162522348474303 (pp72)
 r2=191049131852004376166589287066630797271854337936691707239370904079629644614194662598382573 (pp90)
Version: Msieve-1.40
Total time: 57.76 hours.
Scaled time: 100.73 units (timescale=1.744).
Factorization parameters were as follows:
n: 186850007049362778684422153838889746512181414900901879338348429790457559971430414759426262701870399244019166893981526142656397274721585238661891239820642053521619
m: 100000000000000000000000000000000000
deg: 5
c5: 2
c0: 7
skew: 1.28
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [2900000, 5700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1052282 x 1052515
Total sieving time: 56.07 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 1.45 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,175.000,5,0,0,0,0,0,0,0,0,5800000,5800000,28,28,52,52,2.5,2.5,100000
total time: 57.76 hours.

GGNFS, Msieve

63299362292577913291329198592789409084762071177933010323562308148751817109264304600545853144952866605603422647085981853922113358372825077596218111368940922502336177<164>

108308459369649569743326455137332896733069676486272760150423842926057796121531<78>
584435995682861658521489894968373089358097779842506933711332843125723900845918321025667<87>

Number: 22223_176
N=63299362292577913291329198592789409084762071177933010323562308148751817109264304600545853144952866605603422647085981853922113358372825077596218111368940922502336177
  ( 164 digits)
SNFS difficulty: 176 digits.
Divisors found:
 r1=108308459369649569743326455137332896733069676486272760150423842926057796121531
 r2=584435995682861658521489894968373089358097779842506933711332843125723900845918321025667
Version: 
Total time: 89.64 hours.
Scaled time: 180.62 units (timescale=2.015).
Factorization parameters were as follows:
n: 63299362292577913291329198592789409084762071177933010323562308148751817109264304600545853144952866605603422647085981853922113358372825077596218111368940922502336177
m: 100000000000000000000000000000000000
deg: 5
c5: 20
c0: 7
skew: 0.81
type: snfs
lss: 1
rlim: 6100000
alim: 6100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5Factor base limits: 6100000/6100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3050000, 5250001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1170141 x 1170389
Total sieving time: 89.64 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,6100000,6100000,28,28,53,53,2.5,2.5,100000
total time: 89.64 hours.
 --------- CPU info (if available) ----------
      Model Name: Mac Pro

2199007954944262130192419903031885516391333828395994229935066703552826102901719638514318120123514318614900304181073879597475552061771716740111883105838813618495847113004369<172>

17751834914477142059847896884259170345818621300397623563196389612799470647<74>
123874966477460121197912544174709553501860523347688113783598779210994896443899101067280908388652727<99>

Number: 10
N=2199007954944262130192419903031885516391333828395994229935066703552826102901719638514318120123514318614900304181073879597475552061771716740111883105838813618495847113004369
  ( 172 digits)
SNFS difficulty: 179 digits.
Divisors found:
 r1=17751834914477142059847896884259170345818621300397623563196389612799470647 (pp74)
 r2=123874966477460121197912544174709553501860523347688113783598779210994896443899101067280908388652727 (pp99)
Version: Msieve-1.40
Total time: 104.82 hours.
Scaled time: 182.29 units (timescale=1.739).
Factorization parameters were as follows:
n: 2199007954944262130192419903031885516391333828395994229935066703552826102901719638514318120123514318614900304181073879597475552061771716740111883105838813618495847113004369
m: 200000000000000000000000000000000000
deg: 5
c5: 625
c0: 7
skew: 0.41
type: snfs
lss: 1
rlim: 6800000
alim: 6800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3400000, 8400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1428832 x 1429057
Total sieving time: 101.50 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 2.84 hours.
Time per square root: 0.29 hours.
Prototype def-par.txt line would be:
snfs,179.000,5,0,0,0,0,0,0,0,0,6800000,6800000,28,28,53,53,2.5,2.5,100000
total time: 104.82 hours.

GGNFS, Msieve

873935580673701342811903856563855179427881058944020639909918334540335398519885267773097352966948727352472932155642485999986593260093263011203728603990644213783208483<165>

282287262952400056073198405956934109921109<42>
3095908655365249055568580267803159689569266960813853471093469310442231639214617495399521734305189014030222056875561596808087<124>

Input number is 873935580673701342811903856563855179427881058944020639909918334540335398519885267773097352966948727352472932155642485999986593260093263011203728603990644213783208483 (165 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=2409772803
Step 1 took 9060ms
Step 2 took 5463ms
********** Factor found in step 2: 282287262952400056073198405956934109921109
Found probable prime factor of 42 digits: 282287262952400056073198405956934109921109
Probable prime cofactor 3095908655365249055568580267803159689569266960813853471093469310442231639214617495399521734305189014030222056875561596808087 has 124 digits

GMP-ECM 6.2.1

964564229370639290767595557418509371370418848400432751001645861692888978877877782676057073181626039838972150222044069595736611730752482826474766995392954005032244021207<168>

6297678745923531942329655097598486892919818259<46>
830877296998120923876989192560087258653626321402725059847<57>
184337527021337672654744063803366400680627811270419833535526732459<66>

N=964564229370639290767595557418509371370418848400432751001645861692888978877877782676057073181626039838972150222044069595736611730752482826474766995392954005032244021207
  ( 168 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=6297678745923531942329655097598486892919818259 (pp46)
 r2=830877296998120923876989192560087258653626321402725059847 (pp57)
 r3=184337527021337672654744063803366400680627811270419833535526732459 (pp66)
Version: Msieve v. 1.46
Total time:
Scaled time: 24.34 units (timescale=0.905).
Factorization parameters were as follows:
n: 964564229370639290767595557418509371370418848400432751001645861692888978877877782676057073181626039838972150222044069595736611730752482826474766995392954005032244021207
m: 1000000000000000000000000000000000000
deg: 5
c5: 200
c0: 7
skew: 0.51
type: snfs
lss: 1
rlim: 7600000
alim: 7600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 300000
Factor base limits: 7600000/7600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3800000, 9500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1614068 x 1614312
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,182.000,5,0,0,0,0,0,0,0,0,7600000,7600000,28,28,53,53,2.5,2.5,100000
total time:

236326657901567153818863683640280321030546784837205671505200678824724840863229641761398576292106013239690137480502390330448086988148900709489<141>

56504766697054018996849756720133510657753<41>
129327126139044059461605326059944584322779<42>
32339849927200696698255186332877160637861959050438843478747<59>

#ECM, then gnfs/Msieve
#
Using B1=2000000, B2=8559543730, polynomial Dickson(6), sigma=1270233868
Step 1 took 9533ms
Step 2 took 7464ms
********** Factor found in step 2: 129327126139044059461605326059944584322779
Found probable prime factor of 42 digits: 129327126139044059461605326059944584322779
Composite cofactor 1827355675154214767482106570239375220163114678088840958328885624433969277661546681725988126646275491 has 100 digits

Number: 22223_183
N=1827355675154214767482106570239375220163114678088840958328885624433969277661546681725988126646275491
  ( 100 digits)
Divisors found:
 r1=56504766697054018996849756720133510657753
 r2=32339849927200696698255186332877160637861959050438843478747
Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.314).
Factorization parameters were as follows:
name: 22223_183
n: 1827355675154214767482106570239375220163114678088840958328885624433969277661546681725988126646275491
skew: 3575.19
# norm 2.82e+13
c5: 102900
c4: -1062787720
c3: -2272158754673
c2: 10216394129434064
c1: 16004713462425507864
c0: 8663053915124755834480
# alpha -5.13
Y1: 3656686517
Y0: -7077534675564246313
# Murphy_E 3.52e-09
# M 940969014475266382158432414369008942926809560248257615283982847759757507643575631266244431986526342
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
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1400001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 178248 x 178496
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 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: 3.9 hours.

GMP-ECM 6.2.1+pol51+Msieve 1.36

Opteron-2.2GHz; Linux x86_64

49057389235266725431798465431519225228507103442209332783746531592073418337977673846117984024937832223461791112452542936050401977059416210864940629335589967586744362800469293<173>

1298277824225531672328922868943039707747536252325411<52>
37786510960803926065776489708542559474356343904769682762552243607772135651927651765266760471261042008732669776113422564463<122>

Number: 1
N=49057389235266725431798465431519225228507103442209332783746531592073418337977673846117984024937832223461791112452542936050401977059416210864940629335589967586744362800469293
  ( 173 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=1298277824225531672328922868943039707747536252325411 (pp52)
 r2=37786510960803926065776489708542559474356343904769682762552243607772135651927651765266760471261042008732669776113422564463 (pp122)
Version: Msieve v. 1.43
Total time: 2.96 hours.
Scaled time: 7.17 units (timescale=2.419).
Factorization parameters were as follows:
n: 49057389235266725431798465431519225228507103442209332783746531592073418337977673846117984024937832223461791112452542936050401977059416210864940629335589967586744362800469293
m: 2000000000000000000000000000000000000
deg: 5
c5: 625
c0: 7
skew: 0.41
type: snfs
lss: 1
rlim: 8300000
alim: 8300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8300000/8300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4150000, 4150000)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1294106 x 1294333
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 2.86 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,184.000,5,0,0,0,0,0,0,0,0,8300000,8300000,28,28,54,54,2.5,2.5,100000
total time: 2.96 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

502689009182368786229739433665535365051501745713256638071202379327618261987938982602687425711989861768062809986319318615101833482757641312792455040123379990413720594892227246598869<180>

1000296869048935293617966311639974939939901074399500816397239041<64>
502539820663756223904404112395960972646821102101410044844975062438931281776309797410654017639319069448362694337047509<117>

Number: n
N=502689009182368786229739433665535365051501745713256638071202379327618261987938982602687425711989861768062809986319318615101833482757641312792455040123379990413720594892227246598869
  ( 180 digits)
SNFS difficulty: 186 digits.
Divisors found:

Mon Dec 22 17:13:51 2008  prp64 factor: 1000296869048935293617966311639974939939901074399500816397239041
Mon Dec 22 17:13:51 2008  prp117 factor: 502539820663756223904404112395960972646821102101410044844975062438931281776309797410654017639319069448362694337047509
Mon Dec 22 17:13:51 2008  elapsed time 03:54:27 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20050930-k8
Total time: 45.86 hours.
Scaled time: 92.19 units (timescale=2.010).
Factorization parameters were as follows:
name: KA_2_185_3
n: 502689009182368786229739433665535365051501745713256638071202379327618261987938982602687425711989861768062809986319318615101833482757641312792455040123379990413720594892227246598869
type: snfs
skew: 0.81
deg: 5
c5: 20
c0: 7
m: 10000000000000000000000000000000000000
rlim: 8500000
alim: 8500000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 8500000/8500000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 6750001)
Primes: RFBsize:571119, AFBsize:570202, largePrimes:34438043 encountered
Relations: rels:31297614, finalFF:904990
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3087212 hash collisions in 32883378 relations
Msieve: matrix is 1657566 x 1657814 (456.2 MB)

Total sieving time: 45.11 hours.
Total relation processing time: 0.76 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,8500000,8500000,29,29,58,58,2.5,2.5,100000
total time: 45.86 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 3321556k/3407296k available (2912k kernel code, 84428k reserved, 1794k data, 1544k init, 2502088k highmem)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5660.98 BogoMIPS (lpj=2830490)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830449)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830457)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830462)
Total of 4 processors activated (22643.71 BogoMIPS).

67570932911842927228927292490309602444291997518609677826969245116315279839497843139940469179312201854876829806415217749712403090610996385019423191653236570341499085773<167>

112654204167499843146979520977037<33>
599808355233464006448212960910397629581245269600833415238862953159561681692737075144423658619895686481443976435337829801517842607704129<135>

Using B1=1000000, B2=5704990210, polynomial Dickson(6), sigma=4206584356
Step 1 took 8189ms
Step 2 took 9301ms
********** Factor found in step 2: 112654204167499843146979520977037
Found probable prime factor of 33 digits: 112654204167499843146979520977037
Probable prime cofactor 599808355233464006448212960910397629581245269600833415238862953159561681692737075144423658619895686481443976435337829801517842607704129 has 135 digits

GMP-ECM 6.2.1

1455467427002850532955785082768793905084602682863108194354387397398643067717805242448125321567334653442289624918766724230403404629405245067966690172465612762702773902595753382688233783<184>

297293579162492102984765796920071685141276210227714826259719041<63>
4895724391704181343633928137933080872158292132133342690122300077373183639565891040652324217278579186451361094776320686263<121>

Number: 22223_189
N=1455467427002850532955785082768793905084602682863108194354387397398643067717805242448125321567334653442289624918766724230403404629405245067966690172465612762702773902595753382688233783
  ( 184 digits)
SNFS difficulty: 190 digits.
Divisors found:
 r1=297293579162492102984765796920071685141276210227714826259719041 (pp63)
 r2=4895724391704181343633928137933080872158292132133342690122300077373183639565891040652324217278579186451361094776320686263 (pp121)
Version: Msieve-1.40
Total time: 249.40 hours.
Scaled time: 433.71 units (timescale=1.739).
Factorization parameters were as follows:
n: 1455467427002850532955785082768793905084602682863108194354387397398643067717805242448125321567334653442289624918766724230403404629405245067966690172465612762702773902595753382688233783
m: 100000000000000000000000000000000000000
deg: 5
c5: 1
c0: 35
skew: 2.04
type: snfs
lss: 1
rlim: 10300000
alim: 10300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10300000/10300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5150000, 9150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2021483 x 2021708
Total sieving time: 242.72 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 6.21 hours.
Time per square root: 0.23 hours.
Prototype def-par.txt line would be:
snfs,190.000,5,0,0,0,0,0,0,0,0,10300000,10300000,28,28,54,54,2.5,2.5,100000
total time: 249.40 hours.

GGNFS, Msieve

7811412730645934022108042743488628291363712137770808704266782375432812085300436524323222547951684716165173360263400908685004188370503667406791<142>

311497367855250121137382138477507403653<39>
3531206177877151070713301902400987508704841047<46>
7101533307699243067705446852005902970669571155164981923101<58>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1836962320
Step 1 took 82090ms
Step 2 took 39980ms
********** Factor found in step 2: 311497367855250121137382138477507403653
Found probable prime factor of 39 digits: 311497367855250121137382138477507403653
Composite cofactor 25076978288547926323460470653722212034749527804503915736509036314028501726578999292358802938722582326747 has 104 digits

N=25076978288547926323460470653722212034749527804503915736509036314028501726578999292358802938722582326747
  ( 104 digits)
Divisors found:
 r1=3531206177877151070713301902400987508704841047 (pp46)
 r2=7101533307699243067705446852005902970669571155164981923101 (pp58)
Version: Msieve-1.40
Total time: 6.47 hours.
Scaled time: 12.12 units (timescale=1.872).
Factorization parameters were as follows:
n: 25076978288547926323460470653722212034749527804503915736509036314028501726578999292358802938722582326747
skew: 9222.12
# norm 3.27e+014
c5: 99900
c4: -1576093620
c3: 8689646795033
c2: 249998069682078421
c1: -706174082554392826149
c0: -3265482155244229417073265
# alpha -6.83
Y1: 121772678489
Y0: -47856995527312187932
# Murphy_E 2.30e-009
# M 7627584922069984720840651237216333063687937024671159132890685501087267129669856871528871303920917830599
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
Max factor residue bits: 49/49
Sieved algebraic special-q in [1150000, 1950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 220384 x 220609
Polynomial selection time: 0.65 hours.
Total sieving time: 5.63 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.03 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: 6.47 hours.
 --------- CPU info (if available) ----------

426556384158808390655531139884533614648845787605218438211224909938018221027371954432424332966649513053792506267044829770620415912333470910340028186344179890325185277<165>

500076679675539473570270525858091474610170611800787<51>
625429542938580102904421466749158816549738159078369<51>
1363833808602477259845168225912450836500395871994005103571492559<64>

N=426556384158808390655531139884533614648845787605218438211224909938018221027371954432424332966649513053792506267044829770620415912333470910340028186344179890325185277
  ( 165 digits)
SNFS difficulty: 195 digits.
Divisors found:
Version: Msieve v. 1.47
Total time: 5.41 hours.
Scaled time: 7.91 units (timescale=1.462).
Factorization parameters were as follows:
n: 426556384158808390655531139884533614648845787605218438211224909938018221027371954432424332966649513053792506267044829770620415912333470910340028186344179890325185277
m: 1000000000000000000000000000000000000000
deg: 5
c5: 2
c0: 7
skew: 1.28
type: snfs
lss: 1
rlim: 12600000
alim: 12600000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 640000
Factor base limits: 12600000/12600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6300000, 11420001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix :
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 5.41 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,195.000,5,0,0,0,0,0,0,0,0,12600000,12600000,28,28,55,55,2.5,2.5,100000
total time: 5.41 hours.


Msieve v. 1.47
Sat Dec  4 16:41:53 2010
random seeds: 705ebede 99a9b1db
factoring 426556384158808390655531139884533614648845787605218438211224909938018221027371954432424332966649513053792506267044829770620415912333470910340028186344179890325185277 (165 digits)
searching for 15-digit factors
commencing number field sieve (165-digit input)
R0: -1000000000000000000000000000000000000000
R1:  1
A0:  7
A1:  0
A2:  0
A3:  0
A4:  0
A5:  2
skew 1.28, size 2.405e-13, alpha 1.110, combined = 3.311e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1106489 cycles
cycles contain 3654516 unique relations
read 3654516 relations
multiplying 3654516 relations
multiply complete, coefficients have about 90.04 million bits
initial square root is modulo 2905891
reading relations for dependency 2
read 1106616 cycles
cycles contain 3655950 unique relations
read 3655950 relations
multiplying 3655950 relations
multiply complete, coefficients have about 90.08 million bits
initial square root is modulo 2921951
reading relations for dependency 3
read 1106683 cycles
cycles contain 3655716 unique relations
read 3655716 relations
multiplying 3655716 relations
multiply complete, coefficients have about 90.07 million bits
initial square root is modulo 2919211
sqrtTime: 6137
prp51 factor: 500076679675539473570270525858091474610170611800787
prp51 factor: 625429542938580102904421466749158816549738159078369
prp64 factor: 1363833808602477259845168225912450836500395871994005103571492559
elapsed time 01:42:21

793772508175785692349547376407661148815299296167120179321918868869692622379211564304598375500912468029994151428992571492801662916637085692323079032122539574903903638900806718314672713839<186>

4361330222154694003140842573266277<34>

182002386369089530185299185327563609456600981570356563787058433055789320424929342453024694563321081116033555938719359865650507341092443049973452770128707<153>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1173410688
Step 1 took 30810ms
Step 2 took 20499ms
********** Factor found in step 2: 4361330222154694003140842573266277
Found probable prime factor of 34 digits: 4361330222154694003140842573266277
Composite cofactor 182002386369089530185299185327563609456600981570356563787058433055789320424929342453024694563321081116033555938719359865650507341092443049973452770128707 has 153 digits

GMP-ECM 6.2.3

182002386369089530185299185327563609456600981570356563787058433055789320424929342453024694563321081116033555938719359865650507341092443049973452770128707<153>

149763466097583774969683212019277433<36>

1215265585870584263356350610640674170069044359715771158057066042022700763729169113835634014116518213384600182359015579<118>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1193754588
Step 1 took 7020ms
Step 2 took 7098ms
********** Factor found in step 2: 149763466097583774969683212019277433
Found probable prime factor of 36 digits: 149763466097583774969683212019277433
Composite cofactor 1215265585870584263356350610640674170069044359715771158057066042022700763729169113835634014116518213384600182359015579 has 118 digits

GMP-ECM 6.2.3

1215265585870584263356350610640674170069044359715771158057066042022700763729169113835634014116518213384600182359015579<118>

14762619636700344880978049990719845220467445502040607<53>
82320456380884807423905173105699489236259347611472316459714888197<65>

Number: 118nn
N=1215265585870584263356350610640674170069044359715771158057066042022700763729169113835634014116518213384600182359015579
  ( 118 digits)
Divisors found:
 r1=14762619636700344880978049990719845220467445502040607 (pp53)
 r2=82320456380884807423905173105699489236259347611472316459714888197 (pp65)
Version: Msieve-1.40
Total time: 36.31 hours.
Scaled time: 39.07 units (timescale=1.076).
Factorization parameters were as follows:
name: 118nn
n: 1215265585870584263356350610640674170069044359715771158057066042022700763729169113835634014116518213384600182359015579
skew: 72770.86
# norm 8.14e+015
c5: 15540
c4: 1685575609
c3: -315516541409806
c2: -4133118026002582114
c1: 618619976593905866813724
c0: 11914188683016738766383564832
# alpha -5.41
Y1: 4048042986947
Y0: -37900333437144996090595
# Murphy_E 4.03e-010
# M 32987840727236906043789441952947386624896644857107621418812100225864152866235462266289075142987573766766706932335221
type: gnfs
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved algebraic special-q in [1900000, 3400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 607264 x 607494
Polynomial selection time: 4.03 hours.
Total sieving time: 30.32 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.60 hours.
Time per square root: 0.26 hours.
Prototype def-par.txt line would be:
gnfs,117,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3800000,3800000,27,27,53,53,2.5,2.5,100000
total time: 36.31 hours.
 --------- CPU info (if available) ----------

992630718271618283341033880453341958342128797919820395767331503484855179680778194512437518931403483604755119718794009097<120>

451432857691895875961752904940309204980009605290656993<54>
2198844637377041314605159450464334723319742368211499399632756249129<67>

Number: test
N=992630718271618283341033880453341958342128797919820395767331503484855179680778194512437518931403483604755119718794009097
  ( 120 digits)
Divisors found:
 r1=451432857691895875961752904940309204980009605290656993 (pp54)
 r2=2198844637377041314605159450464334723319742368211499399632756249129 (pp67)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 129.21 hours.
Scaled time: 116.03 units (timescale=0.898).
Factorization parameters were as follows:
name: test
n: 992630718271618283341033880453341958342128797919820395767331503484855179680778194512437518931403483604755119718794009097
skew: 62269.20
# norm 1.52e+16
c5: 49140
c4: 7968213204
c3: -633335444221141
c2: -28081596552590686164
c1: 1107218209111382214603576
c0: 3534481494395924396324930335
# alpha -5.71
Y1: 2082926580031
Y0: -115098657175494752776662
# Murphy_E 2.89e-10
# M 504697680091632283507625193131377291428449168427719895603688346894281193132345617680896109259306414785276999124103053047
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
Max factor residue bits: 50/50
Sieved algebraic special-q in [2250000, 1
)
Primes: RFBsize:315948, AFBsize:316002, largePrimes:7651339 encountered
Relations: rels:7660346, finalFF:709798
Max relations in full relation-set: 0
Initial matrix: 632033 x 709798 with sparse part having weight 68225438.
Pruned matrix : 571453 x 574677 with weight 49175844.
Total sieving time: 117.39 hours.
Total relation processing time: 2.46 hours.
Matrix solve time: 8.63 hours.
Time per square root: 0.73 hours.
Prototype def-par.txt line would be:
gnfs,119,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,27,27,50,50,2.4,2.4,60000
total time: 129.21 hours.
 --------- CPU info (if available) ----------

GGNFS-0.77.1-20060722-pentium4

Pentium 4 3.20 GHz, 1 Gig RAM, Windows XP and Cygwin

124232158222869111287211463764852236487167020766208671720729051526464137688841953549287291045839500219219361068261882656582219293831963426563138639868670404466560703<165>

54711479004718213202442251399875247<35>

2270678118793965847799892947641260714721887590491750583619887867610811143684141697147183514451128472024410064688243836540301508849<130>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1765753852
Step 1 took 93272ms
Step 2 took 45921ms
********** Factor found in step 2: 54711479004718213202442251399875247
Found probable prime factor of 35 digits: 54711479004718213202442251399875247
Composite cofactor 2270678118793965847799892947641260714721887590491750583619887867610811143684141697147183514451128472024410064688243836540301508849 has 130 digits

2270678118793965847799892947641260714721887590491750583619887867610811143684141697147183514451128472024410064688243836540301508849<130>

715901700784334432949516599748086572831316393506451<51>
3171773605658758172192197869642860944633131218185635424629395488403931477080299<79>

prp51 factor: 715901700784334432949516599748086572831316393506451
prp79 factor: 3171773605658758172192197869642860944633131218185635424629395488403931477080299

15158855823514284233452836685887209937313207494030862868357940871398349544767238556786074785640147324163997293289052269686919580129313606190117<143>

47692826886977475152604315143333398343<38>
317843516792111337993716916471669637675012484354605443563525568302738304202914842253018789867577687271219<105>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4177699017
Step 1 took 75647ms
Step 2 took 37641ms
********** Factor found in step 2: 47692826886977475152604315143333398343
Found probable prime factor of 38 digits: 47692826886977475152604315143333398343
Probable prime cofactor 317843516792111337993716916471669637675012484354605443563525568302738304202914842253018789867577687271219 has 105 digits

746640178782662569849924784593301558723125968409510902812114891295307587708277789733003065574513509262492807285898366443481369424102031201678154865858815950974661<162>

143868231824556822083496991246153407062586291503<48>
5189750157582869511379938877344965776543332938660631443047232158260713381366696021720057577179675385129195878221387<115>

Sieving took ~20 cpu-days.
Postprocessing log below.

Sun Dec  5 17:25:14 2010  Msieve v. 1.47
Sun Dec  5 17:25:14 2010  random seeds: a79149d9 3343af92
Sun Dec  5 17:25:14 2010  factoring 746640178782662569849924784593301558723125968409510902812114891295307587708277789733003065574513509262492807285898366443481369424102031201678154865858815950974661 (162 digits)
Sun Dec  5 17:25:15 2010  searching for 15-digit factors
Sun Dec  5 17:25:15 2010  commencing number field sieve (162-digit input)
Sun Dec  5 17:25:15 2010  R0: -10000000000000000000000000000000000000000
Sun Dec  5 17:25:15 2010  R1:  1
Sun Dec  5 17:25:15 2010  A0:  7
Sun Dec  5 17:25:15 2010  A1:  0
Sun Dec  5 17:25:15 2010  A2:  0
Sun Dec  5 17:25:15 2010  A3:  0
Sun Dec  5 17:25:15 2010  A4:  0
Sun Dec  5 17:25:15 2010  A5:  2
Sun Dec  5 17:25:15 2010  skew 1.28, size 1.116e-13, alpha 1.110, combined = 2.049e-11 rroots = 1
Sun Dec  5 17:25:15 2010
Sun Dec  5 17:25:15 2010  commencing relation filtering
Sun Dec  5 17:25:15 2010  estimated available RAM is 24098.4 MB
Sun Dec  5 17:25:15 2010  commencing duplicate removal, pass 1
Sun Dec  5 17:31:40 2010  found 3818390 hash collisions in 39676112 relations
Sun Dec  5 17:32:12 2010  added 479 free relations
Sun Dec  5 17:32:12 2010  commencing duplicate removal, pass 2
Sun Dec  5 17:34:23 2010  found 2863845 duplicates and 36812746 unique relations
Sun Dec  5 17:34:23 2010  memory use: 138.6 MB
Sun Dec  5 17:34:23 2010  reading ideals above 720000
Sun Dec  5 17:34:23 2010  commencing singleton removal, initial pass
Sun Dec  5 17:41:41 2010  memory use: 753.0 MB
Sun Dec  5 17:41:41 2010  reading all ideals from disk
Sun Dec  5 17:41:42 2010  memory use: 1238.8 MB
Sun Dec  5 17:41:45 2010  keeping 38752010 ideals with weight <= 200, target excess is 195389
Sun Dec  5 17:41:49 2010  commencing in-memory singleton removal
Sun Dec  5 17:41:52 2010  begin with 36812746 relations and 38752010 unique ideals
Sun Dec  5 17:42:24 2010  reduce to 15615789 relations and 14297792 ideals in 19 passes
Sun Dec  5 17:42:24 2010  max relations containing the same ideal: 115
Sun Dec  5 17:42:32 2010  removing 2856433 relations and 2456433 ideals in 400000 cliques
Sun Dec  5 17:42:33 2010  commencing in-memory singleton removal
Sun Dec  5 17:42:34 2010  begin with 12759356 relations and 14297792 unique ideals
Sun Dec  5 17:42:44 2010  reduce to 12381562 relations and 11451107 ideals in 10 passes
Sun Dec  5 17:42:44 2010  max relations containing the same ideal: 99
Sun Dec  5 17:42:50 2010  removing 2137414 relations and 1737414 ideals in 400000 cliques
Sun Dec  5 17:42:51 2010  commencing in-memory singleton removal
Sun Dec  5 17:42:52 2010  begin with 10244148 relations and 11451107 unique ideals
Sun Dec  5 17:43:00 2010  reduce to 9965333 relations and 9426005 ideals in 10 passes
Sun Dec  5 17:43:00 2010  max relations containing the same ideal: 85
Sun Dec  5 17:43:05 2010  removing 1596740 relations and 1284064 ideals in 312676 cliques
Sun Dec  5 17:43:05 2010  commencing in-memory singleton removal
Sun Dec  5 17:43:06 2010  begin with 8368593 relations and 9426005 unique ideals
Sun Dec  5 17:43:12 2010  reduce to 8168950 relations and 7936368 ideals in 9 passes
Sun Dec  5 17:43:12 2010  max relations containing the same ideal: 76
Sun Dec  5 17:43:18 2010  relations with 0 large ideals: 4031
Sun Dec  5 17:43:18 2010  relations with 1 large ideals: 2054
Sun Dec  5 17:43:18 2010  relations with 2 large ideals: 31157
Sun Dec  5 17:43:18 2010  relations with 3 large ideals: 217588
Sun Dec  5 17:43:18 2010  relations with 4 large ideals: 816350
Sun Dec  5 17:43:18 2010  relations with 5 large ideals: 1779857
Sun Dec  5 17:43:18 2010  relations with 6 large ideals: 2399244
Sun Dec  5 17:43:18 2010  relations with 7+ large ideals: 2918669
Sun Dec  5 17:43:18 2010  commencing 2-way merge
Sun Dec  5 17:43:23 2010  reduce to 4875854 relation sets and 4643272 unique ideals
Sun Dec  5 17:43:23 2010  commencing full merge
Sun Dec  5 17:44:35 2010  memory use: 548.4 MB
Sun Dec  5 17:44:35 2010  found 2505512 cycles, need 2471472
Sun Dec  5 17:44:36 2010  weight of 2471472 cycles is about 173073441 (70.03/cycle)
Sun Dec  5 17:44:36 2010  distribution of cycle lengths:
Sun Dec  5 17:44:36 2010  1 relations: 319770
Sun Dec  5 17:44:36 2010  2 relations: 293549
Sun Dec  5 17:44:36 2010  3 relations: 291637
Sun Dec  5 17:44:36 2010  4 relations: 268387
Sun Dec  5 17:44:36 2010  5 relations: 241754
Sun Dec  5 17:44:36 2010  6 relations: 210899
Sun Dec  5 17:44:36 2010  7 relations: 182603
Sun Dec  5 17:44:36 2010  8 relations: 152049
Sun Dec  5 17:44:36 2010  9 relations: 123237
Sun Dec  5 17:44:36 2010  10+ relations: 387587
Sun Dec  5 17:44:36 2010  heaviest cycle: 21 relations
Sun Dec  5 17:44:37 2010  commencing cycle optimization
Sun Dec  5 17:44:40 2010  start with 13708541 relations
Sun Dec  5 17:44:57 2010  pruned 277485 relations
Sun Dec  5 17:44:57 2010  memory use: 467.6 MB
Sun Dec  5 17:44:57 2010  distribution of cycle lengths:
Sun Dec  5 17:44:57 2010  1 relations: 319770
Sun Dec  5 17:44:57 2010  2 relations: 299194
Sun Dec  5 17:44:57 2010  3 relations: 300481
Sun Dec  5 17:44:57 2010  4 relations: 273658
Sun Dec  5 17:44:57 2010  5 relations: 246214
Sun Dec  5 17:44:57 2010  6 relations: 213388
Sun Dec  5 17:44:57 2010  7 relations: 184021
Sun Dec  5 17:44:57 2010  8 relations: 151372
Sun Dec  5 17:44:57 2010  9 relations: 121853
Sun Dec  5 17:44:57 2010  10+ relations: 361521
Sun Dec  5 17:44:57 2010  heaviest cycle: 21 relations
Sun Dec  5 17:45:01 2010  RelProcTime: 1186
Sun Dec  5 17:45:01 2010  elapsed time 00:19:47


Msieve v. 1.47
Mon Dec  6 01:50:54 2010
random seeds: e62cc959 a37f11d2
factoring 746640178782662569849924784593301558723125968409510902812114891295307587708277789733003065574513509262492807285898366443481369424102031201678154865858815950974661 (162 digits)
searching for 15-digit factors
commencing number field sieve (162-digit input)
R0: -10000000000000000000000000000000000000000
R1:  1
A0:  7
A1:  0
A2:  0
A3:  0
A4:  0
A5:  2
skew 1.28, size 1.116e-13, alpha 1.110, combined = 2.049e-11 rroots = 1

commencing linear algebra
matrix starts at (0, 0)
matrix is 2466445 x 2466631 (705.6 MB) with weight 220042993 (89.21/col)
sparse part has weight 167709537 (67.99/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2466397 x 2466631 (669.2 MB) with weight 174482241 (70.74/col)
sparse part has weight 160639544 (65.13/col)
using block size 10922 for processor cache size 256 kB
commencing Lanczos iteration (4 threads)
memory use: 627.1 MB
restarting at iteration 21261 (dim = 1344639)
checkpointing every 230000 dimensions
linear algebra at 54.6%, ETA 4h55m
lanczos halted after 39000 iterations (dim = 2466391)
recovered 34 nontrivial dependencies
BLanczosTime: 19149
elapsed time 05:19:12

Msieve v. 1.47
Mon Dec  6 09:49:52 2010
random seeds: f670d9e7 ba2ff04b
factoring 746640178782662569849924784593301558723125968409510902812114891295307587708277789733003065574513509262492807285898366443481369424102031201678154865858815950974661 (162 digits)
searching for 15-digit factors
commencing number field sieve (162-digit input)
R0: -10000000000000000000000000000000000000000
R1:  1
A0:  7
A1:  0
A2:  0
A3:  0
A4:  0
A5:  2
skew 1.28, size 1.116e-13, alpha 1.110, combined = 2.049e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1233827 cycles
cycles contain 3957070 unique relations
read 3957070 relations
multiplying 3957070 relations
multiply complete, coefficients have about 98.18 million bits
initial square root is modulo 11156051
sqrtTime: 2630
prp48 factor: 143868231824556822083496991246153407062586291503
prp115 factor: 5189750157582869511379938877344965776543332938660631443047232158260713381366696021720057577179675385129195878221387
elapsed time 00:43:53

266183624157972294213159846326746212636506313757532200261700117317407663790991265259340139366938899097187292040290416534034691562551285401218225696569621496451366574816925399470169482021<186>

244734125579803169224882412089<30>
1087644085300130525595667649847012861332406328489185333349724993356031777139425917405205802068759022444171552108383699428178249309129933017615484479396134989<157>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3146534741
Step 1 took 9087ms
Step 2 took 7869ms
********** Factor found in step 2: 244734125579803169224882412089
Found probable prime factor of 30 digits: 244734125579803169224882412089
Probable prime cofactor 1087644085300130525595667649847012861332406328489185333349724993356031777139425917405205802068759022444171552108383699428178249309129933017615484479396134989 has 157 digits

411008783812704080818147781713299911684596742249023116209440652012488150832884302773680789346998763584489422399998779<117>

1041891807917626896494037253303676273328711327241<49>
394483170603064079242279962097681806485728776719831757352854037213219<69>

N=411008783812704080818147781713299911684596742249023116209440652012488150832884302773680789346998763584489422399998779
  ( 117 digits)
Divisors found:
 r1=1041891807917626896494037253303676273328711327241 (pp49)
 r2=394483170603064079242279962097681806485728776719831757352854037213219 (pp69)
Version: Msieve-1.40
Total time: 26.26 hours.
Scaled time: 46.30 units (timescale=1.763).
Factorization parameters were as follows:
name: 117g
n: 411008783812704080818147781713299911684596742249023116209440652012488150832884302773680789346998763584489422399998779
skew: 23429.61
# norm 1.59e+016
c5: 139320
c4: 6123242301
c3: -816954088490028
c2: -5413887175966407998
c1: 69126422089572289479540
c0: -128715086552297436151590015
# alpha -5.65
Y1: 954560659723
Y0: -19677383160475233380534
# Murphy_E 4.24e-010
# M 88762146304770752708582786522766736031443528635032703044728759341940140586746946645139130079921160222243216480722317
type: gnfs
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved algebraic special-q in [1800000, 3200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 527537 x 527764
Total sieving time: 25.60 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.36 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
gnfs,116,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3600000,3600000,27,27,53,53,2.5,2.5,100000
total time: 26.26 hours.
 --------- CPU info (if available) ----------

30834219817153076484282256448206219262137119775526879731125603194425173057058723771641768034164315557405608744584740144612490942447928711283782742087168339423091747221065938979078981854061637605414489<200>

21726939443848529095249230296227343<35>
1419169961643311856895120825395441005793045747663072700581247875845618865434346795538459746507250359480128812939337226149055001414152473927507533950386544794030419223<166>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4087019676
Step 1 took 30032ms
Step 2 took 10562ms
********** Factor found in step 2: 21726939443848529095249230296227343
Found probable prime factor of 35 digits: 21726939443848529095249230296227343
Probable prime cofactor 1419169961643311856895120825395441005793045747663072700581247875845618865434346795538459746507250359480128812939337226149055001414152473927507533950386544794030419223 has 166 digits

GMP-ECM 6.3

835068306613022343433948074854297535373120028096958263946061442625523949869750284399531328905773818694967265295120131020249588584229254484620278889873988636879111592303<168>

319160152513150903013229965303989<33>
2616455406595952143942416288223730882505264109276567919517385285181116426996611537637865631733600488730142694519303665120035412925201427<136>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1734093010
Step 1 took 37348ms
Step 2 took 26793ms
********** Factor found in step 2: 319160152513150903013229965303989
Found probable prime factor of 33 digits: 319160152513150903013229965303989
Probable prime cofactor 2616455406595952143942416288223730882505264109276567919517385285181116426996611537637865631733600488730142694519303665120035412925201427 has 136 digits

85968174478606167542278513231012268356381496842105880543034014891894944078463516088947134874532985980150984722167125087048888152713083755583393085163426107649548310415719<170>

8173122708196171767665910165044472246315758729207707133337303917157829<70>
10518400071541267064900040031287890703077779754715589773355906379377648943857897256402267838577412411<101>

Number: n
N=85968174478606167542278513231012268356381496842105880543034014891894944078463516088947134874532985980150984722167125087048888152713083755583393085163426107649548310415719  ( 170 digits)
SNFS difficulty: 208 digits.
Divisors found:

Thu Oct 10 16:11:42 2024  prp70 factor: 8173122708196171767665910165044472246315758729207707133337303917157829
Thu Oct 10 16:11:42 2024  prp101 factor: 10518400071541267064900040031287890703077779754715589773355906379377648943857897256402267838577412411
Thu Oct 10 16:11:42 2024  elapsed time 03:29:57 (Msieve 1.44 - dependency 4)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.135).
Factorization parameters were as follows:
#
# N = 2x10^208+7 = 2(207)3
#
n: 85968174478606167542278513231012268356381496842105880543034014891894944078463516088947134874532985980150984722167125087048888152713083755583393085163426107649548310415719
m: 100000000000000000000000000000000000000000
deg: 5
c5: 2000
c0: 7
skew: 0.32
# Murphy_E = 6.51e-12
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
lpbr: 27
lpba: 27
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
q0: 50000
qintsize: 50000
Factor base limits: 21000000/21000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 57/57
Sieved  special-q in [50000, 63250000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8523300 hash collisions in 27955055 relations (17397170 unique)
Msieve: matrix is 2501482 x 2501707 (702.4 MB)

Sieving start time: 2024/10/09 03:42:22
Sieving end time  : 2024/10/10 12:35:27

Total sieving time: 32hrs 53min 5secs.

Total relation processing time: 3hrs 10min 45sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 13min 3sec.

Prototype def-par.txt line would be:
snfs,208,5,0,0,0,0,0,0,0,0,21000000,21000000,27,27,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

1981826649622957479909232339447268547420157158853315100528156802124518168395810418462697067887471882834408474290753787766184091877483476520308768592011256775369858398485884439688060485349346492662286829771<205>

10719320873650291711527811681<29>

184883601581009338837028742692825590478990238588982528648416894424314402380681963815463070175977198348070987352838135436351336950644298306189019110219168128704515093469210462891<177>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1652546481
Step 1 took 10630ms
Step 2 took 8668ms
********** Factor found in step 2: 10719320873650291711527811681
Found probable prime factor of 29 digits: 10719320873650291711527811681
Composite cofactor 184883601581009338837028742692825590478990238588982528648416894424314402380681963815463070175977198348070987352838135436351336950644298306189019110219168128704515093469210462891 has 177 digits

184883601581009338837028742692825590478990238588982528648416894424314402380681963815463070175977198348070987352838135436351336950644298306189019110219168128704515093469210462891<177>

123624228603873773096360408769889457<36>
1495528859261298552419778271602801008207697371714762097203599699094137881028954643442822227283277318634478404454862232504751176026942409870363<142>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1387718253
Step 1 took 245928ms
Step 2 took 95047ms
********** Factor found in step 2: 123624228603873773096360408769889457
Found probable prime factor of 36 digits: 123624228603873773096360408769889457
Probable prime cofactor 1495528859261298552419778271602801008207697371714762097203599699094137881028954643442822227283277318634478404454862232504751176026942409870363 has 142 digits

444654829925410319475236655126933358568213815164967692369825830766078724235040719769821819551211529848502129291592888811921152506602116600054705061665792438168874830548719121043093117<183>

27420617107594071135319572107<29>

16216076690785499482782025617973165117832931724595654353872416285834900311604120034782918605477959374086844112044992077809884095326783859176312073536145431<155>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4174967143
Step 1 took 9046ms
Step 2 took 7661ms
********** Factor found in step 2: 27420617107594071135319572107
Found probable prime factor of 29 digits: 27420617107594071135319572107
Composite cofactor 16216076690785499482782025617973165117832931724595654353872416285834900311604120034782918605477959374086844112044992077809884095326783859176312073536145431 has 155 digits

3658179733722409190384423267833291809703907662374354002089749893582297127971983811505622389119879046996864713384693806744519974370535423722430903237<148>

26392746629279417053974257052181336837<38>
138605495862417027527396933687644495163910957962800255273899140692470496046978541806551077185660413737114827201<111>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=53309141
Step 1 took 66739ms
Step 2 took 34308ms
********** Factor found in step 2: 26392746629279417053974257052181336837
Found probable prime factor of 38 digits: 26392746629279417053974257052181336837
Probable prime cofactor 138605495862417027527396933687644495163910957962800255273899140692470496046978541806551077185660413737114827201 has 111 digits

22222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223<212>

70877555343892170722571654991122540255764101541<47>

313529750206561101572737184135021585385999125609243391943650692402136383714861959330318467554609300407449168141068559400957417950977567875469060564401372619446573603<165>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3146608901
Step 1 took 394275ms
Step 2 took 103439ms
********** Factor found in step 2: 70877555343892170722571654991122540255764101541
Found probable prime factor of 47 digits: 70877555343892170722571654991122540255764101541
Composite cofactor 313529750206561101572737184135021585385999125609243391943650692402136383714861959330318467554609300407449168141068559400957417950977567875469060564401372619446573603 has 165 digits

2328335483219364280057486556513976439687333741930598948016351476341591649414544757623844370992212121774837565042910297442378303984158154385646371477802785148618521198859521209263688316029417601466296279249<205>

3196927669552246723478222209792773063874816671520021320431498703127<67>
728304085636527654285478174546006259355776871030647360801839577126933047844082793097623065514232324292178934500886447187721200325054553687<138>

Number: n
N=2328335483219364280057486556513976439687333741930598948016351476341591649414544757623844370992212121774837565042910297442378303984158154385646371477802785148618521198859521209263688316029417601466296279249  ( 205 digits)
SNFS difficulty: 213 digits.
Divisors found:

Fri Jul 31 05:53:24 2020  p67 factor: 3196927669552246723478222209792773063874816671520021320431498703127
Fri Jul 31 05:53:24 2020  p138 factor: 728304085636527654285478174546006259355776871030647360801839577126933047844082793097623065514232324292178934500886447187721200325054553687
Fri Jul 31 05:53:24 2020  elapsed time 05:09:30 (Msieve 1.54 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.127).
Factorization parameters were as follows:
#
# N = 2x10^213+7 = 2(212)3
#
n: 2328335483219364280057486556513976439687333741930598948016351476341591649414544757623844370992212121774837565042910297442378303984158154385646371477802785148618521198859521209263688316029417601466296279249
m: 100000000000000000000000000000000000
deg: 6
c6: 2000
c0: 7
skew: 0.39
# Murphy_E = 3.96e-12
type: snfs
lss: 1
rlim: 25000000
alim: 25000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 25000000/25000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 74100000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9847093 hash collisions in 59811928 relations (52274063 unique)
Msieve: matrix is 3419951 x 3420177 (1195.4 MB)

Sieving start time: 2020/07/29 16:39:16
Sieving end time  : 2020/07/31 00:43:02

Total sieving time: 32hrs 3min 46secs.

Total relation processing time: 4hrs 43min 46sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 20sec.

Prototype def-par.txt line would be:
snfs,213,6,0,0,0,0,0,0,0,0,25000000,25000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.154206] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283136K/16703460K available (12300K kernel code, 2481K rwdata, 4272K rodata, 2436K init, 2720K bss, 420324K reserved, 0K cma-reserved)
[    0.188728] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.50 BogoMIPS (lpj=11977004)
[    0.186225] smpboot: Total of 16 processors activated (95816.03 BogoMIPS)

799851773640505443227587778843318408448942358657645321015909970548509782091899293723375459950413273493687022446659239419771971841581503677477384737944997719209348275139682153374825217<183>

2059640625521171787083643134664595072962205577167269392806786300739973795558347296849139142901834039723930302811798750099113156869817152738662143101629258267648711789396897<172>

731188590337695269420902051688800221506021<42>
2816839120219228997358771550922828213146711064762713800902869156343149096094082606681718705040951177232623319264751187964412159757<130>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=906337848
Step 1 took 316763ms
Step 2 took 121693ms
********** Factor found in step 2: 731188590337695269420902051688800221506021
Found probable prime factor of 42 digits: 731188590337695269420902051688800221506021
Probable prime cofactor 2816839120219228997358771550922828213146711064762713800902869156343149096094082606681718705040951177232623319264751187964412159757 has 130 digits

40905309910878695400611768461702400073739281202838610254552317082808416623099275932477898142304300377759206961009867032685192846864026124617355023715190257<155>

22216141969816562713031369484298414337<38>
74568027385519530879402624277409969771<38>
24692120677870804483158383969561797057925848336929144203077115509142507994147091<80>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=287911477
Step 1 took 61594ms
********** Factor found in step 1: 22216141969816562713031369484298414337
Found probable prime factor of 38 digits: 22216141969816562713031369484298414337
Composite cofactor 1841242730914023231362225089281849010999404101261592386222973279717543245163055278019826291754256884154254359237586161 has 118 digits

Number: 118
N=1841242730914023231362225089281849010999404101261592386222973279717543245163055278019826291754256884154254359237586161
  ( 118 digits)
Divisors found:
 r1=74568027385519530879402624277409969771 (pp38)
 r2=24692120677870804483158383969561797057925848336929144203077115509142507994147091 (pp80)
Version: Msieve-1.40
Total time: 26.45 hours.
Scaled time: 49.07 units (timescale=1.855).
Factorization parameters were as follows:
name: 118g1
n: 1841242730914023231362225089281849010999404101261592386222973279717543245163055278019826291754256884154254359237586161
skew: 49082.27
# norm 4.13e+015
c5: 10920
c4: 3321566362
c3: 2298258033719
c2: -7843990939638117043
c1: 65035190182912173464841
c0: 1911962200560922552498403716
# alpha -5.23
Y1: 5065869305563
Y0: -44195154150216670024859
# Murphy_E 4.22e-010
# M 2441113321395627334400836560630081670851174900836594418621888011918301507837045813153993087609155655610306934747145
type: gnfs
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved algebraic special-q in [1900000, 3300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 568628 x 568862
Total sieving time: 25.62 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.42 hours.
Time per square root: 0.32 hours.
Prototype def-par.txt line would be:
gnfs,117,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3800000,3800000,27,27,53,53,2.5,2.5,100000
total time: 26.45 hours.
 --------- CPU info (if available) ----------

3899749949980645848598011812978313705996557560611527182672873864055041448079006054511150451780677023987604430785242508031660052524612018047717789229222104939807<160>

43504268080921026934246966213370169467559667814621460471761<59>
89640628885580470039057271025532203013100538115918161959535579305087425659425255409928478541426440687<101>

Number: 22223_221
N = 3899749949980645848598011812978313705996557560611527182672873864055041448079006054511150451780677023987604430785242508031660052524612018047717789229222104939807 (160 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=43504268080921026934246966213370169467559667814621460471761 (pp59)
r2=89640628885580470039057271025532203013100538115918161959535579305087425659425255409928478541426440687 (pp101)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 49.80 hours.
Factorization parameters were as follows:
n: 3899749949980645848598011812978313705996557560611527182672873864055041448079006054511150451780677023987604430785242508031660052524612018047717789229222104939807
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 20
c0: 7
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/28
Relations: 7923484 relations
Pruned matrix : 6975433 x 6975658
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 40.16 hours.
Total relation processing time: 0.42 hours.
Matrix solve time: 8.17 hours.
time per square root: 1.05 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,536870912,29,28,58,56,2.8,2.8,100000
total time: 49.80 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

14825010661882103718057401158929125284799203187464937038294821814922901596989388201199454182084959117882186910888434252753105949050240822377550864395116730226940749509090172719749141643483464684898400661619691<209>

3365971433796903689692604839079935919432610112827731921398386880542559841675496713888349018799<94>
4404378038692712401347970788361384450177882706487580587418869720021194920164015842125054082960729039050824790149509<115>

Number: 22223_222
N = 14825010661882103718057401158929125284799203187464937038294821814922901596989388201199454182084959117882186910888434252753105949050240822377550864395116730226940749509090172719749141643483464684898400661619691 (209 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=3365971433796903689692604839079935919432610112827731921398386880542559841675496713888349018799 (pp94)
r2=4404378038692712401347970788361384450177882706487580587418869720021194920164015842125054082960729039050824790149509 (pp115)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 52.29 hours.
Factorization parameters were as follows:
n: 14825010661882103718057401158929125284799203187464937038294821814922901596989388201199454182084959117882186910888434252753105949050240822377550864395116730226940749509090172719749141643483464684898400661619691
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 200
c0: 7
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 22369622
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/22369622
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 33747225
Relations: 7750244 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 26.31 hours.
Total relation processing time: 0.36 hours.
Pruned matrix : 6898200 x 6898425
Matrix solve time: 25.44 hours.
time per square root: 0.18 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,22369622,29,28,58,56,2.8,2.8,100000
total time: 52.29 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740741<222>

26636695821141663637706041034116159311846397551305565207046513807106648111709947590499<86>
27809032535965347803211310252229837625746626121239312008156204728951526448406665847319461482039015165917231678266079222281426802024448759<137>

N=740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740741
  ( 222 digits)
SNFS difficulty: 223 digits.
Divisors found:
 r1=26636695821141663637706041034116159311846397551305565207046513807106648111709947590499 (pp86)
 r2=27809032535965347803211310252229837625746626121239312008156204728951526448406665847319461482039015165917231678266079222281426802024448759 (pp137)
Version: Msieve v. 1.51
Total time:
Scaled time: 313.30 units (timescale=0.610).
Factorization parameters were as follows:
n: 740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740741
m: 10000000000000000000000000000000000000
deg: 6
c6: 20
c0: 7
skew: 0.84
type: snfs
lss: 1
rlim: 37000000
alim: 37000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
qintsize: 1600000
Factor base limits: 37000000/37000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved rational special-q in [18500000, 56900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 6301725 x 6301954
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,223.000,6,0,0,0,0,0,0,0,0,37000000,37000000,29,29,58,58,2.6,2.6,100000
total time:

1010909324006400855439557248808455079796860399705156164741645113700787853698028374516288102101194742679122302847800813014725648231830379564961338960721830906804719274499087985407887835324245956037949354059521966961047<217>

331002594598132649474533055207122930615109963303568003781<57>
3054082779120619915895872815908901627863574297361398667184559561582134492905196565775771303474198133736770160808730853622202404234958531689390097196324475734187<160>

prp57 factor: 331002594598132649474533055207122930615109963303568003781
prp160 factor: 3054082779120619915895872815908901627863574297361398667184559561582134492905196565775771303474198133736770160808730853622202404234958531689390097196324475734187

ggnfs-lasieve4I14e on the RSALS grid

197877787293891944809499112059500638039529778061385264075301357032256528408957091908785984176651077866302057441977766289663732712977467126565795289895402895172647380880916064849711527029686834662310167<201>

118119188710508125358595809260547<33>
1675238286463851498582276695676321255697086019837771311953844142263459487796016023669784123726126265033807189205675644715754138851954764838547316031097148365018251834461<169>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1221870904
Step 1 took 43734ms
Step 2 took 17369ms
********** Factor found in step 2: 118119188710508125358595809260547
Found probable prime factor of 33 digits: 118119188710508125358595809260547
Probable prime cofactor 1675238286463851498582276695676321255697086019837771311953844142263459487796016023669784123726126265033807189205675644715754138851954764838547316031097148365018251834461 has 169 digits

3284056071973372873368439892742728689349641955786753103022481005840693724004643655285770349242942974008338218366740393725482468887673788142258740925742566128574079273829521365247790240770570916727832211007170736433153859669<223>

960233946449884472702143169548683655870802913636018647047543454171440217701575022649<84>
3420058293205499476810927077023787970717266827271371395522171783524059743097149916138923135595083951154758110671982511627757068083227209981<139>

960233946449884472702143169548683655870802913636018647047543454171440217701575022649

ggnfs-lasieve4I14e on the RSALS grid

27434842249657064471879286694101508916323731138545953360768175582990397805212620027434842249657064471879286694101508916323731138545953360768175582990397805212620027434842249657064471879286694101508916323731138545953360768175583<227>

1908726042494906544350143389707373253316053393266707706420751427<64>
14373378703313979978267735069465617377064740860053568790312199500132873751633500069996216512379411800130055799138811675731878760293134673265880602058159757984664629<164>

1908726042494906544350143389707373253316053393266707706420751427

ggnfs-lasieve4I14e on the RSALS grid

7331405173772631131345789390723573033625489829508172683917463040553667718723309103039234014787444235499396991924457201089446808822612986117984303461522952796747788664914460830135007826275023002283732711630174597414213395210393<226>

761489302942899433410406219737540824275313<42>

9627719188489216836673052659600008831285967114879126064879183776584817937540223414958001054427260778106186075492969536330518170735806646471107695101277959336735963573424119422470645161<184>

Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=1574642402
Step 1 took 1280434ms
Step 2 took 418532ms
********** Factor found in step 2: 761489302942899433410406219737540824275313
Found probable prime factor of 42 digits: 761489302942899433410406219737540824275313
Composite cofactor 9627719188489216836673052659600008831285967114879126064879183776584817937540223414958001054427260778106186075492969536330518170735806646471107695101277959336735963573424119422470645161 has 184 digits

546848537828320425580389631745219486867378313991649692162032204943525735944443785149322023926272333996300010461292544764727460790052998984657208730472046266812116937932757328184605476638263026448977<198>

656614136610896783507537944060774610488226569668426069203152296010345830069688989894318178946203815315713335727626223196449415341240365929255270833643926183384525875299538008266606053538868930742710360886688188302702137271329<225>

2270920458239628150163513209752195651686819<43>
289140086007191485506233234243073754898763026151555745594356348661871362065097895836090322015397609876365658789006937675874530494773237455026880724762298734818505909294301526005053291<183>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3763474096
Step 1 took 464363ms
Step 2 took 117164ms
********** Factor found in step 2: 2270920458239628150163513209752195651686819
Found probable prime factor of 43 digits: 2270920458239628150163513209752195651686819
Probable prime cofactor 289140086007191485506233234243073754898763026151555745594356348661871362065097895836090322015397609876365658789006937675874530494773237455026880724762298734818505909294301526005053291 has 183 digits

27336007549552421504953463149537438738117228781591234749886596986445326051299540562476000532580977776226472908000422435372735200959250299959239150567950874974149342549110801248250295429383735650071449141902448579316172779903<224>

3339916988911937478183102785997484463526027087121479798719863362657486849088790541797019971330227944514432950739238346362734636543223941219804471057969253583896440779055687710564055214860275407863577893907<205>

17529470471103498192375741150077245341975887<44>
190531539125362197502118716314640523408266790370932641086899603437495588979246947316189567756500440243520585175191574503789004410229125892070740528087382279230461<162>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2288216161
Step 1 took 49196ms
Step 2 took 164ms
********** Factor found in step 2: 17529470471103498192375741150077245341975887
Found probable prime factor of 44 digits: 17529470471103498192375741150077245341975887
Probable prime cofactor 190531539125362197502118716314640523408266790370932641086899603437495588979246947316189567756500440243520585175191574503789004410229125892070740528087382279230461 has 162 digits

240722005104681465195367174810560932292335322798680647165665347851659698025524042380167144754728796437836295215079248205581985166035452775041100818582505043650177865192589378412402587644032508519943772581954088119<213>

456449039628431621093469734642697959<36>

527379804108338411832229877255460073889794356744261451967286771326725885379118044871879232872819984867865655967340581778434375102145624070064511981695964967814783509553763320241<177>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4219258440
Step 1 took 151274ms
Step 2 took 62541ms
********** Factor found in step 2: 456449039628431621093469734642697959
Found probable prime factor of 36 digits: 456449039628431621093469734642697959
Composite cofactor 527379804108338411832229877255460073889794356744261451967286771326725885379118044871879232872819984867865655967340581778434375102145624070064511981695964967814783509553763320241 has 177 digits

GMP-ECM 6.3

527379804108338411832229877255460073889794356744261451967286771326725885379118044871879232872819984867865655967340581778434375102145624070064511981695964967814783509553763320241<177>

29167723958948021754978798212007519426552864259<47>
18080937849336365054495399482351461504513751142395628516136870952789799743832790483019257326717931183008831604236302347718743645499<131>

GMP-ECM 7.0.5-dev [configured with GMP 6.2.0, --enable-asm-redc, --enable-assert] [ECM]
Input number is 527379804108338411832229877255460073889794356744261451967286771326725885379118044871879232872819984867865655967340581778434375102145624070064511981695964967814783509553763320241 (177 digits)
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:724367115
Step 1 took 84056ms
Step 2 took 26320ms
********** Factor found in step 2: 29167723958948021754978798212007519426552864259
Found prime factor of 47 digits: 29167723958948021754978798212007519426552864259
Prime cofactor 18080937849336365054495399482351461504513751142395628516136870952789799743832790483019257326717931183008831604236302347718743645499 has 131 digits

831172354457911459552137291258779998972963253693142240801227428466281286379742470636937258291253630989507959601761044413847708081047917460206642104096993916488514005992697921656538497965758736788493939165812270658645898573<222>

4237923390246580415570840540403440642160436352508832137197258608959881559953<76>
196127272232155738723808538405592843734878210383306401261774003955046941817516570475170568595481226119313729045069776947631317413269394263543788541<147>

Number: 22223_240
N = 831172354457911459552137291258779998972963253693142240801227428466281286379742470636937258291253630989507959601761044413847708081047917460206642104096993916488514005992697921656538497965758736788493939165812270658645898573 (222 digits)
SNFS difficulty: 241 digits.
Divisors found:
r1=4237923390246580415570840540403440642160436352508832137197258608959881559953 (pp76)
r2=196127272232155738723808538405592843734878210383306401261774003955046941817516570475170568595481226119313729045069776947631317413269394263543788541 (pp147)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 67.87 hours.
Factorization parameters were as follows:
n: 831172354457911459552137291258779998972963253693142240801227428466281286379742470636937258291253630989507959601761044413847708081047917460206642104096993916488514005992697921656538497965758736788493939165812270658645898573 
m: 1000000000000000000000000000000000000000000000000000000000000
deg: 4
c4: 2
c0: 7
skew: 1.00
type: snfs
lss: 1
rlim: 500000000
alim: 150000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 8
Number of threads per core: 1
Factor base limits: 500000000/150000000
Large primes per side: 3
Large prime bits: 29/29
Total raw relations: 48654248
Relations: 14982590 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 12.67 hours.
Total relation processing time: 0.49 hours.
Pruned matrix : 11180168 x 11180393
Matrix solve time: 54.48 hours.
time per square root: 0.22 hours.
Prototype def-par.txt line would be: snfs,241,4,0,0,0,0,0,0,0,0,500000000,150000000,29,29,58,58,2.8,2.8,100000
total time: 67.87 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 16, speed: 3.79GHz

GGNFS, NFS_factory, Msieve

250233891851717265569396701654708678178051891054761746526896461224303247905323242847257095096198732747503294879661369898768522035645193549636073572176712461028102445015684402214092897022443944018375021900979307027061127607<222>

3663417991537546908593074099246782398318063653656546282541922879969375283550255904076181003942936821553808170758184633684557476945278679782683541191163028911625326015816773387250339988047780627383842937031449803159<214>

852494292799165307822440291231559303551171<42>

4297293275135851825229380510527433419557100369951720103473674236096820191650904737669380164868318752633118525825640397888412150547821464923991240410532050193902536333635229<172>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=411351266
Step 1 took 152305ms
Step 2 took 53807ms
********** Factor found in step 2: 852494292799165307822440291231559303551171
Found probable prime factor of 42 digits: 852494292799165307822440291231559303551171
Composite cofactor 4297293275135851825229380510527433419557100369951720103473674236096820191650904737669380164868318752633118525825640397888412150547821464923991240410532050193902536333635229 has 172 digits

262946072218492547340387313387603290873248488255662664927433705549192531810328167717360263588609311506145444715029080877920300356162159579069808760285439749761936964918388405992114673096071789748587556831989754889816192173<222>

83214235324499005996090661555386740091484499571297<50>

3159868875717216388424000474592879731717858844460079142788173491566997315008363399331153334014054094691684734006207884501278410789670909936033545619231671254251273230466509<172>

GMP-ECM 7.0.5-dev [configured with GMP 6.2.0, --enable-asm-redc, --enable-assert] [ECM]
Input number is 262946072218492547340387313387603290873248488255662664927433705549192531810328167717360263588609311506145444715029080877920300356162159579069808760285439749761936964918388405992114673096071789748587556831989754889816192173 (222 digits)
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:858070110
Step 1 took 108664ms
Step 2 took 32620ms
********** Factor found in step 2: 83214235324499005996090661555386740091484499571297
Found prime factor of 50 digits: 83214235324499005996090661555386740091484499571297
Composite cofactor 3159868875717216388424000474592879731717858844460079142788173491566997315008363399331153334014054094691684734006207884501278410789670909936033545619231671254251273230466509 has 172 digits

79956942306945396196980233502040206546130188638130935245564218844651071044467191642907825434046196957909143952631433521359821281056485205558201864908856224687696576359342917994256783283783958077011449737497996476734319728976348034169<233>

81682752996375635646081734566960660829380403655923133527496451285490534238058694093064799500604878409246086416644503834353105754521635252977001253832168394926847042422976712071558540954278342827546065635525862309<212>

139977352573388679313447185877561<33>

583542633823926712906312741571992847032862816394401467872066786215973729862038593286827354836446081219879233987720966591244754261094827972778794364191293567141834979768475804734669<180>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1180050314
Step 1 took 49741ms
Step 2 took 19646ms
********** Factor found in step 2: 139977352573388679313447185877561
Found probable prime factor of 33 digits: 139977352573388679313447185877561
Composite cofactor 583542633823926712906312741571992847032862816394401467872066786215973729862038593286827354836446081219879233987720966591244754261094827972778794364191293567141834979768475804734669 has 180 digits

12763804000258755492975645646606898073935403001893662850896189469511078090639610281700300563396797513201517917266129092129569328633105907171647502813727941165541581060072558256198426944504608230075164120805021772155431884378198208419245461<239>

1497845983366845548636562503798752409975355784374163448690435278762237764960589517444580217144467254955408386315382513431394796962318828913120074240858594673939752563395383095401699855742216622753156349421882937112474217<220>

75872102323810027264282703373074173134220306510670511596884602000171043003950000329075082309697720326476295469984847321003525487776887952466421122877321754751949854363867133496765618696451515254260446225269459<209>

33853374683731195709619711610478111004598968882342027147027080682201700949492079175380101483134333848396482807373320740616527168845420551981690941906321539650224467637134660677401450734397331<191>

8472350334213479803411222916461143093352443331522672270178272104643420404451712901444388758556611922770018813995935019310143130647974987425150491614226665118998747207931393957106601976271409250856367<199>

200778873689468948343300758490439904251633<42>
42197419372503746675825989385353220168767500716894620035531069981376181935819974228582406645900825372129903599644240335380048037093092268861509054286207075999<158>

Input number is 8472350334213479803411222916461143093352443331522672270178272104643420404451712901444388758556611922770018813995935019310143130647974987425150491614226665118998747207931393957106601976271409250856367 (199 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1306999869
Step 1 took 17722ms
Step 2 took 7176ms
********** Factor found in step 2: 200778873689468948343300758490439904251633
Found probable prime factor of 42 digits: 200778873689468948343300758490439904251633
Probable prime cofactor 42197419372503746675825989385353220168767500716894620035531069981376181935819974228582406645900825372129903599644240335380048037093092268861509054286207075999 has 158 digits

GMP-ECM 6.4.4

85575234418599709309202129725231940261601774111277496139397247309383538230504915065862356682019552631748121634745255237326786544233161767780641470851334106719504806964469969686388305398200644676936855049<203>

2793105997857719224932822311659116361<37>

30638018923819915261306199993234694033640918773977949786277280002660640892288362391188665364997654226253004477463411462687897641415173035956853365739206619289527279809<167>

Input number is 85575234418599709309202129725231940261601774111277496139397247309383538230504915065862356682019552631748121634745255237326786544233161767780641470851334106719504806964469969686388305398200644676936855049 (203 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2036595203
Step 1 took 17550ms
Step 2 took 3978ms
********** Factor found in step 2: 2793105997857719224932822311659116361
Found probable prime factor of 37 digits: 2793105997857719224932822311659116361
Composite cofactor 30638018923819915261306199993234694033640918773977949786277280002660640892288362391188665364997654226253004477463411462687897641415173035956853365739206619289527279809 has 167 digits

GMP-ECM 6.4.4

30638018923819915261306199993234694033640918773977949786277280002660640892288362391188665364997654226253004477463411462687897641415173035956853365739206619289527279809<167>

7521740079796609060354809257928876994307166545522342798464398057688682331633853513<82>
4073262117380740424465907364462552282412741852029829078155451114387797901036917188793<85>

Number: 22223_254
N = 30638018923819915261306199993234694033640918773977949786277280002660640892288362391188665364997654226253004477463411462687897641415173035956853365739206619289527279809 (167 digits)
Divisors found:
r1=7521740079796609060354809257928876994307166545522342798464398057688682331633853513 (pp82)
r2=4073262117380740424465907364462552282412741852029829078155451114387797901036917188793 (pp85)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 1628.41 hours.
Factorization parameters were as follows:
n: 30638018923819915261306199993234694033640918773977949786277280002660640892288362391188665364997654226253004477463411462687897641415173035956853365739206619289527279809
# norm 2.802434e-16 alpha -8.324939 e 4.625e-13 rroots 5
skew: 782407295.10
c0: -3259650808029489261870664412383478683689252339
c1: 32105848947747586222471683155325934391
c2: 121813260234503453248615137474
c3: -402651611520640293439
c4: -213874151987
c5: 60
Y0: -874222394969611206558043364142020
Y1: 117704941755302969
type: gnfs
Factor base limits: 51400000/51400000
Large primes per side: 3
Large prime bits: 30/30
Sieved algebraic special-q in [0, 0)
Total raw relations: 118411649
Relations: 10989680 relations
Pruned matrix : 8030681 x 8030907
Total sieving time: 1589.53 hours.
Total relation processing time: 1.30 hours.
Matrix solve time: 36.63 hours.
time per square root: 0.96 hours.
Prototype def-par.txt line would be: gnfs,166,5,65,2000,1e-05,0.28,250,20,50000,3600,51400000,51400000,30,30,60,60,2.6,2.6,100000
total time: 1628.41 hours.
Intel64 Family 6 Model 94 Stepping 3, GenuineIntel
processors: 8, speed: 2.81GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

1326045688314906824100933369485731149133956959345474501959862814288953381264772689765789270657446190979741748271435859920032110987027235947995173268772943834813351180818876286733723252345262625246659431828020762376135333232652050601757<235>

2980866670685951794697273429060138607133491910038458059890509379388836236323917963138702308439975373715244827838434109330884498985639069879034256310836992171630054108283170641125844106564519106134103381316929901520727<217>

254619072914359946112715741274141<33>

11707161747810438998994047834260134241101015015643759413922502011583717330718032111287878778823479644170890211116650871014678959145261898751997781313494094274933723970441608300058342147<185>

Input number is 2980866670685951794697273429060138607133491910038458059890509379388836236323917963138702308439975373715244827838434109330884498985639069879034256310836992171630054108283170641125844106564519106134103381316929901520727 (217 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=318519470
Step 1 took 21840ms
Step 2 took 8798ms
********** Factor found in step 2: 254619072914359946112715741274141
Found probable prime factor of 33 digits: 254619072914359946112715741274141
Composite cofactor 11707161747810438998994047834260134241101015015643759413922502011583717330718032111287878778823479644170890211116650871014678959145261898751997781313494094274933723970441608300058342147 has 185 digits

GMP-ECM 6.4.4

303008453779113179811700194446059466008171872774228791002255175317648273848174620333055995503409779675819599322169358122450651131210034000355561903143993333394162822878755617458795622386655998429772059903153048784811814063<222>

171807415895868919711117398907032607659996730822997789384792144376462708942320205583076702603266582861848575976264117168211149604474178496894185624843329056994626125221571150128809951269676930318216423738559350241809371760217261316791<234>

1188324225472840387355360617434070881313293013309160282342068036269395204279137099600202682956093535396468425670435752963033610948036985651019346901112194731049888004355937672162280206060976904168542861142115352624566312186355107298760146335294697<247>

12399893422853573756244820090439695118315666830557755328805973432084952372458177587517968215600197280679859813520999681746044633970294143612970787188664513456499836994960272518190314046300539944023782562335673678746043443967862848803<233>

741548547799984764019276287270907705540813<42>
16721620532656147326262655353119645656908777764156376874028607949798804978163454344283384795235784404765061888170803846281156233656654342848948124922630548953465976024713273618516740240717231<191>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3:435025080
Step 1 took 345951ms
Step 2 took 99396ms
********** Factor found in step 2: 741548547799984764019276287270907705540813
Found prime factor of 42 digits: 741548547799984764019276287270907705540813

175898727992815556460828434171278567736854983634826658198623259924684434980936086685569962148235529723250318917785579676012240208576841438454715599888655979429060845574549377362388637845719735087739073235396911058724279181861663<228>

35875036522099398408622510719245737991471826238096485545115041246731181729923440729205129807267287693735848859446750083061391390460726481543796639799187875164507142080409840614657046893585374919248068670561041554885113240381329427<230>

1530698541933103881621897561061478210888930217749521082693692680123037548800582890004768125958121618591252210902706504626919017628289758172590852698583261964513815702364852712359548841911750636961930761912852739912122596707620506156086861019460535912866516199<259>