41246146041533380581382937109329549557946829659714681794095420363066533915011986623900432662432693705651217155512046742663409229<128>

23563769814083175297504581851112348513<38>
1750405235111493782019464819415041844908100509751846238928281927522333980653932785261889133<91>

Number: n
N=41246146041533380581382937109329549557946829659714681794095420363066533915011986623900432662432693705651217155512046742663409229
  ( 128 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=23563769814083175297504581851112348513 (pp38)
 r2=1750405235111493782019464819415041844908100509751846238928281927522333980653932785261889133 (pp91)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 19.30 hours.
Scaled time: 28.06 units (timescale=1.454).
Factorization parameters were as follows:
name: KA_5_9_155
n: 41246146041533380581382937109329549557946829659714681794095420363066533915011986623900432662432693705651217155512046742663409229
skew: 0.70
deg: 5
c5: 6
c0: -1
m: 10000000000000000000000000000000
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 algebraic special-q in [100000, 900001)
Primes: RFBsize:216816, AFBsize:216821, largePrimes:6743866 encountered
Relations: rels:6305075, finalFF:556166
Max relations in full relation-set: 28
Initial matrix: 433703 x 556166 with sparse part having weight 32299756.
Pruned matrix : 326541 x 328773 with weight 16053392.
Total sieving time: 16.97 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 2.06 hours.
Total square root time: 0.10 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,155,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 19.30 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

5754658547595349311495950603756779150156168225617883200618038320893662324167945261296559539792048549985733231130607693324550635705623295348791018257<148>

8293782204604425278695261694855447366239429<43>
373661139043910874867543028013950188940119372163<48>
1856902068363473523911678753942645197496692067981158293791<58>

Number: n
N=5754658547595349311495950603756779150156168225617883200618038320893662324167945261296559539792048549985733231130607693324550635705623295348791018257
  ( 148 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=8293782204604425278695261694855447366239429 (pp43)
 r2=373661139043910874867543028013950188940119372163 (pp48)
 r3=1856902068363473523911678753942645197496692067981158293791 (pp58)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 38.23 hours.
Scaled time: 50.61 units (timescale=1.324).
Factorization parameters were as follows:
name: KA_5_9_161
n: 5754658547595349311495950603756779150156168225617883200618038320893662324167945261296559539792048549985733231130607693324550635705623295348791018257
skew: 0.44
deg: 5
c5: 60
c0: -1
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, 1700001)
Primes: RFBsize:250150, AFBsize:249771, largePrimes:7114930 encountered
Relations: rels:6634553, finalFF:568518
Max relations in full relation-set: 48
Initial matrix: 499988 x 568518 with sparse part having weight 37166803.
Pruned matrix : 440914 x 443477 with weight 23182215.
Total sieving time: 33.28 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 4.57 hours.
Total square root time: 0.15 hours, sqrts: 2.
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: 38.23 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

11677282350125072565528496755056693390894578124346913826602577065368169930338426882409563592311243405998642515404383594961811857506465947731167175269<149>

8461863041793557423309640118101540415199<40>
1379989523873218126548187496324337406517253315539049102957670242333680936574239687581847686601665035459375931<109>

Number: n
N=11677282350125072565528496755056693390894578124346913826602577065368169930338426882409563592311243405998642515404383594961811857506465947731167175269
  ( 149 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=8461863041793557423309640118101540415199 (pp40)
 r2=1379989523873218126548187496324337406517253315539049102957670242333680936574239687581847686601665035459375931 (pp109)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 42.45 hours.
Scaled time: 61.47 units (timescale=1.448).
Factorization parameters were as follows:
name: KA_5_9_162
n: 11677282350125072565528496755056693390894578124346913826602577065368169930338426882409563592311243405998642515404383594961811857506465947731167175269
skew: 0.28
deg: 5
c5: 600
c0: -1
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, 1900001)
Primes: RFBsize:250150, AFBsize:249916, largePrimes:7325134 encountered
Relations: rels:6881070, finalFF:592491
Max relations in full relation-set: 28
Initial matrix: 500132 x 592491 with sparse part having weight 39869074.
Pruned matrix : 421848 x 424412 with weight 24612582.
Total sieving time: 37.71 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 4.45 hours.
Total square root time: 0.07 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000
total time: 42.45 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

42380540525215124668721828531862541489248188713554983302667738378356990135247744037254983887827374790178233211825033340098916886981695449499070108889055199<155>

12712979409464320156621733<26>

3333643448967159954626524687734330724615407100378702091659234658746271899362005594705868470962976554854259399799326518042378430003<130>

GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 42380540525215124668721828531862541489248188713554983302667738378356990135247744037254983887827374790178233211825033340098916886981695449499070108889055199 (155 digits)

Using B1=67108864, B2=388135833550, polynomial Dickson(30), sigma=3825239593

Step 1 took 1536572ms

Step 2 took 420607ms

********** Factor found in step 2: 12712979409464320156621733

Found probable prime factor of 26 digits: 12712979409464320156621733

Composite cofactor 3333643448967159954626524687734330724615407100378702091659234658746271899362005594705868470962976554854259399799326518042378430003 has 130 digits

3333643448967159954626524687734330724615407100378702091659234658746271899362005594705868470962976554854259399799326518042378430003<130>

37154591566665333519909747568949477<35>
64960406415076577673529410226373905391<38>
1381204303898828183886023860415270650257402155513930927929<58>

GMP-ECM 6.1.3 [powered by GMP 4.2.1] [ECM]
Input number is 3333643448967159954626524687734330724615407100378702091659234658746271899362005594705868470962976554854259399799326518042378430003 (130 digits)
Using B1=792000, B2=696806892, polynomial Dickson(3), sigma=1672330505
Step 1 took 7816ms
Step 2 took 3320ms
********** Factor found in step 2: 37154591566665333519909747568949477
Found probable prime factor of 35 digits: 37154591566665333519909747568949477
Composite cofactor 89723592923520817279753844783907710962661690251065459520368194642257369051521960751508285565239 has 95 digits


Number: n
N=89723592923520817279753844783907710962661690251065459520368194642257369051521960751508285565239
  ( 95 digits)
Divisors found:
 r1=64960406415076577673529410226373905391 (pp38)
 r2=1381204303898828183886023860415270650257402155513930927929 (pp58)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 6.46 hours.
Scaled time: 9.34 units (timescale=1.446).
Factorization parameters were as follows:
name: KA_5_9_166
n:  89723592923520817279753844783907710962661690251065459520368194642257369051521960751508285565239
m:  5984868794652303062657
deg: 4
c4: 69933960
c3: 104353378371
c2: 1096699571646412484
c1: -848692618763956120
c0: -668297857122058317044800
skew: 1635.250
type: gnfs
# adj. I(F,S) = 55.465
# E(F1,F2) = 3.088979e-05
# GGNFS version 0.77.1-20051202-athlon polyselect.
# Options were: 
# lcd=1, enumLCD=24, maxS1=60.00000000, seed=1201785727.
# maxskew=2000.0
# These parameters should be manually set:
rlim: 1200000
alim: 1200000
lpbr: 26
lpba: 26
mfbr: 45
mfba: 45
rlambda: 2.4
alambda: 2.4
qintsize: 50000

type: gnfs
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [100000, 1000001)
Primes: RFBsize:92938, AFBsize:93074, largePrimes:2445364 encountered
Relations: rels:2348038, finalFF:215671
Max relations in full relation-set: 28
Initial matrix: 186089 x 215671 with sparse part having weight 14207860.
Pruned matrix : 168592 x 169586 with weight 9112248.
Total sieving time: 5.83 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.42 hours.
Total square root time: 0.10 hours, sqrts: 3.
Prototype def-par.txt line would be:
gnfs,94,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1200000,1200000,26,26,45,45,2.4,2.4,60000
total time: 6.46 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

2073918789120555241777412718931761222138728312714120090213644066759956251473455550355577596543455186398717617299196934179<121>

7293628624498449156699219017293493<34>
284346639497725940029917594329688361811266078086355525897345582582328575687665394870903<87>

Using B1=3000000, B2=5706890290, polynomial Dickson(30), sigma=2910471932
Step 1 took 33281ms
Step 2 took 18938ms
********** Factor found in step 2: 7293628624498449156699219017293493
Found probable prime factor of 34 digits: 7293628624498449156699219017293493
Probable prime cofactor 284346639497725940029917594329688361811266078086355525897345582582328575687665394870903 has 87 digits

GmpEcm 6.1.3

14042240618573703328401531085981919828644470632765841944985245069454083580133788821621413262994968730997692424955288658406919799538751<134>

6720571008125216270124997913782507<34>
2089441596792376491620750374295583364339925722989928143182632024080598639760461288200867439741680893<100>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3109165435
Step 1 took 12077ms
Step 2 took 9621ms
********** Factor found in step 2: 6720571008125216270124997913782507
Found probable prime factor of 34 digits: 6720571008125216270124997913782507
Probable prime cofactor 2089441596792376491620750374295583364339925722989928143182632024080598639760461288200867439741680893 has 100 digits

GMP-ECM 6.2.1

158460608013352947235258541687024453112826593915640854313958002656856194357217748644501548952443330525059224652244990664029177879955525389350918939475970769299841803493<168>

10527309174692505715358220955631<32>

15052337248182079245295376732473140587727231583696298965536998382697969877116207805028160665561308034389058830834673663504559791338218603<137>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3257129926
Step 1 took 26700ms
********** Factor found in step 1: 10527309174692505715358220955631
Found probable prime factor of 32 digits: 10527309174692505715358220955631
Composite cofactor 15052337248182079245295376732473140587727231583696298965536998382697969877116207805028160665561308034389058830834673663504559791338218603 has 137 digits

GMP-ECM 6.2.1

15052337248182079245295376732473140587727231583696298965536998382697969877116207805028160665561308034389058830834673663504559791338218603<137>

309793385335839304094931297711583116445907393494103977206383<60>
48588310663457887601219600419401179699521853543504679254780302170376409574341<77>

Number: 59999_172
N=15052337248182079245295376732473140587727231583696298965536998382697969877116207805028160665561308034389058830834673663504559791338218603
  ( 137 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=309793385335839304094931297711583116445907393494103977206383
 r2=48588310663457887601219600419401179699521853543504679254780302170376409574341
Version: 
Total time: 36.38 hours.
Scaled time: 86.81 units (timescale=2.386).
Factorization parameters were as follows:
n: 15052337248182079245295376732473140587727231583696298965536998382697969877116207805028160665561308034389058830834673663504559791338218603
m: 20000000000000000000000000000000000
deg: 5
c5: 75
c0: -4
skew: 0.56
type: snfs
lss: 1
rlim: 6400000
alim: 6400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 6400000/6400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [3200000, 5900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 11152231
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 974236 x 974484
Total sieving time: 32.60 hours.
Total relation processing time: 1.52 hours.
Matrix solve time: 2.14 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,6400000,6400000,27,27,52,52,2.4,2.4,100000
total time: 36.38 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046640k/8912896k available (2550k kernel code, 339524k reserved, 1291k data, 208k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5345.56 BogoMIPS (lpj=2672784)
Calibrating delay using timer specific routine.. 5344.75 BogoMIPS (lpj=2672377)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672342)
Calibrating delay using timer specific routine.. 5344.70 BogoMIPS (lpj=2672353)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

101857473832272696598651976814592704706032613934294506074825671003217449992388103554805227064451567786741383694544324445483121109739396746688739636207<150>

20546681584297179439544553169075952341<38>

4957368585987012421336435230959147904107104720246843895074059519403671637558839501911510239834859772382225903027<112>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1624081815
Step 1 took 14453ms
Step 2 took 10996ms
********** Factor found in step 2: 20546681584297179439544553169075952341
Found probable prime factor of 38 digits: 20546681584297179439544553169075952341
Composite cofactor 4957368585987012421336435230959147904107104720246843895074059519403671637558839501911510239834859772382225903027 has 112 digits

GMP-ECM 6.2.1

4957368585987012421336435230959147904107104720246843895074059519403671637558839501911510239834859772382225903027<112>

53428999410989900919046470530953734472804557616368781<53>
92784230298861313197303857948581192121788284162444016808767<59>

Number: 59999_173
N=4957368585987012421336435230959147904107104720246843895074059519403671637558839501911510239834859772382225903027
  ( 112 digits)
Divisors found:
 r1=53428999410989900919046470530953734472804557616368781
 r2=92784230298861313197303857948581192121788284162444016808767
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.314).
Factorization parameters were as follows:
name: 59999_173
n: 4957368585987012421336435230959147904107104720246843895074059519403671637558839501911510239834859772382225903027
skew: 12484.82
# norm 9.97e+14
c5: 50400
c4: -5841185348
c3: -54516924114116
c2: 799289440818286359
c1: 1836172894286450032140
c0: -11508237231544326150287190
# alpha -5.31
Y1: 359724270407
Y0: -2503603679782615335551
# Murphy_E 8.14e-10
# M 2940404575292636002365519038296432669014495572869498409424791177403342616136593791228801633381886273626809455453
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1750000, 3650001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 447391 x 447633
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.61 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
gnfs,112,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 22.00 hours.

Msieve-1.38+pol51

Opteron-2.6GHz; Linux x86_64

363305814651262832969806732578323590200700059687593582374442939450804796010110135509146831467516569517986092290018743800270527413991185207861383823<147>

4377830453093505504381429331801225862588053958648601821602876203502681051<73>
82987639321330983463201182406477468083679082354734448996697936818652462173<74>

Number: 59999_174
N=363305814651262832969806732578323590200700059687593582374442939450804796010110135509146831467516569517986092290018743800270527413991185207861383823
  ( 147 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=4377830453093505504381429331801225862588053958648601821602876203502681051 (pp73)
 r2=82987639321330983463201182406477468083679082354734448996697936818652462173 (pp74)
Version: Msieve-1.40
Total time: 62.19 hours.
Scaled time: 207.66 units (timescale=3.339).
Factorization parameters were as follows:
name: 59999_174
n: 363305814651262832969806732578323590200700059687593582374442939450804796010110135509146831467516569517986092290018743800270527413991185207861383823
m: 100000000000000000000000000000000000
deg: 5
c5: 3
c0: -5
skew: 1.11
type: snfs
lss: 1
rlim: 5900000
alim: 5900000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5900000/5900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [2950000, 5850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1022541 x 1022789
Total sieving time: 59.77 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 2.21 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,175.000,5,0,0,0,0,0,0,0,0,5900000,5900000,28,28,52,52,2.5,2.5,100000
total time: 62.19 hours.
 --------- CPU info (if available) ----------

387515066120208673360721553568032958377932806855532462895231578125905792872581648553959939875118989601130150913793808472733556843936511913610382913175573<153>

1199957761620461468118405565148809667093672061199543170259030057791043<70>
322940588839473726687584052243149346589728994478475409111736442256055691359527808711<84>

Number: 59999_176
N=387515066120208673360721553568032958377932806855532462895231578125905792872581648553959939875118989601130150913793808472733556843936511913610382913175573
  ( 153 digits)
SNFS difficulty: 177 digits.
Divisors found:
 r1=1199957761620461468118405565148809667093672061199543170259030057791043 (pp70)
 r2=322940588839473726687584052243149346589728994478475409111736442256055691359527808711 (pp84)
Version: Msieve-1.40
Total time: 70.81 hours.
Scaled time: 237.72 units (timescale=3.357).
Factorization parameters were as follows:
name: 59999_176
n: 387515066120208673360721553568032958377932806855532462895231578125905792872581648553959939875118989601130150913793808472733556843936511913610382913175573
m: 200000000000000000000000000000000000
deg: 5
c5: 15
c0: -8
skew: 0.88
type: snfs
lss: 1
rlim: 6400000
alim: 6400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6400000/6400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3200000, 6400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1188531 x 1188779
Total sieving time: 67.80 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 2.75 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,177.000,5,0,0,0,0,0,0,0,0,6400000,6400000,28,28,53,53,2.5,2.5,100000
total time: 70.81 hours.
 --------- CPU info (if available) ----------

41247914653116248049413346164540241593723737985855781308700472753384433598071487379042959672169128034542488669258083369424096252382458746050385502554577269<155>

2134599379553078846457397762501<31>

19323492290039138638815316517611068312752099363413275545931587268134829069485406364310774661002256608058736716295392500214769<125>

GMP-ECM6.2.3[powered by GMP 4.3.1][ECM]
input number is
41247914653116248049413346164540241593723737985855781308700472753384433598071487379042959672169128034542488669258083369424096252382458746050385502554577269

Run 28 out of 10000:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3657672614
Step 1 took 39920ms
Step 2 took 17734ms
********** Factor found in step 2: 2134599379553078846457397762501
Found probable prime factor of 31 digits: 2134599379553078846457397762501
Composite cofactor 19323492290039138638815316517611068312752099363413275545931587268134829069485406364310774661002256608058736716295392500214769 has 125 digits

19323492290039138638815316517611068312752099363413275545931587268134829069485406364310774661002256608058736716295392500214769<125>

2612221635774246750954450916549<31>
630726357249729854245007611079998752429959<42>
11728287839848260529211822787806892333944451684664859<53>

input number is
19323492290039138638815316517611068312752099363413275545931587268134829069485406364310774661002256608058736716295392500214769
Run 460 out of 7553:
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3697522187
Step 1 took 72052ms
Step 2 took 33792ms
********** Factor found in step 2: 630726357249729854245007611079998752429959
Found probable prime factor of 42 digits: 630726357249729854245007611079998752429959
Probable prime cofactor 11728287839848260529211822787806892333944451684664859 has 53 digits

201809813115647133250553212747864288202896217227991350567295137528404617678007456453502911258079727890895528445717591847212096503608090210582105616636279664187139030796607<171>

298716705932280059000729938505471<33>
675589309562746723090472275034259356819506679454841812592974658819494178186471751132798670903173117107700007029230329053233402544370951617<138>

input number is
201809813115647133250553212747864288202896217227991350567295137528404617678007456453502911258079727890895528445717591847212096503608090210582105616636279664187139030796607

Run 116 out of 2350:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3490299074
Step 1 took 10244ms
Step 2 took 5970ms
********** Factor found in step 2: 298716705932280059000729938505471
Found probable prime factor of 33 digits: 298716705932280059000729938505471
Probable prime cofactor 675589309562746723090472275034259356819506679454841812592974658819494178186471751132798670903173117107700007029230329053233402544370951617 has 138 digits

GMP-ECM 6.2.3

3589904790917281081704651844819933368931090596346351831443364502544397381852188944206243859153785535672534395186545124553864469943600705340445084551330647199178494179<166>

681683799034595926517755346160165173<36>

5266231639949962957625555506172842343649977284297109659058979603488997179970876035150164573856074896623381506221376644219732362423<130>

input numer is
3589904790917281081704651844819933368931090596346351831443364502544397381852188944206243859153785535672534395186545124553864469943600705340445084551330647199178494179

Run 1018 out of 2350:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3992605710
Step 1 took 10102ms
Step 2 took 5989ms
********** Factor found in step 2: 681683799034595926517755346160165173
Found probable prime factor of 36 digits: 681683799034595926517755346160165173
Composite cofactor 5266231639949962957625555506172842343649977284297109659058979603488997179970876035150164573856074896623381506221376644219732362423 has 130 digits

GMP-ECM6.2.3

5266231639949962957625555506172842343649977284297109659058979603488997179970876035150164573856074896623381506221376644219732362423<130>

1667981753435024562937155702752452827541348773356261947<55>
3157247751124818590631287053704974634760019103743289190249887893957501686709<76>

Number: 59999_180
N=5266231639949962957625555506172842343649977284297109659058979603488997179970876035150164573856074896623381506221376644219732362423
  ( 130 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=1667981753435024562937155702752452827541348773356261947
 r2=3157247751124818590631287053704974634760019103743289190249887893957501686709
Version: 
Total time: 64.41 hours.
Scaled time: 153.55 units (timescale=2.384).
Factorization parameters were as follows:
n: 5266231639949962957625555506172842343649977284297109659058979603488997179970876035150164573856074896623381506221376644219732362423
m: 1000000000000000000000000000000000000
deg: 5
c5: 6
c0: -1
skew: 0.70
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [2700000, 4500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 17754979
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1127341 x 1127589
Total sieving time: 59.57 hours.
Total relation processing time: 1.67 hours.
Matrix solve time: 3.03 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,180,5,0,0,0,0,0,0,0,0,5400000,5400000,28,28,53,53,2.5,2.5,100000
total time: 64.41 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046640k/8912896k available (2550k kernel code, 339524k reserved, 1291k data, 208k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5345.56 BogoMIPS (lpj=2672784)
Calibrating delay using timer specific routine.. 5344.75 BogoMIPS (lpj=2672377)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672342)
Calibrating delay using timer specific routine.. 5344.70 BogoMIPS (lpj=2672353)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

302130016617150913943300266881514678483307316581902412004632660254796314013797270758849891736744045520922503650737700790573543481544891484969031673296742031320811722644644745455461<180>

112649776609562047883105198303449664536396037482590034913768341<63>
2682029434148964127373780620479656968569866368989364416202844775610580864046145940166851280210227212021563042712498321<118>

Number: 59999_183
N=302130016617150913943300266881514678483307316581902412004632660254796314013797270758849891736744045520922503650737700790573543481544891484969031673296742031320811722644644745455461
  ( 180 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=112649776609562047883105198303449664536396037482590034913768341 (pp63)
 r2=2682029434148964127373780620479656968569866368989364416202844775610580864046145940166851280210227212021563042712498321 (pp118)
Version: GGNFS-0.77.1-20060722-nocona
Total time: 571.11 hours.
Scaled time: 1149.08 units (timescale=2.012).
Factorization parameters were as follows:
n: 302130016617150913943300266881514678483307316581902412004632660254796314013797270758849891736744045520922503650737700790573543481544891484969031673296742031320811722644644745455461
m: 2000000000000000000000000000000000000
c5: 375
c0: -2
skew: 0.35
type: snfs
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [3700000, 10800001)
Primes: RFBsize:501962, AFBsize:501426, largePrimes:6705920 encountered
Relations: rels:7228998, finalFF:1191175
Max relations in full relation-set: 32
Initial matrix: 1003454 x 1191175 with sparse part having weight 89284613.
Pruned matrix : 846750 x 851831 with weight 68965118.
Total sieving time: 563.95 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 6.82 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
snfs,184,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000
total time: 571.11 hours.
 --------- CPU info (if available) ----------

148668018517070905684544307890946774127347759757216531741882636657144128128110225281721236039764486753579971468028454082958518441954727658584230754908987838649991438440383<171>

57117698157139964753400093009593909972789011805862001560536999047391<68>
2602836306674356872625815446311670047901248629915432935538570606381323277317170808071072441498712577313<103>

Number: 59999_188
N=148668018517070905684544307890946774127347759757216531741882636657144128128110225281721236039764486753579971468028454082958518441954727658584230754908987838649991438440383
  ( 171 digits)
SNFS difficulty: 190 digits.
Divisors found:
 r1=57117698157139964753400093009593909972789011805862001560536999047391 (pp68)
 r2=2602836306674356872625815446311670047901248629915432935538570606381323277317170808071072441498712577313 (pp103)
Version: Msieve-1.40
Total time: 243.25 hours.
Scaled time: 812.21 units (timescale=3.339).
Factorization parameters were as follows:
name: 59999_188
n: 148668018517070905684544307890946774127347759757216531741882636657144128128110225281721236039764486753579971468028454082958518441954727658584230754908987838649991438440383
m: 100000000000000000000000000000000000000
deg: 5
c5: 3
c0: -50
skew: 1.76
type: snfs
lss: 1
rlim: 10500000
alim: 10500000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10500000/10500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5250000, 9150001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1934519 x 1934767
Total sieving time: 234.93 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 7.80 hours.
Time per square root: 0.30 hours.
Prototype def-par.txt line would be:
snfs,190.000,5,0,0,0,0,0,0,0,0,10500000,10500000,28,28,54,54,2.5,2.5,100000
total time: 243.25 hours.
 --------- CPU info (if available) ----------

533515100303083157639847680283464817170873707237507621607708225504364694410061441517430607418323801777076750548015860321229646424651943117307783577462189736660856819237<168>

1068669522076286577048636589543573089449403710797811316339675258967441<70>
499233008223657734568358907858974997169170262219127947706464089319110649403939282546439796649891157<99>

Number: 59999_190
N=533515100303083157639847680283464817170873707237507621607708225504364694410061441517430607418323801777076750548015860321229646424651943117307783577462189736660856819237
  ( 168 digits)
SNFS difficulty: 190 digits.
Divisors found:
 r1=1068669522076286577048636589543573089449403710797811316339675258967441
 r2=499233008223657734568358907858974997169170262219127947706464089319110649403939282546439796649891157
Version: 
Total time: 140.20 hours.
Scaled time: 334.79 units (timescale=2.388).
Factorization parameters were as follows:
n: 533515100303083157639847680283464817170873707237507621607708225504364694410061441517430607418323801777076750548015860321229646424651943117307783577462189736660856819237
m: 100000000000000000000000000000000000000
deg: 5
c5: 6
c0: -1
skew: 0.70
type: snfs
lss: 1
rlim: 9000000
alim: 9000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4500000, 8100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20416888
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1805444 x 1805692
Total sieving time: 127.86 hours.
Total relation processing time: 3.87 hours.
Matrix solve time: 7.86 hours.
Time per square root: 0.61 hours.
Prototype def-par.txt line would be:
snfs,190,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,54,54,2.5,2.5,100000
total time: 140.20 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046640k/8912896k available (2550k kernel code, 339524k reserved, 1291k data, 208k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5345.56 BogoMIPS (lpj=2672784)
Calibrating delay using timer specific routine.. 5344.75 BogoMIPS (lpj=2672377)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672342)
Calibrating delay using timer specific routine.. 5344.70 BogoMIPS (lpj=2672353)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

1448655020660411709321686029932904914892812371603489889670419419960086718622809920923633397014146921840330621282015047668861645904218955937822148407174568592627956473581<169>

2207258611302686915949133925125089382578399703<46>
90556637017025738930921549143554338530296604123554437<53>
7247554172838869372638671347348497446154983740920957897622309609160671<70>

GMP-ECM 6.2.3 [powered by GMP 5.0.0] [ECM]
Input number is 1448655020660411709321686029932904914892812371603489889670419419960086718622809920923633397014146921840330621282015047668861645904218955937822148407174568592627956473581 (169 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4589964423
Step 1 took 52759ms
Step 2 took 20781ms
********** Factor found in step 2: 2207258611302686915949133925125089382578399703
Found probable prime factor of 46 digits: 2207258611302686915949133925125089382578399703
Composite cofactor 656314132490999718502923557599901031784771408070534097421775058221672016679230264227893503563211135956697224060820747947227 has 123 digits

Number: 59999_191
N=656314132490999718502923557599901031784771408070534097421775058221672016679230264227893503563211135956697224060820747947227
  ( 123 digits)
Divisors found:
 r1=90556637017025738930921549143554338530296604123554437
 r2=7247554172838869372638671347348497446154983740920957897622309609160671
Version: 
Total time: 41.23 hours.
Scaled time: 97.51 units (timescale=2.365).
Factorization parameters were as follows:
name: 59999_191
n: 656314132490999718502923557599901031784771408070534097421775058221672016679230264227893503563211135956697224060820747947227
skew: 36897.04
# norm 8.05e+15
c5: 45180
c4: -10720739596
c3: -143336710681935
c2: 11604334175178908721
c1: 143203195666003841036875
c0: -1371705411668703471522703725
# alpha -4.75
Y1: 6701579447959
Y0: -428976427276559419697558
# Murphy_E 2.18e-10
# M 468783001142923642374523887580427940058985339142674924408906906107125398318804941841172187367199943517927456224125228496730
type: gnfs
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved algebraic special-q in [2800000, 5600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 10998583
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 873920 x 874168
Polynomial selection time: 4.11 hours.
Total sieving time: 33.72 hours.
Total relation processing time: 1.49 hours.
Matrix solve time: 1.58 hours.
Time per square root: 0.32 hours.
Prototype def-par.txt line would be:
gnfs,122,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5600000,5600000,27,27,53,53,2.4,2.4,100000
total time: 41.23 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046640k/8912896k available (2550k kernel code, 339524k reserved, 1291k data, 208k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5345.59 BogoMIPS (lpj=2672798)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.75 BogoMIPS (lpj=2672376)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672340)

GMP-ECM v6.2.3 / GGNFS / Msieve v1.39

Core 2 Quad Q6700

975530603289261570483955854638786218809238079707028649220168965152258377734879722767209619902385156066198856385473763998660921658551606950915689930199159450314519195922152007503781400501<186>

890232504322972376418629865797962384943059627593763817566906419095999519232749088479<84>
1095815529709465005938774668510968742822557932763346596236533113736034194519679191569679150889348208619<103>

N=975530603289261570483955854638786218809238079707028649220168965152258377734879722767209619902385156066198856385473763998660921658551606950915689930199159450314519195922152007503781400501
  ( 186 digits)
SNFS difficulty: 193 digits.
Divisors found:
 r1=890232504322972376418629865797962384943059627593763817566906419095999519232749088479 (pp84)
 r2=1095815529709465005938774668510968742822557932763346596236533113736034194519679191569679150889348208619 (pp103)
Version: GGNFS-0.77.1-20060722-nocona

6644733876747052811348142304063686673332811352572126648184708540376780774835772633597081278495525934562439290665799012083116318170678184796029372824611031122050804084783703391483245248157<187>

1516632346151500277954536060378045125068422346041930999287498979457151018659890169586137<88>
4381242358181442462982697544631107043610426689990288938779511626077241255277831936698304127384847461<100>

Number: n
N=6644733876747052811348142304063686673332811352572126648184708540376780774835772633597081278495525934562439290665799012083116318170678184796029372824611031122050804084783703391483245248157
  ( 187 digits)
SNFS difficulty: 193 digits.
Divisors found:

Fri Feb  5 00:12:29 2010  prp88 factor: 1516632346151500277954536060378045125068422346041930999287498979457151018659890169586137
Fri Feb  5 00:12:29 2010  prp100 factor: 4381242358181442462982697544631107043610426689990288938779511626077241255277831936698304127384847461
Fri Feb  5 00:12:29 2010  elapsed time 06:54:00 (Msieve 1.42 - dependency 2)

Version: 
Total time: 17.25 hours.
Scaled time: 14.52 units (timescale=0.842).
Factorization parameters were as follows:
name: KA_5_9_193
n: 6644733876747052811348142304063686673332811352572126648184708540376780774835772633597081278495525934562439290665799012083116318170678184796029372824611031122050804084783703391483245248157
m: 100000000000000000000000000000000000000
deg: 5
c5: 6000
c0: -1
skew: 0.18
type: snfs
lss: 1
rlim: 11900000
alim: 11900000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 11900000/11900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 10593521)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3281256 hash collisions in 27695873 relations
Msieve: matrix is 1616522 x 1616747 (433.5 MB)

Total sieving time: 17.25 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,193,5,0,0,0,0,0,0,0,0,11900000,11900000,28,28,56,56,2.5,2.5,100000
total time: 17.25 hours.
 --------- CPU info (if available) ----------

31578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421<194>

552558220648518327302187386107<30>
57150443497805430547760194830899991379283534240795388543593799035627131426642721828037543684764910233345763252213386580962086660768427630404724977220097501462854303<164>

GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 31578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421 (194 digits)

Using B1=6700417, B2=14271659230, polynomial Dickson(12), sigma=3937428304

Step 1 took 218861ms

********** Factor found in step 1: 552558220648518327302187386107

Found probable prime factor of 30 digits: 552558220648518327302187386107

Probable prime cofactor 57150443497805430547760194830899991379283534240795388543593799035627131426642721828037543684764910233345763252213386580962086660768427630404724977220097501462854303 has 164 digits

550336101268352742564175065850917931481205184392555598091471053185697161080095645688402284757417068791897730021611279524144412805156235122623724053442449406480212673871521921483484409611<186>

17253817355623566112321465041942476905270348174965261634057331856786187607700175849<83>
31896483538988011753358606625205433955085150494886055908088192101333897750007664195410505024842869923539<104>

Number: 59999_195
N=550336101268352742564175065850917931481205184392555598091471053185697161080095645688402284757417068791897730021611279524144412805156235122623724053442449406480212673871521921483484409611
  ( 186 digits)
SNFS difficulty: 195 digits.
Divisors found:
 r1=17253817355623566112321465041942476905270348174965261634057331856786187607700175849
 r2=31896483538988011753358606625205433955085150494886055908088192101333897750007664195410505024842869923539
Version: 
Total time: 203.15 hours.
Scaled time: 484.72 units (timescale=2.386).
Factorization parameters were as follows:
n: 550336101268352742564175065850917931481205184392555598091471053185697161080095645688402284757417068791897730021611279524144412805156235122623724053442449406480212673871521921483484409611
m: 1000000000000000000000000000000000000000
deg: 5
c5: 6
c0: -1
skew: 0.70
type: snfs
lss: 1
rlim: 12000000
alim: 12000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12000000/12000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6000000, 11000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 22546637
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2171223 x 2171470
Total sieving time: 183.79 hours.
Total relation processing time: 6.01 hours.
Matrix solve time: 12.19 hours.
Time per square root: 1.16 hours.
Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,12000000,12000000,28,28,55,55,2.5,2.5,100000
total time: 203.15 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046640k/8912896k available (2550k kernel code, 339524k reserved, 1291k data, 208k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5345.61 BogoMIPS (lpj=2672808)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672339)
Calibrating delay using timer specific routine.. 5237.81 BogoMIPS (lpj=2618905)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

20555764621765647911485830050053714542366345013565312334092430892405676656830728219739470267526198082556810843831327605479246095026060161057990843447396804600595052488350701<173>

131309971143989544560120036738503636759330165792703<51>
156543821026546220303197668889119878375130371187317181411817012017399575242875657648645613675432644203068207458856937533267<123>

Number: 59999_196
N=20555764621765647911485830050053714542366345013565312334092430892405676656830728219739470267526198082556810843831327605479246095026060161057990843447396804600595052488350701
  ( 173 digits)
SNFS difficulty: 196 digits.
Divisors found:
 r1=131309971143989544560120036738503636759330165792703
 r2=156543821026546220303197668889119878375130371187317181411817012017399575242875657648645613675432644203068207458856937533267
Version: 
Total time: 228.57 hours.
Scaled time: 546.50 units (timescale=2.391).
Factorization parameters were as follows:
n: 20555764621765647911485830050053714542366345013565312334092430892405676656830728219739470267526198082556810843831327605479246095026060161057990843447396804600595052488350701
m: 1000000000000000000000000000000000000000
deg: 5
c5: 60
c0: -1
skew: 0.44
type: snfs
lss: 1
rlim: 13000000
alim: 13000000
lpbr: 29
lpba: 29
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13000000/13000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 55/55
Sieved rational special-q in [6500000, 11900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 33329072
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2554028 x 2554276
Total sieving time: 201.96 hours.
Total relation processing time: 9.17 hours.
Matrix solve time: 17.05 hours.
Time per square root: 0.39 hours.
Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13000000,13000000,29,29,55,55,2.5,2.5,100000
total time: 228.57 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046640k/8912896k available (2550k kernel code, 339524k reserved, 1291k data, 208k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5345.61 BogoMIPS (lpj=2672808)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672339)
Calibrating delay using timer specific routine.. 5237.81 BogoMIPS (lpj=2618905)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

49766681564776680529172112494133309629596591893529357276525958753512660014711109005771121090421475985290545020879581630346816937<128>

1977341005678468116703941828020617788403<40>
25168487085362731602320955256733472748105735580583285164870970125177601063461429215617779<89>

GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM]
Input number is 49766681564776680529172112494133309629596591893529357276525958753512660014711109005771121090421475985290545020879581630346816937 (128 digits)
Using B1=2748000, B2=3544623458, polynomial Dickson(6), sigma=1243328466
Step 1 took 33172ms
Step 2 took 17219ms
********** Factor found in step 2: 1977341005678468116703941828020617788403
Found probable prime factor of 40 digits: 1977341005678468116703941828020617788403
Probable prime cofactor 25168487085362731602320955256733472748105735580583285164870970125177601063461429215617779 has 89 digits

15159978398253593344825911164591246862926799264607272003481374277905250397310855546664187525785667901178698609930590639490945265521886299849320035876678068475100468972565852953<176>

4569627889176439619692576134587600153187919483774016394308231<61>
3317552055860241560640476484811440530702110848698129171915852300421896746179446222986050995219553739091890680282463<115>

Number: n
N=15159978398253593344825911164591246862926799264607272003481374277905250397310855546664187525785667901178698609930590639490945265521886299849320035876678068475100468972565852953
  ( 176 digits)
SNFS difficulty: 199 digits.
Divisors found:

Thu Feb 11 20:43:40 2010  prp61 factor: 4569627889176439619692576134587600153187919483774016394308231
Thu Feb 11 20:43:40 2010  prp115 factor: 3317552055860241560640476484811440530702110848698129171915852300421896746179446222986050995219553739091890680282463
Thu Feb 11 20:43:40 2010  elapsed time 09:01:12 (Msieve 1.42 - dependency 3)

Version: 
Total time: 32.85 hours.
Scaled time: 27.66 units (timescale=0.842).
Factorization parameters were as follows:
name: KA_5_9_199
n: 15159978398253593344825911164591246862926799264607272003481374277905250397310855546664187525785667901178698609930590639490945265521886299849320035876678068475100468972565852953
m: 2000000000000000000000000000000000000000
deg: 5
c5: 1875
c0: -1
skew: 0.22
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 15953221)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4503321 hash collisions in 34033939 relations
Msieve: matrix is 1808213 x 1808438 (480.4 MB)

Total sieving time: 32.85 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,199,5,0,0,0,0,0,0,0,0,15000000,15000000,28,28,56,56,2.5,2.5,100000
total time: 32.85 hours.
 --------- CPU info (if available) ----------

14471999552352109846644538223591143667878744065174688576016532966656602275377978418008371574165050467926658926092586098104126813443149406576502555775622944748431073041530048679392534249030130609<194>

25979916021846896782074164160782347068653<41>
557045663280142658585240275107499022021807235782016518250289379725592283375531987960885667753813815423522122262391664420235789546060985371239279918964053<153>

Factor=25979916021846896782074164160782347068653  Method=ECM  B1=11000000  Sigma=2062803781

ECMNET/GMP-ECM 6.2.3

9574423092078393561929901792928634240854210137387559658903151108460024373879473598265261854241143967077496061741672249655179859831940663911606923<145>

6857244838653541307367446307640270837266142611617471<52>
1396249268818347388484412470486410372451859094204630565646796021457576761596952236490215893813<94>

Number: 59999_202
N=9574423092078393561929901792928634240854210137387559658903151108460024373879473598265261854241143967077496061741672249655179859831940663911606923
  ( 145 digits)
SNFS difficulty: 203 digits.
Divisors found:
 r1=6857244838653541307367446307640270837266142611617471
 r2=1396249268818347388484412470486410372451859094204630565646796021457576761596952236490215893813
Version: 
Total time: 246.23 hours.
Scaled time: 1292.70 units (timescale=5.250).
Factorization parameters were as follows:
n: 9574423092078393561929901792928634240854210137387559658903151108460024373879473598265261854241143967077496061741672249655179859831940663911606923
m: 20000000000000000000000000000000000000000
deg: 5
c5: 75
c0: -4
skew: 0.56
# Murphy_E = 1.522e-11
type: snfs
lss: 1
rlim: 18000000
alim: 18000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18000000/18000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [9000000, 17700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 38389606
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3389545 x 3389790
Total sieving time: 215.01 hours.
Total relation processing time: 8.94 hours.
Matrix solve time: 21.75 hours.
Time per square root: 0.53 hours.
Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,18000000,18000000,29,29,56,56,2.6,2.6,100000
total time: 246.23 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49367580k/51380224k available (5540k kernel code, 1086464k absent, 926180k reserved, 6889k data, 1348k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.92 BogoMIPS (lpj=3399964)
Total of 12 processors activated (81599.13 BogoMIPS).

GGNFS / Msieve v1.39

Core i7-4930K

4906170698734157868447223117307356703029003755997028281777129320346751417057089613016290887478691240683552201403350640411656743271825779524656510328501854440281528053<166>

38827036331971058483068797055642994541603213026093291655975275940091<68>
126359649415072819428606764246382440285778262086748543054001994784433642051818238643207513788005583<99>

Number: 59999_204
N=4906170698734157868447223117307356703029003755997028281777129320346751417057089613016290887478691240683552201403350640411656743271825779524656510328501854440281528053
  ( 166 digits)
SNFS difficulty: 205 digits.
Divisors found:
 r1=38827036331971058483068797055642994541603213026093291655975275940091
 r2=126359649415072819428606764246382440285778262086748543054001994784433642051818238643207513788005583
Version: 
Total time: 283.66 hours.
Scaled time: 1470.51 units (timescale=5.184).
Factorization parameters were as follows:
n: 4906170698734157868447223117307356703029003755997028281777129320346751417057089613016290887478691240683552201403350640411656743271825779524656510328501854440281528053
m: 100000000000000000000000000000000000000000
deg: 5
c5: 3
c0: -5
skew: 1.11
# Murphy_E = 1.244e-11
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [10000000, 19800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 39049109
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3567338 x 3567586
Total sieving time: 248.39 hours.
Total relation processing time: 10.16 hours.
Matrix solve time: 24.67 hours.
Time per square root: 0.44 hours.
Prototype def-par.txt line would be:
snfs,205,5,0,0,0,0,0,0,0,0,20000000,20000000,29,29,56,56,2.6,2.6,100000
total time: 283.66 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49367580k/51380224k available (5540k kernel code, 1086464k absent, 926180k reserved, 6889k data, 1348k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.92 BogoMIPS (lpj=3399964)
Total of 12 processors activated (81599.13 BogoMIPS).

GGNFS / Msieve v1.39

Core i7-4930K

133882873264960607602692535945969159586375503737856447967047187046990295025303378352149149642109798180047601999724801049562099427326139224903657219558562151180088610176810953<174>

20357165301236674225226860420466032151<38>
6576695295431303396827155051737952392077868066586721437221422024529982619116579785029374901370573411254164625224795256265405312321289503<136>

Factor=20357165301236674225226860420466032151  Method=ECM  B1=11000000  Sigma=2805086245

634604384047246552275308498999017150671103492262161213259462667306489151594596781816607982894672440200424814230717486635334568972810677751550707954882454842850608165832436992997<177>

33439790985414426956681099553042701064884326736975946328486315720824817532777<77>
18977522446956818363685981371711308645196440259906960638509851000714861373709971370177964383606936861<101>

Number: 59999_207
N=634604384047246552275308498999017150671103492262161213259462667306489151594596781816607982894672440200424814230717486635334568972810677751550707954882454842850608165832436992997
  ( 177 digits)
SNFS difficulty: 208 digits.
Divisors found:
 r1=33439790985414426956681099553042701064884326736975946328486315720824817532777
 r2=18977522446956818363685981371711308645196440259906960638509851000714861373709971370177964383606936861
Version: 
Total time: 358.88 hours.
Scaled time: 1879.10 units (timescale=5.236).
Factorization parameters were as follows:
n: 634604384047246552275308498999017150671103492262161213259462667306489151594596781816607982894672440200424814230717486635334568972810677751550707954882454842850608165832436992997
m: 200000000000000000000000000000000000000000
deg: 5
c5: 75
c0: -4
skew: 0.56
# Murphy_E = 9.368e-12
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [10000000, 22600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 40329320
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3694736 x 3694983
Total sieving time: 317.58 hours.
Total relation processing time: 13.63 hours.
Matrix solve time: 26.47 hours.
Time per square root: 1.20 hours.
Prototype def-par.txt line would be:
snfs,208,5,0,0,0,0,0,0,0,0,20000000,20000000,29,29,56,56,2.6,2.6,100000
total time: 358.88 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49367540k/51380224k available (5540k kernel code, 1086464k absent, 926220k reserved, 6890k data, 1348k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.88 BogoMIPS (lpj=3399941)
Total of 12 processors activated (81598.58 BogoMIPS).

GGNFS / Msieve v1.39

Core i7-4930K

934791682681997831731552372635376995953060170173812048155219695994245577833871327940984484345916451274671000694680083101087833433059327657460775445598855219871092268091637222979224533<183>

8879071197815324502399503382698892512006260905240555784439986328129103441853650264457<85>
105280345416308996682161912741316471612862703931550928501142427831609650158912582580766317706361069<99>

Number: 59999_208
N=934791682681997831731552372635376995953060170173812048155219695994245577833871327940984484345916451274671000694680083101087833433059327657460775445598855219871092268091637222979224533
  ( 183 digits)
SNFS difficulty: 209 digits.
Divisors found:
 r1=8879071197815324502399503382698892512006260905240555784439986328129103441853650264457
 r2=105280345416308996682161912741316471612862703931550928501142427831609650158912582580766317706361069
Version: 
Total time: 431.43 hours.
Scaled time: 2260.27 units (timescale=5.239).
Factorization parameters were as follows:
n: 934791682681997831731552372635376995953060170173812048155219695994245577833871327940984484345916451274671000694680083101087833433059327657460775445598855219871092268091637222979224533
m: 200000000000000000000000000000000000000000
deg: 5
c5: 375
c0: -2
skew: 0.35
# Murphy_E = 7.257e-12
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved rational special-q in [10000000, 25000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 43516731
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 4106072 x 4106320
Total sieving time: 379.50 hours.
Total relation processing time: 17.41 hours.
Matrix solve time: 33.80 hours.
Time per square root: 0.71 hours.
Prototype def-par.txt line would be:
snfs,209,5,0,0,0,0,0,0,0,0,20000000,20000000,29,29,57,57,2.6,2.6,100000
total time: 431.43 hours.
 --------- CPU info (if available) ----------

GGNFS / Msieve v1.39

Core i7-4930K

599999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<210>

3730721189936412457667608016641977052431628979<46>
5401215756031101285580828381790314639987119424431841404011<58>
29776039411710570322573077770635483769624110219066115495318113771095002971574699039484723314844893404830671<107>

Number: n
N=599999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
  ( 210 digits)
SNFS difficulty: 209 digits.
Divisors found:

Tue May  4 03:36:44 2010  prp46 factor: 3730721189936412457667608016641977052431628979
Tue May  4 03:36:44 2010  prp58 factor: 5401215756031101285580828381790314639987119424431841404011
Tue May  4 03:36:44 2010  prp107 factor: 29776039411710570322573077770635483769624110219066115495318113771095002971574699039484723314844893404830671
Tue May  4 03:36:44 2010  elapsed time 14:11:32 (Msieve 1.42 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.662).
Factorization parameters were as follows:
name: KA_5_9_209
n: 599999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
m: 200000000000000000000000000000000000000000
deg: 5
c5: 1875
c0: -1
skew: 0.22
type: snfs
lss: 1
rlim: 22000000
alim: 22000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 22000000/22000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 28700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7690962 hash collisions in 54278533 relations
Msieve: matrix is 3058387 x 3058613 (865.2 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,209,5,0,0,0,0,0,0,0,0,22000000,22000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6060216k/7077888k available (3972k kernel code, 787972k absent, 229700k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.79 BogoMIPS (lpj=2798398)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797551)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44762.55 BogoMIPS).

26293991936738131786504581315138426577376070649593091302616627610511445755025090111353483897812897069564002919775392573298380486079468485038807232455536317886570524775265158201782894387628077753039<197>

17694558758472465160786084328071531751813395920671<50>

1485993083842687354635409481877355828637659048909915051122817662104010471369676040912793023890943764192827987163771427927261232929472536104866877009<148>

GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]
Input number is 26293991936738131786504581315138426577376070649593091302616627610511445755025090111353483897812897069564002919775392573298380486079468485038807232455536317886570524775265158201782894387628077753039 (197 digits)
[Thu Oct 06 15:20:11 2011]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=449455868
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35       40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+007        3.6e+008
Step 1 took 409238ms
Using 24 small primes for NTT
Estimated memory usage: 721M
Initializing tables of differences for F took 281ms
Computing roots of F took 13322ms
Building F from its roots took 10015ms
Computing 1/F took 3884ms
Initializing table of differences for G took 219ms
Computing roots of G took 11372ms
Building G from its roots took 9469ms
Computing roots of G took 11279ms
Building G from its roots took 9563ms
Computing G * H took 2231ms
Reducing  G * H mod F took 2106ms
Computing roots of G took 11201ms
Building G from its roots took 9422ms
Computing G * H took 2246ms
Reducing  G * H mod F took 2122ms
Computing roots of G took 11263ms
Building G from its roots took 9532ms
Computing G * H took 2247ms
Reducing  G * H mod F took 2090ms
Computing polyeval(F,G) took 19562ms
Computing product of all F(g_i) took 78ms
Step 2 took 144222ms
********** Factor found in step 2: 17694558758472465160786084328071531751813395920671
Found probable prime factor of 50 digits: 17694558758472465160786084328071531751813395920671
Composite cofactor 1485993083842687354635409481877355828637659048909915051122817662104010471369676040912793023890943764192827987163771427927261232929472536104866877009 has 148 digits

GMP-ECM

1485993083842687354635409481877355828637659048909915051122817662104010471369676040912793023890943764192827987163771427927261232929472536104866877009<148>

27465531531312048384938130523453002899408056612897<50>
54103925938902096535848864346422448534169928893420289079707154337891971498960737266494598784258097<98>

GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 1485993083842687354635409481877355828637659048909915051122817662104010471369676040912793023890943764192827987163771427927261232929472536104866877009 (148 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3962005472
Step 1 took 25273ms
Step 2 took 9033ms
********** Factor found in step 2: 27465531531312048384938130523453002899408056612897
Found probable prime factor of 50 digits: 27465531531312048384938130523453002899408056612897
Probable prime cofactor 54103925938902096535848864346422448534169928893420289079707154337891971498960737266494598784258097 has 98 digits

Core i7-4930K

12813632541009679828170638435363116066418109293696585457501506685138856986661036906653284643167488441167923005884551054690707033089417424171442155789<149>

878833892809803833923016736989572122829153738969<48>
14580266698684083016630157180770980972183840538912535148372441369527988245282658184438162517147709781<101>

Sat Jan 27 18:42:01 2024  Msieve v. 1.54 (SVN 1018)
Sat Jan 27 18:42:01 2024  random seeds: 76a041c8 9284cfbb
Sat Jan 27 18:42:01 2024  factoring 12813632541009679828170638435363116066418109293696585457501506685138856986661036906653284643167488441167923005884551054690707033089417424171442155789 (149 digits)
Sat Jan 27 18:42:02 2024  searching for 15-digit factors
Sat Jan 27 18:42:02 2024  commencing number field sieve (149-digit input)
Sat Jan 27 18:42:02 2024  R0: -43251441999854976314183948438
Sat Jan 27 18:42:02 2024  R1: 46385476070937553
Sat Jan 27 18:42:02 2024  A0: 2022294274129543702169847741662061
Sat Jan 27 18:42:02 2024  A1: -98154430507997465027037453528
Sat Jan 27 18:42:02 2024  A2: -230012741869003832979348
Sat Jan 27 18:42:02 2024  A3: 13214005151359294432
Sat Jan 27 18:42:02 2024  A4: -1627818497749
Sat Jan 27 18:42:02 2024  A5: 84660
Sat Jan 27 18:42:02 2024  skew 508962.49, size 1.259e-014, alpha -5.932, combined = 4.580e-012 rroots = 3
Sat Jan 27 18:42:02 2024  
Sat Jan 27 18:42:02 2024  commencing square root phase
Sat Jan 27 18:42:02 2024  reading relations for dependency 1
Sat Jan 27 18:42:03 2024  read 2185450 cycles
Sat Jan 27 18:42:05 2024  cycles contain 7218406 unique relations
Sat Jan 27 18:42:40 2024  read 7218406 relations
Sat Jan 27 18:43:04 2024  multiplying 7218406 relations
Sat Jan 27 18:47:13 2024  multiply complete, coefficients have about 384.55 million bits
Sat Jan 27 18:47:14 2024  initial square root is modulo 7945237
Sat Jan 27 18:52:01 2024  sqrtTime: 599
Sat Jan 27 18:52:01 2024  p48 factor: 878833892809803833923016736989572122829153738969
Sat Jan 27 18:52:01 2024  p101 factor: 14580266698684083016630157180770980972183840538912535148372441369527988245282658184438162517147709781
Sat Jan 27 18:52:01 2024  elapsed time 00:10:00

19049658146878586868573463655706087748008639593567996983702683436326036374980079110148924708543251625058774170370125391814291734004906856750924938421<149>

282483875765482555193956473799179144460465924805428013424053<60>
67436267274573816585070958097375566864626044615397226872722283112803904995413351966425857<89>

prp60 factor: 282483875765482555193956473799179144460465924805428013424053
prp89 factor: 67436267274573816585070958097375566864626044615397226872722283112803904995413351966425857

ggnfs-lasieve4I14e on the RSALS grid + msieve

2030065736047201932683409606651158273316871217356371504163065652422538278989243205465630534751165286688841236452636844427201541719342705102284383810333642190418236714120202532755043887334708931493252877683<205>

22157457139232838815701102659238904908662617<44>

91619978018718136332393616629267035761587257486443298446159364930331971928422491947865635292132367533272660554091383169684018646098263691225578437898094451305899<161>

Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=1609517965
Step 1 took 1055192ms
Step 2 took 264597ms
********** Factor found in step 2: 22157457139232838815701102659238904908662617
Found probable prime factor of 44 digits: 22157457139232838815701102659238904908662617
Composite cofactor 91619978018718136332393616629267035761587257486443298446159364930331971928422491947865635292132367533272660554091383169684018646098263691225578437898094451305899 has 161 digits

2005322661500483334460394117388820680693114208880266701816231747501961246786605518521461254034289199311134941879599046433663666277003518196499462672680584302798125704976232343989678333533617533<193>

634255818314899730180735344081899371851349<42>

3161693757620157649498599036641717745858492499152403538302789364862240339299435677982175944491101877266274228841047740864860305313029711673402874145417<151>

Factor=634255818314899730180735344081899371851349  Method=ECM  B1=11000000  Sigma=723172808

ECMNET/GMP-ECM 6.2.3

3161693757620157649498599036641717745858492499152403538302789364862240339299435677982175944491101877266274228841047740864860305313029711673402874145417<151>

24346044022872895626000971611806680259525862141587365727081400404174359<71>
129864784383441268355673141997261254693360686748906392594452910668977047675271263<81>

p71 factor: 24346044022872895626000971611806680259525862141587365727081400404174359
p81 factor: 129864784383441268355673141997261254693360686748906392594452910668977047675271263

ggnfs-lasieve4I14e on the NFS@Home grid + msieve

100081232600460707274070787455818305858254950267967500287733543726324533412953513935477629342482982020406563327233938213183033562241352564498184359638573308668869565797572362901221491443888622932280033960898262423<213>

11304061104983935987790740185102037368860179019921467124564350834048506432073395536295502413646921<98>
8853564366910146054111965956641927405840817926036297662985845982271364889370463684379291107465197654910509371978463<115>

prp98 factor: 11304061104983935987790740185102037368860179019921467124564350834048506432073395536295502413646921
prp115 factor: 8853564366910146054111965956641927405840817926036297662985845982271364889370463684379291107465197654910509371978463

ggnfs-lasieve4I14e on the RSALS grid 

6247201774205303874306300302989286048957237903855564694980373374426038336994887706548108659662859344252053767583269993648678196224607727788594691960892516893474797746842560103287069333527690721864165009422862676093<214>

76268692740756720554081999294007804083732965834638619761685000781626671196747<77>
81910434671275061437440282430584181127082928798515060309990291541627580588452556118977559628100780673046202639394178396564250666743845719<137>

prp77 factor: 76268692740756720554081999294007804083732965834638619761685000781626671196747
prp137 factor: 81910434671275061437440282430584181127082928798515060309990291541627580588452556118977559628100780673046202639394178396564250666743845719

ggnfs-lasieve4I14e on the RSALS grid + msieve SVN r719

8262867055560690241171971385621525864442528949328962941449255255498437163399087934403616232317897712270624363800590503712171638319560004639855075415787010734401075768560423545296487276577052677247<196>

303410514787643917312242223062701556575627650582655586429924794141668347908336568969911<87>
27233291704949135946484841061567019985172194510283718269845499016041701903396453299480135046848560777926573177<110>

Number: 59999_219
N = 8262867055560690241171971385621525864442528949328962941449255255498437163399087934403616232317897712270624363800590503712171638319560004639855075415787010734401075768560423545296487276577052677247 (196 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=303410514787643917312242223062701556575627650582655586429924794141668347908336568969911 (pp87)
r2=27233291704949135946484841061567019985172194510283718269845499016041701903396453299480135046848560777926573177 (pp110)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 58.14 hours.
Factorization parameters were as follows:
n: 8262867055560690241171971385621525864442528949328962941449255255498437163399087934403616232317897712270624363800590503712171638319560004639855075415787010734401075768560423545296487276577052677247
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 3
c0: -5
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Relations: 6249190 relations
Pruned matrix : 5745473 x 5745698
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 31.04 hours.
Total relation processing time: 0.44 hours.
Matrix solve time: 26.36 hours.
time per square root: 0.31 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 58.14 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

349525394455152686749101927492623009278441698892369350276913530893938964485976231177063174594597947755657107890360318301978823092817325691458736682810029564769912497047543847583288915515630789<192>

93856970456654111182280277217906620490919201270726030817313<59>
3724021697638042953982798668557406826997834646355391837556412955895917791132880744307036434483078665879615933634866217998494329276453<133>

Number: 59999_220
N = 349525394455152686749101927492623009278441698892369350276913530893938964485976231177063174594597947755657107890360318301978823092817325691458736682810029564769912497047543847583288915515630789 (192 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=93856970456654111182280277217906620490919201270726030817313 (pp59)
r2=3724021697638042953982798668557406826997834646355391837556412955895917791132880744307036434483078665879615933634866217998494329276453 (pp133)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 82.85 hours.
Factorization parameters were as follows:
n: 349525394455152686749101927492623009278441698892369350276913530893938964485976231177063174594597947755657107890360318301978823092817325691458736682810029564769912497047543847583288915515630789
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 6
c0: -1
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 67108864
lpbr: 29
lpba: 26
mfbr: 58
mfba: 52
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 4
Number of threads per core: 1
Factor base limits: 536870912/67108864
Large primes per side: 3
Large prime bits: 29/26
Total raw relations: 28683872
Relations: 7443082 relations
Total pre-computation time approximately 800 CPU-days.
Pre-computation saved approximately 16 G rational relations.
Total batch smoothness checking time: 52.91 hours.
Total relation processing time: 0.28 hours.
Pruned matrix : 6460401 x 6460626
Matrix solve time: 29.51 hours.
time per square root: 0.15 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,67108864,29,26,58,52,2.8,2.8,100000
total time: 82.85 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-8-6.2.9200
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

25269380478833593072031582184849054540462957889871070744449051456339363192380407246181460031049916912512354125286119023191117869928604674109244115508364389<155>

1506667300339599547236805489<28>
16771705653356868783017072553569575449293552778979232336757264567960928508763220984876835945077678558651825035433801142673090101<128>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1244649833
Step 1 took 18720ms
Step 2 took 11607ms
********** Factor found in step 2: 1506667300339599547236805489
Found probable prime factor of 28 digits: 1506667300339599547236805489
Probable prime cofactor
1677170565335686878301707255356957544929355277897923233675726456796092850876
3220984876835945077678558651825035433801142673090101 has 128 digits

GMP-ECM 6.2.3

22205640867466626981766669118477200953872521496244768806459034022303131818094593309161992973278219848604013558411959006965648123106886589940729905265767210457720481419043358233186493495513186601788811579655420697<212>

28720474547729331919119988718167<32>
773164135243100504582170061538429980288959908976614368202225344771893725788639277023309615504644823756563476797199726170341846606777510510566234170535493454943651860282141884952591<180>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=974660662
Step 1 took 3944ms
Step 2 took 2360ms
********** Factor found in step 2: 28720474547729331919119988718167
Found probable prime factor of 32 digits: 28720474547729331919119988718167
Probable prime cofactor has 180 digits

13953488372093023255813953488372093023255813953488372093023255813953488372093023255813953488372093023255813953488372093023255813953488372093023255813953488372093023255813953488372093023255813953488372093023255813953488372093<224>

105116020583942511342885176898761927907189004109190530401<57>
1426059807243826084017245666438603503793360364869025030507580931023978750559<76>
93084237127002259679956520230759468590779235272795409083718349071592458482718710155281572227<92>

prp57 = 105116020583942511342885176898761927907189004109190530401
prp76 = 1426059807243826084017245666438603503793360364869025030507580931023978750559
prp92 = 93084237127002259679956520230759468590779235272795409083718349071592458482718710155281572227

ggnfs-lasieve4I14e on the RSALS grid, msieve

599999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<228>

667389257879545346093305824371593430854894776677<48>

899025558047402393833363811982758746577307238929235166211854640461366197528421527372565242103617203479670369463403614777641805760709297791115366281558757679322240244054659020138387<180>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1303631320
Step 1 took 251815ms
Step 2 took 79645ms
********** Factor found in step 2: 667389257879545346093305824371593430854894776677
Found probable prime factor of 48 digits: 667389257879545346093305824371593430854894776677
Composite cofactor  has 180 digits

GMP-ECM 6.2.3

12972067226616707672204621498259677208757990799674391500925136091815599631013697061928584465782407346668828332739816333396998191910403693672878301029002459358936778761803637603693201181854950664909221<200>

15077182624378481369867774446205515556843601445980214065019895212258616432277149498393209717967137405313941392703815201351553015541459228908316786037289<152>

29861045683925387221390283440982131577<38>
5345948074757007387461416445652669373483<40>
94447495760368427292942695952490869348684821314320885723641372689233621779<74>

Factor=29861045683925387221390283440982131577  Method=ECM  B1=11000000  Sigma=570215541

ggnfs on c114:
N=504911408125762211434945748316460951797626396582987349026553443283302341827162882443524002803200970440918913886257
  ( 114 digits)
Divisors found:
 r1=5345948074757007387461416445652669373483 (pp40)
 r2=94447495760368427292942695952490869348684821314320885723641372689233621779 (pp74)
Version: Msieve-1.40
Total time: 19.36 hours.
Scaled time: 37.09 units (timescale=1.916).
Factorization parameters were as follows:
name: 114g
n: 504911408125762211434945748316460951797626396582987349026553443283302341827162882443524002803200970440918913886257
skew: 42757.82
# norm 1.22e+015
c5: 14940
c4: 488653189
c3: -81101099127912
c2: -1233563727568355264
c1: 72479787486252938493432
c0: -113265966844868926901368640
# alpha -5.30
Y1: 616786367417
Y0: -8049570335330782263099
# Murphy_E 6.57e-010
# M 257571444873601668245410613566728096998542897714891014906843751879855325296305201897384506187717779391625979780893
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1750000, 2750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 509185 x 509411
Total sieving time: 18.84 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.36 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
gnfs,113,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 19.36 hours.
 --------- CPU info (if available) ----------

ECMNET/GMP-ECM 6.2.3, GGNFS/msieve

2041393441572008655399056821802008516420422204982036713345861095421787726444524738777012106193540009162186504479541436760958507185463009211541025548364466915594934411383029760249397798622447<190>

4763906551756375387845339289880870905783058516179<49>
428512486421334161322752090545508795731141580694901015388320578222316781631207570810375491229392262515493659777980798033839340844657585058293<141>

GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]
Input number is 2041393441572008655399056821802008516420422204982036713345861095421787726444524738777012106193540009162186504479541436760958507185463009211541025548364466915594934411383029760249397798622447 (190 digits)
[Thu Oct 13 08:31:52 2011]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=3540827403
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35     40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+007        3.6e+008
Step 1 took 369937ms
Using 23 small primes for NTT
Estimated memory usage: 671M
Initializing tables of differences for F took 282ms
Computing roots of F took 13093ms
Building F from its roots took 9281ms
Computing 1/F took 3781ms
Initializing table of differences for G took 235ms
Computing roots of G took 10906ms
Building G from its roots took 9094ms
Computing roots of G took 10954ms
Building G from its roots took 8984ms
Computing G * H took 2063ms
Reducing  G * H mod F took 1937ms
Computing roots of G took 11000ms
Building G from its roots took 9016ms
Computing G * H took 2047ms
Reducing  G * H mod F took 1937ms
Computing roots of G took 10906ms
Building G from its roots took 9016ms
Computing G * H took 2141ms
Reducing  G * H mod F took 2000ms
Computing polyeval(F,G) took 18860ms
Computing product of all F(g_i) took 78ms
Step 2 took 138234ms
********** Factor found in step 2: 4763906551756375387845339289880870905783058516179
Found probable prime factor of 49 digits: 4763906551756375387845339289880870905783058516179
Probable prime cofactor 428512486421334161322752090545508795731141580694901015388320578222316781631207570810375491229392262515493659777980798033839340844657585058293 has 141 digits

GMP-ECM

59999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<233>

1660523934390471375293122148061759777454186203134796869<55>
36133173847942278388074413688383462522310986502255896424710199596414174404276753979932200556216217786367213858025866834788809229113618100290433245339952571776861397288839701606771<179>

GMP-ECM 6.2.3 [powered by GMP 4.2.1_MPIR_1.1.1] [ECM]
Input number is 59999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 (233 digits)
[Tue Oct 12 01:54:29 2010]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=2133991575
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
20  25      30      35      40      45      50      55      60      65
2       4       10      34      135     613     3133    17769   111196  751771
Step 1 took 803764ms
Using 28 small primes for NTT
Estimated memory usage: 647M
Initializing tables of differences for F took 499ms
Computing roots of F took 31575ms
Building F from its roots took 20249ms
Computing 1/F took 9235ms
Initializing table of differences for G took 436ms
Computing roots of G took 26801ms
Building G from its roots took 17894ms
Computing roots of G took 26786ms
Building G from its roots took 17924ms
Computing G * H took 4976ms
Reducing  G * H mod F took 4883ms
Computing roots of G took 26707ms
Building G from its roots took 17878ms
Computing G * H took 5039ms
Reducing  G * H mod F took 4867ms
Computing roots of G took 26489ms
Building G from its roots took 17800ms
Computing G * H took 4992ms
Reducing  G * H mod F took 4898ms
Computing polyeval(F,G) took 35412ms
Computing product of all F(g_i) took 156ms
Step 2 took 306464ms
********** Factor found in step 2: 1660523934390471375293122148061759777454186203134796869
Found probable prime factor of 55 digits: 1660523934390471375293122148061759777454186203134796869
Probable prime cofactor 36133173847942278388074413688383462522310986502255896424710199596414174404276753979932200556216217786367213858025866834788809229113618100290433245339952571776861397288839701606771 has 179 digits

GMP-ECM

23210850726106368360814136605778424455371861344687025747345707151059211027538274474576212264185006062883937368431671283461918088210361439050546735779318079213258211791094033363911411973382396990985398539<203>

130320039715713057322139942614341784752973412509711271<54>

178106535086543333561857043238244429523293563533974204437757277043442519297514682223523876879842781492589494369851281377457166318020334365560714970109<150>

GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]
Input number is 23210850726106368360814136605778424455371861344687025747345707151059211027538274474576212264185006062883937368431671283461918088210361439050546735779318079213258211791094033363911411973382396990985398539 (203 digits)
[Thu Oct 13 15:45:53 2011]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=2846170231
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35        40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+007        3.6e+008
Step 1 took 420094ms
Using 25 small primes for NTT
Estimated memory usage: 728M
Initializing tables of differences for F took 266ms
Computing roots of F took 13656ms
Building F from its roots took 10219ms
Computing 1/F took 4203ms
Initializing table of differences for G took 250ms
Computing roots of G took 11484ms
Building G from its roots took 9860ms
Computing roots of G took 11500ms
Building G from its roots took 10063ms
Computing G * H took 2281ms
Reducing  G * H mod F took 2344ms
Computing roots of G took 11703ms
Building G from its roots took 9953ms
Computing G * H took 2328ms
Reducing  G * H mod F took 2375ms
Computing roots of G took 11704ms
Building G from its roots took 10312ms
Computing G * H took 2437ms
Reducing  G * H mod F took 2344ms
Computing polyeval(F,G) took 20359ms
Computing product of all F(g_i) took 94ms
Step 2 took 150359ms
********** Factor found in step 2: 130320039715713057322139942614341784752973412509711271
Found probable prime factor of 54 digits: 130320039715713057322139942614341784752973412509711271
Composite cofactor 178106535086543333561857043238244429523293563533974204437757277043442519297514682223523876879842781492589494369851281377457166318020334365560714970109 has 150 digits

GMP-ECM

178106535086543333561857043238244429523293563533974204437757277043442519297514682223523876879842781492589494369851281377457166318020334365560714970109<150>

123102208693232808861619498352748243629619506142659<51>
1446818355066071449887043465579765490290173561685029536270314654955005286705881184495350104264735551<100>

GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]
Input number is 178106535086543333561857043238244429523293563533974204437757277043442519297514682223523876879842781492589494369851281377457166318020334365560714970109 (150 digits)
[Tue Feb 07 16:33:23 2012]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=1429579247
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35     40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+007        3.6e+008
Step 1 took 436693ms
Using 19 small primes for NTT
Estimated memory usage: 558M
Initializing tables of differences for F took 280ms
Computing roots of F took 14649ms
Building F from its roots took 8954ms
Computing 1/F took 4056ms
Initializing table of differences for G took 249ms
Computing roots of G took 12402ms
Building G from its roots took 8518ms
Computing roots of G took 12386ms
Building G from its roots took 8705ms
Computing G * H took 2106ms
Reducing  G * H mod F took 2247ms
Computing roots of G took 12339ms
Building G from its roots took 8643ms
Computing G * H took 2075ms
Reducing  G * H mod F took 2215ms
Computing roots of G took 12355ms
Building G from its roots took 8736ms
Computing G * H took 2121ms
Reducing  G * H mod F took 2247ms
Computing polyeval(F,G) took 19593ms
Computing product of all F(g_i) took 63ms
Step 2 took 145674ms
********** Factor found in step 2: 123102208693232808861619498352748243629619506142659
Found probable prime factor of 51 digits: 123102208693232808861619498352748243629619506142659
Probable prime cofactor 1446818355066071449887043465579765490290173561685029536270314654955005286705881184495350104264735551 has 100 digits

GMP-ECM

3425410809598748279109595530991186213158777449678565338988552825273372645876738070416076536724890925363025539715218775467831391145980855083252199594210613434122668881875091831416469913183914829736878320430883690107379891<220>

139270405927002088329781933928934917053587476300573<51>
24595396177664340526017825416757880287384892319756585409680296690929717151552305427825202961831414062264730719705257070642304820054374859117161130669576503765969861335567<170>

GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]
Input number is 3425410809598748279109595530991186213158777449678565338988552825273372645876738070416076536724890925363025539715218775467831391145980855083252199594210613434122668881875091831416469913183914829736878320430883690107379891 (220 digits)
[Wed Oct 12 11:59:57 2011]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=960106082
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35        40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+007        3.6e+008
Step 1 took 442840ms
Using 26 small primes for NTT
Estimated memory usage: 777M
Initializing tables of differences for F took 281ms
Computing roots of F took 13962ms
Building F from its roots took 10281ms
Computing 1/F took 4040ms
Initializing table of differences for G took 234ms
Computing roots of G took 11747ms
Building G from its roots took 10233ms
Computing roots of G took 11623ms
Building G from its roots took 10140ms
Computing G * H took 2309ms
Reducing  G * H mod F took 2215ms
Computing roots of G took 11654ms
Building G from its roots took 10109ms
Computing G * H took 2325ms
Reducing  G * H mod F took 2215ms
Computing roots of G took 11653ms
Building G from its roots took 10109ms
Computing G * H took 2372ms
Reducing  G * H mod F took 2262ms
Computing polyeval(F,G) took 21419ms
Computing product of all F(g_i) took 78ms
Step 2 took 151898ms
********** Factor found in step 2: 139270405927002088329781933928934917053587476300573
Found probable prime factor of 51 digits: 139270405927002088329781933928934917053587476300573
Probable prime cofactor 24595396177664340526017825416757880287384892319756585409680296690929717151552305427825202961831414062264730719705257070642304820054374859117161130669576503765969861335567 has 170 digits

GMP-ECM

12383684630179569337394088694249350271748902897997080703613870582532730339815448808148826757455083549756097807945663686461901446868894897234953688182035635030971018151288504007710008042112835702163200129287921<209>

873037896267064929096512309143355779112249482729860664867238261368774675046949682971297734602460791222876242289473611840956999477638898371155373481806070421619875528699995344782511644325467693993432867471<204>

274292314654310390469897934973<30>

3182874071289060446275769186989499468631882299301292460685976720301412206648041536444481933663306160557207878587114801845479707202364413102794785469007314260366017967489458427<175>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=1363018546
Step 1 took 7841ms
********** Factor found in step 1: 274292314654310390469897934973
Found probable prime factor of 30 digits: 274292314654310390469897934973
Composite cofactor has 175 digits

3182874071289060446275769186989499468631882299301292460685976720301412206648041536444481933663306160557207878587114801845479707202364413102794785469007314260366017967489458427<175>

809163492890221392896760174836171<33>

3933536422806557086926478116610197154319847861101086183238366296990160439419560368489572554190476359307446568659053120259603547261935063093137<142>

Factor=809163492890221392896760174836171  Method=ECM  B1=11000000  Sigma=2064202222

ECMNET/GMP-ECM 6.2.3

3933536422806557086926478116610197154319847861101086183238366296990160439419560368489572554190476359307446568659053120259603547261935063093137<142>

154324731088430161182712455869046954369335916787<48>
25488697728898600435095123985728524783540211865629688320991651366132041999654666415012469651051<95>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=354338951
Step 1 took 49094ms
Step 2 took 18314ms
********** Factor found in step 2: 154324731088430161182712455869046954369335916787
Found probable prime factor of 48 digits: 154324731088430161182712455869046954369335916787
Probable prime cofactor 25488697728898600435095123985728524783540211865629688320991651366132041999654666415012469651051 has 95 digits

GMP-ECM 6.2.3

10254002719563533312996862165921951474793993202394912915681771518877809288882052095130923006948878848174764392057470876632899675652891404862265823857322318336102677952331308017491392798597181051458584736302882415848697<218>

427458942327439624571134408529107<33>

23988275139905299973996552897391524086107881183168739772465027438626642902215227316952145797567656249686657580050650577286193469984815559146998970515090647036665014029328846174476650371<185>

Factor=427458942327439624571134408529107  Method=ECM  B1=11000000  Sigma=3456964370

ECMNET/GMP-ECM 6.2.3

23988275139905299973996552897391524086107881183168739772465027438626642902215227316952145797567656249686657580050650577286193469984815559146998970515090647036665014029328846174476650371<185>

10731548370912742011309882412374043894391<41>
2235304199431665416154469431018538695247299806298294808705904292663266370887391961952000604386055408372511514363410836227280941322027236146141781<145>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3349828865
Step 1 took 414946ms
Step 2 took 191453ms
********** Factor found in step 2: 10731548370912742011309882412374043894391
Found probable prime factor of 41 digits: 10731548370912742011309882412374043894391
Probable prime cofactor 2235304199431665416154469431018538695247299806298294808705904292663266370887391961952000604386055408372511514363410836227280941322027236146141781 has 145 digits

5294637119872120084083934080237225994870535839523224563440907817086294194431894270929836896400024286200840750115758528276576679145477646502310048741392305271081019342448329181151350728222844418813215546033828873334995884664593<226>

15142875136590353074073723678992748157217373891592193<53>
349645432067155481854938906067805529721754164829914939637398049608979344181029226807594008744880837969670984015535620347160166302152583232144679804473584455589407976871126801<174>

Number: 59999_240
N = 5294637119872120084083934080237225994870535839523224563440907817086294194431894270929836896400024286200840750115758528276576679145477646502310048741392305271081019342448329181151350728222844418813215546033828873334995884664593 (226 digits)
SNFS difficulty: 241 digits.
Divisors found:
r1=15142875136590353074073723678992748157217373891592193 (pp53)
r2=349645432067155481854938906067805529721754164829914939637398049608979344181029226807594008744880837969670984015535620347160166302152583232144679804473584455589407976871126801 (pp174)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 68.61 hours.
Factorization parameters were as follows:
n: 5294637119872120084083934080237225994870535839523224563440907817086294194431894270929836896400024286200840750115758528276576679145477646502310048741392305271081019342448329181151350728222844418813215546033828873334995884664593 
m: 1000000000000000000000000000000000000000000000000000000000000
deg: 4
c4: 6
c0: -1
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: 62578155
Relations: 13601950 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 15.25 hours.
Total relation processing time: 0.57 hours.
Pruned matrix : 10960965 x 10961190
Matrix solve time: 52.32 hours.
time per square root: 0.46 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: 68.61 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 16, speed: 3.79GHz

GGNFS, NFS_factory, Msieve

28044629455784530948203342965956354294014961258682153190662335574547457912230072056744462517231361271510154524137145727222813185665128282878124947611413241345547398722458851512382184646538350266064857542978899163<212>

46637199593132924343934120457586077177042987776474375010580664816739034822523090348004522174712845027094084870827562300492834609554127503425431548445297257714124754386655118301976499681746939<191>

34332264032154467048767143353597<32>

1358407343874964382381053589323727220152517380184179967864913463448511740811007678585827354716994464184075641715030253831346054379118339264860652331690683072087<160>

Factor=34332264032154467048767143353597  Method=ECM  B1=11000000  Sigma=640052616

ECMNET/GMP-ECM 6.2.3

1358407343874964382381053589323727220152517380184179967864913463448511740811007678585827354716994464184075641715030253831346054379118339264860652331690683072087<160>

2300572539179876766754712549144308199797462140774086518332541985279680536837077<79>
590464904166516031137173148336817668227805484019748834270299781130597574256395131<81>

<sieving by the RSALS grid>

<post-processing by Dmitry Domanov>
Thu May 12 19:52:45 2011  Msieve v. 1.48
Thu May 12 19:52:45 2011  random seeds: 4c93c5e6 e82e5518
Thu May 12 19:52:45 2011  factoring 1358407343874964382381053589323727220152517380184179967864913463448511740811007678585827354716994464184075641715030253831346054379118339264860652331690683072087 (160 digits)
Thu May 12 19:52:47 2011  searching for 15-digit factors
Thu May 12 19:52:48 2011  commencing number field sieve (160-digit input)
Thu May 12 19:52:48 2011  R0: -9574388187189046656203972617518
Thu May 12 19:52:48 2011  R1:  463971381715918121
Thu May 12 19:52:48 2011  A0: -79003419465552220367520946141476339403595
Thu May 12 19:52:48 2011  A1:  18596527238087886138837065511913051
Thu May 12 19:52:48 2011  A2:  127976332972055327415097406
Thu May 12 19:52:48 2011  A3: -65144897206393327747
Thu May 12 19:52:48 2011  A4: -385954225623
Thu May 12 19:52:48 2011  A5:  16884
Thu May 12 19:52:48 2011  skew 30283329.64, size 1.732e-15, alpha -7.632, combined = 1.538e-12 rroots = 5
Thu May 12 19:52:48 2011
Thu May 12 19:52:48 2011  commencing relation filtering
Thu May 12 19:52:48 2011  estimated available RAM is 24048.2 MB
Thu May 12 19:52:48 2011  commencing duplicate removal, pass 1
<snip errors reading relations>
Thu May 12 20:22:17 2011  found 25370524 hash collisions in 125503639 relations
Thu May 12 20:23:14 2011  added 122055 free relations
Thu May 12 20:23:14 2011  commencing duplicate removal, pass 2
Thu May 12 20:36:01 2011  found 24690637 duplicates and 100935057 unique relations
Thu May 12 20:36:01 2011  memory use: 660.8 MB
Thu May 12 20:36:01 2011  reading ideals above 71892992
Thu May 12 20:36:01 2011  commencing singleton removal, initial pass
Thu May 12 21:12:28 2011  memory use: 2756.0 MB
Thu May 12 21:12:28 2011  reading all ideals from disk
Thu May 12 21:12:35 2011  memory use: 1701.4 MB
Thu May 12 21:12:42 2011  commencing in-memory singleton removal
Thu May 12 21:12:47 2011  begin with 100935057 relations and 82002275 unique ideals
Thu May 12 21:14:09 2011  reduce to 66378178 relations and 43989904 ideals in 13 passes
Thu May 12 21:14:09 2011  max relations containing the same ideal: 44
Thu May 12 21:14:15 2011  reading ideals above 720000
Thu May 12 21:14:16 2011  commencing singleton removal, initial pass
Thu May 12 21:40:33 2011  memory use: 1378.0 MB
Thu May 12 21:40:33 2011  reading all ideals from disk
Thu May 12 21:40:41 2011  memory use: 2445.9 MB
Thu May 12 21:40:52 2011  keeping 52084368 ideals with weight <= 200, target excess is 351447
Thu May 12 21:41:06 2011  commencing in-memory singleton removal
Thu May 12 21:41:16 2011  begin with 66378178 relations and 52084368 unique ideals
Thu May 12 21:42:24 2011  reduce to 66369908 relations and 52076098 ideals in 7 passes
Thu May 12 21:42:24 2011  max relations containing the same ideal: 200
Thu May 12 21:43:11 2011  removing 9351770 relations and 7351770 ideals in 2000000 cliques
Thu May 12 21:43:16 2011  commencing in-memory singleton removal
Thu May 12 21:43:24 2011  begin with 57018138 relations and 52076098 unique ideals
Thu May 12 21:44:22 2011  reduce to 56318892 relations and 44001923 ideals in 7 passes
Thu May 12 21:44:22 2011  max relations containing the same ideal: 189
Thu May 12 21:45:00 2011  removing 7103955 relations and 5103955 ideals in 2000000 cliques
Thu May 12 21:45:05 2011  commencing in-memory singleton removal
Thu May 12 21:45:12 2011  begin with 49214937 relations and 44001923 unique ideals
Thu May 12 21:46:01 2011  reduce to 48687473 relations and 38353193 ideals in 7 passes
Thu May 12 21:46:01 2011  max relations containing the same ideal: 174
Thu May 12 21:46:36 2011  removing 6460809 relations and 4460809 ideals in 2000000 cliques
Thu May 12 21:46:41 2011  commencing in-memory singleton removal
Thu May 12 21:46:47 2011  begin with 42226664 relations and 38353193 unique ideals
Thu May 12 21:47:28 2011  reduce to 41744986 relations and 33393983 ideals in 7 passes
Thu May 12 21:47:28 2011  max relations containing the same ideal: 162
Thu May 12 21:47:56 2011  removing 6067977 relations and 4067977 ideals in 2000000 cliques
Thu May 12 21:48:00 2011  commencing in-memory singleton removal
Thu May 12 21:48:04 2011  begin with 35677009 relations and 33393983 unique ideals
Thu May 12 21:48:40 2011  reduce to 35150645 relations and 28778265 ideals in 7 passes
Thu May 12 21:48:40 2011  max relations containing the same ideal: 142
Thu May 12 21:49:05 2011  removing 5786479 relations and 3786479 ideals in 2000000 cliques
Thu May 12 21:49:09 2011  commencing in-memory singleton removal
Thu May 12 21:49:13 2011  begin with 29364166 relations and 28778265 unique ideals
Thu May 12 21:49:41 2011  reduce to 28759893 relations and 24358341 ideals in 7 passes
Thu May 12 21:49:41 2011  max relations containing the same ideal: 127
Thu May 12 21:50:03 2011  removing 5644481 relations and 3644481 ideals in 2000000 cliques
Thu May 12 21:50:07 2011  commencing in-memory singleton removal
Thu May 12 21:50:09 2011  begin with 23115412 relations and 24358341 unique ideals
Thu May 12 21:50:32 2011  reduce to 22394366 relations and 19948681 ideals in 8 passes
Thu May 12 21:50:32 2011  max relations containing the same ideal: 107
Thu May 12 21:50:49 2011  removing 5524626 relations and 3524626 ideals in 2000000 cliques
Thu May 12 21:50:52 2011  commencing in-memory singleton removal
Thu May 12 21:50:54 2011  begin with 16869740 relations and 19948681 unique ideals
Thu May 12 21:51:11 2011  reduce to 15945830 relations and 15420999 ideals in 9 passes
Thu May 12 21:51:11 2011  max relations containing the same ideal: 86
Thu May 12 21:51:23 2011  removing 618984 relations and 501832 ideals in 117152 cliques
Thu May 12 21:51:25 2011  commencing in-memory singleton removal
Thu May 12 21:51:26 2011  begin with 15326846 relations and 15420999 unique ideals
Thu May 12 21:51:39 2011  reduce to 15313341 relations and 14905569 ideals in 7 passes
Thu May 12 21:51:39 2011  max relations containing the same ideal: 84
Thu May 12 21:51:45 2011  relations with 0 large ideals: 1144
Thu May 12 21:51:45 2011  relations with 1 large ideals: 4474
Thu May 12 21:51:45 2011  relations with 2 large ideals: 63506
Thu May 12 21:51:45 2011  relations with 3 large ideals: 411671
Thu May 12 21:51:45 2011  relations with 4 large ideals: 1451682
Thu May 12 21:51:45 2011  relations with 5 large ideals: 3087774
Thu May 12 21:51:45 2011  relations with 6 large ideals: 4165630
Thu May 12 21:51:45 2011  relations with 7+ large ideals: 6127460
Thu May 12 21:51:45 2011  commencing 2-way merge
Thu May 12 21:51:59 2011  reduce to 10569838 relation sets and 10162066 unique ideals
Thu May 12 21:51:59 2011  commencing full merge
Thu May 12 21:55:16 2011  memory use: 1192.1 MB
Thu May 12 21:55:18 2011  found 5648206 cycles, need 5592266
Thu May 12 21:55:21 2011  weight of 5592266 cycles is about 391778341 (70.06/cycle)
Thu May 12 21:55:21 2011  distribution of cycle lengths:
Thu May 12 21:55:21 2011  1 relations: 581266
Thu May 12 21:55:21 2011  2 relations: 699868
Thu May 12 21:55:21 2011  3 relations: 752379
Thu May 12 21:55:21 2011  4 relations: 708743
Thu May 12 21:55:21 2011  5 relations: 641407
Thu May 12 21:55:21 2011  6 relations: 541735
Thu May 12 21:55:21 2011  7 relations: 444623
Thu May 12 21:55:21 2011  8 relations: 350868
Thu May 12 21:55:21 2011  9 relations: 267791
Thu May 12 21:55:21 2011  10+ relations: 603586
Thu May 12 21:55:21 2011  heaviest cycle: 18 relations
Thu May 12 21:55:23 2011  commencing cycle optimization
Thu May 12 21:55:34 2011  start with 28854188 relations
Thu May 12 21:56:25 2011  pruned 845403 relations
Thu May 12 21:56:26 2011  memory use: 932.9 MB
Thu May 12 21:56:26 2011  distribution of cycle lengths:
Thu May 12 21:56:26 2011  1 relations: 581266
Thu May 12 21:56:26 2011  2 relations: 716367
Thu May 12 21:56:26 2011  3 relations: 783341
Thu May 12 21:56:26 2011  4 relations: 732543
Thu May 12 21:56:26 2011  5 relations: 662794
Thu May 12 21:56:26 2011  6 relations: 551908
Thu May 12 21:56:26 2011  7 relations: 446053
Thu May 12 21:56:26 2011  8 relations: 344526
Thu May 12 21:56:26 2011  9 relations: 256806
Thu May 12 21:56:26 2011  10+ relations: 516662
Thu May 12 21:56:26 2011  heaviest cycle: 18 relations
Thu May 12 21:56:35 2011  RelProcTime: 7427
Thu May 12 21:56:38 2011
Thu May 12 21:56:38 2011  commencing linear algebra
Thu May 12 21:56:39 2011  read 5592266 cycles
Thu May 12 21:56:49 2011  cycles contain 15110694 unique relations
Thu May 12 22:11:15 2011  read 15110694 relations
Thu May 12 22:11:49 2011  using 20 quadratic characters above 1073739618
Thu May 12 22:13:35 2011  building initial matrix
Thu May 12 22:18:02 2011  memory use: 2147.1 MB
Thu May 12 22:18:06 2011  read 5592266 cycles
Thu May 12 22:18:08 2011  matrix is 5592088 x 5592266 (1692.7 MB) with weight 532255390 (95.18/col)
Thu May 12 22:18:08 2011  sparse part has weight 376626385 (67.35/col)
Thu May 12 22:19:30 2011  filtering completed in 2 passes
Thu May 12 22:19:32 2011  matrix is 5590950 x 5591128 (1692.6 MB) with weight 532214014 (95.19/col)
Thu May 12 22:19:32 2011  sparse part has weight 376616517 (67.36/col)
Thu May 12 22:19:50 2011  matrix starts at (0, 0)
Thu May 12 22:19:51 2011  matrix is 5590950 x 5591128 (1692.6 MB) with weight 532214014 (95.19/col)
Thu May 12 22:19:52 2011  sparse part has weight 376616517 (67.36/col)
Thu May 12 22:19:52 2011  saving the first 48 matrix rows for later
Thu May 12 22:19:54 2011  matrix includes 64 packed rows
Thu May 12 22:19:55 2011  matrix is 5590902 x 5591128 (1630.6 MB) with weight 423273717 (75.70/col)
Thu May 12 22:19:55 2011  sparse part has weight 371546603 (66.45/col)
Thu May 12 22:19:56 2011  using block size 262144 for processor cache size 12288 kB
Thu May 12 22:20:12 2011  commencing Lanczos iteration (8 threads)
Thu May 12 22:20:12 2011  memory use: 2117.3 MB
Thu May 12 22:20:50 2011  linear algebra at 0.0%, ETA 36h52m
Thu May 12 22:21:03 2011  checkpointing every 150000 dimensions
Sat May 14 17:09:13 2011  lanczos halted after 88415 iterations (dim = 5590899)
Sat May 14 17:09:46 2011  recovered 26 nontrivial dependencies
Sat May 14 17:09:46 2011  BLanczosTime: 155588
Sat May 14 17:09:46 2011
Sat May 14 17:09:46 2011  commencing square root phase
Sat May 14 17:09:46 2011  reading relations for dependency 1
Sat May 14 17:09:48 2011  read 2796373 cycles
Sat May 14 17:09:54 2011  cycles contain 7555022 unique relations
Sat May 14 17:25:19 2011  read 7555022 relations
Sat May 14 17:26:28 2011  multiplying 7555022 relations
Sat May 14 17:42:51 2011  multiply complete, coefficients have about 387.46 million bits
Sat May 14 17:42:54 2011  initial square root is modulo 8959163
Sat May 14 18:02:30 2011  sqrtTime: 3164
Sat May 14 18:02:30 2011  prp79 factor: 2300572539179876766754712549144308199797462140774086518332541985279680536837077
Sat May 14 18:02:30 2011  prp81 factor: 590464904166516031137173148336817668227805484019748834270299781130597574256395131
Sat May 14 18:02:30 2011  elapsed time 46:09:45

ggnfs-lasieve4I14e on the RSALS grid + msieve 1.48

132017693930150171793955848122529729999936142298449899965022691584634080866449633907314246328018036651733282471196498147739830742489152869617747716345879052355727919797005330303620640099235240579370423433659941<210>

165443990844793512205981887109728319103093269<45>

797960042284030414600107125740052369105637496691865975939562321086016710069268687788112513414814255026608364305748252741860735963276342697449020589710882701659611089<165>

GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]
Input number is 132017693930150171793955848122529729999936142298449899965022691584634080866449633907314246328018036651733282471196498147739830742489152869617747716345879052355727919797005330303620640099235240579370423433659941 (210 digits)
[Wed Oct 12 05:57:52 2011]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=3202372822
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35 40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+007        3.6e+008
Step 1 took 752533ms
********** Factor found in step 1: 165443990844793512205981887109728319103093269
Found probable prime factor of 45 digits: 165443990844793512205981887109728319103093269
Composite cofactor 797960042284030414600107125740052369105637496691865975939562321086016710069268687788112513414814255026608364305748252741860735963276342697449020589710882701659611089 has 165 digits

GMP-ECM

797960042284030414600107125740052369105637496691865975939562321086016710069268687788112513414814255026608364305748252741860735963276342697449020589710882701659611089<165>

2126194822470901589472330700984239622414403364022147381<55>
375299588659849178097505614884236430757405993428688703747934019242155590794274413384956807081853649808369277869<111>

GMP-ECM 6.2.1 [powered by GMP 4.2.4] [ECM]
Running on john-blacks-imac.local
Input number is 797960042284030414600107125740052369105637496691865975939562321086016710069268687788112513414814255026608364305748252741860735963276342697449020589710882701659611089 (165 digits)
[Tue Feb  7 13:14:59 2012]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=350798261
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
20        25      30      35      40      45      50      55      60      65
2       4       10      34      135     613     3133    17769   111196  751771
Step 1 took 637482ms
Using 21 small primes for NTT
Estimated memory usage: 478M
Initializing tables of differences for F took 426ms
Computing roots of F took 20591ms
Building F from its roots took 14236ms
Computing 1/F took 6975ms
Initializing table of differences for G took 367ms
Computing roots of G took 17485ms
Building G from its roots took 18818ms
Computing roots of G took 17480ms
Building G from its roots took 18779ms
Computing G * H took 3093ms
Reducing  G * H mod F took 3792ms
Computing roots of G took 17580ms
Building G from its roots took 18752ms
Computing G * H took 3088ms
Reducing  G * H mod F took 3801ms
Computing roots of G took 17540ms
Building G from its roots took 18814ms
Computing G * H took 3096ms
Reducing  G * H mod F took 3755ms
Computing polyeval(F,G) took 31895ms
Computing product of all F(g_i) took 99ms
Step 2 took 241230ms
********** Factor found in step 2: 2126194822470901589472330700984239622414403364022147381
Found probable prime factor of 55 digits: 2126194822470901589472330700984239622414403364022147381
Probable prime cofactor 375299588659849178097505614884236430757405993428688703747934019242155590794274413384956807081853649808369277869 has 111 digits

GMP-ECM

5497475693542599900137753904027046725317268295673352962101130025028826754645786928994063105034654118569051608470085336567414139237147238503964673271734154792435822221999158122618964401578798534528652817103833606709663981138504755963<232>

208261020479000347101700798333911836167997223186393613328705310656022214508851093370357514751822283929191253037139881985421728566469975702880944116626171468240194376952447066990628254078444984380423464074973967372440124956612287400208261020479<243>

16203614346544402979985695501110435607544241636411078154408532301253215512755923494195394665015553771668363239777499639272528085635240641042126848563837529882196759778129157867502091890255883998734011581990609278384139774314177343<230>

1463928145621959978529642685071979539552935554680794053309210628380791601438709392055837236557988380914068801278837468166835700209452422818328861672218437793270368139740748653795666089023290825363947050957932714942936743672177<226>

583816206095683389465639837749692109928310288972480558190566756123526557361353138065624249856989355181811556388812641411231670238810992130449449933235751697907807053025204221341459795448315870255410832923770047640375444417924052711986826771125657<246>

283213300972670675770266133095772891<36>

2061401085650352587440459644842450851607474824244702009338279181016305093813808461524005124669340879234397697590986052850850161770356527144124665027463482422318605664071930049790016775471202320516429745001353627<211>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3257126238
Step 1 took 107967ms
Step 2 took 28927ms
********** Factor found in step 2: 283213300972670675770266133095772891
Found probable prime factor of 36 digits: 283213300972670675770266133095772891
Composite cofactor 2061401085650352587440459644842450851607474824244702009338279181016305093813808461524005124669340879234397697590986052850850161770356527144124665027463482422318605664071930049790016775471202320516429745001353627 has 211 digits

GMP-ECM 6.2.1

2061401085650352587440459644842450851607474824244702009338279181016305093813808461524005124669340879234397697590986052850850161770356527144124665027463482422318605664071930049790016775471202320516429745001353627<211>

30514803949072479916508407920138502406840761<44>
67554131728675595877182191207565223678537892755650861861150769610108509817910435911572584907618296644927105042857152188326393729531239332305462078550451764683942840307<167>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3250361696
Step 1 took 413376ms
Step 2 took 153259ms
********** Factor found in step 2: 30514803949072479916508407920138502406840761
Found probable prime factor of 44 digits: 30514803949072479916508407920138502406840761
Probable prime cofactor 67554131728675595877182191207565223678537892755650861861150769610108509817910435911572584907618296644927105042857152188326393729531239332305462078550451764683942840307 has 167 digits

346820809248554913294797687861271676300578034682080924855491329479768786127167630057803468208092485549132947976878612716763005780346820809248554913294797687861271676300578034682080924855491329479768786127167630057803468208092485549132947976878612716763<252>

88517538713036270036158457<26>
2626427982298942622280758199235321253933<40>
1491799031598580630145833953290610224178703088585124279116265169907502798088459708988102092921871699933351226503286142960784711756472443848902076996799117408694238040577985543372273205023<187>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=3293726863
Step 1 took 11928ms
Step 2 took 4781ms
********** Factor found in step 2: 88517538713036270036158457
Found probable prime factor of 26 digits: 88517538713036270036158457
Composite cofactor has 226 digits

Input number is 346820809248554913294797687861271676300578034682080924855491329479768786127167630057803468208092485549132947976878612716763005780346820809248554913294797687861271676300578034682080924855491329479768786127167630057803468208092485549132947976878612716763 (252 digits)
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=419602075
Step 1 took 11917ms
Step 2 took 4788ms
********** Factor found in step 2: 2626427982298942622280758199235321253933
Found probable prime factor of 40 digits: 2626427982298942622280758199235321253933
Composite cofactor 132050378531597378809603023452225732631778850435995906628339198007236855582745071962079843402314352529858616036912747651789970541583615797151702264952475663236438610824762464704963329870097446321193159886076329511 has 213 digits

> pfgw -f0 -q"132050378531597378809603023452225732631778850435995906628339198007236855582745071962079843402314352529858616036912747651789970541583615797151702264952475663236438610824762464704963329870097446321193159886076329511/88517538713036270036158457"
PFGW Version 3.3.2.20100216.x86_Dev [GWNUM 25.13]
No factoring at all, not even trivial division
132050378531597378809603023452225732631778850435995906628339198007236855582745071962079843402314352529858616036912747651789970541583615797151702264952475663236438610824762464704963329870097446321193159886076329511/88517538713036270036158457 is 3-PRP! (0.0017s+0.0001s)

87171291587970361760860090077001307569373819555426412901351155019613540607293331396193520267325294203109109399970942902804009879413046636640999564143542060148191195699549614993462153130902222867935493244224901932296963533343019032398663373528984454453<251>

49747434226336484812339320184963414661832327749<47>

1752277136371819987688816666336048179923023876533661877464006490443524402939894626957604986744677002116358026445807180430456716326196223179165763902459604749246182917475380471751156890044440156621243637297<205>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3263518589
Step 1 took 117287ms
Step 2 took 30386ms
********** Factor found in step 2: 49747434226336484812339320184963414661832327749
Found probable prime factor of 47 digits: 49747434226336484812339320184963414661832327749
Composite cofactor 1752277136371819987688816666336048179923023876533661877464006490443524402939894626957604986744677002116358026445807180430456716326196223179165763902459604749246182917475380471751156890044440156621243637297 has 205 digits

GMP-ECM 6.2.1

1752277136371819987688816666336048179923023876533661877464006490443524402939894626957604986744677002116358026445807180430456716326196223179165763902459604749246182917475380471751156890044440156621243637297<205>

93393494677771869725728274544160702387<38>
18762303974356694938799666015493808815655233051292039095524653962404928652777129876816130050223716108616075363205748114668749184615484394784838028920469164429302945931<167>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2017306587
Step 1 took 82606ms
Step 2 took 23282ms
********** Factor found in step 2: 93393494677771869725728274544160702387
Found probable prime factor of 38 digits: 93393494677771869725728274544160702387
Probable prime cofactor 18762303974356694938799666015493808815655233051292039095524653962404928652777129876816130050223716108616075363205748114668749184615484394784838028920469164429302945931 has 167 digits

GMP-ECM 6.2.1

54207312782669898748934126997540017502680873827017892982920920686536880886974437705369691365921520268882807688005512307565374291636317746505965716583776857719270364811342016155675844300045692258916394808670859133346245640172709967<230>

2983186429460874154107417886518025439089<40>
18170943742348118741172363863140141898597672778388569713317646113797239991889309439109299321947495677778086663489061996458662988293973972843560146303635123131197016580674299653268184852794303<191>

Factor=2983186429460874154107417886518025439089  Method=ECM  B1=11000000  Sigma=2238900494

ECMNET/GMP-ECM 6.2.3

40458530006743088334457181389076196898179366149696561024949426837491571139581928523263654753877275792312879298718813216453135536075522589345920431557653405259608900876601483479433580579905596763317599460552933243425488873904248145650708024275118004045853<254>

196453704165432881259747930910080944542421404101686280860326900225833940560516077<81>
205944347950156854634324788614536037232120920693573848063685999691957315716742495005134703737443437653650582959954669662935664897118898326637875961464257161974633164580495089<174>

Number: 59999_256
N=40458530006743088334457181389076196898179366149696561024949426837491571139581928523263654753877275792312879298718813216453135536075522589345920431557653405259608900876601483479433580579905596763317599460552933243425488873904248145650708024275118004045853
  ( 254 digits)
SNFS difficulty: 258 digits.
Divisors found: (dependency 4)
 r1=196453704165432881259747930910080944542421404101686280860326900225833940560516077 (pp81)
 r2=205944347950156854634324788614536037232120920693573848063685999691957315716742495005134703737443437653650582959954669662935664897118898326637875961464257161974633164580495089 (pp174)
Msieve version: Msieve v. 1.49 (SVN unknown)
GGNFS version: GGNFS-0.77.1-VC8(UTE)
Total time: 58098.88 hours.
Scaled time: 260515.37 units (timescale=4.484).
Factorization parameters were as follows:
Number: 59999_256
n: 40458530006743088334457181389076196898179366149696561024949426837491571139581928523263654753877275792312879298718813216453135536075522589345920431557653405259608900876601483479433580579905596763317599460552933243425488873904248145650708024275118004045853
m: 10000000000000000000000000000000000000000000
deg: 6
c6: 3
c0: -50
skew: 1.60
# Murphy_E = 9.436e-14
type: snfs
lss: 1
rlim: 100000000
alim: 100000000
lpbr: 31
lpba: 31
mfbr: 63
mfba: 63
rlambda: 2.8
alambda: 2.8
qintsize: 25000
relslim: 260000000

Polynomial score was as follows:
Factor base limits: 100000000/100000000
Large primes per side: 3
Large prime bits: 31/31
Sieved special-q in [50000000, 312575001)
Relations: raw-rels:251828300 rels:198950119, finalFF:16247842
Pruned matrix : 16245873 x 16246098
Total sieving time: 57694.12 hours.
Total relation processing time: (N/A)
Total matrix build processing time: (N/A)
Matrix pruned processing time: 1.56 hours.
Matrix solve time: 400.00 hours.
Total time of square root: 3.19 hours.
Prototype def-par.txt line would be:
snfs,258,6,0,0,0,0,0,0,0,0,100000000,100000000,31,31,63,63,2.8,2.8,100000
total time: 58098.88 hours.
 --------- CPU info (if available) ----------

Msieve v. 1.49 (SVN unknown) + GGNFS-0.77.1-VC8 with 
factMsieve.pl (decomposed + modified) snfs
(without procrels.exe, matbuild.exe for "finalFF" calculation)

Core i7 2600 - Windows7 64bit (7 threads used),
Core i7 4770 - Windows7 64bit (8 threads used) x 2 and
Core 2 Quad Q6600 - Windows Vista 32bit (4 threads used)

38621035641960859341470316163607528622265182013886880589091013525466679682989366299923947859093869719911045972596258428443930746705814911745243566652145678128818136132057618316506075929835387493517693232278805279601073679760012058317340759<239>

4738471755732062349603565310273515281657774069047444834067464611283268282781287744176116016243645259316705597523073134475937391344526017548427503253415414347133420381939100111595663628990265013157738080941106584259591982497925738700847031773663<244>

85655196536259341586944718219175890073347251201102285122857801918739291721166710713599283554300487126423959877888391286959163560082796194397821213021673703748282644468983345442564384602933128114739803779502538960030311327320238654967613<236>

48585435312386903981599114927200465460607<41>

1762980942447611783185094479108384678581691713999666050185886907572569348064162719843109893622355527189022825710067240806033085089349377364455648412149008686349647980417265706683420649158834907459<196>

Factor=48585435312386903981599114927200465460607  Method=ECM  B1=11000000  Sigma=1909773740

354630888350375317690170813877888764111354098942017849754713635557657071930965187067793604822980081565104320586323068739287191914415745611442756664105443584136178261126544121993025592529109285418759973993734854305810036054140315621490631834032744252024351321<258>

1150663424447903634657889351514941903<37>

308196889564409071426273007100505761487391054704281690544989136855979840821135569707428944878425593509925877111920480737560193584342813547425464666649037058647177332245842212193086338257327103815458400040860853644628786007<222>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=182893987
Step 1 took 131166ms
Step 2 took 62868ms
********** Factor found in step 2: 1150663424447903634657889351514941903
Found probable prime factor of 37 digits: 1150663424447903634657889351514941903
Composite cofactor 308196889564409071426273007100505761487391054704281690544989136855979840821135569707428944878425593509925877111920480737560193584342813547425464666649037058647177332245842212193086338257327103815458400040860853644628786007 has 222 digits

GMP-ECM 6.2.3

117486991726359040894006642033797661314207600942375677570359528663649579734962797269096791363874265210313443968220823601577303431679681563623582549441677330078982957919092200081414619345739004226154197733273319512530068120175887538099229<237>