1109635485450620610576680187648861356963503202313062811422829081969361618545581487909382356318469264523371257201020350638980526369472799<136>

1080410951908217088203068529610239<34>
1027049460661970594903506561912251124101625777138266370978214953652943793348367291441285157423461027041<103>

GMP-ECM 6.1.1 [powered by GMP 4.1.4] [ECM]
Input number is 1109635485450620610576680187648861356963503202313062811422829081969361618545581487909382356318469264523371257201020350638980526369472799 (136 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3574973593
Step 1 took 9539ms
Step 2 took 5076ms
********** Factor found in step 2: 1080410951908217088203068529610239
Found probable prime factor of 34 digits: 1080410951908217088203068529610239
Probable prime cofactor 1027049460661970594903506561912251124101625777138266370978214953652943793348367291441285157423461027041 has 103 digits

Core 2 Duo E6300@2.33GHz

211411066264230152062340716870399973612067889013296080886298760548537066854582641830091382226851007304354037398622074774304913110973<132>

185694616568789821030958057358645587169415001<45>
1138487858025295935614061399440799079483198341134630811712967349874304476402618347315973<88>

Number: n
N=211411066264230152062340716870399973612067889013296080886298760548537066854582641830091382226851007304354037398622074774304913110973
  ( 132 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=185694616568789821030958057358645587169415001 (pp45)
 r2=1138487858025295935614061399440799079483198341134630811712967349874304476402618347315973 (pp88)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 46.26 hours.
Scaled time: 60.70 units (timescale=1.312).
Factorization parameters were as follows:
name: KA_9_2_155_9
n: 211411066264230152062340716870399973612067889013296080886298760548537066854582641830091382226851007304354037398622074774304913110973
skew: 0.59
deg: 5
c5: 830
c0: 61
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, 18400001)
Primes: RFBsize:216816, AFBsize:216337, largePrimes:7238483 encountered
Relations: rels:6703027, finalFF:495978
Max relations in full relation-set: 48
Initial matrix: 433220 x 495978 with sparse part having weight 46386571.
Pruned matrix : 387853 x 390083 with weight 30950811.
Total sieving time: 40.61 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 5.13 hours.
Total square root time: 0.28 hours, sqrts: 3.
Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 46.26 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

7845651518440422046274124148055206572053296058018576850355756519442414234698093136206369834368093919414710356459458036979<121>

19948874429255659337544510594592376405101429806260627<53>
393287929414931017949697007530034379610754908774038875145063023078177<69>

Number: 92229_158
N=7845651518440422046274124148055206572053296058018576850355756519442414234698093136206369834368093919414710356459458036979
  ( 121 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=19948874429255659337544510594592376405101429806260627 (pp53)
 r2=393287929414931017949697007530034379610754908774038875145063023078177 (pp69)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 38.31 hours.
Scaled time: 82.06 units (timescale=2.142).
Factorization parameters were as follows:
n: 7845651518440422046274124148055206572053296058018576850355756519442414234698093136206369834368093919414710356459458036979
m: 20000000000000000000000000000000
c5: 10375
c0: 244
skew: 0.47
type: snfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2000000, 4200001)
Primes: RFBsize:283146, AFBsize:283188, largePrimes:5761581 encountered
Relations: rels:5805318, finalFF:660921
Max relations in full relation-set: 28
Initial matrix: 566401 x 660921 with sparse part having weight 47281694.
Pruned matrix : 502096 x 504992 with weight 33891197.
Total sieving time: 36.70 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.46 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 38.31 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407683)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129)
Total of 4 processors activated (19246.12 BogoMIPS).

Core 2 Quad Q6600

82377282688522324471386738670604920097544270377970882236867731937330979991031456209040941909472640456400794413563335033888272265153043845607452677925817<152>

79242765343021762777586110766574321493<38>
1039555880362478945347803022950014270999726058613258831222612147118945027723605412596578155237411757742769127379669<115>

GMP-ECM 5.0 [powered by GMP 4.1.2] [ECM]
Input number is 82377282688522324471386738670604920097544270377970882236867731937330979991031456209040941909472640456400794413563335033888272265153043845607452677925817 (152 digits)
Using B1=1739000, B2=1846852470, polynomial Dickson(6), sigma=3176116707
Step 1 took 34430ms
Step 2 took 26190ms
********** Factor found in step 2: 79242765343021762777586110766574321493
Found probable prime factor of 38 digits: 79242765343021762777586110766574321493
Probable prime cofactor 1039555880362478945347803022950014270999726058613258831222612147118945027723605412596578155237411757742769127379669 has 115 digits

30740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740743<161>

763644251892931073537547192111224194051499190901748667513491<60>
40255316090627542913753162624598825771292696705345565195696208829537695183338310830115705652897654973<101>

Number: n
N=30740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740743
  ( 161 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=763644251892931073537547192111224194051499190901748667513491 (pp60)
 r2=40255316090627542913753162624598825771292696705345565195696208829537695183338310830115705652897654973 (pp101)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 61.80 hours.
Scaled time: 73.97 units (timescale=1.197).
Factorization parameters were as follows:
name: KA_9_2_159_9
n: 30740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740743
type: snfs
skew: 0.94
deg: 5
c5: 83
c0: 61
m: 100000000000000000000000000000000
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
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, 2500001)
Primes: RFBsize:216816, AFBsize:216307, largePrimes:7209488 encountered
Relations: rels:6639658, finalFF:486906
Max relations in full relation-set: 28
Initial matrix: 433188 x 486906 with sparse part having weight 36566778.
Pruned matrix : 396137 x 398366 with weight 26704077.
Total sieving time: 56.15 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 5.25 hours.
Total square root time: 0.13 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.3,2.3,100000
total time: 61.80 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD XP 2700+

49520233302386964779546750368695160262255294423154139840175164473697688657347976477513615143791891804577561756279764230158227764030719676476471830550861<152>

1253925579802704887847319737479996409450417957300062431<55>
39492162932172239037026100445899515906877612660361618281345600460588359473016205661201392275400531<98>

Number: n
N=49520233302386964779546750368695160262255294423154139840175164473697688657347976477513615143791891804577561756279764230158227764030719676476471830550861
  ( 152 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=1253925579802704887847319737479996409450417957300062431 (pp55)
 r2=39492162932172239037026100445899515906877612660361618281345600460588359473016205661201392275400531 (pp98)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 65.76 hours.
Scaled time: 95.42 units (timescale=1.451).
Factorization parameters were as follows:
name: KA_9_2_160_9
n: 49520233302386964779546750368695160262255294423154139840175164473697688657347976477513615143791891804577561756279764230158227764030719676476471830550861
skew: 0.59
deg: 5
c5: 830
c0: 61
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, 2900001)
Primes: RFBsize:250150, AFBsize:249517, largePrimes:7668454 encountered
Relations: rels:7187894, finalFF:565601
Max relations in full relation-set: 28
Initial matrix: 499734 x 565601 with sparse part having weight 45402229.
Pruned matrix : 454050 x 456612 with weight 33560178.
Total sieving time: 58.49 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 6.82 hours.
Total square root time: 0.19 hours, sqrts: 2.
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: 65.76 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

2294720621494044723501193022587510995379466046473791605416061226154482486212075390007842580455013701527981276373027895660286461909530014578301456551<148>

266614931935353132585870319448121552669271271<45>
8606872108912684768820232718493204401373246518359328695784136236316614714942900588215155616801419951681<103>

Number: n
N=2294720621494044723501193022587510995379466046473791605416061226154482486212075390007842580455013701527981276373027895660286461909530014578301456551
  ( 148 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=266614931935353132585870319448121552669271271 (pp45)
 r2=8606872108912684768820232718493204401373246518359328695784136236316614714942900588215155616801419951681 (pp103)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 89.26 hours.
Scaled time: 117.91 units (timescale=1.321).
Factorization parameters were as follows:
name: KA_9_2_162_9
n: 2294720621494044723501193022587510995379466046473791605416061226154482486212075390007842580455013701527981276373027895660286461909530014578301456551
skew: 1.00
deg: 5
c5: 83000
c0: 61
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, 3500001)
Primes: RFBsize:250150, AFBsize:249877, largePrimes:7740802 encountered
Relations: rels:7222735, finalFF:569028
Max relations in full relation-set: 48
Initial matrix: 500094 x 569028 with sparse part having weight 54550980.
Pruned matrix : 469886 x 472450 with weight 38556850.
Total sieving time: 80.47 hours.
Total relation processing time: 0.32 hours.
Matrix solve time: 8.13 hours.
Total square root time: 0.34 hours, sqrts: 3.
Prototype def-par.txt line would be:
snfs,164,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000
total time: 89.26 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

3252971914797445349054660398728776863568519850605226649656754557340236386460735898302316013890979678288381293137596702958878519747398343478609039579707076743<157>

934362002948337010399886026756338182492289458726612819250096628684686778943023<78>
3481489941299881313436648358877533150389619165412918752742979918506381341113641<79>

Number: n
N=3252971914797445349054660398728776863568519850605226649656754557340236386460735898302316013890979678288381293137596702958878519747398343478609039579707076743
  ( 157 digits)
SNFS difficulty: 167 digits.
Divisors found:

Thu Jan 17 19:55:51 2008  prp78 factor: 934362002948337010399886026756338182492289458726612819250096628684686778943023
Thu Jan 17 19:55:51 2008  prp79 factor: 3481489941299881313436648358877533150389619165412918752742979918506381341113641
Thu Jan 17 19:55:51 2008  elapsed time 01:31:24 (Msieve 1.33)

Version: GGNFS-0.77.1-20050930-k8
Total time: 119.15 hours.
Scaled time: 99.73 units (timescale=0.837).
Factorization parameters were as follows:
name: KA_9_2_165_9
n: 3252971914797445349054660398728776863568519850605226649656754557340236386460735898302316013890979678288381293137596702958878519747398343478609039579707076743
type: snfs
deg: 5
c5: 830
c0: 61
skew: 0.59
m: 1000000000000000000000000000000000
rlim: 3000000
alim: 3000000
lbpr: 28
lbpa: 28
mbpr: 48
mbpa: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved  special-q in [100000, 8900713)
Primes: RFBsize:216816, AFBsize:216337, largePrimes:6552860 encountered
Relations: rels:6849372, finalFF:293088
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 118.83 hours.
Total relation processing time: 0.32 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.5,2.5,100000
total time: 119.15 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM)
Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888)
Calibrating delay loop... 6045.69 BogoMIPS (lpj=3022848)
Total of 2 processors activated (12009.47 BogoMIPS).

704524233935998641880994822171292759528053645700704524233935998641880994822171292759528053645700704524233935998641880994822171292759528053645700704524233935998641881<165>

144036627455472159894503296079104823<36>
251944573572582320400006996542619031<36>
7807715710023051816711416095697929674094210463<46>
2486531651431884079209006357389967329362985364599<49>

Number: n
N=704524233935998641880994822171292759528053645700704524233935998641880994822171292759528053645700704524233935998641880994822171292759528053645700704524233935998641881
  ( 165 digits)
SNFS difficulty: 168 digits.
Divisors found:
 r1=144036627455472159894503296079104823 (pp36)
 r2=251944573572582320400006996542619031 (pp36)
 r3=7807715710023051816711416095697929674094210463 (pp46)
 r4=2486531651431884079209006357389967329362985364599 (pp49)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 124.98 hours.
Scaled time: 164.85 units (timescale=1.319).
Factorization parameters were as follows:
name: KA_9_2_166_9
n: 704524233935998641880994822171292759528053645700704524233935998641880994822171292759528053645700704524233935998641880994822171292759528053645700704524233935998641881
skew: 0.37
deg: 5
c5: 8300
c0: 61
m: 1000000000000000000000000000000000
type: snfs
rlim: 5000000
alim: 5000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 4900001)
Primes: RFBsize:348513, AFBsize:348547, largePrimes:8346543 encountered
Relations: rels:7970546, finalFF:806767
Max relations in full relation-set: 48
Initial matrix: 697127 x 806767 with sparse part having weight 49889352.
Pruned matrix : 609729 x 613278 with weight 34943447.
Total sieving time: 112.71 hours.
Total relation processing time: 0.41 hours.
Matrix solve time: 10.22 hours.
Total square root time: 1.64 hours, sqrts: 13.
Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,5000000,5000000,28,28,48,48,2.5,2.5,100000
total time: 124.98 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

47378513878498997407914099860561980031395039528294100942573645186840908409858527055552231541894871702346608342335425769303100429547422515708382132031<149>

106355916117472562674540821070957317439<39>
445471353245345900119817406448596918723980474959155182424548921066868827075147451237495128565791226177408521729<111>

GMP-ECM 6.2.1 [powered by GMP 4.1.4] [ECM]
Input number is 47378513878498997407914099860561980031395039528294100942573645186840908409858527055552231541894871702346608342335425769303100429547422515708382132031 (149 digits)
Using B1=2014000, B2=2853999340, polynomial Dickson(6), sigma=1836672845
Step 1 took 30797ms
Step 2 took 14906ms
********** Factor found in step 2: 106355916117472562674540821070957317439
Found probable prime factor of 39 digits: 106355916117472562674540821070957317439
Probable prime cofactor 445471353245345900119817406448596918723980474959155182424548921066868827075147451237495128565791226177408521729 has 111 digits

15577662994010806695081485383292865818538910442711407635938972466437913133193751103661177414020434422659176947550508383832976269546051<134>

1726749728443451253301685064608158190696349413333703282713957627<64>
9021378568886773302100490483436286315897328280385176251536421021754713<70>

Number: 92229_171
N=15577662994010806695081485383292865818538910442711407635938972466437913133193751103661177414020434422659176947550508383832976269546051
  ( 134 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=1726749728443451253301685064608158190696349413333703282713957627 (pp64)
 r2=9021378568886773302100490483436286315897328280385176251536421021754713 (pp70)
Version: Msieve-1.40
Total time: 108.15 hours.
Scaled time: 351.91 units (timescale=3.254).
Factorization parameters were as follows:
name: 92229_171
n: 15577662994010806695081485383292865818538910442711407635938972466437913133193751103661177414020434422659176947550508383832976269546051
m: 10000000000000000000000000000000000
deg: 5
c5: 830
c0: 61
skew: 0.59
type: snfs
lss: 1
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2650000, 6750001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1046766 x 1047014
Total sieving time: 105.78 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 2.15 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,172.000,5,0,0,0,0,0,0,0,0,5300000,5300000,27,27,52,52,2.4,2.4,100000
total time: 108.15 hours.
 --------- CPU info (if available) ----------

Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

450432428871701623372416252206846246465782611578949833933103324516806771404206609718498638288579410116427233718909785345627603531517346894761339751721<150>

463611924939223748791233595241726366908075752500758544688911<60>
971572137474138819157817481059428117757375952672081575264590281257481840117066374961776711<90>

N=450432428871701623372416252206846246465782611578949833933103324516806771404206609718498638288579410116427233718909785345627603531517346894761339751721
  ( 150 digits)
SNFS difficulty: 174 digits.
Divisors found:
 r1=463611924939223748791233595241726366908075752500758544688911 (pp60)
 r2=971572137474138819157817481059428117757375952672081575264590281257481840117066374961776711 (pp90)
Version: Msieve v. 1.47
Total time:
Scaled time: 309.22 units (timescale=1.817).
Factorization parameters were as follows:
n: 450432428871701623372416252206846246465782611578949833933103324516806771404206609718498638288579410116427233718909785345627603531517346894761339751721
m: 10000000000000000000000000000000000
deg: 5
c5: 83000
c0: 61
skew: 0.24
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
qintsize: 160000
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2900000, 8020001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1128340 x 1128588
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,174.000,5,0,0,0,0,0,0,0,0,5800000,5800000,27,27,52,52,2.4,2.4,100000
total time:

1129904704264065269216282553200839901355845220162870134427873712948891415367401397834789298786064507018408510272316667477290627872723515191761453<145>

9001064337132742691514707859602735299047680360912661757222084313<64>
125530121988217276638425718787631221454175796236203734918711661808896511469201781<81>

SNFS difficulty: 176 digits.
Divisors found:
 r1=9001064337132742691514707859602735299047680360912661757222084313 (pp64)
 r2=125530121988217276638425718787631221454175796236203734918711661808896511469201781 (pp81)
Version: Msieve v. 1.46
Total time: 31.91 hours.
Scaled time: 95.72 units (timescale=3.000).
Factorization parameters were as follows:
n: 1129904704264065269216282553200839901355845220162870134427873712948891415367401397834789298786064507018408510272316667477290627872723515191761453
m: 100000000000000000000000000000000000
deg: 5
c5: 83
c0: 61
skew: 0.94
type: snfs
lss: 1
rlim: 6200000
alim: 6200000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [3100000, 6600001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1369992 x 1370220
Total sieving time: 29.53 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 2.19 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,176.000,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,55,55,2.5,2.5,100000
total time: 31.91 hours.

1759997057886695342188429307585831931512871199376735306250596179464570326618223106360414505683532782079113821588296936453104743151<130>

1409328991512555519232573318362456272592314367620446751<55>
1248819167480395771815159596487823578218167966441018192910716705112542596401<76>

N = 1759997057886695342188429307585831931512871199376735306250596179464570326618223106360414505683532782079113821588296936453104743151 (130 digits)
SNFS difficulty: 179 digits.
Divisors found:
r1=1409328991512555519232573318362456272592314367620446751 (pp55)
r2=1248819167480395771815159596487823578218167966441018192910716705112542596401 (pp76)
Version: Msieve v. 1.48
Total time: 47.09 hours.
Factorization parameters were as follows:
name: (83*10^177+61)/9
n: 1759997057886695342188429307585831931512871199376735306250596179464570326618223106360414505683532782079113821588296936453104743151
Y0: 100000000000000000000000000000000000
Y1: -1
c0: 61
c1: 0
c2: 0
c3: 0
c4: 0
c5: 8300
skew: 0.37
type: snfs
Factor base limits: 6700000/6700000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 21574703
Relations: 2670800 relations
Pruned matrix : 1550633 x 1550858
Polynomial selection time: 0.00 hours.
Total sieving time: 43.70 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 3.10 hours.
time per square root: 0.16 hours.
Prototype def-par.txt line would be: snfs,179,5,0,0,0,0,0,0,0,0,6700000,6700000,28,28,55,55,2.5,2.5,100000
total time: 47.09 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

181593351895636688169886699817387676117985256563303224919353884873246189498818407803832094655575356349876808322717344286430356096214291<135>

170407078568601759327225197478337222946585085863<48>
1065644417010127935182907896933257687337122862827067793272462654426313866602233582232757<88>

Number: n
N=181593351895636688169886699817387676117985256563303224919353884873246189498818407803832094655575356349876808322717344286430356096214291
  ( 135 digits)
Divisors found:

Tue Jun  5 00:38:40 2012  prp48 factor: 170407078568601759327225197478337222946585085863
Tue Jun  5 00:38:40 2012  prp88 factor: 1065644417010127935182907896933257687337122862827067793272462654426313866602233582232757
Tue Jun  5 00:38:40 2012  elapsed time 02:31:11 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.091).
Factorization parameters were as follows:
name: KA_92229_179
n: 181593351895636688169886699817387676117985256563303224919353884873246189498818407803832094655575356349876808322717344286430356096214291
skew: 258280.02
# norm 2.98e+18
c5: 212940
c4: -41633242680
c3: -67046205103748204
c2: 2428623250978449347293
c1: 1223337949715807040078112630
c0: 2186456659044571291423626842400
# alpha -6.24
Y1: 1358341146893369
Y0: -61117969373784335100882037
# Murphy_E 4.50e-11
# M 22248461297273442650072542896262166056688242208289558747868208716464214909237978838375944645303133769309977837706819324857600018292134
type: gnfs
rlim: 15000000
alim: 15000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 60000
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 10860000)
Primes: RFBsize:970704, AFBsize:969131, 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2682594 hash collisions in 26323114 relations (24622917 unique)
Msieve: matrix is 1324507 x 1324732 (385.1 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:
gnfs,134,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,15000000,15000000,28,28,55,55,2.5,2.5,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 4015340k/5242880k available (3972k kernel code, 1049604k absent, 177936k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.88 BogoMIPS (lpj=2830943)
Calibrating delay using timer specific routine.. 5660.88 BogoMIPS (lpj=2830444)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830457)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Total of 4 processors activated (22644.60 BogoMIPS).

1362304744215565775959663840668611483706694375475791492598686498389309556589125406053865768637078160846584234080942851146318058564544674122089137<145>

7406346614624816871156254554581766724857589<43>
183937481608748069080381924001977118941820644274101930972853611978154959676327378218259295039094208333<102>

N=1362304744215565775959663840668611483706694375475791492598686498389309556589125406053865768637078160846584234080942851146318058564544674122089137
  ( 145 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=7406346614624816871156254554581766724857589 (pp43)
 r2=183937481608748069080381924001977118941820644274101930972853611978154959676327378218259295039094208333 (pp102)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 158.84 hours.
Scaled time: 305.29 units (timescale=1.922).
Factorization parameters were as follows:
n: 1362304744215565775959663840668611483706694375475791492598686498389309556589125406053865768637078160846584234080942851146318058564544674122089137
m: 1000000000000000000000000000000000000
deg: 5
c5: 830
c0: 61
skew: 0.59
# Murphy_E = 6.657e-11
type: snfs
lss: 1
rlim: 7800000
alim: 7800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7800000/7800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3900000, 11900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1725440 x 1725665
Total sieving time: 155.21 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 3.20 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
snfs,182.000,5,0,0,0,0,0,0,0,0,7800000,7800000,28,28,53,53,2.5,2.5,100000
total time: 158.84 hours.
 --------- CPU info (if available) ----------

6307375813657836245391384948506221181503127938158011353424807273289364847995843369732164212319516764115100059956802815471354573467133201821<139>

1164021446846891206738571764687902259416679939704180532821317<61>
5418607905157844366511004737903397643831509093085219163571336748899912348629113<79>

N=6307375813657836245391384948506221181503127938158011353424807273289364847995843369732164212319516764115100059956802815471354573467133201821
  ( 139 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=1164021446846891206738571764687902259416679939704180532821317 (pp61)
 r2=5418607905157844366511004737903397643831509093085219163571336748899912348629113 (pp79)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 185.67 hours.
Scaled time: 356.68 units (timescale=1.921).
Factorization parameters were as follows:
n: 6307375813657836245391384948506221181503127938158011353424807273289364847995843369732164212319516764115100059956802815471354573467133201821
m: 5000000000000000000000000000000000000
deg: 5
c5: 1328
c0: 305
skew: 0.75
# Murphy_E = 5.184e-11
type: snfs
lss: 1
rlim: 9000000
alim: 9000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 600000
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, 13500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1964071 x 1964298
Total sieving time: 181.37 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 3.80 hours.
Time per square root: 0.27 hours.
Prototype def-par.txt line would be:
snfs,186.000,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,54,54,2.5,2.5,100000
total time: 185.67 hours.
 --------- CPU info (if available) ----------

11975936863183358248554497011506440623051685644174883289393187724496404341718218435134527037287517064098894745988460538796464883046662025611401<143>

498232746968279306085065030066059649<36>
24036832055011075457985102414931695448197121764142271054983652264898965366693711553788610863760562657821449<107>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2392476330
Step 1 took 9897ms
Step 2 took 7309ms
********** Factor found in step 2: 498232746968279306085065030066059649
Found probable prime factor of 36 digits: 498232746968279306085065030066059649
Probable prime cofactor 24036832055011075457985102414931695448197121764142271054983652264898965366693711553788610863760562657821449 has 107 digits

GMP-ECM 6.3 [config GMP 5.0.1] [ECM]

PPC-G5 2.5 GHz

23407694621966785307982015594726839526771304579314948599091374903091709675792721990819469156525447745289275395521400548785760972171530737229477<143>

500313517088791509741990224216811710263271<42>
46786052789800162536698374980991591511799439706534547394984669257731806967092016480623269059393411987<101>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3363060615
Step 1 took 20015ms
Step 2 took 11669ms
********** Factor found in step 2: 500313517088791509741990224216811710263271
Found probable prime factor of 42 digits: 500313517088791509741990224216811710263271
Probable prime cofactor 46786052789800162536698374980991591511799439706534547394984669257731806967092016480623269059393411987 has 101 digits

GMP-ECM 6.3

13582517234694561357255684994680042611701750548393984544969484644745153557001647684691995219538344175958904726569256092634681971803297208560070523295910775850702003021<167>

34852787639741685096297754196696602043022780285313724826898707685511959211610820169<83>
389711072040813936319660392695148950719246274752517454185693799374520821006123873509<84>

p83 factor: 34852787639741685096297754196696602043022780285313724826898707685511959211610820169
p84 factor: 389711072040813936319660392695148950719246274752517454185693799374520821006123873509


Msieve v. 1.54 (SVN 1034)
random seeds: d3b608c9 afe7a009
factoring 13582517234694561357255684994680042611701750548393984544969484644745153557001647684691995219538344175958904726569256092634681971803297208560070523295910775850702003021 (167 digits)
searching for 15-digit factors
commencing number field sieve (167-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: 61
A1: 0
A2: 0
A3: 0
A4: 0
A5: 8300
skew 1.00, size 9.895e-14, alpha -0.358, combined = 2.033e-11 rroots = 1

commencing relation filtering
estimated available RAM is 15892.2 MB
commencing duplicate removal, pass 1
found 2332945 hash collisions in 37014201 relations
added 726443 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 37740644 unique relations
memory use: 98.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 1243.9 MB
keeping 40336213 ideals with weight <= 200, target excess is 199623
commencing in-memory singleton removal
begin with 37740644 relations and 40336213 unique ideals
reduce to 14501692 relations and 13129551 ideals in 13 passes
max relations containing the same ideal: 107
removing 2111689 relations and 1711689 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 12390003 relations and 13129551 unique ideals
reduce to 12130373 relations and 11149134 ideals in 8 passes
max relations containing the same ideal: 97
removing 1700757 relations and 1300757 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 10429616 relations and 11149134 unique ideals
reduce to 10225585 relations and 9637420 ideals in 9 passes
max relations containing the same ideal: 86
removing 1469649 relations and 1113047 ideals in 356602 cliques
commencing in-memory singleton removal
begin with 8755936 relations and 9637420 unique ideals
reduce to 8569976 relations and 8332130 ideals in 8 passes
max relations containing the same ideal: 77
relations with 0 large ideals: 4257
relations with 1 large ideals: 8984
relations with 2 large ideals: 78376
relations with 3 large ideals: 383391
relations with 4 large ideals: 1120015
relations with 5 large ideals: 2030361
relations with 6 large ideals: 2403902
relations with 7+ large ideals: 2540690
commencing 2-way merge
reduce to 5299246 relation sets and 5061400 unique ideals
commencing full merge
memory use: 596.7 MB
found 2471106 cycles, need 2445600
weight of 2445600 cycles is about 220237806 (90.05/cycle)
distribution of cycle lengths:
1 relations: 208403
2 relations: 211408
3 relations: 218770
4 relations: 212227
5 relations: 206198
6 relations: 190430
7 relations: 176626
8 relations: 159671
9 relations: 142760
10+ relations: 719107
heaviest cycle: 27 relations
commencing cycle optimization
start with 17971214 relations
pruned 610887 relations
memory use: 531.5 MB
distribution of cycle lengths:
1 relations: 208403
2 relations: 216589
3 relations: 227124
4 relations: 219442
5 relations: 213695
6 relations: 196468
7 relations: 182296
8 relations: 163437
9 relations: 145328
10+ relations: 672818
heaviest cycle: 27 relations
RelProcTime: 973
elapsed time 00:16:16


Msieve v. 1.54 (SVN 1034)
random seeds: a28aacf3 4443ac09
factoring 13582517234694561357255684994680042611701750548393984544969484644745153557001647684691995219538344175958904726569256092634681971803297208560070523295910775850702003021 (167 digits)
searching for 15-digit factors
commencing number field sieve (167-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: 61
A1: 0
A2: 0
A3: 0
A4: 0
A5: 8300
skew 1.00, size 9.895e-14, alpha -0.358, combined = 2.033e-11 rroots = 1

commencing linear algebra
read 2445600 cycles
cycles contain 8351539 unique relations
read 8351539 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 1020.3 MB
read 2445600 cycles
matrix is 2445422 x 2445600 (898.2 MB) with weight 264391213 (108.11/col)
sparse part has weight 208550608 (85.28/col)
filtering completed in 2 passes
matrix is 2444498 x 2444676 (898.1 MB) with weight 264353968 (108.13/col)
sparse part has weight 208535530 (85.30/col)
matrix starts at (0, 0)
matrix is 2444498 x 2444676 (898.1 MB) with weight 264353968 (108.13/col)
sparse part has weight 208535530 (85.30/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2444450 x 2444676 (856.8 MB) with weight 218411676 (89.34/col)
sparse part has weight 200148789 (81.87/col)
using block size 8192 and superblock size 786432 for processor cache size 8192 kB
commencing Lanczos iteration (8 threads)
memory use: 813.0 MB
linear algebra at 0.1%, ETA 2h41m
checkpointing every 920000 dimensions
lanczos halted after 38661 iterations (dim = 2444450)
recovered 41 nontrivial dependencies
BLanczosTime: 10408
elapsed time 02:53:29


Msieve v. 1.54 (SVN 1034)
random seeds: bb0ec1ae 9899b790
factoring 13582517234694561357255684994680042611701750548393984544969484644745153557001647684691995219538344175958904726569256092634681971803297208560070523295910775850702003021 (167 digits)
searching for 15-digit factors
commencing number field sieve (167-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: 61
A1: 0
A2: 0
A3: 0
A4: 0
A5: 8300
skew 1.00, size 9.895e-14, alpha -0.358, combined = 2.033e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1221210 cycles
cycles contain 4171832 unique relations
read 4171832 relations
multiplying 4171832 relations
multiply complete, coefficients have about 144.64 million bits
initial square root is modulo 155161
GCD is 1, no factor found
reading relations for dependency 2
read 1222284 cycles
cycles contain 4175370 unique relations
read 4175370 relations
multiplying 4175370 relations
multiply complete, coefficients have about 144.76 million bits
initial square root is modulo 156781
GCD is N, no factor found
reading relations for dependency 3
read 1222309 cycles
cycles contain 4176614 unique relations
read 4176614 relations
multiplying 4176614 relations
multiply complete, coefficients have about 144.80 million bits
initial square root is modulo 157271
GCD is N, no factor found
reading relations for dependency 4
read 1221900 cycles
cycles contain 4176068 unique relations
read 4176068 relations
multiplying 4176068 relations
multiply complete, coefficients have about 144.78 million bits
initial square root is modulo 157051
GCD is 1, no factor found
reading relations for dependency 5
read 1220852 cycles
cycles contain 4170614 unique relations
read 4170614 relations
multiplying 4170614 relations
multiply complete, coefficients have about 144.59 million bits
initial square root is modulo 154621
GCD is N, no factor found
reading relations for dependency 6
read 1221399 cycles
cycles contain 4172076 unique relations
read 4172076 relations
multiplying 4172076 relations
multiply complete, coefficients have about 144.65 million bits
initial square root is modulo 155291
GCD is N, no factor found
reading relations for dependency 7
read 1222858 cycles
cycles contain 4176490 unique relations
read 4176490 relations
multiplying 4176490 relations
multiply complete, coefficients have about 144.80 million bits
initial square root is modulo 157231
sqrtTime: 2013
p83 factor: 34852787639741685096297754196696602043022780285313724826898707685511959211610820169
p84 factor: 389711072040813936319660392695148950719246274752517454185693799374520821006123873509
elapsed time 00:33:34

CADO-NFS/Msieve

2941459169441153770242969053005832065201316302143215834155515413844401715963566240400660673794392656131763792144452441225561250387655038256033616727<148>

127431772043356288854424590323164211349791153603<48>
23082619995587733255387443151953886710425441198118769789018984915266665876752020545051811348736358109<101>

2941459169441153770242969053005832065201316302143215834155515413844401715963566240400660673794392656131763792144452441225561250387655038256033616727=127431772043356288854424590323164211349791153603*23082619995587733255387443151953886710425441198118769789018984915266665876752020545051811348736358109

cado polynomial
n: 2941459169441153770242969053005832065201316302143215834155515413844401715963566240400660673794392656131763792144452441225561250387655038256033616727
skew: 0.65
type: snfs
c0: 61
c6: 830
Y0: 100000000000000000000000000000000
Y1: -1
# f(x) = 830*x^6+61
# g(x) = -x+100000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 12400000
tasks.lim1 = 12400000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 23082619995587733255387443151953886710425441198118769789018984915266665876752020545051811348736358109 127431772043356288854424590323164211349791153603
Info:Square Root: Total cpu/real time for sqrt: 804.47/242.443
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 543.32/541.234
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 439.3999999999999s
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 28399656
Info:Lattice Sieving: Average J: 1893.35 for 3717914 special-q, max bucket fill -bkmult 1.0,1s:1.191480
Info:Lattice Sieving: Total time: 831134s
Info:Quadratic Characters: Total cpu/real time for characters: 87.82/37.6378
Info:Square Root: Total cpu/real time for sqrt: 804.47/242.443
Info:Generate Free Relations: Total cpu/real time for freerel: 183.32/47.8153
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 121.77/144.552
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 143.70000000000002s
Info:Filtering - Merging: Merged matrix has 2516674 rows and total weight 428853661 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 691.46/192.109
Info:Filtering - Merging: Total cpu/real time for replay: 100.12/87.3174
Info:Linear Algebra: Total cpu/real time for bwc: 109844/28139.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 70339.82, WCT time 17973.08, iteration CPU time 0.22, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (78848 iterations)
Info:Linear Algebra: Lingen CPU time 538.94, WCT time 136.59
Info:Linear Algebra: Mksol: CPU time 38063.16,  WCT time 9727.83, iteration CPU time 0.23, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (39424 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 8.2/3.45612
Info:Filtering - Singleton removal: Total cpu/real time for purge: 424.69/477.586
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.72047e+06/102801
Info:root: Cleaning up computation data in /tmp/cado.e9iq875t
23082619995587733255387443151953886710425441198118769789018984915266665876752020545051811348736358109 127431772043356288854424590323164211349791153603

cado-nfs-3.0.0

4 x Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

1816678800589205850678424867940972226068049860751790110242961033905951362648474454003602444521902168474105268092631266292494058628857653685711600584129938854943<160>

10975517804116509815687132063535095473<38>
165521010763413548030360586803999338671209569869752313568656402581180815019717508546121267094138587781692592312192948925391<123>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1143648501
Step 1 took 82977ms
Step 2 took 38611ms
********** Factor found in step 2: 10975517804116509815687132063535095473
Found probable prime factor of 38 digits: 10975517804116509815687132063535095473
Probable prime cofactor 165521010763413548030360586803999338671209569869752313568656402581180815019717508546121267094138587781692592312192948925391 has 123 digits

GMP-ECM 6.3

74448059731513037633347877449878484897152077682858910267765114335079739104079046595764642937173560405105673848075329403547794104913109914751267841907174119729688796277<167>

724593365616901737697952009865971013882953217649<48>
102744605821956031522165655946775856492468961675978212693288074566911704307198029012179549020675783173211723715951407173<120>

#
# N = 83x10^196+61 = 92(195)9
#
#
# N = 3 × 43 × 9602680715082187094465082913<28> × [74448059731513037633347877449878484897152077682858910267765114335079739104079046595764642937173560405105673848075329403547794104913109914751267841907174
119729688796277
#

GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 74448059731513037633347877449878484897152077682858910267765114335079739104079046595764642937173560405105673848075329403547794104913109914751267841907174119729688796277 (167 digits)
Using B1=42370000, B2=192395843656, polynomial Dickson(12), sigma=1:3853393993
Step 1 took 419344ms
Step 2 took 104719ms
********** Factor found in step 2: 724593365616901737697952009865971013882953217649
Found probable prime factor of 48 digits: 724593365616901737697952009865971013882953217649
Probable prime cofactor 102744605821956031522165655946775856492468961675978212693288074566911704307198029012179549020675783173211723715951407173 has 120 digits

236156559511352344248004415982988136893115183411227555834408554227535326984386786492335052680272018559480321549525780791518154949477941109021687352081<150>

2365923197323064176506784356252073543187<40>
99815818103712277508041877230601141846955618962552035302621517549423052674458984652763092595917736152039349963<110>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1110314410
Step 1 took 40483ms
Step 2 took 15834ms
********** Factor found in step 2: 2365923197323064176506784356252073543187
Found probable prime factor of 40 digits: 2365923197323064176506784356252073543187
Probable prime cofactor 99815818103712277508041877230601141846955618962552035302621517549423052674458984652763092595917736152039349963 has 110 digits

GMP-ECM 6.3

C2D 3 GHz

4245559892095180107490648708323319773067233665982611447074934022526722994953255169332732599280091072135423316555671991956315456055025317046504919661585664088280996608262261<172>

4132125803952506141973560689972426772329394536941635736871<58>
1027451750872195312056280570106783068736260637774484597046621273018743142705887286416719584388756262800396911417091<115>

Number: n
N=4245559892095180107490648708323319773067233665982611447074934022526722994953255169332732599280091072135423316555671991956315456055025317046504919661585664088280996608262261
  ( 172 digits)
SNFS difficulty: 201 digits.
Divisors found:

Sat Nov 17 01:40:36 2012  prp58 factor: 4132125803952506141973560689972426772329394536941635736871
Sat Nov 17 01:40:36 2012  prp115 factor: 1027451750872195312056280570106783068736260637774484597046621273018743142705887286416719584388756262800396911417091
Sat Nov 17 01:40:36 2012  elapsed time 06:42:57 (Msieve 1.44 - dependency 3)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.092).
Factorization parameters were as follows:
name: KA_92229_199
n: 4245559892095180107490648708323319773067233665982611447074934022526722994953255169332732599280091072135423316555671991956315456055025317046504919661585664088280996608262261
m: 5000000000000000000000000000000000000000
#  c172, diff: 201.62
skew: 0.745
deg: 5
c5: 1328
c0: 305
# Murphy_E = 1.247e-11
type: snfs
lss: 1
rlim: 16000000
alim: 16000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 38400000)
Primes: RFBsize:1031130, AFBsize:1030679,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9408555 hash collisions in 64599005 relations (57753064 unique)
Msieve: matrix is 1987755 x 1987980 (566.4 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,201,5,0,0,0,0,0,0,0,0,16000000,16000000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.42 BogoMIPS (lpj=2830711)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830461)
Total of 4 processors activated (22644.16 BogoMIPS).

101764731658816057919736099844596488876055847481829914076328807021813369021863005039604423480913653375528460521068550314989591491495363820903176618194833932361036177<165>

302275707150262798231021058269653289863123489228427630182619<60>
336661958773379992248306518053027026454129701216111332566117277185622377434060356426376419872046668545283<105>

Number: n
N=101764731658816057919736099844596488876055847481829914076328807021813369021863005039604423480913653375528460521068550314989591491495363820903176618194833932361036177
  ( 165 digits)
SNFS difficulty: 201 digits.
Divisors found:

Thu Nov 15 09:02:19 2012  prp60 factor: 302275707150262798231021058269653289863123489228427630182619
Thu Nov 15 09:02:19 2012  prp105 factor: 336661958773379992248306518053027026454129701216111332566117277185622377434060356426376419872046668545283
Thu Nov 15 09:02:19 2012  elapsed time 06:21:43 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.096).
Factorization parameters were as follows:
name: KA_92229_200
n: 101764731658816057919736099844596488876055847481829914076328807021813369021863005039604423480913653375528460521068550314989591491495363820903176618194833932361036177
m: 10000000000000000000000000000000000000000
#  c165, diff: 201.92
skew: 0.94
deg: 5
c5: 83
c0: 61
# Murphy_E = 1.427e-11
type: snfs
lss: 1
rlim: 16200000
alim: 16200000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 16200000/16200000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 42300000)
Primes: RFBsize:1043113, AFBsize:1042861,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9016439 hash collisions in 63663344 relations (57223780 unique)
Msieve: matrix is 2044456 x 2044681 (578.9 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,201,5,0,0,0,0,0,0,0,0,16200000,16200000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.42 BogoMIPS (lpj=2830711)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830461)
Total of 4 processors activated (22644.16 BogoMIPS).

9337229088177273344243898849707955909527827692205943420355805937527658386374708999247002094092182443151897297346736148336813678285941422990662069827154078694072030217242486491947199261<184>

6838279616602158574804181591412545300534041469<46>
1365435403593046743824336961757087420658574748540736534717334786110782288196760304118989455971446301612130612387117187694619478105970139169<139>

#
# N = 83x10^202+61 = 92(201)9
#
n: 9337229088177273344243898849707955909527827692205943420355805937527658386374708999247002094092182443151897297346736148336813678285941422990662069827154078694072030217242486491947199261
m: 10000000000000000000000000000000000000000
deg: 5
c5: 8300
c0: 61
skew: 0.37
# Murphy_E = 8.915e-12
type: snfs
lss: 1
rlim: 17500000
alim: 17500000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 9337229088177273344243898849707955909527827692205943420355805937527658386374708999247002094092182443151897297346736148336813678285941422990662069827154078694072030217242486491947199261 (184 digits)
Using B1=36370000, B2=192389627446, polynomial Dickson(12), sigma=1:3689005973
Step 1 took 96283ms
Step 2 took 33101ms
********** Factor found in step 2: 6838279616602158574804181591412545300534041469
Found prime factor of 46 digits: 6838279616602158574804181591412545300534041469
Prime cofactor 1365435403593046743824336961757087420658574748540736534717334786110782288196760304118989455971446301612130612387117187694619478105970139169 has 139 digits

34619151953176255891899443532630125258742349315645403093827300356326336438893679380429618125322700901380527369030966112039924861862011624404134405099859888535737255370143051805360559389<185>

14312374275240375985903430949764201285364200203385380837404266037596138024669721448563104143<92>
2418826624249583359736865336567858094934156433154308014007851150639690446296036187804461848723<94>

Number: n
N=34619151953176255891899443532630125258742349315645403093827300356326336438893679380429618125322700901380527369030966112039924861862011624404134405099859888535737255370143051805360559389  ( 185 digits)
SNFS difficulty: 204 digits.
Divisors found:

Tue Sep  7 14:46:00 2021  p92 factor: 14312374275240375985903430949764201285364200203385380837404266037596138024669721448563104143
Tue Sep  7 14:46:00 2021  p94 factor: 2418826624249583359736865336567858094934156433154308014007851150639690446296036187804461848723
Tue Sep  7 14:46:00 2021  elapsed time 02:06:00 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.346).
Factorization parameters were as follows:
#
# N = 83x10^203+61 = 92(202)9
#
n: 34619151953176255891899443532630125258742349315645403093827300356326336438893679380429618125322700901380527369030966112039924861862011624404134405099859888535737255370143051805360559389
m: 10000000000000000000000000000000000000000
deg: 5
c5: 83000
c0: 61
skew: 0.24
# Murphy_E = 8.192e-12
type: snfs
lss: 1
rlim: 18200000
alim: 18200000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18200000/18200000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 43500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9436612 hash collisions in 65869605 relations (57747341 unique)
Msieve: matrix is 2294047 x 2294275 (796.1 MB)

Sieving start time : 2021/09/06 20:46:03
Sieving end time  : 2021/09/07 12:37:45

Total sieving time: 15hrs 51min 42secs.

Total relation processing time: 1hrs 39min 1sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 10min 30sec.

Prototype def-par.txt line would be:
snfs,204,5,0,0,0,0,0,0,0,0,18200000,18200000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116939] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239968K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2736K init, 4964K bss, 487268K reserved, 0K cma-reserved)
[    0.154077] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.20 BogoMIPS (lpj=12798404)
[    0.152034] smpboot: Total of 16 processors activated (102387.23 BogoMIPS)

9451490963931320053016581388635038845078847466317603787228627702534347673936712819122660967156354833021431358848565371563398448228139868027933409322370217844255660430388756197<175>

3445576122406890357171328230124168697<37>
2743080004086233115126169165925929299859699581038249771340423401387197200980747046373938068824075073573693540842127565804645040812018887501<139>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2220675525
Step 1 took 24837ms
Step 2 took 8945ms
********** Factor found in step 2: 3445576122406890357171328230124168697
Found probable prime factor of 37 digits: 3445576122406890357171328230124168697

27514358708564971943297089713042500034418303063467762342072219803171647270591254735330113286502833134353397592688395499484226462611578790920150491321905522115415015541241440327356673659031<188>

7790682738944204218938900102013761628664460522961<49>
14440125735935541225051591765489081287205578534621248243<56>
244575472510221791783769597558872161662759811803344967269072135776429530340630299197<84>

Number: n
N=27514358708564971943297089713042500034418303063467762342072219803171647270591254735330113286502833134353397592688395499484226462611578790920150491321905522115415015541241440327356673659031
  ( 188 digits)
SNFS difficulty: 206 digits.
Divisors found:

Sun Aug 15 18:29:54 2021  found factor: 244575472510221791783769597558872161662759811803344967269072135776429530340630299197
Sun Aug 15 18:32:53 2021  p49 factor: 7790682738944204218938900102013761628664460522961
Sun Aug 15 18:32:53 2021  p56 factor: 14440125735935541225051591765489081287205578534621248243
Sun Aug 15 18:32:53 2021  p84 factor: 244575472510221791783769597558872161662759811803344967269072135776429530340630299197
Sun Aug 15 18:32:53 2021  elapsed time 02:26:10 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 83x10^205+61 = 92(204)9
#
n: 27514358708564971943297089713042500034418303063467762342072219803171647270591254735330113286502833134353397592688395499484226462611578790920150491321905522115415015541241440327356673659031
m: 100000000000000000000000000000000000000000
deg: 5
c5: 83
c0: 61
skew: 0.94
# Murphy_E = 8.792e-12
type: snfs
lss: 1
rlim: 19700000
alim: 19700000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19700000/19700000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 44250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10357034 hash collisions in 69967758 relations (60961743 unique)
Msieve: matrix is 2499183 x 2499409 (858.2 MB)

Sieving start time : 2021/08/14 22:39:50
Sieving end time  : 2021/08/15 16:05:07

Total sieving time: 17hrs 25min 17secs.

Total relation processing time: 2hrs 2min 4sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 1sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19700000,19700000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119240] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239968K/16727236K available (14339K kernel code, 2400K rwdata, 5012K rodata, 2736K init, 4964K bss, 487268K reserved, 0K cma-reserved)
[    0.152638] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.25 BogoMIPS (lpj=12798512)
[    0.150211] smpboot: Total of 16 processors activated (102388.09 BogoMIPS)

9161621315989008748131256840890944684355489158744669200883797354389239825188697335676288459383085431532012349002095422062189853246338338162926053032260110042312552310511<169>

21721299687889699110960042979337<32>

421780530982540510109018122766126228913543298026341291334300541778916266165381594770039569021546640460760819617148972871693610072973192503<138>

GMP-ECM 6.4.3 [configured with GMP 5.0.5] [ECM]
Input number is 9161621315989008748131256840890944684355489158744669200883797354389239825188697335676288459383085431532012349002095422062189853246338338162926053032260110042312552310511 (169 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1453698586
Step 1 took 16880ms
Step 2 took 5959ms
********** Factor found in step 2: 21721299687889699110960042979337
Found probable prime factor of 32 digits: 21721299687889699110960042979337
Composite cofactor 421780530982540510109018122766126228913543298026341291334300541778916266165381594770039569021546640460760819617148972871693610072973192503 has 138 digits

421780530982540510109018122766126228913543298026341291334300541778916266165381594770039569021546640460760819617148972871693610072973192503<138>

16043560766408102966289372581125237500169<41>
26289708196553328790572218635598027457253124494082821397947854800957383068323267562382908756276287<98>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2652801620
Step 1 took 16380ms
Step 2 took 9594ms
********** Factor found in step 2: 16043560766408102966289372581125237500169
Found probable prime factor of 41 digits: 16043560766408102966289372581125237500169
Probable prime cofactor 26289708196553328790572218635598027457253124494082821397947854800957383068323267562382908756276287 has 98 digits

GMP-ECM 6.3

838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383839<207>

1556817417654749960097498421338829638937944856905616560694050241<64>
538524189719570494828268861362191856301840762658118385062467658027429938296019569594141404476688843693697106322551020222480748829291548874142879<144>

Number: n
N=838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383839
  ( 207 digits)
SNFS difficulty: 208 digits.
Divisors found:

Tue Nov 26 11:50:31 2013  prp64 factor: 1556817417654749960097498421338829638937944856905616560694050241
Tue Nov 26 11:50:31 2013  prp144 factor: 538524189719570494828268861362191856301840762658118385062467658027429938296019569594141404476688843693697106322551020222480748829291548874142879
Tue Nov 26 11:50:31 2013  elapsed time 23:03:11 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.095).
Factorization parameters were as follows:
#
#  83*10^207+61 - 92(206)9
#
#  c207, diff: 208.92
#
skew: 0.374
n: 838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383839
m: 100000000000000000000000000000000000000000
deg: 5
c5: 8300
c0: 61
# Murphy_E = 5.489e-12
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 21000000/21000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 24500000)
Primes: RFBsize:1329943, AFBsize:1329448,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 7424515 hash collisions in 49886156 relations (44062718 unique)
Msieve: matrix is 3609752 x 3609977 (1032.8 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 21hrs 49min 38sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 46min 0sec.

Prototype def-par.txt line would be:
snfs,208,5,0,0,0,0,0,0,0,0,21000000,21000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

16105316586010475866521457692798072082804522105563618545610750101175608067849393367891284378655302186301190930243267087707175637347<131>

317152721420233821484173999564913354825135733567861339941913629<63>
50780950306494778774498421787900136684262929154136447463118929359743<68>

N = 16105316586010475866521457692798072082804522105563618545610750101175608067849393367891284378655302186301190930243267087707175637347 (131 digits)
Divisors found:
r1=317152721420233821484173999564913354825135733567861339941913629 (pp63)
r2=50780950306494778774498421787900136684262929154136447463118929359743 (pp68)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 28.47 hours.
Factorization parameters were as follows:
n: 16105316586010475866521457692798072082804522105563618545610750101175608067849393367891284378655302186301190930243267087707175637347
Y0: -48502333499062919970825949
Y1: 52295527108069
c0: 245345701505305093230792725130744000
c1: 200616039290310239585672368920
c2: -22082254361866620534022
c3: -12187557229033431
c4: 621275736
c5: 60
skew: 7057645.47
type: gnfs
Factor base limits: 7500000/7500000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 21049985
Relations: 2587502 relations
Pruned matrix : 1478603 x 1478831
Polynomial selection time: 0.00 hours.
Total sieving time: 26.60 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.69 hours.
time per square root: 0.09 hours.
Prototype def-par.txt line would be: gnfs,130,5,65,2000,1e-05,0.28,250,20,50000,3600,7500000,7500000,28,28,55,55,2.5,2.5,100000
total time: 28.47 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

24603031125064086626826612121603510246760399988056883093550331383585025266464297963889152360348733393216205405610583280437678939254669593396219205564607154460442185883769<170>

221058622516587061975852877678485167079<39>

111296410178336319695055570883653624463213317272751541274283904222776317617233362829313433014584144975121074104525974559369175422111<132>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=811487765
Step 1 took 19380ms
Step 2 took 8211ms
********** Factor found in step 2: 221058622516587061975852877678485167079
Found probable prime factor of 39 digits: 221058622516587061975852877678485167079

111296410178336319695055570883653624463213317272751541274283904222776317617233362829313433014584144975121074104525974559369175422111<132>

23250104297142858463193657730261913790608442440856773257678547<62>
4786920899619931177287925522424454377573807788718679879344141774683013<70>

N = 111296410178336319695055570883653624463213317272751541274283904222776317617233362829313433014584144975121074104525974559369175422111 (132 digits)
Divisors found:
r1=23250104297142858463193657730261913790608442440856773257678547 (pp62)
r2=4786920899619931177287925522424454377573807788718679879344141774683013 (pp70)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 30.22 hours.
Factorization parameters were as follows:
n: 111296410178336319695055570883653624463213317272751541274283904222776317617233362829313433014584144975121074104525974559369175422111
Y0: -26626584055839691808427324
Y1: 168245774020259
c0: 1185566024187080216904434650635625
c1: 9670345508094331364681721215
c2: 27259742694094375021411
c3: 2721683605091821
c4: -32104875764
c5: 8316
skew: 1002003.73
type: gnfs
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 20447188
Relations: 2681796 relations
Pruned matrix : 1529020 x 1529247
Polynomial selection time: 0.00 hours.
Total sieving time: 27.56 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.91 hours.
time per square root: 0.67 hours.
Prototype def-par.txt line would be: gnfs,131,5,65,2000,1e-05,0.28,250,20,50000,3600,8000000,8000000,28,28,55,55,2.5,2.5,100000
total time: 30.22 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

35248079281610987897665124654175014223713840344773365030173439098154315843568985582552847247285822265188192932712175116019431702596921711530412185976969748785139074095755042893<176>

60433536863631284084369198791931488153056127219<47>
85779528013378784623166268544818255539209909292517043<53>
6799450122500345744269382237819906213722102675579657899527818727873633951429<76>

Number: 92229_211
N = 35248079281610987897665124654175014223713840344773365030173439098154315843568985582552847247285822265188192932712175116019431702596921711530412185976969748785139074095755042893 (176 digits)
SNFS difficulty: 213 digits.
Divisors found:
r1=60433536863631284084369198791931488153056127219 (pp47)
r2=85779528013378784623166268544818255539209909292517043 (pp53)
r3=6799450122500345744269382237819906213722102675579657899527818727873633951429 (pp76)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 147.11 hours.
Factorization parameters were as follows:
n: 35248079281610987897665124654175014223713840344773365030173439098154315843568985582552847247285822265188192932712175116019431702596921711530412185976969748785139074095755042893
m: 100000000000000000000000000000000000
deg: 6
c6: 830
c0: 61
skew: 0.65
# Murphy_E = 4.056e-12
type: snfs
lss: 1
rlim: 25000000
alim: 25000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 25000000/25000000
Large primes per side: 3
Large prime bits: 29/29
Sieved rational special-q in [0, 0)
Total raw relations: 44019736
Relations: 7517168 relations
Pruned matrix : 4700712 x 4700937
Total sieving time: 135.39 hours.
Total relation processing time: 0.35 hours.
Matrix solve time: 10.76 hours.
time per square root: 0.60 hours.
Prototype def-par.txt line would be: snfs,213,6,0,0,0,0,0,0,0,0,25000000,25000000,29,29,57,57,2.6,2.6,100000
total time: 147.11 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
processors: 8, speed: 3.19GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

183653391979944912151366806785068773837856868776569394473777333027228255569437696936968817094707999990730465786249644055846340657405177947034761374081758921028654953937624571036044136691129493<192>

97063044643022248844505484186110331767542178124653683866279750297875593196932760746332208730960581406032206596894539043087168579331218360134919038347011304972348127528759602735677933276657926055329<197>

2065250737965335915395748595647634631350847383557325728104676257676457181723514701814038882868421565179632596119729946559126853180966444691642107339883127729438507802929<169>

176709639832545904579764729769043558431<39>
11687255658052468102815166982632463947893993232840877930519244030503188076163076596793150897756518655272649422527317543719479440559<131>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1056391749
Step 1 took 7831ms
Step 2 took 5850ms
********** Factor found in step 2: 176709639832545904579764729769043558431
Found probable prime factor of 39 digits: 176709639832545904579764729769043558431
Probable prime cofactor 11687255658052468102815166982632463947893993232840877930519244030503188076163076596793150897756518655272649422527317543719479440559 has 131 digits

GMP-ECM 6.3

17060557784269377050810022942030496206716778479806782193862389376390745000455574370279346500465488278939303072573365907730886263773300216625898008973567083949982220499255928153090914771<185>

100590948948057457855440957434082198684012824763137564832333714505435379447089008212804562445981139919084862758869773528846894267610860400802513283820850367785801321478918183098048617896571493047<195>

64123216612864116335205199051788576339887<41>
1568713396824159725981370196561221418426229718993013292545244251927091557732735603773737875742642495623549772913930357092207422483965682506576483526690681<154>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1353054157
Step 1 took 99193ms
Step 2 took 32657ms
********** Factor found in step 2: 64123216612864116335205199051788576339887
Found probable prime factor of 41 digits: 64123216612864116335205199051788576339887

288150253547400600905156035274042852287765630016872711528019035143233123253122600661199411046883237898025131304504333642323985232563297337695774988880462734806402354770234758004109732470951251369263574409769<207>

4558103942000882421749930281445771373694641089839353947140114631267353813937230367<82>
63217130897833487083275381214229209168321207771097945434786338438050916876128029258578284852368413931081966501893937742631607<125>

Number: n
N=288150253547400600905156035274042852287765630016872711528019035143233123253122600661199411046883237898025131304504333642323985232563297337695774988880462734806402354770234758004109732470951251369263574409769
  ( 207 digits)
SNFS difficulty: 221 digits.
Divisors found:

Sun Jan 12 14:43:10 2020  p82 factor: 4558103942000882421749930281445771373694641089839353947140114631267353813937230367
Sun Jan 12 14:43:10 2020  p125 factor: 63217130897833487083275381214229209168321207771097945434786338438050916876128029258578284852368413931081966501893937742631607
Sun Jan 12 14:43:10 2020  elapsed time 12:39:37 (Msieve 1.54 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.131).
Factorization parameters were as follows:
#
# N = 83x10^219+61 = 92(218)9
#
n: 288150253547400600905156035274042852287765630016872711528019035143233123253122600661199411046883237898025131304504333642323985232563297337695774988880462734806402354770234758004109732470951251369263574409769
m: 50000000000000000000000000000000000000000000
deg: 5
c5: 1328
c0: 305
skew: 0.75
# Murphy_E = 1.559e-12
type: snfs
lss: 1
rlim: 35000000
alim: 35000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 35000000/35000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 100700000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 10258771 hash collisions in 59182447 relations (50477962 unique)
Msieve: matrix is 5145040 x 5145265 (1817.8 MB)

Sieving start time: 2020/01/09 22:37:13
Sieving end time  : 2020/01/12 02:02:34

Total sieving time: 51hrs 25min 21secs.

Total relation processing time: 12hrs 11min 37sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 34sec.

Prototype def-par.txt line would be:
snfs,221,5,0,0,0,0,0,0,0,0,35000000,35000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.149937] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283572K/16703460K available (12300K kernel code, 2481K rwdata, 4264K rodata, 2428K init, 2388K bss, 419888K reserved, 0K cma-reserved)
[    0.184567] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.57 BogoMIPS (lpj=11977148)
[    0.182215] smpboot: Total of 16 processors activated (95817.18 BogoMIPS)

62297086656516785391244140196731449275798974627251608906155596165004019867292684075623403579694861010347558540955341561779538845544704339771074686574695798746403072087333931516404484305814542751341915035233<206>

167669698040770141009466931538592458901<39>

371546483261207895043224503005112713085002154341210876595393129236566171194472357578645580650450969632996253636726690045189103569128655463745228660239548054557769541533<168>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1866232758
Step 1 took 12059ms
Step 2 took 7285ms
********** Factor found in step 2: 167669698040770141009466931538592458901
Found probable prime factor of 39 digits: 167669698040770141009466931538592458901
Composite cofactor 371546483261207895043224503005112713085002154341210876595393129236566171194472357578645580650450969632996253636726690045189103569128655463745228660239548054557769541533 has 168 digits

GMP-ECM 6.3

371546483261207895043224503005112713085002154341210876595393129236566171194472357578645580650450969632996253636726690045189103569128655463745228660239548054557769541533<168>

318356091911629065668391518596013324579<39>
1167078289691857675968172135213195163707445508015522274351298581900867423190187110274899930430513978907624054138728641961109080127<130>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3486579306
Step 1 took 71276ms
Step 2 took 26927ms
********** Factor found in step 2: 318356091911629065668391518596013324579
Found probable prime factor of 39 digits: 318356091911629065668391518596013324579

11976911976911976911976911976911976911976911976911976911976911976911976911976911976911976911976911976911976911976911976911976911976911976911976911976911976911976911976911976911976911976911976911976911976911976911976911977<221>

185540208957495268905315150753499294728730013<45>

64551571027149829718179119638209799115933141518241998032932616578378405710089320983658123232970607843554717720031165268698869221740381229784478668582805587636822920631992903229<176>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1603133204
Step 1 took 159304ms
Step 2 took 48092ms
********** Factor found in step 2: 185540208957495268905315150753499294728730013
Found probable prime factor of 45 digits: 185540208957495268905315150753499294728730013

64551571027149829718179119638209799115933141518241998032932616578378405710089320983658123232970607843554717720031165268698869221740381229784478668582805587636822920631992903229<176>

50144439333520144108220569042796116911371131783<47>
26230686064152741570679539526707059228545925865119<50>
49076590897155774400996558102200486758567435399196653754947518491137882240847877<80>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=452033981
Step 1 took 86772ms
Step 2 took 29242ms
********** Factor found in step 2: 50144439333520144108220569042796116911371131783
Found probable prime factor of 47 digits: 50144439333520144108220569042796116911371131783
Composite cofactor 1287312648922149264394577129190579825785120787738928317106737670726777612123394775937736494486375773892171809874107379571299502363 has 130 digits

Wed Feb  6 04:32:20 2013  commencing relation filtering
Wed Feb  6 04:32:20 2013  estimated available RAM is 48157.8 MB
Wed Feb  6 04:32:20 2013  commencing duplicate removal, pass 1
Wed Feb  6 04:34:39 2013  found 1433723 hash collisions in 10716160 relations
Wed Feb  6 04:34:59 2013  added 63062 free relations
Wed Feb  6 04:34:59 2013  commencing duplicate removal, pass 2
Wed Feb  6 04:35:03 2013  found 1247735 duplicates and 9531487 unique relations
Wed Feb  6 04:35:03 2013  memory use: 49.3 MB
Wed Feb  6 04:35:03 2013  reading ideals above 100000
Wed Feb  6 04:35:03 2013  commencing singleton removal, initial pass
Wed Feb  6 04:37:26 2013  memory use: 344.5 MB
Wed Feb  6 04:37:26 2013  reading all ideals from disk
Wed Feb  6 04:37:26 2013  memory use: 352.5 MB
Wed Feb  6 04:37:27 2013  keeping 11089698 ideals with weight <= 200, target excess is 50553
Wed Feb  6 04:37:28 2013  commencing in-memory singleton removal
Wed Feb  6 04:37:29 2013  begin with 9531487 relations and 11089698 unique ideals
Wed Feb  6 04:37:38 2013  reduce to 2720658 relations and 3014254 ideals in 30 passes
Wed Feb  6 04:37:38 2013  max relations containing the same ideal: 90
Wed Feb  6 05:06:22 2013  
Wed Feb  6 05:06:22 2013  commencing relation filtering
Wed Feb  6 05:06:22 2013  estimated available RAM is 48157.8 MB
Wed Feb  6 05:06:22 2013  commencing duplicate removal, pass 1
Wed Feb  6 05:08:49 2013  found 1593702 hash collisions in 11473099 relations
Wed Feb  6 05:09:09 2013  added 80 free relations
Wed Feb  6 05:09:09 2013  commencing duplicate removal, pass 2
Wed Feb  6 05:09:13 2013  found 1388450 duplicates and 10084729 unique relations
Wed Feb  6 05:09:13 2013  memory use: 49.3 MB
Wed Feb  6 05:09:13 2013  reading ideals above 720000
Wed Feb  6 05:09:14 2013  commencing singleton removal, initial pass
Wed Feb  6 05:11:37 2013  memory use: 344.5 MB
Wed Feb  6 05:11:37 2013  reading all ideals from disk
Wed Feb  6 05:11:38 2013  memory use: 300.5 MB
Wed Feb  6 05:11:38 2013  commencing in-memory singleton removal
Wed Feb  6 05:11:39 2013  begin with 10084729 relations and 11264039 unique ideals
Wed Feb  6 05:11:46 2013  reduce to 3600167 relations and 3658769 ideals in 21 passes
Wed Feb  6 05:11:46 2013  max relations containing the same ideal: 69
Wed Feb  6 05:40:28 2013  
Wed Feb  6 05:40:28 2013  commencing relation filtering
Wed Feb  6 05:40:28 2013  estimated available RAM is 48157.8 MB
Wed Feb  6 05:40:28 2013  commencing duplicate removal, pass 1
Wed Feb  6 05:43:00 2013  found 1754736 hash collisions in 12163324 relations
Wed Feb  6 05:43:21 2013  added 46 free relations
Wed Feb  6 05:43:21 2013  commencing duplicate removal, pass 2
Wed Feb  6 05:43:25 2013  found 1534687 duplicates and 10628683 unique relations
Wed Feb  6 05:43:25 2013  memory use: 53.3 MB
Wed Feb  6 05:43:25 2013  reading ideals above 720000
Wed Feb  6 05:43:26 2013  commencing singleton removal, initial pass
Wed Feb  6 05:45:57 2013  memory use: 344.5 MB
Wed Feb  6 05:45:57 2013  reading all ideals from disk
Wed Feb  6 05:45:57 2013  memory use: 316.9 MB
Wed Feb  6 05:45:58 2013  commencing in-memory singleton removal
Wed Feb  6 05:45:59 2013  begin with 10628683 relations and 11484691 unique ideals
Wed Feb  6 05:46:10 2013  reduce to 4411570 relations and 4269623 ideals in 20 passes
Wed Feb  6 05:46:10 2013  max relations containing the same ideal: 85
Wed Feb  6 05:46:12 2013  relations with 0 large ideals: 527
Wed Feb  6 05:46:12 2013  relations with 1 large ideals: 2138
Wed Feb  6 05:46:12 2013  relations with 2 large ideals: 31196
Wed Feb  6 05:46:12 2013  relations with 3 large ideals: 190717
Wed Feb  6 05:46:12 2013  relations with 4 large ideals: 627012
Wed Feb  6 05:46:12 2013  relations with 5 large ideals: 1165821
Wed Feb  6 05:46:12 2013  relations with 6 large ideals: 1264536
Wed Feb  6 05:46:12 2013  relations with 7+ large ideals: 1129623
Wed Feb  6 05:46:12 2013  commencing 2-way merge
Wed Feb  6 05:46:15 2013  reduce to 2502096 relation sets and 2360642 unique ideals
Wed Feb  6 05:46:15 2013  ignored 493 oversize relation sets
Wed Feb  6 05:46:15 2013  commencing full merge
Wed Feb  6 05:46:55 2013  memory use: 257.6 MB
Wed Feb  6 05:46:55 2013  found 1205601 cycles, need 1196842
Wed Feb  6 05:46:56 2013  weight of 1196842 cycles is about 84035980 (70.21/cycle)
Wed Feb  6 05:46:56 2013  distribution of cycle lengths:
Wed Feb  6 05:46:56 2013  1 relations: 171277
Wed Feb  6 05:46:56 2013  2 relations: 154460
Wed Feb  6 05:46:56 2013  3 relations: 147050
Wed Feb  6 05:46:56 2013  4 relations: 125569
Wed Feb  6 05:46:56 2013  5 relations: 107481
Wed Feb  6 05:46:56 2013  6 relations: 88001
Wed Feb  6 05:46:56 2013  7 relations: 74547
Wed Feb  6 05:46:56 2013  8 relations: 60839
Wed Feb  6 05:46:56 2013  9 relations: 49038
Wed Feb  6 05:46:56 2013  10+ relations: 218580
Wed Feb  6 05:46:56 2013  heaviest cycle: 27 relations
Wed Feb  6 05:46:56 2013  commencing cycle optimization
Wed Feb  6 05:46:58 2013  start with 6995296 relations
Wed Feb  6 05:47:07 2013  pruned 152904 relations
Wed Feb  6 05:47:07 2013  memory use: 238.4 MB
Wed Feb  6 05:47:07 2013  distribution of cycle lengths:
Wed Feb  6 05:47:07 2013  1 relations: 171277
Wed Feb  6 05:47:07 2013  2 relations: 158132
Wed Feb  6 05:47:07 2013  3 relations: 152163
Wed Feb  6 05:47:07 2013  4 relations: 127731
Wed Feb  6 05:47:07 2013  5 relations: 108913
Wed Feb  6 05:47:07 2013  6 relations: 88462
Wed Feb  6 05:47:07 2013  7 relations: 74487
Wed Feb  6 05:47:07 2013  8 relations: 59886
Wed Feb  6 05:47:07 2013  9 relations: 48111
Wed Feb  6 05:47:07 2013  10+ relations: 207680
Wed Feb  6 05:47:07 2013  heaviest cycle: 27 relations
Wed Feb  6 05:47:09 2013  RelProcTime: 401
Wed Feb  6 05:47:09 2013  
Wed Feb  6 05:47:09 2013  commencing linear algebra
Wed Feb  6 05:47:10 2013  read 1196842 cycles
Wed Feb  6 05:47:12 2013  cycles contain 4072351 unique relations
Wed Feb  6 05:48:04 2013  read 4072351 relations
Wed Feb  6 05:48:09 2013  using 20 quadratic characters above 134217542
Wed Feb  6 05:48:30 2013  building initial matrix
Wed Feb  6 05:49:23 2013  memory use: 526.3 MB
Wed Feb  6 05:49:24 2013  read 1196842 cycles
Wed Feb  6 05:49:24 2013  matrix is 1196624 x 1196842 (365.2 MB) with weight 116194537 (97.08/col)
Wed Feb  6 05:49:24 2013  sparse part has weight 81378961 (67.99/col)
Wed Feb  6 05:49:41 2013  filtering completed in 3 passes
Wed Feb  6 05:49:41 2013  matrix is 1192514 x 1192714 (364.6 MB) with weight 115945796 (97.21/col)
Wed Feb  6 05:49:41 2013  sparse part has weight 81273124 (68.14/col)
Wed Feb  6 05:49:44 2013  matrix starts at (0, 0)
Wed Feb  6 05:49:44 2013  matrix is 1192514 x 1192714 (364.6 MB) with weight 115945796 (97.21/col)
Wed Feb  6 05:49:44 2013  sparse part has weight 81273124 (68.14/col)
Wed Feb  6 05:49:44 2013  saving the first 48 matrix rows for later
Wed Feb  6 05:49:45 2013  matrix includes 64 packed rows
Wed Feb  6 05:49:45 2013  matrix is 1192466 x 1192714 (351.9 MB) with weight 92412029 (77.48/col)
Wed Feb  6 05:49:45 2013  sparse part has weight 80323999 (67.35/col)
Wed Feb  6 05:49:45 2013  using block size 262144 for processor cache size 12288 kB
Wed Feb  6 05:49:48 2013  commencing Lanczos iteration (16 threads)
Wed Feb  6 05:49:49 2013  memory use: 513.5 MB
Wed Feb  6 05:49:55 2013  linear algebra at 0.1%, ETA 1h18m
Wed Feb  6 05:49:57 2013  checkpointing every 920000 dimensions
Wed Feb  6 07:13:47 2013  lanczos halted after 18855 iterations (dim = 1192466)
Wed Feb  6 07:13:49 2013  recovered 31 nontrivial dependencies
Wed Feb  6 07:13:49 2013  BLanczosTime: 5200
Wed Feb  6 07:13:49 2013  
Wed Feb  6 07:13:49 2013  commencing square root phase
Wed Feb  6 07:13:49 2013  reading relations for dependency 1
Wed Feb  6 07:13:49 2013  read 596506 cycles
Wed Feb  6 07:13:50 2013  cycles contain 2037466 unique relations
Wed Feb  6 07:14:17 2013  read 2037466 relations
Wed Feb  6 07:14:28 2013  multiplying 2037466 relations
Wed Feb  6 07:17:10 2013  multiply complete, coefficients have about 95.13 million bits
Wed Feb  6 07:17:11 2013  initial square root is modulo 6739877
Wed Feb  6 07:20:46 2013  sqrtTime: 417

prp80 = 49076590897155774400996558102200486758567435399196653754947518491137882240847877
prp50 = 26230686064152741570679539526707059228545925865119
NFS elapsed time = 38173.6723 seconds.

758617961747378307085277707747330387507206867106218854505669680849513858938123676502349752494548946286072033627443414681240879855652770584457564805806770202695406256213384389553569144236210667203<195>

104708735590788620574290083223838229271189848860253310870769899<63>
7245030297301336433141727668273262063459066318775694645373871597577066832385350823824624766221374351175001549866051819989817992713097<133>

Wed Apr 01 14:05:32 2020 -> Running square root step ...
Wed Apr 01 14:05:32 2020  
Wed Apr 01 14:05:32 2020  
Wed Apr 01 14:05:32 2020  Msieve v. 1.52 (SVN unknown)
Wed Apr 01 14:05:32 2020  random seeds: ef8dc4d0 150b200a
Wed Apr 01 14:05:32 2020  factoring 758617961747378307085277707747330387507206867106218854505669680849513858938123676502349752494548946286072033627443414681240879855652770584457564805806770202695406256213384389553569144236210667203 (195 digits)
Wed Apr 01 14:05:33 2020  no P-1/P+1/ECM available, skipping
Wed Apr 01 14:05:33 2020  commencing number field sieve (195-digit input)
Wed Apr 01 14:05:33 2020  R0: -10000000000000000000000000000000000000000000000000000000
Wed Apr 01 14:05:33 2020  R1: 1
Wed Apr 01 14:05:33 2020  A0: 61
Wed Apr 01 14:05:33 2020  A1: 0
Wed Apr 01 14:05:33 2020  A2: 0
Wed Apr 01 14:05:33 2020  A3: 0
Wed Apr 01 14:05:33 2020  A4: 8300
Wed Apr 01 14:05:33 2020  skew 1.00, size 1.947e-023, alpha 0.404, combined = 8.180e-014 rroots = 0
Wed Apr 01 14:05:33 2020  
Wed Apr 01 14:05:33 2020  commencing square root phase
Wed Apr 01 14:05:33 2020  reading relations for dependency 1
Wed Apr 01 14:05:36 2020  read 4745085 cycles
Wed Apr 01 14:05:42 2020  cycles contain 11152094 unique relations
Wed Apr 01 14:07:52 2020  read 11152094 relations
Wed Apr 01 14:09:08 2020  multiplying 11152094 relations
Wed Apr 01 14:16:00 2020  multiply complete, coefficients have about 436.41 million bits
Wed Apr 01 14:16:03 2020  initial square root is modulo 67692221
Wed Apr 01 14:26:19 2020  sqrtTime: 1246
Wed Apr 01 14:26:19 2020  prp63 factor: 104708735590788620574290083223838229271189848860253310870769899
Wed Apr 01 14:26:19 2020  prp133 factor: 7245030297301336433141727668273262063459066318775694645373871597577066832385350823824624766221374351175001549866051819989817992713097
Wed Apr 01 14:26:19 2020  elapsed time 00:20:47

GGNFS, NFS_factory, Msieve

4074108759921370070774827820389154156811874787881549849902723669460492826857250953514700588555784608319249633438684015297743267212101095551963003741430966545465943143632238683668148411829170673365372205389726697<211>

934488461483147519581967802903433595903130607081446101<54>
4359720775423231033410395905025095505127921599238016165383983358796432440615144765155682077352458327948688430933609435130021304761266814934627440518887564997<157>

Number: n
N=4074108759921370070774827820389154156811874787881549849902723669460492826857250953514700588555784608319249633438684015297743267212101095551963003741430966545465943143632238683668148411829170673365372205389726697  ( 211 digits)
SNFS difficulty: 224 digits.
Divisors found:

Thu Apr 30 23:34:32 2020  p54 factor: 934488461483147519581967802903433595903130607081446101
Thu Apr 30 23:34:32 2020  p157 factor: 4359720775423231033410395905025095505127921599238016165383983358796432440615144765155682077352458327948688430933609435130021304761266814934627440518887564997
Thu Apr 30 23:34:32 2020  elapsed time 16:46:43 (Msieve 1.54 - dependency 3)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.116).
Factorization parameters were as follows:
#
# N = 83x10^223+61 = 92(222)9
#
n: 4074108759921370070774827820389154156811874787881549849902723669460492826857250953514700588555784608319249633438684015297743267212101095551963003741430966545465943143632238683668148411829170673365372205389726697
m: 10000000000000000000000000000000000000
deg: 6
c6: 830
c0: 61
skew: 0.65
# Murphy_E = 1.599e-12
type: snfs
lss: 1
rlim: 39000000
alim: 39000000
lpbr: 29
lpba: 29
mfbr: 59
mfba: 59
rlambda: 2.6
alambda: 2.6
Factor base limits: 39000000/39000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 59/59
Sieved  special-q in [100000, 117100000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9957872 hash collisions in 56734025 relations (48672497 unique)
Msieve: matrix is 5799600 x 5799824 (2069.0 MB)

Sieving start time: 2020/04/27 17:35:24
Sieving end time  : 2020/04/30 06:46:51

Total sieving time: 61hrs 11min 27secs.

Total relation processing time: 15hrs 43min 4sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 42min 20sec.

Prototype def-par.txt line would be:
snfs,224,6,0,0,0,0,0,0,0,0,39000000,39000000,29,29,59,59,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.141282] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283232K/16703460K available (12300K kernel code, 2481K rwdata, 4264K rodata, 2432K init, 2712K bss, 420228K reserved, 0K cma-reserved)
[    0.176568] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.77 BogoMIPS (lpj=11977540)
[    0.174220] smpboot: Total of 16 processors activated (95820.32 BogoMIPS)

203445869336937966503385591626097007914815567134004302084394004747689205080751199593399620615169875777923031274614081776913805034209551743101657587244549808557325708662478840311191298074659285452139310413741<207>

2679736192651983639352374535840102222300351139267<49>

75920111052274542776891077682016895066591917491417346727308031532811323884496736374697933362898185656964464944270704061745625199197993550030294680746648591823<158>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=441651479
Step 1 took 324243ms
Step 2 took 87753ms
********** Factor found in step 2: 2679736192651983639352374535840102222300351139267
Found probable prime factor of 49 digits: 2679736192651983639352374535840102222300351139267

266238119524877225734640787038373573781639834354982020907711603170479004076971685736372938659378799105696533451376258616652392454234308791311014238927862300361506458680164618557759237340056647773383244961523780196374670811<222>

307733207992948916032028685408513179501920405086264067<54>
865158886365547957658312971520672036182587112450259659571750323518192230732023025355749227199675756178004920816309388917873918772433519601112363486799995275439760309833<168>

Number: n
N=266238119524877225734640787038373573781639834354982020907711603170479004076971685736372938659378799105696533451376258616652392454234308791311014238927862300361506458680164618557759237340056647773383244961523780196374670811
  ( 222 digits)
SNFS difficulty: 226 digits.
Divisors found:

Sun Aug  5 01:33:44 2018  p54 factor: 307733207992948916032028685408513179501920405086264067
Sun Aug  5 01:33:44 2018  p168 factor: 865158886365547957658312971520672036182587112450259659571750323518192230732023025355749227199675756178004920816309388917873918772433519601112363486799995275439760309833
Sun Aug  5 01:33:44 2018  elapsed time 21:03:14 (Msieve 1.53 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.121).
Factorization parameters were as follows:
#
# 83x10^225+61 = 92(224)9
#
n: 266238119524877225734640787038373573781639834354982020907711603170479004076971685736372938659378799105696533451376258616652392454234308791311014238927862300361506458680164618557759237340056647773383244961523780196374670811
m: 10000000000000000000000000000000000000
deg: 6
c6: 83000
c0: 61
skew: 0.30
# Murphy_E = 9.197e-13
type: snfs
lss: 1
rlim: 42000000
alim: 42000000
lpbr: 30
lpba: 30
mfbr: 59
mfba: 59
rlambda: 2.7
alambda: 2.7
Factor base limits: 42000000/42000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 59/59
Sieved  special-q in [100000, 136200000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 26631431 hash collisions in 127153554 relations (101857032 unique)
Msieve: matrix is 6768823 x 6769048 (1946.1 MB)

Sieving start time: 2018/07/30 21:04:50
Sieving end time  : 2018/08/04 04:26:16

Total sieving time: 103hrs 21min 26secs.

Total relation processing time: 20hrs 3min 36sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 17min 28sec.

Prototype def-par.txt line would be:
snfs,226,6,0,0,0,0,0,0,0,0,42000000,42000000,30,30,59,59,2.7,2.7,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.036000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16286680K/16703460K available (12300K kernel code, 2470K rwdata, 4240K rodata, 2408K init, 2416K bss, 416780K reserved, 0K cma-reserved)
[    0.068632] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.53 BogoMIPS (lpj=11977072)
[    0.066213] smpboot: Total of 16 processors activated (95816.57 BogoMIPS)

10492142084397417494558084244116758177138543904458200762152384368475113348858385890115422612655612861844132932062213068371208132115588788410763353559606622597144478760970615488209533751838230924026003<200>

62109542438711272871758073583660812699290821404599786718665792826055347453012271845617467004199518163845895091394136224894484298094399112444418956096123982415236585007456092588407<179>

15526663392930914294405097056434708619<38>

4000186058454061093209227020265409610041599998520230187116425269555924849294854479245896615356188601771223616619080896815829156175515854736453<142>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3100731984
Step 1 took 10561ms
Step 2 took 6334ms
********** Factor found in step 2: 15526663392930914294405097056434708619
Found probable prime factor of 38 digits: 15526663392930914294405097056434708619
Composite cofactor 4000186058454061093209227020265409610041599998520230187116425269555924849294854479245896615356188601771223616619080896815829156175515854736453 has 142 digits

GMP-ECM 6.3

4000186058454061093209227020265409610041599998520230187116425269555924849294854479245896615356188601771223616619080896815829156175515854736453<142>

3762804624462939065478467963566728277922031468057043471968960149<64>
1063086303351453762169275443772225373910228958822364322615762297215825079098097<79>

Number: 92229_230
N = 4000186058454061093209227020265409610041599998520230187116425269555924849294854479245896615356188601771223616619080896815829156175515854736453 (142 digits)
Divisors found:
r1=3762804624462939065478467963566728277922031468057043471968960149 (pp64)
r2=1063086303351453762169275443772225373910228958822364322615762297215825079098097 (pp79)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 239.03 hours.
Factorization parameters were as follows:
# Murphy_E = 1.72651199e-11, selected by Maksym Voznyy
# selected by CADO-NFS
n: 4000186058454061093209227020265409610041599998520230187116425269555924849294854479245896615356188601771223616619080896815829156175515854736453
Y0: -1758705113982545260913749529
Y1: 39902227280437218121
c0: -40402693621782965905658303811600
c1: 3454424795977901654459249426
c2: 12095573003100140686289
c3: -47504186076714009
c4: -208109454976
c5: 480240
skew: 300685.12522
type: gnfs
# selected mechanically
rlim: 20000000
alim: 20000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23053621
Relations: 4482930 relations
Pruned matrix : 2726349 x 2726588
Polynomial selection time: 0.00 hours.
Total sieving time: 234.89 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 3.80 hours.
time per square root: 0.17 hours.
Prototype def-par.txt line would be: gnfs,141,5,65,2000,1e-05,0.28,250,20,50000,3600,20000000,20000000,28,28,56,56,2.6,2.6,100000
total time: 239.03 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-8-6.2.9200
processors: 8, speed: 3.50GHz

GGNFS, Msieve

21006501680347896236262886952513714938258564882304331325547149546524346927803121111047069073455245055232923278661643079731553195472138411743240288654731769981556613089643<170>

7750926411953693431947583856405906759811333339373355357448253289628242651597092585719513116931739233427791905275772365176188473065132753229754372361144576781799588157085377226440422819750704669523497<199>

379306248502036572080861384396855599397<39>

20434481220817740201309602703952753053390949302983594632472440212003317601034895420286688010273554183124474084871102710022282439727714007027348715044701828965301<161>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=926561490
Step 1 took 26791ms
Step 2 took 9996ms
********** Factor found in step 2: 379306248502036572080861384396855599397
Found probable prime factor of 39 digits: 379306248502036572080861384396855599397

20434481220817740201309602703952753053390949302983594632472440212003317601034895420286688010273554183124474084871102710022282439727714007027348715044701828965301<161>

1267906615431621904835034229431502863955326743599<49>
16116708416937643167608324306098297110912127659422486383455765559448095761679684226874498827232230510671362251099<113>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1771307366
Step 1 took 247255ms
Step 2 took 59436ms
********** Factor found in step 2: 1267906615431621904835034229431502863955326743599
Found probable prime factor of 49 digits: 1267906615431621904835034229431502863955326743599

7811853666099139482700099138116798880662886061719077757008905837319266677743040679922769592689571914572981341192320253284139388348189160699667627299026487580986312133421244231769712737358074459<193>

165682549701500754343985914891573529753476238426888019343741706036124540399535964665131910317433609070497467192604360522900632476783587489449265452422386090801030894757526160915826951161787607966622486311350366419<213>

97819923559091668381203361304293719283159<41>
1693750553806292930682826718822255634874232882609054246627662856161864970227121887435400849299635665075470774797434100826737616198468569777042990019131015010112730289399141<172>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=900194046
Step 1 took 395299ms
Step 2 took 89472ms
********** Factor found in step 2: 97819923559091668381203361304293719283159
Found probable prime factor of 41 digits: 97819923559091668381203361304293719283159

24383844509833750425843679389532211128811468139388172603850588123815687628228447853482021412400815830674921388341240069602700445106656206263230560999699472735966716723042941528108480855716440048191143947<203>

187335000673781859531368301445211875179357053<45>
130161712558428215221066337333963937974417429552384533714314144816512843185987965038737382261700913345565583377158300950711294349030119557844949143162130216999<159>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4111055351
Step 1 took 98081ms
Step 2 took 33527ms
********** Factor found in step 2: 187335000673781859531368301445211875179357053
Found probable prime factor of 45 digits: 187335000673781859531368301445211875179357053

281982908076483789017744036144685672487782112533810768269423633579384049585183347102987358533998712595471898847040852310278911948901307409234239873903927288962095110583091455180885666483415108654547683400259656993839913<219>

11976911976911976911976911976911976911976911976911976911976911976911976911976911976911976911976911976911976911976911976911976911976911976911976911976911976911976911976911976911976911976911976911976911976911976911976911976911976911976911977<239>

18121002672324574109134225666141532515420848913<47>
45304836027913824514046669181277719265384220207<47>
14588749609856581641720707830397541927293258894600841945167726005811099298114569225119770966814603226860480088448067474584739072393433888901731447<146>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3349003187
Step 1 took 428511ms
Step 2 took 101183ms
********** Factor found in step 2: 18121002672324574109134225666141532515420848913
Found probable prime factor of 47 digits: 18121002672324574109134225666141532515420848913

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2494078919
Step 1 took 306342ms
Step 2 took 81831ms
********** Factor found in step 2: 45304836027913824514046669181277719265384220207
Found probable prime factor of 47 digits: 45304836027913824514046669181277719265384220207

50282423011896044027401058684057944032138571650266718175496150192618543815565148315055299993928972943022724987809708079631929222538912432785326953589161808129057673025023845666702676757103415013088747947741836404633104604467431775041<233>

280760629818888937261248653510717893769022249296275413511116161616187471793491928962921213614992083555537553985184503820542531438996448420571861631471284177067035651388602559912964667128492185261421297<201>

123058902069657319533894759690308533960217<42>

2281514178145070521863474647457712282932370266571588530649337055721281638252208032829034183159363179406068239981247737667394592836323128156664585852643085977241<160>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=703424972
Step 1 took 137158ms
Step 2 took 41708ms
********** Factor found in step 2: 123058902069657319533894759690308533960217
Found probable prime factor of 42 digits: 123058902069657319533894759690308533960217

2281514178145070521863474647457712282932370266571588530649337055721281638252208032829034183159363179406068239981247737667394592836323128156664585852643085977241<160>

36222493360283738373113210213782370126824568341111199<53>
62986116263510550994994968859938956724256406168281644367231634417584141612105589842697674521962946464783559<107>

GMP-ECM 7.0.5-dev [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is 2281514178145070521863474647457712282932370266571588530649337055721281638252208032829034183159363179406068239981247737667394592836323128156664585852643085977241 (160 digits)
[Mon Apr 19 00:34:30 2021]
Using MODMULN [mulredc:0, sqrredc:0]
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=0:4847646786476538369
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+07 3.6e+08
Writing checkpoint to checkpnt at p = 42828629
Writing checkpoint to checkpnt at p = 85550513
Writing checkpoint to checkpnt at p = 110000000
Step 1 took 1543906ms
Using 20 small primes for NTT
Estimated memory usage: 472.20MB
Initializing tables of differences for F took 1078ms
Computing roots of F took 47141ms
Building F from its roots took 23547ms
Computing 1/F took 8969ms
Initializing table of differences for G took 844ms
Computing roots of G took 39188ms
Building G from its roots took 24187ms
Computing roots of G took 39172ms
Building G from its roots took 24109ms
Computing G * H took 5140ms
Reducing  G * H mod F took 5375ms
Computing roots of G took 39375ms
Building G from its roots took 24000ms
Computing G * H took 5234ms
Reducing  G * H mod F took 5297ms
Computing roots of G took 39141ms
Building G from its roots took 23890ms
Computing G * H took 5125ms
Reducing  G * H mod F took 5406ms
Computing polyeval(F,G) took 43344ms
Computing product of all F(g_i) took 219ms
Step 2 took 412234ms
********** Factor found in step 2: 36222493360283738373113210213782370126824568341111199
Found prime factor of 53 digits: 36222493360283738373113210213782370126824568341111199
Prime cofactor 62986116263510550994994968859938956724256406168281644367231634417584141612105589842697674521962946464783559 has 107 digits
Peak memory usage: 451MB

GMP-ECM 7.0.5-dev

922222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229<243>

9301209716271853432267352262074040496745633341115591963<55>

99150782570664461047229345146766726118050600541685457325296114914380046280541434869200923947042480949777363675896071946847256068054189231263977870170258943595500226088807382852817747111183<188>

Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=1549422828
Step 1 took 840247ms
Step 2 took 218371ms
********** Factor found in step 2: 9301209716271853432267352262074040496745633341115591963
Found probable prime factor of 55 digits: 9301209716271853432267352262074040496745633341115591963
Composite cofactor

1084819566297377670478814735951831804476008051295264113851704910643764225465326969126695050120930305873403115252145597776411172161490725940377095430233180432319841575658800092133793125380245667562948793205251976244056145597013<226>

259285225098599085968292670330577<33>
4183885008815486624095783450230268110228691055662912555544546552022121727928808663599138200878842314401601353792073966439546703485902895655312611075388614211443358544963751160160629219710233669<193>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2054968629
Step 1 took 11513ms
Step 2 took 6599ms
********** Factor found in step 2: 259285225098599085968292670330577
Found probable prime factor of 33 digits: 259285225098599085968292670330577
Probable prime cofactor 4183885008815486624095783450230268110228691055662912555544546552022121727928808663599138200878842314401601353792073966439546703485902895655312611075388614211443358544963751160160629219710233669 has 193 digits

GMP-ECM 6.3

302707256410943866655675664017314589385373575034214582848926506539989621022715877367638864881903280815384614060516746316962363387814078604320166237731372312152356018313276556038418707104090274449588493323593967927<213>

937770561319330560274115675772466733952296226387525252159657430844692059027441995396402527518020892412435598097124864431394014074931636832476126334564727160758926171496390910035162451402597630114165785953<204>

1637529202028665875957084029258582611148429020576619803934880080283913629291680430296902392546566842097340299422017298266612205996675342217461944561192384842090592889938959422006644462165272507843814200886045349023467352077202833383238515460219<244>

282683925874758422629326362274749<33>

5792792062588533213084036258247509348763177838222216825844899209656984101395988505276676787203867676681013844330226993054589422536247104297259297644462203420135767435894098967985499337573811812578181468813307031<211>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1223865552
Step 1 took 12994ms
Step 2 took 7161ms
********** Factor found in step 2: 282683925874758422629326362274749
Found probable prime factor of 33 digits: 282683925874758422629326362274749
Composite cofactor 5792792062588533213084036258247509348763177838222216825844899209656984101395988505276676787203867676681013844330226993054589422536247104297259297644462203420135767435894098967985499337573811812578181468813307031 has 211 digits

GMP-ECM 6.3

380227719488103870577155957884814389794387156642312974142087367088679556694568070382191708760972775765029868159138181637945884783774259714555568749270972778504854612596327321435219424830474691100792767341615751525217941917369860203570012557<240>

1797367448082821262554283783730209383<37>

211547015549701487449960191309311808686911655513644108699719764150599172277544549293262188170720077401476065752938689246795657132202125332610997478798583171317853637999865043042947908903545733765648051179<204>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1428003735
Step 1 took 35032ms
Step 2 took 12591ms
********** Factor found in step 2: 1797367448082821262554283783730209383
Found probable prime factor of 37 digits: 1797367448082821262554283783730209383

7918239432597494515352033772854116267360608772266782518094941684804269744610660216970874365875173174094010686345958246916373641464874698286584374100857901304516740011689093907809352384957943009829434345643365238557<214>

31306260943799995292188861046963639890319137698623013010682645923830858545353825875337803908687257553940326987940811180431792869092509729994568477035128348304420056390070415115902006206761990522629614441<203>

838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383839<255>

582761347144753043884297833912282355829994800581329253566722466010150135864640236951616051259053292196776867135699716840664852157585428551182063200569512571394430446921632366071176536284124363274365719189497730474905107<219>

1365458886617607239087887744325629961079825779264976409766075546268400216682638142165785676683662777982988043101979129245747952373012641736516605811549067097264510593438971027340009269803100423308018763556680911064885063101697992760980313417<241>

1357244182676109068842164618479446515288901670571136763913739739902116396569140765804771195985889804091716127280778306974305255469690329639063668067592855793176304193685060638119202401834621454569437171128829111264466959032395729251711<235>

33999798063030844164560886657893106940261338858800280588873054173193843760723816528268780816029889275351000945157638519612625771563017181105786052347494635042136698976400021<173>

22078171370512180005392248449352405589<38>

1539973464851409953841180460945297234405232251177936238457796551563358821865191058884449309429449995126627058786159871159147973989703489<136>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3508022999
Step 1 took 6016ms
Step 2 took 3453ms
********** Factor found in step 2: 22078171370512180005392248449352405589
Found prime factor of 38 digits: 22078171370512180005392248449352405589
Composite cofactor 1539973464851409953841180460945297234405232251177936238457796551563358821865191058884449309429449995126627058786159871159147973989703489 has 136 digits
 

GMP-ECM

1539973464851409953841180460945297234405232251177936238457796551563358821865191058884449309429449995126627058786159871159147973989703489<136>

49067795068858355141064725159748488960872238169459059<53>
31384607005273367974031012714107781511762797489604671055994132221348555541053691771<83>

1539973464851409953841180460945297234405232251177936238457796551563358821865191058884449309429449995126627058786159871159147973989703489=49067795068858355141064725159748488960872238169459059*31384607005273367974031012714107781511762797489604671055994132221348555541053691771

cado polynomial
n: 1539973464851409953841180460945297234405232251177936238457796551563358821865191058884449309429449995126627058786159871159147973989703489
skew: 100172.959
c0: 1796081435803624962828287251980
c1: -76288534409230159682867641
c2: -1249398674283291772320
c3: -29339784385962617
c4: 112351547022
c5: 575640
Y0: -109193360941257995562159422
Y1: 20001671317872366121
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.151e-07
# f(x) = 575640*x^5+112351547022*x^4-29339784385962617*x^3-1249398674283291772320*x^2-76288534409230159682867641*x+1796081435803624962828287251980
# g(x) = 20001671317872366121*x-109193360941257995562159422

cado parameters (extracts)
tasks.I = 13
tasks.lim0 = 3341873
tasks.lim1 = 16407032
tasks.lpb0 = 27
tasks.lpb1 = 28
tasks.sieve.mfb0 = 51
tasks.sieve.mfb1 = 62
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 31384607005273367974031012714107781511762797489604671055994132221348555541053691771 49067795068858355141064725159748488960872238169459059
Info:Square Root: Total cpu/real time for sqrt: 1035.03/276.094
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 77.11/118.683
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 118.5s
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 53042.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 53839/39.980/48.587/53.230/0.957
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 43930/39.430/43.450/49.220/1.107
Info:Polynomial Selection (size optimized): Total time: 10222.2
Info:Generate Factor Base: Total cpu/real time for makefb: 15.19/6.98425
Info:Square Root: Total cpu/real time for sqrt: 1035.03/276.094
Info:Quadratic Characters: Total cpu/real time for characters: 50.22/20.8416
Info:Filtering - Singleton removal: Total cpu/real time for purge: 75.81/50.2879
Info:Filtering - Merging: Merged matrix has 1456286 rows and total weight 249165835 (171.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 370.64/165.213
Info:Filtering - Merging: Total cpu/real time for replay: 58.51/52.7936
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 6532.69
Info:Polynomial Selection (root optimized): Rootsieve time: 6530.56
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 195.49/213.271
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 195.8s
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 17020974
Info:Lattice Sieving: Average J: 3774.52 for 721893 special-q, max bucket fill -bkmult 1.0,1s:1.161600
Info:Lattice Sieving: Total time: 227880s
Info:Generate Free Relations: Total cpu/real time for freerel: 249.3/96.1084
Info:Linear Algebra: Total cpu/real time for bwc: 12008.3/3122.71
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Lingen CPU time 285.57, WCT time 72.57
Info:Linear Algebra: Mksol: CPU time 11720.1,  WCT time 3048.68, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (22784 iterations)
Warning:Linear Algebra: some stats could not be displayed for linalg (see log file for debug info)
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 450270/42330.5
31384607005273367974031012714107781511762797489604671055994132221348555541053691771 49067795068858355141064725159748488960872238169459059

cado-nfs-3.0.0

4 x Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

59833773309149005249422010471064985030456765961060180761740973458100682151932517325512696055874127435111189835134886780806575588521475321845366928393777208057650637755307014059057079751<185>

322776437206475098178294341706236931899<39>

185372184621005235367521731496136824197939576078548338872704061493222857302514852783249503944856577951375298921634537623940604603536129230342853349<147>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3520482375
Step 1 took 6000ms
********** Factor found in step 2: 322776437206475098178294341706236931899
Found prime factor of 39 digits: 322776437206475098178294341706236931899
Composite cofactor 185372184621005235367521731496136824197939576078548338872704061493222857302514852783249503944856577951375298921634537623940604603536129230342853349 has 147 digits
 

GMP-ECM

185372184621005235367521731496136824197939576078548338872704061493222857302514852783249503944856577951375298921634537623940604603536129230342853349<147>

116781369649575542312794434041680370683021613<45>
1587343813291874639794581860462021645182520522285141994498795559552091004734439960604448870891982181273<103>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:1515691761
Step 1 took 84078ms
Step 2 took 31984ms
********** Factor found in step 2: 116781369649575542312794434041680370683021613
Found prime factor of 45 digits: 116781369649575542312794434041680370683021613
Prime cofactor 1587343813291874639794581860462021645182520522285141994498795559552091004734439960604448870891982181273 has 103 digits
 

GMP-ECM

2234251596789881720255281878881777846657518258359330292362328178016616552750807293964288487500356696415787842757508551131493824578342203471848630704031865584725718806932684095630248943797509<190>

118588061930863488463887656472834356329450864690821302393571359252735072943876818709362999806344296617420230950332371228892456652794518429858162518809695442276759462915068699719008272854139466101503<198>

54971446023279875235821204683728161<35>
2157266553996825774538141209844869028023014960113591260138080513574184018450970985426541035000407864053899727631169950722786449740588211350208961817028605025825823<163>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4009093396
Step 1 took 9890ms
Step 2 took 4469ms
********** Factor found in step 2: 54971446023279875235821204683728161
Found prime factor of 35 digits: 54971446023279875235821204683728161
Prime cofactor 2157266553996825774538141209844869028023014960113591260138080513574184018450970985426541035000407864053899727631169950722786449740588211350208961817028605025825823 has 163 digits

GMP-ECM

329363940920129699161790520781348653186457069615723819898975701890106984686748539367139078793442057289592475392507138060228083213949284850394697113707734148139026037027932696621694161134096347311710133215685339846456983933<222>