102419310192105408846813929026186126335603166694347561313181642030670431268338592703316171178652494048607651<108>

505369802553764846673838941782548409521033834688263<51>
202662109359431525611400798119443766430885086684555327877<57>

N=102419310192105408846813929026186126335603166694347561313181642030670431268338592703316171178652494048607651
  ( 108 digits)
SNFS difficulty: 111 digits.
Divisors found:
 r1=505369802553764846673838941782548409521033834688263 (pp51)
 r2=202662109359431525611400798119443766430885086684555327877 (pp57)
Version: Msieve v. 1.52 (SVN 927)
Total time: 0.36 hours.
Scaled time: 2.86 units (timescale=7.862).
Factorization parameters were as follows:
n: 102419310192105408846813929026186126335603166694347561313181642030670431268338592703316171178652494048607651
m: 1000000000000000000000000000
deg: 4
c4: 1850
c0: 13
skew: 0.29
# Murphy_E = 9.402e-08
type: snfs
lss: 1
rlim: 500000
alim: 500000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2Factor base limits: 500000/500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [250000, 490001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 55594 x 55819
Total sieving time: 0.36 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,111.000,4,0,0,0,0,0,0,0,0,500000,500000,25,25,44,44,2.2,2.2,20000
total time: 0.36 hours.

GNFS, Msieve

186651550182814465096988823308969654504340377710579348842510664433313502621421786566222149809<93>

277022994677564441537828709869218876937<39>
673776378744529594216901238439844435511627022802321257<54>

prp54 = 673776378744529594216901238439844435511627022802321257
prp39 = 277022994677564441537828709869218876937

Yafu

899780991027337949369072834660537750399890414391693576711287359374135562352553391207560462769953<96>

3129721640915408297316837555659567<34>
287495532913962966079662332669617439340406161567355463288016559<63>

prp34 = 3129721640915408297316837555659567
prp63 = 287495532913962966079662332669617439340406161567355463288016559

Yafu

2926195375388538393705643659361278865646487458738609129913188308658390679110100074131829015539<94>

9903377558312534899757074410822649<34>
295474484150348931432806945020233173294074986969948787073611<60>

prp34 = 9903377558312534899757074410822649
prp60 = 295474484150348931432806945020233173294074986969948787073611

Yafu

9059679241187517171381861215406617402049601904201446909171050996584453298549632507002423575127487907217571<106>

785854530800919391457730250328396320317544766728507<51>
11528443097419268603493002437681674943100971113917108153<56>

Mon May  9 20:29:14 2022  Msieve v. 1.53 (SVN unknown)
Mon May  9 20:29:14 2022  random seeds: ea060610 8b103e29
Mon May  9 20:29:14 2022  factoring 9059679241187517171381861215406617402049601904201446909171050996584453298549632507002423575127487907217571 (106 digits)
Mon May  9 20:29:14 2022  searching for 15-digit factors
Mon May  9 20:29:15 2022  commencing number field sieve (106-digit input)
Mon May  9 20:29:15 2022  R0: -1000000000000000000000000000000000
Mon May  9 20:29:15 2022  R1: 1
Mon May  9 20:29:15 2022  A0: 13
Mon May  9 20:29:15 2022  A1: 0
Mon May  9 20:29:15 2022  A2: 0
Mon May  9 20:29:15 2022  A3: 0
Mon May  9 20:29:15 2022  A4: 1850
Mon May  9 20:29:15 2022  skew 0.29, size 2.934e-14, alpha -0.254, combined = 6.760e-09 rroots = 0
Mon May  9 20:29:15 2022  
Mon May  9 20:29:15 2022  commencing square root phase
Mon May  9 20:29:15 2022  reading relations for dependency 1
Mon May  9 20:29:15 2022  read 88587 cycles
Mon May  9 20:29:15 2022  cycles contain 282892 unique relations
Mon May  9 20:29:17 2022  read 282892 relations
Mon May  9 20:29:18 2022  multiplying 282892 relations
Mon May  9 20:29:21 2022  multiply complete, coefficients have about 8.47 million bits
Mon May  9 20:29:21 2022  initial square root is modulo 73973
Mon May  9 20:29:24 2022  sqrtTime: 9
Mon May  9 20:29:24 2022  p51 factor: 785854530800919391457730250328396320317544766728507
Mon May  9 20:29:24 2022  p56 factor: 11528443097419268603493002437681674943100971113917108153
Mon May  9 20:29:24 2022  elapsed time 00:00:10
Mon May 09 20:29:24 2022 -> Computing time scale for this machine...
Mon May 09 20:29:24 2022 -> procrels -speedtest> PIPE

9871041512264902471442009765394689593094326071981768986681563935803014562720864553836927192798514968500706179645485545860592081077<130>

2183143717872368094142295426802875433433<40>
4521480391535994897387689562845403160748628111786400838025642738789366374680130305367697469<91>

Mon May  9 21:45:33 2022  Msieve v. 1.53 (SVN unknown)
Mon May  9 21:45:33 2022  random seeds: a20b2338 3576c1db
Mon May  9 21:45:33 2022  factoring 9871041512264902471442009765394689593094326071981768986681563935803014562720864553836927192798514968500706179645485545860592081077 (130 digits)
Mon May  9 21:45:33 2022  searching for 15-digit factors
Mon May  9 21:45:34 2022  commencing number field sieve (130-digit input)
Mon May  9 21:45:34 2022  R0: -1000000000000000000000000000
Mon May  9 21:45:34 2022  R1: 1
Mon May  9 21:45:34 2022  A0: 26
Mon May  9 21:45:34 2022  A1: 0
Mon May  9 21:45:34 2022  A2: 0
Mon May  9 21:45:34 2022  A3: 0
Mon May  9 21:45:34 2022  A4: 0
Mon May  9 21:45:34 2022  A5: 37
Mon May  9 21:45:34 2022  skew 0.93, size 1.912e-09, alpha -1.048, combined = 6.488e-09 rroots = 1
Mon May  9 21:45:34 2022  
Mon May  9 21:45:34 2022  commencing square root phase
Mon May  9 21:45:34 2022  reading relations for dependency 1
Mon May  9 21:45:34 2022  read 66297 cycles
Mon May  9 21:45:34 2022  cycles contain 208972 unique relations
Mon May  9 21:45:36 2022  read 208972 relations
Mon May  9 21:45:36 2022  multiplying 208972 relations
Mon May  9 21:45:38 2022  multiply complete, coefficients have about 5.16 million bits
Mon May  9 21:45:38 2022  initial square root is modulo 872951
Mon May  9 21:45:41 2022  sqrtTime: 7
Mon May  9 21:45:41 2022  p40 factor: 2183143717872368094142295426802875433433
Mon May  9 21:45:41 2022  p91 factor: 4521480391535994897387689562845403160748628111786400838025642738789366374680130305367697469
Mon May  9 21:45:41 2022  elapsed time 00:00:08
Mon May 09 21:45:41 2022 -> Computing time scale for this machine...
Mon May 09 21:45:41 2022 -> procrels -speedtest> PIPE

14877914419981798271836802296136941867689965744239620945757919473528184951436450823490932082376002917712415094555483111<119>

28285707776989267416059496994054088823492601795063<50>
525986994466694743418812665745752384739883263507461582220711330974097<69>

N=14877914419981798271836802296136941867689965744239620945757919473528184951436450823490932082376002917712415094555483111
  ( 119 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=28285707776989267416059496994054088823492601795063 (pp50)
 r2=525986994466694743418812665745752384739883263507461582220711330974097 (pp69)
Version: Msieve v. 1.52 (SVN 927)
Total time: 4.98 hours.
Scaled time: 38.85 units (timescale=7.800).
Factorization parameters were as follows:
n: 14877914419981798271836802296136941867689965744239620945757919473528184951436450823490932082376002917712415094555483111
m: 10000000000000000000000000000000000
deg: 4
c4: 185
c0: 13
skew: 0.51
# Murphy_E = 4.418e-09
type: snfs
lss: 1
rlim: 1410000
alim: 1410000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1410000/1410000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [705000, 1205001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 203105 x 203330
Total sieving time: 4.95 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,138.000,4,0,0,0,0,0,0,0,0,1410000,1410000,26,26,48,48,2.3,2.3,100000
total time: 4.98 hours.

GNFS, Msieve

76182644985499591890835620815496168840135815140095988222469406785354138788138715659097055215697965203748177173193<113>

22602363533085558353323932662063681721775589<44>
3370560997923190612814016161920010216816775324808545959244942893007637<70>

N=76182644985499591890835620815496168840135815140095988222469406785354138788138715659097055215697965203748177173193
  ( 113 digits)
SNFS difficulty: 139 digits.
Divisors found:
 r1=22602363533085558353323932662063681721775589 (pp44)
 r2=3370560997923190612814016161920010216816775324808545959244942893007637 (pp70)
Version: Msieve v. 1.52 (SVN 927)
Total time: 4.98 hours.
Scaled time: 39.12 units (timescale=7.862).
Factorization parameters were as follows:
n: 76182644985499591890835620815496168840135815140095988222469406785354138788138715659097055215697965203748177173193
m: 10000000000000000000000000000000000
deg: 4
c4: 1850
c0: 13
skew: 0.29
# Murphy_E = 4.284e-09
type: snfs
lss: 1
rlim: 1470000
alim: 1470000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1470000/1470000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [735000, 1235001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 217734 x 217959
Total sieving time: 4.93 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,139.000,4,0,0,0,0,0,0,0,0,1470000,1470000,26,26,48,48,2.3,2.3,100000
total time: 4.98 hours.

GNFS, Msieve

309430896485098499454219060344422813334257714501808362380184414064399613973021567368297994339314092247372380628417576735107477623<129>

107660717078586976214261220220803145739306506177257736381<57>
2874129997287955213233958479217632518509346835494018704528123940670518083<73>

N=309430896485098499454219060344422813334257714501808362380184414064399613973021567368297994339314092247372380628417576735107477623
  ( 129 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=107660717078586976214261220220803145739306506177257736381 (pp57)
 r2=2874129997287955213233958479217632518509346835494018704528123940670518083 (pp73)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.48 hours.
Scaled time: 19.36 units (timescale=7.813).
Factorization parameters were as follows:
n: 309430896485098499454219060344422813334257714501808362380184414064399613973021567368297994339314092247372380628417576735107477623
m: 10000000000000000000000000000
deg: 5
c5: 37
c0: 26
skew: 0.93
# Murphy_E = 4.244e-09
type: snfs
lss: 1
rlim: 1600000
alim: 1600000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1600000/1600000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [800000, 1300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 233696 x 233944
Total sieving time: 2.42 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,141.000,5,0,0,0,0,0,0,0,0,1600000,1600000,26,26,48,48,2.3,2.3,100000
total time: 2.48 hours.

GNFS, Msieve

3499140258215393865987356752013115964121040378620667556484969486830733808013693531694566938749629720544975254264858909217768849573<130>

52949126421242596271296807918521027521<38>
66084947849329918297090866147507744215579956029711619802584540027431420205324979094981475813<92>

N=3499140258215393865987356752013115964121040378620667556484969486830733808013693531694566938749629720544975254264858909217768849573
  ( 130 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=52949126421242596271296807918521027521 (pp38)
 r2=66084947849329918297090866147507744215579956029711619802584540027431420205324979094981475813 (pp92)
Version: Msieve v. 1.52 (SVN 927)
Total time: 3.17 hours.
Scaled time: 25.03 units (timescale=7.893).
Factorization parameters were as follows:
n: 3499140258215393865987356752013115964121040378620667556484969486830733808013693531694566938749629720544975254264858909217768849573
m: 10000000000000000000000000000
deg: 5
c5: 185
c0: 13
skew: 0.59
# Murphy_E = 3.062e-09
type: snfs
lss: 1
rlim: 1650000
alim: 1650000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1650000/1650000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [825000, 1525001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 266088 x 266333
Total sieving time: 3.11 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,142.000,5,0,0,0,0,0,0,0,0,1650000,1650000,26,26,48,48,2.3,2.3,100000
total time: 3.17 hours.

GNFS, Msieve

3666258728597722643662470287229344990905931526579437425139766080725445140301757051863968556420226245463842500673408103762349<124>

69722691045824492037031825527674299<35>
250969942183014632434511428835651161878973<42>
209520855337052112957863923457297498028323373187<48>

N=3666258728597722643662470287229344990905931526579437425139766080725445140301757051863968556420226245463842500673408103762349
  ( 124 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=69722691045824492037031825527674299 (pp35)
 r2=250969942183014632434511428835651161878973 (pp42)
 r3=209520855337052112957863923457297498028323373187 (pp48)
Version: Msieve v. 1.52 (SVN 927)
Total time: 3.83 hours.
Scaled time: 30.23 units (timescale=7.886).
Factorization parameters were as follows:
n: 3666258728597722643662470287229344990905931526579437425139766080725445140301757051863968556420226245463842500673408103762349
m: 100000000000000000000000000000
deg: 5
c5: 37
c0: 26
skew: 0.93
# Murphy_E = 2.761e-09
type: snfs
lss: 1
rlim: 1940000
alim: 1940000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1940000/1940000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [970000, 1770001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 248799 x 249025
Total sieving time: 3.79 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,146.000,5,0,0,0,0,0,0,0,0,1940000,1940000,26,26,49,49,2.3,2.3,100000
total time: 3.83 hours.

GNFS, Msieve

1856434088983611010454586688215909236862285637158168640442736691859045654322045615308988114279747091004062767528496493181023355169<130>

7964863965802835652591584732610668090449093469177<49>
233077940433661597388226763752452586323763746564718740848567357367869437878485097<81>

Thu May 12 13:29:16 2022  Msieve v. 1.53 (SVN unknown)
Thu May 12 13:29:16 2022  random seeds: 7c405018 434e5654
Thu May 12 13:29:16 2022  factoring 1856434088983611010454586688215909236862285637158168640442736691859045654322045615308988114279747091004062767528496493181023355169 (130 digits)
Thu May 12 13:29:17 2022  searching for 15-digit factors
Thu May 12 13:29:17 2022  commencing number field sieve (130-digit input)
Thu May 12 13:29:17 2022  R0: -100000000000000000000000000000
Thu May 12 13:29:17 2022  R1: 1
Thu May 12 13:29:17 2022  A0: 13
Thu May 12 13:29:17 2022  A1: 0
Thu May 12 13:29:17 2022  A2: 0
Thu May 12 13:29:17 2022  A3: 0
Thu May 12 13:29:17 2022  A4: 0
Thu May 12 13:29:17 2022  A5: 1850
Thu May 12 13:29:17 2022  skew 0.37, size 1.327e-10, alpha 0.281, combined = 1.468e-09 rroots = 1
Thu May 12 13:29:17 2022  
Thu May 12 13:29:17 2022  commencing square root phase
Thu May 12 13:29:17 2022  reading relations for dependency 1
Thu May 12 13:29:17 2022  read 145218 cycles
Thu May 12 13:29:17 2022  cycles contain 435368 unique relations
Thu May 12 13:29:20 2022  read 435368 relations
Thu May 12 13:29:21 2022  multiplying 435368 relations
Thu May 12 13:29:27 2022  multiply complete, coefficients have about 13.20 million bits
Thu May 12 13:29:27 2022  initial square root is modulo 38606671
Thu May 12 13:29:35 2022  sqrtTime: 18
Thu May 12 13:29:35 2022  p49 factor: 7964863965802835652591584732610668090449093469177
Thu May 12 13:29:35 2022  p81 factor: 233077940433661597388226763752452586323763746564718740848567357367869437878485097
Thu May 12 13:29:35 2022  elapsed time 00:00:19
Thu May 12 13:29:35 2022 -> Computing time scale for this machine...
Thu May 12 13:29:35 2022 -> procrels -speedtest> PIPE

294319464579603914283618053168754904814548573773869490605693639518746588582929733160593983491252366443086893<108>

62762478259158254054052000307125652374626663123<47>
4689417510957783719331485924036498807591059899899446391284991<61>

294319464579603914283618053168754904814548573773869490605693639518746588582929733160593983491252366443086893=62762478259158254054052000307125652374626663123*4689417510957783719331485924036498807591059899899446391284991

cado polynomial
n: 294319464579603914283618053168754904814548573773869490605693639518746588582929733160593983491252366443086893
skew: 2940.978
c0: -31337383064806983137628
c1: -25607613446927048006
c2: 30087885920286911
c3: 3842206167415
c4: -1028162532
c5: 146160
Y0: -475040143995325286955
Y1: 74618316732223
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 1.963e-06
# f(x) = 146160*x^5-1028162532*x^4+3842206167415*x^3+30087885920286911*x^2-25607613446927048006*x-31337383064806983137628
# g(x) = 74618316732223*x-475040143995325286955

cado parameters (extracts)
tasks.lim0 = 1400000
tasks.lim1 = 2500000
tasks.lpb0 = 25
tasks.lpb1 = 26
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 52
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 62762478259158254054052000307125652374626663123 4689417510957783719331485924036498807591059899899446391284991
Info:Square Root: Total cpu/real time for sqrt: 84.68/25.0359
Info:Filtering - Singleton removal: Total cpu/real time for purge: 46.05/51.6946
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 4848145
Info:Lattice Sieving: Average J: 1890.79 for 61115 special-q, max bucket fill -bkmult 1.0,1s:1.297140
Info:Lattice Sieving: Total time: 6169.81s
Info:Generate Factor Base: Total cpu/real time for makefb: 2.26/0.614114
Info:Linear Algebra: Total cpu/real time for bwc: 948.56/245.58
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 567.01, WCT time 144.98, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8704 iterations)
Info:Linear Algebra: Lingen CPU time 43.07, WCT time 10.96
Info:Linear Algebra: Mksol: CPU time 316.74,  WCT time 80.99, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4352 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 63.21/16.5352
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 18.56/19.9361
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 19.3s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 239.85
Info:Polynomial Selection (root optimized): Rootsieve time: 238.81
Info:Filtering - Merging: Total cpu/real time for merge: 42.41/12.7829
Info:Filtering - Merging: Total cpu/real time for replay: 9.2/7.51394
Info:Quadratic Characters: Total cpu/real time for characters: 10.58/4.08479
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 11711.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11669/31.820/38.038/43.120/1.033
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 8913/30.290/33.745/38.550/0.855
Info:Polynomial Selection (size optimized): Total time: 737.87
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 65.76/70.7309
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 51.300000000000004s
Info:Square Root: Total cpu/real time for sqrt: 84.68/25.0359
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 13388.8/3776.98
Info:root: Cleaning up computation data in /tmp/cado.picdo3tw
62762478259158254054052000307125652374626663123 4689417510957783719331485924036498807591059899899446391284991

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

14524602459158653807443004721692451512158151068695492854942710069934737925409411453967300935054892841027187628351461<116>

233714911270285781194662287845903650679<39>
62146665697171943474498143431652231602537097348059274053351034768566903126659<77>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3161612005
Step 1 took 3578ms
Step 2 took 2782ms
********** Factor found in step 2: 233714911270285781194662287845903650679
Found prime factor of 39 digits: 233714911270285781194662287845903650679
Prime cofactor 62146665697171943474498143431652231602537097348059274053351034768566903126659 has 77 digits

GMP-ECM

18035890957642476438722702185797551849751964766752305342635553304438071093388089646798601199293582509013233430771876235072169313947952983767743<143>

1077125280127733059020327833942547065653873170841<49>
16744469088594461528528242153235659910946372505704113057733320012026328667027114815719114022423<95>

N=18035890957642476438722702185797551849751964766752305342635553304438071093388089646798601199293582509013233430771876235072169313947952983767743
  ( 143 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=1077125280127733059020327833942547065653873170841 (pp49)
 r2=16744469088594461528528242153235659910946372505704113057733320012026328667027114815719114022423 (pp95)
Version: Msieve v. 1.52 (SVN 927)
Total time: 14.63 hours.
Scaled time: 114.76 units (timescale=7.843).
Factorization parameters were as follows:
n: 18035890957642476438722702185797551849751964766752305342635553304438071093388089646798601199293582509013233430771876235072169313947952983767743
m: 10000000000000000000000000000000
deg: 5
c5: 1850
c0: 13
skew: 0.37
# Murphy_E = 6.106e-10
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1500000, 2700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 567353 x 567578
Total sieving time: 14.52 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,158.000,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 14.63 hours.

GNFS, Msieve

8389643162295785764444946582376811241910570373090223546821160758920760237720241855471611223742064770616841435108731<115>

81490764961699574375476680583875030590754179010185158871<56>
102952072743934775547444362179396024111856948715551272945661<60>

N=8389643162295785764444946582376811241910570373090223546821160758920760237720241855471611223742064770616841435108731
  ( 115 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=81490764961699574375476680583875030590754179010185158871 (pp56)
 r2=102952072743934775547444362179396024111856948715551272945661 (pp60)
Version: Msieve v. 1.52 (SVN 927)
Total time: 14.72 hours.
Scaled time: 114.81 units (timescale=7.800).
Factorization parameters were as follows:
n: 8389643162295785764444946582376811241910570373090223546821160758920760237720241855471611223742064770616841435108731
m: 50000000000000000000000000000000
deg: 5
c5: 296
c0: 65
skew: 0.74
# Murphy_E = 6.059e-10
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1700000, 2800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 586875 x 587102
Total sieving time: 14.60 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,160.000,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 14.72 hours.

GNFS, Msieve

52838354595015961367314153290515815529171280133353039469082726421281977697227562680404958747625662124204732424101780745945213943683048038921177550543720521<155>

295153532846852434298677856899400554765597355212959644306783144497990613<72>
179019895460415927222467037769790231772725905601355006453830797204925639019058327717<84>

Sun May  8 12:20:09 2022  Msieve v. 1.53 (SVN unknown)
Sun May  8 12:20:09 2022  random seeds: 4a14b8e0 db734633
Sun May  8 12:20:09 2022  factoring 52838354595015961367314153290515815529171280133353039469082726421281977697227562680404958747625662124204732424101780745945213943683048038921177550543720521 (155 digits)
Sun May  8 12:20:10 2022  searching for 15-digit factors
Sun May  8 12:20:11 2022  commencing number field sieve (155-digit input)
Sun May  8 12:20:11 2022  R0: -100000000000000000000000000000000
Sun May  8 12:20:11 2022  R1: 1
Sun May  8 12:20:11 2022  A0: 13
Sun May  8 12:20:11 2022  A1: 0
Sun May  8 12:20:11 2022  A2: 0
Sun May  8 12:20:11 2022  A3: 0
Sun May  8 12:20:11 2022  A4: 0
Sun May  8 12:20:11 2022  A5: 1850
Sun May  8 12:20:11 2022  skew 0.37, size 1.327e-11, alpha 0.281, combined = 3.908e-10 rroots = 1
Sun May  8 12:20:11 2022  
Sun May  8 12:20:11 2022  commencing square root phase
Sun May  8 12:20:11 2022  reading relations for dependency 1
Sun May  8 12:20:11 2022  read 330757 cycles
Sun May  8 12:20:11 2022  cycles contain 1123654 unique relations
Sun May  8 12:20:24 2022  read 1123654 relations
Sun May  8 12:20:30 2022  multiplying 1123654 relations
Sun May  8 12:21:07 2022  multiply complete, coefficients have about 35.56 million bits
Sun May  8 12:21:07 2022  initial square root is modulo 127541
Sun May  8 12:21:55 2022  GCD is 1, no factor found
Sun May  8 12:21:55 2022  reading relations for dependency 2
Sun May  8 12:21:56 2022  read 330043 cycles
Sun May  8 12:21:56 2022  cycles contain 1122534 unique relations
Sun May  8 12:22:09 2022  read 1122534 relations
Sun May  8 12:22:14 2022  multiplying 1122534 relations
Sun May  8 12:22:50 2022  multiply complete, coefficients have about 35.52 million bits
Sun May  8 12:22:50 2022  initial square root is modulo 125921
Sun May  8 12:23:40 2022  sqrtTime: 209
Sun May  8 12:23:40 2022  p72 factor: 295153532846852434298677856899400554765597355212959644306783144497990613
Sun May  8 12:23:40 2022  p84 factor: 179019895460415927222467037769790231772725905601355006453830797204925639019058327717
Sun May  8 12:23:40 2022  elapsed time 00:03:31

83520167661019886946441826417331284302464958875309874951650251442229337852585143091552045598555274981239914153796384803116052825173119005559<140>

175904522087116707847946642968191662381016147055901038359087939773<66>
474803982694978853931690511253790947204438463221069845026731780715491682883<75>

Number: n
N=83520167661019886946441826417331284302464958875309874951650251442229337852585143091552045598555274981239914153796384803116052825173119005559  ( 140 digits)
SNFS difficulty: 165 digits.
Divisors found:

Wed Jun  8 15:04:02 2022  p66 factor: 175904522087116707847946642968191662381016147055901038359087939773
Wed Jun  8 15:04:02 2022  p75 factor: 474803982694978853931690511253790947204438463221069845026731780715491682883
Wed Jun  8 15:04:02 2022  elapsed time 00:08:14 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.332).
Factorization parameters were as follows:
#
# N = 37x10^164+26 = 41(163)4
#
n: 83520167661019886946441826417331284302464958875309874951650251442229337852585143091552045598555274981239914153796384803116052825173119005559
m: 500000000000000000000000000000000
deg: 5
c5: 296
c0: 65
skew: 0.74
# Murphy_E = 3.868e-10
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4100000/4100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1080137 hash collisions in 11551119 relations (11186747 unique)
Msieve: matrix is 531996 x 532222 (183.7 MB)

Sieving start time : 2022/06/08 14:23:21
Sieving end time  : 2022/06/08 14:55:22

Total sieving time: 0hrs 32min 1secs.

Total relation processing time: 0hrs 4min 7sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 35sec.

Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119995] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154118] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.10 BogoMIPS (lpj=12798204)
[    0.152030] smpboot: Total of 16 processors activated (102385.63 BogoMIPS)

13724040509545324088764176368684232865475138801982940538629878899765629853928451307686318372414871339260580032818391601712923943505638403728047<143>

28672653748291910681725641159865208558821629422234749571<56>
478645633223359856675689250030047618791996646825804687581740880300064469631270243827557<87>

Number: n
N=13724040509545324088764176368684232865475138801982940538629878899765629853928451307686318372414871339260580032818391601712923943505638403728047  ( 143 digits)
SNFS difficulty: 166 digits.
Divisors found:

Sat May 14 22:40:02 2022  p56 factor: 28672653748291910681725641159865208558821629422234749571
Sat May 14 22:40:02 2022  p87 factor: 478645633223359856675689250030047618791996646825804687581740880300064469631270243827557
Sat May 14 22:40:02 2022  elapsed time 00:08:19 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.861).
Factorization parameters were as follows:
#
# N = 37x10^165+26 = 41(164)4
#
n: 13724040509545324088764176368684232865475138801982940538629878899765629853928451307686318372414871339260580032818391601712923943505638403728047
m: 1000000000000000000000000000000000
deg: 5
c5: 37
c0: 26
skew: 0.93
# Murphy_E = 4.7e-10
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1571462 hash collisions in 15211914 relations (14609443 unique)
Msieve: matrix is 466998 x 467225 (161.0 MB)

Sieving start time : 2022/05/14 22:02:54
Sieving end time  : 2022/05/14 22:31:12

Total sieving time: 0hrs 28min 18secs.

Total relation processing time: 0hrs 3min 28sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 10sec.

Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119221] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153514] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152035] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

28488401777846226410796190419160920780983379306688880937353293555755510370072184711108351188390150978989305300896002167719<122>

383518463550662149213016127078251212239609269<45>
74281695629714985190035634089056568151826366555918251718714681679639936755051<77>

28488401777846226410796190419160920780983379306688880937353293555755510370072184711108351188390150978989305300896002167719=383518463550662149213016127078251212239609269*74281695629714985190035634089056568151826366555918251718714681679639936755051

cado polynomial
n: 28488401777846226410796190419160920780983379306688880937353293555755510370072184711108351188390150978989305300896002167719
skew: 0.59
type: snfs
c0: 13
c5: 185
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 185*x^5+13
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 4300000
tasks.lim1 = 4300000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 51
tasks.sieve.mfb1 = 51
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 383518463550662149213016127078251212239609269 74281695629714985190035634089056568151826366555918251718714681679639936755051
Info:Square Root: Total cpu/real time for sqrt: 484.36/368.5
Info:Filtering - Singleton removal: Total cpu/real time for purge: 67.26/102.947
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11651702
Info:Lattice Sieving: Average J: 1892.81 for 351514 special-q, max bucket fill -bkmult 1.0,1s:1.254330
Info:Lattice Sieving: Total time: 83796.3s
Info:Linear Algebra: Total cpu/real time for bwc: 4714.13/4164.29
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 2625.28, WCT time 2295.89, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.02, comm-wait 0.0 (16896 iterations)
Info:Linear Algebra: Lingen CPU time 572.57, WCT time 518.06
Info:Linear Algebra: Mksol: CPU time 1436.18,  WCT time 1281.3, iteration CPU time 0.12, COMM 0.01, cpu-wait 0.02, comm-wait 0.0 (8448 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 59.31/17.0287
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 46.93/81.6772
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 81.5s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 107.98/158.961
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 148.0s
Info:Filtering - Merging: Merged matrix has 537961 rows and total weight 91857229 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 120.39/91.4712
Info:Filtering - Merging: Total cpu/real time for replay: 19.75/22.2492
Info:Generate Factor Base: Total cpu/real time for makefb: 1.85/1.0072
Info:Quadratic Characters: Total cpu/real time for characters: 17.75/14.9619
Info:Square Root: Total cpu/real time for sqrt: 484.36/368.5
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 89024.6/47226.5
Info:root: Cleaning up computation data in /tmp/cado.ubpkogvn
383518463550662149213016127078251212239609269 74281695629714985190035634089056568151826366555918251718714681679639936755051

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

53116379099286093859177339065907925494017519998787583729912006860584129495044315218083675470734233430325075300348771696696370983046166796818285157<146>

872585463683158515085912130528050904281<39>
60872408847018105115448055387444184730167465297156732165371109593739482233601173544573578818667230646757997<107>

Number: n
N=53116379099286093859177339065907925494017519998787583729912006860584129495044315218083675470734233430325075300348771696696370983046166796818285157  ( 146 digits)
SNFS difficulty: 169 digits.
Divisors found:

Mon May  9 23:57:10 2022  p39 factor: 872585463683158515085912130528050904281
Mon May  9 23:57:10 2022  p107 factor: 60872408847018105115448055387444184730167465297156732165371109593739482233601173544573578818667230646757997
Mon May  9 23:57:10 2022  elapsed time 00:11:45 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 37x10^168+26 = 41(167)4
#
n: 53116379099286093859177339065907925494017519998787583729912006860584129495044315218083675470734233430325075300348771696696370983046166796818285157
m: 1000000000000000000000000000000000
deg: 5
c5: 18500
c0: 13
skew: 0.23
# Murphy_E = 2.138e-10
type: snfs
lss: 1
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1867021 hash collisions in 15868974 relations (14962897 unique)
Msieve: matrix is 690849 x 691074 (237.5 MB)

Sieving start time : 2022/05/09 22:07:24
Sieving end time  : 2022/05/09 23:45:09

Total sieving time: 1hrs 37min 45secs.

Total relation processing time: 0hrs 7min 1sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 49sec.

Prototype def-par.txt line would be:
snfs,169,5,0,0,0,0,0,0,0,0,4600000,4600000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118092] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154093] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798652)
[    0.152020] smpboot: Total of 16 processors activated (102389.21 BogoMIPS)

6897176638195062984252309931351695596303132862026008211486127582336825882681998303295849922529004764522359788433053587759129<124>

15972664485713676053188237348655999956917931<44>
431811276344285498640068941371637576889836103088877460277844784302753522665565259<81>

6897176638195062984252309931351695596303132862026008211486127582336825882681998303295849922529004764522359788433053587759129=15972664485713676053188237348655999956917931*431811276344285498640068941371637576889836103088877460277844784302753522665565259

cado polynomial
n: 6897176638195062984252309931351695596303132862026008211486127582336825882681998303295849922529004764522359788433053587759129
skew: 0.93
type: snfs
c0: 26
c5: 37
Y0: 10000000000000000000000000000000000
Y1: -1
# f(x) = 37*x^5+26
# g(x) = -x+10000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 5100000
tasks.lim1 = 5100000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 15972664485713676053188237348655999956917931 431811276344285498640068941371637576889836103088877460277844784302753522665565259
Info:Square Root: Total cpu/real time for sqrt: 149.3/74.5663
Info:Filtering - Singleton removal: Total cpu/real time for purge: 57.01/91.3055
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11644700
Info:Lattice Sieving: Average J: 1893.07 for 318029 special-q, max bucket fill -bkmult 1.0,1s:1.174710
Info:Lattice Sieving: Total time: 89750.2s
Info:Generate Free Relations: Total cpu/real time for freerel: 59.8/42.1421
Info:Linear Algebra: Total cpu/real time for bwc: 6746.48/3699.05
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 4190.2, WCT time 2344.23, iteration CPU time 0.08, COMM 0.01, cpu-wait 0.02, comm-wait 0.0 (20480 iterations)
Info:Linear Algebra: Lingen CPU time 168.42, WCT time 83.09
Info:Linear Algebra: Mksol: CPU time 2286.12,  WCT time 1185.63, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (10240 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 47.05/82.469
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 82.2s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 110.44/162.667
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 152.0s
Info:Filtering - Merging: Merged matrix has 654361 rows and total weight 111706180 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 150.14/114.411
Info:Filtering - Merging: Total cpu/real time for replay: 25.53/28.397
Info:Generate Factor Base: Total cpu/real time for makefb: 2.19/2.82526
Info:Quadratic Characters: Total cpu/real time for characters: 23.36/13.4989
Info:Square Root: Total cpu/real time for sqrt: 149.3/74.5663
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 89551.7/49584.4
Info:root: Cleaning up computation data in /tmp/cado.rmny32xd
15972664485713676053188237348655999956917931 431811276344285498640068941371637576889836103088877460277844784302753522665565259

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

23488119856081918058320274558428184596877975579131140072412701160087855564754417195266513312417851194782577<107>

6156274198623795368362026631892715308891<40>
3815314116666955967755803086763759663524026770522886223092681651747<67>

23488119856081918058320274558428184596877975579131140072412701160087855564754417195266513312417851194782577=6156274198623795368362026631892715308891*3815314116666955967755803086763759663524026770522886223092681651747

cado polynomial
n: 23488119856081918058320274558428184596877975579131140072412701160087855564754417195266513312417851194782577
skew: 3479.634
c0: 39322073876383916190720
c1: 20725591410835198866
c2: -8777957665119497
c3: -1257395457911
c4: 420572736
c5: -81360
Y0: -322059241581840209849
Y1: 8646075484039
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 2.988e-06
# f(x) = -81360*x^5+420572736*x^4-1257395457911*x^3-8777957665119497*x^2+20725591410835198866*x+39322073876383916190720
# g(x) = 8646075484039*x-322059241581840209849

cado parameters (extracts)
tasks.lim0 = 1000000
tasks.lim1 = 1600000
tasks.lpb0 = 25
tasks.lpb1 = 26
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 52
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 3815314116666955967755803086763759663524026770522886223092681651747 6156274198623795368362026631892715308891
Info:Square Root: Total cpu/real time for sqrt: 70.95/21.0868
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 60.04/59.7326
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 46.0s
Info:Square Root: Total cpu/real time for sqrt: 70.95/21.0868
Info:Filtering - Singleton removal: Total cpu/real time for purge: 36.58/42.525
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 4957659
Info:Lattice Sieving: Average J: 1896.23 for 56871 special-q, max bucket fill -bkmult 1.0,1s:1.347040
Info:Lattice Sieving: Total time: 5253.79s
Info:Generate Factor Base: Total cpu/real time for makefb: 1.48/0.405479
Info:Linear Algebra: Total cpu/real time for bwc: 712.94/185.38
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 423.49, WCT time 108.68, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7552 iterations)
Info:Linear Algebra: Lingen CPU time 33.21, WCT time 8.51
Info:Linear Algebra: Mksol: CPU time 238.22,  WCT time 61.05, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3840 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 63.15/16.233
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 18.8/19.3684
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 18.9s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 154.85
Info:Polynomial Selection (root optimized): Rootsieve time: 154.25
Info:Filtering - Merging: Merged matrix has 239549 rows and total weight 34908253 (145.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 31.4/9.63219
Info:Filtering - Merging: Total cpu/real time for replay: 7.71/6.1458
Info:Quadratic Characters: Total cpu/real time for characters: 9.17/3.51922
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 9952.64
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 9911/30.850/37.716/47.580/1.105
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 7683/30.420/33.427/38.100/0.874
Info:Polynomial Selection (size optimized): Total time: 495.43
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 11098.9/3174.19
Info:root: Cleaning up computation data in /tmp/cado.kzidyazm
3815314116666955967755803086763759663524026770522886223092681651747 6156274198623795368362026631892715308891

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

292091723255642456143476653366052913910297461959537140579556901208177711683548055147796675453415746827818900683434914461847824288988296526805199969301191<153>

612702795532328882614133116674358339941646490829823814580154733658719861231<75>
476726604457332556284935833497748700159471292115233442851661099962230714453161<78>

Number: n
N=292091723255642456143476653366052913910297461959537140579556901208177711683548055147796675453415746827818900683434914461847824288988296526805199969301191  ( 153 digits)
SNFS difficulty: 174 digits.
Divisors found:

Wed May 11 16:09:07 2022  p75 factor: 612702795532328882614133116674358339941646490829823814580154733658719861231
Wed May 11 16:09:07 2022  p78 factor: 476726604457332556284935833497748700159471292115233442851661099962230714453161
Wed May 11 16:09:07 2022  elapsed time 00:17:08 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.347).
Factorization parameters were as follows:
#
# N = 37x10^173+26 = 41(172)4
#
n: 292091723255642456143476653366052913910297461959537140579556901208177711683548055147796675453415746827818900683434914461847824288988296526805199969301191
m: 10000000000000000000000000000000000
deg: 5
c5: 18500
c0: 13
skew: 0.23
# Murphy_E = 1.355e-10
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2041028 hash collisions in 14652360 relations (13374841 unique)
Msieve: matrix is 805880 x 806106 (279.6 MB)

Sieving start time : 2022/05/11 14:41:10
Sieving end time  : 2022/05/11 15:51:42

Total sieving time: 1hrs 10min 32secs.

Total relation processing time: 0hrs 9min 29sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 1sec.

Prototype def-par.txt line would be:
snfs,174,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119221] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153514] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152035] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

29664692761975315768628224431840958762870067042205642064213637099787215960566804086351515384751065122819845519108070880977235154424769537407177572850873184240191008551449<170>

164888381965787461651049448948615331075456691906969<51>
179907719442176438600240024660450103179276379892469562435523759330990499055890717223819207065171746019401759324385057921<120>

Number: n
N=29664692761975315768628224431840958762870067042205642064213637099787215960566804086351515384751065122819845519108070880977235154424769537407177572850873184240191008551449  ( 170 digits)
SNFS difficulty: 175 digits.
Divisors found:

Wed May 11 09:14:02 2022  p51 factor: 164888381965787461651049448948615331075456691906969
Wed May 11 09:14:02 2022  p120 factor: 179907719442176438600240024660450103179276379892469562435523759330990499055890717223819207065171746019401759324385057921
Wed May 11 09:14:02 2022  elapsed time 00:16:54 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.328).
Factorization parameters were as follows:
#
# N = 37x10^174+26 = 41(173)4
#
n: 29664692761975315768628224431840958762870067042205642064213637099787215960566804086351515384751065122819845519108070880977235154424769537407177572850873184240191008551449
m: 50000000000000000000000000000000000
deg: 5
c5: 296
c0: 65
skew: 0.74
# Murphy_E = 1.553e-10
type: snfs
lss: 1
rlim: 6000000
alim: 6000000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved  special-q in [100000, 44600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3195430 hash collisions in 28597179 relations (27077781 unique)
Msieve: matrix is 805889 x 806114 (271.6 MB)

Sieving start time : 2022/05/11 03:58:13
Sieving end time  : 2022/05/11 08:55:31

Total sieving time: 4hrs 57min 18secs.

Total relation processing time: 0hrs 9min 23sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 43sec.

Prototype def-par.txt line would be:
snfs,175,5,0,0,0,0,0,0,0,0,6000000,6000000,28,28,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119221] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153514] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152035] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

17344250273218818155286166535366004463191235172189497840828346392616262025307792471639103840401396577782540415150099485682040141345326929273616235868303326374070102084507<170>

63276455152400101760225165238681121362399228702232819<53>
274102748509623862298576669172559868254061796730558734548749585738217630142620999678348937276979401929126449296032953<117>

Number: n
N=17344250273218818155286166535366004463191235172189497840828346392616262025307792471639103840401396577782540415150099485682040141345326929273616235868303326374070102084507  ( 170 digits)
SNFS difficulty: 176 digits.
Divisors found:

Thu May 12 16:30:53 2022  p53 factor: 63276455152400101760225165238681121362399228702232819
Thu May 12 16:30:53 2022  p117 factor: 274102748509623862298576669172559868254061796730558734548749585738217630142620999678348937276979401929126449296032953
Thu May 12 16:30:53 2022  elapsed time 00:15:20 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.328).
Factorization parameters were as follows:
#
# N = 37x10^175+26 = 41(174)4
#
n: 17344250273218818155286166535366004463191235172189497840828346392616262025307792471639103840401396577782540415150099485682040141345326929273616235868303326374070102084507
m: 100000000000000000000000000000000000
deg: 5
c5: 37
c0: 26
skew: 0.93
# Murphy_E = 1.883e-10
type: snfs
lss: 1
rlim: 6100000
alim: 6100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6100000/6100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 15850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4025167 hash collisions in 31965810 relations (29771049 unique)
Msieve: matrix is 703392 x 703627 (240.4 MB)

Sieving start time : 2022/05/12 15:06:33
Sieving end time  : 2022/05/12 16:15:04

Total sieving time: 1hrs 8min 31secs.

Total relation processing time: 0hrs 7min 14sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 37sec.

Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,6100000,6100000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119221] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153514] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152035] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

5023888253458635166657560978155082897751752073977940339187307887837105306780482749180568419006272593267337<106>

45287148072664921423966634063770442289444549981151<50>
110934083228151587855436403313046759606657966319017627287<57>

5023888253458635166657560978155082897751752073977940339187307887837105306780482749180568419006272593267337=45287148072664921423966634063770442289444549981151*110934083228151587855436403313046759606657966319017627287

cado polynomial
n: 5023888253458635166657560978155082897751752073977940339187307887837105306780482749180568419006272593267337
skew: 6162.388
c0: -790616144970509133025944
c1: -210166033656197930858
c2: 8923550309112409
c3: 1015429710273
c4: -1145543555
c5: 109200
Y0: -188151028538501810873
Y1: 439259611543969
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 2.897e-06
# f(x) = 109200*x^5-1145543555*x^4+1015429710273*x^3+8923550309112409*x^2-210166033656197930858*x-790616144970509133025944
# g(x) = 439259611543969*x-188151028538501810873

cado parameters (extracts)
tasks.lim0 = 1000000
tasks.lim1 = 1600000
tasks.lpb0 = 25
tasks.lpb1 = 26
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 52
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 45287148072664921423966634063770442289444549981151 110934083228151587855436403313046759606657966319017627287
Info:Square Root: Total cpu/real time for sqrt: 72.94/21.8172
Info:Filtering - Singleton removal: Total cpu/real time for purge: 29.48/33.7534
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 4783354
Info:Lattice Sieving: Average J: 1901.29 for 50925 special-q, max bucket fill -bkmult 1.0,1s:1.325350
Info:Lattice Sieving: Total time: 4791.83s
Info:Generate Factor Base: Total cpu/real time for makefb: 1.53/0.415539
Info:Linear Algebra: Total cpu/real time for bwc: 697.36/182.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 415.89, WCT time 107.41, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7552 iterations)
Info:Linear Algebra: Lingen CPU time 33.04, WCT time 8.45
Info:Linear Algebra: Mksol: CPU time 230.47,  WCT time 59.3, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3840 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 62.58/16.3083
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 18.11/18.5787
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 18.3s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 156.24
Info:Polynomial Selection (root optimized): Rootsieve time: 155.63
Info:Filtering - Merging: Merged matrix has 238730 rows and total weight 34853598 (146.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 32/9.86748
Info:Filtering - Merging: Total cpu/real time for replay: 7.76/6.19247
Info:Quadratic Characters: Total cpu/real time for characters: 9.15/3.50207
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 9952.64
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 9883/31.270/37.422/43.270/1.056
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 7619/29.930/33.181/37.900/0.874
Info:Polynomial Selection (size optimized): Total time: 491.78
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 52.7/57.1826
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 41.400000000000006s
Info:Square Root: Total cpu/real time for sqrt: 72.94/21.8172
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 10228.2/2944.37
Info:root: Cleaning up computation data in /tmp/cado.x8njz8o5
45287148072664921423966634063770442289444549981151 110934083228151587855436403313046759606657966319017627287

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

10108670934925584105486166315355779592581447009949272734334045698896964954190022840370655670192841761868192293277126584221702954830123128409206320991746367807<158>

70186369347886808578661634154340887089471134028025153077419<59>
144026126851223696773207766686365129711577584607926682536064390278103508327101638877393889157163453<99>

Number: n
N=10108670934925584105486166315355779592581447009949272734334045698896964954190022840370655670192841761868192293277126584221702954830123128409206320991746367807  ( 158 digits)
SNFS difficulty: 180 digits.
Divisors found:

Sat May 14 05:54:18 2022  p59 factor: 70186369347886808578661634154340887089471134028025153077419
Sat May 14 05:54:18 2022  p99 factor: 144026126851223696773207766686365129711577584607926682536064390278103508327101638877393889157163453
Sat May 14 05:54:18 2022  elapsed time 00:17:27 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 37x10^179+26 = 41(178)4
#
n: 10108670934925584105486166315355779592581447009949272734334045698896964954190022840370655670192841761868192293277126584221702954830123128409206320991746367807
m: 500000000000000000000000000000000000
deg: 5
c5: 296
c0: 65
skew: 0.74
# Murphy_E = 9.777e-11
type: snfs
lss: 1
rlim: 7300000
alim: 7300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7300000/7300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 9250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3048396 hash collisions in 29890554 relations (28720197 unique)
Msieve: matrix is 799434 x 799663 (272.8 MB)

Sieving start time : 2022/05/14 03:20:49
Sieving end time  : 2022/05/14 05:36:22

Total sieving time: 2hrs 15min 33secs.

Total relation processing time: 0hrs 9min 14sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 52sec.

Prototype def-par.txt line would be:
snfs,180,5,0,0,0,0,0,0,0,0,7300000,7300000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119221] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153514] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152035] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

2771872524550439617922089880099889209467459279884605559581534521753929865926063740778581628354955118643330353<109>

3776343532211340176346201729677728151175773<43>
734009631514454573450605896829308160408340861433950024180151263461<66>

2771872524550439617922089880099889209467459279884605559581534521753929865926063740778581628354955118643330353=3776343532211340176346201729677728151175773*734009631514454573450605896829308160408340861433950024180151263461

cado polynomial
n: 2771872524550439617922089880099889209467459279884605559581534521753929865926063740778581628354955118643330353
skew: 12705.213
c0: -32893623582571776221620602
c1: -3139230356954026404895
c2: 447609580871816636
c3: 11864167759391
c4: -1550912370
c5: 105840
Y0: -1020040167021441665688
Y1: 274705440789667
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 1.920e-06
# f(x) = 105840*x^5-1550912370*x^4+11864167759391*x^3+447609580871816636*x^2-3139230356954026404895*x-32893623582571776221620602
# g(x) = 274705440789667*x-1020040167021441665688

cado parameters (extracts)
tasks.lim0 = 1400000
tasks.lim1 = 2500000
tasks.lpb0 = 25
tasks.lpb1 = 26
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 52
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 3776343532211340176346201729677728151175773 734009631514454573450605896829308160408340861433950024180151263461
Info:Square Root: Total cpu/real time for sqrt: 78.27/23.241
Info:Filtering - Singleton removal: Total cpu/real time for purge: 56.85/65.1223
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 4925100
Info:Lattice Sieving: Average J: 1900.1 for 64562 special-q, max bucket fill -bkmult 1.0,1s:1.302230
Info:Lattice Sieving: Total time: 6549.01s
Info:Generate Factor Base: Total cpu/real time for makefb: 2.37/0.645303
Info:Linear Algebra: Total cpu/real time for bwc: 915.1/247.25
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 539.89, WCT time 144.27, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8576 iterations)
Info:Linear Algebra: Lingen CPU time 42.6, WCT time 10.83
Info:Linear Algebra: Mksol: CPU time 311.4,  WCT time 83.69, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4352 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 62.77/16.5896
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 19.48/20.8825
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 20.0s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 217.87
Info:Polynomial Selection (root optimized): Rootsieve time: 216.92
Info:Filtering - Merging: Merged matrix has 271020 rows and total weight 42224530 (155.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 42.22/12.6914
Info:Filtering - Merging: Total cpu/real time for replay: 8.99/7.2831
Info:Quadratic Characters: Total cpu/real time for characters: 10.05/3.92459
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 11711.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11548/31.150/38.452/43.320/1.077
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 8914/30.900/34.086/38.960/0.874
Info:Polynomial Selection (size optimized): Total time: 706.27
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 78.51/86.0061
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 61.000000000000014s
Info:Square Root: Total cpu/real time for sqrt: 78.27/23.241
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 13998/3958.47
Info:root: Cleaning up computation data in /tmp/cado.6v0tf5ya
3776343532211340176346201729677728151175773 734009631514454573450605896829308160408340861433950024180151263461

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

7108754114507700686885613668348742308372755211906803320598871512927371775562620158287267305875189360924124122521<112>

18650957676272256779902997735719814387<38>
381146868589566085066124696389983024349605494952018109343377502457747273283<75>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1408559812
Step 1 took 3532ms
Step 2 took 2625ms
********** Factor found in step 2: 18650957676272256779902997735719814387
Found prime factor of 38 digits: 18650957676272256779902997735719814387
Prime cofactor 381146868589566085066124696389983024349605494952018109343377502457747273283 has 75 digits
 

GMP-ECM

9301327573570786975603232134346958074002999397155820909439014405247235839928916807753229227144420994623277010847989727<118>

4504089214926277663637902015836877747<37>
2065085110380752055047178318575109702225427817809860271859808416125695365510274341<82>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1181697092
Step 1 took 4781ms
Step 2 took 2875ms
********** Factor found in step 2: 4504089214926277663637902015836877747
Found prime factor of 37 digits: 4504089214926277663637902015836877747
Prime cofactor 2065085110380752055047178318575109702225427817809860271859808416125695365510274341 has 82 digits
 

GMP-ECM

244906037018141500237760056516633888496868185340719890191204015293176721002618705068080041708186315559237174701413436648176478646316413249001368941090737547651<159>

71912768777581923860504746443186315413<38>
3405598771695305282171209118372304266857335113886730368804871320602803620716897805925512333299688666313338804681728025527<121>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1562546245
Step 1 took 7187ms
Step 2 took 3813ms
********** Factor found in step 2: 71912768777581923860504746443186315413
Found prime factor of 38 digits: 71912768777581923860504746443186315413
Prime cofactor 3405598771695305282171209118372304266857335113886730368804871320602803620716897805925512333299688666313338804681728025527 has 121 digits
 

GMP-ECM

702781222873749051495298867225162576997056974132678778350659697094859428228314501506050604885558243852448563666031864554529633293653923666260719184609<150>

14532332384216493317485558773574127048348550051962123693<56>
48359836830943727882374008620369036194160590057323185419064508537011100596688758930861166766213<95>

702781222873749051495298867225162576997056974132678778350659697094859428228314501506050604885558243852448563666031864554529633293653923666260719184609=14532332384216493317485558773574127048348550051962123693*48359836830943727882374008620369036194160590057323185419064508537011100596688758930861166766213

cado polynomial
n: 702781222873749051495298867225162576997056974132678778350659697094859428228314501506050604885558243852448563666031864554529633293653923666260719184609
skew: 0.23
type: snfs
c0: 13
c5: 18500
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 18500*x^5+13
# g(x) = -x+10000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 10000000
tasks.lim1 = 10000000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
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: 48359836830943727882374008620369036194160590057323185419064508537011100596688758930861166766213 14532332384216493317485558773574127048348550051962123693
Info:Square Root: Total cpu/real time for sqrt: 650.29/201.373
Info:Generate Free Relations: Total cpu/real time for freerel: 120.76/31.6025
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25825879
Info:Lattice Sieving: Average J: 1897.03 for 2341204 special-q, max bucket fill -bkmult 1.0,1s:1.186190
Info:Lattice Sieving: Total time: 440949s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.33/2.23797
Info:Quadratic Characters: Total cpu/real time for characters: 71.79/31.5718
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 445.81/452.069
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 366.9s
Info:Filtering - Merging: Merged matrix has 2052415 rows and total weight 349444092 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 561.98/153.773
Info:Filtering - Merging: Total cpu/real time for replay: 78.26/67.1517
Info:Square Root: Total cpu/real time for sqrt: 650.29/201.373
Info:Linear Algebra: Total cpu/real time for bwc: 70624.9/18161.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 45283.84, WCT time 11563.33, iteration CPU time 0.17, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (64256 iterations)
Info:Linear Algebra: Lingen CPU time 416.11, WCT time 105.7
Info:Linear Algebra: Mksol: CPU time 24528.45,  WCT time 6320.52, iteration CPU time 0.19, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (32256 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 110.25/117.484
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 116.89999999999998s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 334.19/386.978
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 896271/107856
48359836830943727882374008620369036194160590057323185419064508537011100596688758930861166766213 14532332384216493317485558773574127048348550051962123693

cado-nfs-3.0.0

Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

7545547770129364531514889532004603593541017344390278204530590821454435452896016984637018169625242020989774349220358518851245559430741076089382177264696035414785997<163>

89750087852678065307992298628650084211704646317745027329<56>
84072873360471166224323442816809956654591482867358517392276865384544189640387778603754603807234835753343693<107>

Number: n
N=7545547770129364531514889532004603593541017344390278204530590821454435452896016984637018169625242020989774349220358518851245559430741076089382177264696035414785997  ( 163 digits)
SNFS difficulty: 190 digits.
Divisors found:

Wed May 18 13:06:35 2022  p56 factor: 89750087852678065307992298628650084211704646317745027329
Wed May 18 13:06:35 2022  p107 factor: 84072873360471166224323442816809956654591482867358517392276865384544189640387778603754603807234835753343693
Wed May 18 13:06:35 2022  elapsed time 00:39:40 (Msieve 1.54 - dependency 6)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 37x10^189+26 = 41(188)4
#
n: 7545547770129364531514889532004603593541017344390278204530590821454435452896016984637018169625242020989774349220358518851245559430741076089382177264696035414785997
m: 50000000000000000000000000000000000000
deg: 5
c5: 296
c0: 65
skew: 0.74
# Murphy_E = 3.823e-11
type: snfs
lss: 1
rlim: 10700000
alim: 10700000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10700000/10700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 18150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3234574 hash collisions in 28871330 relations (27348534 unique)
Msieve: matrix is 1185779 x 1186005 (411.4 MB)

Sieving start time : 2022/05/18 08:30:16
Sieving end time  : 2022/05/18 12:26:26

Total sieving time: 3hrs 56min 10secs.

Total relation processing time: 0hrs 23min 27sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 45sec.

Prototype def-par.txt line would be:
snfs,190,5,0,0,0,0,0,0,0,0,10700000,10700000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119221] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153514] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152035] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

27329791692340566822400497145053526617124236436101937921223930047908111713425354020170451935504510194841494443611828435412287273818400941019432005079<149>

169013268198799503874321013049500971837931<42>
161702048505412485155089146165703025669209229950370392924165778662264390227415501411971145488739400031552709<108>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 27329791692340566822400497145053526617124236436101937921223930047908111713425354020170451935504510194841494443611828435412287273818400941019432005079 (149 digits)
Using B1=11830000, B2=35134365640, polynomial Dickson(12), sigma=1:3603380453
Step 1 took 23619ms
Step 2 took 10364ms
********** Factor found in step 2: 169013268198799503874321013049500971837931
Found prime factor of 42 digits: 169013268198799503874321013049500971837931
Prime cofactor 161702048505412485155089146165703025669209229950370392924165778662264390227415501411971145488739400031552709 has 108 digits

23281939640261399458776759721477948473141117311084444928799904942532044514860965584701610929868325809671186338979<113>

774430498797827208631340318715632656128919<42>
30063304165322370109347974986148552946448774042097547413006782835990741<71>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1197476698
Step 1 took 3454ms
Step 2 took 2546ms
********** Factor found in step 2: 774430498797827208631340318715632656128919
Found prime factor of 42 digits: 774430498797827208631340318715632656128919
Prime cofactor 30063304165322370109347974986148552946448774042097547413006782835990741 has 71 digits

GMP-ECM

4259640153595150429924248296361770169934453630561362626795428410053740832441411524519013994251200248995195315641017896664915405855114539241749527742436434436506078165203111249882811<181>

289386549212881032724199616551499662944548938909801<51>
409898874939120998088436059312377831356411914174695628701444161<63>
35910201733450247668857091223422951376201765196916162888401741254851<68>

Number: n
N=4259640153595150429924248296361770169934453630561362626795428410053740832441411524519013994251200248995195315641017896664915405855114539241749527742436434436506078165203111249882811  ( 181 digits)
SNFS difficulty: 193 digits.
Divisors found:

Tue Jun 28 00:09:10 2022  found factor: 289386549212881032724199616551499662944548938909801
Tue Jun 28 00:11:18 2022  p51 factor: 289386549212881032724199616551499662944548938909801
Tue Jun 28 00:11:18 2022  p63 factor: 409898874939120998088436059312377831356411914174695628701444161
Tue Jun 28 00:11:18 2022  p68 factor: 35910201733450247668857091223422951376201765196916162888401741254851
Tue Jun 28 00:11:18 2022  elapsed time 00:55:22 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 37x10^192+26 = 41(191)4
#
n: 4259640153595150429924248296361770169934453630561362626795428410053740832441411524519013994251200248995195315641017896664915405855114539241749527742436434436506078165203111249882811
m: 100000000000000000000000000000000000000
deg: 5
c5: 1850
c0: 13
skew: 0.37
# Murphy_E = 2.436e-11
type: snfs
lss: 1
rlim: 11600000
alim: 11600000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11600000/11600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 18600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3469315 hash collisions in 28811958 relations (26978294 unique)
Msieve: matrix is 1490904 x 1491129 (520.4 MB)

Sieving start time : 2022/06/27 17:52:01
Sieving end time  : 2022/06/27 23:15:08

Total sieving time: 5hrs 23min 7secs.

Total relation processing time: 0hrs 42min 59sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 17sec.

Prototype def-par.txt line would be:
snfs,193,5,0,0,0,0,0,0,0,0,11600000,11600000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116178] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.13 BogoMIPS (lpj=12798268)
[    0.152034] smpboot: Total of 16 processors activated (102386.14 BogoMIPS)

1716614127254173941736375577340451646530675271234953439890365735606006496422072824342702375484190492363012043606612014666624574879990601893595542432642573911321451009828353530818115141121<187>

157577772974324150192156475583993506690409775965431431561<57>
10893758014551204733430164554072308056813212886486229092266528965476578072667143360782596978753258444562110591351694747546291851961<131>

Number: n
N=1716614127254173941736375577340451646530675271234953439890365735606006496422072824342702375484190492363012043606612014666624574879990601893595542432642573911321451009828353530818115141121  ( 187 digits)
SNFS difficulty: 197 digits.
Divisors found:

Wed Jul 27 11:25:49 2022  p57 factor: 157577772974324150192156475583993506690409775965431431561
Wed Jul 27 11:25:49 2022  p131 factor: 10893758014551204733430164554072308056813212886486229092266528965476578072667143360782596978753258444562110591351694747546291851961
Wed Jul 27 11:25:49 2022  elapsed time 01:07:01 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.331).
Factorization parameters were as follows:
#
# N = 37x10^196+26 = 41(195)4
#
n: 1716614127254173941736375577340451646530675271234953439890365735606006496422072824342702375484190492363012043606612014666624574879990601893595542432642573911321451009828353530818115141121
m: 1000000000000000000000000000000000000000
deg: 5
c5: 185
c0: 13
skew: 0.59
# Murphy_E = 2.058e-11
type: snfs
lss: 1
rlim: 13600000
alim: 13600000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13600000/13600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3273462 hash collisions in 27761094 relations (26067955 unique)
Msieve: matrix is 1690743 x 1690968 (590.4 MB)

Sieving start time : 2022/07/27 04:16:56
Sieving end time  : 2022/07/27 10:18:18

Total sieving time: 6hrs 1min 22secs.

Total relation processing time: 0hrs 56min 55sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 10sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13600000,13600000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118312] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153549] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.21 BogoMIPS (lpj=12798428)
[    0.152036] smpboot: Total of 16 processors activated (102387.42 BogoMIPS)

113360712147830687098089949566809687647914693059018611594811752061222200130681985400768972944838813422016026674658490309231957098387190457156004932311774633921<159>

3216806089006834119264164274724357367233997<43>
567170027265394723859129436061599572244974239<45>
62133298723147927292269462855618315072036557316502758275348343986940187<71>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 113360712147830687098089949566809687647914693059018611594811752061222200130681985400768972944838813422016026674658490309231957098387190457156004932311774633921 (159 digits)
Using B1=21340000, B2=96186180106, polynomial Dickson(12), sigma=1:3363779120
Step 1 took 50014ms
Step 2 took 18972ms
********** Factor found in step 2: 567170027265394723859129436061599572244974239
Found prime factor of 45 digits: 567170027265394723859129436061599572244974239
Composite cofactor 199870773662702804135251629525863252961299095123985936543803948274493969585901076005211056366626200689719671937439 has 114 digits


GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 199870773662702804135251629525863252961299095123985936543803948274493969585901076005211056366626200689719671937439 (114 digits)
Using B1=24260000, B2=96189633556, polynomial Dickson(12), sigma=1:3764156155
Step 1 took 31696ms
Step 2 took 13535ms
********** Factor found in step 2: 3216806089006834119264164274724357367233997
Found prime factor of 43 digits: 3216806089006834119264164274724357367233997
Prime cofactor 62133298723147927292269462855618315072036557316502758275348343986940187 has 71 digits

39980504504794047681218774217649369819137631130391532676526038763838733745646484870455468936201156243580189647990565820469963632518003293906397750019787534376058526110027817<173>

4476991108943678832423106302677107157156764682836007<52>
8930217534925421260089758068046476376273239437870854714392976210176660073978368859608484691531611415950240035492140758831<121>

Number: n
N=39980504504794047681218774217649369819137631130391532676526038763838733745646484870455468936201156243580189647990565820469963632518003293906397750019787534376058526110027817  ( 173 digits)
SNFS difficulty: 200 digits.
Divisors found:

Mon Sep  5 11:02:36 2022  p52 factor: 4476991108943678832423106302677107157156764682836007
Mon Sep  5 11:02:36 2022  p121 factor: 8930217534925421260089758068046476376273239437870854714392976210176660073978368859608484691531611415950240035492140758831
Mon Sep  5 11:02:36 2022  elapsed time 01:17:09 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.343).
Factorization parameters were as follows:
#
# N = 37x10^199+26 = 41(198)4
#
n: 39980504504794047681218774217649369819137631130391532676526038763838733745646484870455468936201156243580189647990565820469963632518003293906397750019787534376058526110027817
m: 5000000000000000000000000000000000000000
deg: 5
c5: 296
c0: 65
skew: 0.74
# Murphy_E = 1.469e-11
type: snfs
lss: 1
rlim: 12700000
alim: 12700000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 12700000/12700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 26350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3611128 hash collisions in 27855950 relations (25731411 unique)
Msieve: matrix is 1870250 x 1870475 (656.6 MB)

Sieving start time : 2022/09/05 02:34:00
Sieving end time  : 2022/09/05 09:44:57

Total sieving time: 7hrs 10min 57secs.

Total relation processing time: 1hrs 6min 33sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 36sec.

Prototype def-par.txt line would be:
snfs,200,5,0,0,0,0,0,0,0,0,12700000,12700000,28,28,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

90117678313120504909142774069349896055454092174238623329026615548015635485662927644145792313928353176517112357148286960500029702438649848807760924629582536165410671095644050821494478728761<188>

655700073133931819351102651455099002069219723429070517<54>
41073016070553006158005490007584339784292855217183263657<56>
3346171279717579102136908480299827248327328385980027007828609768310040178735469<79>

 90117678313120504909142774069349896055454092174238623329026615548015635485662927644145792313928353176517112357148286960500029702438649848807760924629582536165410671095644050821494478728761=655700073133931819351102651455099002069219723429070517*41073016070553006158005490007584339784292855217183263657*3346171279717579102136908480299827248327328385980027007828609768310040178735469 

cado polynomial
n: 90117678313120504909142774069349896055454092174238623329026615548015635485662927644145792313928353176517112357148286960500029702438649848807760924629582536165410671095644050821494478728761
skew: 0.93
type: snfs
c0: 26
c5: 37
Y0: 10000000000000000000000000000000000000000
Y1: -1
# f(x) = 37*x^5+26
# g(x) = -x+10000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 16000000
tasks.lim1 = 16000000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.lambda0 = 2.6
tasks.sieve.lambda1 = 2.6
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 41073016070553006158005490007584339784292855217183263657 3346171279717579102136908480299827248327328385980027007828609768310040178735469 655700073133931819351102651455099002069219723429070517
Info:Square Root: Total cpu/real time for sqrt: 1614.28/494.185
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 190.06/213.479
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 213.1s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 332/330.267
Info:Filtering - Merging: Merged matrix has 3038567 rows and total weight 518338800 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 886.23/243.639
Info:Filtering - Merging: Total cpu/real time for replay: 124.27/108.641
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 44216737
Info:Lattice Sieving: Average J: 1894.02 for 2818760 special-q, max bucket fill -bkmult 1.0,1s:1.114210
Info:Lattice Sieving: Total time: 1.05001e+06s
Info:Linear Algebra: Total cpu/real time for bwc: 165175/42337.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 106132.39, WCT time 27077.36, iteration CPU time 0.27, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (95232 iterations)
Info:Linear Algebra: Lingen CPU time 659.91, WCT time 167.57
Info:Linear Algebra: Mksol: CPU time 57228.21,  WCT time 14653.06, iteration CPU time 0.29, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (47616 iterations)
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 595.46/455.431
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 388.9s
Info:Quadratic Characters: Total cpu/real time for characters: 112.73/48.7784
Info:Generate Factor Base: Total cpu/real time for makefb: 6.78/3.03446
Info:Generate Free Relations: Total cpu/real time for freerel: 232.94/60.5661
Info:Square Root: Total cpu/real time for sqrt: 1614.28/494.185
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.21e+06/159231
Info:root: Cleaning up computation data in /tmp/cado.1ktfczj3
41073016070553006158005490007584339784292855217183263657 3346171279717579102136908480299827248327328385980027007828609768310040178735469 655700073133931819351102651455099002069219723429070517

cado-nfs-3.0.0

Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

16988062442607897153351698806244260789715335169880624426078971533516988062442607897153351698806244260789715335169880624426078971533516988062442607897153351698806244260789715335169880624426078971533517<200>

100221168319489012868617236941580562957440101<45>
169505731448396992712461847623851784708509174080840802204005122342625799793643723780130618073371306920858275805691071400625416258209250679121860520915871817<156>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 16988062442607897153351698806244260789715335169880624426078971533516988062442607897153351698806244260789715335169880624426078971533516988062442607897153351698806244260789715335169880624426078971533517 (200 digits)
Using B1=41280000, B2=192394462276, polynomial Dickson(12), sigma=1:2143246407
Step 1 took 129979ms
Step 2 took 36945ms
********** Factor found in step 2: 100221168319489012868617236941580562957440101
Found prime factor of 45 digits: 100221168319489012868617236941580562957440101
Prime cofactor 169505731448396992712461847623851784708509174080840802204005122342625799793643723780130618073371306920858275805691071400625416258209250679121860520915871817 has 156 digits

2845630900229684085954823552917498267051304128425684197670651685308945558052540415908973143533711213336462343149606301970333622888778716453608410425761970651001799032071981<172>

212175780936765047569937884642425345392040974110829349760463876935477447<72>
13411666909701490411846936833457484467497440204588602879771429186652936558083217968112738271176918123<101>

Number: n
N=2845630900229684085954823552917498267051304128425684197670651685308945558052540415908973143533711213336462343149606301970333622888778716453608410425761970651001799032071981  ( 172 digits)
SNFS difficulty: 203 digits.
Divisors found:

Wed Aug 16 19:11:48 2023  prp72 factor: 212175780936765047569937884642425345392040974110829349760463876935477447
Wed Aug 16 19:11:48 2023  prp101 factor: 13411666909701490411846936833457484467497440204588602879771429186652936558083217968112738271176918123
Wed Aug 16 19:11:48 2023  elapsed time 03:27:04 (Msieve 1.44 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.106).
Factorization parameters were as follows:
#
# N = 37x10^202+26 = 41(201)4
#
n: 2845630900229684085954823552917498267051304128425684197670651685308945558052540415908973143533711213336462343149606301970333622888778716453608410425761970651001799032071981
m: 10000000000000000000000000000000000000000
deg: 5
c5: 1850
c0: 13
skew: 0.37
# Murphy_E = 9.328e-12
type: snfs
lss: 1
rlim: 17100000
alim: 17100000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17100000/17100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 41350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2930437 hash collisions in 17244300 relations (14713487 unique)
Msieve: matrix is 2461680 x 2461905 (697.0 MB)

Sieving start time: 2023/08/15 23:54:04
Sieving end time  : 2023/08/16 15:44:00

Total sieving time: 15hrs 49min 56secs.

Total relation processing time: 3hrs 9min 9sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 13min 15sec.

Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,17100000,17100000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

295201129744783783653452237371909209802087138787279429808258945273011267554347946308470045978185241089240407893985539077463<123>

5609320001991633147553263196885741918307199545519704971488683<61>
52626901235795123597732145553079118779654772688897417417126661<62>

295201129744783783653452237371909209802087138787279429808258945273011267554347946308470045978185241089240407893985539077463=5609320001991633147553263196885741918307199545519704971488683*52626901235795123597732145553079118779654772688897417417126661

cado polynomial
n: 295201129744783783653452237371909209802087138787279429808258945273011267554347946308470045978185241089240407893985539077463
skew: 14232.796
c0: -1257173792431671196693856880
c1: -60375835113321352598988
c2: 14535584110006612693
c3: -1602749290828983
c4: 26049606768
c5: 2842560
Y0: -278036346256369582200296
Y1: 1432183201805369
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 3.052e-07
# f(x) = 2842560*x^5+26049606768*x^4-1602749290828983*x^3+14535584110006612693*x^2-60375835113321352598988*x-1257173792431671196693856880
# g(x) = 1432183201805369*x-278036346256369582200296

cado parameters (extracts)
tasks.lim0 = 2377918
tasks.lim1 = 9209388
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 57
tasks.sieve.mfb1 = 53
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 52626901235795123597732145553079118779654772688897417417126661 5609320001991633147553263196885741918307199545519704971488683
Info:Square Root: Total cpu/real time for sqrt: 267.51/79.0315
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 118.52/102.229
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 91.6s
Info:Square Root: Total cpu/real time for sqrt: 267.51/79.0315
Info:Filtering - Singleton removal: Total cpu/real time for purge: 56.56/61.0896
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11618910
Info:Lattice Sieving: Average J: 3795.48 for 166700 special-q, max bucket fill -bkmult 1.0,1s:1.308850
Info:Lattice Sieving: Total time: 49519.5s
Info:Generate Factor Base: Total cpu/real time for makefb: 8.26/2.20895
Info:Linear Algebra: Total cpu/real time for bwc: 7828.24/2014.28
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 4912.49, WCT time 1257.12, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (22528 iterations)
Info:Linear Algebra: Lingen CPU time 126.31, WCT time 32.13
Info:Linear Algebra: Mksol: CPU time 2678.01,  WCT time 684.65, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11264 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 127.34/32.7906
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 49.05/56.0803
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 56.0s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2253.89
Info:Polynomial Selection (root optimized): Rootsieve time: 2251.45
Info:Filtering - Merging: Merged matrix has 717122 rows and total weight 122442617 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 144.65/41.751
Info:Filtering - Merging: Total cpu/real time for replay: 25.85/21.3992
Info:Quadratic Characters: Total cpu/real time for characters: 26.65/10.4788
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19925.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 19925/35.800/43.607/46.490/0.903
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15604/34.110/38.990/44.330/0.880
Info:Polynomial Selection (size optimized): Total time: 2017.75
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 105228/28619.3
Info:root: Cleaning up computation data in /tmp/cado.0gacecrf
52626901235795123597732145553079118779654772688897417417126661 5609320001991633147553263196885741918307199545519704971488683

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

3098465306520281417762754841562366249969412690435582512966001185245011727598749849372899696659567425160011199425987837625748263750596668498898658692554197853857595973908898471<175>

550487201978407541015327035844834927<36>
5628587359314879148562676444302980962802821987144770575863782084222018942141668189316864278462391042159696362531985487531133097064019014473<139>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1187595281
Step 1 took 14524ms
Step 2 took 6638ms
********** Factor found in step 2: 550487201978407541015327035844834927
Found prime factor of 36 digits: 550487201978407541015327035844834927
Prime cofactor 5628587359314879148562676444302980962802821987144770575863782084222018942141668189316864278462391042159696362531985487531133097064019014473 has 139 digits

7661407214146684888391932745268563382614817575682279372178738559655443740423240982316643889510084068414295771731478030397150784776576800430695324470948772104195138112394914482130285335652462003561519029279<205>

1332136891683821095855603089449383368287983402681<49>
130393739062946532714954755000614737346043349903932629<54>
44106536079484730548927664716680276316170663226006965188527380855899552964625799817528156409671027408571<104>

10/25/24 15:42:02 v1.34.5 @ RYZEN-9,
10/25/24 15:42:02 v1.34.5 @ RYZEN-9, ****************************
10/25/24 15:42:02 v1.34.5 @ RYZEN-9, Starting factorization of 370000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000026
10/25/24 15:42:02 v1.34.5 @ RYZEN-9, using pretesting plan: normal
10/25/24 15:42:02 v1.34.5 @ RYZEN-9, no tune info: using qs/gnfs crossover of 125 digits
10/25/24 15:42:02 v1.34.5 @ RYZEN-9, ****************************
10/25/24 15:42:02 v1.34.5 @ RYZEN-9, div: found prime factor = 2
10/25/24 15:42:02 v1.34.5 @ RYZEN-9, div: found prime factor = 3
10/25/24 15:42:02 v1.34.5 @ RYZEN-9, div: found prime factor = 3
10/25/24 15:42:02 v1.34.5 @ RYZEN-9, div: found prime factor = 2683
10/25/24 15:42:02 v1.34.5 @ RYZEN-9, rho: x^2 + 3, starting 1000 iterations on C205
10/25/24 15:42:02 v1.34.5 @ RYZEN-9, rho: x^2 + 2, starting 1000 iterations on C205
10/25/24 15:42:02 v1.34.5 @ RYZEN-9, rho: x^2 + 1, starting 1000 iterations on C205
10/25/24 15:42:02 v1.34.5 @ RYZEN-9, pm1: starting B1 = 150K, B2 = gmp-ecm default on C205
10/25/24 15:42:03 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 0.00
10/25/24 15:42:03 v1.34.5 @ RYZEN-9, scheduled 30 curves at B1=2000 toward target pretesting depth of 63.08
10/25/24 15:42:03 v1.34.5 @ RYZEN-9, Finished 30 curves using Lenstra ECM method on C205 input, B1=2K, B2=gmp-ecm default
10/25/24 15:42:03 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 15.18
10/25/24 15:42:03 v1.34.5 @ RYZEN-9, scheduled 74 curves at B1=11000 toward target pretesting depth of 63.08
10/25/24 15:42:05 v1.34.5 @ RYZEN-9, Finished 74 curves using Lenstra ECM method on C205 input, B1=11K, B2=gmp-ecm default
10/25/24 15:42:05 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 20.24
10/25/24 15:42:05 v1.34.5 @ RYZEN-9, scheduled 214 curves at B1=50000 toward target pretesting depth of 63.08
10/25/24 15:42:36 v1.34.5 @ RYZEN-9, nfs: commencing nfs on c210: 370000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000026
10/25/24 15:42:36 v1.34.5 @ RYZEN-9, nfs: input divides 37*10^208 + 26
10/25/24 15:42:36 v1.34.5 @ RYZEN-9, nfs: using supplied cofactor: 7661407214146684888391932745268563382614817575682279372178738559655443740423240982316643889510084068414295771731478030397150784776576800430695324470948772104195138112394914482130285335652462003561519029279
10/25/24 15:42:36 v1.34.5 @ RYZEN-9, nfs: commencing snfs on c205: 7661407214146684888391932745268563382614817575682279372178738559655443740423240982316643889510084068414295771731478030397150784776576800430695324470948772104195138112394914482130285335652462003561519029279
10/25/24 15:42:36 v1.34.5 @ RYZEN-9, gen: best 3 polynomials:
n: 7661407214146684888391932745268563382614817575682279372178738559655443740423240982316643889510084068414295771731478030397150784776576800430695324470948772104195138112394914482130285335652462003561519029279
# 37*10^208+26, difficulty: 212.57, anorm: 9.81e+032, rnorm: 2.07e+047
# scaled difficulty: 214.96, suggest sieving rational side
# size = 1.017e-014, alpha = -0.302, combined = 4.914e-012, rroots = 1
type: snfs
size: 212
skew: 0.2341
c5: 18500
c0: 13
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
n: 7661407214146684888391932745268563382614817575682279372178738559655443740423240982316643889510084068414295771731478030397150784776576800430695324470948772104195138112394914482130285335652462003561519029279
# 37*10^208+26, difficulty: 210.97, anorm: 4.39e+032, rnorm: 4.62e+047
# scaled difficulty: 213.47, suggest sieving rational side
# size = 9.299e-015, alpha = -0.034, combined = 4.579e-012, rroots = 1
type: snfs
size: 210
skew: 1.1704
c5: 148
c0: 325
Y1: -1
Y0: 500000000000000000000000000000000000000000
m: 500000000000000000000000000000000000000000
n: 7661407214146684888391932745268563382614817575682279372178738559655443740423240982316643889510084068414295771731478030397150784776576800430695324470948772104195138112394914482130285335652462003561519029279
# 37*10^208+26, difficulty: 210.97, anorm: 6.20e+038, rnorm: 4.96e+040
# scaled difficulty: 210.97, suggest sieving algebraic side
# size = 1.207e-010, alpha = -0.870, combined = 3.850e-012, rroots = 0
type: snfs
size: 210
skew: 1.0157
c6: 296
c0: 325
Y1: -1
Y0: 50000000000000000000000000000000000
m: 50000000000000000000000000000000000
10/25/24 15:42:38 v1.34.5 @ RYZEN-9, test: fb generation took 1.9688 seconds
10/25/24 15:42:38 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 0 on the rational side over range 23800000-23802000
skew: 0.2341
c5: 18500
c0: 13
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
rlim: 23800000
alim: 23800000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
10/25/24 15:46:04 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
10/25/24 15:46:05 v1.34.5 @ RYZEN-9, test: fb generation took 1.8293 seconds
10/25/24 15:46:05 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 1 on the rational side over range 22600000-22602000
skew: 1.1704
c5: 148
c0: 325
Y1: -1
Y0: 500000000000000000000000000000000000000000
m: 500000000000000000000000000000000000000000
rlim: 22600000
alim: 22600000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
10/25/24 15:49:13 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
10/25/24 15:49:16 v1.34.5 @ RYZEN-9, test: fb generation took 2.6574 seconds
10/25/24 15:49:16 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 2 on the algebraic side over range 22600000-22602000
skew: 1.0157
c6: 296
c0: 325
Y1: -1
Y0: 50000000000000000000000000000000000
m: 50000000000000000000000000000000000
rlim: 22600000
alim: 22600000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
10/25/24 15:52:59 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
10/25/24 15:52:59 v1.34.5 @ RYZEN-9, gen: selected polynomial:
n: 7661407214146684888391932745268563382614817575682279372178738559655443740423240982316643889510084068414295771731478030397150784776576800430695324470948772104195138112394914482130285335652462003561519029279
# 37*10^208+26, difficulty: 210.97, anorm: 4.39e+032, rnorm: 4.62e+047
# scaled difficulty: 213.47, suggest sieving rational side
# size = 9.299e-015, alpha = -0.034, combined = 4.579e-012, rroots = 1
type: snfs
size: 210
skew: 1.1704
c5: 148
c0: 325
Y1: -1
Y0: 500000000000000000000000000000000000000000
m: 500000000000000000000000000000000000000000
10/27/24 07:56:10 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
10/27/24 08:03:18 v1.34.5 @ RYZEN-9, nfs: commencing msieve linear algebra
10/27/24 16:36:19 v1.34.5 @ RYZEN-9, nfs: commencing msieve sqrt
10/27/24 17:13:30 v1.34.5 @ RYZEN-9, prp54 = 130393739062946532714954755000614737346043349903932629
10/27/24 17:13:30 v1.34.5 @ RYZEN-9, prp104 = 44106536079484730548927664716680276316170663226006965188527380855899552964625799817528156409671027408571
10/27/24 17:13:30 v1.34.5 @ RYZEN-9, prp49 = 1332136891683821095855603089449383368287983402681
10/27/24 17:13:31 v1.34.5 @ RYZEN-9, NFS elapsed time = 178254.8129 seconds.
10/27/24 17:13:31 v1.34.5 @ RYZEN-9,
10/27/24 17:13:31 v1.34.5 @ RYZEN-9,
10/25/24 15:52:59 v1.34.5 @ RYZEN-9, test: test sieving took 623.19 seconds

YAFU

29083641400279380810373140103927294366268763193978914780520680597109115753290405053659626224750377864890378876057292945496488869289525971358706903443517705365987108539008505814795488549<185>

1029513203707555136843160986424950657381<40>

28249896451586373157728037286804959769816273960215248884900460767207493312422053043391407053736977439034397975064456507260107373845531808582414529<146>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4157803958
Step 1 took 5016ms
********** Factor found in step 2: 1029513203707555136843160986424950657381
Found prime factor of 40 digits: 1029513203707555136843160986424950657381
Composite cofactor 28249896451586373157728037286804959769816273960215248884900460767207493312422053043391407053736977439034397975064456507260107373845531808582414529 has 146 digits

GMP-ECM

28249896451586373157728037286804959769816273960215248884900460767207493312422053043391407053736977439034397975064456507260107373845531808582414529<146>

10208063250084265000499188810419782390859655423955117015550943<62>
2767410012996655105129899546031867895892493925539428216311180823498289279806408791903<85>

28249896451586373157728037286804959769816273960215248884900460767207493312422053043391407053736977439034397975064456507260107373845531808582414529=10208063250084265000499188810419782390859655423955117015550943*2767410012996655105129899546031867895892493925539428216311180823498289279806408791903

cado polynomial
n: 28249896451586373157728037286804959769816273960215248884900460767207493312422053043391407053736977439034397975064456507260107373845531808582414529
skew: 732064.558
c0: -4849364002113066976694379176515938
c1: -125844904161433181381231501481
c2: 1313042145060630118812178
c3: 509214775673952001
c4: -1143083484200
c5: -403200
Y0: -28737477616836638497603007471
Y1: 9602071640579363131
# MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=3.355e+14) = 1.487e-07
# f(x) = -403200*x^5-1143083484200*x^4+509214775673952001*x^3+1313042145060630118812178*x^2-125844904161433181381231501481*x-4849364002113066976694379176515938
# g(x) = 9602071640579363131*x-28737477616836638497603007471

cado parameters (extracts)
tasks.lim0 = 10000000
tasks.lim1 = 20000000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 58
tasks.sieve.mfb1 = 87
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 10208063250084265000499188810419782390859655423955117015550943 2767410012996655105129899546031867895892493925539428216311180823498289279806408791903
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 3793.03/263.816
Info:HTTP server: Got notification to stop serving Workunits
Info:Square Root: Total cpu/real time for sqrt: 3793.03/263.816
Info:Generate Factor Base: Total cpu/real time for makefb: 6.79/0.467601
Info:Generate Free Relations: Total cpu/real time for freerel: 248.05/14.842
Info:Linear Algebra: Total cpu/real time for bwc: 197800/20667.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 127670.58, WCT time 13350.46, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.04, comm-wait 0.0 (114688 iterations)
Info:Linear Algebra: Lingen CPU time 745.93, WCT time 51.28
Info:Linear Algebra: Mksol: CPU time 68255.58,  WCT time 7142.36, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.04, comm-wait 0.0 (57344 iterations)
Info:Filtering - Merging: Merged matrix has 3657667 rows and total weight 625511502 (171.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 876.01/54.689
Info:Filtering - Merging: Total cpu/real time for replay: 82.55/72.3383
Info:Quadratic Characters: Total cpu/real time for characters: 99.01/21.4032
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 210.17/181.723
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 181.29999999999998s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 726.4/525.463
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 49923636
Info:Lattice Sieving: Average J: 3830.07 for 1352116 special-q, max bucket fill -bkmult 1.0,1s:1.172730
Info:Lattice Sieving: Total time: 1.11605e+06s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 3966.38
Info:Polynomial Selection (root optimized): Rootsieve time: 3964.94
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 959.38/748.829
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 552.5s
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 81888.4
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 56973/44.090/52.427/57.600/0.909
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 46996/41.120/46.887/53.190/1.102
Info:Polynomial Selection (size optimized): Total time: 30126.1
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 2.36143e+06/116207
10208063250084265000499188810419782390859655423955117015550943 2767410012996655105129899546031867895892493925539428216311180823498289279806408791903

cado-nfs-3.0.0

Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
13th Gen Intel(R) Core(TM) i7-13700KF (24 processeurs)

176219697686326539720498662859218704435424435577382162717769549470938438256579342089652057610949990605179978956827139719495747989917489901912942334170784427638925108581690403141701818608765265551911<198>

1182538840243113736120920486857557047469<40>

149018105528016476258759486306054706391607654091471318371851833940162809936463572731904974020039069103112696003831195238827207357024048165763615221152457850019<159>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1417522294
Step 1 took 6281ms
Step 2 took 1891ms
********** Factor found in step 2: 1182538840243113736120920486857557047469
Found prime factor of 40 digits: 1182538840243113736120920486857557047469
Composite cofactor 149018105528016476258759486306054706391607654091471318371851833940162809936463572731904974020039069103112696003831195238827207357024048165763615221152457850019 has 159 digits

GMP-ECM

26468675163693645770540134580112750914338212450877344578438680706201001226484103485109175990261209300434412321747681677601389635742005915606870965401493518394691<161>

10324236843573860148445783804899826999274513086667782800379485462358390535186115296612534181594955075618059043473408114292092192644678832524136391539706456833528656733076622579385010324236843573860148445783804899827<215>

12327468655572410289181522341445699861<38>

837498527234703187674198818621376495353254463043417511352289294255732508132866387040777724416198089343782378138081573103570735612284394429170089668174335234259807050870483992807<177>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:66005516
Step 1 took 7469ms
Step 2 took 3563ms
********** Factor found in step 2: 12327468655572410289181522341445699861
Found prime factor of 38 digits: 12327468655572410289181522341445699861
Composite cofactor 837498527234703187674198818621376495353254463043417511352289294255732508132866387040777724416198089343782378138081573103570735612284394429170089668174335234259807050870483992807 has 177 digits

GMP.-ECM

432076567949497285957716371444065225290675013087524169704099678280561001316333895092876347988468640260061826050797111373466917978593067308788297125775998288809718172378159100163<177>

3229074551640800765989667100515004901836378187135355211241970934204366556125078055789183640580126805274039274935318195292067978366121953418869368211662052221306249336136316010196313346816416952089915073647269<208>

67984919931075630987896106532819303<35>

47496923654753087286262824115385274123485203369470003664044898168439926390279019577184984706282663555029863721873270850634681789162891779361992548551124918808441529350191123<173>

Resuming ECM residue saved by @a15c56f1befc with GMP-ECM 7.0.5-dev on Wed Aug 24 08:44:27 2022 
Input number is 3229074551640800765989667100515004901836378187135355211241970934204366556125078055789183640580126805274039274935318195292067978366121953418869368211662052221306249336136316010196313346816416952089915073647269 (208 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:6680752
Step 1 took 0ms
Step 2 took 4873ms
********** Factor found in step 2: 67984919931075630987896106532819303
Found prime factor of 35 digits: 67984919931075630987896106532819303
Composite cofactor 47496923654753087286262824115385274123485203369470003664044898168439926390279019577184984706282663555029863721873270850634681789162891779361992548551124918808441529350191123 has 173 digits

138988409883681834516110657376317505625890774317814232617422272435955309599442925078124134573600817648073069635624190260912644583974789424050055575143950970928369639900587053546315093947502719498516419957<204>

873181322700618634392175241287464246063214185141230790455048023523880629741743018491702925706499228308411673721517289954053469114776679695877779916930154502256832179605358314983<177>

389120815338253667633398064300953750139<39>

2243985128221892819216877331454275985487014832366009848978097852590076936855195963416723775237201644415942210193464027254974002456427838597<139>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2968811616
Step 1 took 4171ms
********** Factor found in step 2: 389120815338253667633398064300953750139
Found prime factor of 39 digits: 389120815338253667633398064300953750139
Composite cofactor 2243985128221892819216877331454275985487014832366009848978097852590076936855195963416723775237201644415942210193464027254974002456427838597 has 139 digits
 

GMP-ECM

2243985128221892819216877331454275985487014832366009848978097852590076936855195963416723775237201644415942210193464027254974002456427838597<139>

106573181388029900494877336545947692322465508321715497627<57>
21055814408426142872442520056025852776968294616621734664025852752546116840415926111<83>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:3305704643
Step 1 took 82812ms
Step 2 took 28141ms
********** Factor found in step 2: 106573181388029900494877336545947692322465508321715497627
Found prime factor of 57 digits: 106573181388029900494877336545947692322465508321715497627
Prime cofactor 21055814408426142872442520056025852776968294616621734664025852752546116840415926111 has 83 digits
 

GMP-ECM

68743596835794302383223479826881991910206354345914102794345892104108510178084417358535023866621266033971183661097103611839345239255462348044472741402040239728498245956152128527513470726383353809<194>

1347842915523980101032566705348374523927<40>

51002676976693470654215125116688774619448885061850257295812495891859179815138999797321561723842324169516727787344918062367907432977708343548860235425454167<155>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1650725978
Step 1 took 11488ms
Step 2 took 5987ms
********** Factor found in step 2: 1347842915523980101032566705348374523927
Found prime factor of 40 digits: 1347842915523980101032566705348374523927
Composite cofactor 51002676976693470654215125116688774619448885061850257295812495891859179815138999797321561723842324169516727787344918062367907432977708343548860235425454167 has 155 digits

51002676976693470654215125116688774619448885061850257295812495891859179815138999797321561723842324169516727787344918062367907432977708343548860235425454167<155>

420731722379910997178729528988966576227971<42>
121223749633594861309676699367498500332514072009105612457433485490369662639018781968835977964730285328783594872477<114>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3134770074
Step 1 took 26359ms
Step 2 took 12203ms
********** Factor found in step 2: 420731722379910997178729528988966576227971
Found prime factor of 42 digits: 420731722379910997178729528988966576227971
Prime cofactor 121223749633594861309676699367498500332514072009105612457433485490369662639018781968835977964730285328783594872477 has 114 digits
 

GMP-ECM

8345345583150442216389910741139826229332654925336936308585769447147675652088807481752303767385753406419762148261853865306251605634782633476784375923760810444864491313092478469053521763598339303324608493494347029<211>

1526924953094188269206988343802889625582085944205708770794270512910217571811236578383453940596903497489811524859026002743489999781309732471857403088688086120960804160900804557<175>

45810591741206329278384038289805570748733814752494358400400292338727353586625399894249523407347641470679787401002545265408337357957634604004428037743740739771224095874981431945977896889035691956202688549143<206>

2436153158989729648225197170057975123557137240646611022716403301280622811001320877624255854366237795525854259743308603385245706794249033574076023212455904767918113086133376990314121<181>

891474524617409270790179368350215375802785641088815518432828671014392400567639853012649237805282133088015921918988775397530914150949413616763822922621580305189695151508551346274582957550382779475614657<201>

12375409726403103886547595156866680045487992507860057528931701117131580707739648136999130376613820322429593952772760719780587330256204428389858853435012375409726403103886547595156866680045487992507860057528931701117131580707739648137<233>

7964264421347435323983835413185663508219005960001705939222621364200074846825148511480164237634337983659498579421906115543050444748718807624373081064216595187973821649283142570581477072836406546615453001862905370200412415860317<226>

798089890190499009160966373631740670804361375684795543645569697661786077931846845684536603239726816226610110065605054722584888888668145244447099283391231053327751625133005141080692950082330033269943489640575648788379<216>

40087203570815994884396971002170789739336340605303897244529727409510670287291219874824086086942227361065192527153628165260923412506778479613110786256352295424584254056407731760618612797074610271326840830961<206>

277494770611047834803553127041320906307520634773637690797716917024698669553572262930705070862939587903465959183999177535499343514871462247293949745517045731273194156656117815459767660678434514901566679975915853865733900244649889572831<234>

431232212540223456560510325102148920701<39>

643492676431643740171887968093962792080410759247063884106365003029596809390056628455269482069930260836041969704703111609125399481687201881153923794928714036905386135760381294112924747805478261131<195>

GPU: factor 431232212540223456560510325102148920701 found in Step 1 with curve 431 (-sigma 3:-1366614529)
Computing 1792 Step 1 took 322ms of CPU time / 267687ms of GPU time
Throughput: 6.694 curves per second (on average 149.38ms per Step 1)
********** Factor found in step 1: 431232212540223456560510325102148920701
Found prime factor of 39 digits: 431232212540223456560510325102148920701
Composite cofactor 643492676431643740171887968093962792080410759247063884106365003029596809390056628455269482069930260836041969704703111609125399481687201881153923794928714036905386135760381294112924747805478261131 has 195 digits
Peak memory usage: 9428MB

1868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868687<241>

26886787870219845791037870432870202558147143547023054024776851220349282904517220530974184534449502175934994629767178820131407053054094016048905443374337031821830261695294075310293243023562752108213731781<203>

77050809656960717296423262152809107207084523809537812810919627435071426183265973429960029335875155023042685871333512298936398335952524365379308646386293429783294480990460624904009211870253866886203215242872624396226416867<221>

6385802357087870243489886506304654651700877177424478853506532862356749053001925827907066884292834531475527692762380268183716971196232497212894002585706377003104334393719470851034515604781722848440077844557212309336922516581<223>

325913357697019121563786948593112659655667081<45>
19593558245698980317532333599196171987980293638311267583473906679820922572824907119978542882760026449272736546313218011440311924115694793397596299518884842609004339448986955189501<179>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1480596132
Step 1 took 9563ms
Step 2 took 4343ms
********** Factor found in step 2: 325913357697019121563786948593112659655667081
Found prime factor of 45 digits: 325913357697019121563786948593112659655667081
Prime cofactor 19593558245698980317532333599196171987980293638311267583473906679820922572824907119978542882760026449272736546313218011440311924115694793397596299518884842609004339448986955189501 has 179 digits

GMP-ECM

8005198092615369130127902197849653923459957075672082175135298373272831773866723656928931023134674895435836268692531749897486672479509644516853137071069603186653905423089008128623333903436721856507506552295898449742877301<220>

699182638094065481641126755394355951<36>
11449366240610767254519832074419645922653091285133737577955512035192965370029832221541716257578162119210922866772643617471519387867909253692715384678520910667548938412541243898348613851<185>

Resuming ECM residue saved by @52a2f9dfbb6a with GMP-ECM 7.0.5-dev on Mon Aug 22 11:54:17 2022 
Input number is 8005198092615369130127902197849653923459957075672082175135298373272831773866723656928931023134674895435836268692531749897486672479509644516853137071069603186653905423089008128623333903436721856507506552295898449742877301 (220 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:334770687
Step 1 took 0ms
Step 2 took 5621ms
********** Factor found in step 2: 699182638094065481641126755394355951
Found prime factor of 36 digits: 699182638094065481641126755394355951
Prime cofactor 11449366240610767254519832074419645922653091285133737577955512035192965370029832221541716257578162119210922866772643617471519387867909253692715384678520910667548938412541243898348613851 has 185 digits

1833649847006531680391624028030705075487575608850688454125585892083442273202549007329514431244694975380818720489739255291265662183312512477202156224054369024870526748750620365826330746545455732607977661773706807268223028069<223>

33641638416877618879739760280919546879213766086778512672178287044117627570009988956381984137929849932900001088528963970114070550892238677607006393900259609412379811284137587254008551167056537931695575918456893992955569530805343<227>

44800553171027582068251463416504892285416187498396695375220450133594290043778364000656428092067461980550634435170309092906364456568355228603432842756226261605905508986612404344827362206546568768824903231<203>

97386786150251386879957415127284266290848426837545206551319651490067837529572024029584105255217339143481636563358237503419723835289570659561747881192542783199589691045421881400055599958665889467471681633436452779489942761311251484951083143731789<245>

375242063134012555402920134392873301813106093615473299866297531146315249139301490300653037734302313457073487140452305631748419882596840196099402427740499669854620186741403345394870066863239637<192>

61928615035353855600978942016141796776777549404544397380079873441913062081787108336795034834508987095539105654114493632061349459271095767934812715961279320619274055301113850608122904506853063050442806933093967928236776763<221>

18178392493395664003025174487751791812739506541576740532700178134820926472198500078787168819434917291540641243277156293481908392214615091412778288686028640146978711046734914442546191846964642002193011<200>

638697886543728491260200062633016090833782471144587627641990666543001364435764792410583611848650517793290609487147659066250184292426941030954698046993866576128914342260123533362375576886691941889591557<201>

3906142531593778152598546539143992723342092171746203857609238495824323076584273874390660240069830849037240381667708762151244022994890997825798838346993958337674957971489931347539150263665676596777753348551242350743601796597530266428691795071600965032571<253>

954093964054720367655880619600598169223271070398426795639183076901356736200233827730586722428488630673117845720727485526571685272316234861890044831068007102963397491892407449030444202587384602815007676312738966325521684603<222>

64773333975941321954323340763057221194774631<44>

14729733757553660736799486660408294756044310537889003819486087897563267675219694810852812178182995576974117556719941256583293409640386851834490539806526618089995324336778265502413<179>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3420919868
Step 1 took 7578ms
Step 2 took 2703ms
********** Factor found in step 2: 64773333975941321954323340763057221194774631
Found prime factor of 44 digits: 64773333975941321954323340763057221194774631
Composite cofactor 14729733757553660736799486660408294756044310537889003819486087897563267675219694810852812178182995576974117556719941256583293409640386851834490539806526618089995324336778265502413 has 179 digits
 

GMP-ECM

87255885094620965694084743849477693110798376585863330692121274190803896628981132886359637921658581748597843912739153111264464508298489818061244698220403960505948863344233291334010089978127213543256654606629882321100685542133289326181425935957208355587711<254>

4970183299985234883306159298287933467044462185635560042966720359830728901107736590965439975248011037494610033686676911321283896536396687498706041011178603456608291863444442265362956804979386616449<196>

6860132863136963699034487220794141198019506847505299835673484956781961277615510533976194118375245696486290844417665987203211289780993212188325692928110391770276995727921569552527738263015039343<193>

10585995146530243254015831821091046782245763056574920032395596185294768760278127681145220919559064969911552906504869231901538441551717965339106724815278766063005127048022983785556601053733551564196416584480560781871133937<221>

6080570914740963859728134691771935762520280018065777890503268703567126776467562903058928063700797275282287667659052484915235407826309930252435235972666175295643751617496521081047296459312396173375828738444747368801199968974822390419093792608490713<247>

16988062442607897153351698806244260789715335169880624426078971533516988062442607897153351698806244260789715335169880624426078971533516988062442607897153351698806244260789715335169880624426078971533516988062442607897153351698806244260789715335169880624426078971533517<266>

386425846260527445050655263355600942507491<42>

43962024297812065303178231054925575827065826158125931906587279369003191756473345625228127644855975198776780042022171503082795770168278270422985288240787902936848138314647670515203256076603189640093055997375191899205791679887<224>

Resuming ECM residue saved by @e183e8cb073f with GMP-ECM 7.0.5-dev on Wed Jun  8 12:51:40 2022 
Input number is 16988062442607897153351698806244260789715335169880624426078971533516988062442607897153351698806244260789715335169880624426078971533516988062442607897153351698806244260789715335169880624426078971533516988062442607897153351698806244260789715335169880624426078971533517 (266 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3713398572
Step 1 took 0ms
Step 2 took 5410ms
********** Factor found in step 2: 386425846260527445050655263355600942507491
Found prime factor of 42 digits: 386425846260527445050655263355600942507491
Composite cofactor 43962024297812065303178231054925575827065826158125931906587279369003191756473345625228127644855975198776780042022171503082795770168278270422985288240787902936848138314647670515203256076603189640093055997375191899205791679887 has 224 digits

348399246704331450094161958568738229755178907721280602636534839924670433145009416195856873822975517890772128060263653483992467043314500941619585687382297551789077212806026365348399246704331450094161958568738229755178907721280602636534839924670433145009416195856873823<267>

501638747131176928851896075970312057667458237070399016541201744951640053055219350385925399339363248325068593877456832847519094797450090093727447667175490436061386238276114305385661628264537926272501341225925859936587587425852709039149272713375531<246>

294995086258875345744207145613353703621051927283424214941137557500322620977445010563933495733709306962622320709122263806961976520655420401563576009526204564996339110979527356959314389322938280538062745582412705492580482911420996273669907418901585317944667500593857<264>

179383191044704947744014503894698516512169725701694116755833479166885270403981726631470296581033235087181083247566173353096387572793263396932413712119482904572188619710469470758451361906033214765372219530824925684107397459<222>

225903435733061049128479142803574681642638165013965505699117209673539019541687017612482611297569603456126821426438190913259233721867309260738121415234460861173742817538204113060910833176067146627670922379192990437740536340713559258471536827221<243>

286394812865693310147944482309681533492590613764578333209540433515094390372647176403197158701222700235577194365387740846259198586186940333567826322837168372959376428148514053641008207753324082869484310051728543846254447053688644777401<234>

1456702163919761977557686566271183857721<40>
196604920318817141646502679685239374525276100582152260067216581417290387984796106142878916945590787431595463745930965198136941501367451862990536062834410948488841263703915750119446432420821662081<195>

Resuming ECM residue saved by @52a2f9dfbb6a with GMP-ECM 7.0.5-dev on Mon Aug 22 12:34:17 2022 
Input number is 286394812865693310147944482309681533492590613764578333209540433515094390372647176403197158701222700235577194365387740846259198586186940333567826322837168372959376428148514053641008207753324082869484310051728543846254447053688644777401 (234 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3341040567
Step 1 took 0ms
Step 2 took 6033ms
********** Factor found in step 2: 1456702163919761977557686566271183857721
Found prime factor of 40 digits: 1456702163919761977557686566271183857721
Prime cofactor 196604920318817141646502679685239374525276100582152260067216581417290387984796106142878916945590787431595463745930965198136941501367451862990536062834410948488841263703915750119446432420821662081 has 195 digits

3926295531668286262640560329097776032354975176186333709636388770445019062899834197763818309158186455948210800660759631727160853538018686433100447658493645546824385399007640888444178824924175941081225858150744167382887017420986149508014819752728518240501<253>

461576285283065040242943423974621158316184497134994545568531842047956226357015344793948046096735008392130281135458281264164019026118106548783539877731823585460314547684985870020995348667868060556021705433627185168627021960234595559430189357127438027<249>

17480439464082701511185372204436545248484941<44>
26405302122493668323607020355690662990358396451270700881933869083772939907232794088710900336865945458815644395206541705167014284822521242503508160629262933316775494124698706914148795536342171503723860073847<206>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:875164652
Step 1 took 11547ms
Step 2 took 4828ms
********** Factor found in step 2: 17480439464082701511185372204436545248484941
Found prime factor of 44 digits: 17480439464082701511185372204436545248484941
Prime cofactor 26405302122493668323607020355690662990358396451270700881933869083772939907232794088710900336865945458815644395206541705167014284822521242503508160629262933316775494124698706914148795536342171503723860073847 has 206 digits

GMP-ECM

11441298895560471071523326366503794334540780607874589985824781087644741143423336781116187380420607491423978055405657532687517281115655823858405641430141606810413748296677399984171055745280430654745355188101728947306083062361784818854543674279346396245246725515871917464147<272>