1194849181796438532238857014457119012194777935635616824387347610351007395711808703094988588886462477966421<106>

1495384865338062053182352634472065643<37>
799024525051829156206406764290563680649546917230213067331751156368447<69>

1194849181796438532238857014457119012194777935635616824387347610351007395711808703094988588886462477966421=1495384865338062053182352634472065643*799024525051829156206406764290563680649546917230213067331751156368447

cado polynomial
n: 1194849181796438532238857014457119012194777935635616824387347610351007395711808703094988588886462477966421
skew: 0.56
type: snfs
c0: -8
c2: 9
c4: 80
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 80*x^4+9*x^2-8
# g(x) = -x+100000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1190000
tasks.lim1 = 1190000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 47
tasks.sieve.mfb1 = 47
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 799024525051829156206406764290563680649546917230213067331751156368447 1495384865338062053182352634472065643
Info:Square Root: Total cpu/real time for sqrt: 14.89/4.89583
Info:Filtering - Singleton removal: Total cpu/real time for purge: 53.62/45.1961
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6148970
Info:Lattice Sieving: Average J: 1893.43 for 66864 special-q, max bucket fill -bkmult 1.0,1s:1.344080
Info:Lattice Sieving: Total time: 6459.53s
Info:Linear Algebra: Total cpu/real time for bwc: 163.77/44.11
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 93.23, WCT time 24.5, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3456 iterations)
Info:Linear Algebra: Lingen CPU time 12.53, WCT time 3.23
Info:Linear Algebra: Mksol: CPU time 51.45,  WCT time 13.67, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (1728 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 43.8/13.375
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.53/23.9441
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 23.9s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 46.8/42.3749
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 34.900000000000006s
Info:Filtering - Merging: Merged matrix has 109541 rows and total weight 18666181 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 21.66/6.05577
Info:Filtering - Merging: Total cpu/real time for replay: 3.29/2.73095
Info:Generate Factor Base: Total cpu/real time for makefb: 0.74/0.414204
Info:Quadratic Characters: Total cpu/real time for characters: 3.39/1.3122
Info:Square Root: Total cpu/real time for sqrt: 14.89/4.89583
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 11994/3552.05
Info:root: Cleaning up computation data in /tmp/cado.gq61shov
799024525051829156206406764290563680649546917230213067331751156368447 1495384865338062053182352634472065643

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)

3903566895919213328528550217449027435026708712983572780350662837486808080416283558359839365143293503898153696442021<115>

734533090968683858045467364975249<33>
5314351312302740501885543554459228850666757217653688657034043804291566895730390229<82>

Fri May 20 23:20:32 2022 -> factmsieve.py (v0.86)
Fri May 20 23:20:32 2022 -> This is client 1 of 1
Fri May 20 23:20:32 2022 -> Running on 6 Cores with 1 hyper-thread per Core
Fri May 20 23:20:32 2022 -> Working with NAME = 88988_68
Fri May 20 23:20:32 2022 -> Selected lattice siever: gnfs-lasieve4I13e
Fri May 20 23:20:32 2022 -> Creating param file to detect parameter changes...
Fri May 20 23:20:32 2022 -> Running setup ...
Fri May 20 23:20:32 2022 -> Estimated minimum relations needed: 3.72759e+06
Fri May 20 23:20:32 2022 -> cleaning up before a restart
Fri May 20 23:20:32 2022 -> Running lattice siever ...
Fri May 20 23:20:32 2022 -> entering sieving loop
Fri May 20 23:20:32 2022 -> making sieve job for q = 695000 in 695000 .. 711666 as file 88988_68.job.T0
Fri May 20 23:20:32 2022 -> making sieve job for q = 711666 in 711666 .. 728332 as file 88988_68.job.T1
Fri May 20 23:20:32 2022 -> making sieve job for q = 728332 in 728332 .. 744998 as file 88988_68.job.T2
Fri May 20 23:20:32 2022 -> making sieve job for q = 744998 in 744998 .. 761664 as file 88988_68.job.T3
Fri May 20 23:20:32 2022 -> making sieve job for q = 761664 in 761664 .. 778330 as file 88988_68.job.T4
Fri May 20 23:20:32 2022 -> making sieve job for q = 778330 in 778330 .. 794996 as file 88988_68.job.T5
Fri May 20 23:20:32 2022 -> Lattice sieving rational q from 695000 to 795000.
Fri May 20 23:20:32 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n 0 -r 88988_68.job.T0
Fri May 20 23:20:32 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n 1 -r 88988_68.job.T1
Fri May 20 23:20:32 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n 2 -r 88988_68.job.T2
Fri May 20 23:20:32 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n 3 -r 88988_68.job.T3
Fri May 20 23:20:32 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T4 -v -n 4 -r 88988_68.job.T4
Fri May 20 23:20:32 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T5 -v -n 5 -r 88988_68.job.T5
Fri May 20 23:26:09 2022 Found 655824 relations, 17.6% of the estimated minimum (3727593).
Fri May 20 23:26:09 2022 LatSieveTime: 336.638
Fri May 20 23:26:09 2022 -> making sieve job for q = 795000 in 795000 .. 811666 as file 88988_68.job.T0
Fri May 20 23:26:09 2022 -> making sieve job for q = 811666 in 811666 .. 828332 as file 88988_68.job.T1
Fri May 20 23:26:09 2022 -> making sieve job for q = 828332 in 828332 .. 844998 as file 88988_68.job.T2
Fri May 20 23:26:09 2022 -> making sieve job for q = 844998 in 844998 .. 861664 as file 88988_68.job.T3
Fri May 20 23:26:09 2022 -> making sieve job for q = 861664 in 861664 .. 878330 as file 88988_68.job.T4
Fri May 20 23:26:09 2022 -> making sieve job for q = 878330 in 878330 .. 894996 as file 88988_68.job.T5
Fri May 20 23:26:09 2022 -> Lattice sieving rational q from 795000 to 895000.
Fri May 20 23:26:09 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n 0 -r 88988_68.job.T0
Fri May 20 23:26:09 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n 1 -r 88988_68.job.T1
Fri May 20 23:26:09 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n 2 -r 88988_68.job.T2
Fri May 20 23:26:09 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n 3 -r 88988_68.job.T3
Fri May 20 23:26:09 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T4 -v -n 4 -r 88988_68.job.T4
Fri May 20 23:26:09 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T5 -v -n 5 -r 88988_68.job.T5
Fri May 20 23:31:29 2022 Found 1374973 relations, 36.9% of the estimated minimum (3727593).
Fri May 20 23:31:29 2022 LatSieveTime: 320.143
Fri May 20 23:31:29 2022 -> making sieve job for q = 895000 in 895000 .. 911666 as file 88988_68.job.T0
Fri May 20 23:31:29 2022 -> making sieve job for q = 911666 in 911666 .. 928332 as file 88988_68.job.T1
Fri May 20 23:31:29 2022 -> making sieve job for q = 928332 in 928332 .. 944998 as file 88988_68.job.T2
Fri May 20 23:31:29 2022 -> making sieve job for q = 944998 in 944998 .. 961664 as file 88988_68.job.T3
Fri May 20 23:31:29 2022 -> making sieve job for q = 961664 in 961664 .. 978330 as file 88988_68.job.T4
Fri May 20 23:31:29 2022 -> making sieve job for q = 978330 in 978330 .. 994996 as file 88988_68.job.T5
Fri May 20 23:31:29 2022 -> Lattice sieving rational q from 895000 to 995000.
Fri May 20 23:31:29 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n 0 -r 88988_68.job.T0
Fri May 20 23:31:29 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n 1 -r 88988_68.job.T1
Fri May 20 23:31:29 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n 2 -r 88988_68.job.T2
Fri May 20 23:31:29 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n 3 -r 88988_68.job.T3
Fri May 20 23:31:29 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T4 -v -n 4 -r 88988_68.job.T4
Fri May 20 23:31:29 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T5 -v -n 5 -r 88988_68.job.T5
Fri May 20 23:36:51 2022 Found 2144800 relations, 57.5% of the estimated minimum (3727593).
Fri May 20 23:36:51 2022 LatSieveTime: 322.217
Fri May 20 23:36:51 2022 -> making sieve job for q = 995000 in 995000 .. 1011666 as file 88988_68.job.T0
Fri May 20 23:36:51 2022 -> making sieve job for q = 1011666 in 1011666 .. 1028332 as file 88988_68.job.T1
Fri May 20 23:36:51 2022 -> making sieve job for q = 1028332 in 1028332 .. 1044998 as file 88988_68.job.T2
Fri May 20 23:36:51 2022 -> making sieve job for q = 1044998 in 1044998 .. 1061664 as file 88988_68.job.T3
Fri May 20 23:36:51 2022 -> making sieve job for q = 1061664 in 1061664 .. 1078330 as file 88988_68.job.T4
Fri May 20 23:36:51 2022 -> making sieve job for q = 1078330 in 1078330 .. 1094996 as file 88988_68.job.T5
Fri May 20 23:36:51 2022 -> Lattice sieving rational q from 995000 to 1095000.
Fri May 20 23:36:51 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n 0 -r 88988_68.job.T0
Fri May 20 23:36:51 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n 1 -r 88988_68.job.T1
Fri May 20 23:36:51 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n 2 -r 88988_68.job.T2
Fri May 20 23:36:51 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n 3 -r 88988_68.job.T3
Fri May 20 23:36:51 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T4 -v -n 4 -r 88988_68.job.T4
Fri May 20 23:36:51 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T5 -v -n 5 -r 88988_68.job.T5
Fri May 20 23:42:28 2022 Found 2976325 relations, 79.8% of the estimated minimum (3727593).
Fri May 20 23:42:28 2022 LatSieveTime: 337.23
Fri May 20 23:42:28 2022 -> making sieve job for q = 1095000 in 1095000 .. 1111666 as file 88988_68.job.T0
Fri May 20 23:42:28 2022 -> making sieve job for q = 1111666 in 1111666 .. 1128332 as file 88988_68.job.T1
Fri May 20 23:42:28 2022 -> making sieve job for q = 1128332 in 1128332 .. 1144998 as file 88988_68.job.T2
Fri May 20 23:42:28 2022 -> making sieve job for q = 1144998 in 1144998 .. 1161664 as file 88988_68.job.T3
Fri May 20 23:42:28 2022 -> making sieve job for q = 1161664 in 1161664 .. 1178330 as file 88988_68.job.T4
Fri May 20 23:42:28 2022 -> making sieve job for q = 1178330 in 1178330 .. 1194996 as file 88988_68.job.T5
Fri May 20 23:42:28 2022 -> Lattice sieving rational q from 1095000 to 1195000.
Fri May 20 23:42:28 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T0 -v -n 0 -r 88988_68.job.T0
Fri May 20 23:42:28 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T1 -v -n 1 -r 88988_68.job.T1
Fri May 20 23:42:28 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T2 -v -n 2 -r 88988_68.job.T2
Fri May 20 23:42:28 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T3 -v -n 3 -r 88988_68.job.T3
Fri May 20 23:42:28 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T4 -v -n 4 -r 88988_68.job.T4
Fri May 20 23:42:28 2022 -> gnfs-lasieve4I13e -k -o spairs.out.T5 -v -n 5 -r 88988_68.job.T5
Fri May 20 23:47:57 2022 Found 3858981 relations, 103.5% of the estimated minimum (3727593).
Fri May 20 23:47:57 2022 -> msieve-1.53-SVN998-win64-core2 -s ..\88988_68\88988_68.dat -l ..\88988_68\88988_68.log -i ..\88988_68\88988_68.ini -nf ..\88988_68\88988_68.fb -t 6 -nc1
Fri May 20 23:47:57 2022  
Fri May 20 23:47:57 2022  
Fri May 20 23:47:57 2022  Msieve v. 1.53 (SVN unknown)
Fri May 20 23:47:57 2022  random seeds: f1aa5320 1be7df32
Fri May 20 23:47:57 2022  factoring 3903566895919213328528550217449027435026708712983572780350662837486808080416283558359839365143293503898153696442021 (115 digits)
Fri May 20 23:47:58 2022  searching for 15-digit factors
Fri May 20 23:47:58 2022  commencing number field sieve (115-digit input)
Fri May 20 23:47:58 2022  R0: -10000000000000000000000000000000000
Fri May 20 23:47:58 2022  R1: 1
Fri May 20 23:47:58 2022  A0: -8
Fri May 20 23:47:58 2022  A1: 0
Fri May 20 23:47:58 2022  A2: 9
Fri May 20 23:47:58 2022  A3: 0
Fri May 20 23:47:58 2022  A4: 80
Fri May 20 23:47:58 2022  skew 0.56, size 2.496e-14, alpha 0.475, combined = 5.879e-09 rroots = 2
Fri May 20 23:47:58 2022  
Fri May 20 23:47:58 2022  commencing relation filtering
Fri May 20 23:47:58 2022  estimated available RAM is 32684.9 MB
Fri May 20 23:47:58 2022  commencing duplicate removal, pass 1
Fri May 20 23:48:36 2022  found 441355 hash collisions in 3858980 relations
Fri May 20 23:48:38 2022  added 401725 free relations
Fri May 20 23:48:38 2022  commencing duplicate removal, pass 2
Fri May 20 23:48:39 2022  found 299175 duplicates and 3961530 unique relations
Fri May 20 23:48:39 2022  memory use: 13.3 MB
Fri May 20 23:48:39 2022  reading ideals above 100000
Fri May 20 23:48:39 2022  commencing singleton removal, initial pass
Fri May 20 23:49:13 2022  memory use: 94.1 MB
Fri May 20 23:49:13 2022  reading all ideals from disk
Fri May 20 23:49:13 2022  memory use: 123.5 MB
Fri May 20 23:49:13 2022  keeping 4451089 ideals with weight <= 200, target excess is 23321
Fri May 20 23:49:13 2022  commencing in-memory singleton removal
Fri May 20 23:49:13 2022  begin with 3961530 relations and 4451089 unique ideals
Fri May 20 23:49:14 2022  reduce to 1668239 relations and 1308700 ideals in 11 passes
Fri May 20 23:49:14 2022  max relations containing the same ideal: 112
Fri May 20 23:49:14 2022  removing 506882 relations and 340639 ideals in 166243 cliques
Fri May 20 23:49:14 2022  commencing in-memory singleton removal
Fri May 20 23:49:14 2022  begin with 1161357 relations and 1308700 unique ideals
Fri May 20 23:49:14 2022  reduce to 1074992 relations and 871493 ideals in 6 passes
Fri May 20 23:49:14 2022  max relations containing the same ideal: 86
Fri May 20 23:49:14 2022  removing 427608 relations and 261365 ideals in 166243 cliques
Fri May 20 23:49:15 2022  commencing in-memory singleton removal
Fri May 20 23:49:15 2022  begin with 647384 relations and 871493 unique ideals
Fri May 20 23:49:15 2022  reduce to 569073 relations and 521157 ideals in 9 passes
Fri May 20 23:49:15 2022  max relations containing the same ideal: 52
Fri May 20 23:49:15 2022  removing 79794 relations and 58931 ideals in 20863 cliques
Fri May 20 23:49:15 2022  commencing in-memory singleton removal
Fri May 20 23:49:15 2022  begin with 489279 relations and 521157 unique ideals
Fri May 20 23:49:15 2022  reduce to 477691 relations and 450131 ideals in 6 passes
Fri May 20 23:49:15 2022  max relations containing the same ideal: 49
Fri May 20 23:49:15 2022  relations with 0 large ideals: 1187
Fri May 20 23:49:15 2022  relations with 1 large ideals: 148
Fri May 20 23:49:15 2022  relations with 2 large ideals: 3156
Fri May 20 23:49:15 2022  relations with 3 large ideals: 20622
Fri May 20 23:49:15 2022  relations with 4 large ideals: 67908
Fri May 20 23:49:15 2022  relations with 5 large ideals: 134528
Fri May 20 23:49:15 2022  relations with 6 large ideals: 130038
Fri May 20 23:49:15 2022  relations with 7+ large ideals: 120104
Fri May 20 23:49:15 2022  commencing 2-way merge
Fri May 20 23:49:15 2022  reduce to 311175 relation sets and 283615 unique ideals
Fri May 20 23:49:15 2022  commencing full merge
Fri May 20 23:49:18 2022  memory use: 36.9 MB
Fri May 20 23:49:18 2022  found 155593 cycles, need 151815
Fri May 20 23:49:18 2022  weight of 151815 cycles is about 10859537 (71.53/cycle)
Fri May 20 23:49:18 2022  distribution of cycle lengths:
Fri May 20 23:49:18 2022  1 relations: 11232
Fri May 20 23:49:18 2022  2 relations: 13575
Fri May 20 23:49:18 2022  3 relations: 15249
Fri May 20 23:49:18 2022  4 relations: 15810
Fri May 20 23:49:18 2022  5 relations: 15481
Fri May 20 23:49:18 2022  6 relations: 14200
Fri May 20 23:49:18 2022  7 relations: 12877
Fri May 20 23:49:18 2022  8 relations: 10923
Fri May 20 23:49:18 2022  9 relations: 9349
Fri May 20 23:49:18 2022  10+ relations: 33119
Fri May 20 23:49:18 2022  heaviest cycle: 22 relations
Fri May 20 23:49:18 2022  commencing cycle optimization
Fri May 20 23:49:18 2022  start with 986293 relations
Fri May 20 23:49:19 2022  pruned 38507 relations
Fri May 20 23:49:19 2022  memory use: 29.5 MB
Fri May 20 23:49:19 2022  distribution of cycle lengths:
Fri May 20 23:49:19 2022  1 relations: 11232
Fri May 20 23:49:19 2022  2 relations: 13896
Fri May 20 23:49:19 2022  3 relations: 15904
Fri May 20 23:49:19 2022  4 relations: 16478
Fri May 20 23:49:19 2022  5 relations: 16117
Fri May 20 23:49:19 2022  6 relations: 14947
Fri May 20 23:49:19 2022  7 relations: 13360
Fri May 20 23:49:19 2022  8 relations: 11161
Fri May 20 23:49:19 2022  9 relations: 9468
Fri May 20 23:49:19 2022  10+ relations: 29252
Fri May 20 23:49:19 2022  heaviest cycle: 21 relations
Fri May 20 23:49:19 2022  RelProcTime: 81
Fri May 20 23:49:19 2022  elapsed time 00:01:22
Fri May 20 23:49:19 2022 LatSieveTime: 410.683
Fri May 20 23:49:19 2022 -> Running matrix solving step ...
Fri May 20 23:49:19 2022 -> msieve-1.53-SVN998-win64-core2 -s ..\88988_68\88988_68.dat -l ..\88988_68\88988_68.log -i ..\88988_68\88988_68.ini -nf ..\88988_68\88988_68.fb -t 6 -nc2
Fri May 20 23:49:19 2022  
Fri May 20 23:49:19 2022  
Fri May 20 23:49:19 2022  Msieve v. 1.53 (SVN unknown)
Fri May 20 23:49:19 2022  random seeds: 185e6658 fea11ea4
Fri May 20 23:49:19 2022  factoring 3903566895919213328528550217449027435026708712983572780350662837486808080416283558359839365143293503898153696442021 (115 digits)
Fri May 20 23:49:19 2022  searching for 15-digit factors
Fri May 20 23:49:20 2022  commencing number field sieve (115-digit input)
Fri May 20 23:49:20 2022  R0: -10000000000000000000000000000000000
Fri May 20 23:49:20 2022  R1: 1
Fri May 20 23:49:20 2022  A0: -8
Fri May 20 23:49:20 2022  A1: 0
Fri May 20 23:49:20 2022  A2: 9
Fri May 20 23:49:20 2022  A3: 0
Fri May 20 23:49:20 2022  A4: 80
Fri May 20 23:49:20 2022  skew 0.56, size 2.496e-14, alpha 0.475, combined = 5.879e-09 rroots = 2
Fri May 20 23:49:20 2022  
Fri May 20 23:49:20 2022  commencing linear algebra
Fri May 20 23:49:20 2022  read 151815 cycles
Fri May 20 23:49:20 2022  cycles contain 460081 unique relations
Fri May 20 23:49:23 2022  read 460081 relations
Fri May 20 23:49:24 2022  using 20 quadratic characters above 4294917295
Fri May 20 23:49:25 2022  building initial matrix
Fri May 20 23:49:28 2022  memory use: 55.5 MB
Fri May 20 23:49:28 2022  read 151815 cycles
Fri May 20 23:49:28 2022  matrix is 151637 x 151815 (45.0 MB) with weight 13506812 (88.97/col)
Fri May 20 23:49:28 2022  sparse part has weight 10266935 (67.63/col)
Fri May 20 23:49:29 2022  filtering completed in 2 passes
Fri May 20 23:49:29 2022  matrix is 151573 x 151751 (44.9 MB) with weight 13504284 (88.99/col)
Fri May 20 23:49:29 2022  sparse part has weight 10265739 (67.65/col)
Fri May 20 23:49:29 2022  matrix starts at (0, 0)
Fri May 20 23:49:29 2022  matrix is 151573 x 151751 (44.9 MB) with weight 13504284 (88.99/col)
Fri May 20 23:49:29 2022  sparse part has weight 10265739 (67.65/col)
Fri May 20 23:49:29 2022  saving the first 48 matrix rows for later
Fri May 20 23:49:29 2022  matrix includes 64 packed rows
Fri May 20 23:49:29 2022  matrix is 151525 x 151751 (42.6 MB) with weight 10647064 (70.16/col)
Fri May 20 23:49:29 2022  sparse part has weight 9652292 (63.61/col)
Fri May 20 23:49:29 2022  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Fri May 20 23:49:30 2022  commencing Lanczos iteration
Fri May 20 23:49:30 2022  memory use: 32.5 MB
Fri May 20 23:49:33 2022  linear algebra at 8.0%, ETA 0h 0m
Fri May 20 23:50:14 2022  lanczos halted after 2398 iterations (dim = 151521)
Fri May 20 23:50:14 2022  recovered 34 nontrivial dependencies
Fri May 20 23:50:14 2022  BLanczosTime: 54
Fri May 20 23:50:14 2022  elapsed time 00:00:55
Fri May 20 23:50:14 2022 -> Running square root step ...
Fri May 20 23:50:14 2022 -> msieve-1.53-SVN998-win64-core2 -s ..\88988_68\88988_68.dat -l ..\88988_68\88988_68.log -i ..\88988_68\88988_68.ini -nf ..\88988_68\88988_68.fb -t 6 -nc3
Fri May 20 23:50:14 2022  
Fri May 20 23:50:14 2022  
Fri May 20 23:50:14 2022  Msieve v. 1.53 (SVN unknown)
Fri May 20 23:50:14 2022  random seeds: 98354d44 1752dced
Fri May 20 23:50:14 2022  factoring 3903566895919213328528550217449027435026708712983572780350662837486808080416283558359839365143293503898153696442021 (115 digits)
Fri May 20 23:50:14 2022  searching for 15-digit factors
Fri May 20 23:50:15 2022  commencing number field sieve (115-digit input)
Fri May 20 23:50:15 2022  R0: -10000000000000000000000000000000000
Fri May 20 23:50:15 2022  R1: 1
Fri May 20 23:50:15 2022  A0: -8
Fri May 20 23:50:15 2022  A1: 0
Fri May 20 23:50:15 2022  A2: 9
Fri May 20 23:50:15 2022  A3: 0
Fri May 20 23:50:15 2022  A4: 80
Fri May 20 23:50:15 2022  skew 0.56, size 2.496e-14, alpha 0.475, combined = 5.879e-09 rroots = 2
Fri May 20 23:50:15 2022  
Fri May 20 23:50:15 2022  commencing square root phase
Fri May 20 23:50:15 2022  reading relations for dependency 1
Fri May 20 23:50:15 2022  read 75862 cycles
Fri May 20 23:50:15 2022  cycles contain 229224 unique relations
Fri May 20 23:50:17 2022  read 229224 relations
Fri May 20 23:50:17 2022  multiplying 229224 relations
Fri May 20 23:50:19 2022  multiply complete, coefficients have about 6.15 million bits
Fri May 20 23:50:19 2022  initial square root is modulo 12008861
Fri May 20 23:50:22 2022  GCD is 1, no factor found
Fri May 20 23:50:22 2022  reading relations for dependency 2
Fri May 20 23:50:22 2022  read 75819 cycles
Fri May 20 23:50:22 2022  cycles contain 229898 unique relations
Fri May 20 23:50:24 2022  read 229898 relations
Fri May 20 23:50:24 2022  multiplying 229898 relations
Fri May 20 23:50:26 2022  multiply complete, coefficients have about 6.17 million bits
Fri May 20 23:50:26 2022  initial square root is modulo 12593803
Fri May 20 23:50:28 2022  sqrtTime: 13
Fri May 20 23:50:28 2022  p33 factor: 734533090968683858045467364975249
Fri May 20 23:50:28 2022  p82 factor: 5314351312302740501885543554459228850666757217653688657034043804291566895730390229
Fri May 20 23:50:28 2022  elapsed time 00:00:14
Fri May 20 23:50:28 2022 -> Computing time scale for this machine...
Fri May 20 23:50:28 2022 -> procrels -speedtest> PIPE

166472332071910656324461798471960479118645850376104393262135872845372840565134022521316292914851599041849053487973106934607<123>

33664104744150364879631139944624785691028583217891<50>
4945099040568951454022441846902980623548960771888200788865483369197127077<73>

Sun May 22 15:35:13 2022  Msieve v. 1.53 (SVN unknown)
Sun May 22 15:35:13 2022  random seeds: 09bbfb90 e6ca7359
Sun May 22 15:35:13 2022  factoring 166472332071910656324461798471960479118645850376104393262135872845372840565134022521316292914851599041849053487973106934607 (123 digits)
Sun May 22 15:35:13 2022  searching for 15-digit factors
Sun May 22 15:35:13 2022  commencing number field sieve (123-digit input)
Sun May 22 15:35:13 2022  R0: -100000000000000000000000000000000000
Sun May 22 15:35:13 2022  R1: 1
Sun May 22 15:35:13 2022  A0: -8
Sun May 22 15:35:13 2022  A1: 0
Sun May 22 15:35:13 2022  A2: 9
Sun May 22 15:35:13 2022  A3: 0
Sun May 22 15:35:13 2022  A4: 80
Sun May 22 15:35:13 2022  skew 0.56, size 9.938e-15, alpha 0.475, combined = 3.711e-09 rroots = 2
Sun May 22 15:35:13 2022  
Sun May 22 15:35:13 2022  commencing square root phase
Sun May 22 15:35:13 2022  reading relations for dependency 1
Sun May 22 15:35:13 2022  read 95051 cycles
Sun May 22 15:35:13 2022  cycles contain 267400 unique relations
Sun May 22 15:35:16 2022  read 267400 relations
Sun May 22 15:35:16 2022  multiplying 267400 relations
Sun May 22 15:35:19 2022  multiply complete, coefficients have about 7.24 million bits
Sun May 22 15:35:19 2022  initial square root is modulo 210739987
Sun May 22 15:35:22 2022  GCD is 1, no factor found
Sun May 22 15:35:22 2022  reading relations for dependency 2
Sun May 22 15:35:22 2022  read 94827 cycles
Sun May 22 15:35:22 2022  cycles contain 267086 unique relations
Sun May 22 15:35:24 2022  read 267086 relations
Sun May 22 15:35:25 2022  multiplying 267086 relations
Sun May 22 15:35:27 2022  multiply complete, coefficients have about 7.23 million bits
Sun May 22 15:35:27 2022  initial square root is modulo 206553511
Sun May 22 15:35:30 2022  sqrtTime: 17
Sun May 22 15:35:30 2022  p50 factor: 33664104744150364879631139944624785691028583217891
Sun May 22 15:35:30 2022  p73 factor: 4945099040568951454022441846902980623548960771888200788865483369197127077
Sun May 22 15:35:30 2022  elapsed time 00:00:17
Sun May 22 15:35:30 2022 -> Computing time scale for this machine...
Sun May 22 15:35:30 2022 -> procrels -speedtest> PIPE

4230320127476229771374316839289017461431369797716803050450710985527949578808635754031381871937854698085975941035861<115>

9800145387689079974622716774129901644880987271774037<52>
431658915263680491457463154046756372983536035831155986251978753<63>

4230320127476229771374316839289017461431369797716803050450710985527949578808635754031381871937854698085975941035861=9800145387689079974622716774129901644880987271774037*431658915263680491457463154046756372983536035831155986251978753

cado polynomial
n: 4230320127476229771374316839289017461431369797716803050450710985527949578808635754031381871937854698085975941035861
skew: 0.89
type: snfs
c0: -20
c2: 9
c4: 32
Y0: 500000000000000000000000000000000000
Y1: -1
# f(x) = 32*x^4+9*x^2-20
# g(x) = -x+50000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1780000
tasks.lim1 = 1780000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 49
tasks.sieve.mfb1 = 49
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 9800145387689079974622716774129901644880987271774037 431658915263680491457463154046756372983536035831155986251978753
Info:Square Root: Total cpu/real time for sqrt: 100.03/77.0493
Info:Filtering - Singleton removal: Total cpu/real time for purge: 39.99/58.6456
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6090377
Info:Lattice Sieving: Average J: 1893.94 for 100308 special-q, max bucket fill -bkmult 1.0,1s:1.313520
Info:Lattice Sieving: Total time: 18177.9s
Info:Linear Algebra: Total cpu/real time for bwc: 696.16/672.23
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 340.74, WCT time 336.83, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (6144 iterations)
Info:Linear Algebra: Lingen CPU time 149.23, WCT time 128.69
Info:Linear Algebra: Mksol: CPU time 187.79,  WCT time 189.29, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (3072 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 44.78/30.564
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 23.54/39.3325
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 39.1s
Info:Filtering - Merging: Merged matrix has 195293 rows and total weight 33330295 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 44.28/35.1445
Info:Filtering - Merging: Total cpu/real time for replay: 6.77/7.65545
Info:Generate Factor Base: Total cpu/real time for makefb: 1.14/1.53486
Info:Quadratic Characters: Total cpu/real time for characters: 6.46/5.34709
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 51.71/78.2158
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 70.4s
Info:Square Root: Total cpu/real time for sqrt: 100.03/77.0493
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 17439.2/10278.1
Info:root: Cleaning up computation data in /tmp/cado.wz7snu0b
9800145387689079974622716774129901644880987271774037 431658915263680491457463154046756372983536035831155986251978753

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)

223425341270800434185602692000108576613465249552155677196486387069678169173466757401632748227082443700183738661260431434964491617<129>

32207265179002912375936022098360093870946561328356251988087<59>
6937109997667841126243919943747940829371194587308412466971170833641191<70>

223425341270800434185602692000108576613465249552155677196486387069678169173466757401632748227082443700183738661260431434964491617=32207265179002912375936022098360093870946561328356251988087*6937109997667841126243919943747940829371194587308412466971170833641191

cado polynomial
n: 223425341270800434185602692000108576613465249552155677196486387069678169173466757401632748227082443700183738661260431434964491617
skew: 0.56
type: snfs
c0: -8
c2: 9
c4: 80
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 80*x^4+9*x^2-8
# g(x) = -x+1000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2200000
tasks.lim1 = 2200000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 49
tasks.sieve.mfb1 = 49
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 6937109997667841126243919943747940829371194587308412466971170833641191 32207265179002912375936022098360093870946561328356251988087
Info:Square Root: Total cpu/real time for sqrt: 50.79/20.5029
Info:Filtering - Singleton removal: Total cpu/real time for purge: 30.33/35.6112
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6036393
Info:Lattice Sieving: Average J: 1895.85 for 210594 special-q, max bucket fill -bkmult 1.0,1s:1.359130
Info:Lattice Sieving: Total time: 24658.4s
Info:Linear Algebra: Total cpu/real time for bwc: 8435.99/3017.11
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 823.87, WCT time 346.95, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (9600 iterations)
Info:Linear Algebra: Lingen CPU time 7132.82, WCT time 2463.16
Info:Linear Algebra: Mksol: CPU time 451.84,  WCT time 192.38, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (4864 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 44.09/17.0246
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 23.7/28.6291
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 28.5s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 50.87/63.3199
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 52.3s
Info:Filtering - Merging: Merged matrix has 305627 rows and total weight 51987860 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 65.87/25.0041
Info:Filtering - Merging: Total cpu/real time for replay: 10.05/8.41576
Info:Generate Factor Base: Total cpu/real time for makefb: 1.37/1.22084
Info:Quadratic Characters: Total cpu/real time for characters: 9.8/4.86142
Info:Square Root: Total cpu/real time for sqrt: 50.79/20.5029
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 41575.4/15665.1
Info:root: Cleaning up computation data in /tmp/cado.ro88mip1
6937109997667841126243919943747940829371194587308412466971170833641191 32207265179002912375936022098360093870946561328356251988087

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)

53880494496428076132125770156338726862429266427681888547539792105668098169038558773067000755905621438738408480432067254322900771078907493877519<143>

1369422096872286536385561946658000296414460753994924779059<58>
39345425066156951785120059265337996703369673190890398521515458027488811317194692437941<86>

Number: n
N=53880494496428076132125770156338726862429266427681888547539792105668098169038558773067000755905621438738408480432067254322900771078907493877519  ( 143 digits)
SNFS difficulty: 152 digits.
Divisors found:

Thu May 19 13:23:10 2022  p58 factor: 1369422096872286536385561946658000296414460753994924779059
Thu May 19 13:23:10 2022  p86 factor: 39345425066156951785120059265337996703369673190890398521515458027488811317194692437941
Thu May 19 13:23:10 2022  elapsed time 00:05:01 (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 = 8x10^151+9x10^75-8 = 8(75)98(75)
#
n: 53880494496428076132125770156338726862429266427681888547539792105668098169038558773067000755905621438738408480432067254322900771078907493877519
m: 50000000000000000000000000000000000000
deg: 4
c4: 32
c2: 9
c0: -20
skew: 0.89
# Murphy_E = 1.41e-09
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 6800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1518330 hash collisions in 14803027 relations (14757055 unique)
Msieve: matrix is 305758 x 305984 (101.3 MB)

Sieving start time : 2022/05/19 12:51:01
Sieving end time  : 2022/05/19 13:17:29

Total sieving time: 0hrs 26min 28secs.

Total relation processing time: 0hrs 1min 33sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 10sec.

Prototype def-par.txt line would be:
snfs,152,4,0,0,0,0,0,0,0,0,2400000,2400000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] 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)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

6547542903130395993850174771051567940182459466302227278222320049531381199380019271996276553055366220693207344840694648241057<124>

509746967669728582875621275388666155415833653<45>
12844692206923790258929717901924632619040284052886655827149648762294344598923069<80>

6547542903130395993850174771051567940182459466302227278222320049531381199380019271996276553055366220693207344840694648241057=509746967669728582875621275388666155415833653*12844692206923790258929717901924632619040284052886655827149648762294344598923069

cado polynomial
n: 6547542903130395993850174771051567940182459466302227278222320049531381199380019271996276553055366220693207344840694648241057
skew: 0.47
type: snfs
c0: -8
c2: 9
c4: 80
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 80*x^4+9*x^2-8
# g(x) = -x+10000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2600000
tasks.lim1 = 2600000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 50
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: 509746967669728582875621275388666155415833653 12844692206923790258929717901924632619040284052886655827149648762294344598923069
Info:Square Root: Total cpu/real time for sqrt: 53.89/17.0696
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11636159
Info:Lattice Sieving: Average J: 1919.28 for 358765 special-q, max bucket fill -bkmult 1.0,1s:1.320060
Info:Lattice Sieving: Total time: 35605.9s
Info:Generate Free Relations: Total cpu/real time for freerel: 87.62/24.5628
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.67/49.5673
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 49.5s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 99.29/83.7974
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 74.80000000000001s
Info:Filtering - Merging: Merged matrix has 340505 rows and total weight 58029274 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 68.2/19.0478
Info:Filtering - Merging: Total cpu/real time for replay: 10.66/8.85253
Info:Linear Algebra: Total cpu/real time for bwc: 1592.66/411.56
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 977.16, WCT time 249.69, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (10752 iterations)
Info:Linear Algebra: Lingen CPU time 51.72, WCT time 13.2
Info:Linear Algebra: Mksol: CPU time 534.13,  WCT time 136.53, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (5376 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 1.6/0.889417
Info:Quadratic Characters: Total cpu/real time for characters: 10.75/4.20881
Info:Square Root: Total cpu/real time for sqrt: 53.89/17.0696
Info:Filtering - Singleton removal: Total cpu/real time for purge: 77.79/69.8692
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 67268.4/18623.1
Info:root: Cleaning up computation data in /tmp/cado.jmiwbmpz
509746967669728582875621275388666155415833653 12844692206923790258929717901924632619040284052886655827149648762294344598923069

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)

118993266697567678230707989818082673533247684257433472561223182069655838226103104959574054524719725091108177<108>

4256280948289465748405417800446985615027<40>
27957098730850756735182068476797935113876220063211705543616054953451<68>

118993266697567678230707989818082673533247684257433472561223182069655838226103104959574054524719725091108177=4256280948289465748405417800446985615027*27957098730850756735182068476797935113876220063211705543616054953451

cado polynomial
n: 118993266697567678230707989818082673533247684257433472561223182069655838226103104959574054524719725091108177
skew: 2642.998
c0: -85552707866817468602766
c1: -44901650660285080631
c2: 28401345382968024
c3: -18119645259841
c4: 2342792790
c5: 948600
Y0: -324526270969043591456
Y1: 7153724371989383
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 2.148e-06
# f(x) = 948600*x^5+2342792790*x^4-18119645259841*x^3+28401345382968024*x^2-44901650660285080631*x-85552707866817468602766
# g(x) = 7153724371989383*x-324526270969043591456

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: 4256280948289465748405417800446985615027 27957098730850756735182068476797935113876220063211705543616054953451
Info:Square Root: Total cpu/real time for sqrt: 165.47/47.9984
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 70.07/75.5522
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 54.5s
Info:Generate Free Relations: Total cpu/real time for freerel: 62.8/16.3655
Info:Square Root: Total cpu/real time for sqrt: 165.47/47.9984
Info:Filtering - Singleton removal: Total cpu/real time for purge: 47.03/53.5527
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 4862547
Info:Lattice Sieving: Average J: 1892.97 for 59859 special-q, max bucket fill -bkmult 1.0,1s:1.262620
Info:Lattice Sieving: Total time: 6145.9s
Info:Generate Factor Base: Total cpu/real time for makefb: 2.28/0.615705
Info:Linear Algebra: Total cpu/real time for bwc: 928.07/242.49
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 555.71, WCT time 143.9, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8704 iterations)
Info:Linear Algebra: Lingen CPU time 43.46, WCT time 11.07
Info:Linear Algebra: Mksol: CPU time 307.24,  WCT time 78.95, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4352 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 19.17/20.5133
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: 251.19
Info:Polynomial Selection (root optimized): Rootsieve time: 250.18
Info:Filtering - Merging: Merged matrix has 274709 rows and total weight 42879503 (156.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 41.88/12.5413
Info:Filtering - Merging: Total cpu/real time for replay: 9.24/7.48079
Info:Quadratic Characters: Total cpu/real time for characters: 10.45/4.05378
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): 11415/31.220/37.888/43.670/1.050
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 8721/30.150/33.627/38.440/0.859
Info:Polynomial Selection (size optimized): Total time: 750.42
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 13431.5/3792.81
Info:root: Cleaning up computation data in /tmp/cado.uztvvp05
4256280948289465748405417800446985615027 27957098730850756735182068476797935113876220063211705543616054953451

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)

203128173877716839325614462725980093438959983749746089782652853950842981921592527168393256144627259800934389599837497460897826528539508429819215925248832013<156>

359029004322856951703055061506839264001838156591511797529<57>
565770930570984625295803570075174754120806287375469092025913986512925861190110219170394899688197397<99>

Number: n
N=203128173877716839325614462725980093438959983749746089782652853950842981921592527168393256144627259800934389599837497460897826528539508429819215925248832013  ( 156 digits)
SNFS difficulty: 160 digits.
Divisors found:

Thu May 19 09:36:28 2022  p57 factor: 359029004322856951703055061506839264001838156591511797529
Thu May 19 09:36:28 2022  p99 factor: 565770930570984625295803570075174754120806287375469092025913986512925861190110219170394899688197397
Thu May 19 09:36:28 2022  elapsed time 00:07:41 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.347).
Factorization parameters were as follows:
#
# N = 8x10^159+9x10^79-8 = 8(79)98(79)
#
n: 203128173877716839325614462725980093438959983749746089782652853950842981921592527168393256144627259800934389599837497460897826528539508429819215925248832013
m: 5000000000000000000000000000000000000000
deg: 4
c4: 32
c2: 9
c0: -20
skew: 0.89
# Murphy_E = 5.421e-10
type: snfs
lss: 1
rlim: 3300000
alim: 3300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3300000/3300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 14450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1777956 hash collisions in 14781629 relations (14407416 unique)
Msieve: matrix is 469827 x 470057 (159.2 MB)

Sieving start time : 2022/05/19 07:56:30
Sieving end time  : 2022/05/19 09:27:58

Total sieving time: 1hrs 31min 28secs.

Total relation processing time: 0hrs 3min 28sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 52sec.

Prototype def-par.txt line would be:
snfs,160,4,0,0,0,0,0,0,0,0,3300000,3300000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] 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)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

75985489570797413482201612176381703672500515696420981848615885668846478362936942020171091344656175807554273883987608252927178946658460628917566314157139<152>

30666977506193595109190875587011927716924348059038737336469<59>
2477762588616734571628680441997020591373187415073874670113444642801955830162311554155016431431<94>

Number: n
N=75985489570797413482201612176381703672500515696420981848615885668846478362936942020171091344656175807554273883987608252927178946658460628917566314157139  ( 152 digits)
SNFS difficulty: 161 digits.
Divisors found:

Sat May 21 01:46:40 2022  p59 factor: 30666977506193595109190875587011927716924348059038737336469
Sat May 21 01:46:40 2022  p94 factor: 2477762588616734571628680441997020591373187415073874670113444642801955830162311554155016431431
Sat May 21 01:46:40 2022  elapsed time 00:08:16 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.315).
Factorization parameters were as follows:
#
# N = 8x10^161+9x10^80-8 = 8(80)98(80)
#
n: 75985489570797413482201612176381703672500515696420981848615885668846478362936942020171091344656175807554273883987608252927178946658460628917566314157139
m: 10000000000000000000000000000000000000000
deg: 4
c4: 80
c2: 9
c0: -8
skew: 0.56
# Murphy_E = 3.483e-10
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 14550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2352528 hash collisions in 15633180 relations (14604262 unique)
Msieve: matrix is 545712 x 545941 (184.1 MB)

Sieving start time : 2022/05/21 00:41:42
Sieving end time  : 2022/05/21 01:38:00

Total sieving time: 0hrs 56min 18secs.

Total relation processing time: 0hrs 4min 21sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 20sec.

Prototype def-par.txt line would be:
snfs,161,4,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] 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)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

30411981143470966042801664901566450210329918644721437335382602875008437863071671668850284602988860689380932130362123837684871991315258479455405863<146>

22568442929498549055748114515553002122719<41>
3312731905021255877831094728377521519231310632301<49>
406777408690707822224320476946341584706020061534414356477<57>

Number: n
N=30411981143470966042801664901566450210329918644721437335382602875008437863071671668850284602988860689380932130362123837684871991315258479455405863  ( 146 digits)
SNFS difficulty: 164 digits.
Divisors found:

Sun May 22 22:51:51 2022  found factor: 3312731905021255877831094728377521519231310632301
Sun May 22 22:52:11 2022  p41 factor: 22568442929498549055748114515553002122719
Sun May 22 22:52:11 2022  p49 factor: 3312731905021255877831094728377521519231310632301
Sun May 22 22:52:11 2022  p57 factor: 406777408690707822224320476946341584706020061534414356477
Sun May 22 22:52:11 2022  elapsed time 00:08:34 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.318).
Factorization parameters were as follows:
#
# N = 8x10^163+9x10^81-8 = 8(81)98(81)
#
n: 30411981143470966042801664901566450210329918644721437335382602875008437863071671668850284602988860689380932130362123837684871991315258479455405863
m: 50000000000000000000000000000000000000000
deg: 4
c4: 32
c2: 9
c0: -20
skew: 0.89
# Murphy_E = 3.341e-10
type: snfs
lss: 1
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 14700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2320301 hash collisions in 15583534 relations (14593344 unique)
Msieve: matrix is 545365 x 545595 (184.3 MB)

Sieving start time : 2022/05/22 21:45:37
Sieving end time  : 2022/05/22 22:43:17

Total sieving time: 0hrs 57min 40secs.

Total relation processing time: 0hrs 4min 21sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 40sec.

Prototype def-par.txt line would be:
snfs,164,4,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] 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)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

108907155939831732678653468825783782407473399867957753565564569125104581133430103934910636966148471494637888574845357860169071<126>

56256065937586073463965348786834795523435122353685999<53>
1935918449410593420448567466354412535887825574954932670210600873778124929<73>

108907155939831732678653468825783782407473399867957753565564569125104581133430103934910636966148471494637888574845357860169071=56256065937586073463965348786834795523435122353685999*1935918449410593420448567466354412535887825574954932670210600873778124929

cado polynomial
n: 108907155939831732678653468825783782407473399867957753565564569125104581133430103934910636966148471494637888574845357860169071
skew: 0.89
type: snfs
c0: -20
c2: 9
c4: 32
Y0: 5000000000000000000000000000000000000000000
Y1: -1
# f(x) = 32*x^4+9*x^2-20
# g(x) = -x+5000000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 5200000
tasks.lim1 = 5200000
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: 1935918449410593420448567466354412535887825574954932670210600873778124929 56256065937586073463965348786834795523435122353685999
Info:Square Root: Total cpu/real time for sqrt: 238.67/77.9795
Info:Filtering - Singleton removal: Total cpu/real time for purge: 166.12/197.257
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13678116
Info:Lattice Sieving: Average J: 1894.1 for 1564374 special-q, max bucket fill -bkmult 1.0,1s:1.228430
Info:Lattice Sieving: Total time: 251406s
Info:Linear Algebra: Total cpu/real time for bwc: 19989.6/5131.26
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 12684.61, WCT time 3244.66, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (35328 iterations)
Info:Linear Algebra: Lingen CPU time 222.67, WCT time 56.41
Info:Linear Algebra: Mksol: CPU time 6893.47,  WCT time 1760.73, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (17664 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 58.18/62.44
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 62.0s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 222.94/224.149
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 176.39999999999995s
Info:Filtering - Merging: Merged matrix has 1125388 rows and total weight 192621237 (171.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 266.38/74.443
Info:Filtering - Merging: Total cpu/real time for replay: 41.12/34.7927
Info:Generate Factor Base: Total cpu/real time for makefb: 3.3/1.84831
Info:Quadratic Characters: Total cpu/real time for characters: 38.14/15.182
Info:Square Root: Total cpu/real time for sqrt: 238.67/77.9795
Info:Generate Free Relations: Total cpu/real time for freerel: 88.31/24.0558
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 492922/79957.7
Info:root: Cleaning up computation data in /tmp/cado.hk0uj9s6
1935918449410593420448567466354412535887825574954932670210600873778124929 56256065937586073463965348786834795523435122353685999

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)

315942221828762229573741405687371387692748322365686914327144290082867112394801728881671203154160901053670872264417794799725639<126>

2451449286607586400878069411844863513822702757045907<52>
128879770654352681385990634462809755322511652973516855287068420328323604477<75>

315942221828762229573741405687371387692748322365686914327144290082867112394801728881671203154160901053670872264417794799725639=2451449286607586400878069411844863513822702757045907*128879770654352681385990634462809755322511652973516855287068420328323604477

cado polynomial
n: 315942221828762229573741405687371387692748322365686914327144290082867112394801728881671203154160901053670872264417794799725639
skew: 1.47
type: snfs
c0: -80
c3: 9
c6: 8
Y0: 100000000000000000000000000000
Y1: -1
# f(x) = 8*x^6+9*x^3-80
# g(x) = -x+100000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 5800000
tasks.lim1 = 5800000
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: 128879770654352681385990634462809755322511652973516855287068420328323604477 2451449286607586400878069411844863513822702757045907
Info:Square Root: Total cpu/real time for sqrt: 214.45/78.0598
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11628909
Info:Lattice Sieving: Average J: 1894.9 for 570558 special-q, max bucket fill -bkmult 1.0,1s:1.255960
Info:Lattice Sieving: Total time: 131467s
Info:Generate Free Relations: Total cpu/real time for freerel: 111.16/37.0638
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 47.64/60.8728
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 60.7s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 114.83/118.612
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 103.6s
Info:Filtering - Merging: Merged matrix has 868864 rows and total weight 148444297 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 202.74/73.9638
Info:Filtering - Merging: Total cpu/real time for replay: 33.3/28.3067
Info:Linear Algebra: Total cpu/real time for bwc: 12283.1/4848.32
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 7264.47, WCT time 2864.48, iteration CPU time 0.08, COMM 0.0, cpu-wait 0.02, comm-wait 0.0 (27392 iterations)
Info:Linear Algebra: Lingen CPU time 928.68, WCT time 330.52
Info:Linear Algebra: Mksol: CPU time 3957.57,  WCT time 1588.28, iteration CPU time 0.09, COMM 0.0, cpu-wait 0.02, comm-wait 0.0 (13824 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 4.69/3.15433
Info:Quadratic Characters: Total cpu/real time for characters: 30.68/15.2055
Info:Square Root: Total cpu/real time for sqrt: 214.45/78.0598
Info:Filtering - Singleton removal: Total cpu/real time for purge: 45.25/79.5138
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 229303/39777.3
Info:root: Cleaning up computation data in /tmp/cado.fap234zj
128879770654352681385990634462809755322511652973516855287068420328323604477 2451449286607586400878069411844863513822702757045907

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)

3020063597376771349979625844675941966683869305643370633618809027660725021241472498587158146273697368691680728437587177039919683409220032267162809963<148>

33316897678446821001607480366567268298870554859110987917160897<62>
90646603009814260414959905511187292050242258883162722598791250552217771170804497390379<86>

Number: n
N=3020063597376771349979625844675941966683869305643370633618809027660725021241472498587158146273697368691680728437587177039919683409220032267162809963  ( 148 digits)
SNFS difficulty: 175 digits.
Divisors found:

Mon May 23 12:20:50 2022  p62 factor: 33316897678446821001607480366567268298870554859110987917160897
Mon May 23 12:20:50 2022  p86 factor: 90646603009814260414959905511187292050242258883162722598791250552217771170804497390379
Mon May 23 12:20:50 2022  elapsed time 00:13:33 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.344).
Factorization parameters were as follows:
#
# N = 8x10^175+9x10^87-8 = 8(87)98(87)
#
n: 3020063597376771349979625844675941966683869305643370633618809027660725021241472498587158146273697368691680728437587177039919683409220032267162809963
m: 100000000000000000000000000000
deg: 6
c6: 80
c3: 9
c0: -8
skew: 0.68
# Murphy_E = 9.486e-11
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, 15800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3376093 hash collisions in 28876300 relations (26852908 unique)
Msieve: matrix is 661309 x 661538 (220.9 MB)

Sieving start time : 2022/05/23 08:43:35
Sieving end time  : 2022/05/23 12:06:22

Total sieving time: 3hrs 22min 47secs.

Total relation processing time: 0hrs 6min 7sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 41sec.

Prototype def-par.txt line would be:
snfs,175,6,0,0,0,0,0,0,0,0,6000000,6000000,28,28,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] 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)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

172723911369546353445336088336732386262530646789178840253082846754685736628007521595476656821933618290215151540244578058328910990234617454757294004956834515138379241639<168>

1073893763936190199736675912343771338842537406507522957522461508809<67>
160838918308319232122069607527535729159433945814122153102984010476789860090096895880943334160007141871<102>

Number: n
N=172723911369546353445336088336732386262530646789178840253082846754685736628007521595476656821933618290215151540244578058328910990234617454757294004956834515138379241639  ( 168 digits)
SNFS difficulty: 180 digits.
Divisors found:

Fri May 27 13:13:00 2022  p67 factor: 1073893763936190199736675912343771338842537406507522957522461508809
Fri May 27 13:13:00 2022  p102 factor: 160838918308319232122069607527535729159433945814122153102984010476789860090096895880943334160007141871
Fri May 27 13:13:00 2022  elapsed time 00:20:29 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.353).
Factorization parameters were as follows:
#
# N = 8x10^179+9x10^89-8 = 8(89)98(89)
#
n: 172723911369546353445336088336732386262530646789178840253082846754685736628007521595476656821933618290215151540244578058328910990234617454757294004956834515138379241639
m: 1000000000000000000000000000000
deg: 6
c6: 8
c3: 9
c0: -80
skew: 1.47
# Murphy_E = 6.601e-11
type: snfs
lss: 1
rlim: 7200000
alim: 7200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3436029 hash collisions in 29645850 relations (27630554 unique)
Msieve: matrix is 818515 x 818742 (277.4 MB)

Sieving start time : 2022/05/27 09:49:08
Sieving end time  : 2022/05/27 12:52:02

Total sieving time: 3hrs 2min 54secs.

Total relation processing time: 0hrs 9min 48sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 39sec.

Prototype def-par.txt line would be:
snfs,180,6,0,0,0,0,0,0,0,0,7200000,7200000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] 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)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

1915842164031887183694381871468244625485724234776097034521223346781796729305807027837713263953110921784281872479058148737378821734408456085084758941976984525366243<163>

342586916033613180620883229315636192069<39>
16199556300540343026294533333559337726992415970349143<53>
345211961076303138024061281777360711677147053537627799681782986332741329<72>

Number: n
N=1915842164031887183694381871468244625485724234776097034521223346781796729305807027837713263953110921784281872479058148737378821734408456085084758941976984525366243  ( 163 digits)
SNFS difficulty: 183 digits.
Divisors found:

Sun May 29 13:29:42 2022  found factor: 342586916033613180620883229315636192069
Sun May 29 13:31:13 2022  found factor: 342586916033613180620883229315636192069
Sun May 29 13:32:44 2022  p39 factor: 342586916033613180620883229315636192069
Sun May 29 13:32:44 2022  p53 factor: 16199556300540343026294533333559337726992415970349143
Sun May 29 13:32:44 2022  p72 factor: 345211961076303138024061281777360711677147053537627799681782986332741329
Sun May 29 13:32:44 2022  elapsed time 00:29:19 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 8x10^183+9x10^91-8 = 8(91)98(91)
#
n: 1915842164031887183694381871468244625485724234776097034521223346781796729305807027837713263953110921784281872479058148737378821734408456085084758941976984525366243
m: 1000000000000000000000000000000
deg: 6
c6: 4000
c3: 45
c0: -4
skew: 0.32
# Murphy_E = 3.664e-11
type: snfs
lss: 1
rlim: 8000000
alim: 8000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 24000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3770742 hash collisions in 28642367 relations (26888016 unique)
Msieve: matrix is 1038374 x 1038599 (355.1 MB)

Sieving start time : 2022/05/29 06:09:30
Sieving end time  : 2022/05/29 13:02:35

Total sieving time: 6hrs 53min 5secs.

Total relation processing time: 0hrs 17min 35sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 34sec.

Prototype def-par.txt line would be:
snfs,183,6,0,0,0,0,0,0,0,0,8000000,8000000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] 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)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111123611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<185>

3329531041760159373697208046846484876108359704645854425693666895509811<70>
3337139967085939200826673444006271226819714147166462518094132854959338226645657813962503748169839966010400043478301<115>

Number: n
N=11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111123611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111  ( 185 digits)
SNFS difficulty: 186 digits.
Divisors found:

Sat May 28 07:33:52 2022  p70 factor: 3329531041760159373697208046846484876108359704645854425693666895509811
Sat May 28 07:33:52 2022  p115 factor: 3337139967085939200826673444006271226819714147166462518094132854959338226645657813962503748169839966010400043478301
Sat May 28 07:33:52 2022  elapsed time 00:26:43 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.327).
Factorization parameters were as follows:
#
# N = 8x10^185+9x10^92-8 = 8(92)98(92)
#
n: 11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111123611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
m: 10000000000000000000000000000000
deg: 6
c6: 8
c3: 9
c0: -80
skew: 1.47
# Murphy_E = 4.252e-11
type: snfs
lss: 1
rlim: 9100000
alim: 9100000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9100000/9100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3356578 hash collisions in 29324542 relations (27372258 unique)
Msieve: matrix is 1024673 x 1024899 (353.8 MB)

Sieving start time : 2022/05/28 03:09:59
Sieving end time  : 2022/05/28 07:06:40

Total sieving time: 3hrs 56min 41secs.

Total relation processing time: 0hrs 16min 58sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 35sec.

Prototype def-par.txt line would be:
snfs,186,6,0,0,0,0,0,0,0,0,9100000,9100000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] 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)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

3121146591969006827920680303606574355289229634325472593559684478790036554856167260168648664793283415256959901978827668831975681006557106025711906413<148>

223402212988486917190495599653766231523519<42>
13970974370472578142175318131386870560336712319964393324624371107537204767809624271909829029183007066140627<107>

3121146591969006827920680303606574355289229634325472593559684478790036554856167260168648664793283415256959901978827668831975681006557106025711906413=223402212988486917190495599653766231523519*13970974370472578142175318131386870560336712319964393324624371107537204767809624271909829029183007066140627

cado polynomial
n: 3121146591969006827920680303606574355289229634325472593559684478790036554856167260168648664793283415256959901978827668831975681006557106025711906413
skew: 0.32
type: snfs
c0: -4
c3: 45
c6: 4000
Y0: 10000000000000000000000000000000
Y1: -1
# f(x) = 4000*x^6+45*x^3-4
# g(x) = -x+10000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 10100000
tasks.lim1 = 10100000
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: 223402212988486917190495599653766231523519 13970974370472578142175318131386870560336712319964393324624371107537204767809624271909829029183007066140627
Info:Square Root: Total cpu/real time for sqrt: 603.66/174.877
Info:Filtering - Singleton removal: Total cpu/real time for purge: 291.4/323.748
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 24271200
Info:Lattice Sieving: Average J: 1894.34 for 2153857 special-q, max bucket fill -bkmult 1.0,1s:1.182490
Info:Lattice Sieving: Total time: 372425s
Info:Linear Algebra: Total cpu/real time for bwc: 62636/16353.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 40575.82, WCT time 10622.44, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (59648 iterations)
Info:Linear Algebra: Lingen CPU time 378.26, WCT time 96.18
Info:Linear Algebra: Mksol: CPU time 21311.85,  WCT time 5480.53, iteration CPU time 0.17, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (29952 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 241.01/61.8411
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 103.14/118.672
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 118.10000000000001s
Info:Filtering - Merging: Merged matrix has 1903103 rows and total weight 324737871 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 500.49/139.198
Info:Filtering - Merging: Total cpu/real time for replay: 74.36/67.8758
Info:Generate Factor Base: Total cpu/real time for makefb: 8.52/3.43607
Info:Quadratic Characters: Total cpu/real time for characters: 67.62/29.3678
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 419.19/359.119
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 284.8s
Info:Square Root: Total cpu/real time for sqrt: 603.66/174.877
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 779380/60692.5
Info:root: Cleaning up computation data in /tmp/cado.eioi1i6m
223402212988486917190495599653766231523519 13970974370472578142175318131386870560336712319964393324624371107537204767809624271909829029183007066140627

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)

206868446149040440712537675915754893990264770924226156860067976971404574688818139880305917058165433730727618385640019942118208767498484688631958278771780661523917095401521310552980043401<186>

1555628538854005531293828006075847982624867110562737<52>
132980619075962372494601452540118602371727529129274707445924011612096259443705030686923860304645852226949584963627179401154666510902873<135>

Number: n
N=206868446149040440712537675915754893990264770924226156860067976971404574688818139880305917058165433730727618385640019942118208767498484688631958278771780661523917095401521310552980043401  ( 186 digits)
SNFS difficulty: 192 digits.
Divisors found:

Sat Jun 25 17:43:56 2022  p52 factor: 1555628538854005531293828006075847982624867110562737
Sat Jun 25 17:43:56 2022  p135 factor: 132980619075962372494601452540118602371727529129274707445924011612096259443705030686923860304645852226949584963627179401154666510902873
Sat Jun 25 17:43:56 2022  elapsed time 00:40:02 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.314).
Factorization parameters were as follows:
#
# N = 8x10^191+9x10^95-8 = 8(95)98(95)
#
n: 206868446149040440712537675915754893990264770924226156860067976971404574688818139880305917058165433730727618385640019942118208767498484688631958278771780661523917095401521310552980043401
m: 100000000000000000000000000000000
deg: 6
c6: 8
c3: 9
c0: -80
skew: 1.47
# Murphy_E = 2.726e-11
type: snfs
lss: 1
rlim: 11500000
alim: 11500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11500000/11500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 18550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3229804 hash collisions in 28606965 relations (26737070 unique)
Msieve: matrix is 1309253 x 1309478 (455.1 MB)

Sieving start time : 2022/06/25 11:30:48
Sieving end time  : 2022/06/25 17:03:03

Total sieving time: 5hrs 32min 15secs.

Total relation processing time: 0hrs 30min 14sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 50sec.

Prototype def-par.txt line would be:
snfs,192,6,0,0,0,0,0,0,0,0,11500000,11500000,28,28,55,55,2.5,2.5,100000
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)

1423144455699131230038926551519130107764938320813341875931284739806164215383460548005453469062666842256609677613189055938541693861699955896982771464515552021885344550059389711836379<181>

17587430807719740378023357935417442589803110259218176038010297135127093028392883<80>
80918268919327500759385591191725774592628557431203835809857808134001638242150639806667940088744608313<101>

Number: n
N=1423144455699131230038926551519130107764938320813341875931284739806164215383460548005453469062666842256609677613189055938541693861699955896982771464515552021885344550059389711836379  ( 181 digits)
SNFS difficulty: 193 digits.
Divisors found:

Sun Jul 17 13:41:55 2022  p80 factor: 17587430807719740378023357935417442589803110259218176038010297135127093028392883
Sun Jul 17 13:41:55 2022  p101 factor: 80918268919327500759385591191725774592628557431203835809857808134001638242150639806667940088744608313
Sun Jul 17 13:41:55 2022  elapsed time 00:44:26 (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 = 8x10^193+9x10^96-8 = 8(96)98(96)
#
n: 1423144455699131230038926551519130107764938320813341875931284739806164215383460548005453469062666842256609677613189055938541693861699955896982771464515552021885344550059389711836379
m: 100000000000000000000000000000000
deg: 6
c6: 80
c3: 9
c0: -8
skew: 0.68
# Murphy_E = 2.529e-11
type: snfs
lss: 1
rlim: 11900000
alim: 11900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11900000/11900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 25950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2831673 hash collisions in 28810297 relations (26829747 unique)
Msieve: matrix is 1381155 x 1381380 (480.2 MB)

Sieving start time : 2022/07/17 06:28:25
Sieving end time  : 2022/07/17 12:56:35

Total sieving time: 6hrs 28min 10secs.

Total relation processing time: 0hrs 34min 15sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 5sec.

Prototype def-par.txt line would be:
snfs,193,6,0,0,0,0,0,0,0,0,11900000,11900000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119387] 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)
[    0.153505] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.16 BogoMIPS (lpj=12798328)
[    0.152037] smpboot: Total of 16 processors activated (102386.62 BogoMIPS)

3313903903949111569048045840271549724173278599197647304720900902941888597679996786280291068597634558259528428529737174333245316378947891352109921189888257881772361958372121718697<178>

4291368136551037415856296480841852491<37>
772225499770916513417469000535776502970775012563838658906009725772374893494564502683200331111572595696280662462074092591474189919342629099867<141>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2630898869
Step 1 took 7457ms
Step 2 took 3615ms
********** Factor found in step 2: 4291368136551037415856296480841852491
Found prime factor of 37 digits: 4291368136551037415856296480841852491
Prime cofactor 772225499770916513417469000535776502970775012563838658906009725772374893494564502683200331111572595696280662462074092591474189919342629099867 has 141 digits

97266927164013179259176917889548068542453519316439078289589097696200818383863801533659245834798674505195846884982318626720554056190441057078942950282223289376768983211686212339<176>

12646040143884420644598331035145115831873336639538021052273122229<65>
7691492835490571651879731154131457911993821646401499704339806540618877984969388828308886274360481890158802275591<112>

Number: n
N=97266927164013179259176917889548068542453519316439078289589097696200818383863801533659245834798674505195846884982318626720554056190441057078942950282223289376768983211686212339  ( 176 digits)
SNFS difficulty: 205 digits.
Divisors found:

Thu Dec  7 14:44:26 2023  prp65 factor: 12646040143884420644598331035145115831873336639538021052273122229
Thu Dec  7 14:44:26 2023  prp112 factor: 7691492835490571651879731154131457911993821646401499704339806540618877984969388828308886274360481890158802275591
Thu Dec  7 14:44:26 2023  elapsed time 02:31:44 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.094).
Factorization parameters were as follows:
#
# N = 8x10^205+9x10^102-8 = 8(102)98(102)
#
n: 97266927164013179259176917889548068542453519316439078289589097696200818383863801533659245834798674505195846884982318626720554056190441057078942950282223289376768983211686212339
m: 10000000000000000000000000000000000
deg: 6
c6: 80
c3: 9
c0: -8
skew: 0.68
# Murphy_E = 1.022e-11
type: snfs
lss: 1
rlim: 18900000
alim: 18900000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18900000/18900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 42250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3783319 hash collisions in 20401537 relations (17276246 unique)
Msieve: matrix is 2166560 x 2166785 (608.0 MB)

Sieving start time: 2023/12/06 17:25:41
Sieving end time  : 2023/12/07 12:12:16

Total sieving time: 18hrs 46min 35secs.

Total relation processing time: 2hrs 20min 0sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 16sec.

Prototype def-par.txt line would be:
snfs,205,6,0,0,0,0,0,0,0,0,18900000,18900000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

4008529949762891372090054437462180026453181404159665714930342341245820341958217486016055279135411110330660206321597883127188100275260150468027314765276204193249<160>

3643276720247288518282995573558014251774382001825341<52>
1100254045344876021243274714157121585538480461117490461642621126622246865879125018620507629212918969846991989<109>

Number: n
N=4008529949762891372090054437462180026453181404159665714930342341245820341958217486016055279135411110330660206321597883127188100275260150468027314765276204193249  ( 160 digits)
SNFS difficulty: 207 digits.
Divisors found:

Sat Aug  3 21:57:46 2024  prp52 factor: 3643276720247288518282995573558014251774382001825341
Sat Aug  3 21:57:46 2024  prp109 factor: 1100254045344876021243274714157121585538480461117490461642621126622246865879125018620507629212918969846991989
Sat Aug  3 21:57:46 2024  elapsed time 08:27:54 (Msieve 1.44 - dependency 4)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.903).
Factorization parameters were as follows:
#
# N = 8x10^207+9x10^103-8 = 8(103)98(103)
#
n: 4008529949762891372090054437462180026453181404159665714930342341245820341958217486016055279135411110330660206321597883127188100275260150468027314765276204193249
m: 10000000000000000000000000000000000
deg: 6
c6: 4000
c3: 45
c0: -4
skew: 0.32
# Murphy_E = 6.085e-12
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
q0: 50000000
qintsize: 50000
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [50000000, 50000000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 5623995 hash collisions in 21803652 relations (15872520 unique)
Msieve: matrix is 3666195 x 3666420 (1030.9 MB)

Sieving start time: 2024/08/01 18:09:58
Sieving end time  : 2024/08/03 13:19:54

Total sieving time: 43hrs 9min 56secs.

Total relation processing time: 7hrs 51min 10sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 30min 26sec.

Prototype def-par.txt line would be:
snfs,207,6,0,0,0,0,0,0,0,0,20000000,20000000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

391022716781545595884692528286984797908452838537985849748195103977213504877262741137590872665915775243223474918793799503<120>

59418497675810768885998659555222865604789<41>
6580824693935852998300123834764785139484367690699505548147302963306866089651827<79>

Number: 88988_105
N = 391022716781545595884692528286984797908452838537985849748195103977213504877262741137590872665915775243223474918793799503 (120 digits)
Divisors found:
r1=59418497675810768885998659555222865604789 (pp41)
r2=6580824693935852998300123834764785139484367690699505548147302963306866089651827 (pp79)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 19.68 hours.
Factorization parameters were as follows:
n: 391022716781545595884692528286984797908452838537985849748195103977213504877262741137590872665915775243223474918793799503
Y0: -161130955775883792562027
Y1: 2641711744819
c0: 670495120162016857314065451090
c1: 18796237265510262337317285
c2: -166933402475575333381
c3: -378502078318145
c4: 2311685156
c5: 3600
skew: 260404.70 
type: gnfs
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 9995366
Relations: 1384696 relations
Pruned matrix : 760416 x 760653
Polynomial selection time: 0.00 hours.
Total sieving time: 19.40 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.18 hours.
time per square root: 0.04 hours.
Prototype def-par.txt line would be: gnfs,119,5,63,2000,2.6e-05,0.28,250,20,50000,3600,4200000,4200000,27,27,53,53,2.5,2.5,100000
total time: 19.68 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 16, speed: 3.79GHz

GGNFS, Msieve

3396085910482168241762983947563605956500281895726455652244671435822231412768896389159172379232320624053946415358181982413924680503604238851288673649417889953694015386057346910580405876243935455757644927<202>

311300355331426734410173592325762606791644001441647773733261308639225572447297996199784022103907952044533111808280849572995799789439431788397038889229739706476958321916961904678383736635899<189>

1157623522894185635029189985081696538141983<43>
268913294499356526897243622332036679068305919478660003958493300110255716589392601879322662689894217404899847997654689935400001404232817265977887653<147>

Number: 88988_110
N = 311300355331426734410173592325762606791644001441647773733261308639225572447297996199784022103907952044533111808280849572995799789439431788397038889229739706476958321916961904678383736635899 (189 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=1157623522894185635029189985081696538141983 (pp43)
r2=268913294499356526897243622332036679068305919478660003958493300110255716589392601879322662689894217404899847997654689935400001404232817265977887653 (pp147)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 26.16 hours.
Factorization parameters were as follows:
n: 311300355331426734410173592325762606791644001441647773733261308639225572447297996199784022103907952044533111808280849572995799789439431788397038889229739706476958321916961904678383736635899
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 80
c2: 9
c0: -8
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 30467630
Relations: 7697676 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 9.16 hours.
Total relation processing time: 0.25 hours.
Pruned matrix : 6646106 x 6646331
Matrix solve time: 16.62 hours.
time per square root: 0.12 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 26.16 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

125917145683836486054935200090556617922198489600128271491352864214036666826397351025899071875073573135948289629903055879<120>

4789806023763189115592445095988577<34>
26288568902192750949380076640197987159363048699330999410001349569067045645583903885927<86>

Z:\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:3571915690 3e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 125917145683836486054935200090556617922198489600128271491352864214036666826397351025899071875073573135948289629903055879 (120 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3571915690
Step 1 took 4852ms
Step 2 took 4103ms
********** Factor found in step 2: 4789806023763189115592445095988577
Found probable prime factor of 34 digits: 4789806023763189115592445095988577
Probable prime cofactor 26288568902192750949380076640197987159363048699330999410001349569067045645583903885927 has 86 digits

18474956974374346186357769647515149609562732252019994243058881146100200816534277042769517237365203893507893391156284633330775903986604561799626341548528725571396397825777481242842183857<185>

11947178114589549469258054142925317021545472481080893044359555405172018938026647885383946581476628493756560241576341626164975252698351857375585271356830701218626469371906899698218848973580948907314671744730494660120889<218>

160287322061838128217928591811822585741637209150490563287916341411654945300272910613598997595380187087003600047166370978519515955597062890546954441974023282262785697219324642769385170102917325824168119470385083067<213>

15228442815091338458131391267523035345027<41>
10525522800203439132416061531049555751455769283685475284319860950644887065581464019989680489498162463394255103121981651628269204160827148371884618358996036347546981290012521<173>

Resuming ECM residue saved by @5d281748735e with GMP-ECM 7.0.5-dev on Sun Jul 31 10:27:26 2022 
Input number is 160287322061838128217928591811822585741637209150490563287916341411654945300272910613598997595380187087003600047166370978519515955597062890546954441974023282262785697219324642769385170102917325824168119470385083067 (213 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3340935580
Step 1 took 0ms
Step 2 took 8808ms
********** Factor found in step 2: 15228442815091338458131391267523035345027
Found prime factor of 41 digits: 15228442815091338458131391267523035345027
Prime cofactor 10525522800203439132416061531049555751455769283685475284319860950644887065581464019989680489498162463394255103121981651628269204160827148371884618358996036347546981290012521 has 173 digits

18201399708693770707084877559070966201660866443866944948635845386735985179058082993688507005166115007529532131797185009909568820546141936143643643474425345745460858797658615599721999221340916664189925073553003647856344227<221>

2611072686696007327002087314744291699851670678917983688009057554220596078530249263889456177068482180180771679884108520564621658167020608144192691578671473960633880120962945026460248973410230854824363058525560001896401203765816553543<232>

5118033787162969339122958817235411568743703413136366330839898525316850939237289817183257362241367546248387434455913858918222625535420287410757789239940932538781618982116920552497877890875525252404535302025922223767497039901211<226>

11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111123611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<245>

119890118398976556057638835448667966642744716725738198187054171958722613102651514999190714583062923698769279848213613588638622496951427225346432995820615201246046745300359883568285711019634305353923<198>

330132472297754135648141076339462597971793938508440097258304119415967245525154710296206496700742678216396607860022169069729621104082256346039962973998167340096076990919034170724619298431915978323502488054039047397<213>

1587301587301587301587301587301587301587301587301587301587301587301587301587301587301587301587301587301587301587301587301587303373015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873<250>

1765945860871204408978579901000986162503593595745136286358933634070743947357919771054380499972882657201162436622743898339585125735334625240260564941551718088736534176192103994065070441394647073812098824433899521044996198326134217<229>

126054552616246663137457493102976520557797<42>

14009377878221899030608750144879579593408996236672266928372939981735740585573375293977850531629109336696188795912990981180803986428636566766414286299018318286072745347533358349146099843861<188>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:259594824
Step 1 took 8703ms
Step 2 took 4329ms
********** Factor found in step 2: 126054552616246663137457493102976520557797
Found prime factor of 42 digits: 126054552616246663137457493102976520557797
Composite cofactor 14009377878221899030608750144879579593408996236672266928372939981735740585573375293977850531629109336696188795912990981180803986428636566766414286299018318286072745347533358349146099843861 has 188 digits

GMP-ECM

9657562680587972239185952254563594890234142612404508141440685521249223969390728335770547905345877600822871915313086239386994581931299435992438009641677195670872041304582230794399127989960247673216162825299234946713142304974240777459<232>

52614741231881059916064579729220131291843425232504670982288458588934182647121465459031868926703854008098500859224773704636069628931433734469016350006314086891396930738466815657934780585306906595296828221020577212320130367253113<227>

1806162894835263794281593298184152305376047712807240759865338134785683882261148712393166246435990057418463086979767108764974726517786912857054131812667465635306217999232235852188968186814769402505420234110630613787772258519386241<229>

17237606615544889745642906162900160001351206278655993291523438936381201290818477014675040476007218975617580027057233613326262110080766998351438053542073575216822033479<167>

340028901007065172715963577456608661209289067<45>
50694533801368619864994897155017145116325622763299380567869739713297695693672350023725491096156763404220473427703854214037<122>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2318809889
Step 1 took 26266ms
Step 2 took 12203ms
********** Factor found in step 2: 340028901007065172715963577456608661209289067
Found prime factor of 45 digits: 340028901007065172715963577456608661209289067
Prime cofactor 50694533801368619864994897155017145116325622763299380567869739713297695693672350023725491096156763404220473427703854214037 has 122 digits
 

GMP-ECM

187336344397053501164941386794075927865487610732192446770259333162612563726831282668341106801866687672096658336599942194317146269845216258580628918708126452634389959497041492380128223753684091410626614631273646087<213>

270006832209116734919292818102406946621<39>

693820755809482517430619824660012746868867802582443133055824290734945526537897126505415868725511742894229743022531167413120788621858251600895765203540660010686620174512076947<174>

Resuming ECM residue saved by @5d281748735e with GMP-ECM 7.0.5-dev on Sun Jul 31 10:33:17 2022 
Input number is 187336344397053501164941386794075927865487610732192446770259333162612563726831282668341106801866687672096658336599942194317146269845216258580628918708126452634389959497041492380128223753684091410626614631273646087 (213 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:320387557
Step 1 took 0ms
Step 2 took 9108ms
********** Factor found in step 2: 270006832209116734919292818102406946621
Found prime factor of 39 digits: 270006832209116734919292818102406946621
Composite cofactor 693820755809482517430619824660012746868867802582443133055824290734945526537897126505415868725511742894229743022531167413120788621858251600895765203540660010686620174512076947 has 174 digits

693820755809482517430619824660012746868867802582443133055824290734945526537897126505415868725511742894229743022531167413120788621858251600895765203540660010686620174512076947<174>

5306305004960541909797662306499661832362194004961<49>
130754028492684020088891061324758734142320287333142303089440088767656587298895718268232397836455879994290902003540736257463027<126>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2381606776
Step 1 took 31343ms
Step 2 took 13766ms
********** Factor found in step 2: 5306305004960541909797662306499661832362194004961
Found prime factor of 49 digits: 5306305004960541909797662306499661832362194004961
Prime cofactor 130754028492684020088891061324758734142320287333142303089440088767656587298895718268232397836455879994290902003540736257463027 has 126 digits
 

GMP-ECM

19006474490240434650780448545926599661437227480714763176852137456818105544682608766746431701741654440549528872380940427466714324477488058755362897156554097763154458595047556142910133703881090979413091747180051139792427223<221>

1540106108667784384083979918434864862475062583877730433374385269566410350561171667428932757002295250935255591909074035404492437924252328535644368609167613112128408925595449911256944981427036668908563474631877116660790646108822634396795859439964771<247>

63204708701460923505816568377977551321<38>

24366952088052043043644920343511288002966019733243602750237738112259819788762008017524381468046888115507482324550109419790862138443655793916163109725324440597691417990627906565399741456626719028159004486839451<209>

Resuming ECM residue saved by @4cfc2b5d47c6 with GMP-ECM 7.0.5-dev on Wed Jul 27 23:05:29 2022 
Input number is 1540106108667784384083979918434864862475062583877730433374385269566410350561171667428932757002295250935255591909074035404492437924252328535644368609167613112128408925595449911256944981427036668908563474631877116660790646108822634396795859439964771 (247 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3706861881
Step 1 took 0ms
Step 2 took 11339ms
********** Factor found in step 2: 63204708701460923505816568377977551321
Found prime factor of 38 digits: 63204708701460923505816568377977551321
Composite cofactor 24366952088052043043644920343511288002966019733243602750237738112259819788762008017524381468046888115507482324550109419790862138443655793916163109725324440597691417990627906565399741456626719028159004486839451 has 209 digits

24366952088052043043644920343511288002966019733243602750237738112259819788762008017524381468046888115507482324550109419790862138443655793916163109725324440597691417990627906565399741456626719028159004486839451<209>

950939494096403505613748266781850004591<39>
25624082540820196136026517386296941733221301154270748112880333144413724470449009518443750734741510928081993442031470430366550687675079499137559079594356665978162605453461<170>

vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv
WorkUnit(uid=1007,
         n='24366952088052043043644920343511288002966019733243602750237738112259819788762008017524381468046888115507482324550109419790862138443655793916163109725324440597691417990627906565399741456626719028159004486839451',
         params=(),
         B1='10000000000',
         B2='8e15',
         resume_line='METHOD=P-1; B1=10000000000; '
                     'N=24366952088052043043644920343511288002966019733243602750237738112259819788762008017524381468046888115507482324550109419790862138443655793916163109725324440597691417990627906565399741456626719028159004486839451; '
                     'X=0x129c69f89734e956dd33eac10b83c6650ad97b0a69aca0117002059c174e8dcb6573ee205a981a85748a952e4ffc055428de34fbb706e2a099fd5bfdaf78dd8df7c15b8b68e1ec77780b9ab4b809829f64c9799f86ae59; '
                     'CHECKSUM=209255664; PROGRAM=GMP-ECM 7.0.6-dev; X0=0x3; '
                     'WHO=five@five; TIME=Wed Nov 22 12:58:40 2023;\n')
------------------------------------ result ------------------------------------
EcmOutput(factors=(950939494096403505613748266781850004591,),
          exit_status=14,
          resume_line='',
          using='Using B1=10000000000-10000000000, B2=8344913552924776, '
                'polynomial x^1',
          version='GMP-ECM 7.0.6-dev [configured with GMP 6.3.0, '
                  '--enable-asm-redc, --enable-assert] [ECM]',
          output='OMMITTED<1516>',
          timings=(('0',), ('236588',)),
          runtime=0) 
------------------------------------ output ------------------------------------
GMP-ECM 7.0.6-dev [configured with GMP 6.3.0, --enable-asm-redc, --enable-assert] [ECM]
Tuned for x86_64/params.h
Running on sethtroisi-linux.sea.corp.google.com
Resuming P-1 residue saved by five@five with GMP-ECM 7.0.6-dev on Wed Nov 22 12:58:40 2023 
Input number is 24366952088052043043644920343511288002966019733243602750237738112259819788762008017524381468046888115507482324550109419790862138443655793916163109725324440597691417990627906565399741456626719028159004486839451 (209 digits)
Using mpz_mod
Using lmax = 33554432 with NTT which takes about 9984MB of memory
Using B1=10000000000-10000000000, B2=8344913552924776, polynomial x^1
P = 240705465, l = 33554432, s_1 = 16220160, k = s_2 = 5, m_1 = 16
Probability of finding a factor of n digits (assuming one exists):
20      25      30      35      40      45      50      55      60      65
0.81    0.55    0.3     0.14    0.055   0.019   0.0063  0.0018  0.0005  0.00013
Step 1 took 0ms
Computing F from factored S_1 took 91350ms
Computing h took 11076ms
Computing DCT-I of h took 27451ms
Multi-point evaluation 1 of 5:
Computing g_i took 36969ms 
Computing g*h took 55063ms
Computing gcd of coefficients and N took 13278ms
Step 2 took 236588ms
********** Factor found in step 2: 950939494096403505613748266781850004591
Found prime factor of 39 digits: 950939494096403505613748266781850004591
Prime cofactor 25624082540820196136026517386296941733221301154270748112880333144413724470449009518443750734741510928081993442031470430366550687675079499137559079594356665978162605453461 has 170 digits
Peak memory usage: 10264MB      
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

gmp-ecm + ecm-db

1080 TI for stage 1

136097577729826007071845375022759696573630756134521210375487806972966231502242005270234937683634713525740855127091399173005805143573658470230791784627502702792600479182223643990163533336214055073014842081294135297416929950747<225>

5163362347438694393774152436839607582468088223509683371843609585143269870868952193369193361434993428527799745341788539882001370619922983697127014654180662644484367705253100348971237836092679515153103093327<205>

9464787037267673811032196365894767069884188612714087994395031784648075716992190236293392662899545614416560873367046529647077477492805521589768070227522997437370961079806835570654638600051621477658436055705677427613998125056218826504052993728105253679003873<256>

265936966605284822039016803532575432911472652454241548149562562040164568847500097834246657781748639907759345604532940998732779133803718054046824749929251774688409353244971292897054874419065997950390269585433993702735206993026625676440335843755093136909130979<258>

86910844411860599971139589268268954036547234421418680706785308742694921884859827634614851206234950380480744597565891408360049301405889475732185681571369285412000431347344417184127308166446035751869564286460147743348442564531443797924267280173491<245>

52910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052916005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291<281>

323568869110497508408197580813378303<36>

163520220766307197136059151392520069051622118570888127181274935865273723877172690736610105733254777672798238812725010918829471865376710831071659561544940277244683645821770430933126163917687132039773407753560186829378096264076203904240973397973397<246>

Resuming ECM residue saved by @9cf65561818e with GMP-ECM 7.0.5-dev on Mon Jul 18 11:09:50 2022 
Input number is 52910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052916005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291 (281 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:671933554
Step 1 took 0ms
Step 2 took 7952ms
********** Factor found in step 2: 323568869110497508408197580813378303
Found prime factor of 36 digits: 323568869110497508408197580813378303
Composite cofactor 163520220766307197136059151392520069051622118570888127181274935865273723877172690736610105733254777672798238812725010918829471865376710831071659561544940277244683645821770430933126163917687132039773407753560186829378096264076203904240973397973397 has 246 digits

8884942740026500099332932345854331492196445137168040154499056627932217727970368821082387181097742594869810120649560024800888740917153505310816592391117908711974152906613231451880645653413385060018851691536201246005021432696238192131511647845389351781510774979959<262>

27423167601307920215762707364016114049711825579567924769944774691485967114888464411193493480322516337042210905714480119006036586698803903585444226569349929636839799651774862940500984562408082915549592955346664979286427211496816131310362857247740143893270198941881<263>

37065407842331510049890654097622145021651184271412421173935879624357329080287396791701099402544412317358121437470347792055743348052520981403640313026243922617851021762263836601035633196558426580294667723215093856402093939100943<227>

128135570187067396912251516319011749336652064398401449393086454666654769129327427710598701995041782402379000246191812861672466304553222713596807673700488821633204837186870251215620724048461718634231372262195509162703332922538239917780777940721246782731933118039423<264>

44679820039080987004577005575674324195960548672178821057127837415124892219681907290764889530265810116910680977277878830181984732215903397334686952967608100973369164845679318305978313711648650876731924755803036251261505375508033873226127613181257100867595075171181<263>