17142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857<128>

2490581325052711728749490149568527237493424588308050961821<58>
6883074634189800686015722948396964731791835991415644238281356239893917<70>

N=17142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857
  ( 128 digits)
SNFS difficulty: 128 digits.
Divisors found:
p58 factor: 2490581325052711728749490149568527237493424588308050961821
p70 factor: 6883074634189800686015722948396964731791835991415644238281356239893917
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.96 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 17142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857
m: 100000000000000000000000000000000
deg: 4
c4: 6
c0: -5
skew: 0.96
# Murphy_E = 1.953e-08
type: snfs
lss: 1
rlim: 980000
alim: 980000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 980000/980000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [490000, 890001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 101435 x 101660
Total sieving time: 1.91 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,128.000,4,0,0,0,0,0,0,0,0,980000,980000,26,26,47,47,2.3,2.3,100000
total time: 1.96 hours.
 --------- CPU info (if available) ----------

744688966721159488664533823682885224918501704912640506285233833669784842788184747477926193392460437514324790420787803851482931099<129>

2349985577100634736580015765895576815740977<43>
316890866896273406255809761164485543668725694868150371710341915008931191456932452949387<87>

N=744688966721159488664533823682885224918501704912640506285233833669784842788184747477926193392460437514324790420787803851482931099
  ( 129 digits)
SNFS difficulty: 137 digits.
Divisors found:
p43 factor: 2349985577100634736580015765895576815740977
p87 factor: 316890866896273406255809761164485543668725694868150371710341915008931191456932452949387
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 3.98 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 744688966721159488664533823682885224918501704912640506285233833669784842788184747477926193392460437514324790420787803851482931099
m: 10000000000000000000000000000000000
deg: 4
c4: 12
c0: -1
skew: 0.54
# Murphy_E = 6.626e-09
type: snfs
lss: 1
rlim: 1350000
alim: 1350000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1350000/1350000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [675000, 1575001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 193726 x 193951
Total sieving time: 3.91 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,137.000,4,0,0,0,0,0,0,0,0,1350000,1350000,26,26,48,48,2.3,2.3,100000
total time: 3.98 hours.
 --------- CPU info (if available) ----------

17142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857<140>

892396051329320416967524856577976733347884367224253613831<57>
19209920435350429233869701612668659172639436348851850709277696083055408953866188847<83>

Mon Apr 25 15:29:14 2022 -> factmsieve.py (v0.86)
Mon Apr 25 15:29:14 2022 -> This is client 1 of 1
Mon Apr 25 15:29:14 2022 -> Running on 6 Cores with 1 hyper-thread per Core
Mon Apr 25 15:29:14 2022 -> Working with NAME = 59995_140
Mon Apr 25 15:29:14 2022 -> Selected lattice siever: gnfs-lasieve4I12e
Mon Apr 25 15:29:14 2022 -> Creating param file to detect parameter changes...
Mon Apr 25 15:29:14 2022 -> Running setup ...
Mon Apr 25 15:29:14 2022 -> Estimated minimum relations needed: 4.1142e+06
Mon Apr 25 15:29:14 2022 -> cleaning up before a restart
Mon Apr 25 15:29:14 2022 -> Running lattice siever ...
Mon Apr 25 15:29:14 2022 -> entering sieving loop
Mon Apr 25 15:42:57 2022 Found 4138126 relations, 100.6% of the estimated minimum (4114202).
Mon Apr 25 15:42:57 2022 -> msieve-1.53-SVN998-win64-core2 -s ..\59995_140\59995_140.dat -l ..\59995_140\59995_140.log -i ..\59995_140\59995_140.ini -nf ..\59995_140\59995_140.fb -t 6 -nc1
Mon Apr 25 15:42:57 2022  
Mon Apr 25 15:42:57 2022  
Mon Apr 25 15:42:57 2022  Msieve v. 1.53 (SVN unknown)
Mon Apr 25 15:42:57 2022  random seeds: 932c5d60 bef55270
Mon Apr 25 15:42:57 2022  factoring 17142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857 (140 digits)
Mon Apr 25 15:42:58 2022  searching for 15-digit factors
Mon Apr 25 15:42:58 2022  commencing number field sieve (140-digit input)
Mon Apr 25 15:42:58 2022  R0: -10000000000000000000000000000
Mon Apr 25 15:42:58 2022  R1: 1
Mon Apr 25 15:42:58 2022  A0: -5
Mon Apr 25 15:42:58 2022  A1: 0
Mon Apr 25 15:42:58 2022  A2: 0
Mon Apr 25 15:42:58 2022  A3: 0
Mon Apr 25 15:42:58 2022  A4: 0
Mon Apr 25 15:42:58 2022  A5: 6
Mon Apr 25 15:42:58 2022  skew 0.96, size 1.195e-09, alpha -0.188, combined = 4.999e-09 rroots = 1
Mon Apr 25 15:42:58 2022  
Mon Apr 25 15:42:58 2022  commencing relation filtering
Mon Apr 25 15:42:58 2022  estimated available RAM is 32684.9 MB
Mon Apr 25 15:42:58 2022  commencing duplicate removal, pass 1
Mon Apr 25 15:43:37 2022  skipped 2 relations with composite factors
Mon Apr 25 15:43:37 2022  found 479044 hash collisions in 4138123 relations
Mon Apr 25 15:43:42 2022  added 176799 free relations
Mon Apr 25 15:43:42 2022  commencing duplicate removal, pass 2
Mon Apr 25 15:43:43 2022  found 313997 duplicates and 4000925 unique relations
Mon Apr 25 15:43:43 2022  memory use: 20.6 MB
Mon Apr 25 15:43:43 2022  reading ideals above 100000
Mon Apr 25 15:43:43 2022  commencing singleton removal, initial pass
Mon Apr 25 15:44:18 2022  memory use: 94.1 MB
Mon Apr 25 15:44:18 2022  reading all ideals from disk
Mon Apr 25 15:44:18 2022  memory use: 123.9 MB
Mon Apr 25 15:44:18 2022  keeping 4306568 ideals with weight <= 200, target excess is 20782
Mon Apr 25 15:44:18 2022  commencing in-memory singleton removal
Mon Apr 25 15:44:18 2022  begin with 4000925 relations and 4306568 unique ideals
Mon Apr 25 15:44:19 2022  reduce to 1709803 relations and 1380960 ideals in 12 passes
Mon Apr 25 15:44:19 2022  max relations containing the same ideal: 114
Mon Apr 25 15:44:20 2022  removing 494875 relations and 342507 ideals in 152368 cliques
Mon Apr 25 15:44:20 2022  commencing in-memory singleton removal
Mon Apr 25 15:44:20 2022  begin with 1214928 relations and 1380960 unique ideals
Mon Apr 25 15:44:20 2022  reduce to 1125815 relations and 939721 ideals in 8 passes
Mon Apr 25 15:44:20 2022  max relations containing the same ideal: 90
Mon Apr 25 15:44:20 2022  removing 418636 relations and 266268 ideals in 152368 cliques
Mon Apr 25 15:44:20 2022  commencing in-memory singleton removal
Mon Apr 25 15:44:20 2022  begin with 707179 relations and 939721 unique ideals
Mon Apr 25 15:44:20 2022  reduce to 626126 relations and 581746 ideals in 9 passes
Mon Apr 25 15:44:20 2022  max relations containing the same ideal: 58
Mon Apr 25 15:44:21 2022  removing 82681 relations and 62409 ideals in 20272 cliques
Mon Apr 25 15:44:21 2022  commencing in-memory singleton removal
Mon Apr 25 15:44:21 2022  begin with 543445 relations and 581746 unique ideals
Mon Apr 25 15:44:21 2022  reduce to 533956 relations and 509529 ideals in 5 passes
Mon Apr 25 15:44:21 2022  max relations containing the same ideal: 49
Mon Apr 25 15:44:21 2022  relations with 0 large ideals: 481
Mon Apr 25 15:44:21 2022  relations with 1 large ideals: 202
Mon Apr 25 15:44:21 2022  relations with 2 large ideals: 3425
Mon Apr 25 15:44:21 2022  relations with 3 large ideals: 22777
Mon Apr 25 15:44:21 2022  relations with 4 large ideals: 76000
Mon Apr 25 15:44:21 2022  relations with 5 large ideals: 141214
Mon Apr 25 15:44:21 2022  relations with 6 large ideals: 155971
Mon Apr 25 15:44:21 2022  relations with 7+ large ideals: 133886
Mon Apr 25 15:44:21 2022  commencing 2-way merge
Mon Apr 25 15:44:21 2022  reduce to 337389 relation sets and 312962 unique ideals
Mon Apr 25 15:44:21 2022  commencing full merge
Mon Apr 25 15:44:24 2022  memory use: 41.4 MB
Mon Apr 25 15:44:25 2022  found 168379 cycles, need 165162
Mon Apr 25 15:44:25 2022  weight of 165162 cycles is about 11793837 (71.41/cycle)
Mon Apr 25 15:44:25 2022  distribution of cycle lengths:
Mon Apr 25 15:44:25 2022  1 relations: 11187
Mon Apr 25 15:44:25 2022  2 relations: 13797
Mon Apr 25 15:44:25 2022  3 relations: 15806
Mon Apr 25 15:44:25 2022  4 relations: 16334
Mon Apr 25 15:44:25 2022  5 relations: 16235
Mon Apr 25 15:44:25 2022  6 relations: 15372
Mon Apr 25 15:44:25 2022  7 relations: 14100
Mon Apr 25 15:44:25 2022  8 relations: 12386
Mon Apr 25 15:44:25 2022  9 relations: 10723
Mon Apr 25 15:44:25 2022  10+ relations: 39222
Mon Apr 25 15:44:25 2022  heaviest cycle: 21 relations
Mon Apr 25 15:44:25 2022  commencing cycle optimization
Mon Apr 25 15:44:25 2022  start with 1114919 relations
Mon Apr 25 15:44:26 2022  pruned 38809 relations
Mon Apr 25 15:44:26 2022  memory use: 33.3 MB
Mon Apr 25 15:44:26 2022  distribution of cycle lengths:
Mon Apr 25 15:44:26 2022  1 relations: 11187
Mon Apr 25 15:44:26 2022  2 relations: 14110
Mon Apr 25 15:44:26 2022  3 relations: 16332
Mon Apr 25 15:44:26 2022  4 relations: 16966
Mon Apr 25 15:44:26 2022  5 relations: 16879
Mon Apr 25 15:44:26 2022  6 relations: 16048
Mon Apr 25 15:44:26 2022  7 relations: 14591
Mon Apr 25 15:44:26 2022  8 relations: 12736
Mon Apr 25 15:44:26 2022  9 relations: 10884
Mon Apr 25 15:44:26 2022  10+ relations: 35429
Mon Apr 25 15:44:26 2022  heaviest cycle: 21 relations
Mon Apr 25 15:44:26 2022  RelProcTime: 88
Mon Apr 25 15:44:26 2022  elapsed time 00:01:29
Mon Apr 25 15:44:26 2022 LatSieveTime: 232.547
Mon Apr 25 15:44:26 2022 -> Running matrix solving step ...
Mon Apr 25 15:44:26 2022 -> msieve-1.53-SVN998-win64-core2 -s ..\59995_140\59995_140.dat -l ..\59995_140\59995_140.log -i ..\59995_140\59995_140.ini -nf ..\59995_140\59995_140.fb -t 6 -nc2
Mon Apr 25 15:44:26 2022  
Mon Apr 25 15:44:26 2022  
Mon Apr 25 15:44:26 2022  Msieve v. 1.53 (SVN unknown)
Mon Apr 25 15:44:26 2022  random seeds: 501d4f80 9232211d
Mon Apr 25 15:44:26 2022  factoring 17142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857 (140 digits)
Mon Apr 25 15:44:27 2022  searching for 15-digit factors
Mon Apr 25 15:44:27 2022  commencing number field sieve (140-digit input)
Mon Apr 25 15:44:27 2022  R0: -10000000000000000000000000000
Mon Apr 25 15:44:27 2022  R1: 1
Mon Apr 25 15:44:27 2022  A0: -5
Mon Apr 25 15:44:27 2022  A1: 0
Mon Apr 25 15:44:27 2022  A2: 0
Mon Apr 25 15:44:27 2022  A3: 0
Mon Apr 25 15:44:27 2022  A4: 0
Mon Apr 25 15:44:27 2022  A5: 6
Mon Apr 25 15:44:27 2022  skew 0.96, size 1.195e-09, alpha -0.188, combined = 4.999e-09 rroots = 1
Mon Apr 25 15:44:27 2022  
Mon Apr 25 15:44:27 2022  commencing linear algebra
Mon Apr 25 15:44:27 2022  read 165162 cycles
Mon Apr 25 15:44:27 2022  cycles contain 518911 unique relations
Mon Apr 25 15:44:31 2022  read 518911 relations
Mon Apr 25 15:44:32 2022  using 20 quadratic characters above 4294917295
Mon Apr 25 15:44:34 2022  building initial matrix
Mon Apr 25 15:44:37 2022  memory use: 65.4 MB
Mon Apr 25 15:44:37 2022  read 165162 cycles
Mon Apr 25 15:44:37 2022  matrix is 164985 x 165162 (49.4 MB) with weight 15366505 (93.04/col)
Mon Apr 25 15:44:37 2022  sparse part has weight 11144229 (67.47/col)
Mon Apr 25 15:44:38 2022  filtering completed in 2 passes
Mon Apr 25 15:44:38 2022  matrix is 164953 x 165130 (49.4 MB) with weight 15364816 (93.05/col)
Mon Apr 25 15:44:38 2022  sparse part has weight 11143415 (67.48/col)
Mon Apr 25 15:44:38 2022  matrix starts at (0, 0)
Mon Apr 25 15:44:38 2022  matrix is 164953 x 165130 (49.4 MB) with weight 15364816 (93.05/col)
Mon Apr 25 15:44:38 2022  sparse part has weight 11143415 (67.48/col)
Mon Apr 25 15:44:38 2022  saving the first 48 matrix rows for later
Mon Apr 25 15:44:38 2022  matrix includes 64 packed rows
Mon Apr 25 15:44:38 2022  matrix is 164905 x 165130 (47.0 MB) with weight 12075309 (73.13/col)
Mon Apr 25 15:44:38 2022  sparse part has weight 10668483 (64.61/col)
Mon Apr 25 15:44:38 2022  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Mon Apr 25 15:44:39 2022  commencing Lanczos iteration
Mon Apr 25 15:44:39 2022  memory use: 35.8 MB
Mon Apr 25 15:44:43 2022  linear algebra at 7.3%, ETA 0h 0m
Mon Apr 25 15:45:32 2022  lanczos halted after 2609 iterations (dim = 164903)
Mon Apr 25 15:45:32 2022  recovered 35 nontrivial dependencies
Mon Apr 25 15:45:32 2022  BLanczosTime: 65
Mon Apr 25 15:45:32 2022  elapsed time 00:01:06
Mon Apr 25 15:45:32 2022 -> Running square root step ...
Mon Apr 25 15:45:32 2022 -> msieve-1.53-SVN998-win64-core2 -s ..\59995_140\59995_140.dat -l ..\59995_140\59995_140.log -i ..\59995_140\59995_140.ini -nf ..\59995_140\59995_140.fb -t 6 -nc3
Mon Apr 25 15:45:32 2022  
Mon Apr 25 15:45:32 2022  
Mon Apr 25 15:45:32 2022  Msieve v. 1.53 (SVN unknown)
Mon Apr 25 15:45:32 2022  random seeds: 87492df0 fd549222
Mon Apr 25 15:45:32 2022  factoring 17142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857 (140 digits)
Mon Apr 25 15:45:32 2022  searching for 15-digit factors
Mon Apr 25 15:45:32 2022  commencing number field sieve (140-digit input)
Mon Apr 25 15:45:32 2022  R0: -10000000000000000000000000000
Mon Apr 25 15:45:32 2022  R1: 1
Mon Apr 25 15:45:32 2022  A0: -5
Mon Apr 25 15:45:32 2022  A1: 0
Mon Apr 25 15:45:32 2022  A2: 0
Mon Apr 25 15:45:32 2022  A3: 0
Mon Apr 25 15:45:32 2022  A4: 0
Mon Apr 25 15:45:32 2022  A5: 6
Mon Apr 25 15:45:32 2022  skew 0.96, size 1.195e-09, alpha -0.188, combined = 4.999e-09 rroots = 1
Mon Apr 25 15:45:32 2022  
Mon Apr 25 15:45:32 2022  commencing square root phase
Mon Apr 25 15:45:32 2022  reading relations for dependency 1
Mon Apr 25 15:45:32 2022  read 82698 cycles
Mon Apr 25 15:45:33 2022  cycles contain 260306 unique relations
Mon Apr 25 15:45:35 2022  read 260306 relations
Mon Apr 25 15:45:35 2022  multiplying 260306 relations
Mon Apr 25 15:45:38 2022  multiply complete, coefficients have about 5.80 million bits
Mon Apr 25 15:45:38 2022  initial square root is modulo 4686811
Mon Apr 25 15:45:41 2022  sqrtTime: 9
Mon Apr 25 15:45:41 2022  p57 factor: 892396051329320416967524856577976733347884367224253613831
Mon Apr 25 15:45:41 2022  p83 factor: 19209920435350429233869701612668659172639436348851850709277696083055408953866188847
Mon Apr 25 15:45:41 2022  elapsed time 00:00:09
Mon Apr 25 15:45:41 2022 -> Computing time scale for this machine...
Mon Apr 25 15:45:41 2022 -> procrels -speedtest> PIPE

109062012394759004027394725707262578537501039149029111701167606856127247207041580083524657268794349<99>

270473098890116001870680408160608898316901299213<48>
403226837871470467847727958134307001575221219448673<51>

prp51 = 403226837871470467847727958134307001575221219448673
prp48 = 270473098890116001870680408160608898316901299213

Yafu

882773497218433585762004572122594122675318852341084722670007032913232931989263938005977634591601<96>

19041253370192400161634182497299566640156865271<47>
46361102394674647521258748142096173444498064534231<50>

prp50 = 46361102394674647521258748142096173444498064534231
prp47 = 19041253370192400161634182497299566640156865271

Yafu

4184434897923672481483135538517419365779924310286276839347427980463433198684034796827996990656455185281303487675068403716970187621<130>

2123029727316261581926650295011008224480632593224235075341<58>
1970973295420243236725222909422857857658217626026515974718467698651185081<73>

Mon Apr 25 16:20:26 2022  Msieve v. 1.53 (SVN unknown)
Mon Apr 25 16:20:26 2022  random seeds: 9edf22ac 237f2db9
Mon Apr 25 16:20:26 2022  factoring 4184434897923672481483135538517419365779924310286276839347427980463433198684034796827996990656455185281303487675068403716970187621 (130 digits)
Mon Apr 25 16:20:27 2022  searching for 15-digit factors
Mon Apr 25 16:20:27 2022  commencing number field sieve (130-digit input)
Mon Apr 25 16:20:27 2022  R0: -100000000000000000000000000000
Mon Apr 25 16:20:27 2022  R1: 1
Mon Apr 25 16:20:27 2022  A0: -1
Mon Apr 25 16:20:27 2022  A1: 0
Mon Apr 25 16:20:27 2022  A2: 0
Mon Apr 25 16:20:27 2022  A3: 0
Mon Apr 25 16:20:27 2022  A4: 0
Mon Apr 25 16:20:27 2022  A5: 120
Mon Apr 25 16:20:27 2022  skew 0.38, size 4.034e-10, alpha -0.387, combined = 2.723e-09 rroots = 1
Mon Apr 25 16:20:27 2022  
Mon Apr 25 16:20:27 2022  commencing square root phase
Mon Apr 25 16:20:27 2022  reading relations for dependency 1
Mon Apr 25 16:20:27 2022  read 111026 cycles
Mon Apr 25 16:20:27 2022  cycles contain 331156 unique relations
Mon Apr 25 16:20:30 2022  read 331156 relations
Mon Apr 25 16:20:31 2022  multiplying 331156 relations
Mon Apr 25 16:20:35 2022  multiply complete, coefficients have about 8.69 million bits
Mon Apr 25 16:20:35 2022  initial square root is modulo 98411
Mon Apr 25 16:20:40 2022  GCD is 1, no factor found
Mon Apr 25 16:20:40 2022  reading relations for dependency 2
Mon Apr 25 16:20:41 2022  read 111172 cycles
Mon Apr 25 16:20:41 2022  cycles contain 331700 unique relations
Mon Apr 25 16:20:43 2022  read 331700 relations
Mon Apr 25 16:20:44 2022  multiplying 331700 relations
Mon Apr 25 16:20:49 2022  multiply complete, coefficients have about 8.70 million bits
Mon Apr 25 16:20:49 2022  initial square root is modulo 100271
Mon Apr 25 16:20:54 2022  sqrtTime: 27
Mon Apr 25 16:20:54 2022  p58 factor: 2123029727316261581926650295011008224480632593224235075341
Mon Apr 25 16:20:54 2022  p73 factor: 1970973295420243236725222909422857857658217626026515974718467698651185081
Mon Apr 25 16:20:54 2022  elapsed time 00:00:28
Mon Apr 25 16:20:54 2022 -> Computing time scale for this machine...
Mon Apr 25 16:20:54 2022 -> procrels -speedtest> PIPE

46835213178825694889856999723453259693970361476861231271601762777313531932153614640872523478421889852187503754314541677<119>

1315676880932522461136269179613927655558327672270047<52>
35597808137838478421923132444152136117249130656814269706083763914291<68>

N=46835213178825694889856999723453259693970361476861231271601762777313531932153614640872523478421889852187503754314541677
  ( 119 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=1315676880932522461136269179613927655558327672270047 (pp52)
 r2=35597808137838478421923132444152136117249130656814269706083763914291 (pp68)
Version: Msieve v. 1.52 (SVN 927)
Total time: 8.26 hours.
Scaled time: 64.70 units (timescale=7.831).
Factorization parameters were as follows:
n: 46835213178825694889856999723453259693970361476861231271601762777313531932153614640872523478421889852187503754314541677
m: 1000000000000000000000000000000
deg: 5
c5: 6
c0: -5
skew: 0.96
# Murphy_E = 2.105e-09
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1150000, 1750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 241888 x 242116
Total sieving time: 8.21 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,150.000,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 8.26 hours.

GNFS, Msieve

3053166334871024089515458101007835704600834414584627520716706778869138586290916267607861503347503018926346578085083944912869845908247105279640306067<148>

84297551552920089521185865922656304861446175867112931944571664823<65>
36218920699663685530991063779610937570353327094434021106948052610326590228116039429<83>

Number: n
N=3053166334871024089515458101007835704600834414584627520716706778869138586290916267607861503347503018926346578085083944912869845908247105279640306067  ( 148 digits)
SNFS difficulty: 156 digits.
Divisors found:

Wed Apr 27 00:23:14 2022  p65 factor: 84297551552920089521185865922656304861446175867112931944571664823
Wed Apr 27 00:23:14 2022  p83 factor: 36218920699663685530991063779610937570353327094434021106948052610326590228116039429
Wed Apr 27 00:23:14 2022  elapsed time 00:05:51 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 6x10^156-5 = 59(155)5
#
n: 3053166334871024089515458101007835704600834414584627520716706778869138586290916267607861503347503018926346578085083944912869845908247105279640306067
m: 10000000000000000000000000000000
deg: 5
c5: 12
c0: -1
skew: 0.61
# Murphy_E = 1.255e-09
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 7000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1413782 hash collisions in 14845688 relations (14401364 unique)
Msieve: matrix is 313974 x 314201 (105.1 MB)

Sieving start time : 2022/04/26 23:49:53
Sieving end time  : 2022/04/27 00:16:46

Total sieving time: 0hrs 26min 53secs.

Total relation processing time: 0hrs 1min 41sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 54sec.

Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] 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)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

102397608557768215154965998180329091213818155823845004631130666019087943833786795017439176295630645643827857038128429085490452575933402274486256437961<150>

2333475318326805418347188887393506877495067262274498244361568535512897<70>
43882019129815082764602627091716018157773446479359467348463649785446411231979913<80>

Number: n
N=102397608557768215154965998180329091213818155823845004631130666019087943833786795017439176295630645643827857038128429085490452575933402274486256437961  ( 150 digits)
SNFS difficulty: 163 digits.
Divisors found:

Mon Apr 25 15:46:21 2022  p70 factor: 2333475318326805418347188887393506877495067262274498244361568535512897
Mon Apr 25 15:46:21 2022  p80 factor: 43882019129815082764602627091716018157773446479359467348463649785446411231979913
Mon Apr 25 15:46:21 2022  elapsed time 00:07:02 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.326).
Factorization parameters were as follows:
#
# N = 6x10^163-5 = 59(162)5
#
n: 102397608557768215154965998180329091213818155823845004631130666019087943833786795017439176295630645643827857038128429085490452575933402274486256437961
m: 100000000000000000000000000000000
deg: 5
c5: 1200
c0: -1
skew: 0.24
# Murphy_E = 5.752e-10
type: snfs
lss: 1
rlim: 3700000
alim: 3700000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3700000/3700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1630857 hash collisions in 15640616 relations (15016436 unique)
Msieve: matrix is 438839 x 439067 (148.1 MB)

Sieving start time : 2022/04/25 15:08:32
Sieving end time  : 2022/04/25 15:38:45

Total sieving time: 0hrs 30min 13secs.

Total relation processing time: 0hrs 2min 58sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 25sec.

Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,3700000,3700000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] 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)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

969494144194842902507384666596719829508068812150736672401711213711488638979053925035980872615083399937139487893471227<117>

988102172729225548785345670702111393458220388243<48>
981167910517810494712143365345326741055548052302898707104550149783289<69>

05/02/22 09:14:55, ****************************
05/02/22 09:14:55, Starting factorization of 969494144194842902507384666596719829508068812150736672401711213711488638979053925035980872615083399937139487893471227
05/02/22 09:14:55, using pretesting plan: normal
05/02/22 09:14:55, using tune info for qs/gnfs crossover
05/02/22 09:14:55, ****************************
05/02/22 09:14:55, rho: x^2 + 3, starting 1000 iterations on C117
05/02/22 09:14:55, rho: x^2 + 2, starting 1000 iterations on C117
05/02/22 09:14:55, rho: x^2 + 1, starting 1000 iterations on C117
05/02/22 09:14:55, pm1: starting B1 = 150K, B2 = gmp-ecm default on C117
05/02/22 09:14:55, current ECM pretesting depth: 0.00
05/02/22 09:14:55, scheduled 30 curves at B1=2000 toward target pretesting depth of 36.00
05/02/22 09:14:55, Finished 30 curves using GMP-ECM method on C117 input, B1=2k, B2=gmp-ecm default
05/02/22 09:14:55, current ECM pretesting depth: 15.18
05/02/22 09:14:55, scheduled 74 curves at B1=11000 toward target pretesting depth of 36.00
05/02/22 09:14:56, Finished 74 curves using GMP-ECM method on C117 input, B1=11k, B2=gmp-ecm default
05/02/22 09:14:56, current ECM pretesting depth: 20.24
05/02/22 09:14:56, scheduled 214 curves at B1=50000 toward target pretesting depth of 36.00
05/02/22 09:14:59, Finished 214 curves using GMP-ECM method on C117 input, B1=50k, B2=gmp-ecm default
05/02/22 09:14:59, pm1: starting B1 = 3750K, B2 = gmp-ecm default on C117
05/02/22 09:14:59, current ECM pretesting depth: 25.33
05/02/22 09:14:59, scheduled 430 curves at B1=250000 toward target pretesting depth of 36.00
05/02/22 09:15:26, Finished 430 curves using GMP-ECM method on C117 input, B1=250k, B2=gmp-ecm default
05/02/22 09:15:26, pm1: starting B1 = 15M, B2 = gmp-ecm default on C117
05/02/22 09:15:27, current ECM pretesting depth: 30.45
05/02/22 09:15:27, scheduled 904 curves at B1=1000000 toward target pretesting depth of 36.00
05/02/22 09:19:06, Finished 904 curves using GMP-ECM method on C117 input, B1=1M, B2=gmp-ecm default
05/02/22 09:19:06, current ECM pretesting depth: 35.56
05/02/22 09:19:06, scheduled 210 curves at B1=3000000 toward target pretesting depth of 36.00
05/02/22 09:21:32, Finished 210 curves using GMP-ECM method on C117 input, B1=3M, B2=gmp-ecm default
05/02/22 09:21:32, final ECM pretested depth: 36.00
05/02/22 09:21:32, scheduler: switching to sieve method
05/02/22 09:21:32, nfs: commencing nfs on c117: 969494144194842902507384666596719829508068812150736672401711213711488638979053925035980872615083399937139487893471227
05/02/22 09:21:32, nfs: commencing poly selection with 8 threads
05/02/22 09:21:32, nfs: setting deadline of 1237 seconds
05/02/22 09:21:32, nfs: expecting degree 5 poly E from 3.66e-10 to > 4.21e-10
05/02/22 09:21:32, nfs: searching for avg quality poly E > 3.79e-10
05/02/22 09:24:03, nfs: completed 20 ranges of size 250 in 150.8031 seconds
05/02/22 09:24:03, nfs: best poly = # norm 3.401743e-11 alpha -6.297602 e 3.886e-10 rroots 5
05/02/22 09:24:03, nfs: commencing lattice sieving with 8 threads
05/02/22 09:25:48, nfs: commencing lattice sieving with 8 threads
05/02/22 09:27:29, nfs: commencing lattice sieving with 8 threads
05/02/22 09:29:08, nfs: commencing lattice sieving with 8 threads
05/02/22 09:30:51, nfs: commencing lattice sieving with 8 threads
05/02/22 09:32:35, nfs: commencing lattice sieving with 8 threads
05/02/22 09:34:15, nfs: commencing lattice sieving with 8 threads
05/02/22 09:35:59, nfs: commencing lattice sieving with 8 threads
05/02/22 09:37:45, nfs: commencing lattice sieving with 8 threads
05/02/22 09:39:33, nfs: commencing lattice sieving with 8 threads
05/02/22 09:41:13, nfs: commencing lattice sieving with 8 threads
05/02/22 09:42:59, nfs: commencing lattice sieving with 8 threads
05/02/22 09:44:40, nfs: commencing lattice sieving with 8 threads
05/02/22 09:46:25, nfs: commencing lattice sieving with 8 threads
05/02/22 09:48:11, nfs: commencing lattice sieving with 8 threads
05/02/22 09:49:52, nfs: commencing lattice sieving with 8 threads
05/02/22 09:51:38, nfs: commencing lattice sieving with 8 threads
05/02/22 09:53:21, nfs: commencing lattice sieving with 8 threads
05/02/22 09:55:02, nfs: commencing lattice sieving with 8 threads
05/02/22 09:56:42, nfs: commencing lattice sieving with 8 threads
05/02/22 09:58:29, nfs: commencing lattice sieving with 8 threads
05/02/22 10:00:17, nfs: commencing lattice sieving with 8 threads
05/02/22 10:02:05, nfs: commencing lattice sieving with 8 threads
05/02/22 10:03:53, nfs: commencing lattice sieving with 8 threads
05/02/22 10:05:32, nfs: commencing lattice sieving with 8 threads
05/02/22 10:07:22, nfs: commencing lattice sieving with 8 threads
05/02/22 10:09:01, nfs: commencing lattice sieving with 8 threads
05/02/22 10:10:46, nfs: commencing lattice sieving with 8 threads
05/02/22 10:12:33, nfs: commencing lattice sieving with 8 threads
05/02/22 10:14:17, nfs: commencing lattice sieving with 8 threads
05/02/22 10:16:02, nfs: commencing lattice sieving with 8 threads
05/02/22 10:17:53, nfs: commencing lattice sieving with 8 threads
05/02/22 10:19:44, nfs: commencing lattice sieving with 8 threads
05/02/22 10:21:32, nfs: commencing lattice sieving with 8 threads
05/02/22 10:23:17, nfs: commencing lattice sieving with 8 threads
05/02/22 10:25:05, nfs: commencing msieve filtering
05/02/22 10:26:54, nfs: commencing msieve linear algebra
05/02/22 10:30:28, nfs: commencing msieve sqrt
05/02/22 10:31:16, prp48 = 988102172729225548785345670702111393458220388243
05/02/22 10:31:16, prp69 = 981167910517810494712143365345326741055548052302898707104550149783289
05/02/22 10:31:16, NFS elapsed time = 4184.4612 seconds.
05/02/22 10:31:16, 
05/02/22 10:31:16, 
05/02/22 10:31:16, Total factoring time = 4581.2495 seconds

Yafu-64.exe Version 2.08 using GMP-ecm 7.0.4

AMD Ryzen 7 5800X , Windows 11

21351493543823004151343699235995705135660543881203714470539324573789602353023183495904391856576968243153887723<110>

3701488222738725087237495219242588421071297931367259<52>
5768353769885851202221666662193042138999588452889786040497<58>

21351493543823004151343699235995705135660543881203714470539324573789602353023183495904391856576968243153887723=3701488222738725087237495219242588421071297931367259*5768353769885851202221666662193042138999588452889786040497

cado polynomial
n: 21351493543823004151343699235995705135660543881203714470539324573789602353023183495904391856576968243153887723
skew: 5512.951
c0: 136712754751533653093795
c1: -610760586636276154871
c2: -22293989041961387
c3: 1415447659343
c4: -464503440
c5: 216000
Y0: -868662425602411396644
Y1: 289142805504353
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 1.582e-06
# f(x) = 216000*x^5-464503440*x^4+1415447659343*x^3-22293989041961387*x^2-610760586636276154871*x+136712754751533653093795
# g(x) = 289142805504353*x-868662425602411396644

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: 5768353769885851202221666662193042138999588452889786040497 3701488222738725087237495219242588421071297931367259
Info:Square Root: Total cpu/real time for sqrt: 93.66/27.8511
Info:Filtering - Singleton removal: Total cpu/real time for purge: 62.21/71.799
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 5197494
Info:Lattice Sieving: Average J: 1891.16 for 86727 special-q, max bucket fill -bkmult 1.0,1s:1.301100
Info:Lattice Sieving: Total time: 8305.98s
Info:Generate Factor Base: Total cpu/real time for makefb: 2.27/0.621815
Info:Linear Algebra: Total cpu/real time for bwc: 1143.84/296.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 691.15, WCT time 176.89, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9344 iterations)
Info:Linear Algebra: Lingen CPU time 44.85, WCT time 11.45
Info:Linear Algebra: Mksol: CPU time 383.86,  WCT time 98.24, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4736 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 62.8/16.5783
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 20.46/22.2615
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 21.700000000000003s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 248.56
Info:Polynomial Selection (root optimized): Rootsieve time: 247.57
Info:Filtering - Merging: Merged matrix has 296674 rows and total weight 46054188 (155.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 45.26/13.6547
Info:Filtering - Merging: Total cpu/real time for replay: 9.93/8.02576
Info:Quadratic Characters: Total cpu/real time for characters: 11.27/4.3598
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): 11588/31.460/38.806/44.570/1.106
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 9016/30.430/34.392/39.260/0.871
Info:Polynomial Selection (size optimized): Total time: 703.51
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 86.42/94.7378
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 66.80000000000001s
Info:Square Root: Total cpu/real time for sqrt: 93.66/27.8511
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 17505.3/4916.27
Info:root: Cleaning up computation data in /tmp/cado._7epiok_
5768353769885851202221666662193042138999588452889786040497 3701488222738725087237495219242588421071297931367259

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)

12505572915224393834826010404622138367918700158142431010632592801323438816463894691333709349673437925259237906377991124834305666520060712774671868752150773513<158>

3870688342330667076010823984567323136106317490412839395211498953<64>
3230839532715874124872302987323524729205411780940458540804366226739513793618236454172366323521<94>

Number: n
N=12505572915224393834826010404622138367918700158142431010632592801323438816463894691333709349673437925259237906377991124834305666520060712774671868752150773513  ( 158 digits)
SNFS difficulty: 170 digits.
Divisors found:

Wed Apr 27 17:44:20 2022  p64 factor: 3870688342330667076010823984567323136106317490412839395211498953
Wed Apr 27 17:44:20 2022  p94 factor: 3230839532715874124872302987323524729205411780940458540804366226739513793618236454172366323521
Wed Apr 27 17:44:20 2022  elapsed time 00:08:32 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.324).
Factorization parameters were as follows:
#
# N = 6x10^170-5 = 59(169)5
#
n: 12505572915224393834826010404622138367918700158142431010632592801323438816463894691333709349673437925259237906377991124834305666520060712774671868752150773513
m: 10000000000000000000000000000000000
deg: 5
c5: 6
c0: -5
skew: 0.96
# Murphy_E = 3.513e-10
type: snfs
lss: 1
rlim: 4900000
alim: 4900000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1510700 hash collisions in 14662041 relations (14074729 unique)
Msieve: matrix is 554869 x 555094 (191.7 MB)

Sieving start time : 2022/04/27 16:54:51
Sieving end time  : 2022/04/27 17:33:17

Total sieving time: 0hrs 38min 26secs.

Total relation processing time: 0hrs 4min 36sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 29sec.

Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,4900000,4900000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] 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)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

335048011982491550974541355106924565828994120549724472980798581854295303617882198909329835051397783105591368767506547151186301838928080062007661563339<150>

11327810188555642010103161023234044610052102554012931300387<59>
29577474057694465301659405237234463018304254822739448350697013523044203839597374431777533497<92>

Number: n
N=335048011982491550974541355106924565828994120549724472980798581854295303617882198909329835051397783105591368767506547151186301838928080062007661563339  ( 150 digits)
SNFS difficulty: 172 digits.
Divisors found:

Wed Apr 27 23:47:22 2022  p59 factor: 11327810188555642010103161023234044610052102554012931300387
Wed Apr 27 23:47:22 2022  p92 factor: 29577474057694465301659405237234463018304254822739448350697013523044203839597374431777533497
Wed Apr 27 23:47:22 2022  elapsed time 00:10:15 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.326).
Factorization parameters were as follows:
#
# N = 6x10^172-5 = 59(171)5
#
n: 335048011982491550974541355106924565828994120549724472980798581854295303617882198909329835051397783105591368767506547151186301838928080062007661563339
m: 10000000000000000000000000000000000
deg: 5
c5: 120
c0: -1
skew: 0.38
# Murphy_E = 2.927e-10
type: snfs
lss: 1
rlim: 5200000
alim: 5200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5200000/5200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1536061 hash collisions in 14500529 relations (13862394 unique)
Msieve: matrix is 604813 x 605040 (208.6 MB)

Sieving start time : 2022/04/27 22:14:20
Sieving end time  : 2022/04/27 23:36:06

Total sieving time: 1hrs 21min 46secs.

Total relation processing time: 0hrs 5min 32sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 13sec.

Prototype def-par.txt line would be:
snfs,172,5,0,0,0,0,0,0,0,0,5200000,5200000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] 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)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

641196356284053008354683153050529882132219813382694617670602254514445187685053521549574173348417812603061285758008258437982993<126>

397017536516172447098341403789172922131427227064405989640426489<63>
1615032831825387076623257853125194408565336868926382438793586137<64>

641196356284053008354683153050529882132219813382694617670602254514445187685053521549574173348417812603061285758008258437982993=397017536516172447098341403789172922131427227064405989640426489*1615032831825387076623257853125194408565336868926382438793586137

cado polynomial
n: 641196356284053008354683153050529882132219813382694617670602254514445187685053521549574173348417812603061285758008258437982993
skew: 0.24
type: snfs
c0: -1
c5: 1200
Y0: 10000000000000000000000000000000000
Y1: -1
# f(x) = 1200*x^5-1
# g(x) = -x+10000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 5400000
tasks.lim1 = 5400000
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: 397017536516172447098341403789172922131427227064405989640426489 1615032831825387076623257853125194408565336868926382438793586137
Info:Square Root: Total cpu/real time for sqrt: 202.9/75.6578
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11629073
Info:Lattice Sieving: Average J: 1893.53 for 417018 special-q, max bucket fill -bkmult 1.0,1s:1.260740
Info:Lattice Sieving: Total time: 77183.3s
Info:Generate Free Relations: Total cpu/real time for freerel: 60.26/21.2947
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 46.01/58.593
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 58.4s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 106.69/111.843
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 97.7s
Info:Filtering - Merging: Merged matrix has 817538 rows and total weight 139090619 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 183.52/67.061
Info:Filtering - Merging: Total cpu/real time for replay: 30.67/25.9695
Info:Linear Algebra: Total cpu/real time for bwc: 10767.5/4290.83
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 6358.04, WCT time 2521.97, iteration CPU time 0.08, COMM 0.0, cpu-wait 0.02, comm-wait 0.0 (25600 iterations)
Info:Linear Algebra: Lingen CPU time 800.35, WCT time 284.22
Info:Linear Algebra: Mksol: CPU time 3485.78,  WCT time 1424.73, iteration CPU time 0.09, COMM 0.0, cpu-wait 0.02, comm-wait 0.0 (12800 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 2.34/1.95293
Info:Quadratic Characters: Total cpu/real time for characters: 29.66/14.6453
Info:Square Root: Total cpu/real time for sqrt: 202.9/75.6578
Info:Filtering - Singleton removal: Total cpu/real time for purge: 45.81/79.8211
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 117630/43642.8
Info:root: Cleaning up computation data in /tmp/cado.av9xf2ep
397017536516172447098341403789172922131427227064405989640426489 1615032831825387076623257853125194408565336868926382438793586137

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)

100710038550743416024324985572884009466128689281590652495738275732438715783136705354054834891165465894999770140665628389629674488256686706878183576087865704898607<162>

6482338715053090319379927949545191<34>
15536065450711117514882785336909664495511878576962809840325505033105071256975844971906958901891800910344431657232366812941017977<128>

Number: n
N=100710038550743416024324985572884009466128689281590652495738275732438715783136705354054834891165465894999770140665628389629674488256686706878183576087865704898607  ( 162 digits)
SNFS difficulty: 174 digits.
Divisors found:

Tue Apr 26 23:15:21 2022  p34 factor: 6482338715053090319379927949545191
Tue Apr 26 23:15:21 2022  p128 factor: 15536065450711117514882785336909664495511878576962809840325505033105071256975844971906958901891800910344431657232366812941017977
Tue Apr 26 23:15:21 2022  elapsed time 00:13:18 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.326).
Factorization parameters were as follows:
#
# N = 6x10^174-5 = 59(173)5
#
n: 100710038550743416024324985572884009466128689281590652495738275732438715783136705354054834891165465894999770140665628389629674488256686706878183576087865704898607
m: 20000000000000000000000000000000000
deg: 5
c5: 375
c0: -1
skew: 0.31
# Murphy_E = 2.259e-10
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1880242 hash collisions in 16833567 relations (15609994 unique)
Msieve: matrix is 632749 x 632974 (217.9 MB)

Sieving start time : 2022/04/26 21:59:06
Sieving end time  : 2022/04/26 23:01:41

Total sieving time: 1hrs 2min 35secs.

Total relation processing time: 0hrs 6min 5sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 7sec.

Prototype def-par.txt line would be:
snfs,174,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] 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)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

6848896524161027562270999180860319246139184720763685074649458335954031474708682620055956648619600676862738232847590144794143027112529<133>

2932740012598759899727555563790704876498095852341<49>
2335323449995174521975485416570915298340649089431076624104032732493958323076250561069<85>

Number: n
N=6848896524161027562270999180860319246139184720763685074649458335954031474708682620055956648619600676862738232847590144794143027112529  ( 133 digits)
SNFS difficulty: 175 digits.
Divisors found:

Fri Jun 10 16:11:42 2022  p49 factor: 2932740012598759899727555563790704876498095852341
Fri Jun 10 16:11:42 2022  p85 factor: 2335323449995174521975485416570915298340649089431076624104032732493958323076250561069
Fri Jun 10 16:11:42 2022  elapsed time 00:20:13 (Msieve 1.54 - dependency 7)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 6x10^175-5 = 59(174)5
#
n: 6848896524161027562270999180860319246139184720763685074649458335954031474708682620055956648619600676862738232847590144794143027112529
m: 100000000000000000000000000000000000
deg: 5
c5: 6
c0: -5
skew: 0.96
# Murphy_E = 2.219e-10
type: snfs
lss: 1
rlim: 6000000
alim: 6000000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved  special-q in [100000, 66200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2544033 hash collisions in 28919183 relations (28263136 unique)
Msieve: matrix is 792183 x 792408 (267.1 MB)

Sieving start time : 2022/06/10 07:48:46
Sieving end time  : 2022/06/10 15:48:09

Total sieving time: 7hrs 59min 23secs.

Total relation processing time: 0hrs 8min 42sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 20sec.

Prototype def-par.txt line would be:
snfs,175,5,0,0,0,0,0,0,0,0,6000000,6000000,28,28,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117895] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154151] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798644)
[    0.152036] smpboot: Total of 16 processors activated (102389.15 BogoMIPS)

179275032385661110818876208782447791114230031887500614577220397094495525960003232328833913469828064338044347533673789567474931636080827283759613754333058858278888875459861<171>

10984420778636151019822729700790908992407619<44>
16320845313422186568422594548059209419243955547083184903439513733562974123603093412832984257765373651080437257955582448009982919<128>

Number: n
N=179275032385661110818876208782447791114230031887500614577220397094495525960003232328833913469828064338044347533673789567474931636080827283759613754333058858278888875459861  ( 171 digits)
SNFS difficulty: 178 digits.
Divisors found:

Wed Apr 27 12:33:00 2022  p44 factor: 10984420778636151019822729700790908992407619
Wed Apr 27 12:33:00 2022  p128 factor: 16320845313422186568422594548059209419243955547083184903439513733562974123603093412832984257765373651080437257955582448009982919
Wed Apr 27 12:33:00 2022  elapsed time 00:17:23 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.307).
Factorization parameters were as follows:
#
# N = 6x10^178-5 = 59(177)5
#
n: 179275032385661110818876208782447791114230031887500614577220397094495525960003232328833913469828064338044347533673789567474931636080827283759613754333058858278888875459861
m: 100000000000000000000000000000000000
deg: 5
c5: 1200
c0: -1
skew: 0.24
# Murphy_E = 1.463e-10
type: snfs
lss: 1
rlim: 6500000
alim: 6500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6500000/6500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4441372 hash collisions in 32642057 relations (29982555 unique)
Msieve: matrix is 795152 x 795380 (267.3 MB)

Sieving start time : 2022/04/27 10:49:29
Sieving end time  : 2022/04/27 12:15:06

Total sieving time: 1hrs 25min 37secs.

Total relation processing time: 0hrs 8min 57sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 44sec.

Prototype def-par.txt line would be:
snfs,178,5,0,0,0,0,0,0,0,0,6500000,6500000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] 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)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

151293312483892793960183245543972031998672880243881620558547471257110445803166644416634755141736156729847842153608767914823033491137133429<138>

273367427978761093173288057067874512771<39>
553443084285986405305102389286630417703176111823019296096235640529664069704908676494331702295052199<99>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1779740784
Step 1 took 5875ms
Step 2 took 3328ms
********** Factor found in step 2: 273367427978761093173288057067874512771
Found prime factor of 39 digits: 273367427978761093173288057067874512771
Prime cofactor 553443084285986405305102389286630417703176111823019296096235640529664069704908676494331702295052199 has 99 digits

GMP-ECM

1090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909<181>

7201141481042668458727911233669470794615800409373<49>
36509374262297849414752897919060302229403937105430051<53>
4149376353830092591914018949988277339994282178418548620544040674060113849515083<79>

Number: n
N=1090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909  ( 181 digits)
SNFS difficulty: 181 digits.
Divisors found:

Thu Apr 28 11:41:08 2022  found factor: 36509374262297849414752897919060302229403937105430051
Thu Apr 28 11:42:27 2022  p49 factor: 7201141481042668458727911233669470794615800409373
Thu Apr 28 11:42:27 2022  p53 factor: 36509374262297849414752897919060302229403937105430051
Thu Apr 28 11:42:27 2022  p79 factor: 4149376353830092591914018949988277339994282178418548620544040674060113849515083
Thu Apr 28 11:42:27 2022  elapsed time 00:18:09 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.318).
Factorization parameters were as follows:
#
# N = 6x10^181-5 = 59(180)5
#
n: 1090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909
m: 1000000000000000000000000000000000000
deg: 5
c5: 12
c0: -1
skew: 0.61
# Murphy_E = 1.288e-10
type: snfs
lss: 1
rlim: 7300000
alim: 7300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7300000/7300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 9250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3183348 hash collisions in 31486515 relations (30332426 unique)
Msieve: matrix is 755775 x 756002 (256.3 MB)

Sieving start time : 2022/04/28 09:17:27
Sieving end time  : 2022/04/28 11:23:48

Total sieving time: 2hrs 6min 21secs.

Total relation processing time: 0hrs 8min 37sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 58sec.

Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,7300000,7300000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] 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)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

1798935168277754893434388198399574800037783928810471263978399527743791474647344261289490970491399434552968298425117246367512952633746206385635154479410955333689237075599713<172>

16690690360231666940761962315667087904655094196643097190026630140398094827<74>
107780752590319197330599032483799409194762109972449431347246919131651882498467497696047637979874019<99>

Number: n
N=1798935168277754893434388198399574800037783928810471263978399527743791474647344261289490970491399434552968298425117246367512952633746206385635154479410955333689237075599713  ( 172 digits)
SNFS difficulty: 182 digits.
Divisors found:

Fri Apr 29 18:03:36 2022  p74 factor: 16690690360231666940761962315667087904655094196643097190026630140398094827
Fri Apr 29 18:03:36 2022  p99 factor: 107780752590319197330599032483799409194762109972449431347246919131651882498467497696047637979874019
Fri Apr 29 18:03:36 2022  elapsed time 00:17:10 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.318).
Factorization parameters were as follows:
#
# N = 6x10^182-5 = 59(181)5
#
n: 1798935168277754893434388198399574800037783928810471263978399527743791474647344261289490970491399434552968298425117246367512952633746206385635154479410955333689237075599713
m: 1000000000000000000000000000000000000
deg: 5
c5: 120
c0: -1
skew: 0.38
# Murphy_E = 1.16e-10
type: snfs
lss: 1
rlim: 7600000
alim: 7600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7600000/7600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 9400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3230865 hash collisions in 31468153 relations (30252275 unique)
Msieve: matrix is 783722 x 783948 (267.8 MB)

Sieving start time : 2022/04/29 15:29:11
Sieving end time  : 2022/04/29 17:45:56

Total sieving time: 2hrs 16min 45secs.

Total relation processing time: 0hrs 8min 39sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 44sec.

Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,7600000,7600000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] 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)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

20202598390863038167759009937994858438709525356786305331970780308527348425796697885293013436411479789825634740388192928080433278393489375958571204899803529730648856953818543628353<179>

8084416219390933988826620748769486431020934194687205639026500065674898186434179600313<85>
2498955749260651893806127965895347140335089630267164749415831815091713132810605494597835131081<94>

Number: n
N=20202598390863038167759009937994858438709525356786305331970780308527348425796697885293013436411479789825634740388192928080433278393489375958571204899803529730648856953818543628353  ( 179 digits)
SNFS difficulty: 184 digits.
Divisors found:

Sat Apr 30 07:18:44 2022  p85 factor: 8084416219390933988826620748769486431020934194687205639026500065674898186434179600313
Sat Apr 30 07:18:44 2022  p94 factor: 2498955749260651893806127965895347140335089630267164749415831815091713132810605494597835131081
Sat Apr 30 07:18:44 2022  elapsed time 00:21:12 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.313).
Factorization parameters were as follows:
#
# N = 6x10^184-5 = 59(183)5
#
n: 20202598390863038167759009937994858438709525356786305331970780308527348425796697885293013436411479789825634740388192928080433278393489375958571204899803529730648856953818543628353
m: 2000000000000000000000000000000000000
deg: 5
c5: 375
c0: -1
skew: 0.31
# Murphy_E = 8.925e-11
type: snfs
lss: 1
rlim: 8200000
alim: 8200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8200000/8200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 9700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2892837 hash collisions in 29780694 relations (28795534 unique)
Msieve: matrix is 903801 x 904028 (311.4 MB)

Sieving start time : 2022/04/30 04:18:52
Sieving end time  : 2022/04/30 06:56:43

Total sieving time: 2hrs 37min 51secs.

Total relation processing time: 0hrs 12min 49sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 3sec.

Prototype def-par.txt line would be:
snfs,184,5,0,0,0,0,0,0,0,0,8200000,8200000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] 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)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

6598017556346011499211941030591977819048499778232382409265120997112647035515385529506111828886836746587701885797542327533498121387698791327308401254104990987355443689711267507709<178>

19096346047908753490379704123093042070061383179<47>
336024953648716343791826985948633058989062102706169<51>
1028233291216338894603070327982193846572855263150473273982960569315520140675138959<82>

Number: n
N=6598017556346011499211941030591977819048499778232382409265120997112647035515385529506111828886836746587701885797542327533498121387698791327308401254104990987355443689711267507709  ( 178 digits)
SNFS difficulty: 186 digits.
Divisors found:

Mon May  2 02:25:20 2022  found factor: 336024953648716343791826985948633058989062102706169
Mon May  2 02:26:15 2022  p47 factor: 19096346047908753490379704123093042070061383179
Mon May  2 02:26:15 2022  p51 factor: 336024953648716343791826985948633058989062102706169
Mon May  2 02:26:15 2022  p82 factor: 1028233291216338894603070327982193846572855263150473273982960569315520140675138959
Mon May  2 02:26:15 2022  elapsed time 00:22:09 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.342).
Factorization parameters were as follows:
#
# N = 6x10^186-5 = 59(185)5
#
n: 6598017556346011499211941030591977819048499778232382409265120997112647035515385529506111828886836746587701885797542327533498121387698791327308401254104990987355443689711267507709
m: 10000000000000000000000000000000000000
deg: 5
c5: 12
c0: -1
skew: 0.61
# Murphy_E = 8.06e-11
type: snfs
lss: 1
rlim: 8800000
alim: 8800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8800000/8800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 10000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3110011 hash collisions in 30507668 relations (29332522 unique)
Msieve: matrix is 922319 x 922545 (317.3 MB)

Sieving start time : 2022/05/01 23:28:44
Sieving end time  : 2022/05/02 02:03:36

Total sieving time: 2hrs 34min 52secs.

Total relation processing time: 0hrs 12min 48sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 50sec.

Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,8800000,8800000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] 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)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

1090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909<187>

273513886823531198150232688259641641405529045570499<51>
6911836005777018510748865556511118280792772952807320041122480929<64>
577053068078165378301676764992055961190790690321089908315418388114122879<72>

Number: n
N=1090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909  ( 187 digits)
SNFS difficulty: 187 digits.
Divisors found:

Sun May  1 16:19:06 2022  found factor: 6911836005777018510748865556511118280792772952807320041122480929
Sun May  1 16:20:09 2022  p51 factor: 273513886823531198150232688259641641405529045570499
Sun May  1 16:20:09 2022  p64 factor: 6911836005777018510748865556511118280792772952807320041122480929
Sun May  1 16:20:09 2022  p72 factor: 577053068078165378301676764992055961190790690321089908315418388114122879
Sun May  1 16:20:09 2022  elapsed time 00:24:41 (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 = 6x10^187-5 = 59(186)5
#
n: 1090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909
m: 10000000000000000000000000000000000000
deg: 5
c5: 120
c0: -1
skew: 0.38
# Murphy_E = 7.257e-11
type: snfs
lss: 1
rlim: 9200000
alim: 9200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9200000/9200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 10200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3022218 hash collisions in 29934191 relations (28801343 unique)
Msieve: matrix is 973473 x 973698 (337.3 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0hrs 14min 59sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 6sec.

Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,9200000,9200000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] 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)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

51803052556861767388647953773315534598701914131747055586733543082170040986877221617551736465875245333745077737133028646639190095943951912969161<143>

9791904240206775088835673321973724181481050079547<49>
5290396156464847664137188314458738161280700287851145260487462029663389554112336999466492649163<94>

51803052556861767388647953773315534598701914131747055586733543082170040986877221617551736465875245333745077737133028646639190095943951912969161=9791904240206775088835673321973724181481050079547*5290396156464847664137188314458738161280700287851145260487462029663389554112336999466492649163

cado polynomial
n: 51803052556861767388647953773315534598701914131747055586733543082170040986877221617551736465875245333745077737133028646639190095943951912969161
skew: 0.31
type: snfs
c0: -1
c5: 375
Y0: 20000000000000000000000000000000000000
Y1: -1
# f(x) = 375*x^5-1
# g(x) = -x+20000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 9900000
tasks.lim1 = 9900000
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: 9791904240206775088835673321973724181481050079547 5290396156464847664137188314458738161280700287851145260487462029663389554112336999466492649163
Info:Square Root: Total cpu/real time for sqrt: 470.09/147.804
Info:Generate Factor Base: Total cpu/real time for makefb: 4.21/2.18519
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23224900
Info:Lattice Sieving: Average J: 1894.4 for 1283954 special-q, max bucket fill -bkmult 1.0,1s:1.145400
Info:Lattice Sieving: Total time: 248732s
Info:Linear Algebra: Total cpu/real time for bwc: 48812.5/12542.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 31267.96, WCT time 7984.75, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (54016 iterations)
Info:Linear Algebra: Lingen CPU time 338.61, WCT time 85.92
Info:Linear Algebra: Mksol: CPU time 16889.44,  WCT time 4351.38, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (27136 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 118.56/31.8973
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 323.19/309.57
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 260.09999999999997s
Info:Square Root: Total cpu/real time for sqrt: 470.09/147.804
Info:Quadratic Characters: Total cpu/real time for characters: 62.99/27.2435
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 96.61/103.156
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 102.70000000000002s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 206.1/237.962
Info:Filtering - Merging: Merged matrix has 1722040 rows and total weight 292935258 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 462.13/127.12
Info:Filtering - Merging: Total cpu/real time for replay: 67.24/58.1469
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 516498/137921
Info:root: Cleaning up computation data in /tmp/cado.fzawik6v
9791904240206775088835673321973724181481050079547 5290396156464847664137188314458738161280700287851145260487462029663389554112336999466492649163

cado-nfs-3.0.0

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

401609901240406472223890875796076254899834856520916365637689141985970776421521136664162220273023688419185726483981768957617877232432976689631717850899930228313418127099873<171>

176357784332107263360957855133908896179136453536407372314649676582774810392596461<81>
2277245105802173337207481356876085706317776162571791288852802183183935008576757310214689093<91>

Number: n
N=401609901240406472223890875796076254899834856520916365637689141985970776421521136664162220273023688419185726483981768957617877232432976689631717850899930228313418127099873  ( 171 digits)
SNFS difficulty: 195 digits.
Divisors found:

Wed May  4 22:37:03 2022  p81 factor: 176357784332107263360957855133908896179136453536407372314649676582774810392596461
Wed May  4 22:37:03 2022  p91 factor: 2277245105802173337207481356876085706317776162571791288852802183183935008576757310214689093
Wed May  4 22:37:03 2022  elapsed time 00:43:45 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.320).
Factorization parameters were as follows:
#
# N = 6x10^195-5 = 59(194)5
#
n: 401609901240406472223890875796076254899834856520916365637689141985970776421521136664162220273023688419185726483981768957617877232432976689631717850899930228313418127099873
m: 1000000000000000000000000000000000000000
deg: 5
c5: 6
c0: -5
skew: 0.96
# Murphy_E = 3.378e-11
type: snfs
lss: 1
rlim: 12800000
alim: 12800000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12800000/12800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3205473 hash collisions in 29590748 relations (28184926 unique)
Msieve: matrix is 1349685 x 1349910 (472.7 MB)

Sieving start time : 2022/05/04 17:32:46
Sieving end time  : 2022/05/04 21:52:48

Total sieving time: 4hrs 20min 2secs.

Total relation processing time: 0hrs 33min 10sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 58sec.

Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,12800000,12800000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118092] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154093] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798652)
[    0.152020] smpboot: Total of 16 processors activated (102389.21 BogoMIPS)

22091322967529162059136125485591975791486562467130112692196938452523556830420484272708035773287037636267767387723782251913294914307<131>

662927613698037636576473132330140755190526813293<48>
33323884102965909731012362307682859763386238291157367814353329973439858614802833199<83>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2692526434
Step 1 took 17875ms
Step 2 took 9312ms
********** Factor found in step 2: 662927613698037636576473132330140755190526813293
Found prime factor of 48 digits: 662927613698037636576473132330140755190526813293
Prime cofactor 33323884102965909731012362307682859763386238291157367814353329973439858614802833199 has 83 digits
 

GMP-ECM

1228763929374233871951616586855102184285572425956984548887329973588105540481537926610118374870576207356513117391154495678496635941882377033373010879140689582772835523424401<172>

418054252841267184417263734785622291<36>
2939245136302413189717656232121881138679097495603410630637872883999345387416086958600774299757922831037303238230682952570166715207131211<136>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1059985668
Step 1 took 7916ms
Step 2 took 4227ms
********** Factor found in step 2: 418054252841267184417263734785622291
Found prime factor of 36 digits: 418054252841267184417263734785622291
Prime cofactor 2939245136302413189717656232121881138679097495603410630637872883999345387416086958600774299757922831037303238230682952570166715207131211 has 136 digits

3517621237337565128640822973660798251157317923371554021965446201002721280638157615959548055539841417983892144619396013908554998143503199668691<142>

1297081341836985171481231386658648493251189406875380116810147646193<67>
2711951150539064172582343540371352002550106783992618597766910998322701744387<76>

Number: n
N=3517621237337565128640822973660798251157317923371554021965446201002721280638157615959548055539841417983892144619396013908554998143503199668691  ( 142 digits)
SNFS difficulty: 201 digits.
Divisors found:

Sun Oct  1 17:35:22 2023  prp67 factor: 1297081341836985171481231386658648493251189406875380116810147646193
Sun Oct  1 17:35:22 2023  prp76 factor: 2711951150539064172582343540371352002550106783992618597766910998322701744387
Sun Oct  1 17:35:22 2023  elapsed time 01:33:56 (Msieve 1.44 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.090).
Factorization parameters were as follows:
#
# N = 6x10^201-5 = 59(200)5
#
n: 3517621237337565128640822973660798251157317923371554021965446201002721280638157615959548055539841417983892144619396013908554998143503199668691
m: 10000000000000000000000000000000000000000
deg: 5
c5: 12
c0: -1
skew: 0.61
# Murphy_E = 1.925e-11
type: snfs
lss: 1
rlim: 15700000
alim: 15700000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 15700000/15700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 26250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2911001 hash collisions in 19969544 relations (17674882 unique)
Msieve: matrix is 1704306 x 1704531 (479.2 MB)

Sieving start time: 2023/10/01 07:44:51
Sieving end time  : 2023/10/01 16:01:00

Total sieving time: 8hrs 16min 9secs.

Total relation processing time: 1hrs 22min 22sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 26sec.

Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,15700000,15700000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

36560751789948539193616009105676466298380547770396312139336876534922501537996257403729994717745422487856890153867620920689632518595676981619272370108008519095740419<164>

776617492391250253733328588011537<33>

47076909995132695534289188112488430114830345873563584733845556467290698219053717489113220017536561335339483118931229696995213759187<131>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3561775788
Step 1 took 7959ms
Step 2 took 3923ms
********** Factor found in step 2: 776617492391250253733328588011537
Found prime factor of 33 digits: 776617492391250253733328588011537
Composite cofactor 47076909995132695534289188112488430114830345873563584733845556467290698219053717489113220017536561335339483118931229696995213759187 has 131 digits

47076909995132695534289188112488430114830345873563584733845556467290698219053717489113220017536561335339483118931229696995213759187<131>

4173052530537120971161190965531834900376757653623<49>
11281168796855126861843993642570781454253108190047696362739127505716935067052270469<83>

47076909995132695534289188112488430114830345873563584733845556467290698219053717489113220017536561335339483118931229696995213759187=4173052530537120971161190965531834900376757653623*11281168796855126861843993642570781454253108190047696362739127505716935067052270469

cado polynomial
n: 47076909995132695534289188112488430114830345873563584733845556467290698219053717489113220017536561335339483118931229696995213759187
skew: 123136.592
c0: 3218286191152892552346584025524
c1: 294941826619488220423841520
c2: -376960073808189653959
c3: -23930412150046353
c4: -64230659332
c5: 390600
Y0: -17597196675653374703213985
Y1: 3373963534666907
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 3.946e-07
# f(x) = 390600*x^5-64230659332*x^4-23930412150046353*x^3-376960073808189653959*x^2+294941826619488220423841520*x+3218286191152892552346584025524
# g(x) = 3373963534666907*x-17597196675653374703213985

cado parameters (extracts)
tasks.lim0 = 13124945
tasks.lim1 = 44217255
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.I = 14
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 4173052530537120971161190965531834900376757653623 11281168796855126861843993642570781454253108190047696362739127505716935067052270469
Info:Square Root: Total cpu/real time for sqrt: 1500.52/441.656
Info:Filtering - Singleton removal: Total cpu/real time for purge: 254.94/286.937
Info:Generate Free Relations: Total cpu/real time for freerel: 252.05/64.2623
Info:Linear Algebra: Total cpu/real time for bwc: 55256.1/14215.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 35687.46, WCT time 9149.6, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (57088 iterations)
Info:Linear Algebra: Lingen CPU time 356.31, WCT time 90.52
Info:Linear Algebra: Mksol: CPU time 18872.99,  WCT time 4840.63, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (28672 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 24283570
Info:Lattice Sieving: Average J: 7865.19 for 72253 special-q, max bucket fill -bkmult 1.0,1s:1.071140
Info:Lattice Sieving: Total time: 98469.6s
Info:Generate Factor Base: Total cpu/real time for makefb: 40.72/10.7744
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5037.47
Info:Polynomial Selection (root optimized): Rootsieve time: 5034.98
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 105.33/126.057
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 125.7s
Info:Filtering - Merging: Merged matrix has 1822271 rows and total weight 311216766 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 461.25/130.065
Info:Filtering - Merging: Total cpu/real time for replay: 73.31/61.5072
Info:Quadratic Characters: Total cpu/real time for characters: 70.58/29.7281
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38760/38.510/46.672/50.910/0.835
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30746/38.480/41.946/47.500/1.031
Info:Polynomial Selection (size optimized): Total time: 4814.05
Info:Square Root: Total cpu/real time for sqrt: 1500.52/441.656
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 385.29/362.147
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 310.5s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 257615/33151.4
Info:root: Cleaning up computation data in /tmp/cado.e7mgei6l
4173052530537120971161190965531834900376757653623 11281168796855126861843993642570781454253108190047696362739127505716935067052270469

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)

213421893508051946313093533109490967063566590319453698830722357388808017750929723760481556996745375207045848064197782409912623756343389320677897163217823292388069750544085570232163358149<186>

25201262547829644327012733739927496518692283<44>
13255267103574350570208675320681096654953868593<47>
638893083099531370484379965988113726692182786546448263459193961606720609817709032049623902097071<96>

Number: n
N=213421893508051946313093533109490967063566590319453698830722357388808017750929723760481556996745375207045848064197782409912623756343389320677897163217823292388069750544085570232163358149  ( 186 digits)
SNFS difficulty: 203 digits.
Divisors found:

Tue Jul 11 11:50:35 2023  prp44 factor: 25201262547829644327012733739927496518692283
Tue Jul 11 11:50:35 2023  prp47 factor: 13255267103574350570208675320681096654953868593
Tue Jul 11 11:50:35 2023  prp96 factor: 638893083099531370484379965988113726692182786546448263459193961606720609817709032049623902097071
Tue Jul 11 11:50:35 2023  elapsed time 02:17:37 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.105).
Factorization parameters were as follows:
#
# N = 6x10^203-5 = 59(202)5
#
n: 213421893508051946313093533109490967063566590319453698830722357388808017750929723760481556996745375207045848064197782409912623756343389320677897163217823292388069750544085570232163358149
m: 10000000000000000000000000000000000000000
deg: 5
c5: 1200
c0: -1
skew: 0.24
# Murphy_E = 1.368e-11
type: snfs
lss: 1
rlim: 17000000
alim: 17000000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17000000/17000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 26900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2567755 hash collisions in 17435310 relations (15392306 unique)
Msieve: matrix is 2077547 x 2077772 (586.9 MB)

Sieving start time: 2023/07/10 22:52:03
Sieving end time  : 2023/07/11 09:32:11

Total sieving time: 10hrs 40min 8secs.

Total relation processing time: 2hrs 7min 50sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 7sec.

Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,17000000,17000000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

593159470461474038022337896956191145324623423368267529416477545105330653848079575396373540473687024694195789729573339242788103166617945463999718003194523<153>

9976132018934508353277805145995708771<37>
59457860956096879339717163834398175183211281385561799595681229051091404783937404388607316267264285760411837496945513<116>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2627031780
Step 1 took 51309ms
Step 2 took 25325ms
********** Factor found in step 2: 9976132018934508353277805145995708771
Found prime factor of 37 digits: 9976132018934508353277805145995708771
Prime cofactor 59457860956096879339717163834398175183211281385561799595681229051091404783937404388607316267264285760411837496945513 has 116 digits

65970297154790813282801729133597862338225574609768656808477086315663183380959812690708123810024743326901104132372432613756084196066990176225184872834078450413<158>

380460498388584063458581227749156204489273103367395214645494717239<66>
173395917405890382633343216163861037879824335004577866174084330206959308888165033318238268667<93>

Number: n
N=65970297154790813282801729133597862338225574609768656808477086315663183380959812690708123810024743326901104132372432613756084196066990176225184872834078450413  ( 158 digits)
SNFS difficulty: 205 digits.
Divisors found:

Wed May  8 20:55:04 2024  prp66 factor: 380460498388584063458581227749156204489273103367395214645494717239
Wed May  8 20:55:04 2024  prp93 factor: 173395917405890382633343216163861037879824335004577866174084330206959308888165033318238268667
Wed May  8 20:55:04 2024  elapsed time 01:47:48 (Msieve 1.44 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.940).
Factorization parameters were as follows:
#
# N = 6x10^205-5 = 59(204)5
#
n: 65970297154790813282801729133597862338225574609768656808477086315663183380959812690708123810024743326901104132372432613756084196066990176225184872834078450413
m: 100000000000000000000000000000000000000000
deg: 5
c5: 6
c0: -5
skew: 0.96
# Murphy_E = 1.285e-11
type: snfs
lss: 1
rlim: 18800000
alim: 18800000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18800000/18800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 35000000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 4364783 hash collisions in 23403598 relations (19465305 unique)
Msieve: matrix is 1847280 x 1847508 (519.6 MB)

Sieving start time: 2024/05/08 06:43:41
Sieving end time  : 2024/05/08 19:06:46

Total sieving time: 12hrs 23min 5secs.

Total relation processing time: 1hrs 38min 47sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 48sec.

Prototype def-par.txt line would be:
snfs,205,5,0,0,0,0,0,0,0,0,18800000,18800000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

1347776188543066098440247989871789299964706200402632846480270070095670331580875952850742527760796095217653788017271311227710071666912214919931651094971872496761642294888161153581998921707421600007<196>

4496255725686126752112822823649656440913<40>

299755234303848679135911488357093305116881998499253585936276675300579985096044077745979515767343669586267142855406741611364260822059222110350216424861498839<156>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2527282305
Step 1 took 32000ms
Step 2 took 12609ms
********** Factor found in step 2: 4496255725686126752112822823649656440913
Found prime factor of 40 digits: 4496255725686126752112822823649656440913
Composite cofactor 299755234303848679135911488357093305116881998499253585936276675300579985096044077745979515767343669586267142855406741611364260822059222110350216424861498839 has 156 digits
 

GMP-ECM

1097617752124462915449360930699776566485279592901811429769095055717278319867273515858115371847729872996285955900264057551713<124>

1887471575482652639773731213085324740912989238239<49>
581528096307244703626372058226482813766722894162180691080538785717571762367<75>

1097617752124462915449360930699776566485279592901811429769095055717278319867273515858115371847729872996285955900264057551713=1887471575482652639773731213085324740912989238239*581528096307244703626372058226482813766722894162180691080538785717571762367

cado polynomial
n: 1097617752124462915449360930699776566485279592901811429769095055717278319867273515858115371847729872996285955900264057551713
skew: 30885.233
c0: 302618969095211110473341760
c1: -2823911114620792225514076
c2: -699302184653475055
c3: 3547728833023531
c4: -1135409940
c5: -957600
Y0: -626186775625600478021906
Y1: 40991861305958987
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 3.105e-07
# f(x) = -957600*x^5-1135409940*x^4+3547728833023531*x^3-699302184653475055*x^2-2823911114620792225514076*x+302618969095211110473341760
# g(x) = 40991861305958987*x-626186775625600478021906

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

cado log (extracts)
Info:Square Root: Factors: 581528096307244703626372058226482813766722894162180691080538785717571762367 1887471575482652639773731213085324740912989238239
Info:Square Root: Total cpu/real time for sqrt: 250.12/74.9535
Info:Filtering - Singleton removal: Total cpu/real time for purge: 56.91/62.0716
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11624216
Info:Lattice Sieving: Average J: 3813.51 for 161486 special-q, max bucket fill -bkmult 1.0,1s:1.193180
Info:Lattice Sieving: Total time: 49008.9s
Info:Generate Factor Base: Total cpu/real time for makefb: 8.26/2.22067
Info:Linear Algebra: Total cpu/real time for bwc: 7350.35/1894.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 4611.07, WCT time 1183.51, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (22016 iterations)
Info:Linear Algebra: Lingen CPU time 122.81, WCT time 31.21
Info:Linear Algebra: Mksol: CPU time 2509.13,  WCT time 641.4, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11008 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 127.71/33.2978
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 49.62/58.4048
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 58.3s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2195.69
Info:Polynomial Selection (root optimized): Rootsieve time: 2193.24
Info:Filtering - Merging: Merged matrix has 699129 rows and total weight 119193435 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 139.79/40.5203
Info:Filtering - Merging: Total cpu/real time for replay: 25.48/21.8567
Info:Quadratic Characters: Total cpu/real time for characters: 25.9/10.3054
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19925.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20383/36.610/43.811/49.350/0.888
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15980/35.200/39.192/44.510/0.895
Info:Polynomial Selection (size optimized): Total time: 2010.65
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 123.46/108
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 96.1s
Info:Square Root: Total cpu/real time for sqrt: 250.12/74.9535
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 103753/28247.9
Info:root: Cleaning up computation data in /tmp/cado.xz_pyjic
581528096307244703626372058226482813766722894162180691080538785717571762367 1887471575482652639773731213085324740912989238239

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)

215391639716979431959222990815653348114760293309925956465858312764817914947722299010329846134344175130837063875862954080383633344929674993799223306177844596380856849<165>

105811775937406827795766188039052105085146896277792799507216254464903602578837925889461199196257356597102379214077366020821291491221<132>

16066887234070397536098867445144476483553214963128681531<56>
6585704772547930014699713645776322999288509408650635244447064127463810874991<76>

105811775937406827795766188039052105085146896277792799507216254464903602578837925889461199196257356597102379214077366020821291491221=16066887234070397536098867445144476483553214963128681531*6585704772547930014699713645776322999288509408650635244447064127463810874991

cado polynomial
n: 105811775937406827795766188039052105085146896277792799507216254464903602578837925889461199196257356597102379214077366020821291491221
skew: 92239.937
c0: -320266549204825132243472538876
c1: 23139784280174322580359403
c2: 231069810375348751777
c3: -759657367586642
c4: 14491099648
c5: -99360
Y0: -18436383637365847707900905
Y1: 7645494007615457
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 4.262e-07
# f(x) = -99360*x^5+14491099648*x^4-759657367586642*x^3+231069810375348751777*x^2+23139784280174322580359403*x-320266549204825132243472538876
# g(x) = 7645494007615457*x-18436383637365847707900905

cado parameters (extracts)
tasks.lim0 = 13124945
tasks.lim1 = 44217255
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.I = 14
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 16066887234070397536098867445144476483553214963128681531 6585704772547930014699713645776322999288509408650635244447064127463810874991
Info:Square Root: Total cpu/real time for sqrt: 736.15/223.008
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 383.11/358.901
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 307.7s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 250.9/278.265
Info:Linear Algebra: Total cpu/real time for bwc: 51039.2/13094
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 32623.21, WCT time 8337.32, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (55552 iterations)
Info:Linear Algebra: Lingen CPU time 350.13, WCT time 88.87
Info:Linear Algebra: Mksol: CPU time 17738.54,  WCT time 4544.31, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (27904 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 24315816
Info:Lattice Sieving: Average J: 7727.22 for 70949 special-q, max bucket fill -bkmult 1.0,1s:1.072870
Info:Lattice Sieving: Total time: 98533.1s
Info:Generate Factor Base: Total cpu/real time for makefb: 40.77/10.7806
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5532.16
Info:Polynomial Selection (root optimized): Rootsieve time: 5529.71
Info:Generate Free Relations: Total cpu/real time for freerel: 252.87/64.3883
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 104.61/123.143
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 122.7s
Info:Filtering - Merging: Merged matrix has 1777074 rows and total weight 302306052 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 442.35/125.229
Info:Filtering - Merging: Total cpu/real time for replay: 70.68/59.4657
Info:Quadratic Characters: Total cpu/real time for characters: 68.5/29.1832
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38528/38.260/46.801/50.310/0.845
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30502/37.940/42.071/47.630/1.045
Info:Polynomial Selection (size optimized): Total time: 4828.03
Info:Square Root: Total cpu/real time for sqrt: 736.15/223.008
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 249022/66775.2
Info:root: Cleaning up computation data in /tmp/cado.i9zo3xds
16066887234070397536098867445144476483553214963128681531 6585704772547930014699713645776322999288509408650635244447064127463810874991

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)

4868412611579791488276601333302539866412078201677294160005955473079163062123608397164638087314256391205172242954280066826636575166332071650277630096085537635969734708450581323<175>

924303590782183641800798559162076217182170200714223753928851018770960573422363525222444120114407521399961198080625000626480120235354757671312471045091912383679772489747178238897147438477292995203842653<201>

9863850218812673278538508234100914042768369832594771373679066555197221371303228409015272467892050446347204065964932767802019811666540363638005625944492408573778998948582206191300957725460810538653107<199>

43341024777245229378257770422892092936478187570632657927589371997601846165207670032421854448914060845428716450070450947767681351449841248217378593433413704291196167215446304227793501<182>

173865190739897052921383995592398733435828591578630116023722864140587062457420895774406438143873043976190382971400986618975347712934302470371640142427404765556575446418545673976883656843383479003<195>

99168417906995436594397385926245831097732214535027069428778741338421579683692250467356929166366546645121<104>

212035384069513678486949387194864338796551515863453<51>
467697494652515465635540790420249085337008029997711157<54>

99168417906995436594397385926245831097732214535027069428778741338421579683692250467356929166366546645121=212035384069513678486949387194864338796551515863453*467697494652515465635540790420249085337008029997711157

cado polynomial
n: 99168417906995436594397385926245831097732214535027069428778741338421579683692250467356929166366546645121
skew: 8051.212
c0: 34733934830964680045085
c1: 131589341794667714467
c2: -15505066523953005
c3: -3971664104227
c4: 51014460
c5: 9900
Y0: -172933354167524597200
Y1: 2820363545196059
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 3.548e-06
# f(x) = 9900*x^5+51014460*x^4-3971664104227*x^3-15505066523953005*x^2+131589341794667714467*x+34733934830964680045085
# g(x) = 2820363545196059*x-172933354167524597200

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

cado log (extracts)
Info:Square Root: Factors: 467697494652515465635540790420249085337008029997711157 212035384069513678486949387194864338796551515863453
Info:Square Root: Total cpu/real time for sqrt: 120.63/35.1438
Info:Filtering - Singleton removal: Total cpu/real time for purge: 22.43/24.9622
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 4745215
Info:Lattice Sieving: Average J: 1899.25 for 44972 special-q, max bucket fill -bkmult 1.0,1s:1.286480
Info:Lattice Sieving: Total time: 4273.09s
Info:Generate Factor Base: Total cpu/real time for makefb: 1.46/0.396451
Info:Linear Algebra: Total cpu/real time for bwc: 602.3/156.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 355.79, WCT time 91.31, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7168 iterations)
Info:Linear Algebra: Lingen CPU time 31.68, WCT time 8.11
Info:Linear Algebra: Mksol: CPU time 198.55,  WCT time 51.0, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3584 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 63.08/16.6136
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 17.7/18.1987
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 18.0s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 155.74
Info:Polynomial Selection (root optimized): Rootsieve time: 155.09
Info:Filtering - Merging: Merged matrix has 226225 rows and total weight 32862801 (145.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 30.25/9.27044
Info:Filtering - Merging: Total cpu/real time for replay: 7.2/5.73678
Info:Quadratic Characters: Total cpu/real time for characters: 8.64/3.30246
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 9952.64
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 9581/29.990/36.748/42.390/1.090
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 7304/29.430/32.623/37.240/0.867
Info:Polynomial Selection (size optimized): Total time: 512.41
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 44.61/45.9982
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 34.0s
Info:Square Root: Total cpu/real time for sqrt: 120.63/35.1438
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 9313.39/2686.29
Info:root: Cleaning up computation data in /tmp/cado.67dlxrqd
467697494652515465635540790420249085337008029997711157 212035384069513678486949387194864338796551515863453

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)

75003084721392577514478102591661284055800860364282121598641295486216964835478596274967864753344200247310172169503815282667376198175323994192127939645518619952987178101<167>

762036097631837738726832413903259683<36>
98424582450198828184922321982013530083712420900922330365156369210675061270874897438881543997883774594438905699768292784727878631047<131>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3379170201
Step 1 took 8038ms
Step 2 took 4338ms
********** Factor found in step 2: 762036097631837738726832413903259683
Found prime factor of 36 digits: 762036097631837738726832413903259683
Prime cofactor 98424582450198828184922321982013530083712420900922330365156369210675061270874897438881543997883774594438905699768292784727878631047 has 131 digits

4073478736206551137321137749357054326985597924322849023128231323129767166864979478784948200000211963857990855937723512342639460284232649392924667080636392059149952974905922803637222392653818768861142499<202>

313054206172245388097014871665385341104898473369882097846224160362796228518853290127948337325646925405771210846688649498161914683712571524286449355874627766640116148375623374967510276765842178552999815240465690477<213>

9103086962449723543669681743762348049<37>
34389895149150552801684867246873565525236657037066342090163099956997249701245357040846098343006531981249298304621309067496777192740240504326152725250418729508764190284757622173<176>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:686173737
Step 1 took 9640ms
Step 2 took 4328ms
********** Factor found in step 2: 9103086962449723543669681743762348049
Found prime factor of 37 digits: 9103086962449723543669681743762348049
Prime cofactor 34389895149150552801684867246873565525236657037066342090163099956997249701245357040846098343006531981249298304621309067496777192740240504326152725250418729508764190284757622173 has 176 digits

GMP-ECM

6558599170665134869393695765167170494611290956402258562934404716944523542364998067945994308229019724440455844504358462423872426501331668906610466759106478310985817575843367534606175249049139757736277634247693149379201261<220>

1809160405813414771244309567962045883030186482797431117785143649562486502181587869608499202142374738552087888370250220269190712040654247316641996555973<151>

1319883331571929953396248215795427513173658518181786562863<58>
1370697214320279931876603579901444454237337696829829835163687917402465228336316711219234832971<94>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 1809160405813414771244309567962045883030186482797431117785143649562486502181587869608499202142374738552087888370250220269190712040654247316641996555973 (151 digits)
Using B1=50250000, B2=288591693406, polynomial Dickson(12), sigma=1:514509434
Step 1 took 106537ms
Step 2 took 38139ms
********** Factor found in step 2: 1319883331571929953396248215795427513173658518181786562863
Found prime factor of 58 digits: 1319883331571929953396248215795427513173658518181786562863
Prime cofactor 1370697214320279931876603579901444454237337696829829835163687917402465228336316711219234832971 has 94 digits

1471674625141692679609202052266453180967000334507963108143891843472603475034141900846758532823744573336256291714088366572868707716097614505082157897714465883000501096625092099697532968911784755753809041306398010141871531<220>

592174523523524479122577636099236184197066058054430994823686867515744354346930549740560779417567176367833433214786303700982699392763221689888590071580446340404825238082914709348806246464543<189>

740493263020961550397619448503608044173623522146193363827032917489316482433641160329392305339663468807691438476736406583132835902660965335376936960918073511419971431302622894451942551992223645155553084113<204>

81868051840842192390592867076066811385222052879<47>
9044960108010601878045579770207722983621509861965852998071527795872395703306071627184864870795716592398949923073554077238643525474201126397329903019890537247<157>

Resuming ECM residue saved by @a15c56f1befc with GMP-ECM 7.0.5-dev on Wed Aug 24 12:37:20 2022 
Input number is 740493263020961550397619448503608044173623522146193363827032917489316482433641160329392305339663468807691438476736406583132835902660965335376936960918073511419971431302622894451942551992223645155553084113 (204 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2965918469
Step 1 took 0ms
Step 2 took 5357ms
********** Factor found in step 2: 81868051840842192390592867076066811385222052879
Found prime factor of 47 digits: 81868051840842192390592867076066811385222052879
Prime cofactor 9044960108010601878045579770207722983621509861965852998071527795872395703306071627184864870795716592398949923073554077238643525474201126397329903019890537247 has 157 digits

109090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909<231>

156564183909242839706671700435792140004763970833672827983562758279509238258395011290741345357277889797716298034721852730857616287130920922658201507175399117862780240162005297371799208515410323204551875691<204>

6256096806028631919459446772805679808404387<43>
25025856978167466896654216435706543367122915790709989235746633282163698402968531622650372066027752985644475741075886118952653314687213231365732940686367895767193<161>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:920684111
Step 1 took 8735ms
Step 2 took 3843ms
********** Factor found in step 2: 6256096806028631919459446772805679808404387
Found prime factor of 43 digits: 6256096806028631919459446772805679808404387
Prime cofactor 25025856978167466896654216435706543367122915790709989235746633282163698402968531622650372066027752985644475741075886118952653314687213231365732940686367895767193 has 161 digits

GMP-ECM

37347544077267525211602278360083114813635425734009371703990910541622615468692882971563103225145830352533753242244109591262176721560899695142529084971273642863073927997637<170>

2421128878239568255283807833854750263<37>

15425673706565910232864098762238038742073653894257772631148102687113028369751966217015673266554932319097578381507599797842744589763299<134>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3987195735
Step 1 took 10999ms
Step 2 took 4660ms
********** Factor found in step 2: 2421128878239568255283807833854750263
Found prime factor of 37 digits: 2421128878239568255283807833854750263
Composite cofactor 15425673706565910232864098762238038742073653894257772631148102687113028369751966217015673266554932319097578381507599797842744589763299 has 134 digits

15425673706565910232864098762238038742073653894257772631148102687113028369751966217015673266554932319097578381507599797842744589763299<134>

244459320912737187528093481956672376102703488165601402911360261<63>
63101188569824659775550628742756162222896333799549694060827948031093959<71>

15425673706565910232864098762238038742073653894257772631148102687113028369751966217015673266554932319097578381507599797842744589763299=244459320912737187528093481956672376102703488165601402911360261*63101188569824659775550628742756162222896333799549694060827948031093959

cado polynomial
n: 15425673706565910232864098762238038742073653894257772631148102687113028369751966217015673266554932319097578381507599797842744589763299
skew: 61116.008
c0: 233817976657456132756676249664
c1: -4661384313034870638214506
c2: -164862239744899733161
c3: 4100783220870001
c4: 19188457142
c5: 218160
Y0: -41458666917121484069939375
Y1: 57046596545812164257
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.364e-07
# f(x) = 218160*x^5+19188457142*x^4+4100783220870001*x^3-164862239744899733161*x^2-4661384313034870638214506*x+233817976657456132756676249664
# g(x) = 57046596545812164257*x-41458666917121484069939375

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

cado log (extracts)
Info:Square Root: Factors: 244459320912737187528093481956672376102703488165601402911360261 63101188569824659775550628742756162222896333799549694060827948031093959
Info:Square Root: Total cpu/real time for sqrt: 478.94/143.212
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 53395.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 54478/39.090/47.849/54.160/0.986
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 44566/38.090/42.654/48.460/0.992
Info:Polynomial Selection (size optimized): Total time: 11188.7
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 193.63/162.254
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 149.5s
Info:Quadratic Characters: Total cpu/real time for characters: 45.73/19.2256
Info:Square Root: Total cpu/real time for sqrt: 478.94/143.212
Info:Linear Algebra: Total cpu/real time for bwc: 28327.6/7257.18
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 18030.92, WCT time 4605.88, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (41984 iterations)
Info:Linear Algebra: Lingen CPU time 257.27, WCT time 65.29
Info:Linear Algebra: Mksol: CPU time 9807.45,  WCT time 2500.65, iteration CPU time 0.11, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (20992 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 84/95.0277
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 17022678
Info:Lattice Sieving: Average J: 3783 for 622027 special-q, max bucket fill -bkmult 1.0,1s:1.275890
Info:Lattice Sieving: Total time: 220685s
Info:Generate Factor Base: Total cpu/real time for makefb: 15.25/4.06115
Info:Generate Free Relations: Total cpu/real time for freerel: 246.2/62.4264
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 75.68/86.8531
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 86.7s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 6288.25
Info:Polynomial Selection (root optimized): Rootsieve time: 6285.82
Info:Filtering - Merging: Merged matrix has 1339624 rows and total weight 228347918 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 345.31/96.238
Info:Filtering - Merging: Total cpu/real time for replay: 50.21/43.1034
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 462367/113534
Info:root: Cleaning up computation data in /tmp/cado.bnpopvv9
244459320912737187528093481956672376102703488165601402911360261 63101188569824659775550628742756162222896333799549694060827948031093959

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)

2618060204360399635200015713098121026308875276238028998901528335313099009132765863185716005752085990453908556976688528419734383078820104433885122198664500142181618070410582097112766638453865981<193>

322970056671675431161537603633541351101629416407053483146906644788372934818178226838769427774276128403065632082963496422179219456887068876450148850573208889319216119759882509647542450497158024223<195>

109090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909<237>

162593523084029325339582999419478821025538595082942248473197221322935496399713926211676003634100718958234833277444501579026650972413213<135>

11287682142378115087084200626748892106765913198117041879<56>
14404509361013397946915560419614765145466492086336507953328373203926994744783147<80>

Number: 59995_238
N = 162593523084029325339582999419478821025538595082942248473197221322935496399713926211676003634100718958234833277444501579026650972413213 (135 digits)
Divisors found:
r1=11287682142378115087084200626748892106765913198117041879 (pp56)
r2=14404509361013397946915560419614765145466492086336507953328373203926994744783147 (pp80)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 25.89 hours.
Factorization parameters were as follows:
n:  162593523084029325339582999419478821025538595082942248473197221322935496399713926211676003634100718958234833277444501579026650972413213
# norm 5.618859e-13 alpha -6.952626 e 3.918e-11 rroots 5
skew: 5836165.53
c0: -356051999386989019426982461269718765
c1: 409011766053662412478851721471
c2: 26725132110665615042448
c3: -41525694953099605
c4: -1559261561
c5: 252
Y0: -230112714394872866382630618
Y1: 32207404872197
type: gnfs
Factor base limits: 9300000/9300000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 22446559
Relations: 3246556 relations
Pruned matrix : 1889240 x 1889469
Polynomial selection time: 0.34 hours.
Total sieving time: 23.37 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 1.85 hours.
time per square root: 0.12 hours.
Prototype def-par.txt line would be: gnfs,134,5,65,2000,1e-05,0.28,250,20,50000,3600,9300000,9300000,28,28,55,55,2.5,2.5,100000
total time: 25.89 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
processors: 8, speed: 2.19GHz
Windows-7-6.1.7601-SP1
Running Python 3.2

159090776451819899811907751235976346918196372730867581819995076923381856372802650649118832628486127231170521965792438394490238189106776814240374596541344460101654941947<168>

14507706730942621043536920341355047550563<41>
10965949298692720764738057191998046537625432564894774987342590852708949922303702504769970025018717480900114475261851802447493769<128>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3657380813
Step 1 took 10225ms
Step 2 took 5065ms
********** Factor found in step 2: 14507706730942621043536920341355047550563
Found prime factor of 41 digits: 14507706730942621043536920341355047550563
Prime cofactor 10965949298692720764738057191998046537625432564894774987342590852708949922303702504769970025018717480900114475261851802447493769 has 128 digits

9909738350018041546988369195046508600235355974440885039352959012595030346109637925536140196783866424504219205177119665386920066830002844869492532685516525553031794451101977848905041208032306452648207<199>

24193904569423097563739103986009483<35>

409596488304836640883523872430381997143409524481268784885581708723511341281110538446049735447016955245655835633455953470111597866471461736699817151410533194383260429<165>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1809245695
Step 1 took 10575ms
Step 2 took 4883ms
********** Factor found in step 2: 24193904569423097563739103986009483
Found prime factor of 35 digits: 24193904569423097563739103986009483
Composite cofactor 409596488304836640883523872430381997143409524481268784885581708723511341281110538446049735447016955245655835633455953470111597866471461736699817151410533194383260429 has 165 digits

409596488304836640883523872430381997143409524481268784885581708723511341281110538446049735447016955245655835633455953470111597866471461736699817151410533194383260429<165>

4233923033059756301064663416256709889151368552147302523653532709188508354203<76>
96741599955073089943704533101150239563678126666296843527478549141012262582362918543149943<89>

Number: 59995_240
N = 409596488304836640883523872430381997143409524481268784885581708723511341281110538446049735447016955245655835633455953470111597866471461736699817151410533194383260429 (165 digits)
SNFS difficulty: 241 digits.
Divisors found:
r1=4233923033059756301064663416256709889151368552147302523653532709188508354203 (pp76)
r2=96741599955073089943704533101150239563678126666296843527478549141012262582362918543149943 (pp89)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 81.03 hours.
Factorization parameters were as follows:
n: 409596488304836640883523872430381997143409524481268784885581708723511341281110538446049735447016955245655835633455953470111597866471461736699817151410533194383260429 
m: 1000000000000000000000000000000000000000000000000000000000000
deg: 4
c4: 6
c0: -5
skew: 1.00
type: snfs
lss: 1
rlim: 500000000
alim: 150000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 8
Number of threads per core: 1
Factor base limits: 500000000/150000000
Large primes per side: 3
Large prime bits: 29/29
Total raw relations: 65647808
Relations: 13289604 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 20.21 hours.
Total relation processing time: 0.70 hours.
Pruned matrix : 10768853 x 10769078
Matrix solve time: 59.90 hours.
time per square root: 0.22 hours.
Prototype def-par.txt line would be: snfs,241,4,0,0,0,0,0,0,0,0,500000000,150000000,29,29,58,58,2.8,2.8,100000
total time: 81.03 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 16, speed: 3.79GHz

GGNFS, NFS_Factory, Msieve

517360126279669765786335964652935713257110628870615938516428756159020693736537216926636569353082745844960963715241956351263313979212211022940713223863526121850193<162>

204538877623075805607709302977818658123<39>

2529397502772362336986519078325396358072071726193545265990911735213229593045459666157653678092392320691617328832979897707091<124>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:163857598
Step 1 took 26360ms
Step 2 took 11812ms
********** Factor found in step 2: 204538877623075805607709302977818658123
Found prime factor of 39 digits: 204538877623075805607709302977818658123
Composite cofactor 2529397502772362336986519078325396358072071726193545265990911735213229593045459666157653678092392320691617328832979897707091 has 124 digits
 

GMP-ECM

2529397502772362336986519078325396358072071726193545265990911735213229593045459666157653678092392320691617328832979897707091<124>

48762484804608630265207200748303656063518403384067962519923773<62>
51871792688737314372680423627872289672133426427111391693769167<62>

2529397502772362336986519078325396358072071726193545265990911735213229593045459666157653678092392320691617328832979897707091=48762484804608630265207200748303656063518403384067962519923773*51871792688737314372680423627872289672133426427111391693769167

cado polynomial
n: 2529397502772362336986519078325396358072071726193545265990911735213229593045459666157653678092392320691617328832979897707091
skew: 149029.323
c0: -847431614460988550752050345991
c1: 47421073209373005493444469
c2: -211378908052797798413
c3: 102082511282371
c4: 14527313724
c5: 30240
Y0: -897784599442145391278532
Y1: 7210813652231401
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 3.082e-07
# f(x) = 30240*x^5+14527313724*x^4+102082511282371*x^3-211378908052797798413*x^2+47421073209373005493444469*x-847431614460988550752050345991
# g(x) = 7210813652231401*x-897784599442145391278532

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

cado log (extracts)
Info:Square Root: Factors: 51871792688737314372680423627872289672133426427111391693769167 48762484804608630265207200748303656063518403384067962519923773
Info:Square Root: Total cpu/real time for sqrt: 225.11/68.1172
Info:Filtering - Singleton removal: Total cpu/real time for purge: 60.83/66.0067
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11629875
Info:Lattice Sieving: Average J: 3829.3 for 150429 special-q, max bucket fill -bkmult 1.0,1s:1.159510
Info:Lattice Sieving: Total time: 46955.3s
Info:Generate Factor Base: Total cpu/real time for makefb: 8.22/2.19258
Info:Linear Algebra: Total cpu/real time for bwc: 6377.63/1650.72
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 3981.21, WCT time 1019.68, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (20736 iterations)
Info:Linear Algebra: Lingen CPU time 114.11, WCT time 29.01
Info:Linear Algebra: Mksol: CPU time 2182.87,  WCT time 566.24, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (10496 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 127.99/33.5086
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 49.12/55.728
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 55.7s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2760.57
Info:Polynomial Selection (root optimized): Rootsieve time: 2758.13
Info:Filtering - Merging: Merged matrix has 662115 rows and total weight 113131969 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 130.12/37.9768
Info:Filtering - Merging: Total cpu/real time for replay: 24.02/19.6826
Info:Quadratic Characters: Total cpu/real time for characters: 24.22/9.58637
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19925.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20179/36.560/43.935/47.760/0.891
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15871/35.360/39.323/44.700/0.902
Info:Polynomial Selection (size optimized): Total time: 1996.91
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 126.28/110.285
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 98.5s
Info:Square Root: Total cpu/real time for sqrt: 225.11/68.1172
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 99454/27073.7
Info:root: Cleaning up computation data in /tmp/cado.fbrafrwi
51871792688737314372680423627872289672133426427111391693769167 48762484804608630265207200748303656063518403384067962519923773

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)

3054140735565463694172520874809449463575321743942980072279307902483520848910335769059319853416609973836048669189557417675746005922972136483232378310897119106177905557877310375700762519017489664682039<199>

139512707689370770948385297360291683868389757116514154087367740499853104744862066692422262647321059547860241284902736971925509049898696335129055648945103725954258201051065487613771159863310099429544164317137031822964884535213995635809982297<240>

30904678534496170365039570493289564771370079670497300664848515270874456420527732158582248709120229392944709629686743801880443862932526735383595377909843053974307990490012586702107<179>

17142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857<248>

282232025924917563548624816774366142850348172067012862312632894067860389749102207949339037718556454598055496551400454504991149059958549171511155334401562398919<159>

309318911890727418850123895534844483983<39>

912430553307458954299375268030582921936984782974218380789776889441429621063481501949136246424904667444757821258174859593<120>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2449918541
Step 1 took 26203ms
Step 2 took 3109ms
********** Factor found in step 2: 309318911890727418850123895534844483983
Found prime factor of 39 digits: 309318911890727418850123895534844483983
Composite cofactor 912430553307458954299375268030582921936984782974218380789776889441429621063481501949136246424904667444757821258174859593 has 120 digits
 

GMP-ECM

912430553307458954299375268030582921936984782974218380789776889441429621063481501949136246424904667444757821258174859593<120>

13834168196047928663171853668201823559123538603265901319<56>
65954854703018374830504030655497461195381851566942808463594630447<65>

912430553307458954299375268030582921936984782974218380789776889441429621063481501949136246424904667444757821258174859593=13834168196047928663171853668201823559123538603265901319*65954854703018374830504030655497461195381851566942808463594630447

cado polynomial
n: 912430553307458954299375268030582921936984782974218380789776889441429621063481501949136246424904667444757821258174859593
skew: 30968.117
c0: -325486518011972224133632560
c1: 95708920856038079385609
c2: -2021937679807785684
c3: -193688195214103
c4: -3000675875
c5: 29700
Y0: -172791516819638150497475
Y1: 4705736761644691
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.462e-06
# f(x) = 29700*x^5-3000675875*x^4-193688195214103*x^3-2021937679807785684*x^2+95708920856038079385609*x-325486518011972224133632560
# g(x) = 4705736761644691*x-172791516819638150497475

cado parameters (extracts)
tasks.lim0 = 3000000
tasks.lim1 = 5500000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 13834168196047928663171853668201823559123538603265901319 65954854703018374830504030655497461195381851566942808463594630447
Info:Square Root: Total cpu/real time for sqrt: 177.66/53.9805
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 129.94/112.569
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 99.7s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 50.38/56.1493
Info:Linear Algebra: Total cpu/real time for bwc: 4256.65/1106.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 2587.09, WCT time 669.69, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (21248 iterations)
Info:Linear Algebra: Lingen CPU time 114.38, WCT time 29.08
Info:Linear Algebra: Mksol: CPU time 1489.66,  WCT time 384.9, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (10752 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13427178
Info:Lattice Sieving: Average J: 1895.07 for 247882 special-q, max bucket fill -bkmult 1.0,1s:1.268070
Info:Lattice Sieving: Total time: 30273.1s
Info:Generate Factor Base: Total cpu/real time for makefb: 5.19/1.38178
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2062.81
Info:Polynomial Selection (root optimized): Rootsieve time: 2060.38
Info:Generate Free Relations: Total cpu/real time for freerel: 126.72/33.0176
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 53.92/58.5981
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 58.4s
Info:Filtering - Merging: Merged matrix has 673315 rows and total weight 67457414 (100.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 48.81/16.3209
Info:Filtering - Merging: Total cpu/real time for replay: 16.22/12.8147
Info:Quadratic Characters: Total cpu/real time for characters: 20.86/7.99885
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19893.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20057/35.490/42.875/47.680/1.040
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16026/33.200/37.971/43.250/0.860
Info:Polynomial Selection (size optimized): Total time: 2240.03
Info:Square Root: Total cpu/real time for sqrt: 177.66/53.9805
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 65245.9/18029.3
Info:root: Cleaning up computation data in /tmp/cado.7nuv5xo0
13834168196047928663171853668201823559123538603265901319 65954854703018374830504030655497461195381851566942808463594630447

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)

6390938804013138179366078928726368929750214140208115992857982876518882833367403089466849744146643300299972796830269450003228810317917605981416410540088763990233658789804130677478655446462445173<193>

71510906624614288284520882906360199393659369291451449456405641345695432524642020813375567662183508910504041089615802574364994594643355076694364871339944328380774212685998114743106146873079485674536156808037981164225674089064079<227>

14166204845533771587607077916056650348906913292053762744133384884545465500226887939286594214281547601979338949778138066911248374273964471442047202038215316492833582917812138282320571529928803709783906872978597623812982780507605230269339249<239>

14036485152313370768770709993879453542762772175047327078357127354317220955526389263907870405598663427821464095109462141734431588062504784616233299878828418493915852850058706354589775515007<188>

3847876953912368502215256341655105325480510025545971080172049244807193678105469884183420090952663775147226753046979935306221824544728531262882396932545713497006645444960208849086179800208807172026046054247029608260104878763721517<229>

2271275716762992006088018282240194292798567724447906390188992871319146204518184051998692252438721260339374661126846015064073416670843132618344948981194766395516535047153699637198341201792662655531921690933124688393984177244784739758770948054010807839<250>

19044583921853222750653949877538640866147315136718118053525492424871225657872388186849892080934850230788644707529977689455313759872818811214444464805840438536789580783691886008980906529536518533114345770553641964173615548212400885312743084169<242>

966406891125404984887812240026479548816836096585926055376725539637581309046454373917322279786069727867872849845334630466138310543579716085762168874772189708894084220749883427168757998023697907648546805904423969145849322669570182481781216754596271441146223<255>

1200360108032409722916875062518755626688006401920576172851855556667000100030009002700810243072921876562968890667200160048014404321296388916675002500750225067520256076823046914074222266680004001200360108032409722916875062518755626688006401920576172851855556667<259>

551850774086591731054943377443322968052120670699375280061476978624271840743897646134856981232601790499365603090505744806270802750126639406600547791362551664632714261869233566771515744111306314028998221154276896590204744738769377203952939677891461222211<252>

1151653926269059371209413950190845065272650940708929945529274599724144314705641530317213277995251001195306015931809030388524726383421872148359475292250763605373242983280545233872528518283733<190>

133762435679322376362194356094350813399855981040911156002420030204886725716519619672497207277774826740018895056691577378790629018391363825928974114462202844266025589743479756153097988622659900857045335652928640891064117549972630368774600895302458973<249>

3779324107937228196173261543026837609<37>
35393216315689448774198683524534026314036902294797788634146273875676302277188781714737636126128366525659437658594273427158398297291170456240181876192105122789737353886672366144646713621058413443624917757015050197<212>

Resuming ECM residue saved by @ab3558ab9a40 with GMP-ECM 7.0.5-dev on Tue Aug 23 10:09:51 2022 
Input number is 133762435679322376362194356094350813399855981040911156002420030204886725716519619672497207277774826740018895056691577378790629018391363825928974114462202844266025589743479756153097988622659900857045335652928640891064117549972630368774600895302458973 (249 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:594888029
Step 1 took 0ms
Step 2 took 10276ms
********** Factor found in step 2: 3779324107937228196173261543026837609
Found prime factor of 37 digits: 3779324107937228196173261543026837609
Prime cofactor 35393216315689448774198683524534026314036902294797788634146273875676302277188781714737636126128366525659437658594273427158398297291170456240181876192105122789737353886672366144646713621058413443624917757015050197 has 212 digits

2213296577279882992335571648100986682291856588194365316554094780743157577610720715248624951314236097123905843498489496471968202799493022739856827437774061019032987433650688573017991292799886066138231767661197677547785891586154939257801871<238>

60962153785577786008910360481966584621598690927158613602559544796410511807812908613123752628605518317529496118994344535913132466660471218448891253114105570976129918152872750815941597118713212483551458374998213681889595517582884741207960708306869196691894821041<260>

135953332544343196639146579204823656210738723645018920388946681754240987579652901390996117955450984075993659672048847289864094248600190148126326476194531897702933267113030805651812113680739007923061316171900614458585934507940820123261491<237>

1199999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<271>

313274743563810526361114670633433339<36>
3830503494628425274824847157966862274643737605650580395729932814489297032217284475160219004694980910937769347790864022289104915420896487529914923633192893805116897786277571096586577515660614431744040831396584469119171143250992130452941<235>

Resuming ECM residue saved by @c1752f073200 with GMP-ECM 7.0.5-dev on Sun May 29 14:39:01 2022 
Input number is 1199999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 (271 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2776629084
Step 1 took 0ms
Step 2 took 12288ms
********** Factor found in step 2: 313274743563810526361114670633433339
Found prime factor of 36 digits: 313274743563810526361114670633433339
Prime cofactor 3830503494628425274824847157966862274643737605650580395729932814489297032217284475160219004694980910937769347790864022289104915420896487529914923633192893805116897786277571096586577515660614431744040831396584469119171143250992130452941 has 235 digits

84357200147338674301722253041300204574628540733428075749387774753387991854889500127707161106634776089176410479680702770835690253434085103600583832802271204541582709482687324870030168831065471653685240671351832640796103741887645981<230>

6621765058679705564084117029579134428631299094662497519436456013448585433029537746410485033330975302562766477549529311224298168738164751352310117609030701957773139856620469573804556692037682294555085471113708988711243125645712832095591012838509250550136558368019<262>

42185157581953588742401295180857406522684202762376215696181992528926260870138654300035036942391998127564252114114295958535407938406912145979436190152722455277896558691987691648806009100179170309401456836947524321738440292635427531932613018254535297175088524281479<263>

1886065909286582788496514989974267535722012255753448688066627932414580932060614632031232663952296967383310707607682716038424967830143617983519418843958778452059795836674006157985037078966705763760174071262588157697351319601751827610547557812983<244>

181954720511213213478911686029393617975305869723964901844829458053676320051167537526382265400350264264415412144958641604037076437488708567357989685987638398594369972325049624141754447768602191660312437458021431298702704523048367347723579886216657569<249>

122911352604887626594695716526223229582228990752638440396947491140788657272404328190202307919354425748848005326992994078188695915053130879091696367045529936488251931403072735837560563860417607094420090157811675988401200184558217873045386119333214168493<252>

35104550179895457050783093392896532382161<41>

3501294048065585046632154121077130663085768376791448417785217265970216328913558829860186050198596382099560561868140704954549762348760446546487362714741385094395102148169706235609252732826049639941262201280176413<211>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:535838801
Step 1 took 12453ms
Step 2 took 5109ms
********** Factor found in step 2: 35104550179895457050783093392896532382161
Found prime factor of 41 digits: 35104550179895457050783093392896532382161
Composite cofactor 3501294048065585046632154121077130663085768376791448417785217265970216328913558829860186050198596382099560561868140704954549762348760446546487362714741385094395102148169706235609252732826049639941262201280176413 has 211 digits
 

GMP-ECM

30866031939232846381330296293307501028352294812795747023086766651436711717735004649613611118634365303965825202178783805588706997357241332800890710598695942021746100257983502040488263640829170549276618000315972866321728937271466426394501373<239>

1454066374481476231135997254513591824101675432947173115163246526591356019644495100072688856812200322117620812020961760429347550283745213587669817826942955978222494993577212113852206837226260202741652256146788452040409707317445797969294422125102566264698061964885603<265>

377482103586523788249214460663406270432366183000635623922706181891175079871230125143071928306571770706241615762610908562958509023374035456438835236462109324263274081124913094388732311119424146818440539118269899660567542108110569830503643931318944586239403631154992717<267>

117150717577287553091428374315468334891873890023952466413573433840474605230473717964774338846800160833619521625526933962537060143038682636932828745865913632874959443361476796465617768810336222843982424054156490146789240305197421433381633355431062061392213<255>

29352466262695334540248361336847754380312829529874490831384659586503834235940055877395963653945128764687445432656683230853841781138666715990280946061474783628384469156016776322221343674274412425780505782708782109<212>

331683865843012080085413806272376654757906307689430332525371498005881913731413829199026807966099099066871579307203758136965985759729579261147430324116494036471590763831638994237183262042068867631792703453837779896516011479729<225>

48582995951417004048582995951417004048582995951417004048582995951417004048582995951417004048582995951417004048582995951417004048582995951417004048582995951417004048582995951417004048582995951417004048582995951417004048582995951417004048582995951417004048582995951417004048582995951417<284>

24571040964009382934877040974820737308413017332694603534503097901930405922600436414428012299605205299942845248120580766263407193500238734065414929007610825759196819744420535091401766253089077739955259149497300738802414914977530468123<233>

28030578529248506008127170502900584667665391<44>

876579872883134797102076272761895357324812486345982181216286135269948384065026257245937288690047104090977968521052014897799777605118894937373424871890771859141257551538666974492806832706453<189>

Resuming ECM residue saved by @ab3558ab9a40 with GMP-ECM 7.0.5-dev on Tue Aug 23 10:44:06 2022 
Input number is 24571040964009382934877040974820737308413017332694603534503097901930405922600436414428012299605205299942845248120580766263407193500238734065414929007610825759196819744420535091401766253089077739955259149497300738802414914977530468123 (233 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:4130074844
Step 1 took 0ms
Step 2 took 9412ms
********** Factor found in step 2: 28030578529248506008127170502900584667665391
Found prime factor of 44 digits: 28030578529248506008127170502900584667665391
Composite cofactor 876579872883134797102076272761895357324812486345982181216286135269948384065026257245937288690047104090977968521052014897799777605118894937373424871890771859141257551538666974492806832706453 has 189 digits

3448585141817621242118704678979777919545036602537182990094682002494609546114888810186186271120937427141931201388106517258669748935707084694153365572751464522494473375167026161533232597210693075665007448754650847299883437319000515791795154869362825765186783002554318961384181777<277>

1817366707053972051403944739467113188508997875192171640911195101496313421612168413718328747855297974012591235904979819548481647023118670141379613857661551289972120649664415437902894634661116158477692772890117033248680019595206503791843158919611<244>

58179700936673357546123556413771913391151738950746804929741861372545523048248811167506560824374705272755343167446562135655382285059226799677658901741927994595234961687085817497391109878625547369087824468172995224098015666902084778885996782065819296541939<254>

1072724613348293805144434876574132594097459342955003911884926223578407989319365288827421731456642307617532441982850171390950357569231422244072331107223400484307995706232572879755031818401531606437221335391275311222850512559530343781882168659304335563114304893<259>

408072387071991274520070386016918537383<39>

2628760600650604617105474674011698569293617181907090206808673761115705662336523075742047294843660498787301376529783666525289005629815861713230498839449036649596176046944806982523433259176892179314653326506187933107782971<220>

Resuming ECM residue saved by @f7abe56ba3c6 with GMP-ECM 7.0.5-dev on Thu Jun 16 17:09:15 2022 
Input number is 1072724613348293805144434876574132594097459342955003911884926223578407989319365288827421731456642307617532441982850171390950357569231422244072331107223400484307995706232572879755031818401531606437221335391275311222850512559530343781882168659304335563114304893 (259 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:4236669605
Step 1 took 0ms
Step 2 took 6725ms
********** Factor found in step 2: 408072387071991274520070386016918537383
Found prime factor of 39 digits: 408072387071991274520070386016918537383
Composite cofactor 2628760600650604617105474674011698569293617181907090206808673761115705662336523075742047294843660498787301376529783666525289005629815861713230498839449036649596176046944806982523433259176892179314653326506187933107782971 has 220 digits

131527336688339260784671623961479774798685813613915249041990049725353530072149598285569325130379124475265786389647213986090103253365750005214100202415836080587839617966935509751042172174883363511107116220738104036432759940486821840712165771785071168592328907695232653759173645190651<282>

41483015235853981774607273198068277786549820139535822427670871623875898761028558941229356337471236483510622391271258849308392010139708618920919715602817276518896826324365681020299527165357472894704193966599364754372611597773510584685627035592681788060800709<257>

716241310580075708992368834802615657<36>

57917652365314363835875364074062285353502691669423386109321113032399442959035632562326331595804902552608563424731012309331964229972987477042624125135452191836588834486979855539341504222032734366616192533784700067505770237<221>

Resuming ECM residue saved by @f7abe56ba3c6 with GMP-ECM 7.0.5-dev on Thu Jun 16 17:13:43 2022 
Input number is 41483015235853981774607273198068277786549820139535822427670871623875898761028558941229356337471236483510622391271258849308392010139708618920919715602817276518896826324365681020299527165357472894704193966599364754372611597773510584685627035592681788060800709 (257 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3288577045
Step 1 took 0ms
Step 2 took 6496ms
********** Factor found in step 2: 716241310580075708992368834802615657
Found prime factor of 36 digits: 716241310580075708992368834802615657
Composite cofactor 57917652365314363835875364074062285353502691669423386109321113032399442959035632562326331595804902552608563424731012309331964229972987477042624125135452191836588834486979855539341504222032734366616192533784700067505770237 has 221 digits

762699204474907485507663576712880509918224833367247931402801515334717988160549870684867705543545892047695794493327155587232872555612203840906917519617139069159135663811997349667150599564661036812948465461370440964872370957918567999753520243606202265644585336259<261>

9893072376068657922289916485980692020412706002621664179658194349406827868784883385409367090694741007609421502592809385227994097133482279034106367016496698187094487085418435740372803944038187259371625019580039077635885471198793045170119623733480630188710355573509649867680156970081700289372367<292>

213329540808163410428259053172388046434730049243569003217720573856464773959574052016853033723844909423832465200618655668343673890241951254199925334660717142806350109331389664183747844482764750848873797799150237329114149081794101438196654281701658637179783470516079714138415317061030026132868749<294>

220346019619439934165610743797550536487806440683398561002649126578165515666103367099916500391565224655147939632986051573180873288576510798257804745273136450775540279387428477166520233529297024081039477567364219403620470211164154850883650565532737555994137159<258>