32570929267267681621244673198164557657007581787924559345484555003081174590808413595931843530081453481941<104>

397018446346464820404175480421344167890233<42>
82038831109736681440341111099296617915867452230831935640798077<62>

11/21/21 00:56:30 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 00:59:14 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 01:02:00 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 01:04:51 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve filtering
11/21/21 01:05:05 v1.34.5 @ DESKTOP-RJPVCOL, nfs: raising min_rels by 5.00 percent to 2142537
11/21/21 01:05:05 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 01:07:49 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve filtering
11/21/21 01:08:10 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve linear algebra
11/21/21 01:08:50 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve sqrt
11/21/21 01:09:09 v1.34.5 @ DESKTOP-RJPVCOL, prp62 = 82038831109736681440341111099296617915867452230831935640798077
11/21/21 01:09:09 v1.34.5 @ DESKTOP-RJPVCOL, prp42 = 397018446346464820404175480421344167890233
11/21/21 01:09:09 v1.34.5 @ DESKTOP-RJPVCOL, NFS elapsed time = 759.6397 seconds.

163225989985180123325389560906763592476211012276475535383612405581120060848270410118158830930999<96>

3158670154450108833170537375176137937968617<43>
51675541289177770137078335811748229980199533868918047<53>

11/21/21 01:22:21 v1.34.5 @ DESKTOP-RJPVCOL, starting SIQS on c96: 163225989985180123325389560906763592476211012276475535383612405581120060848270410118158830930999
11/21/21 01:22:21 v1.34.5 @ DESKTOP-RJPVCOL, random seeds: 0, 568776568
11/21/21 01:22:21 v1.34.5 @ DESKTOP-RJPVCOL, ==== sieve params ====
11/21/21 01:22:21 v1.34.5 @ DESKTOP-RJPVCOL, n = 97 digits, 321 bits
11/21/21 01:22:21 v1.34.5 @ DESKTOP-RJPVCOL, factor base: 95664 primes (max prime = 2623531)
11/21/21 01:22:21 v1.34.5 @ DESKTOP-RJPVCOL, single large prime cutoff: 341059030 (130 * pmax)
11/21/21 01:22:21 v1.34.5 @ DESKTOP-RJPVCOL, double large prime range from 32 to 32 bits
11/21/21 01:22:21 v1.34.5 @ DESKTOP-RJPVCOL, double large prime cutoff: 2286089319202710
11/21/21 01:22:21 v1.34.5 @ DESKTOP-RJPVCOL, allocating 9 large prime slices of factor base
11/21/21 01:22:21 v1.34.5 @ DESKTOP-RJPVCOL, buckets hold 2048 elements
11/21/21 01:22:21 v1.34.5 @ DESKTOP-RJPVCOL, using SSE4.1 enabled 32k sieve core
11/21/21 01:22:21 v1.34.5 @ DESKTOP-RJPVCOL, sieve interval: 18 blocks of size 32768
11/21/21 01:22:21 v1.34.5 @ DESKTOP-RJPVCOL, polynomial A has ~ 12 factors
11/21/21 01:22:21 v1.34.5 @ DESKTOP-RJPVCOL, using multiplier of 15
11/21/21 01:22:21 v1.34.5 @ DESKTOP-RJPVCOL, using SPV correction of 21 bits, starting at offset 36
11/21/21 01:22:21 v1.34.5 @ DESKTOP-RJPVCOL, trial factoring cutoff at 98 bits
11/21/21 01:22:21 v1.34.5 @ DESKTOP-RJPVCOL, ==== sieving started (64 threads) ====
11/21/21 01:29:29 v1.34.5 @ DESKTOP-RJPVCOL, trial division touched 101535755 sieve locations out of 1396256145408
11/21/21 01:29:29 v1.34.5 @ DESKTOP-RJPVCOL, squfof: 0 failures, 1057953 attempts, 28630551 outside range, 5292745 prp, 986860 useful
11/21/21 01:29:29 v1.34.5 @ DESKTOP-RJPVCOL, 110312 relations found: 27559 full + 82753 from 1355821 partial, using 1183621 polys (1146 A polys)
11/21/21 01:29:29 v1.34.5 @ DESKTOP-RJPVCOL, on average, sieving found 1.17 rels/poly and 3236.31 rels/sec
11/21/21 01:29:29 v1.34.5 @ DESKTOP-RJPVCOL, trial division touched 101535755 sieve locations out of 1396256145408
11/21/21 01:29:29 v1.34.5 @ DESKTOP-RJPVCOL, ==== post processing stage (msieve-1.38) ====
11/21/21 01:29:29 v1.34.5 @ DESKTOP-RJPVCOL, begin with 1383380 relations
11/21/21 01:29:29 v1.34.5 @ DESKTOP-RJPVCOL, reduce to 275401 relations in 9 passes
11/21/21 01:29:30 v1.34.5 @ DESKTOP-RJPVCOL, failed to read relation 257457
11/21/21 01:29:30 v1.34.5 @ DESKTOP-RJPVCOL, recovered 275400 relations
11/21/21 01:29:30 v1.34.5 @ DESKTOP-RJPVCOL, recovered 246001 polynomials
11/21/21 01:29:30 v1.34.5 @ DESKTOP-RJPVCOL, attempting to build 110311 cycles
11/21/21 01:29:30 v1.34.5 @ DESKTOP-RJPVCOL, found 110311 cycles in 5 passes
11/21/21 01:29:30 v1.34.5 @ DESKTOP-RJPVCOL, distribution of cycle lengths:
11/21/21 01:29:30 v1.34.5 @ DESKTOP-RJPVCOL,    length 1 : 27559
11/21/21 01:29:30 v1.34.5 @ DESKTOP-RJPVCOL,    length 2 : 20349
11/21/21 01:29:30 v1.34.5 @ DESKTOP-RJPVCOL,    length 3 : 19073
11/21/21 01:29:30 v1.34.5 @ DESKTOP-RJPVCOL,    length 4 : 15146
11/21/21 01:29:30 v1.34.5 @ DESKTOP-RJPVCOL,    length 5 : 11035
11/21/21 01:29:30 v1.34.5 @ DESKTOP-RJPVCOL,    length 6 : 7142
11/21/21 01:29:30 v1.34.5 @ DESKTOP-RJPVCOL,    length 7 : 4460
11/21/21 01:29:30 v1.34.5 @ DESKTOP-RJPVCOL,    length 9+: 5547
11/21/21 01:29:30 v1.34.5 @ DESKTOP-RJPVCOL, largest cycle: 17 relations
11/21/21 01:29:31 v1.34.5 @ DESKTOP-RJPVCOL, matrix is 95664 x 110311 (32.1 MB) with weight 7537827 (68.33/col)
11/21/21 01:29:31 v1.34.5 @ DESKTOP-RJPVCOL, sparse part has weight 7537827 (68.33/col)
11/21/21 01:29:31 v1.34.5 @ DESKTOP-RJPVCOL, filtering completed in 4 passes
11/21/21 01:29:31 v1.34.5 @ DESKTOP-RJPVCOL, matrix is 86947 x 87011 (22.2 MB) with weight 5131336 (58.97/col)
11/21/21 01:29:31 v1.34.5 @ DESKTOP-RJPVCOL, sparse part has weight 5131336 (58.97/col)
11/21/21 01:29:31 v1.34.5 @ DESKTOP-RJPVCOL, saving the first 48 matrix rows for later
11/21/21 01:29:31 v1.34.5 @ DESKTOP-RJPVCOL, matrix is 86899 x 87011 (19.1 MB) with weight 4444179 (51.08/col)
11/21/21 01:29:31 v1.34.5 @ DESKTOP-RJPVCOL, sparse part has weight 4145866 (47.65/col)
11/21/21 01:29:31 v1.34.5 @ DESKTOP-RJPVCOL, matrix includes 64 packed rows
11/21/21 01:29:31 v1.34.5 @ DESKTOP-RJPVCOL, using block size 34804 for processor cache size 12288 kB
11/21/21 01:29:31 v1.34.5 @ DESKTOP-RJPVCOL, commencing Lanczos iteration
11/21/21 01:29:31 v1.34.5 @ DESKTOP-RJPVCOL, memory use: 15.2 MB
11/21/21 01:29:43 v1.34.5 @ DESKTOP-RJPVCOL, lanczos halted after 1376 iterations (dim = 86893)
11/21/21 01:29:43 v1.34.5 @ DESKTOP-RJPVCOL, recovered 16 nontrivial dependencies
11/21/21 01:29:43 v1.34.5 @ DESKTOP-RJPVCOL, prp43 = 3158670154450108833170537375176137937968617
11/21/21 01:29:43 v1.34.5 @ DESKTOP-RJPVCOL, prp53 = 51675541289177770137078335811748229980199533868918047
11/21/21 01:29:43 v1.34.5 @ DESKTOP-RJPVCOL, Lanczos elapsed time = 14.7550 seconds.
11/21/21 01:29:43 v1.34.5 @ DESKTOP-RJPVCOL, Sqrt elapsed time = 0.0870 seconds.
11/21/21 01:29:43 v1.34.5 @ DESKTOP-RJPVCOL, SIQS elapsed time = 442.2944 seconds.

1194500780769235152827756332877511468869226085198171535849204140552451176550067581964378778427<94>

1524393267197589532394891672472319806060481<43>
783590958103074448850412497124004929593102250230267<51>

11/21/21 01:16:01 v1.34.5 @ DESKTOP-RJPVCOL, starting SIQS on c94: 1194500780769235152827756332877511468869226085198171535849204140552451176550067581964378778427
11/21/21 01:16:01 v1.34.5 @ DESKTOP-RJPVCOL, random seeds: 0, 3922851124
11/21/21 01:16:01 v1.34.5 @ DESKTOP-RJPVCOL, ==== sieve params ====
11/21/21 01:16:01 v1.34.5 @ DESKTOP-RJPVCOL, n = 94 digits, 311 bits
11/21/21 01:16:01 v1.34.5 @ DESKTOP-RJPVCOL, factor base: 86096 primes (max prime = 2327473)
11/21/21 01:16:01 v1.34.5 @ DESKTOP-RJPVCOL, single large prime cutoff: 279296760 (120 * pmax)
11/21/21 01:16:01 v1.34.5 @ DESKTOP-RJPVCOL, double large prime range from 31 to 32 bits
11/21/21 01:16:01 v1.34.5 @ DESKTOP-RJPVCOL, double large prime cutoff: 1595580117022719
11/21/21 01:16:01 v1.34.5 @ DESKTOP-RJPVCOL, allocating 9 large prime slices of factor base
11/21/21 01:16:01 v1.34.5 @ DESKTOP-RJPVCOL, buckets hold 2048 elements
11/21/21 01:16:01 v1.34.5 @ DESKTOP-RJPVCOL, using SSE4.1 enabled 32k sieve core
11/21/21 01:16:01 v1.34.5 @ DESKTOP-RJPVCOL, sieve interval: 16 blocks of size 32768
11/21/21 01:16:01 v1.34.5 @ DESKTOP-RJPVCOL, polynomial A has ~ 12 factors
11/21/21 01:16:01 v1.34.5 @ DESKTOP-RJPVCOL, using multiplier of 3
11/21/21 01:16:01 v1.34.5 @ DESKTOP-RJPVCOL, using SPV correction of 22 bits, starting at offset 40
11/21/21 01:16:01 v1.34.5 @ DESKTOP-RJPVCOL, trial factoring cutoff at 97 bits
11/21/21 01:16:01 v1.34.5 @ DESKTOP-RJPVCOL, ==== sieving started (64 threads) ====
11/21/21 01:19:19 v1.34.5 @ DESKTOP-RJPVCOL, trial division touched 49362275 sieve locations out of 654340784128
11/21/21 01:19:19 v1.34.5 @ DESKTOP-RJPVCOL, squfof: 0 failures, 845193 attempts, 12749661 outside range, 4364002 prp, 793362 useful
11/21/21 01:19:19 v1.34.5 @ DESKTOP-RJPVCOL, 111490 relations found: 29264 full + 82226 from 1156345 partial, using 624028 polys (611 A polys)
11/21/21 01:19:19 v1.34.5 @ DESKTOP-RJPVCOL, on average, sieving found 1.90 rels/poly and 5976.48 rels/sec
11/21/21 01:19:19 v1.34.5 @ DESKTOP-RJPVCOL, trial division touched 49362275 sieve locations out of 654340784128
11/21/21 01:19:19 v1.34.5 @ DESKTOP-RJPVCOL, ==== post processing stage (msieve-1.38) ====
11/21/21 01:19:19 v1.34.5 @ DESKTOP-RJPVCOL, begin with 1185609 relations
11/21/21 01:19:20 v1.34.5 @ DESKTOP-RJPVCOL, reduce to 261589 relations in 9 passes
11/21/21 01:19:20 v1.34.5 @ DESKTOP-RJPVCOL, recovered 261589 relations
11/21/21 01:19:20 v1.34.5 @ DESKTOP-RJPVCOL, recovered 213727 polynomials
11/21/21 01:19:20 v1.34.5 @ DESKTOP-RJPVCOL, attempting to build 111490 cycles
11/21/21 01:19:20 v1.34.5 @ DESKTOP-RJPVCOL, found 111490 cycles in 6 passes
11/21/21 01:19:20 v1.34.5 @ DESKTOP-RJPVCOL, distribution of cycle lengths:
11/21/21 01:19:20 v1.34.5 @ DESKTOP-RJPVCOL,    length 1 : 29264
11/21/21 01:19:20 v1.34.5 @ DESKTOP-RJPVCOL,    length 2 : 22876
11/21/21 01:19:20 v1.34.5 @ DESKTOP-RJPVCOL,    length 3 : 20717
11/21/21 01:19:20 v1.34.5 @ DESKTOP-RJPVCOL,    length 4 : 15317
11/21/21 01:19:20 v1.34.5 @ DESKTOP-RJPVCOL,    length 5 : 10212
11/21/21 01:19:20 v1.34.5 @ DESKTOP-RJPVCOL,    length 6 : 6153
11/21/21 01:19:20 v1.34.5 @ DESKTOP-RJPVCOL,    length 7 : 3369
11/21/21 01:19:20 v1.34.5 @ DESKTOP-RJPVCOL,    length 9+: 3582
11/21/21 01:19:20 v1.34.5 @ DESKTOP-RJPVCOL, largest cycle: 19 relations
11/21/21 01:19:21 v1.34.5 @ DESKTOP-RJPVCOL, matrix is 86096 x 111490 (30.2 MB) with weight 7020784 (62.97/col)
11/21/21 01:19:21 v1.34.5 @ DESKTOP-RJPVCOL, sparse part has weight 7020784 (62.97/col)
11/21/21 01:19:21 v1.34.5 @ DESKTOP-RJPVCOL, filtering completed in 4 passes
11/21/21 01:19:21 v1.34.5 @ DESKTOP-RJPVCOL, matrix is 73785 x 73849 (16.5 MB) with weight 3727978 (50.48/col)
11/21/21 01:19:21 v1.34.5 @ DESKTOP-RJPVCOL, sparse part has weight 3727978 (50.48/col)
11/21/21 01:19:21 v1.34.5 @ DESKTOP-RJPVCOL, saving the first 48 matrix rows for later
11/21/21 01:19:21 v1.34.5 @ DESKTOP-RJPVCOL, matrix is 73737 x 73849 (13.8 MB) with weight 3163200 (42.83/col)
11/21/21 01:19:21 v1.34.5 @ DESKTOP-RJPVCOL, sparse part has weight 2880852 (39.01/col)
11/21/21 01:19:21 v1.34.5 @ DESKTOP-RJPVCOL, matrix includes 64 packed rows
11/21/21 01:19:21 v1.34.5 @ DESKTOP-RJPVCOL, using block size 29539 for processor cache size 12288 kB
11/21/21 01:19:21 v1.34.5 @ DESKTOP-RJPVCOL, commencing Lanczos iteration
11/21/21 01:19:21 v1.34.5 @ DESKTOP-RJPVCOL, memory use: 11.4 MB
11/21/21 01:19:28 v1.34.5 @ DESKTOP-RJPVCOL, lanczos halted after 1167 iterations (dim = 73725)
11/21/21 01:19:28 v1.34.5 @ DESKTOP-RJPVCOL, recovered 12 nontrivial dependencies
11/21/21 01:19:28 v1.34.5 @ DESKTOP-RJPVCOL, prp43 = 1524393267197589532394891672472319806060481
11/21/21 01:19:28 v1.34.5 @ DESKTOP-RJPVCOL, prp51 = 783590958103074448850412497124004929593102250230267
11/21/21 01:19:28 v1.34.5 @ DESKTOP-RJPVCOL, Lanczos elapsed time = 9.0370 seconds.
11/21/21 01:19:28 v1.34.5 @ DESKTOP-RJPVCOL, Sqrt elapsed time = 0.1230 seconds.
11/21/21 01:19:28 v1.34.5 @ DESKTOP-RJPVCOL, SIQS elapsed time = 207.5410 seconds.

211782420558755511382335498770309615182156101198928350332827556087512170472294700290366456563195899810686928783899922753<120>

1041595170093308569143357263952374774473356945749994285787<58>
203325079300995164140210051729575707848582352494928299634694419<63>

11/21/21 02:29:07 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 02:30:57 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 02:32:49 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 02:34:39 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 02:36:28 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 02:38:16 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 02:40:08 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 02:42:03 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 02:43:55 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 02:45:48 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 02:47:46 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 02:49:42 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 02:51:33 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 02:53:28 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve filtering
11/21/21 02:54:12 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve linear algebra
11/21/21 02:55:03 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve sqrt
11/21/21 02:55:41 v1.34.5 @ DESKTOP-RJPVCOL, prp58 = 1041595170093308569143357263952374774473356945749994285787
11/21/21 02:55:41 v1.34.5 @ DESKTOP-RJPVCOL, prp63 = 203325079300995164140210051729575707848582352494928299634694419
11/21/21 02:55:41 v1.34.5 @ DESKTOP-RJPVCOL, NFS elapsed time = 1593.7760 seconds.

23698489100921127175850554066387475324022404115549137166236801437814713456766778589000204172042455628784513781<110>

667407247124418526624153941254346525731213777363<48>
35508288534516374877542629298487780957932546415516817914526487<62>

N=23698489100921127175850554066387475324022404115549137166236801437814713456766778589000204172042455628784513781
  ( 110 digits)
SNFS difficulty: 130 digits.
Divisors found:
p48 factor: 667407247124418526624153941254346525731213777363
p62 factor: 35508288534516374877542629298487780957932546415516817914526487
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 2.90 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 23698489100921127175850554066387475324022404115549137166236801437814713456766778589000204172042455628784513781
m: 100000000000000000000000000000000
deg: 4
c4: 415
c0: -1
skew: 0.22
# Murphy_E = 1.155e-08
type: snfs
lss: 1
rlim: 1050000
alim: 1050000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1050000/1050000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [525000, 1125001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 145317 x 145542
Total sieving time: 2.83 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,130.000,4,0,0,0,0,0,0,0,0,1050000,1050000,26,26,47,47,2.3,2.3,100000
total time: 2.90 hours.

2721162860423957984045828836500141844705274546782263011406353559473413671115311064914881198287054199<100>

16740297335828883948914319544335298494313<41>
162551644444206733386339720478059753195204018918173755245023<60>

N=2721162860423957984045828836500141844705274546782263011406353559473413671115311064914881198287054199
  ( 100 digits)
SNFS difficulty: 131 digits.
Divisors found:
p41 factor: 16740297335828883948914319544335298494313
p60 factor: 162551644444206733386339720478059753195204018918173755245023
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 3.36 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 2721162860423957984045828836500141844705274546782263011406353559473413671115311064914881198287054199
m: 100000000000000000000000000000000
deg: 4
c4: 4150
c0: -1
skew: 0.12
# Murphy_E = 9.954e-09
type: snfs
lss: 1
rlim: 1090000
alim: 1090000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1090000/1090000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [545000, 1245001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 140290 x 140516
Total sieving time: 3.30 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,131.000,4,0,0,0,0,0,0,0,0,1090000,1090000,26,26,47,47,2.3,2.3,100000
total time: 3.36 hours.

192741403464977344760024352428228641911053429112196429710020282113943039534633465827494152290083083336655620852760067<117>

920571246455099637972606411090429605285291457977513<51>
209371522527103177254969669874221156271620299631756946775224083659<66>

N=192741403464977344760024352428228641911053429112196429710020282113943039534633465827494152290083083336655620852760067
  ( 117 digits)
SNFS difficulty: 134 digits.
Divisors found:
p51 factor: 920571246455099637972606411090429605285291457977513
p66 factor: 209371522527103177254969669874221156271620299631756946775224083659
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 4.13 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 192741403464977344760024352428228641911053429112196429710020282113943039534633465827494152290083083336655620852760067
m: 1000000000000000000000000000000000
deg: 4
c4: 415
c0: -1
skew: 0.22
# Murphy_E = 7.355e-09
type: snfs
lss: 1
rlim: 1230000
alim: 1230000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1230000/1230000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [615000, 1515001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 170089 x 170314
Total sieving time: 4.06 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,134.000,4,0,0,0,0,0,0,0,0,1230000,1230000,26,26,47,47,2.3,2.3,100000
total time: 4.13 hours.

446004112185092492710183892030581317136257009862837322981366456355998206852612928926636323463909<96>

302617711076128939406356634722992007970965531<45>
1473820255262231230747312151026689016163732758442239<52>

N=446004112185092492710183892030581317136257009862837322981366456355998206852612928926636323463909
  ( 96 digits)
Divisors found:
p45 factor: 302617711076128939406356634722992007970965531
p52 factor: 1473820255262231230747312151026689016163732758442239
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 2.38 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 446004112185092492710183892030581317136257009862837322981366456355998206852612928926636323463909
skew: 364821.86
c0: 49166458080169618135049509
c1: -222894687639610362460
c2: -2252180016027205
c3: 4019997448
c4: 8820
Y0: -84326686257111937774260
Y1: 4320024532199
rlim: 1560000
alim: 1560000
lpbr: 25
lpba: 25
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
type: gnfs
Factor base limits: 1560000/1560000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 50/50
Sieved algebraic special-q in [780000, 1020001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 118694 x 118919
Total sieving time: 2.33 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,95,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1560000,1560000,25,25,50,50,2.5,2.5,60000
total time: 2.38 hours.

8112583105105844774030350835009608035171468729413098596229896921323582594892786838457944564667061544205758565617113445189238218672234049<136>

6347145302209601006232036305035240538141215640951<49>
1278146744534373656326253844309605089514727184949141056317562982346535643083111719124999<88>

11/25/21 01:55:09 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/25/21 01:59:26 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/25/21 02:03:48 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/25/21 02:07:58 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/25/21 02:12:14 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/25/21 02:16:34 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/25/21 02:20:55 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/25/21 02:25:19 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/25/21 02:29:39 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/25/21 02:34:01 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/25/21 02:38:32 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve filtering
11/25/21 02:39:06 v1.34.5 @ DESKTOP-RJPVCOL, nfs: raising min_rels by 5.00 percent to 4738847
11/25/21 02:39:06 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/25/21 02:43:38 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve filtering
11/25/21 02:44:16 v1.34.5 @ DESKTOP-RJPVCOL, nfs: raising min_rels by 5.00 percent to 5221366
11/25/21 02:44:16 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
11/25/21 02:49:00 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve filtering
11/25/21 02:49:53 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve linear algebra
11/25/21 02:51:58 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve sqrt
11/25/21 02:52:16 v1.34.5 @ DESKTOP-RJPVCOL, prp49 = 6347145302209601006232036305035240538141215640951
11/25/21 02:52:16 v1.34.5 @ DESKTOP-RJPVCOL, prp88 = 1278146744534373656326253844309605089514727184949141056317562982346535643083111719124999
11/25/21 02:52:16 v1.34.5 @ DESKTOP-RJPVCOL, NFS elapsed time = 3427.4144 seconds.

3547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547<142>

844217539668244555543584328569378934354400523651638768242181219<63>
4201533823145191616657484928810061979329180854570057467368675256484432898773313<79>

11/21/21 03:21:38 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 03:26:27 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 03:31:14 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 03:36:02 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 03:40:47 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 03:45:45 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 03:50:30 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 03:55:22 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 04:00:08 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 04:04:58 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 04:09:54 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 04:14:52 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 04:19:40 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve filtering
11/21/21 04:20:16 v1.34.5 @ DESKTOP-RJPVCOL, nfs: raising min_rels by 5.00 percent to 4929567
11/21/21 04:20:16 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 04:25:10 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve filtering
11/21/21 04:25:49 v1.34.5 @ DESKTOP-RJPVCOL, nfs: raising min_rels by 5.00 percent to 5339240
11/21/21 04:25:49 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
11/21/21 04:30:49 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve filtering
11/21/21 04:31:47 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve linear algebra
11/21/21 04:34:56 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve sqrt
11/21/21 04:35:23 v1.34.5 @ DESKTOP-RJPVCOL, prp79 = 4201533823145191616657484928810061979329180854570057467368675256484432898773313
11/21/21 04:35:23 v1.34.5 @ DESKTOP-RJPVCOL, prp63 = 844217539668244555543584328569378934354400523651638768242181219
11/21/21 04:35:23 v1.34.5 @ DESKTOP-RJPVCOL, NFS elapsed time = 4425.0279 seconds.

246681098657404932342018057633863061222505131018720022755457688355838674493660484183445532980595897961<102>

1187034305169775157931541175062158911698382796643<49>
207812948272058115648907210234299858170697521277420227<54>

Sat Nov 20 22:19:14 2021  Msieve v. 1.53 (SVN 1005)
Sat Nov 20 22:19:14 2021  random seeds: 84a43a78 93833981
Sat Nov 20 22:19:14 2021  factoring 246681098657404932342018057633863061222505131018720022755457688355838674493660484183445532980595897961 (102 digits)
Sat Nov 20 22:19:14 2021  searching for 15-digit factors
Sat Nov 20 22:19:15 2021  commencing quadratic sieve (102-digit input)
Sat Nov 20 22:19:15 2021  using multiplier of 29
Sat Nov 20 22:19:15 2021  using generic 32kb sieve core
Sat Nov 20 22:19:15 2021  sieve interval: 36 blocks of size 32768
Sat Nov 20 22:19:15 2021  processing polynomials in batches of 6
Sat Nov 20 22:19:15 2021  using a sieve bound of 3123727 (112434 primes)
Sat Nov 20 22:19:15 2021  using large prime bound of 468559050 (28 bits)
Sat Nov 20 22:19:15 2021  using double large prime bound of 4049261070793200 (44-52 bits)
Sat Nov 20 22:19:15 2021  using trial factoring cutoff of 52 bits
Sat Nov 20 22:19:15 2021  polynomial 'A' values have 13 factors
Sun Nov 21 06:39:01 2021  112752 relations (26820 full + 85932 combined from 1673752 partial), need 112530
Sun Nov 21 06:39:07 2021  begin with 1700572 relations
Sun Nov 21 06:39:08 2021  reduce to 296182 relations in 10 passes
Sun Nov 21 06:39:08 2021  attempting to read 296182 relations
Sun Nov 21 06:39:10 2021  recovered 296182 relations
Sun Nov 21 06:39:10 2021  recovered 287676 polynomials
Sun Nov 21 06:39:10 2021  attempting to build 112752 cycles
Sun Nov 21 06:39:10 2021  found 112752 cycles in 6 passes
Sun Nov 21 06:39:10 2021  distribution of cycle lengths:
Sun Nov 21 06:39:10 2021     length 1 : 26820
Sun Nov 21 06:39:10 2021     length 2 : 19566
Sun Nov 21 06:39:10 2021     length 3 : 18951
Sun Nov 21 06:39:10 2021     length 4 : 15530
Sun Nov 21 06:39:10 2021     length 5 : 11596
Sun Nov 21 06:39:10 2021     length 6 : 7924
Sun Nov 21 06:39:10 2021     length 7 : 5141
Sun Nov 21 06:39:10 2021     length 9+: 7224
Sun Nov 21 06:39:10 2021  largest cycle: 21 relations
Sun Nov 21 06:39:10 2021  matrix is 112434 x 112752 (35.0 MB) with weight 8274053 (73.38/col)
Sun Nov 21 06:39:10 2021  sparse part has weight 8274053 (73.38/col)
Sun Nov 21 06:39:11 2021  filtering completed in 3 passes
Sun Nov 21 06:39:11 2021  matrix is 107894 x 107958 (33.7 MB) with weight 7960260 (73.73/col)
Sun Nov 21 06:39:11 2021  sparse part has weight 7960260 (73.73/col)
Sun Nov 21 06:39:11 2021  saving the first 48 matrix rows for later
Sun Nov 21 06:39:11 2021  matrix includes 64 packed rows
Sun Nov 21 06:39:11 2021  matrix is 107846 x 107958 (25.1 MB) with weight 6704490 (62.10/col)
Sun Nov 21 06:39:11 2021  sparse part has weight 5491920 (50.87/col)
Sun Nov 21 06:39:11 2021  using block size 8192 and superblock size 294912 for processor cache size 3072 kB
Sun Nov 21 06:39:12 2021  commencing Lanczos iteration
Sun Nov 21 06:39:12 2021  memory use: 15.6 MB
Sun Nov 21 06:39:17 2021  linear algebra at 11.2%, ETA 0h 0m
Sun Nov 21 06:39:58 2021  lanczos halted after 1707 iterations (dim = 107846)
Sun Nov 21 06:39:58 2021  recovered 18 nontrivial dependencies
Sun Nov 21 06:39:58 2021  p49 factor: 1187034305169775157931541175062158911698382796643
Sun Nov 21 06:39:58 2021  p54 factor: 207812948272058115648907210234299858170697521277420227
Sun Nov 21 06:39:58 2021  elapsed time 08:20:44

Msieve v. 1.53 (SVN 1005)

Windows 7 64-bit 1.07.00.AE B08
Intel(R) Core(TM) i5-2520M CPU @ 2.50GHz

25777774599785804514378572727987384168956424459368330062492106579677135459358792054144363155526650310599<104>

1941860609113512595447406204210878787<37>
13274781144849387926705931948032071895287442526457952265187185612077<68>

Sun Nov 21 22:47:58 2021  Msieve v. 1.53 (SVN 1005)
Sun Nov 21 22:47:58 2021  random seeds: 988f55f0 1ff281f3
Sun Nov 21 22:47:58 2021  factoring 25777774599785804514378572727987384168956424459368330062492106579677135459358792054144363155526650310599 (104 digits)
Sun Nov 21 22:47:58 2021  searching for 15-digit factors
Sun Nov 21 22:47:58 2021  commencing quadratic sieve (104-digit input)
Sun Nov 21 22:47:58 2021  using multiplier of 1
Sun Nov 21 22:47:58 2021  using generic 32kb sieve core
Sun Nov 21 22:47:58 2021  sieve interval: 36 blocks of size 32768
Sun Nov 21 22:47:58 2021  processing polynomials in batches of 6
Sun Nov 21 22:47:58 2021  using a sieve bound of 3650431 (129631 primes)
Sun Nov 21 22:47:58 2021  using large prime bound of 547564650 (29 bits)
Sun Nov 21 22:47:58 2021  using double large prime bound of 5360233560896250 (44-53 bits)
Sun Nov 21 22:47:58 2021  using trial factoring cutoff of 53 bits
Sun Nov 21 22:47:58 2021  polynomial 'A' values have 14 factors
Mon Nov 22 09:47:01 2021  129896 relations (31150 full + 98746 combined from 1939248 partial), need 129727
Mon Nov 22 09:47:02 2021  begin with 1970398 relations
Mon Nov 22 09:47:03 2021  reduce to 341815 relations in 12 passes
Mon Nov 22 09:47:03 2021  attempting to read 341815 relations
Mon Nov 22 09:47:05 2021  recovered 341815 relations
Mon Nov 22 09:47:05 2021  recovered 333740 polynomials
Mon Nov 22 09:47:05 2021  attempting to build 129896 cycles
Mon Nov 22 09:47:05 2021  found 129896 cycles in 6 passes
Mon Nov 22 09:47:05 2021  distribution of cycle lengths:
Mon Nov 22 09:47:05 2021     length 1 : 31150
Mon Nov 22 09:47:05 2021     length 2 : 22210
Mon Nov 22 09:47:05 2021     length 3 : 21572
Mon Nov 22 09:47:05 2021     length 4 : 17888
Mon Nov 22 09:47:05 2021     length 5 : 13322
Mon Nov 22 09:47:05 2021     length 6 : 9285
Mon Nov 22 09:47:05 2021     length 7 : 6069
Mon Nov 22 09:47:05 2021     length 9+: 8400
Mon Nov 22 09:47:05 2021  largest cycle: 21 relations
Mon Nov 22 09:47:05 2021  matrix is 129631 x 129896 (39.0 MB) with weight 9191648 (70.76/col)
Mon Nov 22 09:47:05 2021  sparse part has weight 9191648 (70.76/col)
Mon Nov 22 09:47:06 2021  filtering completed in 3 passes
Mon Nov 22 09:47:06 2021  matrix is 124303 x 124367 (37.5 MB) with weight 8846807 (71.13/col)
Mon Nov 22 09:47:06 2021  sparse part has weight 8846807 (71.13/col)
Mon Nov 22 09:47:06 2021  saving the first 48 matrix rows for later
Mon Nov 22 09:47:06 2021  matrix includes 64 packed rows
Mon Nov 22 09:47:06 2021  matrix is 124255 x 124367 (24.2 MB) with weight 7044175 (56.64/col)
Mon Nov 22 09:47:06 2021  sparse part has weight 5092634 (40.95/col)
Mon Nov 22 09:47:06 2021  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Mon Nov 22 09:47:06 2021  commencing Lanczos iteration
Mon Nov 22 09:47:06 2021  memory use: 15.7 MB
Mon Nov 22 09:47:09 2021  linear algebra at 9.8%, ETA 0h 0m
Mon Nov 22 09:47:34 2021  lanczos halted after 1967 iterations (dim = 124252)
Mon Nov 22 09:47:34 2021  recovered 16 nontrivial dependencies
Mon Nov 22 09:47:34 2021  p37 factor: 1941860609113512595447406204210878787
Mon Nov 22 09:47:34 2021  p68 factor: 13274781144849387926705931948032071895287442526457952265187185612077
Mon Nov 22 09:47:34 2021  elapsed time 10:59:36

Msieve v. 1.53 (SVN 1005)

Windows 10 Business Version 21H1
Intel(R) Core(TM) i7-9750H CPU @ 2.60GHz

50174580433502502075743549538335573028920228546413410758364075468092418574355641221940821714381138807839680147108168532156817565021<131>

4073842435442013391846541363077199559068539783641908441<55>
12316279097342787087198281745383278145997906656603931174104579977522471289381<77>

P77 = 12316279097342787087198281745383278145997906656603931174104579977522471289381
P55 = 4073842435442013391846541363077199559068539783641908441

5552104407904295103468198236240902641863240697841738661530885585078956434586731925009040431302092814792113835161898600012593770753673<133>

1338840115538566276833694324925477043573362342200862165746350664933<67>
4146951038788441980838231710734972209536786851472697794074855277781<67>

P67 = 1338840115538566276833694324925477043573362342200862165746350664933
P67 = 4146951038788441980838231710734972209536786851472697794074855277781

263341582587727647693381559743638555745922964655117710514626562599149692239355289041182816168538612856145694523764198235928675677390697379275334729361<150>

136554556720578098436099772151887725420245689849559<51>
1928471586097158554676431198034186273114721912839308862732501550100196813586401911443292186755313879<100>

P51 = 136554556720578098436099772151887725420245689849559
P100 = 1928471586097158554676431198034186273114721912839308862732501550100196813586401911443292186755313879

762616976898551056320863142775330977333429588666954365114267292481161835441078527303366663911896027935396288658001<114>

929466361505452712214712810930064574059<39>
820489055314862156662255515861770673197108765682753816887196499264371628339<75>

CADO

STA:Tue 23 Nov 2021 15:31:23 AEDT (762,616,976,898,551,056,320,863,142,775,330,977,333,429,588,666,954,365,114,267,292,481,161,835,441,078,527,303,366,663,911,896,027,935,396,288,658,001 - C114)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 762616976898551056320863142775330977333429588666954365114267292481161835441078527303366663911896027935396288658001 2>&1 | tee -a log90

Debug:root: Looking for parameter file for c114 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c115
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c115
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.x2qx7wak
Info:Database: Opened connection to database /tmp/cado.x2qx7wak/c115.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 7626169768985510563208631427753309773334295886669543651142672924811618354410785273033
66663911896027935396288658001
Debug:root: Root parameter dictionary:
N = 762616976898551056320863142775330977333429588666954365114267292481161835441078527303366663911896027935396288658001
lim0 = 5484593
lim1 = 2800829
lpb0 = 26
lpb1 = 26
name = c115
...
n: 762616976898551056320863142775330977333429588666954365114267292481161835441078527303366663911896027935396288658001
skew: 1795129.211
c0: 462580204939896064069328706522
c1: 2011664736562930147567515
c2: -554879832901623239
c3: -750450271728
c4: 64440
Y0: -2237733735302209782118874489
Y1: 10733352236747286397
# MurphyE (Bf=2.80e+06,Bg=5.48e+06,area=9.40e+13) = 2.4e-09
# f(x) = 64440*x^4-750450271728*x^3-554879832901623239*x^2+2011664736562930147567515*x+462580204939896064069328706522
# g(x) = 10733352236747286397*x-2237733735302209782118874489
...
Info:Square Root: finished
Info:Square Root: Factors: 820489055314862156662255515861770673197108765682753816887196499264371628339 929466361505452712214712810930064574059
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 282.78/40.559
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 55681.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 56211/38.160/43.504/47.290/0.632
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 56211/37.400/42.694/44.320/1.013
Info:Polynomial Selection (size optimized): Total time: 1117.51
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 145.92
Info:Polynomial Selection (root optimized): Rootsieve time: 145.27
Info:Generate Factor Base: Total cpu/real time for makefb: 2.72/0.294362
Info:Generate Free Relations: Total cpu/real time for freerel: 53.52/3.55881
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6791899
Info:Lattice Sieving: Average J: 4096 for 70772 special-q, max bucket fill: 0.676526
Info:Lattice Sieving: Total CPU time: 60352.3s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 16.73/19.2227
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 19.1s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 89.55/29.1851
Info:Filtering - Singleton removal: Total cpu/real time for purge: 77.27/28.0306
Info:Filtering - Merging: Total cpu/real time for merge: 145.29/117.415
Info:Filtering - Merging: Total cpu/real time for replay: 14.4/11.2522
Info:Linear Algebra: Total cpu/real time for bwc: 4110.09/0.00036788
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 163.01
Info:Linear Algebra: Lingen CPU time 85.42, WCT time 8.72
Info:Linear Algebra: Mksol: WCT time 97.6
Info:Quadratic Characters: Total cpu/real time for characters: 14.5/3.38948
Info:Square Root: Total cpu/real time for sqrt: 282.78/40.559
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 66422.5/4610.55
Info:root: Cleaning up computation data in /tmp/cado.x2qx7wak
820489055314862156662255515861770673197108765682753816887196499264371628339 929466361505452712214712810930064574059

END:Tue 23 Nov 2021 16:48:14 AEDT (762,616,976,898,551,056,320,863,142,775,330,977,333,429,588,666,954,365,114,267,292,481,161,835,441,078,527,303,366,663,911,896,027,935,396,288,658,001 - C114)

932324595964491747223075527450783111568530231294974619746325007970281472780017058360292283685529651779981468512448591450502807434647954909<138>

36656439324712713299534872086383846097505981909230229<53>
25434128713531251692035183488717826232569301712438628133341182849567214298668214266921<86>

Number: 92222_156
N=932324595964491747223075527450783111568530231294974619746325007970281472780017058360292283685529651779981468512448591450502807434647954909
  ( 138 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=36656439324712713299534872086383846097505981909230229 (pp53)
 r2=25434128713531251692035183488717826232569301712438628133341182849567214298668214266921 (pp86)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 9.99 hours.
Scaled time: 33.32 units (timescale=3.336).
Factorization parameters were as follows:
n: 932324595964491747223075527450783111568530231294974619746325007970281472780017058360292283685529651779981468512448591450502807434647954909
m: 10000000000000000000000000000000
deg: 5
c5: 415
c0: -1
skew: 0.30
# Murphy_E = 7.505e-10
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1500000, 2800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 368855 x 369080
Total sieving time: 9.88 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,157.000,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 9.99 hours.
 --------- CPU info (if available) ----------
[    0.092650] smpboot: CPU0: Intel(R) Core(TM) i5-9400F CPU @ 2.90GHz (family: 0x6, model: 0x9e, stepping: 0xa)
[    0.078524] Memory: 16202444K/16691600K available (18438K kernel code, 1746K rwdata, 4144K rodata, 1168K init, 992K bss, 488896K reserved, 0K cma-reserved)
[    0.088863] Calibrating delay loop (skipped), value calculated using timer frequency.. 5799.77 BogoMIPS (lpj=2899886)
[    0.094294] smpboot: Total of 6 processors activated (34798.63 BogoMIPS)

250757433723679238041570214698088465485064699239615694806648691365064138307970137735062112135793347175997<105>

23240691640475117729208540340678822130441<41>
10789585680271644213169318876728759751026300951050976271405818517<65>

250757433723679238041570214698088465485064699239615694806648691365064138307970137735062112135793347175997=23240691640475117729208540340678822130441*10789585680271644213169318876728759751026300951050976271405818517

msieve -nq
Mon Nov 22 12:25:39 2021  Msieve v. 1.53 (SVN 1005)
Mon Nov 22 12:25:39 2021  random seeds: 36802270 22cf8b41
Mon Nov 22 12:25:39 2021  factoring 250757433723679238041570214698088465485064699239615694806648691365064138307970137735062112135793347175997 (105 digits)
Mon Nov 22 12:25:39 2021  searching for 15-digit factors
Mon Nov 22 12:25:39 2021  commencing number field sieve (105-digit input)
Mon Nov 22 12:25:39 2021  commencing number field sieve polynomial selection
Mon Nov 22 12:25:39 2021  polynomial degree: 4
Mon Nov 22 12:25:39 2021  max stage 1 norm: 8.29e+017
Mon Nov 22 12:25:39 2021  max stage 2 norm: 1.28e+016
Mon Nov 22 12:25:39 2021  min E-value: 3.39e-009
Mon Nov 22 12:25:39 2021  poly select deadline: 1743
Mon Nov 22 12:25:39 2021  time limit set to 0.48 CPU-hours
Mon Nov 22 12:25:39 2021  expecting poly E from 6.10e-009 to > 7.01e-009
Mon Nov 22 12:25:39 2021  searching leading coefficients from 1 to 167038493
Mon Nov 22 12:56:23 2021  polynomial selection complete
Mon Nov 22 12:56:23 2021  R0: -38020529163647743917764656
Mon Nov 22 12:56:23 2021  R1: 1289492333183
Mon Nov 22 12:56:23 2021  A0: -823641697697350228009228717155
Mon Nov 22 12:56:23 2021  A1: -6215650631671988406302
Mon Nov 22 12:56:23 2021  A2: -26593616886292025
Mon Nov 22 12:56:23 2021  A3: -468622958
Mon Nov 22 12:56:23 2021  A4: 120
Mon Nov 22 12:56:23 2021  skew 15228270.96, size 1.888e-014, alpha -4.879, combined = 5.858e-009 rroots = 2
Mon Nov 22 12:56:23 2021  elapsed time 00:30:44

msieve
Sun Nov 21 22:50:11 2021  Msieve v. 1.53 (SVN 1005)
Sun Nov 21 22:50:11 2021  random seeds: 7a61e448 26250d97
Sun Nov 21 22:50:11 2021  factoring 250757433723679238041570214698088465485064699239615694806648691365064138307970137735062112135793347175997 (105 digits)
Sun Nov 21 22:50:11 2021  searching for 15-digit factors
Sun Nov 21 22:50:11 2021  commencing quadratic sieve (105-digit input)
Sun Nov 21 22:50:11 2021  using multiplier of 13
Sun Nov 21 22:50:11 2021  using generic 32kb sieve core
Sun Nov 21 22:50:11 2021  sieve interval: 36 blocks of size 32768
Sun Nov 21 22:50:11 2021  processing polynomials in batches of 6
Sun Nov 21 22:50:11 2021  using a sieve bound of 3877481 (137426 primes)
Sun Nov 21 22:50:11 2021  using large prime bound of 581622150 (29 bits)
Sun Nov 21 22:50:11 2021  using double large prime bound of 5975216639034750 (44-53 bits)
Sun Nov 21 22:50:11 2021  using trial factoring cutoff of 53 bits
Sun Nov 21 22:50:11 2021  polynomial 'A' values have 14 factors
Mon Nov 22 16:30:10 2021  137848 relations (32827 full + 105021 combined from 2048204 partial), need 137522
Mon Nov 22 16:30:10 2021  begin with 2081031 relations
Mon Nov 22 16:30:11 2021  reduce to 363854 relations in 11 passes
Mon Nov 22 16:30:11 2021  attempting to read 363854 relations
Mon Nov 22 16:30:12 2021  recovered 363854 relations
Mon Nov 22 16:30:12 2021  recovered 356411 polynomials
Mon Nov 22 16:30:12 2021  attempting to build 137848 cycles
Mon Nov 22 16:30:12 2021  found 137848 cycles in 7 passes
Mon Nov 22 16:30:12 2021  distribution of cycle lengths:
Mon Nov 22 16:30:12 2021     length 1 : 32827
Mon Nov 22 16:30:12 2021     length 2 : 23677
Mon Nov 22 16:30:12 2021     length 3 : 23010
Mon Nov 22 16:30:12 2021     length 4 : 18797
Mon Nov 22 16:30:12 2021     length 5 : 14307
Mon Nov 22 16:30:12 2021     length 6 : 9783
Mon Nov 22 16:30:12 2021     length 7 : 6405
Mon Nov 22 16:30:12 2021     length 9+: 9042
Mon Nov 22 16:30:12 2021  largest cycle: 21 relations
Mon Nov 22 16:30:13 2021  matrix is 137426 x 137848 (40.9 MB) with weight 9622099 (69.80/col)
Mon Nov 22 16:30:13 2021  sparse part has weight 9622099 (69.80/col)
Mon Nov 22 16:30:13 2021  filtering completed in 3 passes
Mon Nov 22 16:30:13 2021  matrix is 131926 x 131990 (39.3 MB) with weight 9242933 (70.03/col)
Mon Nov 22 16:30:13 2021  sparse part has weight 9242933 (70.03/col)
Mon Nov 22 16:30:13 2021  saving the first 48 matrix rows for later
Mon Nov 22 16:30:13 2021  matrix includes 64 packed rows
Mon Nov 22 16:30:13 2021  matrix is 131878 x 131990 (23.8 MB) with weight 7222873 (54.72/col)
Mon Nov 22 16:30:13 2021  sparse part has weight 4924741 (37.31/col)
Mon Nov 22 16:30:13 2021  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Mon Nov 22 16:30:14 2021  commencing Lanczos iteration
Mon Nov 22 16:30:14 2021  memory use: 15.8 MB
Mon Nov 22 16:30:16 2021  linear algebra at 9.2%, ETA 0h 0m
Mon Nov 22 16:30:34 2021  lanczos halted after 2087 iterations (dim = 131878)
Mon Nov 22 16:30:34 2021  recovered 18 nontrivial dependencies
Mon Nov 22 16:30:35 2021  p41 factor: 23240691640475117729208540340678822130441
Mon Nov 22 16:30:35 2021  p65 factor: 10789585680271644213169318876728759751026300951050976271405818517
Mon Nov 22 16:30:35 2021  elapsed time 17:40:24

Msieve v. 1.53 (SVN 1005)

Windows 10 Business Version 21H1
Intel(R) Core(TM) i7-9750H CPU @ 2.60GHz

499425744677417585347769114044769613479565732425769346428711548639136313570694220722466746146205613671255939757967813<117>

13469169681929326670878050713201590764387729065535331<53>
37079178336246168490573633823842535203259325578149767762983319223<65>

CADO

STA:Tue 23 Nov 2021 11:37:38 AEDT (499,425,744,677,417,585,347,769,114,044,769,613,479,565,732,425,769,346,428,711,548,639,136,313,570,694,220,722,466,746,146,205,613,671,255,939,757,967,813 - C117)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 499425744677417585347769114044769613479565732425769346428711548639136313570694220722466746146205613671255939757967813 2>&1 | tee -a log88

Debug:root: Looking for parameter file for c117 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c115
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c115
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.gscq3msk
Info:Database: Opened connection to database /tmp/cado.gscq3msk/c115.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 4994257446774175853477691140447696134795657324257693464287115486391363135706942207224
66746146205613671255939757967813
Debug:root: Root parameter dictionary:
N = 499425744677417585347769114044769613479565732425769346428711548639136313570694220722466746146205613671255939757967813
lim0 = 5484593
lim1 = 2800829
lpb0 = 26
lpb1 = 26
name = c115
...
n: 499425744677417585347769114044769613479565732425769346428711548639136313570694220722466746146205613671255939757967813
skew: 2370473.606
c0: 15901771100776708557949065749880
c1: -27915901465534842543963075
c2: -12036643773525672731
c3: 1143193928510
c4: 1021200
Y0: -5592251424703372602201168031
Y1: 499244546602643993
# MurphyE (Bf=2.80e+06,Bg=5.48e+06,area=9.40e+13) = 1.47e-09
# f(x) = 1021200*x^4+1143193928510*x^3-12036643773525672731*x^2-27915901465534842543963075*x+15901771100776708557949065749880
# g(x) = 499244546602643993*x-5592251424703372602201168031
...
Info:Square Root: finished
Info:Square Root: Factors: 13469169681929326670878050713201590764387729065535331 37079178336246168490573633823842535203259325578149767762983319223
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 350.45/50.6201
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 55681.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 55993/39.490/44.600/46.920/0.598
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 55993/38.500/43.882/45.930/0.989
Info:Polynomial Selection (size optimized): Total time: 1114.35
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 150.08
Info:Polynomial Selection (root optimized): Rootsieve time: 149.4
Info:Generate Factor Base: Total cpu/real time for makefb: 2.74/0.304795
Info:Generate Free Relations: Total cpu/real time for freerel: 53.32/3.54284
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6791240
Info:Lattice Sieving: Average J: 4096 for 99342 special-q, max bucket fill: 0.709742
Info:Lattice Sieving: Total CPU time: 80706.5s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 17.16/19.7278
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 19.6s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 91.96/28.8905
Info:Filtering - Singleton removal: Total cpu/real time for purge: 69.59/26.9101
Info:Filtering - Merging: Total cpu/real time for merge: 157.63/124.134
Info:Filtering - Merging: Total cpu/real time for replay: 16.76/12.984
Info:Linear Algebra: Total cpu/real time for bwc: 5475.82/0.000324726
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 225.34
Info:Linear Algebra: Lingen CPU time 105.44, WCT time 10.6
Info:Linear Algebra: Mksol: WCT time 129.97
Info:Quadratic Characters: Total cpu/real time for characters: 16.66/3.98067
Info:Square Root: Total cpu/real time for sqrt: 350.45/50.6201
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 88223/6065.06
Info:root: Cleaning up computation data in /tmp/cado.gscq3msk
13469169681929326670878050713201590764387729065535331 37079178336246168490573633823842535203259325578149767762983319223

END:Tue 23 Nov 2021 13:18:44 AEDT (499,425,744,677,417,585,347,769,114,044,769,613,479,565,732,425,769,346,428,711,548,639,136,313,570,694,220,722,466,746,146,205,613,671,255,939,757,967,813 - C117)

504638248793332550254078218619415901498183332465516040861446523436826032208490243126768014742705083282627900041442865987716132433475567881776115881<147>

253808019028803543916376609289393436126810797011<48>
1988267552476596094029684493273538301638657420473916405252440173371577734194744816637845525118257171<100>

P13 = 7028814314987
P48 = 253808019028803543916376609289393436126810797011
P100 = 1988267552476596094029684493273538301638657420473916405252440173371577734194744816637845525118257171

3643534902969476947032927848961694496625295827032819601327078955135292269950495616541770706080490001704330771913566888421495637828649711653<139>

263732469994720509595867223645043155514120547<45>
13815268567584471206241716202626152458380159280687992787020481332479597814746698970699422032599<95>

P23 = 18079424961547489877741
P45 = 263732469994720509595867223645043155514120547
P95 = 13815268567584471206241716202626152458380159280687992787020481332479597814746698970699422032599

2526786881892248467865299853838011919456219702289056831804951052485395676972236699734959381623384895021887544022252787543<121>

5637295614387341560101609764691902941<37>
448226783680362022291354272190657183934265363369140415852863918052761864327300553923<84>

CADO

STA:Tue 23 Nov 2021 13:36:12 AEDT (2,526,786,881,892,248,467,865,299,853,838,011,919,456,219,702,289,056,831,804,951,052,485,395,676,972,236,699,734,959,381,623,384,895,021,887,544,022,252,787,543 - C121)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 2526786881892248467865299853838011919456219702289056831804951052485395676972236699734959381623384895021887544022252787543 2>&1 | tee -a log89

Debug:root: Looking for parameter file for c121 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c120
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c120
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.kz75rfr9
Info:Database: Opened connection to database /tmp/cado.kz75rfr9/c120.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 2526786881892248467865299853838011919456219702289056831804951052485395676972236699734
959381623384895021887544022252787543
Debug:root: Root parameter dictionary:
N = 2526786881892248467865299853838011919456219702289056831804951052485395676972236699734959381623384895021887544022252787543
lim0 = 5667620
lim1 = 18220697
lpb0 = 26
lpb1 = 27
name = c120
...
n: 2526786881892248467865299853838011919456219702289056831804951052485395676972236699734959381623384895021887544022252787543
skew: 49330.264
c0: 9902948249857040487226215714
c1: -348423555440894066558571
c2: -14478134981835733222
c3: -165516394517053
c4: -93067060
c5: 45600
Y0: -185851193510915123478998
Y1: 27070692944699047
# MurphyE (Bf=1.82e+07,Bg=5.67e+06,area=2.45e+15) = 1.57e-09
# f(x) = 45600*x^5-93067060*x^4-165516394517053*x^3-14478134981835733222*x^2-348423555440894066558571*x+9902948249857040487226215714
# g(x) = 27070692944699047*x-185851193510915123478998
...
Info:Square Root: finished
Info:Square Root: Factors: 448226783680362022291354272190657183934265363369140415852863918052761864327300553923 5637295614387341560101609764691902941
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 10356.5
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 10447/34.980/43.072/48.740/1.055
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 10447/34.590/38.298/43.550/1.155
Info:Polynomial Selection (size optimized): Total time: 1145.4
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 403.79
Info:Polynomial Selection (root optimized): Rootsieve time: 402.89
Info:Generate Factor Base: Total cpu/real time for makefb: 23.54/2.15084
Info:Generate Free Relations: Total cpu/real time for freerel: 150.56/10.0473
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 10209714
Info:Lattice Sieving: Average J: 8007.3 for 21588 special-q, max bucket fill: 0.637688
Info:Lattice Sieving: Total CPU time: 64731.8s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 26/34.1245
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 33.7s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 184.83/81.2881
Info:Filtering - Singleton removal: Total cpu/real time for purge: 116.6/64.4747
Info:Filtering - Merging: Total cpu/real time for merge: 485.06/395.884
Info:Filtering - Merging: Total cpu/real time for replay: 36.95/28.8136
Info:Linear Algebra: Total cpu/real time for bwc: 21788.7/0.000180244
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 907.92
Info:Linear Algebra: Lingen CPU time 221.18, WCT time 21.88
Info:Linear Algebra: Mksol: WCT time 505.76
Info:Quadratic Characters: Total cpu/real time for characters: 37.08/8.68774
Info:Square Root: Total cpu/real time for sqrt: 887.49/126.2
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 90017.8/6619.95
Info:root: Cleaning up computation data in /tmp/cado.kz75rfr9
448226783680362022291354272190657183934265363369140415852863918052761864327300553923 5637295614387341560101609764691902941

END:Tue 23 Nov 2021 15:26:32 AEDT (2,526,786,881,892,248,467,865,299,853,838,011,919,456,219,702,289,056,831,804,951,052,485,395,676,972,236,699,734,959,381,623,384,895,021,887,544,022,252,787,543 - C121)

169988394105882062074288310788507874076026906207036956629113203386430469832917272811999187950285764437732516192814863299873993419919662165999466111101667539<156>

294759263521046665671380990086845003557916798433188156782224752738915444367<75>
576702465853950670098614897637870116881046413777395785080255587002920128235649917<81>

P81 = 576702465853950670098614897637870116881046413777395785080255587002920128235649917
P75 = 294759263521046665671380990086845003557916798433188156782224752738915444367

7552456271569328130413546422455887822466093211616237502692304793707058347175101865232392873421588240110544313359725935318733436725423289<136>

18401536180446464535394696822367886333587317673621<50>
410425314360145326906262765565965375840183866448916908420901650865426521777368071106709<87>

P30 = 203514854210159557980204216533
P50 = 18401536180446464535394696822367886333587317673621
P87 = 410425314360145326906262765565965375840183866448916908420901650865426521777368071106709

3467000835421888053467000835421888053467000835421888053467000835421888053467000835421888053467000835421888053467000835421888053467000835421888053467000835421888053467<166>

8565242819979715314113980232073987872027231<43>
404775545572927353186618700701331944178495133000266215008606408298570256912285764394595860091725869180780981900112392772357<123>

P43 = 8565242819979715314113980232073987872027231
P123 = 404775545572927353186618700701331944178495133000266215008606408298570256912285764394595860091725869180780981900112392772357

71823926197255202477713979376839465054909571632129012402014740226031566889446931249706057693245601205670585166567501471998087251<128>

121210928606266229115085424023304956982713<42>
232585178313433362929518506609052866698953<42>
2547682640632265198423649391773495571517216659<46>

CADO

STA:Tue 23 Nov 2021 17:25:14 AEDT (71,823,926,197,255,202,477,713,979,376,839,465,054,909,571,632,129,012,402,014,740,226,031,566,889,446,931,249,706,057,693,245,601,205,670,585,166,567,501,471,998,087,251 - C128)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 71823926197255202477713979376839465054909571632129012402014740226031566889446931249706057693245601205670585166567501471998087251 2>&1 | tee -a log91

Debug:root: Looking for parameter file for c128 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c130
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c130
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.r2588u17
Info:Database: Opened connection to database /tmp/cado.r2588u17/c130.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 7182392619725520247771397937683946505490957163212901240201474022603156688944693124970
6057693245601205670585166567501471998087251
Debug:root: Root parameter dictionary:
N = 71823926197255202477713979376839465054909571632129012402014740226031566889446931249706057693245601205670585166567501471998087251
lim0 = 11872741
lim1 = 45278470
lpb0 = 27
lpb1 = 28
name = c130
...
n: 71823926197255202477713979376839465054909571632129012402014740226031566889446931249706057693245601205670585166567501471998087251
skew: 158400.44
c0: 2701700673020230988814356632074
c1: -286380750419504103742423
c2: -729906620758508396886
c3: -1166316286231327
c4: -2899716298
c5: 30240
Y0: -5439401448226542069957760
Y1: 134093994273556823
# MurphyE (Bf=4.53e+07,Bg=1.19e+07,area=6.08e+15) = 2.12e-09
# f(x) = 30240*x^5-2899716298*x^4-1166316286231327*x^3-729906620758508396886*x^2-286380750419504103742423*x+2701700673020230988814356632074
# g(x) = 134093994273556823*x-5439401448226542069957760
...
Info:Square Root: finished
Info:Square Root: Factors: 121210928606266229115085424023304956982713 2547682640632265198423649391773495571517216659 232585178313433362929518506609052866698953
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 1495.12/210.192
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): 38545/37.730/45.617/49.810/0.874
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 38545/37.270/40.984/46.410/1.067
Info:Polynomial Selection (size optimized): Total time: 5816.94
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1976.98
Info:Polynomial Selection (root optimized): Rootsieve time: 1976.08
Info:Generate Factor Base: Total cpu/real time for makefb: 58.86/5.17707
Info:Generate Free Relations: Total cpu/real time for freerel: 306.87/20.6715
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 19196769
Info:Lattice Sieving: Average J: 7701.97 for 66564 special-q, max bucket fill: 0.654828
Info:Lattice Sieving: Total CPU time: 217434s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 51.01/70.8473
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 70.8s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 328.05/103.576
Info:Filtering - Singleton removal: Total cpu/real time for purge: 199.85/83.4603
Info:Filtering - Merging: Total cpu/real time for merge: 968.47/866.482
Info:Filtering - Merging: Total cpu/real time for replay: 82.07/73.7861
Info:Linear Algebra: Total cpu/real time for bwc: 53260.4/0.000329733
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 2401.36
Info:Linear Algebra: Lingen CPU time 345.53, WCT time 33.9
Info:Linear Algebra: Mksol: WCT time 1262.07
Info:Quadratic Characters: Total cpu/real time for characters: 56.55/13.5551
Info:Square Root: Total cpu/real time for sqrt: 1495.12/210.192
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 282035/20815.6
Info:root: Cleaning up computation data in /tmp/cado.r2588u17
121210928606266229115085424023304956982713 2547682640632265198423649391773495571517216659 232585178313433362929518506609052866698953

END:Tue 23 Nov 2021 23:12:10 AEDT (71,823,926,197,255,202,477,713,979,376,839,465,054,909,571,632,129,012,402,014,740,226,031,566,889,446,931,249,706,057,693,245,601,205,670,585,166,567,501,471,998,087,251 - C128)

21868960205343263785642153593461000003393738099759707993787916005761109196546505988827490873110046742302319714917189168936627273259230377<137>

48677141277519248772180073189097480733584678988251<50>
449265499809519211065546605803044648041044874199611522142692268924514275131212735847627<87>

P50 = 48677141277519248772180073189097480733584678988251
P87 = 449265499809519211065546605803044648041044874199611522142692268924514275131212735847627

2031109376955288032591449590326792416982482823104282101268012404079968262078763256616869396818628160592676950827611107027631885270623669<136>

1381683673773962113799594652649627678753736708929025826608280029<64>
1470024880157604980982267011843384150951730814876941715922794033788191161<73>

P73 = 1470024880157604980982267011843384150951730814876941715922794033788191161
P64 = 1381683673773962113799594652649627678753736708929025826608280029

94882940622577940290879392602059519811797925617511850581737336050748606358851272549663766436461606432757065549544798598345688949952102906010786322597833786675291<161>

3265278666307597956315482826680940614312561<43>
29058144899428229782056861012004213772763676742874757694664836063672068587788061577173333011195868598389730844713921931<119>

P43 = 3265278666307597956315482826680940614312561
P119 = 29058144899428229782056861012004213772763676742874757694664836063672068587788061577173333011195868598389730844713921931

249265341238459794589958615400437715978934350479510863401847799465327366417266736182716066209876471776655202090929668069323825860122608553478965481670590064495589<162>

5427168287714671343335474834118046426787511190089<49>
45929171166981270380821554311073724737145321491772455835003570202945499592837796533315235396345345754494715149501<113>

P113 = 45929171166981270380821554311073724737145321491772455835003570202945499592837796533315235396345345754494715149501
P49 = 5427168287714671343335474834118046426787511190089

20661737101620948750403387736232069405095546936743001323587382700965294317739373888507990620402977459520293147376439021762663467654586317641910117589<149>

5742020175720945829887251925795971321674515878113169314056869690471<67>
3598339342133492417966470991251901654159188501812122820240474289311485078878293859<82>

CADO

Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.5_80czsd
Info:Database: Opened connection to database /tmp/cado.5_80czsd/F9.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 16
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: ./cado-nfs.py -t 16 parameters/factor/parameters.snfs slaves.hostnames=localhost
Info:root: If this computation gets interrupted, it can be resumed with ./cado-nfs.py /tmp/cado.5_80czsd/F9.parameters_snapshot.0
Info:Server Launcher: Adding linux-6 to whitelist to allow clients on localhost to connect
Info:HTTP server: Using non-threaded HTTPS server
Info:HTTP server: Using whitelist: localhost,linux-6
Info:Complete Factorization: Factoring 20661737101620948750403387736232069405095546936743001323587382700965294317739373888507990620402977459520293147376439021762663467654586317641910117589
Info:HTTP server: serving at https://linux-6:39727 (0.0.0.0)
Info:HTTP server: For debugging purposes, the URL above can be accessed if the server.only_registered=False parameter is added
Info:HTTP server: You can start additional cado-nfs-client.py scripts with parameters: --server=https://linux-6:39727 --certsha1=7ff23668a3ca75443f94182615be4aa5dffcc42a
Info:HTTP server: If you want to start additional clients, remember to add their hosts to server.whitelist
Info:Client Launcher: Starting client id localhost on host localhost
Info:Client Launcher: Running clients: localhost (Host localhost, PID 13521)
Info:Polynomial Selection (size optimized): Skipping this phase, as we will import the final polynomial
Info:Polynomial Selection (root optimized): Starting
Info:Polynomial Selection (root optimized): Importing file parameters/polynomials/snfs.poly
Warning:Polynomial Selection (root optimized): Polynomial in file parameters/polynomials/snfs.poly has no Murphy E value
...
Info:Linear Algebra: mksol: N=19600 ; ETA (N=20400): Sat Dec  4 13:39:28 2021 [0.049 s/iter]
Info:Linear Algebra: mksol: N=19800 ; ETA (N=20400): Sat Dec  4 13:39:29 2021 [0.049 s/iter]
Info:Linear Algebra: mksol: N=20000 ; ETA (N=20400): Sat Dec  4 13:39:29 2021 [0.049 s/iter]
Info:Linear Algebra: mksol: N=20200 ; ETA (N=20400): Sat Dec  4 13:39:28 2021 [0.049 s/iter]
Info:Linear Algebra: mksol: N=20400 ; ETA (N=20400): Sat Dec  4 13:39:29 2021 [0.049 s/iter]
Info:Quadratic Characters: Starting
Info:Square Root: Starting
Info:Square Root: Creating file of (a,b) values
Info:Square Root: finished
Info:Square Root: Factors: 5742020175720945829887251925795971321674515878113169314056869690471 3598339342133492417966470991251901654159188501812122820240474289311485078878293859
Info:Generate Factor Base: Total cpu/real time for makefb: 0.64/0.0997026
Info:Generate Free Relations: Total cpu/real time for freerel: 47.6/3.23953
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 15784691
Info:Lattice Sieving: Average J: 1884.33 for 2393483 special-q, max bucket fill: 0.986576
Info:Lattice Sieving: Total CPU time: 496053s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 44.76/30.1462
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 29.699999999999996s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 339.66/141.518
Info:Filtering - Singleton removal: Total cpu/real time for purge: 293.24/116.146
Info:Filtering - Merging: Total cpu/real time for merge: 315.2/239.125
Info:Filtering - Merging: Total cpu/real time for replay: 44.14/34.0309
Info:Linear Algebra: Total cpu/real time for bwc: 40117/0.00029254
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 1814.32
Info:Linear Algebra: Lingen CPU time 395.36, WCT time 37.88
Info:Linear Algebra: Mksol: WCT time 995.17
Info:Quadratic Characters: Total cpu/real time for characters: 49.89/11.5831
Info:Square Root: Total cpu/real time for sqrt: 888.58/134.067
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 538194/55569.8
Info:root: Cleaning up computation data in /tmp/cado.5_80czsd
5742020175720945829887251925795971321674515878113169314056869690471 3598339342133492417966470991251901654159188501812122820240474289311485078878293859

42426358816717577907097510208267530293987036629857000029672620787891626827901844869619775575797077662046062608554455756122958607936876206464076339168543194153459632835537<170>

6585781545675928004543864850174939424881067284828549187919230061<64>
6442114504173577519606046186622908657485568105023085809109925323168762166363607898945488314616078671654517<106>

P106 = 6442114504173577519606046186622908657485568105023085809109925323168762166363607898945488314616078671654517
P64 = 6585781545675928004543864850174939424881067284828549187919230061

717299567501737252016608322699282128712684082427865148990336928176197413209625186796741727502568742936659823527124431211939554052210057217669966288857097622236311440660377<171>

106697333787101911514739520078669529645437699<45>
6722750625924711573759357884535060144210122660799747504503071911456908006120718918125013182690169794312684050893797782459996723<127>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 717299567501737252016608322699282128712684082427865148990336928176197413209625186796741727502568742936659823527124431211939554052210057217669966288857097622236311440660377 (171 digits)
Using B1=40030000, B2=192393080896, polynomial Dickson(12), sigma=1:2269534214
Step 1 took 95815ms
Step 2 took 31156ms
********** Factor found in step 2: 106697333787101911514739520078669529645437699
Found prime factor of 45 digits: 106697333787101911514739520078669529645437699
Prime cofactor 6722750625924711573759357884535060144210122660799747504503071911456908006120718918125013182690169794312684050893797782459996723 has 127 digits

2448451860521353152474380213204141218785659566057513264347684843848860048352046554835573539703630342897942786258856889616838744849267<133>

96171415660115071967261182566068419681095383588364788731<56>
25459247362798189538425205202532312714750092418389662465418157429763650663657<77>

CADO

STA:Mon 06 Dec 2021 23:56:51 AEDT (2,448,451,860,521,353,152,474,380,213,204,141,218,785,659,566,057,513,264,347,684,843,848,860,048,352,046,554,835,573,539,703,630,342,897,942,786,258,856,889,616,838,744,849,267 - C133)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 2448451860521353152474380213204141218785659566057513264347684843848860048352046554835573539703630342897942786258856889616838744849267 2>&1 | tee -a log113

Debug:root: Looking for parameter file for c133 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c135
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c135
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.ltlgfeen
Info:Database: Opened connection to database /tmp/cado.ltlgfeen/c135.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 2448451860521353152474380213204141218785659566057513264347684843848860048352046554835
573539703630342897942786258856889616838744849267
Debug:root: Root parameter dictionary:
N = 2448451860521353152474380213204141218785659566057513264347684843848860048352046554835573539703630342897942786258856889616838744849267
lim0 = 3341873
lim1 = 16407032
lpb0 = 27
lpb1 = 28
name = c135
...
n: 2448451860521353152474380213204141218785659566057513264347684843848860048352046554835573539703630342897942786258856889616838744849267
skew: 219127.725
c0: 4029819044441336351517985938825
c1: 106262292004006479699679043
c2: -487193903850299334207
c3: -516477219055935
c4: 4656911934
c5: 16740
Y0: -42759407114547478111095362
Y1: 3608612336954037433
# MurphyE (Bf=1.64e+07,Bg=3.34e+06,area=5.51e+14) = 5.13e-10
# f(x) = 16740*x^5+4656911934*x^4-516477219055935*x^3-487193903850299334207*x^2+106262292004006479699679043*x+4029819044441336351517985938825
# g(x) = 3608612336954037433*x-42759407114547478111095362
...
Info:Square Root: finished
Info:Square Root: Factors: 25459247362798189538425205202532312714750092418389662465418157429763650663657 96171415660115071967261182566068419681095383588364788731
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 915.69/130.806
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 35600.4
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 36409/38.760/47.588/52.450/0.998
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 36409/38.380/42.455/48.140/1.168
Info:Polynomial Selection (size optimized): Total time: 9042.39
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2525.06
Info:Polynomial Selection (root optimized): Rootsieve time: 2524.18
Info:Generate Factor Base: Total cpu/real time for makefb: 21.59/1.99551
Info:Generate Free Relations: Total cpu/real time for freerel: 305.03/20.167
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 19114212
Info:Lattice Sieving: Average J: 3790.89 for 563024 special-q, max bucket fill: 0.720024
Info:Lattice Sieving: Total CPU time: 432330s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 50.85/64.2028
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 64.1s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 304.7/93.0452
Info:Filtering - Singleton removal: Total cpu/real time for purge: 245.48/84.8246
Info:Filtering - Merging: Total cpu/real time for merge: 465.25/384.536
Info:Filtering - Merging: Total cpu/real time for replay: 36.98/28.6848
Info:Linear Algebra: Total cpu/real time for bwc: 30198.6/0.000262976
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 1267.73
Info:Linear Algebra: Lingen CPU time 258.36, WCT time 25.44
Info:Linear Algebra: Mksol: WCT time 682.58
Info:Quadratic Characters: Total cpu/real time for characters: 37.55/9.06437
Info:Square Root: Total cpu/real time for sqrt: 915.69/130.806
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 476479/31728
Info:root: Cleaning up computation data in /tmp/cado.ltlgfeen
25459247362798189538425205202532312714750092418389662465418157429763650663657 96171415660115071967261182566068419681095383588364788731

END:Tue 07 Dec 2021 08:45:40 AEDT (2,448,451,860,521,353,152,474,380,213,204,141,218,785,659,566,057,513,264,347,684,843,848,860,048,352,046,554,835,573,539,703,630,342,897,942,786,258,856,889,616,838,744,849,267 - C133)

9474806780259424577745568841122852259634313557293981885489840268677634417281833515101722794869159522338408066051<112>

136521302995679175431808489531448784153890177<45>
69401672650013434386905402600788913620467503560330941045565984293763<68>

9474806780259424577745568841122852259634313557293981885489840268677634417281833515101722794869159522338408066051=136521302995679175431808489531448784153890177*69401672650013434386905402600788913620467503560330941045565984293763

cado polynomial
n: 9474806780259424577745568841122852259634313557293981885489840268677634417281833515101722794869159522338408066051
skew: 34768.105
c0: -112339025758713875634052540
c1: 15271671327157621538817
c2: -59239319538411432
c3: -23809215157047
c4: -482268920
c5: 2640
Y0: -5912130557319096164661
Y1: 201991181275069
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 1.231e-06
# f(x) = 2640*x^5-482268920*x^4-23809215157047*x^3-59239319538411432*x^2+15271671327157621538817*x-112339025758713875634052540
# g(x) = 201991181275069*x-5912130557319096164661

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: 69401672650013434386905402600788913620467503560330941045565984293763 136521302995679175431808489531448784153890177
Info:Square Root: Total cpu/real time for sqrt: 168.8/45.5406
Info:Generate Factor Base: Total cpu/real time for makefb: 2.35/0.632767
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 23.13/24.3257
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 23.4s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 288.57
Info:Polynomial Selection (root optimized): Rootsieve time: 287.57
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 101.56/109.106
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 78.8s
Info:Filtering - Merging: Merged matrix has 320885 rows and total weight 49909532 (155.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 51.03/15.1147
Info:Filtering - Merging: Total cpu/real time for replay: 10.64/8.62427
Info:Linear Algebra: Total cpu/real time for bwc: 1373.47/354.96
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 839.28, WCT time 214.58, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (10112 iterations)
Info:Linear Algebra: Lingen CPU time 46.89, WCT time 11.94
Info:Linear Algebra: Mksol: CPU time 460.37,  WCT time 117.73, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (5120 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 62.68/16.4577
Info:Quadratic Characters: Total cpu/real time for characters: 11.77/4.57469
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): 11658/32.730/39.924/47.450/1.132
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 9176/31.960/35.333/40.260/0.911
Info:Polynomial Selection (size optimized): Total time: 686.96
Info:Square Root: Total cpu/real time for sqrt: 168.8/45.5406
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 5804054
Info:Lattice Sieving: Average J: 1903.86 for 141626 special-q, max bucket fill -bkmult 1.0,1s:1.303860
Info:Lattice Sieving: Total time: 12819.9s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 79.33/89.8591
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 26119.6/7314.14
Info:root: Cleaning up computation data in /tmp/cado.j7izzrid
69401672650013434386905402600788913620467503560330941045565984293763 136521302995679175431808489531448784153890177

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

2465440297267725480484524963031951198152959473220043015291401124211122407540316630505334181940239680861648888032365896609538869<127>

29055376147874462696576638237283054277785423497<47>
84853153671806242437066647007796034068116394209802835088979547391205433690956877<80>

2465440297267725480484524963031951198152959473220043015291401124211122407540316630505334181940239680861648888032365896609538869=29055376147874462696576638237283054277785423497*84853153671806242437066647007796034068116394209802835088979547391205433690956877

cado polynomial
n: 2465440297267725480484524963031951198152959473220043015291401124211122407540316630505334181940239680861648888032365896609538869
skew: 81323.099
c0: 401657909963700122577576186532
c1: -18256862801537231117694424
c2: -1202206966172036571
c3: 2212338349499245
c4: 28201794200
c5: 147000
Y0: -2018094583513432081226895
Y1: 21792825645446119
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.196e-07
# f(x) = 147000*x^5+28201794200*x^4+2212338349499245*x^3-1202206966172036571*x^2-18256862801537231117694424*x+401657909963700122577576186532
# g(x) = 21792825645446119*x-2018094583513432081226895

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: 29055376147874462696576638237283054277785423497 84853153671806242437066647007796034068116394209802835088979547391205433690956877
Info:Square Root: Total cpu/real time for sqrt: 555.31/148.725
Info:Generate Free Relations: Total cpu/real time for freerel: 126.6/33.3638
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 201.47/199.146
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 162.2s
Info:Quadratic Characters: Total cpu/real time for characters: 30.05/12.4659
Info:Square Root: Total cpu/real time for sqrt: 555.31/148.725
Info:Generate Factor Base: Total cpu/real time for makefb: 8.59/2.28938
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 12223699
Info:Lattice Sieving: Average J: 3807.53 for 250715 special-q, max bucket fill -bkmult 1.0,1s:1.217350
Info:Lattice Sieving: Total time: 73472.9s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 139.34/160.332
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2716.75
Info:Polynomial Selection (root optimized): Rootsieve time: 2714.29
Info:Filtering - Merging: Merged matrix has 809260 rows and total weight 138173642 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 169.93/48.7333
Info:Filtering - Merging: Total cpu/real time for replay: 30.36/25.8677
Info:Linear Algebra: Total cpu/real time for bwc: 9864.14/2537.02
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 6202.56, WCT time 1587.48, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (25344 iterations)
Info:Linear Algebra: Lingen CPU time 144.78, WCT time 36.86
Info:Linear Algebra: Mksol: CPU time 3389.28,  WCT time 866.21, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12800 iterations)
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): 20240/37.490/45.057/49.240/0.846
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16085/36.390/40.436/45.850/1.028
Info:Polynomial Selection (size optimized): Total time: 1948.45
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 52.56/59.6646
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 59.1s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 152516/9195.86
29055376147874462696576638237283054277785423497 84853153671806242437066647007796034068116394209802835088979547391205433690956877

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-89-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

2339898953572634803245447573160861680617052935355847151709098518211265767875966261978694947899198182702861681797909419783472430692301685697987538870331128650804974595277703958277<178>

24191912921861148320185750678707145686031132912750529<53>
55398834221063180083856809649152060445196317133301331677<56>
1745927746160317044436416185138770214458650102693963305206739421381769<70>

Number: n
N=2339898953572634803245447573160861680617052935355847151709098518211265767875966261978694947899198182702861681797909419783472430692301685697987538870331128650804974595277703958277  ( 178 digits)
SNFS difficulty: 191 digits.
Divisors found:

Sun Dec 12 23:22:41 2021  found factor: 1745927746160317044436416185138770214458650102693963305206739421381769
Sun Dec 12 23:23:49 2021  p53 factor: 24191912921861148320185750678707145686031132912750529
Sun Dec 12 23:23:49 2021  p56 factor: 55398834221063180083856809649152060445196317133301331677
Sun Dec 12 23:23:49 2021  p70 factor: 1745927746160317044436416185138770214458650102693963305206739421381769
Sun Dec 12 23:23:49 2021  elapsed time 00:32:54 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.319).
Factorization parameters were as follows:
#
# N = 83x10^190-2 = 92(190)
#
n: 2339898953572634803245447573160861680617052935355847151709098518211265767875966261978694947899198182702861681797909419783472430692301685697987538870331128650804974595277703958277
m: 100000000000000000000000000000000000000
deg: 5
c5: 83
c0: -2
skew: 0.47
# Murphy_E = 3.815e-11
type: snfs
lss: 1
rlim: 11100000
alim: 11100000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 11100000/11100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 18350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4245382 hash collisions in 33488540 relations (31194328 unique)
Msieve: matrix is 1136401 x 1136626 (391.6 MB)

Sieving start time : 2021/12/12 19:09:50
Sieving end time  : 2021/12/12 22:50:14

Total sieving time: 3hrs 40min 24secs.

Total relation processing time: 0hrs 22min 13sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 17sec.

Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,11100000,11100000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118230] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5020K rodata, 2736K init, 4964K bss, 487280K reserved, 0K cma-reserved)
[    0.153572] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.15 BogoMIPS (lpj=12798304)
[    0.152049] smpboot: Total of 16 processors activated (102386.43 BogoMIPS)

783767572222981510063748713553669487777567114936281862768196120740791403579675749031041032995070817226806518305336081349439014010166094642073324822139071093533863020937414101<174>

16202048288040772207194872142550301053029268412238791179816802054579791762948451<80>
48374597969906332557422819306722850969121462155092404637607457156781187905078770181420984098151<95>

Number: n
N=783767572222981510063748713553669487777567114936281862768196120740791403579675749031041032995070817226806518305336081349439014010166094642073324822139071093533863020937414101  ( 174 digits)
SNFS difficulty: 192 digits.
Divisors found:

Mon Dec 13 13:36:06 2021  p80 factor: 16202048288040772207194872142550301053029268412238791179816802054579791762948451
Mon Dec 13 13:36:06 2021  p95 factor: 48374597969906332557422819306722850969121462155092404637607457156781187905078770181420984098151
Mon Dec 13 13:36:06 2021  elapsed time 00:42:47 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.330).
Factorization parameters were as follows:
#
# N = 83x10^191-2 = 92(191)
#
n: 783767572222981510063748713553669487777567114936281862768196120740791403579675749031041032995070817226806518305336081349439014010166094642073324822139071093533863020937414101
m: 100000000000000000000000000000000000000
deg: 5
c5: 415
c0: -1
skew: 0.30
# Murphy_E = 2.99e-11
type: snfs
lss: 1
rlim: 11400000
alim: 11400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11400000/11400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 18500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4902193 hash collisions in 39218952 relations (35719382 unique)
Msieve: matrix is 1323815 x 1324041 (450.8 MB)

Sieving start time : 2021/12/13 07:13:04
Sieving end time  : 2021/12/13 12:52:34

Total sieving time: 5hrs 39min 30secs.

Total relation processing time: 0hrs 30min 50sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 28sec.

Prototype def-par.txt line would be:
snfs,192,5,0,0,0,0,0,0,0,0,11400000,11400000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118230] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5020K rodata, 2736K init, 4964K bss, 487280K reserved, 0K cma-reserved)
[    0.153572] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.15 BogoMIPS (lpj=12798304)
[    0.152049] smpboot: Total of 16 processors activated (102386.43 BogoMIPS)

584300521367370807059930170747205977269950171278321151540060430150421183389178383443119755130935692166577945955294408178160183957067<132>

3472522970659520663164187781986868269792023898603<49>
168263975876996787181191879698080268556953052096577005813772464327894150572081433889<84>

584300521367370807059930170747205977269950171278321151540060430150421183389178383443119755130935692166577945955294408178160183957067=3472522970659520663164187781986868269792023898603*168263975876996787181191879698080268556953052096577005813772464327894150572081433889

cado polynomial
n: 584300521367370807059930170747205977269950171278321151540060430150421183389178383443119755130935692166577945955294408178160183957067
skew: 90035.634
c0: -840672066513680428678312899160
c1: -825003467000880436228222
c2: 435119854851373393187
c3: -2197301159415527
c4: 3351230876
c5: 157920
Y0: -27166367461225815946435551
Y1: 300741410344803937
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 3.980e-07
# f(x) = 157920*x^5+3351230876*x^4-2197301159415527*x^3+435119854851373393187*x^2-825003467000880436228222*x-840672066513680428678312899160
# g(x) = 300741410344803937*x-27166367461225815946435551

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: 3472522970659520663164187781986868269792023898603 168263975876996787181191879698080268556953052096577005813772464327894150572081433889
Info:Square Root: Total cpu/real time for sqrt: 778.93/234.719
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 429.37/416.563
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 350.5s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 302.71/335.303
Info:Generate Free Relations: Total cpu/real time for freerel: 252.57/64.0377
Info:Linear Algebra: Total cpu/real time for bwc: 58172.7/14963.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 37258.87, WCT time 9534.25, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (58880 iterations)
Info:Linear Algebra: Lingen CPU time 373.45, WCT time 94.93
Info:Linear Algebra: Mksol: CPU time 20189.98,  WCT time 5193.74, iteration CPU time 0.17, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (29440 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25040545
Info:Lattice Sieving: Average J: 7730.96 for 85984 special-q, max bucket fill -bkmult 1.0,1s:1.071930
Info:Lattice Sieving: Total time: 116527s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5809.57
Info:Polynomial Selection (root optimized): Rootsieve time: 5807.05
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 107.67/126.697
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 126.3s
Info:Filtering - Merging: Merged matrix has 1876907 rows and total weight 320146387 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 476.88/134.022
Info:Filtering - Merging: Total cpu/real time for replay: 75.86/64.1337
Info:Quadratic Characters: Total cpu/real time for characters: 72.72/30.9405
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): 38842/39.820/47.079/50.800/0.847
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30656/37.630/42.368/47.910/1.089
Info:Polynomial Selection (size optimized): Total time: 4913.56
Info:Square Root: Total cpu/real time for sqrt: 778.93/234.719
Info:Generate Factor Base: Total cpu/real time for makefb: 38.97/10.3402
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 290556/77823.8
Info:root: Cleaning up computation data in /tmp/cado.hfhkj4a0
3472522970659520663164187781986868269792023898603 168263975876996787181191879698080268556953052096577005813772464327894150572081433889

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

41329004348759908730669649615860595381868711707835738970382805409466669653909563398310545824749333188417202918489978979941969584451350388496228027<146>

9919441434885273979277468561055199381977924137<46>
4166464878094006375532733009866530547977235300854911488750837827835872657252507750451024071162043971<100>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 41329004348759908730669649615860595381868711707835738970382805409466669653909563398310545824749333188417202918489978979941969584451350388496228027 (146 digits)
Using B1=35130000, B2=192388936756, polynomial Dickson(12), sigma=1:883446305
Step 1 took 70734ms
Step 2 took 27231ms
********** Factor found in step 2: 9919441434885273979277468561055199381977924137
Found prime factor of 46 digits: 9919441434885273979277468561055199381977924137
Prime cofactor 4166464878094006375532733009866530547977235300854911488750837827835872657252507750451024071162043971 has 100 digits

73732749647221555807297079918813253724985318794375639315468706529329032844578648339085709893442042391035108376438687639260124455390849685588322891168815469043253895593459<170>

1432003114193251184974027050617201677336153732639997<52>
51489238337837301298703683186784058245537247103202942796754960834433782745191365924879155256040959511988529807856828847<119>

73732749647221555807297079918813253724985318794375639315468706529329032844578648339085709893442042391035108376438687639260124455390849685588322891168815469043253895593459=1432003114193251184974027050617201677336153732639997*51489238337837301298703683186784058245537247103202942796754960834433782745191365924879155256040959511988529807856828847

cado polynomial
n: 73732749647221555807297079918813253724985318794375639315468706529329032844578648339085709893442042391035108376438687639260124455390849685588322891168815469043253895593459
skew: 0.47
type: snfs
c0: -2
c5: 83
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 83*x^5-2
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 13400000
tasks.lim1 = 13400000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 51489238337837301298703683186784058245537247103202942796754960834433782745191365924879155256040959511988529807856828847 1432003114193251184974027050617201677336153732639997
Info:Square Root: Total cpu/real time for sqrt: 647.57/205.291
Info:Generate Factor Base: Total cpu/real time for makefb: 5.73/2.69772
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 118.34/136.617
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 135.99999999999997s
Info:Generate Free Relations: Total cpu/real time for freerel: 117.61/31.8017
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 520.48/526.223
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 426.09999999999997s
Info:Filtering - Merging: Merged matrix has 2420343 rows and total weight 412166204 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 674.04/185.892
Info:Filtering - Merging: Total cpu/real time for replay: 93.3/82.2538
Info:Quadratic Characters: Total cpu/real time for characters: 83.25/36.0137
Info:Linear Algebra: Total cpu/real time for bwc: 101812/26098.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 65182.41, WCT time 16670.02, iteration CPU time 0.21, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (75776 iterations)
Info:Linear Algebra: Lingen CPU time 518.57, WCT time 131.39
Info:Linear Algebra: Mksol: CPU time 35257.64,  WCT time 9014.36, iteration CPU time 0.23, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (37888 iterations)
Info:Square Root: Total cpu/real time for sqrt: 647.57/205.291
Info:Filtering - Singleton removal: Total cpu/real time for purge: 416.25/479.661
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 28219995
Info:Lattice Sieving: Average J: 1895.25 for 2786612 special-q, max bucket fill -bkmult 1.0,1s:1.124010
Info:Lattice Sieving: Total time: 636127s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.29484e+06/345875
Info:root: Cleaning up computation data in /tmp/cado.wtcshtqp
51489238337837301298703683186784058245537247103202942796754960834433782745191365924879155256040959511988529807856828847 1432003114193251184974027050617201677336153732639997

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

366075437804371522283229300612360226495426080039469108968809799100764537714466544673584581918275688283780579777490417461551831359380604648247597688974855524130314809821<168>

61314669014853893481608182689253493<35>
5970438129832964934772109330493552749715903440706867084773273941517977395527445127932561169177683926340172033922342065336473418897097<133>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3288575523
Step 1 took 5405ms
Step 2 took 2714ms
********** Factor found in step 2: 61314669014853893481608182689253493
Found prime factor of 35 digits: 61314669014853893481608182689253493
Prime cofactor 5970438129832964934772109330493552749715903440706867084773273941517977395527445127932561169177683926340172033922342065336473418897097 has 133 digits

18808551596139259529413510715324074206073848830111648482307447467764112929953796285399799868581160218322216022243788968596765922851493678564325073556087016334509616977629107371897632464684761<191>

2627728868525068709799539903422906028603959<43>

7157721567635098911883251851407986233802411283994364428320115545649595604848190055747149370457160285366580681734484155925831774789953681856278708079<148>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2024589017
Step 1 took 6391ms
Step 2 took 3047ms
********** Factor found in step 2: 2627728868525068709799539903422906028603959
Found prime factor of 43 digits: 2627728868525068709799539903422906028603959
Composite cofactor 7157721567635098911883251851407986233802411283994364428320115545649595604848190055747149370457160285366580681734484155925831774789953681856278708079 has 148 digits

7157721567635098911883251851407986233802411283994364428320115545649595604848190055747149370457160285366580681734484155925831774789953681856278708079<148>

1537366396666468373348779162522633399809523<43>

4655833237382751605025708519235753167822313085005037309142290314956426397231307179923261523331891226772373<106>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2644185949
Step 1 took 21703ms
Step 2 took 10766ms
********** Factor found in step 2: 1537366396666468373348779162522633399809523
Found prime factor of 43 digits: 1537366396666468373348779162522633399809523
Composite cofactor 4655833237382751605025708519235753167822313085005037309142290314956426397231307179923261523331891226772373 has 106 digits
 

GMP-ECM

4655833237382751605025708519235753167822313085005037309142290314956426397231307179923261523331891226772373<106>

954347591204774354666715603112149626342077306467703<51>
4878550834403216412794426953094447350826210514204983891<55>

N=4655833237382751605025708519235753167822313085005037309142290314956426397231307179923261523331891226772373
  ( 106 digits)
Divisors found:
p51 factor: 954347591204774354666715603112149626342077306467703
p55 factor: 4878550834403216412794426953094447350826210514204983891
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 6.39 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 4655833237382751605025708519235753167822313085005037309142290314956426397231307179923261523331891226772373
skew: 2420218.55
c0: 127293041856794558307323645066
c1: -123559146777898669134377
c2: -47283058809873608
c3: 41090937020
c4: 8400
Y0: -27285295411189469713808319
Y1: 44819928015823
rlim: 2640000
alim: 2640000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
Factor base limits: 2640000/2640000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1320000, 2070001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 269549 x 269775
Total sieving time: 6.29 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
gnfs,105,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2640000,2640000,26,26,52,52,2.5,2.5,150000
total time: 6.39 hours.

297286098422366777942504247044424250568650961701504305855447310110491580316428776270978747376004622003290207173064175738008697071192797189034654856668946522409568524931967<171>

362604088235473892863721732406253681849055155847<48>
61703915310936615378979841517453181071527055797778612061<56>
13287068769616497662238895990325547000947950644774652118420101383901<68>

297286098422366777942504247044424250568650961701504305855447310110491580316428776270978747376004622003290207173064175738008697071192797189034654856668946522409568524931967=362604088235473892863721732406253681849055155847*61703915310936615378979841517453181071527055797778612061*13287068769616497662238895990325547000947950644774652118420101383901

cado polynomial
n: 297286098422366777942504247044424250568650961701504305855447310110491580316428776270978747376004622003290207173064175738008697071192797189034654856668946522409568524931967
skew: 0.47
type: snfs
c0: -2
c5: 83
Y0: 10000000000000000000000000000000000000000
Y1: -1
# f(x) = 83*x^5-2
# g(x) = -x+10000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 16200000
tasks.lim1 = 16200000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.lambda0 = 2.6
tasks.sieve.lambda1 = 2.6
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 362604088235473892863721732406253681849055155847 61703915310936615378979841517453181071527055797778612061 13287068769616497662238895990325547000947950644774652118420101383901
Info:Square Root: Total cpu/real time for sqrt: 1677.04/514.254
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 46353709
Info:Lattice Sieving: Average J: 1895.31 for 3537650 special-q, max bucket fill -bkmult 1.0,1s:1.126300
Info:Lattice Sieving: Total time: 968628s
Info:Generate Factor Base: Total cpu/real time for makefb: 6.75/3.04752
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 195.67/230.138
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 229.70000000000005s
Info:Generate Free Relations: Total cpu/real time for freerel: 233.02/60.5399
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 804.88/794.952
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 653.3000000000001s
Info:Filtering - Merging: Merged matrix has 3199589 rows and total weight 546658012 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 920.23/253.96
Info:Filtering - Merging: Total cpu/real time for replay: 129.2/112
Info:Linear Algebra: Total cpu/real time for bwc: 186415/47694.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 119941.45, WCT time 30589.4, iteration CPU time 0.29, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (100352 iterations)
Info:Linear Algebra: Lingen CPU time 720.58, WCT time 182.9
Info:Linear Algebra: Mksol: CPU time 64507.62,  WCT time 16467.54, iteration CPU time 0.31, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (50176 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 116.02/48.4644
Info:Square Root: Total cpu/real time for sqrt: 1677.04/514.254
Info:Filtering - Singleton removal: Total cpu/real time for purge: 560/658.323
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.01132e+06/534758
Info:root: Cleaning up computation data in /tmp/cado.r38dn1iy
362604088235473892863721732406253681849055155847 61703915310936615378979841517453181071527055797778612061 13287068769616497662238895990325547000947950644774652118420101383901

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

344129147917073177936590965267941605679521345900665051649220608933563296450953368600145670875356425795241181543733917156312279719226542551367020682806871741980307437130640541<174>

990511886202861032776525780760194585562780911<45>
240897719215759993848212742172283864755270762169313071<54>
1442211915947569043676371591724089082079975952838035063492922417911848032061<76>

#
# N = 83x10^202-2 = 92(202)
#
n: 344129147917073177936590965267941605679521345900665051649220608933563296450953368600145670875356425795241181543733917156312279719226542551367020682806871741980307437130640541
m: 10000000000000000000000000000000000000000
deg: 5
c5: 4150
c0: -1
skew: 0.19
# Murphy_E = 1.015e-11
type: snfs
lss: 1
rlim: 17300000
alim: 17300000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6


GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 344129147917073177936590965267941605679521345900665051649220608933563296450953368600145670875356425795241181543733917156312279719226542551367020682806871741980307437130640541 (174 digits)
Using B1=36660000, B2=192390318136, polynomial Dickson(12), sigma=1:1294508764
Step 1 took 101571ms
Step 2 took 34320ms
********** Factor found in step 2: 990511886202861032776525780760194585562780911
Found prime factor of 45 digits: 990511886202861032776525780760194585562780911
Composite cofactor 347425561177560740329315899892793875568262118540416183534285156989665506826219133476060281113017489995095557048312298075554369331 has 129 digits


CADO

STA:Sun 05 Dec 2021 03:00:49 AEDT (347,425,561,177,560,740,329,315,899,892,793,875,568,262,118,540,416,183,534,285,156,989,665,506,826,219,133,476,060,281,113,017,489,995,095,557,048,312,298,075,554,369,331 - C129)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 347425561177560740329315899892793875568262118540416183534285156989665506826219133476060281113017489995095557048312298075554369331 2>&1 | tee -a log112

Debug:root: Looking for parameter file for c129 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c130
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c130
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.e1bno9r8
Info:Database: Opened connection to database /tmp/cado.e1bno9r8/c130.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 3474255611775607403293158998927938755682621185404161835342851569896655068262191334760
60281113017489995095557048312298075554369331
Debug:root: Root parameter dictionary:
N = 347425561177560740329315899892793875568262118540416183534285156989665506826219133476060281113017489995095557048312298075554369331
lim0 = 11872741
lim1 = 45278470
lpb0 = 27
lpb1 = 28
name = c130
...
n: 347425561177560740329315899892793875568262118540416183534285156989665506826219133476060281113017489995095557048312298075554369331
skew: 311909.92
c0: 14363234060962448971643353821750
c1: -39644586312802857673634755
c2: -929301510534789222264
c3: 2522381023891825
c4: 6831256596
c5: -2880
Y0: -17072118765891102946232554
Y1: 13020521495399179
# MurphyE (Bf=4.53e+07,Bg=1.19e+07,area=6.08e+15) = 2.08e-09
# f(x) = -2880*x^5+6831256596*x^4+2522381023891825*x^3-929301510534789222264*x^2-39644586312802857673634755*x+14363234060962448971643353821750
# g(x) = 13020521495399179*x-17072118765891102946232554
...
Info:Square Root: finished
Info:Square Root: Factors: 240897719215759993848212742172283864755270762169313071 1442211915947569043676371591724089082079975952838035063492922417911848032061
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 1461.24/204.501
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): 38966/38.420/45.874/51.060/0.857
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 38966/36.420/41.242/46.680/1.095
Info:Polynomial Selection (size optimized): Total time: 5787.95
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2028.66
Info:Polynomial Selection (root optimized): Rootsieve time: 2027.65
Info:Generate Factor Base: Total cpu/real time for makefb: 60.22/5.43814
Info:Generate Free Relations: Total cpu/real time for freerel: 305.66/20.5273
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 19277280
Info:Lattice Sieving: Average J: 7966.4 for 66431 special-q, max bucket fill: 0.625265
Info:Lattice Sieving: Total CPU time: 222050s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 50.36/69.8793
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 69.8s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 329.19/103.762
Info:Filtering - Singleton removal: Total cpu/real time for purge: 208.02/81.77
Info:Filtering - Merging: Total cpu/real time for merge: 898.53/788.363
Info:Filtering - Merging: Total cpu/real time for replay: 72.67/60.8768
Info:Linear Algebra: Total cpu/real time for bwc: 52140.2/0.000324011
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 2287.07
Info:Linear Algebra: Lingen CPU time 336.5, WCT time 33.09
Info:Linear Algebra: Mksol: WCT time 1247.71
Info:Quadratic Characters: Total cpu/real time for characters: 56.26/13.3127
Info:Square Root: Total cpu/real time for sqrt: 1461.24/204.501
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 285449/20855.2
Info:root: Cleaning up computation data in /tmp/cado.e1bno9r8
240897719215759993848212742172283864755270762169313071 1442211915947569043676371591724089082079975952838035063492922417911848032061

END:Sun 05 Dec 2021 08:48:26 AEDT (347,425,561,177,560,740,329,315,899,892,793,875,568,262,118,540,416,183,534,285,156,989,665,506,826,219,133,476,060,281,113,017,489,995,095,557,048,312,298,075,554,369,331 - C129)

30679473865466990401257965571693465204407308268464659786170096339230751552626793414635797119362819246335338119918378389675157961714828635883552709718243444773786258431<167>

187270626796275487318723441527751853644159<42>

163824270737567456975697588567716168644386943279687995894068519687258215962143970347371287149303110133624464432911152961179009<126>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3151852113
Step 1 took 6450ms
Step 2 took 3235ms
********** Factor found in step 2: 187270626796275487318723441527751853644159
Found prime factor of 42 digits: 187270626796275487318723441527751853644159
Composite cofactor 163824270737567456975697588567716168644386943279687995894068519687258215962143970347371287149303110133624464432911152961179009 has 126 digits

163824270737567456975697588567716168644386943279687995894068519687258215962143970347371287149303110133624464432911152961179009<126>

2201978634821407903072835135706542298986219005849798247<55>
74398664976535737624193036226035428740925019867600576038853533081996247<71>

163824270737567456975697588567716168644386943279687995894068519687258215962143970347371287149303110133624464432911152961179009=2201978634821407903072835135706542298986219005849798247*74398664976535737624193036226035428740925019867600576038853533081996247

cado polynomial
n: 163824270737567456975697588567716168644386943279687995894068519687258215962143970347371287149303110133624464432911152961179009
skew: 16357.066
c0: -91069127256324990593871128
c1: -266069591212981311859979
c2: 1336456067193984463
c3: 1484460273782948
c4: 19492005980
c5: -1064880
Y0: -907501018127181054821735
Y1: 11180363327588767
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.383e-07
# f(x) = -1064880*x^5+19492005980*x^4+1484460273782948*x^3+1336456067193984463*x^2-266069591212981311859979*x-91069127256324990593871128
# g(x) = 11180363327588767*x-907501018127181054821735

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: 74398664976535737624193036226035428740925019867600576038853533081996247 2201978634821407903072835135706542298986219005849798247
Info:Square Root: Total cpu/real time for sqrt: 585.49/157.101
Info:Filtering - Singleton removal: Total cpu/real time for purge: 94.75/108.222
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11906381
Info:Lattice Sieving: Average J: 3800.93 for 215218 special-q, max bucket fill -bkmult 1.0,1s:1.199890
Info:Lattice Sieving: Total time: 63238.2s
Info:Linear Algebra: Total cpu/real time for bwc: 9280.64/2385.71
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 5829.15, WCT time 1489.77, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (24832 iterations)
Info:Linear Algebra: Lingen CPU time 145.26, WCT time 36.88
Info:Linear Algebra: Mksol: CPU time 3184.46,  WCT time 814.43, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12544 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 8.53/2.27916
Info:Generate Free Relations: Total cpu/real time for freerel: 126.26/32.5365
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2740.83
Info:Polynomial Selection (root optimized): Rootsieve time: 2738.46
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 50.53/57.4904
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 57.2s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 157.43/146.795
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 123.99999999999999s
Info:Filtering - Merging: Merged matrix has 789707 rows and total weight 134346348 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 156.86/45.1714
Info:Filtering - Merging: Total cpu/real time for replay: 29.56/24.3766
Info:Quadratic Characters: Total cpu/real time for characters: 29.36/11.5807
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): 19943/36.900/44.617/49.290/0.859
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15704/36.590/39.983/45.400/0.973
Info:Polynomial Selection (size optimized): Total time: 1957.79
Info:Square Root: Total cpu/real time for sqrt: 585.49/157.101
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 132859/35968.3
Info:root: Cleaning up computation data in /tmp/cado.8y1hhcwp
74398664976535737624193036226035428740925019867600576038853533081996247 2201978634821407903072835135706542298986219005849798247

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

28060625650933220490347976762613303691370345802836665614047051520956292061534312396012589318448678421149933670611086978424687806578600911<137>

188829255279994970225161304111396217486339389<45>
148603168557356648654713356867166818450928702375395964762835303030332821598224816422642312699<93>

28060625650933220490347976762613303691370345802836665614047051520956292061534312396012589318448678421149933670611086978424687806578600911=188829255279994970225161304111396217486339389*148603168557356648654713356867166818450928702375395964762835303030332821598224816422642312699

cado polynomial
n: 28060625650933220490347976762613303691370345802836665614047051520956292061534312396012589318448678421149933670611086978424687806578600911
skew: 136735.329
c0: 699740799251625284479675820176
c1: 120051129043777151186517595
c2: 4063437248143118468
c3: -5809576658414095
c4: 8508587376
c5: -74880
Y0: -312901071980602898752703931
Y1: 1359026584204475053
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.102e-07
# f(x) = -74880*x^5+8508587376*x^4-5809576658414095*x^3+4063437248143118468*x^2+120051129043777151186517595*x+699740799251625284479675820176
# g(x) = 1359026584204475053*x-312901071980602898752703931

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: 188829255279994970225161304111396217486339389 148603168557356648654713356867166818450928702375395964762835303030332821598224816422642312699
Info:Square Root: Total cpu/real time for sqrt: 1006.98/268.698
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 76.64/87.9698
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 87.8s
Info:Generate Free Relations: Total cpu/real time for freerel: 246.45/62.5473
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): 53824/40.180/49.061/53.670/0.957
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 43573/39.740/43.960/49.710/1.196
Info:Polynomial Selection (size optimized): Total time: 11109.8
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 221.94/196.96
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 175.5s
Info:Generate Factor Base: Total cpu/real time for makefb: 15.23/4.04073
Info:Quadratic Characters: Total cpu/real time for characters: 50.36/21.1181
Info:Square Root: Total cpu/real time for sqrt: 1006.98/268.698
Info:Filtering - Singleton removal: Total cpu/real time for purge: 113.06/130.37
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 7206.63
Info:Polynomial Selection (root optimized): Rootsieve time: 7204.16
Info:Filtering - Merging: Merged matrix has 1476558 rows and total weight 251227921 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 390.71/109.094
Info:Filtering - Merging: Total cpu/real time for replay: 55.79/47.1285
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 17190794
Info:Lattice Sieving: Average J: 3783.52 for 771716 special-q, max bucket fill -bkmult 1.0,1s:1.312360
Info:Lattice Sieving: Total time: 254687s
Info:Linear Algebra: Total cpu/real time for bwc: 34742.8/8920.48
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 22174.46, WCT time 5674.2, iteration CPU time 0.12, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (46336 iterations)
Info:Linear Algebra: Lingen CPU time 288.88, WCT time 73.45
Info:Linear Algebra: Mksol: CPU time 12018.45,  WCT time 3076.4, iteration CPU time 0.12, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (23296 iterations)
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 531574/124925
188829255279994970225161304111396217486339389 148603168557356648654713356867166818450928702375395964762835303030332821598224816422642312699

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

8504296837619913888684819310150582446768151024105735478858646061309131832081656100898204367269560195121319613906466450462344562689807444410966287172094387024719305359<166>

85251432328128756561108898553686279306352485933262294808831527371<65>
99755471613512310596448740493776442188505311273249284907123941792679516310176489383353969203834759629<101>

10/10/24 11:22:59,
10/10/24 11:22:59, ****************************
10/10/24 11:22:59, Starting factorization of 82999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999998
10/10/24 11:22:59, using pretesting plan: normal
10/10/24 11:22:59, no tune info: using qs/gnfs crossover of 95 digits
10/10/24 11:22:59, no tune info: using qs/snfs crossover of 95 digits
10/10/24 11:22:59, ****************************
10/10/24 11:22:59, div: found prime factor = 2
10/10/24 11:22:59, div: found prime factor = 3
10/10/24 11:22:59, div: found prime factor = 3
10/10/24 11:22:59, div: found prime factor = 3
10/10/24 11:22:59, div: found prime factor = 3
10/10/24 11:22:59, div: found prime factor = 71
10/10/24 11:22:59, rho: x^2 + 3, starting 1000 iterations on C205
10/10/24 11:22:59, prp9 = 170159813
10/10/24 11:22:59, rho: x^2 + 3, starting 1000 iterations on C197
10/10/24 11:22:59, rho: x^2 + 2, starting 1000 iterations on C197
10/10/24 11:22:59, rho: x^2 + 1, starting 1000 iterations on C197
10/10/24 11:23:00, nfs: input divides 83*10^207 - 2
10/10/24 11:23:00, nfs: using supplied cofactor: 42407993972804523326678609637014858398278060826774409180437994372123416378201206850037498010174910780295935970907875003824247004217501507124461906923261721568727053935548159695480913510214718166373
10/10/24 11:23:00, nfs: input divides 83*10^207 - 2
10/10/24 11:23:00, nfs: using supplied cofactor: 42407993972804523326678609637014858398278060826774409180437994372123416378201206850037498010174910780295935970907875003824247004217501507124461906923261721568727053935548159695480913510214718166373
10/10/24 11:23:00, pm1: starting B1 = 150K, B2 = gmp-ecm default on C197
10/10/24 11:23:00, nfs: input divides 83*10^207 - 2
10/10/24 11:23:00, nfs: using supplied cofactor: 42407993972804523326678609637014858398278060826774409180437994372123416378201206850037498010174910780295935970907875003824247004217501507124461906923261721568727053935548159695480913510214718166373
10/10/24 11:23:00, current ECM pretesting depth: 0.000000
10/10/24 11:23:00, scheduled 30 curves at B1=2000 toward target pretesting depth of 47.145823
10/10/24 11:23:00, ecm: finished 0 curves using AVX-ECM method on C197 input, B1=2k, B2=200k
10/10/24 11:23:00, prp13 = 8878887782021 (curve=15 stg=2 B1=2000 B2=200000 sigma=1946205259 thread=1 vecpos=7)
10/10/24 11:23:00, nfs: input divides 83*10^207 - 2
10/10/24 11:23:00, nfs: using supplied cofactor: 4776273224071728851249164636771689963555601488909519540222396569284486768417886129772095187118752660609585589763575379585669362078012852907664289816812189944014543909315493843842038113
10/10/24 11:23:00, current ECM pretesting depth: 0.000000
10/10/24 11:23:00, scheduled 30 curves at B1=2000 toward target pretesting depth of 44.034677
10/10/24 11:23:00, ecm: finished 128 curves using AVX-ECM method on C184 input, B1=2k, B2=200k
10/10/24 11:23:00, nfs: input divides 83*10^207 - 2
10/10/24 11:23:00, nfs: using supplied cofactor: 4776273224071728851249164636771689963555601488909519540222396569284486768417886129772095187118752660609585589763575379585669362078012852907664289816812189944014543909315493843842038113
10/10/24 11:23:00, current ECM pretesting depth: 15.758294
10/10/24 11:23:00, scheduled 74 curves at B1=11000 toward target pretesting depth of 44.034677
10/10/24 11:23:01, ecm: finished 0 curves using AVX-ECM method on C184 input, B1=11k, B2=1100k
10/10/24 11:23:01, prp18 = 561630586898523407 (curve=10 stg=2 B1=11000 B2=1100000 sigma=1605878642 thread=1 vecpos=2)
10/10/24 11:23:01, nfs: input divides 83*10^207 - 2
10/10/24 11:23:01, nfs: using supplied cofactor: 8504296837619913888684819310150582446768151024105735478858646061309131832081656100898204367269560195121319613906466450462344562689807444410966287172094387024719305359
10/10/24 11:23:01, current ECM pretesting depth: 15.758294
10/10/24 11:23:01, scheduled 74 curves at B1=11000 toward target pretesting depth of 39.726937
10/10/24 11:23:01, ecm: finished 128 curves using AVX-ECM method on C166 input, B1=11k, B2=1100k
10/10/24 11:23:01, nfs: input divides 83*10^207 - 2
10/10/24 11:23:01, nfs: using supplied cofactor: 8504296837619913888684819310150582446768151024105735478858646061309131832081656100898204367269560195121319613906466450462344562689807444410966287172094387024719305359
10/10/24 11:23:01, current ECM pretesting depth: 20.426864
10/10/24 11:23:01, scheduled 214 curves at B1=50000 toward target pretesting depth of 39.726937
10/10/24 11:23:03, ecm: finished 256 curves using AVX-ECM method on C166 input, B1=50k, B2=5M
10/10/24 11:23:03, nfs: input divides 83*10^207 - 2
10/10/24 11:23:03, nfs: using supplied cofactor: 8504296837619913888684819310150582446768151024105735478858646061309131832081656100898204367269560195121319613906466450462344562689807444410966287172094387024719305359
10/10/24 11:23:03, pm1: starting B1 = 3750K, B2 = gmp-ecm default on C166
10/10/24 11:23:04, nfs: input divides 83*10^207 - 2
10/10/24 11:23:04, nfs: using supplied cofactor: 8504296837619913888684819310150582446768151024105735478858646061309131832081656100898204367269560195121319613906466450462344562689807444410966287172094387024719305359
10/10/24 11:23:04, current ECM pretesting depth: 25.402199
10/10/24 11:23:04, scheduled 430 curves at B1=250000 toward target pretesting depth of 39.726937
10/10/24 11:24:20, nfs: input divides 83*10^207 - 2
10/10/24 11:24:20, nfs: using supplied cofactor: 8504296837619913888684819310150582446768151024105735478858646061309131832081656100898204367269560195121319613906466450462344562689807444410966287172094387024719305359
10/10/24 11:24:22, test: fb generation took 1.8110 seconds
skew: 0.1890
c5: 4150
c0: -1
Y1: -1
Y0: 100000000000000000000000000000000000000000
rlim: 23800000
alim: 23800000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
10/10/24 11:25:19, nfs: parsing special-q from .dat file
10/10/24 11:25:19, test: new best estimated total sieving time = 1 day 9h 12m 44s (with 16 threads)
10/10/24 11:25:21, test: fb generation took 1.7838 seconds
skew: 0.3779
c5: 2075
c0: -16
Y1: -1
Y0: 200000000000000000000000000000000000000000
rlim: 23800000
alim: 23800000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
10/10/24 11:25:42, nfs: parsing special-q from .dat file
10/10/24 11:25:42, test: estimated total sieving time = 1 day 13h 48m 49s (with 16 threads)
10/10/24 11:25:44, test: fb generation took 2.3708 seconds
skew: 0.1700
c6: 41500
c0: -1
Y1: -1
Y0: 10000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
10/10/24 11:25:55, nfs: parsing special-q from .dat file
10/10/24 11:25:55, test: estimated total sieving time = 2 days 1h 55m 21s (with 16 threads)
10/10/24 11:25:55, test: test sieving took 95.03 seconds
10/12/24 06:01:27, nfs: parsing special-q from .dat file
10/12/24 06:01:27, nfs: resuming with filtering
10/12/24 08:04:35, prp101 = 99755471613512310596448740493776442188505311273249284907123941792679516310176489383353969203834759629
10/12/24 08:04:35, prp65 = 85251432328128756561108898553686279306352485933262294808831527371
10/12/24 08:04:35, NFS elapsed time = 7414.1406 seconds.
10/12/24 08:04:35,
10/12/24 08:04:35,

YAFU

52231581748092086105626468974901152600894156175525208147476113313615905532702419089511797675037131123841259774771259206667661760652830756620920636746439904423591941161682707<173>

242859936147499310569439566969525340606005235578170260487703523203778149100179614646285276046289044060043601652244343727576252628743202583044878095077892072991476283<165>

62087805155148633631799941802621693959<38>
3911556150851632110214656658985897997205533611171805984565393260971031080161782989786906456964372565187140749163672070577512237<127>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 242859936147499310569439566969525340606005235578170260487703523203778149100179614646285276046289044060043601652244343727576252628743202583044878095077892072991476283 (165 digits)
Using B1=36030000, B2=192389627446, polynomial Dickson(12), sigma=1:3481782437
Step 1 took 86224ms
Step 2 took 31023ms
********** Factor found in step 2: 62087805155148633631799941802621693959
Found prime factor of 38 digits: 62087805155148633631799941802621693959
Prime cofactor 3911556150851632110214656658985897997205533611171805984565393260971031080161782989786906456964372565187140749163672070577512237 has 127 digits

3807612613271109473907305932859434176237745771299550344629046536543682709157764332730356757338201296543633147846304484170124932273101422299640681343871971<154>

1797395246274415396798668164314506679<37>
2118405854896639851608477356297352794545725345406061493391933424233900280335314007822868627414712247947521104774679349<118>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 3807612613271109473907305932859434176237745771299550344629046536543682709157764332730356757338201296543633147846304484170124932273101422299640681343871971 (154 digits)
Using B1=35610000, B2=192388936756, polynomial Dickson(12), sigma=1:2073053073
Step 1 took 71950ms
Step 2 took 27163ms
********** Factor found in step 2: 1797395246274415396798668164314506679
Found prime factor of 37 digits: 1797395246274415396798668164314506679
Prime cofactor 2118405854896639851608477356297352794545725345406061493391933424233900280335314007822868627414712247947521104774679349 has 118 digits

169816363615031902211395646256510728740211452809167116185441311870016060160488490594985079740881549025445579373416972885618807288552784647728069200163709158841611909<165>

1446407686708150824130163614884117841685227649739852424522412649984678708746060974420879535559397981141792345814761676468483614726023738868163260866251890616042564927228284186543610622477998683964183000295175213<211>

9057046057008236893350618268452250683378977466829586516048874531491922624078944600523325854161100062567250398904288836108784861990989251262541467013861180877265938094714087924592006503372950291<193>

1180417946836368046558560030110274485244493<43>
7672745133435135045259449444309356793420232525567320856782036240661349213307493881523791049650057190573874603389521923390887337756324943338275127345887<151>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 9057046057008236893350618268452250683378977466829586516048874531491922624078944600523325854161100062567250398904288836108784861990989251262541467013861180877265938094714087924592006503372950291 (193 digits)
Using B1=40140000, B2=192393771586, polynomial Dickson(12), sigma=1:1781841374
Step 1 took 138248ms
********** Factor found in step 1: 1180417946836368046558560030110274485244493
Found prime factor of 43 digits: 1180417946836368046558560030110274485244493
Prime cofactor 7672745133435135045259449444309356793420232525567320856782036240661349213307493881523791049650057190573874603389521923390887337756324943338275127345887 has 151 digits

618915964079963880238100866613699011089514612968940401726206627795862829848778091057788924799814421463420492644080514964455861557423997245525604734432000377846202179465334409<174>

1364855935356327436655691528003504847<37>
453466148365601274965959438046508963716762092349499230930636692148245741595616429684592294736177238259386775238099366090245300022392407847<138>

Run 721 out of 1000:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:390644563
Step 1 took 10163ms
Step 2 took 4682ms
********** Factor found in step 2: 1364855935356327436655691528003504847
Found prime factor of 37 digits: 1364855935356327436655691528003504847
Prime cofactor 453466148365601274965959438046508963716762092349499230930636692148245741595616429684592294736177238259386775238099366090245300022392407847 has 138 digits

211375938394030052364186135747254253335700388824809941205908925974544799610779832722860512611091095082862801258939600203055800245752417<135>

8420466208014390977598887044358984861<37>
25102640776926065519707680806259826541282210423782359842119363451967174780465848844215727491886997<98>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1812955212
Step 1 took 4906ms
Step 2 took 3282ms
********** Factor found in step 2: 8420466208014390977598887044358984861
Found prime factor of 37 digits: 8420466208014390977598887044358984861
Prime cofactor 25102640776926065519707680806259826541282210423782359842119363451967174780465848844215727491886997 has 98 digits
 

GMP-ECM

2087367438431896349157636431458523023869266335737972609893889813956746703283403260074946110655177250138094714139292367908203020411906859164428558299421740415109188861<166>

759056294220790612617737164265430271<36>

2749950766925243405806731632227985127879743068543287239102062216028386331686626533054988355731614554604325431247724033534946380291<130>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:149127312
Step 1 took 8099ms
Step 2 took 4166ms
********** Factor found in step 2: 759056294220790612617737164265430271
Found prime factor of 36 digits: 759056294220790612617737164265430271
Composite cofactor 2749950766925243405806731632227985127879743068543287239102062216028386331686626533054988355731614554604325431247724033534946380291 has 130 digits

2749950766925243405806731632227985127879743068543287239102062216028386331686626533054988355731614554604325431247724033534946380291<130>

2971579435685592340945587481382547983631907<43>
925417215471739341438844867781532411811056810777230680583764540927967978363043806116513<87>

CADO

STA:Thu 02 Dec 2021 14:02:41 AEDT (2,749,950,766,925,243,405,806,731,632,227,985,127,879,743,068,543,287,239,102,062,216,028,386,331,686,626,533,054,988,355,731,614,554,604,325,431,247,724,033,534,946,380,291 - C130)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 2749950766925243405806731632227985127879743068543287239102062216028386331686626533054988355731614554604325431247724033534946380291 2>&1 | tee -a log111

Debug:root: Looking for parameter file for c130 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c130
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c130
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.rq2fkxus
Info:Database: Opened connection to database /tmp/cado.rq2fkxus/c130.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 2749950766925243405806731632227985127879743068543287239102062216028386331686626533054
988355731614554604325431247724033534946380291
Debug:root: Root parameter dictionary:
N = 2749950766925243405806731632227985127879743068543287239102062216028386331686626533054988355731614554604325431247724033534946380291
lim0 = 11872741
lim1 = 45278470
lpb0 = 27
lpb1 = 28
name = c130
...
n: 2749950766925243405806731632227985127879743068543287239102062216028386331686626533054988355731614554604325431247724033534946380291
skew: 188585.586
c0: -6035885301866869831056459694800
c1: 174031623292103645039967292
c2: 1064308584795357904320
c3: -5912415464636557
c4: -9186378180
c5: 50400
Y0: -15409369727476435905939719
Y1: 4201882251922561279
# MurphyE (Bf=4.53e+07,Bg=1.19e+07,area=6.08e+15) = 2.04e-09
# f(x) = 50400*x^5-9186378180*x^4-5912415464636557*x^3+1064308584795357904320*x^2+174031623292103645039967292*x-6035885301866869831056459694800
# g(x) = 4201882251922561279*x-15409369727476435905939719
...
Info:Square Root: finished
Info:Square Root: Factors: 925417215471739341438844867781532411811056810777230680583764540927967978363043806116513 2971579435685592340945587481382547983631907
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 1449.08/201.299
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): 38796/38.440/46.212/50.480/0.857
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 38796/37.770/41.587/47.020/1.138
Info:Polynomial Selection (size optimized): Total time: 5816.49
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2160.89
Info:Polynomial Selection (root optimized): Rootsieve time: 2159.99
Info:Generate Factor Base: Total cpu/real time for makefb: 60.48/5.56079
Info:Generate Free Relations: Total cpu/real time for freerel: 301.08/20.1271
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 19169031
Info:Lattice Sieving: Average J: 7869.07 for 63315 special-q, max bucket fill: 0.60496
Info:Lattice Sieving: Total CPU time: 213686s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 50.65/70.6474
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 70.6s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 327.61/102.068
Info:Filtering - Singleton removal: Total cpu/real time for purge: 204.15/83.4268
Info:Filtering - Merging: Total cpu/real time for merge: 937.13/855.046
Info:Filtering - Merging: Total cpu/real time for replay: 65.48/54.9676
Info:Linear Algebra: Total cpu/real time for bwc: 47316.9/0.000334263
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 2099.32
Info:Linear Algebra: Lingen CPU time 325.05, WCT time 31.95
Info:Linear Algebra: Mksol: WCT time 1126.77
Info:Quadratic Characters: Total cpu/real time for characters: 53.7/12.5553
Info:Square Root: Total cpu/real time for sqrt: 1449.08/201.299
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 272430/19726.5
Info:root: Cleaning up computation data in /tmp/cado.rq2fkxus
925417215471739341438844867781532411811056810777230680583764540927967978363043806116513 2971579435685592340945587481382547983631907

END:Thu 02 Dec 2021 19:31:28 AEDT (2,749,950,766,925,243,405,806,731,632,227,985,127,879,743,068,543,287,239,102,062,216,028,386,331,686,626,533,054,988,355,731,614,554,604,325,431,247,724,033,534,946,380,291 - C130)

30926663005180140681367310516091832436956871104125703616757058380458248056826860794794979268582517740135846398147691551894590885288331182868173402175650206758561400311622153234129222257149991<191>

2580563217194037120873770148541520099923065177909937<52>
422504032298967552317817286510880168855640260454399341<54>
28365320908241676642241316226889598047465721784833731092555483042581528391035413130323<86>

Number: 92222_222
N = 30926663005180140681367310516091832436956871104125703616757058380458248056826860794794979268582517740135846398147691551894590885288331182868173402175650206758561400311622153234129222257149991 (191 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=2580563217194037120873770148541520099923065177909937 (pp52)
r2=422504032298967552317817286510880168855640260454399341 (pp54)
r3=28365320908241676642241316226889598047465721784833731092555483042581528391035413130323 (pp86)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 112.59 hours.
Factorization parameters were as follows:
n: 30926663005180140681367310516091832436956871104125703616757058380458248056826860794794979268582517740135846398147691551894590885288331182868173402175650206758561400311622153234129222257149991
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 4150
c0: -1
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 30088025
Relations: 11180622 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 20.44 hours.
Total relation processing time: 0.47 hours.
Pruned matrix : 9376481 x 9376706
Matrix solve time: 90.75 hours.
time per square root: 0.91 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 112.59 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

208276319934426760650609173249577069222417997834070742171139915634084852801579130097215482018899248340585524823335022270558175113171142769917514548093234922488527099883767780621145726592870375909497082724757660939<213>

234502251760769897923046580880426861735831294160120659396943673765166043676706311750433265729159502909478168643247580991340527054652881425790711575829830081798602927150266770556932680545590787130523<198>

1147472415292311588312720121841798918158237136999549400837914206150712487705257431951434215078748331012456793170200204810797955156877649078194689089507914511382191669912903894573924527345662402001506526126967497591<214>

10038111665927491009188089836371483766799032934094355213485420183393004827427589617416863095562809626288284452466782073397255056995683839140504338607521458051298191682423865980183666867989<188>

2106046601888733041440349122643822303053813246038462906708682042633792446417733988247853976573758547694622430756359486829012918286863541932935660986785851649975866735866790674750434746378957356717656846044491782282281596497<223>

90526458692872018824591134283013223791240794184369577429434475149250877008478006197341541159218219280839151681734011246250548998456274552264351577038089183019725759<164>

4306068828214487307257338235694815770535799930274107781988522283238613816524696542040997549069358605590859488906256411208212330293139418872754657792491<151>

488713593765552114686226642058982739823451<42>
8811027323868985790438842594746161961725884647104221163219833813429287250936248893684402913876593469900581041<109>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3071744921
Step 1 took 21406ms
Step 2 took 10750ms
********** Factor found in step 2: 488713593765552114686226642058982739823451
Found prime factor of 42 digits: 488713593765552114686226642058982739823451
Prime cofactor 8811027323868985790438842594746161961725884647104221163219833813429287250936248893684402913876593469900581041 has 109 digits
 

GMP-ECM

8762271273176950212232744403723686148586760106252241369174730466793642897226793695172910821088784562320612660652660052484433013963176936801070086988625874993859930361385613057327868355795520671146956409<202>

3602628209371776662105636821552028356442967858917173647247343879087774760142876378591523228692930533912731684845087979962560826897930074410837168884001970873863270555175117716827769165139406067469831902611301589421<214>

957745829904585896123288635140279239139691211746495524615642857024525978184992599785144572450397885082982552699437920492440344673998707781587776528104017949749325745707163425540733328356812964233787777479520749<210>

3294447823093462643561004047102852224556835140012748263867597221260736732381680674227053006838497352200587590213897042266395557340801975539839329390443443786468869<163>

104314806615157649575107527881090685220080405672361630660798281101<66>
31581785270881737027240831825741932030565361747904420304544364014487763373162207792663623221882969<98>

Number: 92222_240
N = 3294447823093462643561004047102852224556835140012748263867597221260736732381680674227053006838497352200587590213897042266395557340801975539839329390443443786468869 (163 digits)
SNFS difficulty: 242 digits.
Divisors found:
r1=104314806615157649575107527881090685220080405672361630660798281101 (pp66)
r2=31581785270881737027240831825741932030565361747904420304544364014487763373162207792663623221882969 (pp98)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 88.94 hours.
Factorization parameters were as follows:
n: 3294447823093462643561004047102852224556835140012748263867597221260736732381680674227053006838497352200587590213897042266395557340801975539839329390443443786468869 
m: 1000000000000000000000000000000000000000000000000000000000000
deg: 4
c4: 83
c0: -2
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: 66450264
Relations: 14367530 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 20.15 hours.
Total relation processing time: 0.66 hours.
Pruned matrix : 11496643 x 11496868
Matrix solve time: 67.42 hours.
time per square root: 0.72 hours.
Prototype def-par.txt line would be: snfs,242,4,0,0,0,0,0,0,0,0,500000000,150000000,29,29,58,58,2.8,2.8,100000
total time: 88.94 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 16, speed: 3.79GHz

GGNFS, NFS_factory, Msieve

119256023571934524520685682181297876377236543296460944030574808825208651924492531391752349260192641437595957106423341700636255124472267097033338813755405668802780865542265380809893917190134962283622637303603<207>

3646104493223745728811488944356507028064887848406965386352937047237204628846429384482999681608894374280254717109016788788646869258270904491538461286943685707048442975464368417833<178>

443473481199733896907255840810972101263<39>
8221696781868213200732753930981534336101233052283057333728790914322002639846599801891281780116134248993583897470801000656198429080897448391<139>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 3646104493223745728811488944356507028064887848406965386352937047237204628846429384482999681608894374280254717109016788788646869258270904491538461286943685707048442975464368417833 (178 digits)
Using B1=36300000, B2=192389627446, polynomial Dickson(12), sigma=1:3138386030
Step 1 took 100453ms
Step 2 took 33617ms
********** Factor found in step 2: 443473481199733896907255840810972101263
Found prime factor of 39 digits: 443473481199733896907255840810972101263
Prime cofactor 8221696781868213200732753930981534336101233052283057333728790914322002639846599801891281780116134248993583897470801000656198429080897448391 has 139 digits

140529062750123527438731141175244898679212855635894118391258498233131545071327255476643413047125020805801729870862519470901897482123087598314270454533753052012271106804522031<174>

368622395786948832473841783537659516420197472535805556510307202729891089959510413759932389300340503177633839611751550876662798415135478014864191055342523901049997391<165>

246178479881104998857271959947580921701452560800563477372078304197910470306413452302139712033908690495437964734758635148187884457602462523656221968607951150971911064806127963694514921961533424102897087621327805828290772946134195181<231>

361407715341358770151477117725116680351228483048755129799956990650318470460214912133897339407311885010689958424459291254751964998695882809591769839974983163447606483341185443308463567<183>

19612191416984777927792959583970397103291109157630421358699576486972827838753654455737229918942224533238055371036231589573570980153587422477091567469402693853230095553824670571334071913948897376981150288592579603646139973<221>

18229571861547432792795681101643957799847032686472522390444376736735601902334379918033171728181614261936036260041148207141524743450200392056723039518749418642314463337379394609572588497213678863667960577740594705528828758049<224>

108399454228686708565044759687740065400933234789888105320958445081082264641250607394950004104225560942951992645743460706048220334177435013767794340420367636555871251420092343583101235115094053729488504728895914653182306471<222>

47849976269878716014563316648942494718226675399662621321839447882945800749340713543872107974782039488196474822995184805341421812567651872359407345193872280864074190663651296285369409732133529194917055530741<206>

47649168178340449429070161603652184016949<41>

1004214304241087392608970486061727425507943660094035039460168616576516186660552782785996993410156350273391233678438968474202366766923845494130170036205849339559631809<166>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 47849976269878716014563316648942494718226675399662621321839447882945800749340713543872107974782039488196474822995184805341421812567651872359407345193872280864074190663651296285369409732133529194917055530741 (206 digits)
Using B1=37590000, B2=192391008826, polynomial Dickson(12), sigma=1:3030047242
Step 1 took 123220ms
Step 2 took 39880ms
********** Factor found in step 2: 47649168178340449429070161603652184016949
Found prime factor of 41 digits: 47649168178340449429070161603652184016949
Composite cofactor 1004214304241087392608970486061727425507943660094035039460168616576516186660552782785996993410156350273391233678438968474202366766923845494130170036205849339559631809 has 166 digits

11308182187755915513083114590034474805145904907306822408396492193590154380284838333028345700262240974660946975629382703763559997846009014289687077637393031336769400928118307779986231760294464423181559549251553393<212>

884521044992610746881144231894681547337822961383652296646150925168759379784544357816289091197246262025298858292320760536192058164939051726191546697363651208417058025062098767325858848037421456539366637290632779<210>

14536441164279600843655312060513607590559267453076518670094220009706129863666764778938995347787369033824000847089539596866051525244019597725451301288772241231972572996021007005703579083006955151382754482496368827671577769427<224>

5149796655166215152763141232387469312838440205217064452752540405852180566592155722925767267609027726679426339173524550993245648672213538503318347888269004458156757690095657526260743395509687067<193>

3419799996772061905247514503472319770502447<43>
8838766754292408604283791008346930094832299983<46>
170371795285735652890299682371411864669494368969917349297352639440953524835165328029445722274909597994267<105>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 5149796655166215152763141232387469312838440205217064452752540405852180566592155722925767267609027726679426339173524550993245648672213538503318347888269004458156757690095657526260743395509687067 (193 digits)
Using B1=35500000, B2=192388936756, polynomial Dickson(12), sigma=1:1863143074
Step 1 took 113630ms
Step 2 took 38561ms
********** Factor found in step 2: 3419799996772061905247514503472319770502447
Found prime factor of 43 digits: 3419799996772061905247514503472319770502447
Composite cofactor 1505876560040672398068090568593891836796247708817201570907690001253699648810223562460727286547394877511943307163602080914765188973619241508263258197461 has 151 digits

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 1505876560040672398068090568593891836796247708817201570907690001253699648810223562460727286547394877511943307163602080914765188973619241508263258197461 (151 digits)
Using B1=43430000, B2=240490660426, polynomial Dickson(12), sigma=1:738553165
Step 1 took 83884ms
Step 2 took 31893ms
********** Factor found in step 2: 8838766754292408604283791008346930094832299983
Found prime factor of 46 digits: 8838766754292408604283791008346930094832299983
Prime cofactor 170371795285735652890299682371411864669494368969917349297352639440953524835165328029445722274909597994267 has 105 digits

2009799221152058075932670463306446165684066282406106897293625127992681813797443353823976588207885734004519169440044819417422821406663705892979113811271499357881952115904027693912496818326899359817392526978110357791287366407794368337557<235>

483904872524857035316519122961800147481<39>

4153294036213325170423092994034982927596647115521223109200166802908358799574062209977188369958166758607126059387658372202928081058628811011597638794400009760041967302636341011996731030271646379997<196>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3535934617
Step 1 took 11500ms
Step 2 took 4656ms
********** Factor found in step 2: 483904872524857035316519122961800147481
Found prime factor of 39 digits: 483904872524857035316519122961800147481
Composite cofactor 4153294036213325170423092994034982927596647115521223109200166802908358799574062209977188369958166758607126059387658372202928081058628811011597638794400009760041967302636341011996731030271646379997 has 196 digits

GMP-ECM

832779483714401200430840916687101385595599514794807355317888204714564918024519254283389883874394157927354457378723544284020565209606833558272105818064810456468813699260544380753459457983920587600171861846838382347035605288235931<228>

1399757202500435872587677409823433311042115560790849867442486986870469696354447719572736492512484544108641342401021203491747296307407782587309796480058558016203919921219371065208721388612841590465655339726823856567263971397408544830997008705366620881789091<256>

3625355305543085291033401982195520949273180960783733658516244213101762207918644636898378113729966672108929723938595652868597422539770954445700489896208445465853249258995825108291886397297060044858808032232652025804016815044947171<229>

62096048377478658627650159567188883719432032036434593777711143239884727420900138931778595231321591077331209912000003430697283760192275174214173137867018131784688321993171982501969923366892827979857990001214916003<212>

80704594773023565043293820486392447009077541541842643292757772165745857107257795219674184922030465050866451976860747197762072542422553229867658627923980209789154688883077239783309356796421935290831143914103236534886838079388068214061<233>

3547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547<268>

247247362911058828666345398361250541228099753066428799416076982904661013340572867668369793443374517452255145427658855961131520914278410167160400150681301739783424504766779101635564757477431224521019031232174828181<213>

25365716716386367729460852810019272433584801297371270884020775185112417473977401811218789541261640190449161414115096236921629406607351797387570830748634107986229120163622851897878937244238725697068220959801321953557496705544461636675988059<239>

4895230364697043728991522468010311549626743656594497933264232001999081856018835899009853278566623685447061195497846442072381657757865825507272224653635961423969654039019947529035435798455900128308434851113108391050526305756144962594563967916576675965980086768835817<265>

363070500520556271404732723056662477395543731217573275053699623271143321411514596111501121748974329241455749680908826305370047773788175133175352520633474820947655256591696794468299364837741273826806958636988307705658274443653126864374101141402449452029477607955170491<267>

189524982270474515474621866639926016059745084523787584906455649861953679242155705867681988257613917382634164644753644816929263599544238177647276263889439367625043764115612316196120457133727479807582528551916886428533111578326270657467821844541952444708389265295322442193<270>

1345371752896585202798408747574926375872146044156335725544063758222549751278269753081836053344607820143672433705223015736868257746042024699795979326544866062453474478096158084673860894027828728058298024935685138570607239753995822174221609615015105522057623<256>

7317638870629229719815224703983499521<37>
183853258774014802986980335930289003810187687970702875891689672361991032985124579579562621126333334013862345686362687762460373841756605747176603614601141058124520822632112855345326520645329687516378462567696146118451863<219>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1854254035
Step 1 took 12702ms
Step 2 took 4840ms
********** Factor found in step 2: 7317638870629229719815224703983499521
Found prime factor of 37 digits: 7317638870629229719815224703983499521
Prime cofactor 183853258774014802986980335930289003810187687970702875891689672361991032985124579579562621126333334013862345686362687762460373841756605747176603614601141058124520822632112855345326520645329687516378462567696146118451863 has 219 digits