# p64 - 1 = 2^4 * 19 * 47 * 5791 * 4184334347 * 1932328917490229129 * 14013749168456066457701633249
# p64 + 1 = 2 * 3 * 294157 * 154258333 * 34435604157927959730931534363193549387267448742043
# p127 - 1 = 2^3 * 5 * 43 * 6517859182433 * 599655501956657417935327256046958680659578996652383076379319156763745597967784887069814967278974131942988709969
# p127 + 1 = 2 * 3 * 17 * 23743 * 784513 * 2118366571 * 1670314378953377457869914614920327095384324747699738815607260643820426590609195675288652903145093706521139
# siever: 14e
# sieving range (not exhausted) 5M - 71M
# gnfs-lasieve4i14e -v -f 5000000 -c 66000000 -o out -r poly
# msieve -i ini -s out -l log -nf fb -nc "target_density=80" -t 32
# ini:
# 63026330400313135539742790154239175277903353880088382458511131520940297482746932010039043155723308072711305349377137461027980594344835671821685339354112008498799840178437299235785735725327177
# fb:
# N 63026330400313135539742790154239175277903353880088382458511131520940297482746932010039043155723308072711305349377137461027980594344835671821685339354112008498799840178437299235785735725327177
# R0 -10000000000000000000000000000000000000000
# R1 1
# A6 1
# A0 70
# poly:
# n: 63026330400313135539742790154239175277903353880088382458511131520940297482746932010039043155723308072711305349377137461027980594344835671821685339354112008498799840178437299235785735725327177
# m: 10000000000000000000000000000000000000000
# c6: 1
# c0: 70
# skew: 2.03
# rlim: 70000000
# alim: 70000000
# lpbr: 30
# lpba: 30
# mfbr: 61
# mfba: 61
# rlambda: 2.7
# alambda: 2.7
Sat Oct 24 16:46:20 2020
Sat Oct 24 16:46:20 2020
Sat Oct 24 16:46:20 2020 Msieve v. 1.54 (SVN 1018)
Sat Oct 24 16:46:20 2020 random seeds: 1d199114 49db6bcb
Sat Oct 24 16:46:20 2020 factoring 63026330400313135539742790154239175277903353880088382458511131520940297482746932010039043155723308072711305349377137461027980594344835671821685339354112008498799840178437299235785735725327177 (191 digits)
Sat Oct 24 16:46:22 2020 searching for 15-digit factors
Sat Oct 24 16:46:23 2020 commencing number field sieve (191-digit input)
Sat Oct 24 16:46:23 2020 R0: -10000000000000000000000000000000000000000
Sat Oct 24 16:46:23 2020 R1: 1
Sat Oct 24 16:46:23 2020 A0: 70
Sat Oct 24 16:46:23 2020 A1: 0
Sat Oct 24 16:46:23 2020 A2: 0
Sat Oct 24 16:46:23 2020 A3: 0
Sat Oct 24 16:46:23 2020 A4: 0
Sat Oct 24 16:46:23 2020 A5: 0
Sat Oct 24 16:46:23 2020 A6: 1
Sat Oct 24 16:46:23 2020 skew 1.00, size 7.085e-012, alpha 0.808, combined = 4.752e-013 rroots = 0
Sat Oct 24 16:46:23 2020
Sat Oct 24 16:46:23 2020 commencing relation filtering
Sat Oct 24 16:46:23 2020 setting target matrix density to 80.0
Sat Oct 24 16:46:23 2020 estimated available RAM is 16307.6 MB
Sat Oct 24 16:46:23 2020 commencing duplicate removal, pass 1
Sat Oct 24 17:03:31 2020 error -9 reading relation 85576497
Sat Oct 24 17:04:13 2020 error -15 reading relation 89104374
Sat Oct 24 17:04:21 2020 error -9 reading relation 89604107
Sat Oct 24 17:04:22 2020 error -5 reading relation 89758497
Sat Oct 24 17:07:13 2020 skipped 3 relations with b > 2^32
Sat Oct 24 17:07:13 2020 skipped 2 relations with composite factors
Sat Oct 24 17:07:13 2020 found 22901962 hash collisions in 104134457 relations
Sat Oct 24 17:07:53 2020 added 1219300 free relations
Sat Oct 24 17:07:53 2020 commencing duplicate removal, pass 2
Sat Oct 24 17:10:35 2020 found 23882653 duplicates and 81471104 unique relations
Sat Oct 24 17:10:35 2020 memory use: 660.8 MB
Sat Oct 24 17:10:35 2020 reading ideals above 71106560
Sat Oct 24 17:10:35 2020 commencing singleton removal, initial pass
Sat Oct 24 17:25:37 2020 memory use: 1506.0 MB
Sat Oct 24 17:25:37 2020 reading all ideals from disk
Sat Oct 24 17:25:38 2020 memory use: 1426.6 MB
Sat Oct 24 17:25:44 2020 commencing in-memory singleton removal
Sat Oct 24 17:25:47 2020 begin with 81471104 relations and 77998074 unique ideals
Sat Oct 24 17:26:31 2020 reduce to 39628639 relations and 30383278 ideals in 20 passes
Sat Oct 24 17:26:31 2020 max relations containing the same ideal: 25
Sat Oct 24 17:26:34 2020 reading ideals above 720000
Sat Oct 24 17:26:35 2020 commencing singleton removal, initial pass
Sat Oct 24 17:38:52 2020 memory use: 753.0 MB
Sat Oct 24 17:38:52 2020 reading all ideals from disk
Sat Oct 24 17:38:54 2020 memory use: 1503.1 MB
Sat Oct 24 17:39:01 2020 keeping 38525451 ideals with weight <= 200, target excess is 211812
Sat Oct 24 17:39:05 2020 commencing in-memory singleton removal
Sat Oct 24 17:39:09 2020 begin with 39628648 relations and 38525451 unique ideals
Sat Oct 24 17:39:53 2020 reduce to 39617426 relations and 38514192 ideals in 11 passes
Sat Oct 24 17:39:53 2020 max relations containing the same ideal: 200
Sat Oct 24 17:40:25 2020 removing 3831351 relations and 3431351 ideals in 400000 cliques
Sat Oct 24 17:40:27 2020 commencing in-memory singleton removal
Sat Oct 24 17:40:32 2020 begin with 35786075 relations and 38514192 unique ideals
Sat Oct 24 17:41:25 2020 reduce to 35443931 relations and 34735588 ideals in 12 passes
Sat Oct 24 17:41:25 2020 max relations containing the same ideal: 193
Sat Oct 24 17:41:46 2020 removing 2867711 relations and 2467711 ideals in 400000 cliques
Sat Oct 24 17:41:47 2020 commencing in-memory singleton removal
Sat Oct 24 17:41:51 2020 begin with 32576220 relations and 34735588 unique ideals
Sat Oct 24 17:42:27 2020 reduce to 32364748 relations and 32053668 ideals in 11 passes
Sat Oct 24 17:42:27 2020 max relations containing the same ideal: 183
Sat Oct 24 17:42:46 2020 removing 592346 relations and 526968 ideals in 65378 cliques
Sat Oct 24 17:42:46 2020 commencing in-memory singleton removal
Sat Oct 24 17:42:50 2020 begin with 31772402 relations and 32053668 unique ideals
Sat Oct 24 17:43:12 2020 reduce to 31763544 relations and 31517817 ideals in 7 passes
Sat Oct 24 17:43:12 2020 max relations containing the same ideal: 181
Sat Oct 24 17:43:21 2020 relations with 0 large ideals: 8126
Sat Oct 24 17:43:21 2020 relations with 1 large ideals: 814
Sat Oct 24 17:43:21 2020 relations with 2 large ideals: 10595
Sat Oct 24 17:43:21 2020 relations with 3 large ideals: 111835
Sat Oct 24 17:43:21 2020 relations with 4 large ideals: 679115
Sat Oct 24 17:43:21 2020 relations with 5 large ideals: 2490191
Sat Oct 24 17:43:21 2020 relations with 6 large ideals: 5742743
Sat Oct 24 17:43:21 2020 relations with 7+ large ideals: 22720125
Sat Oct 24 17:43:21 2020 commencing 2-way merge
Sat Oct 24 17:43:49 2020 reduce to 19292434 relation sets and 19046707 unique ideals
Sat Oct 24 17:43:49 2020 commencing full merge
Sat Oct 24 17:51:10 2020 memory use: 2339.0 MB
Sat Oct 24 17:51:15 2020 found 9686412 cycles, need 9660907
Sat Oct 24 17:51:15 2020 weight of 9660907 cycles is about 773039752 (80.02/cycle)
Sat Oct 24 17:51:15 2020 distribution of cycle lengths:
Sat Oct 24 17:51:15 2020 1 relations: 1296785
Sat Oct 24 17:51:15 2020 2 relations: 1160780
Sat Oct 24 17:51:15 2020 3 relations: 1086233
Sat Oct 24 17:51:15 2020 4 relations: 956319
Sat Oct 24 17:51:15 2020 5 relations: 852058
Sat Oct 24 17:51:15 2020 6 relations: 714514
Sat Oct 24 17:51:15 2020 7 relations: 621082
Sat Oct 24 17:51:15 2020 8 relations: 528635
Sat Oct 24 17:51:15 2020 9 relations: 445378
Sat Oct 24 17:51:15 2020 10+ relations: 1999123
Sat Oct 24 17:51:15 2020 heaviest cycle: 28 relations
Sat Oct 24 17:51:23 2020 commencing cycle optimization
Sat Oct 24 17:51:37 2020 start with 58896643 relations
Sat Oct 24 17:53:39 2020 pruned 1394703 relations
Sat Oct 24 17:53:39 2020 memory use: 1902.4 MB
Sat Oct 24 17:53:39 2020 distribution of cycle lengths:
Sat Oct 24 17:53:39 2020 1 relations: 1296785
Sat Oct 24 17:53:39 2020 2 relations: 1184396
Sat Oct 24 17:53:39 2020 3 relations: 1121979
Sat Oct 24 17:53:39 2020 4 relations: 977513
Sat Oct 24 17:53:39 2020 5 relations: 869614
Sat Oct 24 17:53:39 2020 6 relations: 722875
Sat Oct 24 17:53:39 2020 7 relations: 625471
Sat Oct 24 17:53:39 2020 8 relations: 527054
Sat Oct 24 17:53:39 2020 9 relations: 441026
Sat Oct 24 17:53:39 2020 10+ relations: 1894194
Sat Oct 24 17:53:39 2020 heaviest cycle: 27 relations
Sat Oct 24 17:53:57 2020 RelProcTime: 4054
Sat Oct 24 17:53:57 2020
Sat Oct 24 17:53:57 2020 commencing linear algebra
Sat Oct 24 17:54:00 2020 read 9660907 cycles
Sat Oct 24 17:54:19 2020 cycles contain 31531160 unique relations
Sat Oct 24 17:59:40 2020 read 31531160 relations
Sat Oct 24 18:00:55 2020 using 20 quadratic characters above 4294917295
Sat Oct 24 18:03:31 2020 building initial matrix
Sat Oct 24 18:10:32 2020 memory use: 4014.8 MB
Sat Oct 24 18:10:52 2020 read 9660907 cycles
Sat Oct 24 18:10:56 2020 matrix is 9660730 x 9660907 (3268.7 MB) with weight 966552930 (100.05/col)
Sat Oct 24 18:10:56 2020 sparse part has weight 750596708 (77.69/col)
Sat Oct 24 18:13:06 2020 filtering completed in 2 passes
Sat Oct 24 18:13:08 2020 matrix is 9657827 x 9658003 (3268.5 MB) with weight 966467442 (100.07/col)
Sat Oct 24 18:13:08 2020 sparse part has weight 750576353 (77.72/col)
Sat Oct 24 18:14:24 2020 matrix starts at (0, 0)
Sat Oct 24 18:14:28 2020 matrix is 9657827 x 9658003 (3268.5 MB) with weight 966467442 (100.07/col)
Sat Oct 24 18:14:28 2020 sparse part has weight 750576353 (77.72/col)
Sat Oct 24 18:14:28 2020 saving the first 48 matrix rows for later
Sat Oct 24 18:14:33 2020 matrix includes 64 packed rows
Sat Oct 24 18:14:37 2020 matrix is 9657779 x 9658003 (3148.5 MB) with weight 794179300 (82.23/col)
Sat Oct 24 18:14:37 2020 sparse part has weight 728780019 (75.46/col)
Sat Oct 24 18:14:37 2020 using block size 8192 and superblock size 1966080 for processor cache size 20480 kB
Sat Oct 24 18:15:33 2020 commencing Lanczos iteration (32 threads)
Sat Oct 24 18:15:33 2020 memory use: 2624.0 MB
Sat Oct 24 18:16:02 2020 linear algebra at 0.0%, ETA 47h42m
Sat Oct 24 18:16:12 2020 checkpointing every 200000 dimensions
Mon Oct 26 07:29:34 2020 lanczos halted after 152730 iterations (dim = 9657777)
Mon Oct 26 07:29:50 2020 recovered 36 nontrivial dependencies
Mon Oct 26 07:29:53 2020 BLanczosTime: 138956
Mon Oct 26 07:29:53 2020
Mon Oct 26 07:29:53 2020 commencing square root phase
Mon Oct 26 07:29:53 2020 handling dependencies 1 to 64
Mon Oct 26 07:29:53 2020 reading relations for dependency 1
Mon Oct 26 07:29:56 2020 read 4827970 cycles
Mon Oct 26 07:30:06 2020 cycles contain 15766230 unique relations
Mon Oct 26 07:35:18 2020 read 15766230 relations
Mon Oct 26 07:36:55 2020 multiplying 15766230 relations
Mon Oct 26 07:51:09 2020 multiply complete, coefficients have about 396.76 million bits
Mon Oct 26 07:51:11 2020 initial square root is modulo 13154671
Mon Oct 26 08:05:15 2020 sqrtTime: 2122
Mon Oct 26 08:05:15 2020 p64 factor: 9375334651810151700379339996049646490428209523427082433961764497
Mon Oct 26 08:05:15 2020 p127 factor: 6722568605926431281768517067942433942261558527894369603630635430976513573924787669731269154869016089481840932231164598452272441
Mon Oct 26 08:05:15 2020 elapsed time 40:18:55