Thu Jan 23 12:48:35 2025 Thu Jan 23 12:48:35 2025 Thu Jan 23 12:48:35 2025 Msieve v. 1.54 (SVN Unversioned directory) Thu Jan 23 12:48:35 2025 random seeds: 00c873ea a917b8f0 Thu Jan 23 12:48:35 2025 MPI process 0 of 1 Thu Jan 23 12:48:35 2025 Using 46 OpenMP threads Thu Jan 23 12:48:35 2025 factoring 37904479071031122747135120747739848137936506828518605007249445113738881709507417618758869255819133838044114422720541327083128215056451580483927637041953151353289396519184440088887577572287050369835356823758644138330836934865595455831426327497107 (245 digits) Thu Jan 23 12:48:36 2025 no P-1/P+1/ECM available, skipping Thu Jan 23 12:48:36 2025 commencing number field sieve (245-digit input) Thu Jan 23 12:48:36 2025 R0: 1000000000000000000000000000000000000000000 Thu Jan 23 12:48:36 2025 R1: -1 Thu Jan 23 12:48:36 2025 A0: -61 Thu Jan 23 12:48:36 2025 A1: 0 Thu Jan 23 12:48:36 2025 A2: 0 Thu Jan 23 12:48:36 2025 A3: 0 Thu Jan 23 12:48:36 2025 A4: 0 Thu Jan 23 12:48:36 2025 A5: 0 Thu Jan 23 12:48:36 2025 A6: 340 Thu Jan 23 12:48:36 2025 skew 1.00, size 7.451e-13, alpha 1.097, combined = 9.693e-14 rroots = 2 Thu Jan 23 12:48:36 2025 Thu Jan 23 12:48:36 2025 commencing relation filtering Thu Jan 23 12:48:36 2025 setting target matrix density to 110.0 Thu Jan 23 12:48:36 2025 estimated available RAM is 192069.2 MB Thu Jan 23 12:48:36 2025 commencing duplicate removal, pass 1 Thu Jan 23 12:52:32 2025 skipped 936 relations with b > 2^32 Thu Jan 23 12:52:32 2025 skipped 3 relations with composite factors Thu Jan 23 12:52:32 2025 skipped 336 malformed relations Thu Jan 23 12:52:32 2025 found 11620991 hash collisions in 323886958 relations Thu Jan 23 12:52:48 2025 added 1219336 free relations Thu Jan 23 12:52:48 2025 commencing duplicate removal, pass 2 Thu Jan 23 12:54:07 2025 found 0 duplicates and 325106294 unique relations Thu Jan 23 12:54:07 2025 memory use: 1044.8 MB Thu Jan 23 12:54:07 2025 reading ideals above 720000 Thu Jan 23 12:54:07 2025 commencing singleton removal, initial pass Thu Jan 23 13:06:07 2025 memory use: 6024.0 MB Thu Jan 23 13:06:07 2025 reading all ideals from disk Thu Jan 23 13:06:17 2025 memory use: 15939.7 MB Thu Jan 23 13:06:52 2025 keeping 312842212 ideals with weight <= 200, target excess is 1705994 Thu Jan 23 13:07:33 2025 commencing in-memory singleton removal Thu Jan 23 13:07:37 2025 begin with 325106294 relations and 312842212 unique ideals Thu Jan 23 13:07:54 2025 reduce to 184155540 relations and 155460312 ideals in 16 passes Thu Jan 23 13:07:54 2025 max relations containing the same ideal: 146 Thu Jan 23 13:08:47 2025 removing 13925417 relations and 11925417 ideals in 2000000 cliques Thu Jan 23 13:08:56 2025 commencing in-memory singleton removal Thu Jan 23 13:08:58 2025 begin with 170230123 relations and 155460312 unique ideals Thu Jan 23 13:09:05 2025 reduce to 169397178 relations and 142689742 ideals in 9 passes Thu Jan 23 13:09:05 2025 max relations containing the same ideal: 139 Thu Jan 23 13:09:49 2025 removing 10493336 relations and 8493336 ideals in 2000000 cliques Thu Jan 23 13:09:57 2025 commencing in-memory singleton removal Thu Jan 23 13:09:58 2025 begin with 158903842 relations and 142689742 unique ideals Thu Jan 23 13:10:05 2025 reduce to 158366276 relations and 133651993 ideals in 9 passes Thu Jan 23 13:10:05 2025 max relations containing the same ideal: 137 Thu Jan 23 13:10:45 2025 removing 9433850 relations and 7433850 ideals in 2000000 cliques Thu Jan 23 13:10:53 2025 commencing in-memory singleton removal Thu Jan 23 13:10:54 2025 begin with 148932426 relations and 133651993 unique ideals Thu Jan 23 13:11:00 2025 reduce to 148463512 relations and 125743397 ideals in 8 passes Thu Jan 23 13:11:00 2025 max relations containing the same ideal: 131 Thu Jan 23 13:11:39 2025 removing 8878222 relations and 6878222 ideals in 2000000 cliques Thu Jan 23 13:11:45 2025 commencing in-memory singleton removal Thu Jan 23 13:11:47 2025 begin with 139585290 relations and 125743397 unique ideals Thu Jan 23 13:11:52 2025 reduce to 139143337 relations and 118417556 ideals in 8 passes Thu Jan 23 13:11:52 2025 max relations containing the same ideal: 125 Thu Jan 23 13:12:29 2025 removing 8525564 relations and 6525564 ideals in 2000000 cliques Thu Jan 23 13:12:35 2025 commencing in-memory singleton removal Thu Jan 23 13:12:37 2025 begin with 130617773 relations and 118417556 unique ideals Thu Jan 23 13:12:42 2025 reduce to 130185809 relations and 111454186 ideals in 8 passes Thu Jan 23 13:12:42 2025 max relations containing the same ideal: 118 Thu Jan 23 13:13:17 2025 removing 8294579 relations and 6294579 ideals in 2000000 cliques Thu Jan 23 13:13:23 2025 commencing in-memory singleton removal Thu Jan 23 13:13:24 2025 begin with 121891230 relations and 111454186 unique ideals Thu Jan 23 13:13:28 2025 reduce to 121458470 relations and 104720972 ideals in 7 passes Thu Jan 23 13:13:28 2025 max relations containing the same ideal: 112 Thu Jan 23 13:14:01 2025 removing 8137492 relations and 6137492 ideals in 2000000 cliques Thu Jan 23 13:14:06 2025 commencing in-memory singleton removal Thu Jan 23 13:14:07 2025 begin with 113320978 relations and 104720972 unique ideals Thu Jan 23 13:14:11 2025 reduce to 112876106 relations and 98131920 ideals in 7 passes Thu Jan 23 13:14:11 2025 max relations containing the same ideal: 109 Thu Jan 23 13:14:41 2025 removing 8036547 relations and 6036547 ideals in 2000000 cliques Thu Jan 23 13:14:46 2025 commencing in-memory singleton removal Thu Jan 23 13:14:48 2025 begin with 104839559 relations and 98131920 unique ideals Thu Jan 23 13:14:51 2025 reduce to 104376414 relations and 91624898 ideals in 7 passes Thu Jan 23 13:14:51 2025 max relations containing the same ideal: 100 Thu Jan 23 13:15:20 2025 removing 7975010 relations and 5975010 ideals in 2000000 cliques Thu Jan 23 13:15:25 2025 commencing in-memory singleton removal Thu Jan 23 13:15:26 2025 begin with 96401404 relations and 91624898 unique ideals Thu Jan 23 13:15:29 2025 reduce to 95912567 relations and 85152951 ideals in 8 passes Thu Jan 23 13:15:29 2025 max relations containing the same ideal: 97 Thu Jan 23 13:15:56 2025 removing 7951446 relations and 5951446 ideals in 2000000 cliques Thu Jan 23 13:16:00 2025 commencing in-memory singleton removal Thu Jan 23 13:16:01 2025 begin with 87961121 relations and 85152951 unique ideals Thu Jan 23 13:16:05 2025 reduce to 87433728 relations and 78664504 ideals in 8 passes Thu Jan 23 13:16:05 2025 max relations containing the same ideal: 91 Thu Jan 23 13:16:29 2025 removing 7955754 relations and 5955754 ideals in 2000000 cliques Thu Jan 23 13:16:34 2025 commencing in-memory singleton removal Thu Jan 23 13:16:35 2025 begin with 79477974 relations and 78664504 unique ideals Thu Jan 23 13:16:38 2025 reduce to 78897357 relations and 72116617 ideals in 8 passes Thu Jan 23 13:16:38 2025 max relations containing the same ideal: 88 Thu Jan 23 13:17:01 2025 removing 8004937 relations and 6004937 ideals in 2000000 cliques Thu Jan 23 13:17:05 2025 commencing in-memory singleton removal Thu Jan 23 13:17:06 2025 begin with 70892420 relations and 72116617 unique ideals Thu Jan 23 13:17:08 2025 reduce to 70241742 relations and 65446810 ideals in 8 passes Thu Jan 23 13:17:08 2025 max relations containing the same ideal: 81 Thu Jan 23 13:17:30 2025 removing 8080034 relations and 6080034 ideals in 2000000 cliques Thu Jan 23 13:17:34 2025 commencing in-memory singleton removal Thu Jan 23 13:17:35 2025 begin with 62161708 relations and 65446810 unique ideals Thu Jan 23 13:17:37 2025 reduce to 61412500 relations and 58599281 ideals in 9 passes Thu Jan 23 13:17:37 2025 max relations containing the same ideal: 76 Thu Jan 23 13:17:56 2025 removing 4118746 relations and 3284481 ideals in 834265 cliques Thu Jan 23 13:17:59 2025 commencing in-memory singleton removal Thu Jan 23 13:18:00 2025 begin with 57293754 relations and 58599281 unique ideals Thu Jan 23 13:18:02 2025 reduce to 57088034 relations and 55106654 ideals in 8 passes Thu Jan 23 13:18:02 2025 max relations containing the same ideal: 69 Thu Jan 23 13:18:30 2025 relations with 0 large ideals: 60237 Thu Jan 23 13:18:30 2025 relations with 1 large ideals: 52404 Thu Jan 23 13:18:30 2025 relations with 2 large ideals: 515133 Thu Jan 23 13:18:30 2025 relations with 3 large ideals: 2815943 Thu Jan 23 13:18:30 2025 relations with 4 large ideals: 8234977 Thu Jan 23 13:18:30 2025 relations with 5 large ideals: 14187235 Thu Jan 23 13:18:30 2025 relations with 6 large ideals: 15053748 Thu Jan 23 13:18:30 2025 relations with 7+ large ideals: 16168357 Thu Jan 23 13:18:30 2025 commencing 2-way merge Thu Jan 23 13:18:56 2025 reduce to 35071951 relation sets and 33090571 unique ideals Thu Jan 23 13:18:56 2025 commencing full merge Thu Jan 23 13:29:28 2025 memory use: 4251.8 MB Thu Jan 23 13:29:31 2025 found 16119127 cycles, need 15928771 Thu Jan 23 13:29:37 2025 weight of 15928771 cycles is about 1752392750 (110.01/cycle) Thu Jan 23 13:29:37 2025 distribution of cycle lengths: Thu Jan 23 13:29:37 2025 1 relations: 1185446 Thu Jan 23 13:29:37 2025 2 relations: 1204954 Thu Jan 23 13:29:37 2025 3 relations: 1229154 Thu Jan 23 13:29:37 2025 4 relations: 1200052 Thu Jan 23 13:29:37 2025 5 relations: 1175738 Thu Jan 23 13:29:37 2025 6 relations: 1139560 Thu Jan 23 13:29:37 2025 7 relations: 1087119 Thu Jan 23 13:29:37 2025 8 relations: 1035997 Thu Jan 23 13:29:37 2025 9 relations: 966618 Thu Jan 23 13:29:37 2025 10+ relations: 5704133 Thu Jan 23 13:29:37 2025 heaviest cycle: 28 relations Thu Jan 23 13:29:44 2025 commencing cycle optimization Thu Jan 23 13:30:14 2025 start with 129390036 relations Thu Jan 23 13:34:27 2025 pruned 4893858 relations Thu Jan 23 13:34:28 2025 memory use: 3652.0 MB Thu Jan 23 13:34:28 2025 distribution of cycle lengths: Thu Jan 23 13:34:28 2025 1 relations: 1185446 Thu Jan 23 13:34:28 2025 2 relations: 1230876 Thu Jan 23 13:34:28 2025 3 relations: 1274122 Thu Jan 23 13:34:28 2025 4 relations: 1241853 Thu Jan 23 13:34:28 2025 5 relations: 1224475 Thu Jan 23 13:34:28 2025 6 relations: 1183584 Thu Jan 23 13:34:28 2025 7 relations: 1132454 Thu Jan 23 13:34:28 2025 8 relations: 1073831 Thu Jan 23 13:34:28 2025 9 relations: 1001367 Thu Jan 23 13:34:28 2025 10+ relations: 5380763 Thu Jan 23 13:34:28 2025 heaviest cycle: 28 relations Thu Jan 23 13:34:55 2025 RelProcTime: 2779 Thu Jan 23 13:34:55 2025 elapsed time 00:46:20 Thu Jan 23 13:35:00 2025 Thu Jan 23 13:35:00 2025 Thu Jan 23 13:35:00 2025 Msieve v. 1.54 (SVN Unversioned directory) Thu Jan 23 13:35:00 2025 random seeds: 51544bda 4495fec3 Thu Jan 23 13:35:00 2025 MPI process 0 of 1 Thu Jan 23 13:35:00 2025 Using 46 OpenMP threads Thu Jan 23 13:35:00 2025 factoring 37904479071031122747135120747739848137936506828518605007249445113738881709507417618758869255819133838044114422720541327083128215056451580483927637041953151353289396519184440088887577572287050369835356823758644138330836934865595455831426327497107 (245 digits) Thu Jan 23 13:35:01 2025 no P-1/P+1/ECM available, skipping Thu Jan 23 13:35:01 2025 commencing number field sieve (245-digit input) Thu Jan 23 13:35:01 2025 R0: 1000000000000000000000000000000000000000000 Thu Jan 23 13:35:01 2025 R1: -1 Thu Jan 23 13:35:01 2025 A0: -61 Thu Jan 23 13:35:01 2025 A1: 0 Thu Jan 23 13:35:01 2025 A2: 0 Thu Jan 23 13:35:01 2025 A3: 0 Thu Jan 23 13:35:01 2025 A4: 0 Thu Jan 23 13:35:01 2025 A5: 0 Thu Jan 23 13:35:01 2025 A6: 340 Thu Jan 23 13:35:01 2025 skew 1.00, size 7.451e-13, alpha 1.097, combined = 9.693e-14 rroots = 2 Thu Jan 23 13:35:01 2025 Thu Jan 23 13:35:01 2025 commencing linear algebra Thu Jan 23 13:35:01 2025 using VBITS=128 Thu Jan 23 13:35:01 2025 stopping after matrix build Thu Jan 23 13:35:01 2025 initialized process (0,0) of 1 x 1 grid Thu Jan 23 13:35:04 2025 read 15928771 cycles Thu Jan 23 13:35:35 2025 cycles contain 55842739 unique relations Thu Jan 23 13:36:34 2025 read 55842739 relations Thu Jan 23 13:36:38 2025 using 20 quadratic characters above 4294917295 Thu Jan 23 13:36:45 2025 building initial matrix Thu Jan 23 13:47:24 2025 memory use: 6912.5 MB Thu Jan 23 13:47:41 2025 read 15928771 cycles Thu Jan 23 13:47:43 2025 matrix is 15928591 x 15928771 (6973.6 MB) with weight 1995446720 (125.27/col) Thu Jan 23 13:47:43 2025 sparse part has weight 1652867657 (103.77/col) Thu Jan 23 13:51:58 2025 filtering completed in 2 passes Thu Jan 23 13:52:00 2025 matrix is 15926352 x 15926531 (6973.4 MB) with weight 1995359800 (125.29/col) Thu Jan 23 13:52:00 2025 sparse part has weight 1652831230 (103.78/col) Thu Jan 23 13:52:46 2025 BLanczosTime: 1065 Thu Jan 23 13:52:46 2025 elapsed time 00:17:46 Thu Jan 23 14:53:41 2025 Thu Jan 23 14:53:41 2025 Thu Jan 23 14:53:41 2025 Msieve v. 1.54 (SVN Unversioned directory) Thu Jan 23 14:53:41 2025 random seeds: 2a5f7ea4 1554e074 Thu Jan 23 14:53:41 2025 MPI process 0 of 1 Thu Jan 23 14:53:41 2025 Using 10 OpenMP threads Thu Jan 23 14:53:41 2025 factoring 37904479071031122747135120747739848137936506828518605007249445113738881709507417618758869255819133838044114422720541327083128215056451580483927637041953151353289396519184440088887577572287050369835356823758644138330836934865595455831426327497107 (245 digits) Thu Jan 23 14:53:42 2025 no P-1/P+1/ECM available, skipping Thu Jan 23 14:53:42 2025 commencing number field sieve (245-digit input) Thu Jan 23 14:53:42 2025 R0: 1000000000000000000000000000000000000000000 Thu Jan 23 14:53:42 2025 R1: -1 Thu Jan 23 14:53:42 2025 A0: -61 Thu Jan 23 14:53:42 2025 A1: 0 Thu Jan 23 14:53:42 2025 A2: 0 Thu Jan 23 14:53:42 2025 A3: 0 Thu Jan 23 14:53:42 2025 A4: 0 Thu Jan 23 14:53:42 2025 A5: 0 Thu Jan 23 14:53:42 2025 A6: 340 Thu Jan 23 14:53:42 2025 skew 1.00, size 7.451e-13, alpha 1.097, combined = 9.693e-14 rroots = 2 Thu Jan 23 14:53:42 2025 Thu Jan 23 14:53:42 2025 commencing linear algebra Thu Jan 23 14:53:42 2025 using VBITS=256 Thu Jan 23 14:53:42 2025 skipping matrix build Thu Jan 23 14:53:42 2025 initialized process (0,0) of 1 x 1 grid Thu Jan 23 14:53:52 2025 matrix starts at (0, 0) Thu Jan 23 14:53:54 2025 matrix is 15926352 x 15926531 (6973.4 MB) with weight 1995359800 (125.29/col) Thu Jan 23 14:53:54 2025 sparse part has weight 1652831230 (103.78/col) Thu Jan 23 14:53:54 2025 saving the first 240 matrix rows for later Thu Jan 23 14:53:59 2025 matrix includes 256 packed rows Thu Jan 23 14:54:03 2025 matrix is 15926112 x 15926531 (6515.7 MB) with weight 1522970937 (95.62/col) Thu Jan 23 14:54:03 2025 sparse part has weight 1453231518 (91.25/col) Thu Jan 23 14:54:03 2025 using GPU 0 (NVIDIA A100-SXM4-40GB) Thu Jan 23 14:54:03 2025 selected card has CUDA arch 8.0 Thu Jan 23 14:57:07 2025 commencing Lanczos iteration Thu Jan 23 14:57:10 2025 memory use: 15583.1 MB Thu Jan 23 14:57:42 2025 linear algebra at 0.2%, ETA 4h19m Thu Jan 23 14:58:27 2025 checking every 60000 dimensions, checkpointing every 3720000 dimensions Thu Jan 23 19:17:15 2025 lanczos halted after 62400 iterations (dim = 15926107) Thu Jan 23 19:18:30 2025 recovered 32 nontrivial dependencies Thu Jan 23 19:18:31 2025 BLanczosTime: 15889 Thu Jan 23 19:18:31 2025 elapsed time 04:24:50 Thu Jan 23 20:56:57 2025 Thu Jan 23 20:56:57 2025 Thu Jan 23 20:56:57 2025 Msieve v. 1.54 (SVN Unversioned directory) Thu Jan 23 20:56:57 2025 random seeds: 2b74a347 d7861801 Thu Jan 23 20:56:57 2025 MPI process 0 of 1 Thu Jan 23 20:56:57 2025 Using 32 OpenMP threads Thu Jan 23 20:56:57 2025 factoring 37904479071031122747135120747739848137936506828518605007249445113738881709507417618758869255819133838044114422720541327083128215056451580483927637041953151353289396519184440088887577572287050369835356823758644138330836934865595455831426327497107 (245 digits) Thu Jan 23 20:56:59 2025 no P-1/P+1/ECM available, skipping Thu Jan 23 20:56:59 2025 commencing number field sieve (245-digit input) Thu Jan 23 20:56:59 2025 R0: 1000000000000000000000000000000000000000000 Thu Jan 23 20:56:59 2025 R1: -1 Thu Jan 23 20:56:59 2025 A0: -61 Thu Jan 23 20:56:59 2025 A1: 0 Thu Jan 23 20:56:59 2025 A2: 0 Thu Jan 23 20:56:59 2025 A3: 0 Thu Jan 23 20:56:59 2025 A4: 0 Thu Jan 23 20:56:59 2025 A5: 0 Thu Jan 23 20:56:59 2025 A6: 340 Thu Jan 23 20:56:59 2025 skew 1.00, size 7.451e-13, alpha 1.097, combined = 9.693e-14 rroots = 2 Thu Jan 23 20:56:59 2025 Thu Jan 23 20:56:59 2025 commencing square root phase Thu Jan 23 20:56:59 2025 reading relations for dependency 1 Thu Jan 23 20:57:01 2025 read 7968460 cycles Thu Jan 23 20:57:15 2025 cycles contain 27929824 unique relations Thu Jan 23 20:57:55 2025 read 27929824 relations Thu Jan 23 20:59:52 2025 multiplying 27929824 relations Thu Jan 23 21:01:59 2025 multiply complete, coefficients have about 951.59 million bits Thu Jan 23 21:02:02 2025 initial square root is modulo 344489251 Thu Jan 23 21:08:33 2025 GCD is N, no factor found Thu Jan 23 21:08:33 2025 reading relations for dependency 2 Thu Jan 23 21:08:35 2025 read 7964745 cycles Thu Jan 23 21:08:48 2025 cycles contain 27921722 unique relations Thu Jan 23 21:09:26 2025 read 27921722 relations Thu Jan 23 21:11:23 2025 multiplying 27921722 relations Thu Jan 23 21:13:32 2025 multiply complete, coefficients have about 951.33 million bits Thu Jan 23 21:13:34 2025 initial square root is modulo 342634231 Thu Jan 23 21:20:12 2025 sqrtTime: 1393 Thu Jan 23 21:20:12 2025 p89 factor: 14099842195886528074608925796648838327930184059676447769734777907377064050815973556423059 Thu Jan 23 21:20:12 2025 p157 factor: 2688291013788036036292187450899931723015382795641367914537157519928013003524772994753950865188463744359305132086412808094521230175594061227667439240010678273 Thu Jan 23 21:20:12 2025 elapsed time 00:23:15