Thu May 21 21:59:51 2026 Thu May 21 21:59:51 2026 Thu May 21 21:59:51 2026 Msieve v. 1.54 (SVN Unversioned directory) Thu May 21 21:59:51 2026 random seeds: 9cf6f852 246d1cfa Thu May 21 21:59:51 2026 MPI process 0 of 1 Thu May 21 21:59:51 2026 Using 16 OpenMP threads Thu May 21 21:59:51 2026 factoring 113571050612239661597669549121625383286761621545025907992966523234973129565466396041682342143296888227845541032173511361829286556820921051706724956566255998279 (159 digits) Thu May 21 21:59:52 2026 no P-1/P+1/ECM available, skipping Thu May 21 21:59:52 2026 commencing number field sieve (159-digit input) Thu May 21 21:59:52 2026 R0: -8526538592978444468710446178706 Thu May 21 21:59:52 2026 R1: 152353191035728050173 Thu May 21 21:59:52 2026 A0: -114448781165258854193564608610715378 Thu May 21 21:59:52 2026 A1: 236909616040680744027013969415 Thu May 21 21:59:52 2026 A2: 55095077240893401050214 Thu May 21 21:59:52 2026 A3: -1035275669015806223 Thu May 21 21:59:52 2026 A4: 12847125972 Thu May 21 21:59:52 2026 A5: 30240 Thu May 21 21:59:52 2026 skew 1650861.56, size 3.328e-15, alpha -5.806, combined = 2.434e-12 rroots = 3 Thu May 21 21:59:52 2026 Thu May 21 21:59:52 2026 commencing relation filtering Thu May 21 21:59:52 2026 setting target matrix density to 110.0 Thu May 21 21:59:52 2026 estimated available RAM is 385608.2 MB Thu May 21 21:59:52 2026 commencing duplicate removal, pass 1 Thu May 21 22:00:55 2026 skipped 8 malformed relations Thu May 21 22:00:55 2026 found 2776573 hash collisions in 56510406 relations Thu May 21 22:01:34 2026 added 122428 free relations Thu May 21 22:01:34 2026 commencing duplicate removal, pass 2 Thu May 21 22:01:49 2026 found 0 duplicates and 56632834 unique relations Thu May 21 22:01:49 2026 memory use: 197.2 MB Thu May 21 22:01:49 2026 reading ideals above 720000 Thu May 21 22:01:50 2026 commencing singleton removal, initial pass Thu May 21 22:03:48 2026 memory use: 1506.0 MB Thu May 21 22:03:48 2026 reading all ideals from disk Thu May 21 22:03:50 2026 memory use: 2463.1 MB Thu May 21 22:03:56 2026 keeping 58987006 ideals with weight <= 200, target excess is 313834 Thu May 21 22:04:01 2026 commencing in-memory singleton removal Thu May 21 22:04:03 2026 begin with 56632834 relations and 58987006 unique ideals Thu May 21 22:04:07 2026 reduce to 25666829 relations and 23644544 ideals in 18 passes Thu May 21 22:04:07 2026 max relations containing the same ideal: 119 Thu May 21 22:04:14 2026 removing 3095555 relations and 2695555 ideals in 400000 cliques Thu May 21 22:04:15 2026 commencing in-memory singleton removal Thu May 21 22:04:16 2026 begin with 22571274 relations and 23644544 unique ideals Thu May 21 22:04:17 2026 reduce to 22288222 relations and 20660176 ideals in 10 passes Thu May 21 22:04:17 2026 max relations containing the same ideal: 109 Thu May 21 22:04:23 2026 removing 2332799 relations and 1932799 ideals in 400000 cliques Thu May 21 22:04:24 2026 commencing in-memory singleton removal Thu May 21 22:04:25 2026 begin with 19955423 relations and 20660176 unique ideals Thu May 21 22:04:26 2026 reduce to 19768135 relations and 18536693 ideals in 12 passes Thu May 21 22:04:26 2026 max relations containing the same ideal: 99 Thu May 21 22:04:31 2026 removing 2094429 relations and 1694429 ideals in 400000 cliques Thu May 21 22:04:32 2026 commencing in-memory singleton removal Thu May 21 22:04:33 2026 begin with 17673706 relations and 18536693 unique ideals Thu May 21 22:04:33 2026 reduce to 17503105 relations and 16668477 ideals in 8 passes Thu May 21 22:04:33 2026 max relations containing the same ideal: 91 Thu May 21 22:04:38 2026 removing 1971178 relations and 1571178 ideals in 400000 cliques Thu May 21 22:04:39 2026 commencing in-memory singleton removal Thu May 21 22:04:39 2026 begin with 15531927 relations and 16668477 unique ideals Thu May 21 22:04:40 2026 reduce to 15364672 relations and 14926695 ideals in 9 passes Thu May 21 22:04:40 2026 max relations containing the same ideal: 82 Thu May 21 22:04:45 2026 removing 492487 relations and 418558 ideals in 73929 cliques Thu May 21 22:04:45 2026 commencing in-memory singleton removal Thu May 21 22:04:45 2026 begin with 14872185 relations and 14926695 unique ideals Thu May 21 22:04:46 2026 reduce to 14861845 relations and 14497752 ideals in 6 passes Thu May 21 22:04:46 2026 max relations containing the same ideal: 80 Thu May 21 22:04:49 2026 relations with 0 large ideals: 1133 Thu May 21 22:04:49 2026 relations with 1 large ideals: 3789 Thu May 21 22:04:49 2026 relations with 2 large ideals: 58728 Thu May 21 22:04:49 2026 relations with 3 large ideals: 406197 Thu May 21 22:04:49 2026 relations with 4 large ideals: 1495904 Thu May 21 22:04:49 2026 relations with 5 large ideals: 3209045 Thu May 21 22:04:49 2026 relations with 6 large ideals: 4189189 Thu May 21 22:04:49 2026 relations with 7+ large ideals: 5497860 Thu May 21 22:04:49 2026 commencing 2-way merge Thu May 21 22:04:55 2026 reduce to 8975542 relation sets and 8611449 unique ideals Thu May 21 22:04:55 2026 commencing full merge Thu May 21 22:07:29 2026 memory use: 1091.1 MB Thu May 21 22:07:30 2026 found 4108113 cycles, need 4077649 Thu May 21 22:07:31 2026 weight of 4077649 cycles is about 449152663 (110.15/cycle) Thu May 21 22:07:31 2026 distribution of cycle lengths: Thu May 21 22:07:31 2026 1 relations: 259641 Thu May 21 22:07:31 2026 2 relations: 313291 Thu May 21 22:07:31 2026 3 relations: 337765 Thu May 21 22:07:31 2026 4 relations: 328740 Thu May 21 22:07:31 2026 5 relations: 319026 Thu May 21 22:07:31 2026 6 relations: 302755 Thu May 21 22:07:31 2026 7 relations: 280689 Thu May 21 22:07:31 2026 8 relations: 262268 Thu May 21 22:07:31 2026 9 relations: 239764 Thu May 21 22:07:31 2026 10+ relations: 1433710 Thu May 21 22:07:31 2026 heaviest cycle: 28 relations Thu May 21 22:07:32 2026 commencing cycle optimization Thu May 21 22:07:39 2026 start with 33264485 relations Thu May 21 22:08:42 2026 pruned 1188266 relations Thu May 21 22:08:42 2026 memory use: 951.3 MB Thu May 21 22:08:42 2026 distribution of cycle lengths: Thu May 21 22:08:42 2026 1 relations: 259641 Thu May 21 22:08:42 2026 2 relations: 321446 Thu May 21 22:08:42 2026 3 relations: 351535 Thu May 21 22:08:42 2026 4 relations: 340162 Thu May 21 22:08:42 2026 5 relations: 331604 Thu May 21 22:08:42 2026 6 relations: 312325 Thu May 21 22:08:42 2026 7 relations: 290274 Thu May 21 22:08:42 2026 8 relations: 269335 Thu May 21 22:08:42 2026 9 relations: 245323 Thu May 21 22:08:42 2026 10+ relations: 1356004 Thu May 21 22:08:42 2026 heaviest cycle: 27 relations Thu May 21 22:08:51 2026 RelProcTime: 539 Thu May 21 22:08:51 2026 elapsed time 00:09:00 Thu May 21 22:08:51 2026 Thu May 21 22:08:51 2026 Thu May 21 22:08:51 2026 Msieve v. 1.54 (SVN Unversioned directory) Thu May 21 22:08:51 2026 random seeds: 47e29684 b2351a63 Thu May 21 22:08:51 2026 MPI process 0 of 1 Thu May 21 22:08:51 2026 Using 16 OpenMP threads Thu May 21 22:08:51 2026 factoring 113571050612239661597669549121625383286761621545025907992966523234973129565466396041682342143296888227845541032173511361829286556820921051706724956566255998279 (159 digits) Thu May 21 22:08:52 2026 no P-1/P+1/ECM available, skipping Thu May 21 22:08:52 2026 commencing number field sieve (159-digit input) Thu May 21 22:08:52 2026 R0: -8526538592978444468710446178706 Thu May 21 22:08:52 2026 R1: 152353191035728050173 Thu May 21 22:08:52 2026 A0: -114448781165258854193564608610715378 Thu May 21 22:08:52 2026 A1: 236909616040680744027013969415 Thu May 21 22:08:52 2026 A2: 55095077240893401050214 Thu May 21 22:08:52 2026 A3: -1035275669015806223 Thu May 21 22:08:52 2026 A4: 12847125972 Thu May 21 22:08:52 2026 A5: 30240 Thu May 21 22:08:52 2026 skew 1650861.56, size 3.328e-15, alpha -5.806, combined = 2.434e-12 rroots = 3 Thu May 21 22:08:52 2026 Thu May 21 22:08:52 2026 commencing linear algebra Thu May 21 22:08:52 2026 using VBITS=256 Thu May 21 22:08:52 2026 stopping after matrix build Thu May 21 22:08:52 2026 initialized process (0,0) of 1 x 1 grid Thu May 21 22:08:53 2026 read 4077649 cycles Thu May 21 22:09:01 2026 cycles contain 14617765 unique relations Thu May 21 22:09:17 2026 read 14617765 relations Thu May 21 22:09:18 2026 using 20 quadratic characters above 4294917295 Thu May 21 22:09:25 2026 building initial matrix Thu May 21 22:12:42 2026 memory use: 1964.5 MB Thu May 21 22:12:48 2026 read 4077649 cycles Thu May 21 22:12:48 2026 matrix is 4077471 x 4077649 (1784.5 MB) with weight 546085267 (133.92/col) Thu May 21 22:12:48 2026 sparse part has weight 422951060 (103.72/col) Thu May 21 22:13:29 2026 filtering completed in 2 passes Thu May 21 22:13:30 2026 matrix is 4077089 x 4077267 (1784.5 MB) with weight 546067582 (133.93/col) Thu May 21 22:13:30 2026 sparse part has weight 422945584 (103.73/col) Thu May 21 22:13:40 2026 BLanczosTime: 288 Thu May 21 22:13:40 2026 elapsed time 00:04:49 Thu May 21 22:13:41 2026 Thu May 21 22:13:41 2026 Thu May 21 22:13:41 2026 Msieve v. 1.54 (SVN Unversioned directory) Thu May 21 22:13:41 2026 random seeds: 07301953 059540f0 Thu May 21 22:13:41 2026 MPI process 0 of 1 Thu May 21 22:13:41 2026 Using 6 OpenMP threads Thu May 21 22:13:41 2026 factoring 113571050612239661597669549121625383286761621545025907992966523234973129565466396041682342143296888227845541032173511361829286556820921051706724956566255998279 (159 digits) Thu May 21 22:13:42 2026 no P-1/P+1/ECM available, skipping Thu May 21 22:13:42 2026 commencing number field sieve (159-digit input) Thu May 21 22:13:42 2026 R0: -8526538592978444468710446178706 Thu May 21 22:13:42 2026 R1: 152353191035728050173 Thu May 21 22:13:42 2026 A0: -114448781165258854193564608610715378 Thu May 21 22:13:42 2026 A1: 236909616040680744027013969415 Thu May 21 22:13:42 2026 A2: 55095077240893401050214 Thu May 21 22:13:42 2026 A3: -1035275669015806223 Thu May 21 22:13:42 2026 A4: 12847125972 Thu May 21 22:13:42 2026 A5: 30240 Thu May 21 22:13:42 2026 skew 1650861.56, size 3.328e-15, alpha -5.806, combined = 2.434e-12 rroots = 3 Thu May 21 22:13:42 2026 Thu May 21 22:13:42 2026 commencing linear algebra Thu May 21 22:13:42 2026 using VBITS=256 Thu May 21 22:13:42 2026 skipping matrix build Thu May 21 22:13:42 2026 initialized process (0,0) of 1 x 1 grid Thu May 21 22:13:46 2026 matrix starts at (0, 0) Thu May 21 22:13:47 2026 matrix is 4077089 x 4077267 (1784.5 MB) with weight 546067582 (133.93/col) Thu May 21 22:13:47 2026 sparse part has weight 422945584 (103.73/col) Thu May 21 22:13:47 2026 saving the first 240 matrix rows for later Thu May 21 22:13:49 2026 matrix includes 256 packed rows Thu May 21 22:13:51 2026 matrix is 4076849 x 4077267 (1616.4 MB) with weight 383484725 (94.05/col) Thu May 21 22:13:51 2026 sparse part has weight 358487582 (87.92/col) Thu May 21 22:13:51 2026 using GPU 0 (NVIDIA A100-SXM4-40GB) Thu May 21 22:13:51 2026 selected card has CUDA arch 8.0 Thu May 21 22:14:37 2026 commencing Lanczos iteration Thu May 21 22:14:37 2026 memory use: 3886.0 MB Thu May 21 22:14:44 2026 linear algebra at 0.8%, ETA 0h13m Thu May 21 22:14:54 2026 checking every 280000 dimensions, checkpointing every 17360000 dimensions Thu May 21 22:28:56 2026 lanczos halted after 15975 iterations (dim = 4076849) Thu May 21 22:29:21 2026 recovered 31 nontrivial dependencies Thu May 21 22:29:22 2026 BLanczosTime: 940 Thu May 21 22:29:22 2026 elapsed time 00:15:41 Thu May 21 22:29:23 2026 Thu May 21 22:29:23 2026 Thu May 21 22:29:23 2026 Msieve v. 1.54 (SVN Unversioned directory) Thu May 21 22:29:23 2026 random seeds: 04631278 e09cae0d Thu May 21 22:29:23 2026 MPI process 0 of 1 Thu May 21 22:29:23 2026 Using 16 OpenMP threads Thu May 21 22:29:23 2026 factoring 113571050612239661597669549121625383286761621545025907992966523234973129565466396041682342143296888227845541032173511361829286556820921051706724956566255998279 (159 digits) Thu May 21 22:29:23 2026 no P-1/P+1/ECM available, skipping Thu May 21 22:29:23 2026 commencing number field sieve (159-digit input) Thu May 21 22:29:23 2026 R0: -8526538592978444468710446178706 Thu May 21 22:29:23 2026 R1: 152353191035728050173 Thu May 21 22:29:23 2026 A0: -114448781165258854193564608610715378 Thu May 21 22:29:23 2026 A1: 236909616040680744027013969415 Thu May 21 22:29:23 2026 A2: 55095077240893401050214 Thu May 21 22:29:23 2026 A3: -1035275669015806223 Thu May 21 22:29:23 2026 A4: 12847125972 Thu May 21 22:29:23 2026 A5: 30240 Thu May 21 22:29:23 2026 skew 1650861.56, size 3.328e-15, alpha -5.806, combined = 2.434e-12 rroots = 3 Thu May 21 22:29:23 2026 Thu May 21 22:29:23 2026 commencing square root phase Thu May 21 22:29:23 2026 reading relations for dependency 1 Thu May 21 22:29:24 2026 read 2037909 cycles Thu May 21 22:29:28 2026 cycles contain 7306786 unique relations Thu May 21 22:29:36 2026 read 7306786 relations Thu May 21 22:30:10 2026 multiplying 7306786 relations Thu May 21 22:30:58 2026 multiply complete, coefficients have about 367.07 million bits Thu May 21 22:30:59 2026 initial square root is modulo 3859189 Thu May 21 22:33:26 2026 GCD is 1, no factor found Thu May 21 22:33:26 2026 reading relations for dependency 2 Thu May 21 22:33:27 2026 read 2037951 cycles Thu May 21 22:33:30 2026 cycles contain 7305140 unique relations Thu May 21 22:33:38 2026 read 7305140 relations Thu May 21 22:34:12 2026 multiplying 7305140 relations Thu May 21 22:35:00 2026 multiply complete, coefficients have about 366.99 million bits Thu May 21 22:35:01 2026 initial square root is modulo 3846751 Thu May 21 22:37:28 2026 GCD is N, no factor found Thu May 21 22:37:28 2026 reading relations for dependency 3 Thu May 21 22:37:29 2026 read 2037831 cycles Thu May 21 22:37:32 2026 cycles contain 7307254 unique relations Thu May 21 22:37:40 2026 read 7307254 relations Thu May 21 22:38:14 2026 multiplying 7307254 relations Thu May 21 22:39:02 2026 multiply complete, coefficients have about 367.10 million bits Thu May 21 22:39:03 2026 initial square root is modulo 3862717 Thu May 21 22:41:31 2026 GCD is N, no factor found Thu May 21 22:41:31 2026 reading relations for dependency 4 Thu May 21 22:41:32 2026 read 2039098 cycles Thu May 21 22:41:36 2026 cycles contain 7305624 unique relations Thu May 21 22:41:43 2026 read 7305624 relations Thu May 21 22:42:16 2026 multiplying 7305624 relations Thu May 21 22:43:04 2026 multiply complete, coefficients have about 367.01 million bits Thu May 21 22:43:06 2026 initial square root is modulo 3849389 Thu May 21 22:45:34 2026 sqrtTime: 971 Thu May 21 22:45:34 2026 p70 factor: 4091695398522096794510816938542029823698470526974421054866099471394693 Thu May 21 22:45:34 2026 p89 factor: 27756477340239219281058156314467109862694217762351971252231465643678281578289835956909403 Thu May 21 22:45:34 2026 elapsed time 00:16:11