Wed May 6 15:00:05 2026 Wed May 6 15:00:05 2026 Wed May 6 15:00:05 2026 Msieve v. 1.54 (SVN unknown) Wed May 6 15:00:05 2026 random seeds: 7d52c1ed 32a64c3f Wed May 6 15:00:05 2026 factoring 16125648728502719979866824277656537452042138482574238692829893278668944333022859380313409371203213213333918391672736859186236710458426494904645633932828772657 (158 digits) Wed May 6 15:00:06 2026 no P-1/P+1/ECM available, skipping Wed May 6 15:00:06 2026 commencing number field sieve (158-digit input) Wed May 6 15:00:06 2026 R0: -5984941423728163980798151753099 Wed May 6 15:00:06 2026 R1: 19639481414871450161 Wed May 6 15:00:06 2026 A0: -86123380668646649049129689399135517280 Wed May 6 15:00:06 2026 A1: 64663725788434574460163394561138 Wed May 6 15:00:06 2026 A2: -1269869724683783606014985 Wed May 6 15:00:06 2026 A3: -1453877443160228827 Wed May 6 15:00:06 2026 A4: -4771278730 Wed May 6 15:00:06 2026 A5: 4200 Wed May 6 15:00:06 2026 skew 10549098.60, size 4.147e-15, alpha -6.617, combined = 2.732e-12 rroots = 5 Wed May 6 15:00:06 2026 Wed May 6 15:00:06 2026 commencing relation filtering Wed May 6 15:00:06 2026 setting target matrix density to 80.0 Wed May 6 15:00:06 2026 estimated available RAM is 7902.4 MB Wed May 6 15:00:06 2026 commencing duplicate removal, pass 1 Wed May 6 15:02:54 2026 error -15 reading relation 21092375 Wed May 6 15:07:46 2026 found 2812588 hash collisions in 56874735 relations Wed May 6 15:08:24 2026 added 121581 free relations Wed May 6 15:08:24 2026 commencing duplicate removal, pass 2 Wed May 6 15:08:47 2026 found 0 duplicates and 56996316 unique relations Wed May 6 15:08:47 2026 memory use: 189.2 MB Wed May 6 15:08:47 2026 reading ideals above 40960000 Wed May 6 15:08:47 2026 commencing singleton removal, initial pass Wed May 6 15:15:01 2026 memory use: 1506.0 MB Wed May 6 15:15:01 2026 reading all ideals from disk Wed May 6 15:15:03 2026 memory use: 983.5 MB Wed May 6 15:15:05 2026 commencing in-memory singleton removal Wed May 6 15:15:08 2026 begin with 56996316 relations and 55394216 unique ideals Wed May 6 15:15:32 2026 reduce to 25429515 relations and 19351305 ideals in 19 passes Wed May 6 15:15:32 2026 max relations containing the same ideal: 37 Wed May 6 15:15:33 2026 reading ideals above 720000 Wed May 6 15:15:34 2026 commencing singleton removal, initial pass Wed May 6 15:19:07 2026 memory use: 689.0 MB Wed May 6 15:19:07 2026 reading all ideals from disk Wed May 6 15:19:08 2026 memory use: 907.8 MB Wed May 6 15:19:11 2026 keeping 24182301 ideals with weight <= 200, target excess is 141829 Wed May 6 15:19:13 2026 commencing in-memory singleton removal Wed May 6 15:19:16 2026 begin with 25429538 relations and 24182301 unique ideals Wed May 6 15:19:41 2026 reduce to 25384937 relations and 24137613 ideals in 11 passes Wed May 6 15:19:41 2026 max relations containing the same ideal: 200 Wed May 6 15:19:56 2026 removing 3312461 relations and 2912461 ideals in 400000 cliques Wed May 6 15:19:57 2026 commencing in-memory singleton removal Wed May 6 15:19:59 2026 begin with 22072476 relations and 24137613 unique ideals Wed May 6 15:20:20 2026 reduce to 21723549 relations and 20869114 ideals in 10 passes Wed May 6 15:20:20 2026 max relations containing the same ideal: 190 Wed May 6 15:20:32 2026 removing 2499004 relations and 2099004 ideals in 400000 cliques Wed May 6 15:20:33 2026 commencing in-memory singleton removal Wed May 6 15:20:34 2026 begin with 19224545 relations and 20869114 unique ideals Wed May 6 15:20:47 2026 reduce to 18988244 relations and 18529381 ideals in 9 passes Wed May 6 15:20:47 2026 max relations containing the same ideal: 172 Wed May 6 15:20:57 2026 removing 1769274 relations and 1474933 ideals in 294342 cliques Wed May 6 15:20:58 2026 commencing in-memory singleton removal Wed May 6 15:21:00 2026 begin with 17218970 relations and 18529381 unique ideals Wed May 6 15:21:11 2026 reduce to 17086845 relations and 16920358 ideals in 9 passes Wed May 6 15:21:11 2026 max relations containing the same ideal: 161 Wed May 6 15:21:23 2026 relations with 0 large ideals: 498 Wed May 6 15:21:23 2026 relations with 1 large ideals: 451 Wed May 6 15:21:23 2026 relations with 2 large ideals: 7622 Wed May 6 15:21:23 2026 relations with 3 large ideals: 82379 Wed May 6 15:21:23 2026 relations with 4 large ideals: 488763 Wed May 6 15:21:23 2026 relations with 5 large ideals: 1698103 Wed May 6 15:21:23 2026 relations with 6 large ideals: 3650365 Wed May 6 15:21:23 2026 relations with 7+ large ideals: 11158664 Wed May 6 15:21:23 2026 commencing 2-way merge Wed May 6 15:21:36 2026 reduce to 10078801 relation sets and 9912314 unique ideals Wed May 6 15:21:36 2026 commencing full merge Wed May 6 15:24:28 2026 memory use: 1185.8 MB Wed May 6 15:24:29 2026 found 5068501 cycles, need 5048514 Wed May 6 15:24:31 2026 weight of 5048514 cycles is about 404040842 (80.03/cycle) Wed May 6 15:24:31 2026 distribution of cycle lengths: Wed May 6 15:24:31 2026 1 relations: 613925 Wed May 6 15:24:31 2026 2 relations: 567315 Wed May 6 15:24:31 2026 3 relations: 559204 Wed May 6 15:24:31 2026 4 relations: 504804 Wed May 6 15:24:31 2026 5 relations: 465322 Wed May 6 15:24:31 2026 6 relations: 399320 Wed May 6 15:24:31 2026 7 relations: 354431 Wed May 6 15:24:31 2026 8 relations: 306170 Wed May 6 15:24:31 2026 9 relations: 261410 Wed May 6 15:24:31 2026 10+ relations: 1016613 Wed May 6 15:24:31 2026 heaviest cycle: 25 relations Wed May 6 15:24:33 2026 commencing cycle optimization Wed May 6 15:24:42 2026 start with 30603126 relations Wed May 6 15:25:26 2026 pruned 706806 relations Wed May 6 15:25:26 2026 memory use: 1010.9 MB Wed May 6 15:25:26 2026 distribution of cycle lengths: Wed May 6 15:25:26 2026 1 relations: 613925 Wed May 6 15:25:26 2026 2 relations: 580037 Wed May 6 15:25:26 2026 3 relations: 577932 Wed May 6 15:25:26 2026 4 relations: 516152 Wed May 6 15:25:26 2026 5 relations: 474348 Wed May 6 15:25:26 2026 6 relations: 404945 Wed May 6 15:25:26 2026 7 relations: 358216 Wed May 6 15:25:26 2026 8 relations: 305783 Wed May 6 15:25:26 2026 9 relations: 259996 Wed May 6 15:25:26 2026 10+ relations: 957180 Wed May 6 15:25:26 2026 heaviest cycle: 24 relations Wed May 6 15:25:37 2026 RelProcTime: 1531 Wed May 6 15:25:38 2026 elapsed time 00:25:33 Wed May 6 17:00:41 2026 Wed May 6 17:00:41 2026 Wed May 6 17:00:41 2026 Msieve v. 1.54 (SVN unknown) Wed May 6 17:00:41 2026 random seeds: 792d43ec 6ce3b9b2 Wed May 6 17:00:41 2026 factoring 16125648728502719979866824277656537452042138482574238692829893278668944333022859380313409371203213213333918391672736859186236710458426494904645633932828772657 (158 digits) Wed May 6 17:00:42 2026 no P-1/P+1/ECM available, skipping Wed May 6 17:00:42 2026 commencing number field sieve (158-digit input) Wed May 6 17:00:42 2026 R0: -5984941423728163980798151753099 Wed May 6 17:00:42 2026 R1: 19639481414871450161 Wed May 6 17:00:42 2026 A0: -86123380668646649049129689399135517280 Wed May 6 17:00:42 2026 A1: 64663725788434574460163394561138 Wed May 6 17:00:42 2026 A2: -1269869724683783606014985 Wed May 6 17:00:42 2026 A3: -1453877443160228827 Wed May 6 17:00:42 2026 A4: -4771278730 Wed May 6 17:00:42 2026 A5: 4200 Wed May 6 17:00:42 2026 skew 10549098.60, size 4.147e-15, alpha -6.617, combined = 2.732e-12 rroots = 5 Wed May 6 17:00:42 2026 Wed May 6 17:00:42 2026 commencing linear algebra Wed May 6 17:00:42 2026 using VBITS=512 Wed May 6 17:00:42 2026 read 5048514 cycles Wed May 6 17:00:51 2026 cycles contain 16900352 unique relations Wed May 6 17:02:27 2026 read 16900352 relations Wed May 6 17:02:55 2026 using 20 quadratic characters above 4294917295 Wed May 6 17:04:19 2026 building initial matrix Wed May 6 17:07:34 2026 memory use: 2238.9 MB Wed May 6 17:07:37 2026 read 5048514 cycles Wed May 6 17:07:38 2026 matrix is 5048333 x 5048514 (1718.4 MB) with weight 532257580 (105.43/col) Wed May 6 17:07:38 2026 sparse part has weight 389879668 (77.23/col) Wed May 6 17:08:33 2026 filtering completed in 2 passes Wed May 6 17:08:35 2026 matrix is 5046396 x 5046574 (1718.2 MB) with weight 532184672 (105.45/col) Wed May 6 17:08:35 2026 sparse part has weight 389863814 (77.25/col) Wed May 6 17:08:47 2026 matrix starts at (0, 0) Wed May 6 17:08:48 2026 matrix is 5046396 x 5046574 (1718.2 MB) with weight 532184672 (105.45/col) Wed May 6 17:08:48 2026 sparse part has weight 389863814 (77.25/col) Wed May 6 17:08:48 2026 saving the first 496 matrix rows for later Wed May 6 17:08:49 2026 matrix includes 512 packed rows Wed May 6 17:08:53 2026 matrix is 5045900 x 5046574 (1643.4 MB) with weight 330276248 (65.45/col) Wed May 6 17:08:53 2026 sparse part has weight 309700197 (61.37/col) Wed May 6 17:08:54 2026 using GPU 0 (NVIDIA GeForce RTX 3060) Wed May 6 17:08:54 2026 selected card has CUDA arch 8.6 Wed May 6 17:09:26 2026 commencing Lanczos iteration Wed May 6 17:09:27 2026 memory use: 4981.0 MB Wed May 6 17:09:43 2026 linear algebra at 0.3%, ETA 1h21m Wed May 6 17:09:44 2026 checkpointing every 3570000 dimensions Wed May 6 18:33:59 2026 lanczos halted after 9872 iterations (dim = 5045900) Wed May 6 18:35:11 2026 recovered 30 nontrivial dependencies Wed May 6 18:35:11 2026 BLanczosTime: 5669 Wed May 6 18:35:11 2026 Wed May 6 18:35:11 2026 commencing square root phase Wed May 6 18:35:11 2026 handling dependencies 1 to 64 Wed May 6 18:35:11 2026 reading relations for dependency 1 Wed May 6 18:35:13 2026 read 2524045 cycles Wed May 6 18:35:16 2026 cycles contain 8450068 unique relations Wed May 6 18:36:14 2026 read 8450068 relations Wed May 6 18:36:58 2026 multiplying 8450068 relations Wed May 6 18:45:11 2026 multiply complete, coefficients have about 402.77 million bits Wed May 6 18:45:14 2026 initial square root is modulo 16864553 Wed May 6 18:55:24 2026 GCD is 1, no factor found Wed May 6 18:55:24 2026 reading relations for dependency 2 Wed May 6 18:55:24 2026 read 2521800 cycles Wed May 6 18:55:28 2026 cycles contain 8447690 unique relations Wed May 6 18:56:14 2026 read 8447690 relations Wed May 6 18:57:03 2026 multiplying 8447690 relations Wed May 6 19:05:40 2026 multiply complete, coefficients have about 402.65 million bits Wed May 6 19:05:43 2026 initial square root is modulo 16783049 Wed May 6 19:15:35 2026 sqrtTime: 2424 Wed May 6 19:15:35 2026 p78 factor: 238328794632394640313203139043208216480969401889947942281674478007671107441689 Wed May 6 19:15:35 2026 p80 factor: 67661353104124056955030203275052619058441892208940607693297577411796088192516313 Wed May 6 19:15:35 2026 elapsed time 02:14:54