Fri May 30 11:01:19 2025 Fri May 30 11:01:19 2025 Fri May 30 11:01:19 2025 Msieve v. 1.54 (SVN unknown) Fri May 30 11:01:19 2025 random seeds: 54b8274f 17ae4931 Fri May 30 11:01:19 2025 factoring 56676840674244470987196524318044208125054941696033941327493144913629451782299005902157174964838624790461600919755790960459599026049808788941792250996406625451517063049176128129013973643525333769916925141164750782863161774187383 (227 digits) Fri May 30 11:01:20 2025 no P-1/P+1/ECM available, skipping Fri May 30 11:01:20 2025 commencing number field sieve (227-digit input) Fri May 30 11:01:20 2025 R0: 126118074151863389852194089292179705343 Fri May 30 11:01:20 2025 R1: -1 Fri May 30 11:01:20 2025 A0: 1 Fri May 30 11:01:20 2025 A1: 1 Fri May 30 11:01:20 2025 A2: 1 Fri May 30 11:01:20 2025 A3: 1 Fri May 30 11:01:20 2025 A4: 1 Fri May 30 11:01:20 2025 A5: 1 Fri May 30 11:01:20 2025 A6: 1 Fri May 30 11:01:20 2025 skew 1.00, size 2.529e-11, alpha 2.428, combined = 1.252e-12 rroots = 0 Fri May 30 11:01:20 2025 Fri May 30 11:01:20 2025 commencing relation filtering Fri May 30 11:01:20 2025 setting target matrix density to 100.0 Fri May 30 11:01:20 2025 estimated available RAM is 15954.4 MB Fri May 30 11:01:20 2025 commencing duplicate removal, pass 1 Fri May 30 11:12:03 2025 error -15 reading relation 91737198 Fri May 30 11:13:39 2025 skipped 12 relations with b > 2^32 Fri May 30 11:13:39 2025 skipped 5 relations with composite factors Fri May 30 11:13:39 2025 found 4588813 hash collisions in 102439804 relations Fri May 30 11:13:39 2025 commencing duplicate removal, pass 2 Fri May 30 11:14:11 2025 found 0 duplicates and 102439804 unique relations Fri May 30 11:14:11 2025 memory use: 261.2 MB Fri May 30 11:14:11 2025 reading ideals above 69926912 Fri May 30 11:14:11 2025 commencing singleton removal, initial pass Fri May 30 11:24:25 2025 memory use: 2756.0 MB Fri May 30 11:24:26 2025 reading all ideals from disk Fri May 30 11:24:30 2025 memory use: 1831.9 MB Fri May 30 11:24:43 2025 commencing in-memory singleton removal Fri May 30 11:24:52 2025 begin with 102439804 relations and 83985721 unique ideals Fri May 30 11:26:27 2025 reduce to 69528851 relations and 47904362 ideals in 13 passes Fri May 30 11:26:27 2025 max relations containing the same ideal: 44 Fri May 30 11:26:33 2025 reading ideals above 720000 Fri May 30 11:26:33 2025 commencing singleton removal, initial pass Fri May 30 11:37:42 2025 memory use: 1506.0 MB Fri May 30 11:37:42 2025 reading all ideals from disk Fri May 30 11:37:48 2025 memory use: 2612.6 MB Fri May 30 11:38:05 2025 keeping 55785964 ideals with weight <= 200, target excess is 346314 Fri May 30 11:38:21 2025 commencing in-memory singleton removal Fri May 30 11:38:31 2025 begin with 69528852 relations and 55785964 unique ideals Fri May 30 11:38:50 2025 reduce to 69528803 relations and 55785912 ideals in 2 passes Fri May 30 11:38:50 2025 max relations containing the same ideal: 200 Fri May 30 11:39:46 2025 removing 8511252 relations and 6511252 ideals in 2000000 cliques Fri May 30 11:39:49 2025 commencing in-memory singleton removal Fri May 30 11:39:58 2025 begin with 61017551 relations and 55785912 unique ideals Fri May 30 11:40:59 2025 reduce to 60080317 relations and 48303523 ideals in 9 passes Fri May 30 11:40:59 2025 max relations containing the same ideal: 192 Fri May 30 11:41:38 2025 removing 6939150 relations and 4939150 ideals in 2000000 cliques Fri May 30 11:41:42 2025 commencing in-memory singleton removal Fri May 30 11:41:49 2025 begin with 53141167 relations and 48303523 unique ideals Fri May 30 11:42:36 2025 reduce to 52467727 relations and 42668302 ideals in 8 passes Fri May 30 11:42:36 2025 max relations containing the same ideal: 176 Fri May 30 11:43:10 2025 removing 6475078 relations and 4475078 ideals in 2000000 cliques Fri May 30 11:43:14 2025 commencing in-memory singleton removal Fri May 30 11:43:20 2025 begin with 45992649 relations and 42668302 unique ideals Fri May 30 11:43:59 2025 reduce to 45353835 relations and 37531223 ideals in 8 passes Fri May 30 11:43:59 2025 max relations containing the same ideal: 160 Fri May 30 11:44:31 2025 removing 6272752 relations and 4272753 ideals in 2000000 cliques Fri May 30 11:44:34 2025 commencing in-memory singleton removal Fri May 30 11:44:39 2025 begin with 39081083 relations and 37531223 unique ideals Fri May 30 11:45:11 2025 reduce to 38416627 relations and 32567010 ideals in 7 passes Fri May 30 11:45:11 2025 max relations containing the same ideal: 147 Fri May 30 11:45:37 2025 removing 6173080 relations and 4173080 ideals in 2000000 cliques Fri May 30 11:45:40 2025 commencing in-memory singleton removal Fri May 30 11:45:44 2025 begin with 32243547 relations and 32567010 unique ideals Fri May 30 11:46:08 2025 reduce to 31508480 relations and 27624108 ideals in 7 passes Fri May 30 11:46:08 2025 max relations containing the same ideal: 126 Fri May 30 11:46:29 2025 removing 6130471 relations and 4130471 ideals in 2000000 cliques Fri May 30 11:46:32 2025 commencing in-memory singleton removal Fri May 30 11:46:35 2025 begin with 25378009 relations and 27624108 unique ideals Fri May 30 11:46:56 2025 reduce to 24522760 relations and 22588770 ideals in 8 passes Fri May 30 11:46:56 2025 max relations containing the same ideal: 111 Fri May 30 11:47:13 2025 removing 4928310 relations and 3396045 ideals in 1532265 cliques Fri May 30 11:47:16 2025 commencing in-memory singleton removal Fri May 30 11:47:18 2025 begin with 19594450 relations and 22588770 unique ideals Fri May 30 11:47:38 2025 reduce to 18882045 relations and 18439763 ideals in 10 passes Fri May 30 11:47:38 2025 max relations containing the same ideal: 91 Fri May 30 11:47:52 2025 removing 261454 relations and 220897 ideals in 40557 cliques Fri May 30 11:47:54 2025 commencing in-memory singleton removal Fri May 30 11:47:56 2025 begin with 18620591 relations and 18439763 unique ideals Fri May 30 11:48:08 2025 reduce to 18617728 relations and 18215992 ideals in 6 passes Fri May 30 11:48:08 2025 max relations containing the same ideal: 89 Fri May 30 11:48:12 2025 relations with 0 large ideals: 25445 Fri May 30 11:48:12 2025 relations with 1 large ideals: 6380 Fri May 30 11:48:12 2025 relations with 2 large ideals: 46108 Fri May 30 11:48:12 2025 relations with 3 large ideals: 337148 Fri May 30 11:48:12 2025 relations with 4 large ideals: 1346745 Fri May 30 11:48:12 2025 relations with 5 large ideals: 3220180 Fri May 30 11:48:12 2025 relations with 6 large ideals: 4779774 Fri May 30 11:48:12 2025 relations with 7+ large ideals: 8855948 Fri May 30 11:48:12 2025 commencing 2-way merge Fri May 30 11:48:30 2025 reduce to 12268461 relation sets and 11866724 unique ideals Fri May 30 11:48:30 2025 commencing full merge Fri May 30 11:55:58 2025 memory use: 1673.6 MB Fri May 30 11:56:00 2025 found 5856305 cycles, need 5828924 Fri May 30 11:56:03 2025 weight of 5828924 cycles is about 583473899 (100.10/cycle) Fri May 30 11:56:03 2025 distribution of cycle lengths: Fri May 30 11:56:03 2025 1 relations: 350590 Fri May 30 11:56:03 2025 2 relations: 441650 Fri May 30 11:56:03 2025 3 relations: 488221 Fri May 30 11:56:03 2025 4 relations: 486973 Fri May 30 11:56:03 2025 5 relations: 483557 Fri May 30 11:56:03 2025 6 relations: 467374 Fri May 30 11:56:03 2025 7 relations: 440346 Fri May 30 11:56:03 2025 8 relations: 406553 Fri May 30 11:56:03 2025 9 relations: 367128 Fri May 30 11:56:03 2025 10+ relations: 1896532 Fri May 30 11:56:03 2025 heaviest cycle: 28 relations Fri May 30 11:56:06 2025 commencing cycle optimization Fri May 30 11:56:23 2025 start with 46011018 relations Fri May 30 11:58:44 2025 pruned 1911074 relations Fri May 30 11:58:44 2025 memory use: 1249.3 MB Fri May 30 11:58:44 2025 distribution of cycle lengths: Fri May 30 11:58:44 2025 1 relations: 350590 Fri May 30 11:58:44 2025 2 relations: 450636 Fri May 30 11:58:44 2025 3 relations: 506525 Fri May 30 11:58:44 2025 4 relations: 505543 Fri May 30 11:58:44 2025 5 relations: 505209 Fri May 30 11:58:44 2025 6 relations: 486945 Fri May 30 11:58:44 2025 7 relations: 460997 Fri May 30 11:58:44 2025 8 relations: 422340 Fri May 30 11:58:44 2025 9 relations: 379533 Fri May 30 11:58:44 2025 10+ relations: 1760606 Fri May 30 11:58:44 2025 heaviest cycle: 28 relations Fri May 30 11:59:04 2025 RelProcTime: 3464 Fri May 30 11:59:04 2025 elapsed time 00:57:45 Fri May 30 13:35:59 2025 Fri May 30 13:35:59 2025 Fri May 30 13:35:59 2025 Msieve v. 1.54 (SVN unknown) Fri May 30 13:35:59 2025 random seeds: 821061be b8ce2e16 Fri May 30 13:35:59 2025 factoring 56676840674244470987196524318044208125054941696033941327493144913629451782299005902157174964838624790461600919755790960459599026049808788941792250996406625451517063049176128129013973643525333769916925141164750782863161774187383 (227 digits) Fri May 30 13:35:59 2025 no P-1/P+1/ECM available, skipping Fri May 30 13:35:59 2025 commencing number field sieve (227-digit input) Fri May 30 13:36:00 2025 R0: 126118074151863389852194089292179705343 Fri May 30 13:36:00 2025 R1: -1 Fri May 30 13:36:00 2025 A0: 1 Fri May 30 13:36:00 2025 A1: 1 Fri May 30 13:36:00 2025 A2: 1 Fri May 30 13:36:00 2025 A3: 1 Fri May 30 13:36:00 2025 A4: 1 Fri May 30 13:36:00 2025 A5: 1 Fri May 30 13:36:00 2025 A6: 1 Fri May 30 13:36:00 2025 skew 1.00, size 2.529e-11, alpha 2.428, combined = 1.252e-12 rroots = 0 Fri May 30 13:36:00 2025 Fri May 30 13:36:00 2025 commencing linear algebra Fri May 30 13:36:00 2025 using VBITS=512 Fri May 30 13:36:00 2025 read 5828924 cycles Fri May 30 13:36:20 2025 cycles contain 18394684 unique relations Fri May 30 13:38:06 2025 read 18394684 relations Fri May 30 13:39:13 2025 using 20 quadratic characters above 4294917295 Fri May 30 13:40:42 2025 building initial matrix Fri May 30 13:47:02 2025 memory use: 2286.8 MB Fri May 30 13:47:06 2025 read 5828924 cycles Fri May 30 13:47:06 2025 matrix is 5828747 x 5828924 (2343.3 MB) with weight 669746728 (114.90/col) Fri May 30 13:47:06 2025 sparse part has weight 550162908 (94.38/col) Fri May 30 13:48:56 2025 filtering completed in 2 passes Fri May 30 13:48:57 2025 matrix is 5828482 x 5828626 (2343.3 MB) with weight 669737162 (114.90/col) Fri May 30 13:48:57 2025 sparse part has weight 550159341 (94.39/col) Fri May 30 13:49:19 2025 matrix starts at (0, 0) Fri May 30 13:49:20 2025 matrix is 5828482 x 5828626 (2343.3 MB) with weight 669737162 (114.90/col) Fri May 30 13:49:20 2025 sparse part has weight 550159341 (94.39/col) Fri May 30 13:49:20 2025 saving the first 496 matrix rows for later Fri May 30 13:49:21 2025 matrix includes 512 packed rows Fri May 30 13:49:26 2025 matrix is 5827986 x 5828626 (2238.9 MB) with weight 472688353 (81.10/col) Fri May 30 13:49:26 2025 sparse part has weight 447022351 (76.69/col) Fri May 30 13:49:27 2025 using GPU 0 (NVIDIA GeForce RTX 3060) Fri May 30 13:49:27 2025 selected card has CUDA arch 8.6 Fri May 30 13:50:23 2025 commencing Lanczos iteration Fri May 30 13:50:24 2025 memory use: 6345.5 MB Fri May 30 13:50:44 2025 linear algebra at 0.3%, ETA 2h 0m Fri May 30 13:50:45 2025 checkpointing every 2860000 dimensions Fri May 30 16:08:04 2025 lanczos halted after 11401 iterations (dim = 5827982) Fri May 30 16:10:17 2025 recovered 33 nontrivial dependencies Fri May 30 16:10:17 2025 BLanczosTime: 9257 Fri May 30 16:10:17 2025 Fri May 30 16:10:17 2025 commencing square root phase Fri May 30 16:10:17 2025 handling dependencies 1 to 64 Fri May 30 16:10:17 2025 reading relations for dependency 1 Fri May 30 16:10:25 2025 read 2912175 cycles Fri May 30 16:10:30 2025 cycles contain 9191644 unique relations Fri May 30 16:11:42 2025 read 9191644 relations Fri May 30 16:12:28 2025 multiplying 9191644 relations Fri May 30 16:17:16 2025 multiply complete, coefficients have about 224.04 million bits Fri May 30 16:17:18 2025 initial square root is modulo 109674421 Fri May 30 16:22:56 2025 GCD is N, no factor found Fri May 30 16:22:56 2025 reading relations for dependency 2 Fri May 30 16:22:57 2025 read 2915917 cycles Fri May 30 16:23:02 2025 cycles contain 9199864 unique relations Fri May 30 16:23:47 2025 read 9199864 relations Fri May 30 16:24:27 2025 multiplying 9199864 relations Fri May 30 16:29:32 2025 multiply complete, coefficients have about 224.23 million bits Fri May 30 16:29:34 2025 initial square root is modulo 111419089 Fri May 30 16:35:27 2025 sqrtTime: 1510 Fri May 30 16:35:27 2025 p50 factor: 56235546420204081407681808920124869905634262666397 Fri May 30 16:35:27 2025 p178 factor: 1007847247553050238543190477542009817028227439242135057281492194756498224534316120653739114334743106315143513615162725817885180575027404237632625588107082364029036828589066760739 Fri May 30 16:35:27 2025 elapsed time 02:59:28