Thu Apr 2 18:12:45 2026 Thu Apr 2 18:12:45 2026 Thu Apr 2 18:12:45 2026 Msieve v. 1.54 (SVN unknown) Thu Apr 2 18:12:45 2026 random seeds: bffc893f 6fa96f4e Thu Apr 2 18:12:45 2026 factoring 2687233680739711251384565238798413648379042717474569382546894570000315398235054012971838155074216761991289235361017093679962621350959968433465977952178026398823335644083584784841 (178 digits) Thu Apr 2 18:12:46 2026 no P-1/P+1/ECM available, skipping Thu Apr 2 18:12:46 2026 commencing number field sieve (178-digit input) Thu Apr 2 18:12:46 2026 R0: 38779087802614180453547282974986008093388934231672009 Thu Apr 2 18:12:46 2026 R1: -1 Thu Apr 2 18:12:46 2026 A0: 1 Thu Apr 2 18:12:46 2026 A1: 1 Thu Apr 2 18:12:46 2026 A2: 1 Thu Apr 2 18:12:46 2026 A3: 1 Thu Apr 2 18:12:46 2026 A4: 1 Thu Apr 2 18:12:46 2026 skew 1.93, size 1.886e-21, alpha 1.694, combined = 8.382e-13 rroots = 0 Thu Apr 2 18:12:46 2026 Thu Apr 2 18:12:46 2026 commencing relation filtering Thu Apr 2 18:12:46 2026 setting target matrix density to 100.0 Thu Apr 2 18:12:46 2026 estimated available RAM is 7902.4 MB Thu Apr 2 18:12:46 2026 commencing duplicate removal, pass 1 Thu Apr 2 18:26:46 2026 skipped 78 relations with b > 2^32 Thu Apr 2 18:26:46 2026 skipped 1 relations with composite factors Thu Apr 2 18:26:46 2026 found 6677320 hash collisions in 124387389 relations Thu Apr 2 18:26:52 2026 added 3657738 free relations Thu Apr 2 18:26:52 2026 commencing duplicate removal, pass 2 Thu Apr 2 18:27:30 2026 found 0 duplicates and 128045127 unique relations Thu Apr 2 18:27:30 2026 memory use: 378.4 MB Thu Apr 2 18:27:30 2026 reading ideals above 107937792 Thu Apr 2 18:27:30 2026 commencing singleton removal, initial pass Thu Apr 2 18:35:46 2026 memory use: 3012.0 MB Thu Apr 2 18:35:47 2026 reading all ideals from disk Thu Apr 2 18:35:51 2026 memory use: 2054.5 MB Thu Apr 2 18:35:55 2026 commencing in-memory singleton removal Thu Apr 2 18:35:59 2026 begin with 128045127 relations and 108131194 unique ideals Thu Apr 2 18:36:35 2026 reduce to 73043567 relations and 46553155 ideals in 14 passes Thu Apr 2 18:36:35 2026 max relations containing the same ideal: 42 Thu Apr 2 18:36:38 2026 reading ideals above 720000 Thu Apr 2 18:36:38 2026 commencing singleton removal, initial pass Thu Apr 2 18:44:18 2026 memory use: 1506.0 MB Thu Apr 2 18:44:18 2026 reading all ideals from disk Thu Apr 2 18:44:26 2026 memory use: 2722.8 MB Thu Apr 2 18:44:35 2026 keeping 58559911 ideals with weight <= 200, target excess is 375737 Thu Apr 2 18:44:43 2026 commencing in-memory singleton removal Thu Apr 2 18:44:49 2026 begin with 73043567 relations and 58559911 unique ideals Thu Apr 2 18:45:41 2026 reduce to 73024328 relations and 58540465 ideals in 9 passes Thu Apr 2 18:45:41 2026 max relations containing the same ideal: 200 Thu Apr 2 18:46:14 2026 removing 9559472 relations and 7559472 ideals in 2000000 cliques Thu Apr 2 18:46:17 2026 commencing in-memory singleton removal Thu Apr 2 18:46:23 2026 begin with 63464856 relations and 58540465 unique ideals Thu Apr 2 18:47:03 2026 reduce to 62466841 relations and 49947959 ideals in 9 passes Thu Apr 2 18:47:03 2026 max relations containing the same ideal: 190 Thu Apr 2 18:47:30 2026 removing 7475706 relations and 5475706 ideals in 2000000 cliques Thu Apr 2 18:47:34 2026 commencing in-memory singleton removal Thu Apr 2 18:47:38 2026 begin with 54991135 relations and 49947959 unique ideals Thu Apr 2 18:48:07 2026 reduce to 54295994 relations and 43754032 ideals in 8 passes Thu Apr 2 18:48:07 2026 max relations containing the same ideal: 175 Thu Apr 2 18:48:31 2026 removing 6866245 relations and 4866245 ideals in 2000000 cliques Thu Apr 2 18:48:35 2026 commencing in-memory singleton removal Thu Apr 2 18:48:38 2026 begin with 47429749 relations and 43754032 unique ideals Thu Apr 2 18:49:03 2026 reduce to 46797883 relations and 38233121 ideals in 8 passes Thu Apr 2 18:49:03 2026 max relations containing the same ideal: 162 Thu Apr 2 18:49:24 2026 removing 6546402 relations and 4546402 ideals in 2000000 cliques Thu Apr 2 18:49:26 2026 commencing in-memory singleton removal Thu Apr 2 18:49:29 2026 begin with 40251481 relations and 38233121 unique ideals Thu Apr 2 18:49:51 2026 reduce to 39630399 relations and 33040864 ideals in 8 passes Thu Apr 2 18:49:51 2026 max relations containing the same ideal: 142 Thu Apr 2 18:50:09 2026 removing 6328260 relations and 4328260 ideals in 2000000 cliques Thu Apr 2 18:50:12 2026 commencing in-memory singleton removal Thu Apr 2 18:50:15 2026 begin with 33302139 relations and 33040864 unique ideals Thu Apr 2 18:50:33 2026 reduce to 32665168 relations and 28046245 ideals in 8 passes Thu Apr 2 18:50:33 2026 max relations containing the same ideal: 126 Thu Apr 2 18:50:47 2026 removing 6145798 relations and 4145798 ideals in 2000000 cliques Thu Apr 2 18:50:50 2026 commencing in-memory singleton removal Thu Apr 2 18:50:52 2026 begin with 26519370 relations and 28046245 unique ideals Thu Apr 2 18:51:04 2026 reduce to 25843345 relations and 23187161 ideals in 7 passes Thu Apr 2 18:51:04 2026 max relations containing the same ideal: 107 Thu Apr 2 18:51:15 2026 removing 5959541 relations and 3959541 ideals in 2000000 cliques Thu Apr 2 18:51:17 2026 commencing in-memory singleton removal Thu Apr 2 18:51:19 2026 begin with 19883804 relations and 23187161 unique ideals Thu Apr 2 18:51:30 2026 reduce to 19114014 relations and 18404328 ideals in 9 passes Thu Apr 2 18:51:30 2026 max relations containing the same ideal: 89 Thu Apr 2 18:51:38 2026 removing 1192539 relations and 918708 ideals in 273831 cliques Thu Apr 2 18:51:40 2026 commencing in-memory singleton removal Thu Apr 2 18:51:41 2026 begin with 17921475 relations and 18404328 unique ideals Thu Apr 2 18:51:48 2026 reduce to 17873936 relations and 17437430 ideals in 6 passes Thu Apr 2 18:51:48 2026 max relations containing the same ideal: 85 Thu Apr 2 18:51:59 2026 relations with 0 large ideals: 30486 Thu Apr 2 18:51:59 2026 relations with 1 large ideals: 4214 Thu Apr 2 18:51:59 2026 relations with 2 large ideals: 49643 Thu Apr 2 18:51:59 2026 relations with 3 large ideals: 361994 Thu Apr 2 18:51:59 2026 relations with 4 large ideals: 1453570 Thu Apr 2 18:51:59 2026 relations with 5 large ideals: 4029284 Thu Apr 2 18:51:59 2026 relations with 6 large ideals: 4677623 Thu Apr 2 18:51:59 2026 relations with 7+ large ideals: 7267122 Thu Apr 2 18:51:59 2026 commencing 2-way merge Thu Apr 2 18:52:09 2026 reduce to 11967724 relation sets and 11531218 unique ideals Thu Apr 2 18:52:09 2026 commencing full merge Thu Apr 2 18:56:28 2026 memory use: 1523.7 MB Thu Apr 2 18:56:29 2026 found 5739495 cycles, need 5695418 Thu Apr 2 18:56:31 2026 weight of 5695418 cycles is about 569772787 (100.04/cycle) Thu Apr 2 18:56:31 2026 distribution of cycle lengths: Thu Apr 2 18:56:31 2026 1 relations: 200562 Thu Apr 2 18:56:31 2026 2 relations: 339203 Thu Apr 2 18:56:31 2026 3 relations: 432392 Thu Apr 2 18:56:31 2026 4 relations: 467994 Thu Apr 2 18:56:31 2026 5 relations: 480938 Thu Apr 2 18:56:31 2026 6 relations: 479723 Thu Apr 2 18:56:31 2026 7 relations: 462434 Thu Apr 2 18:56:31 2026 8 relations: 434568 Thu Apr 2 18:56:31 2026 9 relations: 398161 Thu Apr 2 18:56:31 2026 10+ relations: 1999443 Thu Apr 2 18:56:31 2026 heaviest cycle: 28 relations Thu Apr 2 18:56:33 2026 commencing cycle optimization Thu Apr 2 18:56:45 2026 start with 46883735 relations Thu Apr 2 18:58:28 2026 pruned 2064588 relations Thu Apr 2 18:58:28 2026 memory use: 1235.4 MB Thu Apr 2 18:58:28 2026 distribution of cycle lengths: Thu Apr 2 18:58:28 2026 1 relations: 200562 Thu Apr 2 18:58:28 2026 2 relations: 346763 Thu Apr 2 18:58:28 2026 3 relations: 450995 Thu Apr 2 18:58:28 2026 4 relations: 488362 Thu Apr 2 18:58:28 2026 5 relations: 506791 Thu Apr 2 18:58:28 2026 6 relations: 502905 Thu Apr 2 18:58:28 2026 7 relations: 486895 Thu Apr 2 18:58:28 2026 8 relations: 454466 Thu Apr 2 18:58:28 2026 9 relations: 413211 Thu Apr 2 18:58:28 2026 10+ relations: 1844468 Thu Apr 2 18:58:28 2026 heaviest cycle: 28 relations Thu Apr 2 18:58:41 2026 RelProcTime: 2755 Thu Apr 2 18:58:41 2026 elapsed time 00:45:56 Thu Apr 2 20:44:43 2026 Thu Apr 2 20:44:43 2026 Thu Apr 2 20:44:43 2026 Msieve v. 1.54 (SVN unknown) Thu Apr 2 20:44:43 2026 random seeds: a55c4127 befe52c1 Thu Apr 2 20:44:43 2026 factoring 2687233680739711251384565238798413648379042717474569382546894570000315398235054012971838155074216761991289235361017093679962621350959968433465977952178026398823335644083584784841 (178 digits) Thu Apr 2 20:44:43 2026 no P-1/P+1/ECM available, skipping Thu Apr 2 20:44:43 2026 commencing number field sieve (178-digit input) Thu Apr 2 20:44:43 2026 R0: 38779087802614180453547282974986008093388934231672009 Thu Apr 2 20:44:43 2026 R1: -1 Thu Apr 2 20:44:43 2026 A0: 1 Thu Apr 2 20:44:43 2026 A1: 1 Thu Apr 2 20:44:43 2026 A2: 1 Thu Apr 2 20:44:43 2026 A3: 1 Thu Apr 2 20:44:43 2026 A4: 1 Thu Apr 2 20:44:43 2026 skew 1.93, size 1.886e-21, alpha 1.694, combined = 8.382e-13 rroots = 0 Thu Apr 2 20:44:43 2026 Thu Apr 2 20:44:43 2026 commencing linear algebra Thu Apr 2 20:44:43 2026 using VBITS=512 Thu Apr 2 20:44:44 2026 read 5695418 cycles Thu Apr 2 20:44:56 2026 cycles contain 17655255 unique relations Thu Apr 2 20:46:35 2026 read 17655255 relations Thu Apr 2 20:47:02 2026 using 20 quadratic characters above 4294917295 Thu Apr 2 20:48:29 2026 building initial matrix Thu Apr 2 20:52:17 2026 memory use: 2230.5 MB Thu Apr 2 20:52:20 2026 read 5695418 cycles Thu Apr 2 20:52:21 2026 matrix is 5695240 x 5695418 (2295.8 MB) with weight 661659302 (116.17/col) Thu Apr 2 20:52:21 2026 sparse part has weight 539167708 (94.67/col) Thu Apr 2 20:53:23 2026 filtering completed in 2 passes Thu Apr 2 20:53:24 2026 matrix is 5695100 x 5695233 (2295.7 MB) with weight 661653556 (116.18/col) Thu Apr 2 20:53:24 2026 sparse part has weight 539165503 (94.67/col) Thu Apr 2 20:53:43 2026 matrix starts at (0, 0) Thu Apr 2 20:53:44 2026 matrix is 5695100 x 5695233 (2295.7 MB) with weight 661653556 (116.18/col) Thu Apr 2 20:53:44 2026 sparse part has weight 539165503 (94.67/col) Thu Apr 2 20:53:44 2026 saving the first 496 matrix rows for later Thu Apr 2 20:53:46 2026 matrix includes 512 packed rows Thu Apr 2 20:53:51 2026 matrix is 5694604 x 5695233 (2188.7 MB) with weight 462611204 (81.23/col) Thu Apr 2 20:53:51 2026 sparse part has weight 437072199 (76.74/col) Thu Apr 2 20:53:51 2026 using GPU 0 (NVIDIA GeForce RTX 3060) Thu Apr 2 20:53:51 2026 selected card has CUDA arch 8.6 Thu Apr 2 20:54:32 2026 commencing Lanczos iteration Thu Apr 2 20:54:33 2026 memory use: 6289.3 MB Thu Apr 2 20:54:53 2026 linear algebra at 0.3%, ETA 1h57m Thu Apr 2 20:54:53 2026 checkpointing every 3010000 dimensions Thu Apr 2 22:53:27 2026 lanczos halted after 11140 iterations (dim = 5694602) Thu Apr 2 22:54:22 2026 recovered 37 nontrivial dependencies Thu Apr 2 22:54:22 2026 BLanczosTime: 7779 Thu Apr 2 22:54:22 2026 elapsed time 02:09:39 Thu Apr 2 23:09:16 2026 Thu Apr 2 23:09:16 2026 Thu Apr 2 23:09:16 2026 Msieve v. 1.54 (SVN unknown) Thu Apr 2 23:09:16 2026 random seeds: d6679b36 15b28e25 Thu Apr 2 23:09:16 2026 factoring 2687233680739711251384565238798413648379042717474569382546894570000315398235054012971838155074216761991289235361017093679962621350959968433465977952178026398823335644083584784841 (178 digits) Thu Apr 2 23:09:17 2026 no P-1/P+1/ECM available, skipping Thu Apr 2 23:09:17 2026 commencing number field sieve (178-digit input) Thu Apr 2 23:09:17 2026 R0: 38779087802614180453547282974986008093388934231672009 Thu Apr 2 23:09:17 2026 R1: -1 Thu Apr 2 23:09:17 2026 A0: 1 Thu Apr 2 23:09:17 2026 A1: 1 Thu Apr 2 23:09:17 2026 A2: 1 Thu Apr 2 23:09:17 2026 A3: 1 Thu Apr 2 23:09:17 2026 A4: 1 Thu Apr 2 23:09:17 2026 skew 1.93, size 1.886e-21, alpha 1.694, combined = 8.382e-13 rroots = 0 Thu Apr 2 23:09:17 2026 Thu Apr 2 23:09:17 2026 commencing square root phase Thu Apr 2 23:09:17 2026 reading relations for dependency 1 Thu Apr 2 23:09:17 2026 read 2848985 cycles Thu Apr 2 23:09:22 2026 cycles contain 8832374 unique relations Thu Apr 2 23:10:03 2026 read 8832374 relations Thu Apr 2 23:10:33 2026 multiplying 8832374 relations Thu Apr 2 23:12:31 2026 multiply complete, coefficients have about 223.78 million bits Thu Apr 2 23:12:31 2026 initial square root is modulo 107392643 Thu Apr 2 23:15:13 2026 GCD is 1, no factor found Thu Apr 2 23:15:13 2026 reading relations for dependency 2 Thu Apr 2 23:15:13 2026 read 2847090 cycles Thu Apr 2 23:15:17 2026 cycles contain 8828072 unique relations Thu Apr 2 23:15:58 2026 read 8828072 relations Thu Apr 2 23:16:24 2026 multiplying 8828072 relations Thu Apr 2 23:18:22 2026 multiply complete, coefficients have about 223.67 million bits Thu Apr 2 23:18:23 2026 initial square root is modulo 106391657 Thu Apr 2 23:21:00 2026 sqrtTime: 703 Thu Apr 2 23:21:00 2026 p77 factor: 80372519377783828227085218456148997894331731227486109542745759572717330192861 Thu Apr 2 23:21:00 2026 p101 factor: 33434732437695651113331375648617118449350931345116380314797448080754023393417770418205466429658857181 Thu Apr 2 23:21:00 2026 elapsed time 00:11:44