Wed May 6 09:34:13 2026 Wed May 6 09:34:13 2026 Wed May 6 09:34:13 2026 Msieve v. 1.54 (SVN unknown) Wed May 6 09:34:13 2026 random seeds: 3aabf812 2bb75d6c Wed May 6 09:34:13 2026 factoring 1393654215103445666322399121319660552167210924749716772648332520552250092893923979453891223016222282021578172659841716792673987413402604212896672484830464451 (157 digits) Wed May 6 09:34:14 2026 no P-1/P+1/ECM available, skipping Wed May 6 09:34:14 2026 commencing number field sieve (157-digit input) Wed May 6 09:34:14 2026 R0: 5060143292385185566599052775255 Wed May 6 09:34:14 2026 R1: -6295930922281917359 Wed May 6 09:34:14 2026 A0: 164226326699290608227894314613147078628 Wed May 6 09:34:14 2026 A1: -41314278368572224618706717832044 Wed May 6 09:34:14 2026 A2: -16840314625434729339078877 Wed May 6 09:34:14 2026 A3: 2167252934081208209 Wed May 6 09:34:14 2026 A4: 142509093614 Wed May 6 09:34:14 2026 A5: 840 Wed May 6 09:34:14 2026 skew 1.00, size 4.942e-15, alpha -7.225, combined = 1.312e-14 rroots = 5 Wed May 6 09:34:14 2026 Wed May 6 09:34:14 2026 commencing relation filtering Wed May 6 09:34:14 2026 setting target matrix density to 80.0 Wed May 6 09:34:14 2026 estimated available RAM is 7902.4 MB Wed May 6 09:34:14 2026 commencing duplicate removal, pass 1 Wed May 6 09:41:29 2026 found 1488291 hash collisions in 57530884 relations Wed May 6 09:42:03 2026 added 122141 free relations Wed May 6 09:42:03 2026 commencing duplicate removal, pass 2 Wed May 6 09:42:27 2026 found 1 duplicates and 57653024 unique relations Wed May 6 09:42:27 2026 memory use: 190.6 MB Wed May 6 09:42:27 2026 reading ideals above 36896768 Wed May 6 09:42:27 2026 commencing singleton removal, initial pass Wed May 6 09:47:55 2026 memory use: 1506.0 MB Wed May 6 09:47:55 2026 reading all ideals from disk Wed May 6 09:47:57 2026 memory use: 1005.8 MB Wed May 6 09:47:59 2026 commencing in-memory singleton removal Wed May 6 09:48:01 2026 begin with 57653024 relations and 55782637 unique ideals Wed May 6 09:48:24 2026 reduce to 26416416 relations and 20181980 ideals in 18 passes Wed May 6 09:48:24 2026 max relations containing the same ideal: 37 Wed May 6 09:48:26 2026 reading ideals above 720000 Wed May 6 09:48:26 2026 commencing singleton removal, initial pass Wed May 6 09:51:44 2026 memory use: 689.0 MB Wed May 6 09:51:45 2026 reading all ideals from disk Wed May 6 09:51:46 2026 memory use: 936.1 MB Wed May 6 09:51:48 2026 keeping 24546562 ideals with weight <= 200, target excess is 145220 Wed May 6 09:51:51 2026 commencing in-memory singleton removal Wed May 6 09:51:53 2026 begin with 26416433 relations and 24546562 unique ideals Wed May 6 09:52:19 2026 reduce to 26399006 relations and 24529077 ideals in 12 passes Wed May 6 09:52:19 2026 max relations containing the same ideal: 200 Wed May 6 09:52:33 2026 removing 3204362 relations and 2804362 ideals in 400000 cliques Wed May 6 09:52:34 2026 commencing in-memory singleton removal Wed May 6 09:52:37 2026 begin with 23194644 relations and 24529077 unique ideals Wed May 6 09:52:57 2026 reduce to 22887087 relations and 21411004 ideals in 11 passes Wed May 6 09:52:57 2026 max relations containing the same ideal: 189 Wed May 6 09:53:08 2026 removing 2407806 relations and 2007806 ideals in 400000 cliques Wed May 6 09:53:09 2026 commencing in-memory singleton removal Wed May 6 09:53:11 2026 begin with 20479281 relations and 21411004 unique ideals Wed May 6 09:53:23 2026 reduce to 20275469 relations and 19195729 ideals in 9 passes Wed May 6 09:53:23 2026 max relations containing the same ideal: 178 Wed May 6 09:53:32 2026 removing 2168203 relations and 1768203 ideals in 400000 cliques Wed May 6 09:53:33 2026 commencing in-memory singleton removal Wed May 6 09:53:35 2026 begin with 18107266 relations and 19195729 unique ideals Wed May 6 09:53:47 2026 reduce to 17920612 relations and 17237462 ideals in 10 passes Wed May 6 09:53:47 2026 max relations containing the same ideal: 163 Wed May 6 09:53:55 2026 removing 2050504 relations and 1650504 ideals in 400000 cliques Wed May 6 09:53:56 2026 commencing in-memory singleton removal Wed May 6 09:53:57 2026 begin with 15870108 relations and 17237462 unique ideals Wed May 6 09:54:09 2026 reduce to 15681195 relations and 15394219 ideals in 11 passes Wed May 6 09:54:09 2026 max relations containing the same ideal: 148 Wed May 6 09:54:16 2026 removing 763199 relations and 644679 ideals in 118520 cliques Wed May 6 09:54:17 2026 commencing in-memory singleton removal Wed May 6 09:54:18 2026 begin with 14917996 relations and 15394219 unique ideals Wed May 6 09:54:26 2026 reduce to 14891409 relations and 14722786 ideals in 8 passes Wed May 6 09:54:26 2026 max relations containing the same ideal: 143 Wed May 6 09:54:36 2026 relations with 0 large ideals: 506 Wed May 6 09:54:36 2026 relations with 1 large ideals: 488 Wed May 6 09:54:36 2026 relations with 2 large ideals: 9020 Wed May 6 09:54:36 2026 relations with 3 large ideals: 94554 Wed May 6 09:54:36 2026 relations with 4 large ideals: 525182 Wed May 6 09:54:36 2026 relations with 5 large ideals: 1699121 Wed May 6 09:54:36 2026 relations with 6 large ideals: 3398775 Wed May 6 09:54:36 2026 relations with 7+ large ideals: 9163763 Wed May 6 09:54:36 2026 commencing 2-way merge Wed May 6 09:54:46 2026 reduce to 8856882 relation sets and 8688259 unique ideals Wed May 6 09:54:46 2026 commencing full merge Wed May 6 09:57:04 2026 memory use: 1053.3 MB Wed May 6 09:57:05 2026 found 4488471 cycles, need 4466459 Wed May 6 09:57:06 2026 weight of 4466459 cycles is about 357558787 (80.05/cycle) Wed May 6 09:57:06 2026 distribution of cycle lengths: Wed May 6 09:57:06 2026 1 relations: 524930 Wed May 6 09:57:06 2026 2 relations: 483496 Wed May 6 09:57:06 2026 3 relations: 485081 Wed May 6 09:57:06 2026 4 relations: 448087 Wed May 6 09:57:06 2026 5 relations: 419877 Wed May 6 09:57:06 2026 6 relations: 367668 Wed May 6 09:57:06 2026 7 relations: 326767 Wed May 6 09:57:06 2026 8 relations: 286234 Wed May 6 09:57:06 2026 9 relations: 246846 Wed May 6 09:57:06 2026 10+ relations: 877473 Wed May 6 09:57:06 2026 heaviest cycle: 22 relations Wed May 6 09:57:08 2026 commencing cycle optimization Wed May 6 09:57:15 2026 start with 26880527 relations Wed May 6 09:57:50 2026 pruned 637058 relations Wed May 6 09:57:50 2026 memory use: 885.6 MB Wed May 6 09:57:50 2026 distribution of cycle lengths: Wed May 6 09:57:50 2026 1 relations: 524930 Wed May 6 09:57:50 2026 2 relations: 494504 Wed May 6 09:57:50 2026 3 relations: 501268 Wed May 6 09:57:50 2026 4 relations: 458737 Wed May 6 09:57:50 2026 5 relations: 429223 Wed May 6 09:57:50 2026 6 relations: 373016 Wed May 6 09:57:50 2026 7 relations: 330738 Wed May 6 09:57:50 2026 8 relations: 288028 Wed May 6 09:57:50 2026 9 relations: 246131 Wed May 6 09:57:50 2026 10+ relations: 819884 Wed May 6 09:57:50 2026 heaviest cycle: 22 relations Wed May 6 09:58:00 2026 RelProcTime: 1426 Wed May 6 09:58:00 2026 elapsed time 00:23:47 Wed May 6 10:30:36 2026 Wed May 6 10:30:36 2026 Wed May 6 10:30:36 2026 Msieve v. 1.54 (SVN unknown) Wed May 6 10:30:36 2026 random seeds: 4319c06a 63aab12c Wed May 6 10:30:36 2026 factoring 1393654215103445666322399121319660552167210924749716772648332520552250092893923979453891223016222282021578172659841716792673987413402604212896672484830464451 (157 digits) Wed May 6 10:30:37 2026 no P-1/P+1/ECM available, skipping Wed May 6 10:30:37 2026 commencing number field sieve (157-digit input) Wed May 6 10:30:37 2026 R0: 5060143292385185566599052775255 Wed May 6 10:30:37 2026 R1: -6295930922281917359 Wed May 6 10:30:37 2026 A0: 164226326699290608227894314613147078628 Wed May 6 10:30:37 2026 A1: -41314278368572224618706717832044 Wed May 6 10:30:37 2026 A2: -16840314625434729339078877 Wed May 6 10:30:37 2026 A3: 2167252934081208209 Wed May 6 10:30:37 2026 A4: 142509093614 Wed May 6 10:30:37 2026 A5: 840 Wed May 6 10:30:37 2026 skew 1.00, size 4.942e-15, alpha -7.225, combined = 1.312e-14 rroots = 5 Wed May 6 10:30:37 2026 Wed May 6 10:30:37 2026 commencing linear algebra Wed May 6 10:30:37 2026 using VBITS=512 Wed May 6 10:30:37 2026 read 4466459 cycles Wed May 6 10:30:45 2026 cycles contain 14756855 unique relations Wed May 6 10:32:06 2026 read 14756855 relations Wed May 6 10:32:29 2026 using 20 quadratic characters above 4294917295 Wed May 6 10:33:43 2026 building initial matrix Wed May 6 10:36:23 2026 memory use: 1937.5 MB Wed May 6 10:36:25 2026 read 4466459 cycles Wed May 6 10:36:26 2026 matrix is 4466280 x 4466459 (1517.8 MB) with weight 473147340 (105.93/col) Wed May 6 10:36:26 2026 sparse part has weight 344281098 (77.08/col) Wed May 6 10:37:06 2026 filtering completed in 2 passes Wed May 6 10:37:07 2026 matrix is 4465182 x 4465360 (1517.7 MB) with weight 473106646 (105.95/col) Wed May 6 10:37:07 2026 sparse part has weight 344272923 (77.10/col) Wed May 6 10:37:17 2026 matrix starts at (0, 0) Wed May 6 10:37:17 2026 matrix is 4465182 x 4465360 (1517.7 MB) with weight 473106646 (105.95/col) Wed May 6 10:37:17 2026 sparse part has weight 344272923 (77.10/col) Wed May 6 10:37:17 2026 saving the first 496 matrix rows for later Wed May 6 10:37:19 2026 matrix includes 512 packed rows Wed May 6 10:37:22 2026 matrix is 4464686 x 4465360 (1446.5 MB) with weight 291076046 (65.19/col) Wed May 6 10:37:22 2026 sparse part has weight 272034210 (60.92/col) Wed May 6 10:37:23 2026 using GPU 0 (NVIDIA GeForce RTX 3060) Wed May 6 10:37:23 2026 selected card has CUDA arch 8.6 Wed May 6 10:37:49 2026 commencing Lanczos iteration Wed May 6 10:37:50 2026 memory use: 4358.0 MB Wed May 6 10:38:04 2026 linear algebra at 0.3%, ETA 1h 7m Wed May 6 10:38:04 2026 checkpointing every 4080000 dimensions Wed May 6 11:43:32 2026 lanczos halted after 8734 iterations (dim = 4464686) Wed May 6 11:44:14 2026 recovered 31 nontrivial dependencies Wed May 6 11:44:14 2026 BLanczosTime: 4417 Wed May 6 11:44:14 2026 Wed May 6 11:44:14 2026 commencing square root phase Wed May 6 11:44:14 2026 handling dependencies 1 to 64 Wed May 6 11:44:14 2026 reading relations for dependency 1 Wed May 6 11:44:15 2026 read 2232427 cycles Wed May 6 11:44:18 2026 cycles contain 7374962 unique relations Wed May 6 11:44:46 2026 read 7374962 relations Wed May 6 11:45:12 2026 multiplying 7374962 relations Wed May 6 11:50:19 2026 multiply complete, coefficients have about 353.43 million bits Wed May 6 11:50:21 2026 initial square root is modulo 2196599 Wed May 6 11:56:26 2026 GCD is N, no factor found Wed May 6 11:56:26 2026 reading relations for dependency 2 Wed May 6 11:56:27 2026 read 2232757 cycles Wed May 6 11:56:29 2026 cycles contain 7377262 unique relations Wed May 6 11:56:57 2026 read 7377262 relations Wed May 6 11:57:24 2026 multiplying 7377262 relations Wed May 6 12:02:31 2026 multiply complete, coefficients have about 353.54 million bits Wed May 6 12:02:33 2026 initial square root is modulo 2206387 Wed May 6 12:08:39 2026 sqrtTime: 1465 Wed May 6 12:08:39 2026 p63 factor: 275628084342294111681943746266736833000754091695019411530098159 Wed May 6 12:08:39 2026 p94 factor: 5056285241864936379442809758152718058460941045280289333224307908755969396031839884484361063789 Wed May 6 12:08:39 2026 elapsed time 01:38:03