Wed Jul 9 17:22:06 2025 Wed Jul 9 17:22:06 2025 Wed Jul 9 17:22:06 2025 Msieve v. 1.54 (SVN Unversioned directory) Wed Jul 9 17:22:06 2025 random seeds: 8373c5db fd89a348 Wed Jul 9 17:22:06 2025 factoring 428883636014476334698155072555505809914290311558395735335667825988185577126306386972937402341945778843005602928856821964567633430077121614456493356305917996871717655913188345926295016814319457768795278328993 (207 digits) Wed Jul 9 17:22:07 2025 searching for 15-digit factors Wed Jul 9 17:22:08 2025 commencing number field sieve (207-digit input) Wed Jul 9 17:22:08 2025 R0: 16022042796016826883498019139516127793 Wed Jul 9 17:22:08 2025 R1: -1 Wed Jul 9 17:22:08 2025 A0: 1 Wed Jul 9 17:22:08 2025 A1: 1 Wed Jul 9 17:22:08 2025 A2: 1 Wed Jul 9 17:22:08 2025 A3: 1 Wed Jul 9 17:22:08 2025 A4: 1 Wed Jul 9 17:22:08 2025 A5: 1 Wed Jul 9 17:22:08 2025 A6: 1 Wed Jul 9 17:22:08 2025 skew 1.35, size 4.560e-11, alpha 2.428, combined = 1.923e-12 rroots = 0 Wed Jul 9 17:22:08 2025 Wed Jul 9 17:22:08 2025 commencing relation filtering Wed Jul 9 17:22:08 2025 setting target matrix density to 110.0 Wed Jul 9 17:22:08 2025 estimated available RAM is 15938.6 MB Wed Jul 9 17:22:08 2025 commencing duplicate removal, pass 1 Wed Jul 9 17:39:26 2025 skipped 4 relations with b > 2^32 Wed Jul 9 17:39:26 2025 found 5256178 hash collisions in 109922310 relations Wed Jul 9 17:39:27 2025 commencing duplicate removal, pass 2 Wed Jul 9 17:40:37 2025 found 0 duplicates and 109922310 unique relations Wed Jul 9 17:40:37 2025 memory use: 378.4 MB Wed Jul 9 17:40:37 2025 reading ideals above 64028672 Wed Jul 9 17:40:37 2025 commencing singleton removal, initial pass Wed Jul 9 17:54:11 2025 memory use: 2756.0 MB Wed Jul 9 17:54:11 2025 reading all ideals from disk Wed Jul 9 17:54:15 2025 memory use: 1918.6 MB Wed Jul 9 17:54:26 2025 commencing in-memory singleton removal Wed Jul 9 17:54:36 2025 begin with 109922310 relations and 84562865 unique ideals Wed Jul 9 17:56:18 2025 reduce to 78394999 relations and 50302025 ideals in 12 passes Wed Jul 9 17:56:18 2025 max relations containing the same ideal: 34 Wed Jul 9 17:56:28 2025 reading ideals above 720000 Wed Jul 9 17:56:29 2025 commencing singleton removal, initial pass Wed Jul 9 18:09:45 2025 memory use: 1506.0 MB Wed Jul 9 18:09:45 2025 reading all ideals from disk Wed Jul 9 18:09:53 2025 memory use: 2906.5 MB Wed Jul 9 18:10:07 2025 keeping 57476120 ideals with weight <= 200, target excess is 398598 Wed Jul 9 18:10:24 2025 commencing in-memory singleton removal Wed Jul 9 18:10:36 2025 begin with 78394999 relations and 57476120 unique ideals Wed Jul 9 18:11:02 2025 reduce to 78394995 relations and 57476116 ideals in 2 passes Wed Jul 9 18:11:02 2025 max relations containing the same ideal: 200 Wed Jul 9 18:12:05 2025 removing 7704796 relations and 5704796 ideals in 2000000 cliques Wed Jul 9 18:12:09 2025 commencing in-memory singleton removal Wed Jul 9 18:12:21 2025 begin with 70690199 relations and 57476116 unique ideals Wed Jul 9 18:13:56 2025 reduce to 70053200 relations and 51114527 ideals in 9 passes Wed Jul 9 18:13:56 2025 max relations containing the same ideal: 193 Wed Jul 9 18:14:53 2025 removing 6295864 relations and 4295864 ideals in 2000000 cliques Wed Jul 9 18:14:57 2025 commencing in-memory singleton removal Wed Jul 9 18:15:07 2025 begin with 63757336 relations and 51114527 unique ideals Wed Jul 9 18:16:18 2025 reduce to 63318516 relations and 46367119 ideals in 7 passes Wed Jul 9 18:16:18 2025 max relations containing the same ideal: 184 Wed Jul 9 18:17:09 2025 removing 5863205 relations and 3863205 ideals in 2000000 cliques Wed Jul 9 18:17:13 2025 commencing in-memory singleton removal Wed Jul 9 18:17:22 2025 begin with 57455311 relations and 46367119 unique ideals Wed Jul 9 18:18:27 2025 reduce to 57065574 relations and 42102778 ideals in 7 passes Wed Jul 9 18:18:27 2025 max relations containing the same ideal: 171 Wed Jul 9 18:19:13 2025 removing 5639592 relations and 3639592 ideals in 2000000 cliques Wed Jul 9 18:19:16 2025 commencing in-memory singleton removal Wed Jul 9 18:19:24 2025 begin with 51425982 relations and 42102778 unique ideals Wed Jul 9 18:20:21 2025 reduce to 51050412 relations and 38075764 ideals in 7 passes Wed Jul 9 18:20:21 2025 max relations containing the same ideal: 161 Wed Jul 9 18:21:00 2025 removing 5506243 relations and 3506243 ideals in 2000000 cliques Wed Jul 9 18:21:04 2025 commencing in-memory singleton removal Wed Jul 9 18:21:11 2025 begin with 45544169 relations and 38075764 unique ideals Wed Jul 9 18:21:55 2025 reduce to 45165331 relations and 34177640 ideals in 6 passes Wed Jul 9 18:21:55 2025 max relations containing the same ideal: 149 Wed Jul 9 18:22:31 2025 removing 5417053 relations and 3417053 ideals in 2000000 cliques Wed Jul 9 18:22:34 2025 commencing in-memory singleton removal Wed Jul 9 18:22:39 2025 begin with 39748278 relations and 34177640 unique ideals Wed Jul 9 18:23:18 2025 reduce to 39352740 relations and 30349831 ideals in 6 passes Wed Jul 9 18:23:18 2025 max relations containing the same ideal: 134 Wed Jul 9 18:23:50 2025 removing 5363820 relations and 3363820 ideals in 2000000 cliques Wed Jul 9 18:23:53 2025 commencing in-memory singleton removal Wed Jul 9 18:23:58 2025 begin with 33988920 relations and 30349831 unique ideals Wed Jul 9 18:24:35 2025 reduce to 33561449 relations and 26540117 ideals in 7 passes Wed Jul 9 18:24:35 2025 max relations containing the same ideal: 120 Wed Jul 9 18:24:56 2025 removing 5320970 relations and 3320970 ideals in 2000000 cliques Wed Jul 9 18:24:58 2025 commencing in-memory singleton removal Wed Jul 9 18:25:02 2025 begin with 28240479 relations and 26540117 unique ideals Wed Jul 9 18:25:26 2025 reduce to 27766606 relations and 22721081 ideals in 7 passes Wed Jul 9 18:25:26 2025 max relations containing the same ideal: 106 Wed Jul 9 18:25:46 2025 removing 5287552 relations and 3287552 ideals in 2000000 cliques Wed Jul 9 18:25:48 2025 commencing in-memory singleton removal Wed Jul 9 18:25:51 2025 begin with 22479054 relations and 22721081 unique ideals Wed Jul 9 18:26:13 2025 reduce to 21934519 relations and 18856351 ideals in 7 passes Wed Jul 9 18:26:13 2025 max relations containing the same ideal: 91 Wed Jul 9 18:26:30 2025 removing 5250907 relations and 3250907 ideals in 2000000 cliques Wed Jul 9 18:26:33 2025 commencing in-memory singleton removal Wed Jul 9 18:26:36 2025 begin with 16683612 relations and 18856351 unique ideals Wed Jul 9 18:26:57 2025 reduce to 16019871 relations and 14890791 ideals in 9 passes Wed Jul 9 18:26:57 2025 max relations containing the same ideal: 73 Wed Jul 9 18:27:11 2025 removing 2078337 relations and 1411631 ideals in 666706 cliques Wed Jul 9 18:27:13 2025 commencing in-memory singleton removal Wed Jul 9 18:27:15 2025 begin with 13941534 relations and 14890791 unique ideals Wed Jul 9 18:27:27 2025 reduce to 13711437 relations and 13239608 ideals in 7 passes Wed Jul 9 18:27:27 2025 max relations containing the same ideal: 66 Wed Jul 9 18:27:36 2025 removing 55595 relations and 46140 ideals in 9455 cliques Wed Jul 9 18:27:37 2025 commencing in-memory singleton removal Wed Jul 9 18:27:38 2025 begin with 13655842 relations and 13239608 unique ideals Wed Jul 9 18:27:45 2025 reduce to 13655628 relations and 13193254 ideals in 4 passes Wed Jul 9 18:27:45 2025 max relations containing the same ideal: 65 Wed Jul 9 18:27:48 2025 relations with 0 large ideals: 29743 Wed Jul 9 18:27:48 2025 relations with 1 large ideals: 8723 Wed Jul 9 18:27:48 2025 relations with 2 large ideals: 80937 Wed Jul 9 18:27:48 2025 relations with 3 large ideals: 491902 Wed Jul 9 18:27:48 2025 relations with 4 large ideals: 1599929 Wed Jul 9 18:27:48 2025 relations with 5 large ideals: 3059377 Wed Jul 9 18:27:48 2025 relations with 6 large ideals: 3607724 Wed Jul 9 18:27:48 2025 relations with 7+ large ideals: 4777293 Wed Jul 9 18:27:48 2025 commencing 2-way merge Wed Jul 9 18:27:59 2025 reduce to 9421134 relation sets and 8958760 unique ideals Wed Jul 9 18:27:59 2025 commencing full merge Wed Jul 9 18:33:46 2025 memory use: 1248.7 MB Wed Jul 9 18:33:47 2025 found 4372693 cycles, need 4340960 Wed Jul 9 18:33:49 2025 weight of 4340960 cycles is about 478011151 (110.12/cycle) Wed Jul 9 18:33:49 2025 distribution of cycle lengths: Wed Jul 9 18:33:49 2025 1 relations: 150668 Wed Jul 9 18:33:49 2025 2 relations: 237048 Wed Jul 9 18:33:49 2025 3 relations: 303979 Wed Jul 9 18:33:49 2025 4 relations: 332215 Wed Jul 9 18:33:49 2025 5 relations: 348072 Wed Jul 9 18:33:49 2025 6 relations: 351899 Wed Jul 9 18:33:49 2025 7 relations: 343732 Wed Jul 9 18:33:49 2025 8 relations: 325488 Wed Jul 9 18:33:49 2025 9 relations: 300705 Wed Jul 9 18:33:49 2025 10+ relations: 1647154 Wed Jul 9 18:33:49 2025 heaviest cycle: 28 relations Wed Jul 9 18:33:51 2025 commencing cycle optimization Wed Jul 9 18:34:04 2025 start with 37608481 relations Wed Jul 9 18:36:29 2025 pruned 1927133 relations Wed Jul 9 18:36:29 2025 memory use: 957.7 MB Wed Jul 9 18:36:29 2025 distribution of cycle lengths: Wed Jul 9 18:36:29 2025 1 relations: 150668 Wed Jul 9 18:36:29 2025 2 relations: 242980 Wed Jul 9 18:36:29 2025 3 relations: 317570 Wed Jul 9 18:36:29 2025 4 relations: 347481 Wed Jul 9 18:36:29 2025 5 relations: 368613 Wed Jul 9 18:36:29 2025 6 relations: 372209 Wed Jul 9 18:36:29 2025 7 relations: 365159 Wed Jul 9 18:36:29 2025 8 relations: 343501 Wed Jul 9 18:36:29 2025 9 relations: 316440 Wed Jul 9 18:36:29 2025 10+ relations: 1516339 Wed Jul 9 18:36:29 2025 heaviest cycle: 28 relations Wed Jul 9 18:36:41 2025 RelProcTime: 4473 Wed Jul 9 18:36:41 2025 Wed Jul 9 18:36:41 2025 commencing linear algebra Wed Jul 9 18:36:41 2025 using VBITS=512 Wed Jul 9 18:36:42 2025 read 4340960 cycles Wed Jul 9 18:36:55 2025 cycles contain 13446644 unique relations Wed Jul 9 18:38:00 2025 read 13446644 relations Wed Jul 9 18:38:23 2025 using 20 quadratic characters above 4294917295 Wed Jul 9 18:39:24 2025 building initial matrix Wed Jul 9 18:42:45 2025 memory use: 1656.1 MB Wed Jul 9 18:42:47 2025 read 4340960 cycles Wed Jul 9 18:42:48 2025 matrix is 4340783 x 4340960 (1878.4 MB) with weight 535875750 (123.45/col) Wed Jul 9 18:42:48 2025 sparse part has weight 444660986 (102.43/col) Wed Jul 9 18:43:52 2025 filtering completed in 2 passes Wed Jul 9 18:43:53 2025 matrix is 4340634 x 4340778 (1878.4 MB) with weight 535869502 (123.45/col) Wed Jul 9 18:43:53 2025 sparse part has weight 444658298 (102.44/col) Wed Jul 9 18:44:11 2025 matrix starts at (0, 0) Wed Jul 9 18:44:12 2025 matrix is 4340634 x 4340778 (1878.4 MB) with weight 535869502 (123.45/col) Wed Jul 9 18:44:12 2025 sparse part has weight 444658298 (102.44/col) Wed Jul 9 18:44:12 2025 saving the first 496 matrix rows for later Wed Jul 9 18:44:15 2025 matrix includes 512 packed rows Wed Jul 9 18:44:21 2025 matrix is 4340138 x 4340778 (1767.9 MB) with weight 380619858 (87.68/col) Wed Jul 9 18:44:21 2025 sparse part has weight 359275624 (82.77/col) Wed Jul 9 18:50:12 2025 Wed Jul 9 18:50:12 2025 Wed Jul 9 18:50:12 2025 Msieve v. 1.54 (SVN unknown) Wed Jul 9 18:50:12 2025 random seeds: ec102f1f 6b09adb0 Wed Jul 9 18:50:12 2025 factoring 428883636014476334698155072555505809914290311558395735335667825988185577126306386972937402341945778843005602928856821964567633430077121614456493356305917996871717655913188345926295016814319457768795278328993 (207 digits) Wed Jul 9 18:50:13 2025 no P-1/P+1/ECM available, skipping Wed Jul 9 18:50:13 2025 commencing number field sieve (207-digit input) Wed Jul 9 18:50:13 2025 R0: 16022042796016826883498019139516127793 Wed Jul 9 18:50:13 2025 R1: -1 Wed Jul 9 18:50:13 2025 A0: 1 Wed Jul 9 18:50:13 2025 A1: 1 Wed Jul 9 18:50:13 2025 A2: 1 Wed Jul 9 18:50:13 2025 A3: 1 Wed Jul 9 18:50:13 2025 A4: 1 Wed Jul 9 18:50:13 2025 A5: 1 Wed Jul 9 18:50:13 2025 A6: 1 Wed Jul 9 18:50:13 2025 skew 1.35, size 4.560e-11, alpha 2.428, combined = 1.923e-12 rroots = 0 Wed Jul 9 18:50:13 2025 Wed Jul 9 18:50:13 2025 commencing linear algebra Wed Jul 9 18:50:13 2025 using VBITS=512 Wed Jul 9 18:50:13 2025 skipping matrix build Wed Jul 9 18:50:15 2025 matrix starts at (0, 0) Wed Jul 9 18:50:16 2025 matrix is 4340634 x 4340778 (1878.4 MB) with weight 535869502 (123.45/col) Wed Jul 9 18:50:16 2025 sparse part has weight 444658298 (102.44/col) Wed Jul 9 18:50:16 2025 saving the first 496 matrix rows for later Wed Jul 9 18:50:18 2025 matrix includes 512 packed rows Wed Jul 9 18:50:22 2025 matrix is 4340138 x 4340778 (1767.9 MB) with weight 380619858 (87.68/col) Wed Jul 9 18:50:22 2025 sparse part has weight 359275624 (82.77/col) Wed Jul 9 18:50:22 2025 using GPU 0 (NVIDIA GeForce RTX 3060) Wed Jul 9 18:50:22 2025 selected card has CUDA arch 8.6 Wed Jul 9 18:50:55 2025 commencing Lanczos iteration Wed Jul 9 18:50:56 2025 memory use: 4893.7 MB Wed Jul 9 18:51:11 2025 linear algebra at 0.4%, ETA 1h 5m Wed Jul 9 18:51:12 2025 checkpointing every 3810000 dimensions Wed Jul 9 20:08:09 2025 lanczos halted after 8491 iterations (dim = 4340134) Wed Jul 9 20:09:11 2025 recovered 37 nontrivial dependencies Wed Jul 9 20:09:12 2025 BLanczosTime: 4739 Thu Jul 10 07:00:10 2025 Thu Jul 10 07:00:10 2025 Thu Jul 10 07:00:10 2025 Msieve v. 1.54 (SVN Unversioned directory) Thu Jul 10 07:00:10 2025 random seeds: 9890f5bb 5480b030 Thu Jul 10 07:00:10 2025 factoring 428883636014476334698155072555505809914290311558395735335667825988185577126306386972937402341945778843005602928856821964567633430077121614456493356305917996871717655913188345926295016814319457768795278328993 (207 digits) Thu Jul 10 07:00:11 2025 searching for 15-digit factors Thu Jul 10 07:00:12 2025 commencing number field sieve (207-digit input) Thu Jul 10 07:00:12 2025 R0: 16022042796016826883498019139516127793 Thu Jul 10 07:00:12 2025 R1: -1 Thu Jul 10 07:00:12 2025 A0: 1 Thu Jul 10 07:00:12 2025 A1: 1 Thu Jul 10 07:00:12 2025 A2: 1 Thu Jul 10 07:00:12 2025 A3: 1 Thu Jul 10 07:00:12 2025 A4: 1 Thu Jul 10 07:00:12 2025 A5: 1 Thu Jul 10 07:00:12 2025 A6: 1 Thu Jul 10 07:00:12 2025 skew 1.35, size 4.560e-11, alpha 2.428, combined = 1.923e-12 rroots = 0 Thu Jul 10 07:00:12 2025 Thu Jul 10 07:00:12 2025 commencing square root phase Thu Jul 10 07:00:12 2025 reading relations for dependency 1 Thu Jul 10 07:00:13 2025 read 2170325 cycles Thu Jul 10 07:00:18 2025 cycles contain 6723986 unique relations Thu Jul 10 07:00:47 2025 read 6723986 relations Thu Jul 10 07:01:16 2025 multiplying 6723986 relations Thu Jul 10 07:04:33 2025 multiply complete, coefficients have about 163.22 million bits Thu Jul 10 07:04:34 2025 initial square root is modulo 720527 Thu Jul 10 07:08:09 2025 found factor: 114891588439881492747920559624126369071351976511224451819735661987753118760273 Thu Jul 10 07:08:09 2025 reading relations for dependency 2 Thu Jul 10 07:08:10 2025 read 2169991 cycles Thu Jul 10 07:08:13 2025 cycles contain 6721644 unique relations Thu Jul 10 07:08:44 2025 read 6721644 relations Thu Jul 10 07:09:14 2025 multiplying 6721644 relations Thu Jul 10 07:14:28 2025 multiply complete, coefficients have about 163.17 million bits Thu Jul 10 07:14:29 2025 initial square root is modulo 717293 Thu Jul 10 07:18:52 2025 GCD is N, no factor found Thu Jul 10 07:18:52 2025 reading relations for dependency 3 Thu Jul 10 07:18:53 2025 read 2169701 cycles Thu Jul 10 07:18:57 2025 cycles contain 6719886 unique relations Thu Jul 10 07:19:29 2025 read 6719886 relations Thu Jul 10 07:20:03 2025 multiplying 6719886 relations Thu Jul 10 07:23:40 2025 multiply complete, coefficients have about 163.13 million bits Thu Jul 10 07:23:41 2025 initial square root is modulo 714887 Thu Jul 10 07:28:38 2025 found factor: 114891588439881492747920559624126369071351976511224451819735661987753118760273 Thu Jul 10 07:28:38 2025 reading relations for dependency 4 Thu Jul 10 07:28:39 2025 read 2170007 cycles Thu Jul 10 07:28:43 2025 cycles contain 6724894 unique relations Thu Jul 10 07:29:12 2025 read 6724894 relations Thu Jul 10 07:29:45 2025 multiplying 6724894 relations Thu Jul 10 07:34:16 2025 multiply complete, coefficients have about 163.24 million bits Thu Jul 10 07:34:17 2025 initial square root is modulo 721843 Thu Jul 10 07:40:08 2025 sqrtTime: 2396 Thu Jul 10 07:40:08 2025 p56 factor: 18688633938652352801567068368672734060939498321431966781 Thu Jul 10 07:40:08 2025 p75 factor: 199743973420140235363840089275007952237861436944945975254665222115181105061 Thu Jul 10 07:40:08 2025 p78 factor: 114891588439881492747920559624126369071351976511224451819735661987753118760273 Thu Jul 10 07:40:08 2025 elapsed time 00:39:58