Thu Jan 15 12:50:16 2026 Msieve v. 1.54 (SVN 573b9ef) Thu Jan 15 12:50:16 2026 random seeds: 5cb331fd 9706a6a4 Thu Jan 15 12:50:16 2026 Using 32 OpenMP threads Thu Jan 15 12:50:16 2026 factoring 696176337947704622087125009524631157029640175821831666946095440540571876369782214684204182544084581848883531807631886075883221487456479559856931507559433647019028589304445944715520849262987723281 (195 digits) Thu Jan 15 12:50:16 2026 no P-1/P+1/ECM available, skipping Thu Jan 15 12:50:16 2026 commencing number field sieve (195-digit input) Thu Jan 15 12:50:16 2026 R0: 1 Thu Jan 15 12:50:16 2026 R1: -297705283981146579603954922325839 Thu Jan 15 12:50:16 2026 A0: -66772173679 Thu Jan 15 12:50:16 2026 A1: 0 Thu Jan 15 12:50:16 2026 A2: 0 Thu Jan 15 12:50:16 2026 A3: 0 Thu Jan 15 12:50:16 2026 A4: 0 Thu Jan 15 12:50:16 2026 A5: 0 Thu Jan 15 12:50:16 2026 A6: 1 Thu Jan 15 12:50:16 2026 skew 50.72, size 4.697e-11, alpha -0.897, combined = 1.939e-12 rroots = 2 Thu Jan 15 12:50:16 2026 Thu Jan 15 12:50:16 2026 commencing relation filtering Thu Jan 15 12:50:16 2026 setting target matrix density to 100.0 Thu Jan 15 12:50:16 2026 estimated available RAM is 128740.1 MB Thu Jan 15 12:50:16 2026 commencing duplicate removal, pass 1 Thu Jan 15 12:50:39 2026 error -6 reading relation 45896774 Thu Jan 15 12:50:47 2026 found 3078960 hash collisions in 59655999 relations Thu Jan 15 12:50:53 2026 added 1219325 free relations Thu Jan 15 12:50:53 2026 commencing duplicate removal, pass 2 Thu Jan 15 12:51:01 2026 found 0 duplicates and 60875324 unique relations Thu Jan 15 12:51:01 2026 memory use: 197.2 MB Thu Jan 15 12:51:01 2026 reading ideals above 720000 Thu Jan 15 12:51:01 2026 commencing singleton removal, initial pass Thu Jan 15 12:52:24 2026 memory use: 1506.0 MB Thu Jan 15 12:52:24 2026 reading all ideals from disk Thu Jan 15 12:52:24 2026 memory use: 2677.1 MB Thu Jan 15 12:52:27 2026 keeping 58013094 ideals with weight <= 200, target excess is 315604 Thu Jan 15 12:52:29 2026 commencing in-memory singleton removal Thu Jan 15 12:52:30 2026 begin with 60875324 relations and 58013094 unique ideals Thu Jan 15 12:52:35 2026 reduce to 39148512 relations and 34721802 ideals in 18 passes Thu Jan 15 12:52:35 2026 max relations containing the same ideal: 156 Thu Jan 15 12:52:42 2026 removing 6091939 relations and 5091939 ideals in 1000000 cliques Thu Jan 15 12:52:43 2026 commencing in-memory singleton removal Thu Jan 15 12:52:43 2026 begin with 33056573 relations and 34721802 unique ideals Thu Jan 15 12:52:45 2026 reduce to 32221305 relations and 28766665 ideals in 11 passes Thu Jan 15 12:52:45 2026 max relations containing the same ideal: 135 Thu Jan 15 12:52:51 2026 removing 4745999 relations and 3745999 ideals in 1000000 cliques Thu Jan 15 12:52:52 2026 commencing in-memory singleton removal Thu Jan 15 12:52:53 2026 begin with 27475306 relations and 28766665 unique ideals Thu Jan 15 12:52:54 2026 reduce to 26902266 relations and 24429122 ideals in 9 passes Thu Jan 15 12:52:54 2026 max relations containing the same ideal: 123 Thu Jan 15 12:52:59 2026 removing 4312851 relations and 3312851 ideals in 1000000 cliques Thu Jan 15 12:53:00 2026 commencing in-memory singleton removal Thu Jan 15 12:53:00 2026 begin with 22589415 relations and 24429122 unique ideals Thu Jan 15 12:53:01 2026 reduce to 22024898 relations and 20531771 ideals in 10 passes Thu Jan 15 12:53:01 2026 max relations containing the same ideal: 106 Thu Jan 15 12:53:06 2026 removing 4121748 relations and 3121748 ideals in 1000000 cliques Thu Jan 15 12:53:06 2026 commencing in-memory singleton removal Thu Jan 15 12:53:07 2026 begin with 17903150 relations and 20531771 unique ideals Thu Jan 15 12:53:07 2026 reduce to 17275104 relations and 16755104 ideals in 11 passes Thu Jan 15 12:53:07 2026 max relations containing the same ideal: 94 Thu Jan 15 12:53:11 2026 removing 966285 relations and 812386 ideals in 153899 cliques Thu Jan 15 12:53:11 2026 commencing in-memory singleton removal Thu Jan 15 12:53:11 2026 begin with 16308819 relations and 16755104 unique ideals Thu Jan 15 12:53:12 2026 reduce to 16270858 relations and 15904393 ideals in 8 passes Thu Jan 15 12:53:12 2026 max relations containing the same ideal: 89 Thu Jan 15 12:53:17 2026 relations with 0 large ideals: 12127 Thu Jan 15 12:53:17 2026 relations with 1 large ideals: 3520 Thu Jan 15 12:53:17 2026 relations with 2 large ideals: 51364 Thu Jan 15 12:53:17 2026 relations with 3 large ideals: 366067 Thu Jan 15 12:53:17 2026 relations with 4 large ideals: 1407496 Thu Jan 15 12:53:17 2026 relations with 5 large ideals: 3188634 Thu Jan 15 12:53:17 2026 relations with 6 large ideals: 4418718 Thu Jan 15 12:53:17 2026 relations with 7+ large ideals: 6822932 Thu Jan 15 12:53:17 2026 commencing 2-way merge Thu Jan 15 12:53:22 2026 reduce to 9815349 relation sets and 9448884 unique ideals Thu Jan 15 12:53:22 2026 commencing full merge Thu Jan 15 12:55:16 2026 memory use: 1273.0 MB Thu Jan 15 12:55:17 2026 found 4596246 cycles, need 4567084 Thu Jan 15 12:55:17 2026 weight of 4567084 cycles is about 457079072 (100.08/cycle) Thu Jan 15 12:55:17 2026 distribution of cycle lengths: Thu Jan 15 12:55:17 2026 1 relations: 389685 Thu Jan 15 12:55:17 2026 2 relations: 384217 Thu Jan 15 12:55:17 2026 3 relations: 379306 Thu Jan 15 12:55:17 2026 4 relations: 359586 Thu Jan 15 12:55:17 2026 5 relations: 346442 Thu Jan 15 12:55:17 2026 6 relations: 330300 Thu Jan 15 12:55:17 2026 7 relations: 309794 Thu Jan 15 12:55:17 2026 8 relations: 288918 Thu Jan 15 12:55:17 2026 9 relations: 264252 Thu Jan 15 12:55:17 2026 10+ relations: 1514584 Thu Jan 15 12:55:17 2026 heaviest cycle: 28 relations Thu Jan 15 12:55:18 2026 commencing cycle optimization Thu Jan 15 12:55:23 2026 start with 35670026 relations Thu Jan 15 12:55:59 2026 pruned 1197370 relations Thu Jan 15 12:55:59 2026 memory use: 1031.4 MB Thu Jan 15 12:55:59 2026 distribution of cycle lengths: Thu Jan 15 12:55:59 2026 1 relations: 389685 Thu Jan 15 12:55:59 2026 2 relations: 392035 Thu Jan 15 12:55:59 2026 3 relations: 392427 Thu Jan 15 12:55:59 2026 4 relations: 370630 Thu Jan 15 12:55:59 2026 5 relations: 358930 Thu Jan 15 12:55:59 2026 6 relations: 340700 Thu Jan 15 12:55:59 2026 7 relations: 320406 Thu Jan 15 12:55:59 2026 8 relations: 296999 Thu Jan 15 12:55:59 2026 9 relations: 270494 Thu Jan 15 12:55:59 2026 10+ relations: 1434778 Thu Jan 15 12:55:59 2026 heaviest cycle: 28 relations Thu Jan 15 12:56:03 2026 RelProcTime: 347 Thu Jan 15 12:56:03 2026 elapsed time 00:05:47 Thu Jan 15 12:56:10 2026 Thu Jan 15 12:56:10 2026 Thu Jan 15 12:56:10 2026 Msieve v. 1.54 (SVN 573b9ef) Thu Jan 15 12:56:10 2026 random seeds: c47d9c95 cb0d7904 Thu Jan 15 12:56:10 2026 MPI process 0 of 2 Thu Jan 15 12:56:10 2026 Using 8 OpenMP threads Thu Jan 15 12:56:10 2026 factoring 696176337947704622087125009524631157029640175821831666946095440540571876369782214684204182544084581848883531807631886075883221487456479559856931507559433647019028589304445944715520849262987723281 (195 digits) Thu Jan 15 12:56:10 2026 no P-1/P+1/ECM available, skipping Thu Jan 15 12:56:10 2026 commencing number field sieve (195-digit input) Thu Jan 15 12:56:10 2026 R0: 1 Thu Jan 15 12:56:10 2026 R1: -297705283981146579603954922325839 Thu Jan 15 12:56:10 2026 A0: -66772173679 Thu Jan 15 12:56:10 2026 A1: 0 Thu Jan 15 12:56:10 2026 A2: 0 Thu Jan 15 12:56:10 2026 A3: 0 Thu Jan 15 12:56:10 2026 A4: 0 Thu Jan 15 12:56:10 2026 A5: 0 Thu Jan 15 12:56:10 2026 A6: 1 Thu Jan 15 12:56:10 2026 skew 50.72, size 4.697e-11, alpha -0.897, combined = 1.939e-12 rroots = 2 Thu Jan 15 12:56:10 2026 Thu Jan 15 12:56:10 2026 commencing linear algebra Thu Jan 15 12:56:10 2026 using VBITS=256 Thu Jan 15 12:56:10 2026 initialized process (0,0) of 1 x 2 grid Thu Jan 15 12:56:10 2026 read 4567084 cycles Thu Jan 15 12:56:15 2026 cycles contain 16008125 unique relations Thu Jan 15 12:56:23 2026 read 16008125 relations Thu Jan 15 12:56:25 2026 using 20 quadratic characters above 4294917295 Thu Jan 15 12:56:30 2026 building initial matrix Thu Jan 15 12:57:58 2026 memory use: 2056.9 MB Thu Jan 15 12:58:00 2026 read 4567084 cycles Thu Jan 15 12:58:01 2026 matrix is 4566907 x 4567084 (1840.4 MB) with weight 548885819 (120.18/col) Thu Jan 15 12:58:01 2026 sparse part has weight 432201703 (94.63/col) Thu Jan 15 12:58:21 2026 filtering completed in 2 passes Thu Jan 15 12:58:22 2026 matrix is 4566360 x 4566529 (1840.3 MB) with weight 548864116 (120.19/col) Thu Jan 15 12:58:22 2026 sparse part has weight 432194495 (94.64/col) Thu Jan 15 12:58:27 2026 matrix starts at (0, 0) Thu Jan 15 12:58:28 2026 matrix is 4566360 x 2283247 (920.2 MB) with weight 274429740 (120.19/col) Thu Jan 15 12:58:28 2026 sparse part has weight 216097425 (94.64/col) Thu Jan 15 12:58:28 2026 saving the first 240 matrix rows for later Thu Jan 15 12:58:28 2026 matrix includes 256 packed rows Thu Jan 15 12:58:29 2026 matrix is 4566120 x 2283247 (841.0 MB) with weight 195452342 (85.60/col) Thu Jan 15 12:58:29 2026 sparse part has weight 183924621 (80.55/col) Thu Jan 15 12:58:29 2026 using GPU 0 (NVIDIA GeForce RTX 3090 Ti) Thu Jan 15 12:58:29 2026 selected card has CUDA arch 8.6 Thu Jan 15 12:58:35 2026 commencing Lanczos iteration Thu Jan 15 12:58:36 2026 memory use: 2195.8 MB Thu Jan 15 12:58:50 2026 linear algebra at 0.7%, ETA 0h34m Thu Jan 15 12:59:10 2026 checking every 130000 dimensions, checkpointing every 8190000 dimensions Thu Jan 15 13:33:07 2026 lanczos halted after 17891 iterations (dim = 4566118) Thu Jan 15 13:34:07 2026 recovered 35 nontrivial dependencies Thu Jan 15 13:34:08 2026 BLanczosTime: 2278 Thu Jan 15 13:34:08 2026 elapsed time 00:37:58 Thu Jan 15 13:37:33 2026 Thu Jan 15 13:37:33 2026 Thu Jan 15 13:37:33 2026 Msieve v. 1.54 (SVN 573b9ef) Thu Jan 15 13:37:33 2026 random seeds: 58280119 442b6626 Thu Jan 15 13:37:33 2026 Using 32 OpenMP threads Thu Jan 15 13:37:33 2026 factoring 696176337947704622087125009524631157029640175821831666946095440540571876369782214684204182544084581848883531807631886075883221487456479559856931507559433647019028589304445944715520849262987723281 (195 digits) Thu Jan 15 13:37:34 2026 no P-1/P+1/ECM available, skipping Thu Jan 15 13:37:34 2026 commencing number field sieve (195-digit input) Thu Jan 15 13:37:34 2026 R0: 1 Thu Jan 15 13:37:34 2026 R1: -297705283981146579603954922325839 Thu Jan 15 13:37:34 2026 A0: -66772173679 Thu Jan 15 13:37:34 2026 A1: 0 Thu Jan 15 13:37:34 2026 A2: 0 Thu Jan 15 13:37:34 2026 A3: 0 Thu Jan 15 13:37:34 2026 A4: 0 Thu Jan 15 13:37:34 2026 A5: 0 Thu Jan 15 13:37:34 2026 A6: 1 Thu Jan 15 13:37:34 2026 skew 50.72, size 4.697e-11, alpha -0.897, combined = 1.939e-12 rroots = 2 Thu Jan 15 13:37:34 2026 Thu Jan 15 13:37:34 2026 commencing square root phase Thu Jan 15 13:37:34 2026 reading relations for dependency 1 Thu Jan 15 13:37:34 2026 read 2282304 cycles Thu Jan 15 13:37:41 2026 cycles contain 8005450 unique relations Thu Jan 15 13:37:58 2026 read 8005450 relations Thu Jan 15 13:39:23 2026 multiplying 8005450 relations Thu Jan 15 13:40:13 2026 multiply complete, coefficients have about 215.63 million bits Thu Jan 15 13:40:14 2026 initial square root is modulo 54745297 Thu Jan 15 13:42:41 2026 found factor: 259080915307717399999590522976617683052417907941523409933 Thu Jan 15 13:42:41 2026 reading relations for dependency 2 Thu Jan 15 13:42:42 2026 read 2282932 cycles Thu Jan 15 13:42:57 2026 cycles contain 8003108 unique relations Thu Jan 15 13:43:07 2026 read 8003108 relations Thu Jan 15 13:44:32 2026 multiplying 8003108 relations Thu Jan 15 13:45:22 2026 multiply complete, coefficients have about 215.56 million bits Thu Jan 15 13:45:23 2026 initial square root is modulo 54444547 Thu Jan 15 13:47:54 2026 sqrtTime: 620 Thu Jan 15 13:47:54 2026 p51 factor: 994363996792331231607512036165220796292501262425981 Thu Jan 15 13:47:54 2026 p57 factor: 259080915307717399999590522976617683052417907941523409933 Thu Jan 15 13:47:54 2026 p88 factor: 2702330382942279370919601312100724700846849271103033787023605206357378470108668709880697 Thu Jan 15 13:47:54 2026 elapsed time 00:10:21