Tue May 19 10:31:55 2026 Msieve v. 1.54 (SVN unknown) Tue May 19 10:31:55 2026 random seeds: c0a26b77 d23ee787 Tue May 19 10:31:55 2026 factoring 1163086978867051523584968276692891825544132844718312074362888157151283200617046117817566220548296795122105544914718737497173440160654565034073910773731683637077426357946585307 (175 digits) Tue May 19 10:31:56 2026 no P-1/P+1/ECM available, skipping Tue May 19 10:31:56 2026 commencing number field sieve (175-digit input) Tue May 19 10:31:56 2026 R0: 280848646492847257620100725670931 Tue May 19 10:31:56 2026 R1: 309000331320973239318249359 Tue May 19 10:31:56 2026 A0: 463986912075632959005850597093906381245696 Tue May 19 10:31:56 2026 A1: 40941916723762304091213685509006382 Tue May 19 10:31:56 2026 A2: -17011551996543172253673081013 Tue May 19 10:31:56 2026 A3: -183748775087207376398 Tue May 19 10:31:56 2026 A4: 20707238151806 Tue May 19 10:31:56 2026 A5: 226380 Tue May 19 10:31:56 2026 skew 16380185.92, size 5.440e-17, alpha -6.700, combined = 1.998e-13 rroots = 5 Tue May 19 10:31:56 2026 Tue May 19 10:31:56 2026 commencing relation filtering Tue May 19 10:31:56 2026 setting target matrix density to 86.0 Tue May 19 10:31:56 2026 estimated available RAM is 128742.2 MB Tue May 19 10:31:56 2026 commencing duplicate removal, pass 1 Tue May 19 11:33:38 2026 error -6 reading relation 228997600 Tue May 19 11:37:34 2026 skipped 4 malformed relations Tue May 19 11:37:34 2026 found 12854632 hash collisions in 243924517 relations Tue May 19 11:38:25 2026 added 121438 free relations Tue May 19 11:38:25 2026 commencing duplicate removal, pass 2 Tue May 19 11:40:05 2026 found 0 duplicates and 244045955 unique relations Tue May 19 11:40:05 2026 memory use: 788.8 MB Tue May 19 11:40:05 2026 reading ideals above 720000 Tue May 19 11:40:05 2026 commencing singleton removal, initial pass Tue May 19 12:56:45 2026 memory use: 6024.0 MB Tue May 19 12:56:45 2026 reading all ideals from disk Tue May 19 12:56:55 2026 memory use: 11580.5 MB Tue May 19 12:57:44 2026 keeping 235996381 ideals with weight <= 200, target excess is 1257076 Tue May 19 12:58:38 2026 commencing in-memory singleton removal Tue May 19 12:59:54 2026 begin with 244045955 relations and 235996381 unique ideals Tue May 19 13:05:45 2026 reduce to 137512655 relations and 116947669 ideals in 15 passes Tue May 19 13:05:45 2026 max relations containing the same ideal: 146 Tue May 19 13:08:06 2026 removing 12703756 relations and 10703756 ideals in 2000000 cliques Tue May 19 13:08:14 2026 commencing in-memory singleton removal Tue May 19 13:08:48 2026 begin with 124808899 relations and 116947669 unique ideals Tue May 19 13:10:47 2026 reduce to 123894339 relations and 105312343 ideals in 9 passes Tue May 19 13:10:47 2026 max relations containing the same ideal: 137 Tue May 19 13:12:34 2026 removing 9684556 relations and 7684556 ideals in 2000000 cliques Tue May 19 13:12:41 2026 commencing in-memory singleton removal Tue May 19 13:13:11 2026 begin with 114209783 relations and 105312343 unique ideals Tue May 19 13:14:47 2026 reduce to 113592206 relations and 97000023 ideals in 8 passes Tue May 19 13:14:47 2026 max relations containing the same ideal: 126 Tue May 19 13:16:25 2026 removing 8782241 relations and 6782241 ideals in 2000000 cliques Tue May 19 13:16:31 2026 commencing in-memory singleton removal Tue May 19 13:16:59 2026 begin with 104809965 relations and 97000023 unique ideals Tue May 19 13:18:26 2026 reduce to 104249300 relations and 89647703 ideals in 8 passes Tue May 19 13:18:26 2026 max relations containing the same ideal: 120 Tue May 19 13:19:57 2026 removing 8330292 relations and 6330292 ideals in 2000000 cliques Tue May 19 13:20:03 2026 commencing in-memory singleton removal Tue May 19 13:20:28 2026 begin with 95919008 relations and 89647703 unique ideals Tue May 19 13:21:59 2026 reduce to 95368846 relations and 82757489 ideals in 9 passes Tue May 19 13:21:59 2026 max relations containing the same ideal: 113 Tue May 19 13:23:24 2026 removing 8080165 relations and 6080165 ideals in 2000000 cliques Tue May 19 13:23:29 2026 commencing in-memory singleton removal Tue May 19 13:23:52 2026 begin with 87288681 relations and 82757489 unique ideals Tue May 19 13:25:06 2026 reduce to 86722584 relations and 76100677 ideals in 8 passes Tue May 19 13:25:06 2026 max relations containing the same ideal: 106 Tue May 19 13:26:23 2026 removing 7946903 relations and 5946903 ideals in 2000000 cliques Tue May 19 13:26:29 2026 commencing in-memory singleton removal Tue May 19 13:26:49 2026 begin with 78775681 relations and 76100677 unique ideals Tue May 19 13:28:04 2026 reduce to 78176636 relations and 69542465 ideals in 9 passes Tue May 19 13:28:04 2026 max relations containing the same ideal: 100 Tue May 19 13:29:14 2026 removing 7888631 relations and 5888631 ideals in 2000000 cliques Tue May 19 13:29:18 2026 commencing in-memory singleton removal Tue May 19 13:29:37 2026 begin with 70288005 relations and 69542465 unique ideals Tue May 19 13:30:36 2026 reduce to 69631806 relations and 62982780 ideals in 8 passes Tue May 19 13:30:36 2026 max relations containing the same ideal: 94 Tue May 19 13:31:39 2026 removing 7904615 relations and 5904615 ideals in 2000000 cliques Tue May 19 13:31:43 2026 commencing in-memory singleton removal Tue May 19 13:31:59 2026 begin with 61727191 relations and 62982780 unique ideals Tue May 19 13:32:56 2026 reduce to 60975675 relations and 56307895 ideals in 9 passes Tue May 19 13:32:56 2026 max relations containing the same ideal: 83 Tue May 19 13:33:52 2026 removing 7988979 relations and 5988979 ideals in 2000000 cliques Tue May 19 13:33:56 2026 commencing in-memory singleton removal Tue May 19 13:34:10 2026 begin with 52986696 relations and 56307895 unique ideals Tue May 19 13:35:04 2026 reduce to 52088173 relations and 49394639 ideals in 10 passes Tue May 19 13:35:04 2026 max relations containing the same ideal: 77 Tue May 19 13:35:52 2026 removing 5644290 relations and 4408965 ideals in 1235325 cliques Tue May 19 13:35:55 2026 commencing in-memory singleton removal Tue May 19 13:36:07 2026 begin with 46443883 relations and 49394639 unique ideals Tue May 19 13:36:54 2026 reduce to 45931439 relations and 44462595 ideals in 10 passes Tue May 19 13:36:54 2026 max relations containing the same ideal: 70 Tue May 19 13:37:36 2026 removing 104586 relations and 93951 ideals in 10635 cliques Tue May 19 13:37:39 2026 commencing in-memory singleton removal Tue May 19 13:37:50 2026 begin with 45826853 relations and 44462595 unique ideals Tue May 19 13:38:09 2026 reduce to 45826700 relations and 44368491 ideals in 4 passes Tue May 19 13:38:09 2026 max relations containing the same ideal: 70 Tue May 19 13:38:21 2026 relations with 0 large ideals: 4440 Tue May 19 13:38:21 2026 relations with 1 large ideals: 30191 Tue May 19 13:38:21 2026 relations with 2 large ideals: 395782 Tue May 19 13:38:21 2026 relations with 3 large ideals: 2228565 Tue May 19 13:38:21 2026 relations with 4 large ideals: 6708313 Tue May 19 13:38:21 2026 relations with 5 large ideals: 11806487 Tue May 19 13:38:21 2026 relations with 6 large ideals: 12629021 Tue May 19 13:38:21 2026 relations with 7+ large ideals: 12023901 Tue May 19 13:38:21 2026 commencing 2-way merge Tue May 19 13:39:19 2026 reduce to 27638475 relation sets and 26180266 unique ideals Tue May 19 13:39:19 2026 commencing full merge Tue May 19 13:48:45 2026 memory use: 2857.4 MB Tue May 19 13:48:50 2026 found 13693911 cycles, need 13496466 Tue May 19 13:48:57 2026 weight of 13496466 cycles is about 1160906397 (86.02/cycle) Tue May 19 13:48:57 2026 distribution of cycle lengths: Tue May 19 13:48:57 2026 1 relations: 1396521 Tue May 19 13:48:57 2026 2 relations: 1366629 Tue May 19 13:48:57 2026 3 relations: 1415399 Tue May 19 13:48:57 2026 4 relations: 1350939 Tue May 19 13:48:57 2026 5 relations: 1324950 Tue May 19 13:48:57 2026 6 relations: 1195822 Tue May 19 13:48:57 2026 7 relations: 1098122 Tue May 19 13:48:57 2026 8 relations: 963088 Tue May 19 13:48:57 2026 9 relations: 819790 Tue May 19 13:48:57 2026 10+ relations: 2565206 Tue May 19 13:48:57 2026 heaviest cycle: 20 relations Tue May 19 13:49:05 2026 commencing cycle optimization Tue May 19 13:49:39 2026 start with 81587567 relations Tue May 19 13:52:25 2026 pruned 1967153 relations Tue May 19 13:52:27 2026 memory use: 2693.4 MB Tue May 19 13:52:27 2026 distribution of cycle lengths: Tue May 19 13:52:27 2026 1 relations: 1396521 Tue May 19 13:52:27 2026 2 relations: 1397524 Tue May 19 13:52:27 2026 3 relations: 1463465 Tue May 19 13:52:27 2026 4 relations: 1387133 Tue May 19 13:52:27 2026 5 relations: 1360737 Tue May 19 13:52:27 2026 6 relations: 1220848 Tue May 19 13:52:27 2026 7 relations: 1117927 Tue May 19 13:52:27 2026 8 relations: 970342 Tue May 19 13:52:27 2026 9 relations: 817810 Tue May 19 13:52:27 2026 10+ relations: 2364159 Tue May 19 13:52:27 2026 heaviest cycle: 20 relations Tue May 19 13:53:00 2026 RelProcTime: 12064 Tue May 19 13:53:01 2026 elapsed time 03:21:06 Tue May 19 17:13:31 2026 Tue May 19 17:13:31 2026 Tue May 19 17:13:31 2026 Msieve v. 1.54 (SVN unknown) Tue May 19 17:13:31 2026 random seeds: f0d8b423 a598ae8f Tue May 19 17:13:31 2026 factoring 1163086978867051523584968276692891825544132844718312074362888157151283200617046117817566220548296795122105544914718737497173440160654565034073910773731683637077426357946585307 (175 digits) Tue May 19 17:13:33 2026 no P-1/P+1/ECM available, skipping Tue May 19 17:13:33 2026 commencing number field sieve (175-digit input) Tue May 19 17:13:33 2026 R0: 280848646492847257620100725670931 Tue May 19 17:13:33 2026 R1: 309000331320973239318249359 Tue May 19 17:13:33 2026 A0: 463986912075632959005850597093906381245696 Tue May 19 17:13:33 2026 A1: 40941916723762304091213685509006382 Tue May 19 17:13:33 2026 A2: -17011551996543172253673081013 Tue May 19 17:13:33 2026 A3: -183748775087207376398 Tue May 19 17:13:33 2026 A4: 20707238151806 Tue May 19 17:13:33 2026 A5: 226380 Tue May 19 17:13:33 2026 skew 16380185.92, size 5.440e-17, alpha -6.700, combined = 1.998e-13 rroots = 5 Tue May 19 17:13:33 2026 Tue May 19 17:13:33 2026 commencing linear algebra Tue May 19 17:13:33 2026 using VBITS=128 Tue May 19 17:13:35 2026 read 13496466 cycles Tue May 19 17:14:11 2026 cycles contain 44755201 unique relations Tue May 19 17:23:29 2026 read 44755201 relations Tue May 19 17:24:56 2026 using 20 quadratic characters above 4294917295 Tue May 19 17:29:51 2026 building initial matrix Tue May 19 17:43:42 2026 memory use: 6072.8 MB Tue May 19 17:43:55 2026 read 13496466 cycles Tue May 19 17:43:58 2026 matrix is 13496278 x 13496466 (4831.5 MB) with weight 1488218797 (110.27/col) Tue May 19 17:43:58 2026 sparse part has weight 1118094587 (82.84/col) Tue May 19 17:47:37 2026 filtering completed in 2 passes Tue May 19 17:47:41 2026 matrix is 13484820 x 13485006 (4830.5 MB) with weight 1487778035 (110.33/col) Tue May 19 17:47:41 2026 sparse part has weight 1117963495 (82.90/col) Tue May 19 17:48:58 2026 matrix starts at (0, 0) Tue May 19 17:49:01 2026 matrix is 13484820 x 13485006 (4830.5 MB) with weight 1487778035 (110.33/col) Tue May 19 17:49:01 2026 sparse part has weight 1117963495 (82.90/col) Tue May 19 17:49:01 2026 saving the first 112 matrix rows for later Tue May 19 17:49:04 2026 matrix includes 128 packed rows Tue May 19 17:49:09 2026 matrix is 13484708 x 13485006 (4480.1 MB) with weight 1097094628 (81.36/col) Tue May 19 17:49:09 2026 sparse part has weight 1012608245 (75.09/col) Tue May 19 17:49:10 2026 using GPU 0 (Tesla P100-PCIE-16GB) Tue May 19 17:49:10 2026 selected card has CUDA arch 6.0 Tue May 19 17:52:50 2026 commencing Lanczos iteration Tue May 19 17:52:51 2026 memory use: 9474.6 MB Tue May 19 17:54:29 2026 linear algebra at 0.2%, ETA 11h52m Tue May 19 17:54:54 2026 checking every 10000 dimensions, checkpointing every 1140000 dimensions Wed May 20 05:45:02 2026 lanczos halted after 105982 iterations (dim = 13484706) Wed May 20 05:45:42 2026 recovered 27 nontrivial dependencies Wed May 20 05:45:42 2026 BLanczosTime: 45129 Wed May 20 05:45:42 2026 Wed May 20 05:45:42 2026 commencing square root phase Wed May 20 05:45:42 2026 reading relations for dependency 1 Wed May 20 05:45:48 2026 read 6742049 cycles Wed May 20 05:46:06 2026 cycles contain 22371434 unique relations Wed May 20 05:51:04 2026 read 22371434 relations Wed May 20 05:54:09 2026 multiplying 22371434 relations Wed May 20 06:40:41 2026 multiply complete, coefficients have about 1269.57 million bits Wed May 20 06:40:55 2026 initial square root is modulo 495433 Wed May 20 07:28:12 2026 sqrtTime: 6150 Wed May 20 07:28:12 2026 p76 factor: 3312346073361718401691287146663361193530906890138990366924259340600242659053 Wed May 20 07:28:12 2026 p99 factor: 351136914171117421224898986338088647717410856260895776227738285897643168814408713983734835577286119 Wed May 20 07:28:12 2026 elapsed time 14:14:41