Mon Aug 3 10:15:44 2026 Mon Aug 3 10:15:44 2026 Mon Aug 3 10:15:44 2026 Msieve v. 1.54 (SVN Unversioned directory) Mon Aug 3 10:15:44 2026 random seeds: ef026109 9ec0c48a Mon Aug 3 10:15:44 2026 MPI process 0 of 1 Mon Aug 3 10:15:44 2026 Using 32 OpenMP threads Mon Aug 3 10:15:44 2026 factoring 35909119219098338461801092646764901514869916800926017766088034366684054660019225874040633181796400159788374312548609078716233178636741279176543141036887105915267769980157712176796515473 (185 digits) Mon Aug 3 10:15:45 2026 searching for 15-digit factors Mon Aug 3 10:15:46 2026 commencing number field sieve (185-digit input) Mon Aug 3 10:15:46 2026 R0: -553215651152479342603155468094524797 Mon Aug 3 10:15:46 2026 R1: 13302588190374235605893 Mon Aug 3 10:15:46 2026 A0: 45469379600219680636168307991215359745063784 Mon Aug 3 10:15:46 2026 A1: 9614958043607942570209816138098493614 Mon Aug 3 10:15:46 2026 A2: 33519818764015405373159721745 Mon Aug 3 10:15:46 2026 A3: -9403985217841520352911 Mon Aug 3 10:15:46 2026 A4: -102650886445014 Mon Aug 3 10:15:46 2026 A5: 1386000 Mon Aug 3 10:15:46 2026 skew 48402590.63, size 6.190e-18, alpha -7.764, combined = 5.470e-14 rroots = 3 Mon Aug 3 10:15:46 2026 Mon Aug 3 10:15:46 2026 commencing relation filtering Mon Aug 3 10:15:46 2026 setting target matrix density to 130.0 Mon Aug 3 10:15:46 2026 estimated available RAM is 257736.5 MB Mon Aug 3 10:15:46 2026 commencing duplicate removal, pass 1 Mon Aug 3 10:16:24 2026 error -1 reading relation 13619531 Mon Aug 3 10:16:28 2026 error -1 reading relation 15099774 Mon Aug 3 10:16:43 2026 error -1 reading relation 20729143 Mon Aug 3 10:17:02 2026 error -1 reading relation 27757070 Mon Aug 3 10:17:26 2026 error -1 reading relation 37008878 Mon Aug 3 10:17:53 2026 error -1 reading relation 46324906 Mon Aug 3 10:18:45 2026 error -1 reading relation 65410538 Mon Aug 3 10:19:15 2026 error -1 reading relation 75825075 Mon Aug 3 10:19:35 2026 error -1 reading relation 83035610 Mon Aug 3 10:19:38 2026 error -1 reading relation 84128588 Mon Aug 3 10:20:27 2026 error -1 reading relation 100225074 Mon Aug 3 10:20:50 2026 error -1 reading relation 108210967 Mon Aug 3 10:21:48 2026 error -1 reading relation 129534454 Mon Aug 3 10:22:02 2026 error -1 reading relation 134243963 Mon Aug 3 10:22:07 2026 error -1 reading relation 135864902 Mon Aug 3 10:22:14 2026 error -1 reading relation 138240600 Mon Aug 3 10:22:24 2026 error -1 reading relation 141916968 Mon Aug 3 10:23:04 2026 error -1 reading relation 155672178 Mon Aug 3 10:23:08 2026 error -1 reading relation 156933518 Mon Aug 3 10:23:44 2026 error -15 reading relation 169131630 Mon Aug 3 10:25:38 2026 error -1 reading relation 207267547 Mon Aug 3 10:25:49 2026 error -1 reading relation 211196689 Mon Aug 3 10:26:50 2026 error -1 reading relation 231627088 Mon Aug 3 10:26:53 2026 error -1 reading relation 232657633 Mon Aug 3 10:27:03 2026 error -1 reading relation 236250895 Mon Aug 3 10:27:11 2026 error -1 reading relation 239181148 Mon Aug 3 10:27:22 2026 error -1 reading relation 242962064 Mon Aug 3 10:27:30 2026 error -1 reading relation 245496229 Mon Aug 3 10:27:39 2026 error -1 reading relation 248167838 Mon Aug 3 10:28:22 2026 error -1 reading relation 261346026 Mon Aug 3 10:28:44 2026 error -1 reading relation 268395900 Mon Aug 3 10:29:11 2026 error -1 reading relation 278471193 Mon Aug 3 10:29:23 2026 error -1 reading relation 282808326 Mon Aug 3 10:29:45 2026 error -1 reading relation 290160318 Mon Aug 3 10:29:59 2026 error -1 reading relation 295203033 Mon Aug 3 10:30:37 2026 error -1 reading relation 307540493 Mon Aug 3 10:30:39 2026 error -1 reading relation 308273145 Mon Aug 3 10:30:43 2026 error -1 reading relation 309694033 Mon Aug 3 10:30:50 2026 error -1 reading relation 311647344 Mon Aug 3 10:31:04 2026 error -6 reading relation 315817137 Mon Aug 3 10:31:07 2026 error -1 reading relation 317046180 Mon Aug 3 10:31:24 2026 error -1 reading relation 323165926 Mon Aug 3 10:31:55 2026 error -1 reading relation 333993625 Mon Aug 3 10:31:56 2026 error -15 reading relation 334363860 Mon Aug 3 10:31:58 2026 error -1 reading relation 334925867 Mon Aug 3 10:32:00 2026 skipped 331 malformed relations Mon Aug 3 10:32:00 2026 found 73581637 hash collisions in 335526451 relations Mon Aug 3 10:32:43 2026 added 121681 free relations Mon Aug 3 10:32:43 2026 commencing duplicate removal, pass 2 Mon Aug 3 10:46:44 2026 found 79930348 duplicates and 255717784 unique relations Mon Aug 3 10:46:44 2026 memory use: 1705.5 MB Mon Aug 3 10:46:44 2026 reading ideals above 720000 Mon Aug 3 10:46:45 2026 commencing singleton removal, initial pass Mon Aug 3 11:36:29 2026 memory use: 6024.0 MB Mon Aug 3 11:36:30 2026 reading all ideals from disk Mon Aug 3 11:36:40 2026 memory use: 12570.8 MB Mon Aug 3 11:38:19 2026 keeping 246819057 ideals with weight <= 200, target excess is 1356500 Mon Aug 3 11:40:14 2026 commencing in-memory singleton removal Mon Aug 3 11:40:22 2026 begin with 255717784 relations and 246819057 unique ideals Mon Aug 3 11:40:55 2026 reduce to 153465825 relations and 133590833 ideals in 16 passes Mon Aug 3 11:40:55 2026 max relations containing the same ideal: 151 Mon Aug 3 11:43:34 2026 removing 12805871 relations and 10805871 ideals in 2000000 cliques Mon Aug 3 11:43:44 2026 commencing in-memory singleton removal Mon Aug 3 11:43:48 2026 begin with 140659954 relations and 133590833 unique ideals Mon Aug 3 11:44:03 2026 reduce to 139811046 relations and 121921720 ideals in 9 passes Mon Aug 3 11:44:03 2026 max relations containing the same ideal: 143 Mon Aug 3 11:46:30 2026 removing 9837459 relations and 7837459 ideals in 2000000 cliques Mon Aug 3 11:46:39 2026 commencing in-memory singleton removal Mon Aug 3 11:46:44 2026 begin with 129973587 relations and 121921720 unique ideals Mon Aug 3 11:46:55 2026 reduce to 129399264 relations and 113501362 ideals in 8 passes Mon Aug 3 11:46:55 2026 max relations containing the same ideal: 135 Mon Aug 3 11:48:59 2026 removing 8956188 relations and 6956188 ideals in 2000000 cliques Mon Aug 3 11:49:07 2026 commencing in-memory singleton removal Mon Aug 3 11:49:11 2026 begin with 120443076 relations and 113501362 unique ideals Mon Aug 3 11:49:24 2026 reduce to 119921611 relations and 106016054 ideals in 9 passes Mon Aug 3 11:49:24 2026 max relations containing the same ideal: 130 Mon Aug 3 11:51:34 2026 removing 8525530 relations and 6525530 ideals in 2000000 cliques Mon Aug 3 11:51:42 2026 commencing in-memory singleton removal Mon Aug 3 11:51:45 2026 begin with 111396081 relations and 106016054 unique ideals Mon Aug 3 11:51:55 2026 reduce to 110888799 relations and 98975372 ideals in 8 passes Mon Aug 3 11:51:55 2026 max relations containing the same ideal: 123 Mon Aug 3 11:54:10 2026 removing 8282737 relations and 6282737 ideals in 2000000 cliques Mon Aug 3 11:54:17 2026 commencing in-memory singleton removal Mon Aug 3 11:54:20 2026 begin with 102606062 relations and 98975372 unique ideals Mon Aug 3 11:54:28 2026 reduce to 102088299 relations and 92166296 ideals in 7 passes Mon Aug 3 11:54:28 2026 max relations containing the same ideal: 117 Mon Aug 3 11:56:16 2026 removing 8147583 relations and 6147583 ideals in 2000000 cliques Mon Aug 3 11:56:23 2026 commencing in-memory singleton removal Mon Aug 3 11:56:26 2026 begin with 93940716 relations and 92166296 unique ideals Mon Aug 3 11:56:34 2026 reduce to 93400134 relations and 85468685 ideals in 8 passes Mon Aug 3 11:56:34 2026 max relations containing the same ideal: 107 Mon Aug 3 11:58:15 2026 removing 8081819 relations and 6081819 ideals in 2000000 cliques Mon Aug 3 11:58:22 2026 commencing in-memory singleton removal Mon Aug 3 11:58:25 2026 begin with 85318315 relations and 85468685 unique ideals Mon Aug 3 11:58:32 2026 reduce to 84736303 relations and 78794026 ideals in 8 passes Mon Aug 3 11:58:32 2026 max relations containing the same ideal: 102 Mon Aug 3 12:00:03 2026 removing 8082657 relations and 6082657 ideals in 2000000 cliques Mon Aug 3 12:00:11 2026 commencing in-memory singleton removal Mon Aug 3 12:00:13 2026 begin with 76653646 relations and 78794026 unique ideals Mon Aug 3 12:00:20 2026 reduce to 76013871 relations and 72058530 ideals in 9 passes Mon Aug 3 12:00:20 2026 max relations containing the same ideal: 96 Mon Aug 3 12:01:41 2026 removing 8132092 relations and 6132092 ideals in 2000000 cliques Mon Aug 3 12:01:47 2026 commencing in-memory singleton removal Mon Aug 3 12:01:49 2026 begin with 67881779 relations and 72058530 unique ideals Mon Aug 3 12:01:55 2026 reduce to 67161222 relations and 65189588 ideals in 8 passes Mon Aug 3 12:01:55 2026 max relations containing the same ideal: 89 Mon Aug 3 12:03:09 2026 removing 2265330 relations and 1867237 ideals in 398093 cliques Mon Aug 3 12:03:13 2026 commencing in-memory singleton removal Mon Aug 3 12:03:15 2026 begin with 64895892 relations and 65189588 unique ideals Mon Aug 3 12:03:20 2026 reduce to 64841210 relations and 63267401 ideals in 6 passes Mon Aug 3 12:03:20 2026 max relations containing the same ideal: 86 Mon Aug 3 12:04:46 2026 relations with 0 large ideals: 5154 Mon Aug 3 12:04:46 2026 relations with 1 large ideals: 20383 Mon Aug 3 12:04:46 2026 relations with 2 large ideals: 303846 Mon Aug 3 12:04:46 2026 relations with 3 large ideals: 1946116 Mon Aug 3 12:04:46 2026 relations with 4 large ideals: 6736237 Mon Aug 3 12:04:46 2026 relations with 5 large ideals: 13902937 Mon Aug 3 12:04:46 2026 relations with 6 large ideals: 17907324 Mon Aug 3 12:04:46 2026 relations with 7+ large ideals: 24019213 Mon Aug 3 12:04:46 2026 commencing 2-way merge Mon Aug 3 12:06:17 2026 reduce to 41039918 relation sets and 39466109 unique ideals Mon Aug 3 12:06:17 2026 commencing full merge Mon Aug 3 12:45:05 2026 memory use: 4915.1 MB Mon Aug 3 12:45:14 2026 found 17942547 cycles, need 17886309 Mon Aug 3 12:45:25 2026 weight of 17886309 cycles is about 2325246205 (130.00/cycle) Mon Aug 3 12:45:25 2026 distribution of cycle lengths: Mon Aug 3 12:45:25 2026 1 relations: 979626 Mon Aug 3 12:45:25 2026 2 relations: 1218847 Mon Aug 3 12:45:25 2026 3 relations: 1312865 Mon Aug 3 12:45:25 2026 4 relations: 1283618 Mon Aug 3 12:45:25 2026 5 relations: 1269967 Mon Aug 3 12:45:25 2026 6 relations: 1216755 Mon Aug 3 12:45:25 2026 7 relations: 1184648 Mon Aug 3 12:45:25 2026 8 relations: 1113694 Mon Aug 3 12:45:25 2026 9 relations: 1059823 Mon Aug 3 12:45:25 2026 10+ relations: 7246466 Mon Aug 3 12:45:25 2026 heaviest cycle: 28 relations Mon Aug 3 12:45:35 2026 commencing cycle optimization Mon Aug 3 12:47:19 2026 start with 159816123 relations Mon Aug 3 13:01:18 2026 pruned 6903713 relations Mon Aug 3 13:01:18 2026 memory use: 4304.5 MB Mon Aug 3 13:01:19 2026 distribution of cycle lengths: Mon Aug 3 13:01:19 2026 1 relations: 979626 Mon Aug 3 13:01:19 2026 2 relations: 1251537 Mon Aug 3 13:01:19 2026 3 relations: 1369659 Mon Aug 3 13:01:19 2026 4 relations: 1335022 Mon Aug 3 13:01:19 2026 5 relations: 1327419 Mon Aug 3 13:01:19 2026 6 relations: 1269087 Mon Aug 3 13:01:19 2026 7 relations: 1236114 Mon Aug 3 13:01:19 2026 8 relations: 1160009 Mon Aug 3 13:01:19 2026 9 relations: 1101975 Mon Aug 3 13:01:19 2026 10+ relations: 6855861 Mon Aug 3 13:01:19 2026 heaviest cycle: 28 relations Mon Aug 3 13:02:28 2026 RelProcTime: 10002 Mon Aug 3 13:02:28 2026 Mon Aug 3 13:02:28 2026 commencing linear algebra Mon Aug 3 13:02:28 2026 using VBITS=256 Mon Aug 3 13:02:28 2026 stopping after matrix build Mon Aug 3 13:02:28 2026 initialized process (0,0) of 1 x 1 grid Mon Aug 3 13:02:32 2026 read 17886309 cycles Mon Aug 3 13:03:59 2026 cycles contain 63913413 unique relations Mon Aug 3 13:12:07 2026 read 63913413 relations Mon Aug 3 13:12:20 2026 using 20 quadratic characters above 4294917295 Mon Aug 3 13:12:31 2026 building initial matrix Mon Aug 3 13:47:34 2026 memory use: 8846.3 MB Mon Aug 3 13:48:02 2026 read 17886309 cycles Mon Aug 3 13:48:08 2026 matrix is 17886132 x 17886309 (9066.3 MB) with weight 2727901649 (152.51/col) Mon Aug 3 13:48:08 2026 sparse part has weight 2162035524 (120.88/col) Mon Aug 3 13:58:07 2026 filtering completed in 2 passes Mon Aug 3 13:58:16 2026 matrix is 17885657 x 17885834 (9066.2 MB) with weight 2727879887 (152.52/col) Mon Aug 3 13:58:16 2026 sparse part has weight 2162029707 (120.88/col) Mon Aug 3 14:01:07 2026 BLanczosTime: 3519 Mon Aug 3 14:01:07 2026 elapsed time 03:45:23 Mon Aug 3 14:02:16 2026 Mon Aug 3 14:02:16 2026 Mon Aug 3 14:02:16 2026 Msieve v. 1.54 (SVN Unversioned directory) Mon Aug 3 14:02:16 2026 random seeds: 5e51a129 8f67cd2c Mon Aug 3 14:02:16 2026 MPI process 0 of 1 Mon Aug 3 14:02:16 2026 Using 64 OpenMP threads Mon Aug 3 14:02:16 2026 factoring 35909119219098338461801092646764901514869916800926017766088034366684054660019225874040633181796400159788374312548609078716233178636741279176543141036887105915267769980157712176796515473 (185 digits) Mon Aug 3 14:02:17 2026 searching for 15-digit factors Mon Aug 3 14:02:18 2026 commencing number field sieve (185-digit input) Mon Aug 3 14:02:18 2026 R0: -553215651152479342603155468094524797 Mon Aug 3 14:02:18 2026 R1: 13302588190374235605893 Mon Aug 3 14:02:18 2026 A0: 45469379600219680636168307991215359745063784 Mon Aug 3 14:02:18 2026 A1: 9614958043607942570209816138098493614 Mon Aug 3 14:02:18 2026 A2: 33519818764015405373159721745 Mon Aug 3 14:02:18 2026 A3: -9403985217841520352911 Mon Aug 3 14:02:18 2026 A4: -102650886445014 Mon Aug 3 14:02:18 2026 A5: 1386000 Mon Aug 3 14:02:18 2026 skew 48402590.63, size 6.190e-18, alpha -7.764, combined = 5.470e-14 rroots = 3 Mon Aug 3 14:02:18 2026 Mon Aug 3 14:02:18 2026 commencing linear algebra Mon Aug 3 14:02:18 2026 using VBITS=256 Mon Aug 3 14:02:18 2026 skipping matrix build Mon Aug 3 14:02:18 2026 initialized process (0,0) of 1 x 1 grid Mon Aug 3 14:02:31 2026 matrix starts at (0, 0) Mon Aug 3 14:02:34 2026 matrix is 17885657 x 17885834 (9066.2 MB) with weight 2727879887 (152.52/col) Mon Aug 3 14:02:34 2026 sparse part has weight 2162029707 (120.88/col) Mon Aug 3 14:02:34 2026 saving the first 240 matrix rows for later Mon Aug 3 14:02:38 2026 matrix includes 256 packed rows Mon Aug 3 14:02:43 2026 matrix is 17885417 x 17885834 (8245.1 MB) with weight 1991839586 (111.36/col) Mon Aug 3 14:02:43 2026 sparse part has weight 1875233048 (104.84/col) Mon Aug 3 14:02:43 2026 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB Mon Aug 3 14:03:27 2026 commencing Lanczos iteration (64 threads) Mon Aug 3 14:03:27 2026 memory use: 11652.9 MB Mon Aug 3 14:06:11 2026 linear algebra at 0.2%, ETA 26h13m Mon Aug 3 14:10:09 2026 checking every 10000 dimensions, checkpointing every 700000 dimensions Tue Aug 4 15:25:03 2026 lanczos halted after 70076 iterations (dim = 17885417) Tue Aug 4 15:26:49 2026 recovered 32 nontrivial dependencies Tue Aug 4 15:26:56 2026 BLanczosTime: 91478 Tue Aug 4 15:26:56 2026 Tue Aug 4 15:26:56 2026 commencing square root phase Tue Aug 4 15:26:56 2026 handling dependencies 1 to 64 Tue Aug 4 15:26:56 2026 reading relations for dependency 1 Tue Aug 4 15:27:00 2026 read 8941854 cycles Tue Aug 4 15:27:56 2026 cycles contain 31959122 unique relations Tue Aug 4 15:35:54 2026 read 31959122 relations Tue Aug 4 15:43:18 2026 multiplying 31959122 relations Tue Aug 4 15:51:05 2026 multiply complete, coefficients have about 1914.83 million bits Tue Aug 4 15:51:14 2026 initial square root is modulo 388488833 Tue Aug 4 16:19:42 2026 GCD is N, no factor found Tue Aug 4 16:19:42 2026 reading relations for dependency 2 Tue Aug 4 16:19:47 2026 read 8945902 cycles Tue Aug 4 16:20:29 2026 cycles contain 31961950 unique relations Tue Aug 4 16:27:23 2026 read 31961950 relations Tue Aug 4 16:31:59 2026 multiplying 31961950 relations Tue Aug 4 16:37:06 2026 multiply complete, coefficients have about 1915.01 million bits Tue Aug 4 16:37:13 2026 initial square root is modulo 389217343 Tue Aug 4 16:56:46 2026 GCD is 1, no factor found Tue Aug 4 16:56:46 2026 reading relations for dependency 3 Tue Aug 4 16:56:48 2026 read 8943715 cycles Tue Aug 4 16:57:05 2026 cycles contain 31947870 unique relations Tue Aug 4 17:03:05 2026 read 31947870 relations Tue Aug 4 17:06:50 2026 multiplying 31947870 relations Tue Aug 4 17:12:11 2026 multiply complete, coefficients have about 1914.15 million bits Tue Aug 4 17:12:18 2026 initial square root is modulo 385771363 Tue Aug 4 17:31:54 2026 sqrtTime: 7498 Tue Aug 4 17:31:54 2026 p77 factor: 15058285395687049946073234771340121911771642197678850747767145256706516737617 Tue Aug 4 17:31:54 2026 p109 factor: 2384675165565883307386794970524718083520027314468972278809282355179613453180149460901383063077945622963464769 Tue Aug 4 17:31:54 2026 elapsed time 27:29:38