Wed Mar 25 08:48:55 2026 Wed Mar 25 08:48:55 2026 Wed Mar 25 08:48:55 2026 Msieve v. 1.54 (SVN Unversioned directory) Wed Mar 25 08:48:55 2026 random seeds: 69053ac5 e612cc66 Wed Mar 25 08:48:55 2026 Using 8 OpenMP threads Wed Mar 25 08:48:55 2026 factoring 1337740967120398007777115216545587584226016344573251454726609988368294324094223837115807596746766042629636610240587336193202100525611173752555982787625758753 (157 digits) Wed Mar 25 08:48:55 2026 searching for 15-digit factors Wed Mar 25 08:48:56 2026 commencing number field sieve (157-digit input) Wed Mar 25 08:48:56 2026 R0: -3107786164286715068585072862454 Wed Mar 25 08:48:56 2026 R1: 123738107053836338093 Wed Mar 25 08:48:56 2026 A0: -3494418501561753548415159671461242300375 Wed Mar 25 08:48:56 2026 A1: 244680185597425808581144648428055 Wed Mar 25 08:48:56 2026 A2: 168208269604986246809477847 Wed Mar 25 08:48:56 2026 A3: -2259211490294861443 Wed Mar 25 08:48:56 2026 A4: -420940560024 Wed Mar 25 08:48:56 2026 A5: 13860 Wed Mar 25 08:48:56 2026 skew 15288987.73, size 4.821e-15, alpha -8.916, combined = 2.952e-12 rroots = 3 Wed Mar 25 08:48:56 2026 Wed Mar 25 08:48:56 2026 commencing relation filtering Wed Mar 25 08:48:56 2026 target densities: 100 120 140 Wed Mar 25 08:48:56 2026 estimated available RAM is 78540.1 MB Wed Mar 25 08:48:56 2026 commencing duplicate removal, pass 1 Wed Mar 25 08:53:07 2026 error -1 reading relation 90621795 Wed Mar 25 08:53:20 2026 error -1 reading relation 95098924 Wed Mar 25 08:53:25 2026 error -1 reading relation 96815214 Wed Mar 25 08:53:32 2026 error -1 reading relation 99131077 Wed Mar 25 08:53:33 2026 error -1 reading relation 99468075 Wed Mar 25 08:54:50 2026 skipped 29 malformed relations Wed Mar 25 08:54:50 2026 found 17516869 hash collisions in 127310247 relations Wed Mar 25 08:55:07 2026 added 122695 free relations Wed Mar 25 08:55:07 2026 commencing duplicate removal, pass 2 Wed Mar 25 08:56:27 2026 found 16291122 duplicates and 111141820 unique relations Wed Mar 25 08:56:27 2026 memory use: 554.4 MB Wed Mar 25 08:56:27 2026 reading ideals above 720000 Wed Mar 25 08:56:28 2026 commencing singleton removal, initial pass Wed Mar 25 09:08:54 2026 memory use: 3012.0 MB Wed Mar 25 09:08:55 2026 reading all ideals from disk Wed Mar 25 09:09:08 2026 memory use: 4806.8 MB Wed Mar 25 09:09:28 2026 keeping 111420319 ideals with weight <= 200, target excess is 588090 Wed Mar 25 09:09:43 2026 commencing in-memory singleton removal Wed Mar 25 09:09:44 2026 begin with 111141820 relations and 111420319 unique ideals Wed Mar 25 09:10:04 2026 reduce to 51571146 relations and 43113190 ideals in 17 passes Wed Mar 25 09:10:04 2026 max relations containing the same ideal: 128 Wed Mar 25 09:10:38 2026 removing 6510022 relations and 5510022 ideals in 1000000 cliques Wed Mar 25 09:10:40 2026 commencing in-memory singleton removal Wed Mar 25 09:10:41 2026 begin with 45061124 relations and 43113190 unique ideals Wed Mar 25 09:10:49 2026 reduce to 44451256 relations and 36978004 ideals in 11 passes Wed Mar 25 09:10:49 2026 max relations containing the same ideal: 113 Wed Mar 25 09:11:16 2026 removing 4859073 relations and 3859073 ideals in 1000000 cliques Wed Mar 25 09:11:18 2026 commencing in-memory singleton removal Wed Mar 25 09:11:19 2026 begin with 39592183 relations and 36978004 unique ideals Wed Mar 25 09:11:25 2026 reduce to 39187141 relations and 32704702 ideals in 10 passes Wed Mar 25 09:11:25 2026 max relations containing the same ideal: 103 Wed Mar 25 09:11:50 2026 removing 4347596 relations and 3347596 ideals in 1000000 cliques Wed Mar 25 09:11:52 2026 commencing in-memory singleton removal Wed Mar 25 09:11:52 2026 begin with 34839545 relations and 32704702 unique ideals Wed Mar 25 09:11:56 2026 reduce to 34471135 relations and 28979888 ideals in 8 passes Wed Mar 25 09:11:56 2026 max relations containing the same ideal: 93 Wed Mar 25 09:12:19 2026 removing 4090044 relations and 3090044 ideals in 1000000 cliques Wed Mar 25 09:12:20 2026 commencing in-memory singleton removal Wed Mar 25 09:12:21 2026 begin with 30381091 relations and 28979888 unique ideals Wed Mar 25 09:12:25 2026 reduce to 30016046 relations and 25515346 ideals in 9 passes Wed Mar 25 09:12:25 2026 max relations containing the same ideal: 84 Wed Mar 25 09:12:45 2026 removing 3932137 relations and 2932137 ideals in 1000000 cliques Wed Mar 25 09:12:46 2026 commencing in-memory singleton removal Wed Mar 25 09:12:47 2026 begin with 26083909 relations and 25515346 unique ideals Wed Mar 25 09:12:50 2026 reduce to 25704417 relations and 22192569 ideals in 8 passes Wed Mar 25 09:12:50 2026 max relations containing the same ideal: 77 Wed Mar 25 09:13:07 2026 removing 3834985 relations and 2834985 ideals in 1000000 cliques Wed Mar 25 09:13:08 2026 commencing in-memory singleton removal Wed Mar 25 09:13:08 2026 begin with 21869432 relations and 22192569 unique ideals Wed Mar 25 09:13:11 2026 reduce to 21453401 relations and 18927537 ideals in 8 passes Wed Mar 25 09:13:11 2026 max relations containing the same ideal: 69 Wed Mar 25 09:13:25 2026 removing 3780378 relations and 2780378 ideals in 1000000 cliques Wed Mar 25 09:13:26 2026 commencing in-memory singleton removal Wed Mar 25 09:13:26 2026 begin with 17673023 relations and 18927537 unique ideals Wed Mar 25 09:13:29 2026 reduce to 17189928 relations and 15644382 ideals in 9 passes Wed Mar 25 09:13:29 2026 max relations containing the same ideal: 60 Wed Mar 25 09:13:40 2026 removing 3350582 relations and 2487221 ideals in 863361 cliques Wed Mar 25 09:13:41 2026 commencing in-memory singleton removal Wed Mar 25 09:13:41 2026 begin with 13839346 relations and 15644382 unique ideals Wed Mar 25 09:13:44 2026 reduce to 13367668 relations and 12664654 ideals in 10 passes Wed Mar 25 09:13:44 2026 max relations containing the same ideal: 53 Wed Mar 25 09:13:52 2026 removing 170450 relations and 149621 ideals in 20829 cliques Wed Mar 25 09:13:52 2026 commencing in-memory singleton removal Wed Mar 25 09:13:52 2026 begin with 13197218 relations and 12664654 unique ideals Wed Mar 25 09:13:53 2026 reduce to 13196015 relations and 12513829 ideals in 5 passes Wed Mar 25 09:13:53 2026 max relations containing the same ideal: 53 Wed Mar 25 09:13:54 2026 relations with 0 large ideals: 1938 Wed Mar 25 09:13:54 2026 relations with 1 large ideals: 22800 Wed Mar 25 09:13:54 2026 relations with 2 large ideals: 263092 Wed Mar 25 09:13:54 2026 relations with 3 large ideals: 1236744 Wed Mar 25 09:13:54 2026 relations with 4 large ideals: 2948144 Wed Mar 25 09:13:54 2026 relations with 5 large ideals: 3887758 Wed Mar 25 09:13:54 2026 relations with 6 large ideals: 3010759 Wed Mar 25 09:13:54 2026 relations with 7+ large ideals: 1824780 Wed Mar 25 09:13:54 2026 commencing 2-way merge Wed Mar 25 09:14:04 2026 reduce to 7697541 relation sets and 7015355 unique ideals Wed Mar 25 09:14:05 2026 Wed Mar 25 09:14:05 2026 trying target density 100 Wed Mar 25 09:14:05 2026 commencing full merge Wed Mar 25 09:17:09 2026 memory use: 863.5 MB Wed Mar 25 09:17:11 2026 found 3665841 cycles, need 3581555 Wed Mar 25 09:17:13 2026 weight of 3581555 cycles is about 358735531 (100.16/cycle) Wed Mar 25 09:17:13 2026 distribution of cycle lengths: Wed Mar 25 09:17:13 2026 1 relations: 265545 Wed Mar 25 09:17:13 2026 2 relations: 279620 Wed Mar 25 09:17:13 2026 3 relations: 296559 Wed Mar 25 09:17:13 2026 4 relations: 294125 Wed Mar 25 09:17:13 2026 5 relations: 294195 Wed Mar 25 09:17:13 2026 6 relations: 287581 Wed Mar 25 09:17:13 2026 7 relations: 272847 Wed Mar 25 09:17:13 2026 8 relations: 255498 Wed Mar 25 09:17:13 2026 9 relations: 232326 Wed Mar 25 09:17:13 2026 10+ relations: 1103259 Wed Mar 25 09:17:13 2026 heaviest cycle: 23 relations Wed Mar 25 09:17:14 2026 target density 100 succeeded, avg weight 100.16 Wed Mar 25 09:17:14 2026 commencing cycle optimization Wed Mar 25 09:17:25 2026 start with 26738317 relations Wed Mar 25 09:18:35 2026 pruned 900032 relations Wed Mar 25 09:18:35 2026 memory use: 804.4 MB Wed Mar 25 09:18:35 2026 distribution of cycle lengths: Wed Mar 25 09:18:35 2026 1 relations: 265545 Wed Mar 25 09:18:35 2026 2 relations: 286292 Wed Mar 25 09:18:35 2026 3 relations: 307519 Wed Mar 25 09:18:35 2026 4 relations: 304401 Wed Mar 25 09:18:35 2026 5 relations: 306205 Wed Mar 25 09:18:35 2026 6 relations: 297757 Wed Mar 25 09:18:35 2026 7 relations: 283878 Wed Mar 25 09:18:35 2026 8 relations: 263146 Wed Mar 25 09:18:35 2026 9 relations: 238564 Wed Mar 25 09:18:35 2026 10+ relations: 1028248 Wed Mar 25 09:18:35 2026 heaviest cycle: 23 relations Wed Mar 25 09:18:46 2026 Wed Mar 25 09:18:46 2026 trying target density 120 Wed Mar 25 09:18:46 2026 commencing full merge Wed Mar 25 09:22:32 2026 memory use: 877.2 MB Wed Mar 25 09:22:34 2026 found 3437219 cycles, need 3381555 Wed Mar 25 09:22:35 2026 weight of 3381555 cycles is about 406047688 (120.08/cycle) Wed Mar 25 09:22:35 2026 distribution of cycle lengths: Wed Mar 25 09:22:35 2026 1 relations: 178247 Wed Mar 25 09:22:35 2026 2 relations: 213305 Wed Mar 25 09:22:35 2026 3 relations: 231424 Wed Mar 25 09:22:35 2026 4 relations: 233547 Wed Mar 25 09:22:35 2026 5 relations: 238414 Wed Mar 25 09:22:35 2026 6 relations: 236291 Wed Mar 25 09:22:35 2026 7 relations: 231371 Wed Mar 25 09:22:35 2026 8 relations: 223290 Wed Mar 25 09:22:35 2026 9 relations: 210779 Wed Mar 25 09:22:35 2026 10+ relations: 1384887 Wed Mar 25 09:22:35 2026 heaviest cycle: 27 relations Wed Mar 25 09:22:36 2026 target density 120 succeeded, avg weight 120.08 Wed Mar 25 09:22:36 2026 commencing cycle optimization Wed Mar 25 09:22:47 2026 start with 30145290 relations Wed Mar 25 09:24:23 2026 pruned 1219825 relations Wed Mar 25 09:24:23 2026 memory use: 839.6 MB Wed Mar 25 09:24:23 2026 distribution of cycle lengths: Wed Mar 25 09:24:23 2026 1 relations: 178247 Wed Mar 25 09:24:23 2026 2 relations: 218489 Wed Mar 25 09:24:23 2026 3 relations: 240461 Wed Mar 25 09:24:23 2026 4 relations: 242541 Wed Mar 25 09:24:23 2026 5 relations: 249088 Wed Mar 25 09:24:23 2026 6 relations: 246430 Wed Mar 25 09:24:23 2026 7 relations: 242844 Wed Mar 25 09:24:23 2026 8 relations: 232783 Wed Mar 25 09:24:23 2026 9 relations: 220275 Wed Mar 25 09:24:23 2026 10+ relations: 1310397 Wed Mar 25 09:24:23 2026 heaviest cycle: 27 relations Wed Mar 25 09:24:34 2026 Wed Mar 25 09:24:34 2026 trying target density 140 Wed Mar 25 09:24:34 2026 commencing full merge Wed Mar 25 09:32:14 2026 memory use: 333.1 MB Wed Mar 25 09:32:14 2026 found 35044 cycles, need 1873790 Wed Mar 25 09:32:14 2026 too few cycles, matrix probably cannot build Wed Mar 25 09:32:14 2026 target density 140: merge failed Wed Mar 25 09:32:15 2026 RelProcTime: 2599 Wed Mar 25 09:32:15 2026 Wed Mar 25 09:32:15 2026 commencing linear algebra Wed Mar 25 09:32:15 2026 using VBITS=256 Wed Mar 25 09:32:15 2026 building matrices for all .cyc.## files Wed Mar 25 09:32:15 2026 Wed Mar 25 09:32:15 2026 building matrix for density 100 Wed Mar 25 09:32:16 2026 read 3581555 cycles Wed Mar 25 09:32:22 2026 cycles contain 12731845 unique relations Wed Mar 25 09:33:08 2026 read 12731845 relations Wed Mar 25 09:33:12 2026 using 20 quadratic characters above 4294917295 Wed Mar 25 09:33:19 2026 building initial matrix Wed Mar 25 09:35:50 2026 memory use: 1733.4 MB Wed Mar 25 09:35:51 2026 read 3581555 cycles Wed Mar 25 09:35:52 2026 matrix is 3581373 x 3581555 (1455.8 MB) with weight 455538244 (127.19/col) Wed Mar 25 09:35:52 2026 sparse part has weight 338660886 (94.56/col) Wed Mar 25 09:36:34 2026 filtering completed in 2 passes Wed Mar 25 09:36:35 2026 matrix is 3580229 x 3580409 (1455.7 MB) with weight 455473414 (127.21/col) Wed Mar 25 09:36:35 2026 sparse part has weight 338635131 (94.58/col) Wed Mar 25 09:36:44 2026 Wed Mar 25 09:36:44 2026 building matrix for density 120 Wed Mar 25 09:36:44 2026 read 3381555 cycles Wed Mar 25 09:36:51 2026 cycles contain 12734222 unique relations Wed Mar 25 09:37:09 2026 read 12734222 relations Wed Mar 25 09:37:12 2026 using 20 quadratic characters above 4294917295 Wed Mar 25 09:37:17 2026 building initial matrix Wed Mar 25 09:40:00 2026 memory use: 1739.4 MB Wed Mar 25 09:40:02 2026 read 3381555 cycles Wed Mar 25 09:40:03 2026 matrix is 3381375 x 3381555 (1596.6 MB) with weight 494937124 (146.36/col) Wed Mar 25 09:40:03 2026 sparse part has weight 377957671 (111.77/col) Wed Mar 25 09:40:40 2026 filtering completed in 2 passes Wed Mar 25 09:40:41 2026 matrix is 3380915 x 3381093 (1596.5 MB) with weight 494909111 (146.38/col) Wed Mar 25 09:40:41 2026 sparse part has weight 377946725 (111.78/col) Wed Mar 25 09:40:51 2026 BLanczosTime: 516 Wed Mar 25 09:40:51 2026 elapsed time 00:51:56 Wed Mar 25 09:55:48 2026 Wed Mar 25 09:55:48 2026 Wed Mar 25 09:55:48 2026 Msieve v. 1.54 (SVN Unversioned directory) Wed Mar 25 09:55:48 2026 random seeds: b0a62fae 7571fda6 Wed Mar 25 09:55:48 2026 Using 8 OpenMP threads Wed Mar 25 09:55:48 2026 factoring 1337740967120398007777115216545587584226016344573251454726609988368294324094223837115807596746766042629636610240587336193202100525611173752555982787625758753 (157 digits) Wed Mar 25 09:55:49 2026 searching for 15-digit factors Wed Mar 25 09:55:49 2026 commencing number field sieve (157-digit input) Wed Mar 25 09:55:49 2026 R0: -3107786164286715068585072862454 Wed Mar 25 09:55:49 2026 R1: 123738107053836338093 Wed Mar 25 09:55:49 2026 A0: -3494418501561753548415159671461242300375 Wed Mar 25 09:55:49 2026 A1: 244680185597425808581144648428055 Wed Mar 25 09:55:49 2026 A2: 168208269604986246809477847 Wed Mar 25 09:55:49 2026 A3: -2259211490294861443 Wed Mar 25 09:55:49 2026 A4: -420940560024 Wed Mar 25 09:55:49 2026 A5: 13860 Wed Mar 25 09:55:49 2026 skew 15288987.73, size 4.821e-15, alpha -8.916, combined = 2.952e-12 rroots = 3 Wed Mar 25 09:55:49 2026 Wed Mar 25 09:55:49 2026 commencing linear algebra Wed Mar 25 09:55:49 2026 using VBITS=256 Wed Mar 25 09:55:49 2026 selected density 120 for linear algebra Wed Mar 25 09:55:50 2026 matrix starts at (0, 0) Wed Mar 25 09:55:50 2026 matrix is 3380915 x 3381093 (1596.5 MB) with weight 494909111 (146.38/col) Wed Mar 25 09:55:50 2026 sparse part has weight 377946725 (111.78/col) Wed Mar 25 09:55:50 2026 saving the first 240 matrix rows for later Wed Mar 25 09:55:52 2026 matrix includes 256 packed rows Wed Mar 25 09:55:52 2026 matrix is 3380675 x 3381093 (1421.7 MB) with weight 344315315 (101.84/col) Wed Mar 25 09:55:52 2026 sparse part has weight 318593197 (94.23/col) Wed Mar 25 09:55:52 2026 using GPU 0 (NVIDIA GeForce RTX 5070) Wed Mar 25 09:55:52 2026 selected card has CUDA arch 12.0 Wed Mar 25 09:56:55 2026 commencing Lanczos iteration Wed Mar 25 09:56:56 2026 memory use: 3281.9 MB Wed Mar 25 09:57:05 2026 linear algebra at 0.9%, ETA 0h16m Wed Mar 25 09:57:18 2026 checking every 200000 dimensions, checkpointing every 12600000 dimensions Wed Mar 25 10:12:54 2026 lanczos halted after 13247 iterations (dim = 3380675) Wed Mar 25 10:13:06 2026 recovered 30 nontrivial dependencies Wed Mar 25 10:13:06 2026 BLanczosTime: 1037 Wed Mar 25 10:13:06 2026 Wed Mar 25 10:13:06 2026 commencing square root phase Wed Mar 25 10:13:06 2026 handling dependencies 1 to 64 Wed Mar 25 10:13:06 2026 reading relations for dependency 1 Wed Mar 25 10:13:07 2026 read 1691985 cycles Wed Mar 25 10:13:10 2026 cycles contain 6369352 unique relations Wed Mar 25 10:14:59 2026 read 6369352 relations Wed Mar 25 10:15:30 2026 multiplying 6369352 relations Wed Mar 25 10:16:10 2026 multiply complete, coefficients have about 317.53 million bits Wed Mar 25 10:16:11 2026 initial square root is modulo 498403 Wed Mar 25 10:17:45 2026 GCD is 1, no factor found Wed Mar 25 10:17:45 2026 reading relations for dependency 2 Wed Mar 25 10:17:46 2026 read 1690998 cycles Wed Mar 25 10:17:49 2026 cycles contain 6366854 unique relations Wed Mar 25 10:18:03 2026 read 6366854 relations Wed Mar 25 10:18:33 2026 multiplying 6366854 relations Wed Mar 25 10:19:11 2026 multiply complete, coefficients have about 317.41 million bits Wed Mar 25 10:19:12 2026 initial square root is modulo 495947 Wed Mar 25 10:20:50 2026 sqrtTime: 464 Wed Mar 25 10:20:50 2026 p72 factor: 466625430429905078508778376428198236387638295174982000596962439318357511 Wed Mar 25 10:20:50 2026 p85 factor: 2866841110412538928992831124667987992687877094415847157133881132559961049859125776023 Wed Mar 25 10:20:50 2026 elapsed time 00:25:02