Wed Jun 4 20:37:57 2025 Wed Jun 4 20:37:57 2025 Wed Jun 4 20:37:57 2025 Msieve v. 1.54 (SVN Unversioned directory) Wed Jun 4 20:37:57 2025 random seeds: 57f93dc4 556de73c Wed Jun 4 20:37:57 2025 factoring 1274778593832115462640454181379623809225700987493110057198688618413606789679320534452199283268366281772150018822178132851230861694699635216323054666268713182123354996589349207135829222802384427910609996577 (205 digits) Wed Jun 4 20:37:58 2025 searching for 15-digit factors Wed Jun 4 20:37:58 2025 commencing number field sieve (205-digit input) Wed Jun 4 20:37:58 2025 R0: 698967480384018647612653944966323998082 Wed Jun 4 20:37:58 2025 R1: -26437993123231170241 Wed Jun 4 20:37:58 2025 A0: -1 Wed Jun 4 20:37:58 2025 A1: 3 Wed Jun 4 20:37:58 2025 A2: 6 Wed Jun 4 20:37:58 2025 A3: -4 Wed Jun 4 20:37:58 2025 A4: -5 Wed Jun 4 20:37:58 2025 A5: 1 Wed Jun 4 20:37:58 2025 A6: 1 Wed Jun 4 20:37:58 2025 skew 1.37, size 1.796e-11, alpha 3.126, combined = 9.626e-13 rroots = 6 Wed Jun 4 20:37:58 2025 Wed Jun 4 20:37:58 2025 commencing relation filtering Wed Jun 4 20:37:58 2025 setting target matrix density to 108.0 Wed Jun 4 20:37:58 2025 estimated available RAM is 15938.6 MB Wed Jun 4 20:37:58 2025 commencing duplicate removal, pass 1 Wed Jun 4 20:44:25 2025 error -9 reading relation 48005125 Wed Jun 4 20:50:52 2025 skipped 9 relations with b > 2^32 Wed Jun 4 20:50:52 2025 skipped 3 relations with composite factors Wed Jun 4 20:50:52 2025 found 4003864 hash collisions in 95494296 relations Wed Jun 4 20:50:52 2025 commencing duplicate removal, pass 2 Wed Jun 4 20:51:19 2025 found 0 duplicates and 95494296 unique relations Wed Jun 4 20:51:19 2025 memory use: 261.2 MB Wed Jun 4 20:51:19 2025 reading ideals above 77529088 Wed Jun 4 20:51:19 2025 commencing singleton removal, initial pass Wed Jun 4 20:59:14 2025 memory use: 1506.0 MB Wed Jun 4 20:59:14 2025 reading all ideals from disk Wed Jun 4 20:59:17 2025 memory use: 1713.9 MB Wed Jun 4 20:59:23 2025 commencing in-memory singleton removal Wed Jun 4 20:59:27 2025 begin with 95494296 relations and 81863381 unique ideals Wed Jun 4 21:00:29 2025 reduce to 60359803 relations and 42957647 ideals in 20 passes Wed Jun 4 21:00:29 2025 max relations containing the same ideal: 42 Wed Jun 4 21:00:33 2025 reading ideals above 720000 Wed Jun 4 21:00:34 2025 commencing singleton removal, initial pass Wed Jun 4 21:07:45 2025 memory use: 1378.0 MB Wed Jun 4 21:07:45 2025 reading all ideals from disk Wed Jun 4 21:07:49 2025 memory use: 2285.6 MB Wed Jun 4 21:07:58 2025 keeping 51722124 ideals with weight <= 200, target excess is 302518 Wed Jun 4 21:08:08 2025 commencing in-memory singleton removal Wed Jun 4 21:08:15 2025 begin with 60359806 relations and 51722124 unique ideals Wed Jun 4 21:08:56 2025 reduce to 60359154 relations and 51721462 ideals in 5 passes Wed Jun 4 21:08:56 2025 max relations containing the same ideal: 200 Wed Jun 4 21:09:29 2025 removing 5722092 relations and 4722092 ideals in 1000000 cliques Wed Jun 4 21:09:32 2025 commencing in-memory singleton removal Wed Jun 4 21:09:38 2025 begin with 54637062 relations and 51721462 unique ideals Wed Jun 4 21:10:28 2025 reduce to 54129313 relations and 46480293 ideals in 10 passes Wed Jun 4 21:10:28 2025 max relations containing the same ideal: 195 Wed Jun 4 21:10:59 2025 removing 4473419 relations and 3473419 ideals in 1000000 cliques Wed Jun 4 21:11:01 2025 commencing in-memory singleton removal Wed Jun 4 21:11:07 2025 begin with 49655894 relations and 46480293 unique ideals Wed Jun 4 21:11:41 2025 reduce to 49317024 relations and 42661325 ideals in 8 passes Wed Jun 4 21:11:41 2025 max relations containing the same ideal: 186 Wed Jun 4 21:12:06 2025 removing 4110368 relations and 3110368 ideals in 1000000 cliques Wed Jun 4 21:12:08 2025 commencing in-memory singleton removal Wed Jun 4 21:12:12 2025 begin with 45206656 relations and 42661325 unique ideals Wed Jun 4 21:12:37 2025 reduce to 44902272 relations and 39240353 ideals in 7 passes Wed Jun 4 21:12:37 2025 max relations containing the same ideal: 180 Wed Jun 4 21:13:02 2025 removing 3929043 relations and 2929043 ideals in 1000000 cliques Wed Jun 4 21:13:03 2025 commencing in-memory singleton removal Wed Jun 4 21:13:08 2025 begin with 40973229 relations and 39240353 unique ideals Wed Jun 4 21:13:35 2025 reduce to 40676676 relations and 36008497 ideals in 7 passes Wed Jun 4 21:13:35 2025 max relations containing the same ideal: 165 Wed Jun 4 21:13:58 2025 removing 3824753 relations and 2824753 ideals in 1000000 cliques Wed Jun 4 21:13:59 2025 commencing in-memory singleton removal Wed Jun 4 21:14:03 2025 begin with 36851923 relations and 36008497 unique ideals Wed Jun 4 21:14:37 2025 reduce to 36552077 relations and 32877189 ideals in 9 passes Wed Jun 4 21:14:37 2025 max relations containing the same ideal: 154 Wed Jun 4 21:15:02 2025 removing 3764004 relations and 2764004 ideals in 1000000 cliques Wed Jun 4 21:15:04 2025 commencing in-memory singleton removal Wed Jun 4 21:15:07 2025 begin with 32788073 relations and 32877189 unique ideals Wed Jun 4 21:15:34 2025 reduce to 32472457 relations and 29789741 ideals in 8 passes Wed Jun 4 21:15:34 2025 max relations containing the same ideal: 140 Wed Jun 4 21:15:56 2025 removing 3723852 relations and 2723852 ideals in 1000000 cliques Wed Jun 4 21:15:58 2025 commencing in-memory singleton removal Wed Jun 4 21:16:02 2025 begin with 28748605 relations and 29789741 unique ideals Wed Jun 4 21:16:32 2025 reduce to 28410029 relations and 26717935 ideals in 8 passes Wed Jun 4 21:16:32 2025 max relations containing the same ideal: 127 Wed Jun 4 21:16:51 2025 removing 3702785 relations and 2702785 ideals in 1000000 cliques Wed Jun 4 21:16:53 2025 commencing in-memory singleton removal Wed Jun 4 21:16:56 2025 begin with 24707244 relations and 26717935 unique ideals Wed Jun 4 21:17:21 2025 reduce to 24330174 relations and 23626268 ideals in 8 passes Wed Jun 4 21:17:21 2025 max relations containing the same ideal: 117 Wed Jun 4 21:17:37 2025 removing 1617507 relations and 1264522 ideals in 352985 cliques Wed Jun 4 21:17:38 2025 commencing in-memory singleton removal Wed Jun 4 21:17:41 2025 begin with 22712667 relations and 23626268 unique ideals Wed Jun 4 21:18:03 2025 reduce to 22633888 relations and 22281902 ideals in 7 passes Wed Jun 4 21:18:03 2025 max relations containing the same ideal: 108 Wed Jun 4 21:18:21 2025 relations with 0 large ideals: 22403 Wed Jun 4 21:18:21 2025 relations with 1 large ideals: 4339 Wed Jun 4 21:18:21 2025 relations with 2 large ideals: 28314 Wed Jun 4 21:18:21 2025 relations with 3 large ideals: 232896 Wed Jun 4 21:18:21 2025 relations with 4 large ideals: 1081193 Wed Jun 4 21:18:21 2025 relations with 5 large ideals: 3033990 Wed Jun 4 21:18:21 2025 relations with 6 large ideals: 5309847 Wed Jun 4 21:18:21 2025 relations with 7+ large ideals: 12920906 Wed Jun 4 21:18:21 2025 commencing 2-way merge Wed Jun 4 21:18:42 2025 reduce to 14830274 relation sets and 14478288 unique ideals Wed Jun 4 21:18:42 2025 commencing full merge Wed Jun 4 21:28:26 2025 memory use: 2066.7 MB Wed Jun 4 21:28:28 2025 found 6882082 cycles, need 6878488 Wed Jun 4 21:28:31 2025 weight of 6878488 cycles is about 743420264 (108.08/cycle) Wed Jun 4 21:28:31 2025 distribution of cycle lengths: Wed Jun 4 21:28:31 2025 1 relations: 397703 Wed Jun 4 21:28:31 2025 2 relations: 501428 Wed Jun 4 21:28:31 2025 3 relations: 544863 Wed Jun 4 21:28:31 2025 4 relations: 536161 Wed Jun 4 21:28:31 2025 5 relations: 521356 Wed Jun 4 21:28:31 2025 6 relations: 499134 Wed Jun 4 21:28:31 2025 7 relations: 474483 Wed Jun 4 21:28:31 2025 8 relations: 445237 Wed Jun 4 21:28:31 2025 9 relations: 412436 Wed Jun 4 21:28:31 2025 10+ relations: 2545687 Wed Jun 4 21:28:31 2025 heaviest cycle: 28 relations Wed Jun 4 21:28:33 2025 commencing cycle optimization Wed Jun 4 21:28:53 2025 start with 58265895 relations Wed Jun 4 21:32:13 2025 pruned 2481853 relations Wed Jun 4 21:32:13 2025 memory use: 1542.9 MB Wed Jun 4 21:32:13 2025 distribution of cycle lengths: Wed Jun 4 21:32:13 2025 1 relations: 397703 Wed Jun 4 21:32:13 2025 2 relations: 511868 Wed Jun 4 21:32:13 2025 3 relations: 565310 Wed Jun 4 21:32:13 2025 4 relations: 555910 Wed Jun 4 21:32:13 2025 5 relations: 544041 Wed Jun 4 21:32:13 2025 6 relations: 519715 Wed Jun 4 21:32:13 2025 7 relations: 494906 Wed Jun 4 21:32:13 2025 8 relations: 463042 Wed Jun 4 21:32:13 2025 9 relations: 428410 Wed Jun 4 21:32:13 2025 10+ relations: 2397583 Wed Jun 4 21:32:13 2025 heaviest cycle: 28 relations Wed Jun 4 21:32:37 2025 RelProcTime: 3279 Wed Jun 4 21:32:37 2025 elapsed time 00:54:40 Wed Jun 4 22:17:41 2025 Wed Jun 4 22:17:41 2025 Wed Jun 4 22:17:41 2025 Msieve v. 1.54 (SVN Unversioned directory) Wed Jun 4 22:17:41 2025 random seeds: 5fa261ac a1d855b3 Wed Jun 4 22:17:41 2025 factoring 1274778593832115462640454181379623809225700987493110057198688618413606789679320534452199283268366281772150018822178132851230861694699635216323054666268713182123354996589349207135829222802384427910609996577 (205 digits) Wed Jun 4 22:17:43 2025 searching for 15-digit factors Wed Jun 4 22:17:44 2025 commencing number field sieve (205-digit input) Wed Jun 4 22:17:44 2025 R0: 698967480384018647612653944966323998082 Wed Jun 4 22:17:44 2025 R1: -26437993123231170241 Wed Jun 4 22:17:44 2025 A0: -1 Wed Jun 4 22:17:44 2025 A1: 3 Wed Jun 4 22:17:44 2025 A2: 6 Wed Jun 4 22:17:44 2025 A3: -4 Wed Jun 4 22:17:44 2025 A4: -5 Wed Jun 4 22:17:44 2025 A5: 1 Wed Jun 4 22:17:44 2025 A6: 1 Wed Jun 4 22:17:44 2025 skew 1.37, size 1.796e-11, alpha 3.126, combined = 9.626e-13 rroots = 6 Wed Jun 4 22:17:44 2025 Wed Jun 4 22:17:44 2025 commencing linear algebra Wed Jun 4 22:17:44 2025 using VBITS=512 Wed Jun 4 22:17:46 2025 read 6878488 cycles Wed Jun 4 22:18:11 2025 cycles contain 22425521 unique relations Wed Jun 4 22:20:48 2025 read 22425521 relations Wed Jun 4 22:21:57 2025 using 20 quadratic characters above 4294917295 Wed Jun 4 22:24:16 2025 building initial matrix Wed Jun 4 22:30:45 2025 memory use: 2741.0 MB Wed Jun 4 22:30:49 2025 read 6878488 cycles Wed Jun 4 22:30:50 2025 matrix is 6878311 x 6878488 (2927.5 MB) with weight 829672779 (120.62/col) Wed Jun 4 22:30:50 2025 sparse part has weight 698632878 (101.57/col) Wed Jun 4 22:32:24 2025 filtering completed in 2 passes Wed Jun 4 22:32:25 2025 matrix is 6878246 x 6878387 (2927.5 MB) with weight 829670307 (120.62/col) Wed Jun 4 22:32:25 2025 sparse part has weight 698632134 (101.57/col) Wed Jun 4 22:32:44 2025 matrix starts at (0, 0) Wed Jun 4 22:32:45 2025 matrix is 6878246 x 6878387 (2927.5 MB) with weight 829670307 (120.62/col) Wed Jun 4 22:32:45 2025 sparse part has weight 698632134 (101.57/col) Wed Jun 4 22:32:45 2025 saving the first 496 matrix rows for later Wed Jun 4 22:32:47 2025 matrix includes 512 packed rows Wed Jun 4 22:32:52 2025 matrix is 6877750 x 6878387 (2795.4 MB) with weight 600113980 (87.25/col) Wed Jun 4 22:32:52 2025 sparse part has weight 567726332 (82.54/col) Wed Jun 4 22:41:57 2025 Wed Jun 4 22:41:57 2025 Wed Jun 4 22:41:57 2025 Msieve v. 1.54 (SVN unknown) Wed Jun 4 22:41:57 2025 random seeds: 310e60d8 a715cf23 Wed Jun 4 22:41:57 2025 factoring 1274778593832115462640454181379623809225700987493110057198688618413606789679320534452199283268366281772150018822178132851230861694699635216323054666268713182123354996589349207135829222802384427910609996577 (205 digits) Wed Jun 4 22:41:58 2025 no P-1/P+1/ECM available, skipping Wed Jun 4 22:41:58 2025 commencing number field sieve (205-digit input) Wed Jun 4 22:41:58 2025 R0: 698967480384018647612653944966323998082 Wed Jun 4 22:41:58 2025 R1: -26437993123231170241 Wed Jun 4 22:41:58 2025 A0: -1 Wed Jun 4 22:41:58 2025 A1: 3 Wed Jun 4 22:41:58 2025 A2: 6 Wed Jun 4 22:41:58 2025 A3: -4 Wed Jun 4 22:41:58 2025 A4: -5 Wed Jun 4 22:41:58 2025 A5: 1 Wed Jun 4 22:41:58 2025 A6: 1 Wed Jun 4 22:41:58 2025 skew 1.37, size 1.796e-11, alpha 3.126, combined = 9.626e-13 rroots = 6 Wed Jun 4 22:41:58 2025 Wed Jun 4 22:41:58 2025 commencing linear algebra Wed Jun 4 22:41:58 2025 using VBITS=512 Wed Jun 4 22:41:58 2025 skipping matrix build Wed Jun 4 22:42:01 2025 matrix starts at (0, 0) Wed Jun 4 22:42:03 2025 matrix is 6878246 x 6878387 (2927.5 MB) with weight 829670307 (120.62/col) Wed Jun 4 22:42:03 2025 sparse part has weight 698632134 (101.57/col) Wed Jun 4 22:42:03 2025 saving the first 496 matrix rows for later Wed Jun 4 22:42:06 2025 matrix includes 512 packed rows Wed Jun 4 22:42:14 2025 matrix is 6877750 x 6878387 (2795.4 MB) with weight 600113980 (87.25/col) Wed Jun 4 22:42:14 2025 sparse part has weight 567726332 (82.54/col) Wed Jun 4 22:42:14 2025 using GPU 0 (NVIDIA GeForce RTX 3060) Wed Jun 4 22:42:14 2025 selected card has CUDA arch 8.6 Wed Jun 4 22:43:24 2025 commencing Lanczos iteration Wed Jun 4 22:43:25 2025 memory use: 7795.0 MB Wed Jun 4 22:43:30 2025 lanczos error: submatrix is not invertible Wed Jun 4 22:43:30 2025 lanczos halted after 5 iterations (dim = 2046) Wed Jun 4 22:43:31 2025 linear algebra failed, aborting Wed Jun 4 22:43:31 2025 BLanczosTime: 93 Wed Jun 4 22:43:31 2025 Wed Jun 4 22:43:31 2025 commencing square root phase Wed Jun 4 22:43:31 2025 handling dependencies 1 to 64 Wed Jun 4 22:43:31 2025 reading relations for dependency 1 Wed Jun 4 22:43:31 2025 error: read_cycles can't open dependency file Wed Jun 4 23:08:36 2025 Wed Jun 4 23:08:36 2025 Wed Jun 4 23:08:36 2025 Msieve v. 1.54 (SVN unknown) Wed Jun 4 23:08:36 2025 random seeds: 25d701c4 1f7f9b96 Wed Jun 4 23:08:36 2025 factoring 1274778593832115462640454181379623809225700987493110057198688618413606789679320534452199283268366281772150018822178132851230861694699635216323054666268713182123354996589349207135829222802384427910609996577 (205 digits) Wed Jun 4 23:08:37 2025 no P-1/P+1/ECM available, skipping Wed Jun 4 23:08:37 2025 commencing number field sieve (205-digit input) Wed Jun 4 23:08:37 2025 R0: 698967480384018647612653944966323998082 Wed Jun 4 23:08:37 2025 R1: -26437993123231170241 Wed Jun 4 23:08:37 2025 A0: -1 Wed Jun 4 23:08:37 2025 A1: 3 Wed Jun 4 23:08:37 2025 A2: 6 Wed Jun 4 23:08:37 2025 A3: -4 Wed Jun 4 23:08:37 2025 A4: -5 Wed Jun 4 23:08:37 2025 A5: 1 Wed Jun 4 23:08:37 2025 A6: 1 Wed Jun 4 23:08:37 2025 skew 1.37, size 1.796e-11, alpha 3.126, combined = 9.626e-13 rroots = 6 Wed Jun 4 23:08:37 2025 Wed Jun 4 23:08:37 2025 commencing linear algebra Wed Jun 4 23:08:37 2025 using VBITS=512 Wed Jun 4 23:08:37 2025 skipping matrix build Wed Jun 4 23:08:44 2025 matrix starts at (0, 0) Wed Jun 4 23:08:45 2025 matrix is 6878246 x 6878387 (2927.5 MB) with weight 829670307 (120.62/col) Wed Jun 4 23:08:45 2025 sparse part has weight 698632134 (101.57/col) Wed Jun 4 23:08:45 2025 saving the first 496 matrix rows for later Wed Jun 4 23:08:49 2025 matrix includes 512 packed rows Wed Jun 4 23:08:56 2025 matrix is 6877750 x 6878387 (2795.4 MB) with weight 600113980 (87.25/col) Wed Jun 4 23:08:56 2025 sparse part has weight 567726332 (82.54/col) Wed Jun 4 23:08:56 2025 using GPU 0 (NVIDIA GeForce RTX 3060) Wed Jun 4 23:08:56 2025 selected card has CUDA arch 8.6 Wed Jun 4 23:09:58 2025 commencing Lanczos iteration Wed Jun 4 23:09:59 2025 memory use: 7795.0 MB Wed Jun 4 23:10:23 2025 linear algebra at 0.2%, ETA 2h51m Wed Jun 4 23:10:24 2025 checkpointing every 2380000 dimensions Thu Jun 5 02:28:15 2025 lanczos halted after 13455 iterations (dim = 6877748) Thu Jun 5 02:30:35 2025 recovered 33 nontrivial dependencies Thu Jun 5 02:30:36 2025 BLanczosTime: 12119 Thu Jun 5 02:30:36 2025 Thu Jun 5 02:30:36 2025 commencing square root phase Thu Jun 5 02:30:36 2025 handling dependencies 1 to 64 Thu Jun 5 02:30:36 2025 reading relations for dependency 1 Thu Jun 5 02:30:37 2025 read 3436802 cycles Thu Jun 5 02:30:44 2025 cycles contain 11207122 unique relations Thu Jun 5 02:31:56 2025 read 11207122 relations Thu Jun 5 02:32:54 2025 multiplying 11207122 relations Thu Jun 5 02:40:17 2025 multiply complete, coefficients have about 273.78 million bits Thu Jun 5 02:40:19 2025 initial square root is modulo 81919 Thu Jun 5 02:48:47 2025 sqrtTime: 1091 Thu Jun 5 02:48:47 2025 p65 factor: 34669529284001522437486927961201989735564493838249156766407438157 Thu Jun 5 02:48:47 2025 p140 factor: 36769423183959127314588959272821662591278390141506219485032557461908324679383404876453430983803501298914389388135087550890633810975126817061 Thu Jun 5 02:48:47 2025 elapsed time 03:40:11