Wed Sep 2 15:42:16 2026 Wed Sep 2 15:42:16 2026 Wed Sep 2 15:42:16 2026 Msieve v. 1.54 (SVN Unversioned directory) Wed Sep 2 15:42:16 2026 random seeds: 1ad46149 f9d955c4 Wed Sep 2 15:42:16 2026 MPI process 0 of 1 Wed Sep 2 15:42:16 2026 Using 32 OpenMP threads Wed Sep 2 15:42:16 2026 factoring 1453235965813624014104477165634999544778067562181310255916009014990554601475681530528916689043957045481600790325753082467480023140215760923885367107863963709868303 (163 digits) Wed Sep 2 15:42:17 2026 searching for 15-digit factors Wed Sep 2 15:42:18 2026 commencing number field sieve (163-digit input) Wed Sep 2 15:42:18 2026 R0: -26938846272315065778215708103687 Wed Sep 2 15:42:18 2026 R1: 712083135050782416391613 Wed Sep 2 15:42:18 2026 A0: -2287233427352368456075740576128708816 Wed Sep 2 15:42:18 2026 A1: 13710527547640932027350134988142 Wed Sep 2 15:42:18 2026 A2: 8382517133119288609455595 Wed Sep 2 15:42:18 2026 A3: -46318170052641662739 Wed Sep 2 15:42:18 2026 A4: -6860463412112 Wed Sep 2 15:42:18 2026 A5: 623280 Wed Sep 2 15:42:18 2026 skew 1800200.91, size 1.032e-15, alpha -6.755, combined = 1.168e-12 rroots = 5 Wed Sep 2 15:42:18 2026 Wed Sep 2 15:42:18 2026 commencing relation filtering Wed Sep 2 15:42:18 2026 setting target matrix density to 130.0 Wed Sep 2 15:42:18 2026 estimated available RAM is 257736.5 MB Wed Sep 2 15:42:18 2026 commencing duplicate removal, pass 1 Wed Sep 2 15:42:31 2026 error -1 reading relation 5886646 Wed Sep 2 15:43:20 2026 error -1 reading relation 27714511 Wed Sep 2 15:44:12 2026 error -1 reading relation 51268997 Wed Sep 2 15:45:18 2026 error -1 reading relation 81027664 Wed Sep 2 15:45:28 2026 error -1 reading relation 85216530 Wed Sep 2 15:45:34 2026 error -1 reading relation 87825712 Wed Sep 2 15:45:35 2026 error -1 reading relation 88453565 Wed Sep 2 15:45:36 2026 error -1 reading relation 88869966 Wed Sep 2 15:45:52 2026 error -1 reading relation 96124965 Wed Sep 2 15:45:56 2026 error -6 reading relation 97797531 Wed Sep 2 15:46:09 2026 error -1 reading relation 104023176 Wed Sep 2 15:46:21 2026 error -1 reading relation 109719252 Wed Sep 2 15:47:03 2026 error -1 reading relation 128277091 Wed Sep 2 15:47:06 2026 skipped 93 malformed relations Wed Sep 2 15:47:06 2026 found 19604893 hash collisions in 129442568 relations Wed Sep 2 15:47:42 2026 added 122193 free relations Wed Sep 2 15:47:42 2026 commencing duplicate removal, pass 2 Wed Sep 2 15:51:32 2026 found 16242583 duplicates and 113322178 unique relations Wed Sep 2 15:51:32 2026 memory use: 660.8 MB Wed Sep 2 15:51:32 2026 reading ideals above 720000 Wed Sep 2 15:51:32 2026 commencing singleton removal, initial pass Wed Sep 2 16:03:07 2026 memory use: 3012.0 MB Wed Sep 2 16:03:07 2026 reading all ideals from disk Wed Sep 2 16:03:11 2026 memory use: 5087.7 MB Wed Sep 2 16:03:30 2026 keeping 113503944 ideals with weight <= 200, target excess is 594897 Wed Sep 2 16:03:55 2026 commencing in-memory singleton removal Wed Sep 2 16:03:58 2026 begin with 113322178 relations and 113503944 unique ideals Wed Sep 2 16:04:07 2026 reduce to 55222667 relations and 47508436 ideals in 16 passes Wed Sep 2 16:04:07 2026 max relations containing the same ideal: 128 Wed Sep 2 16:04:45 2026 removing 6507777 relations and 5507778 ideals in 1000000 cliques Wed Sep 2 16:04:49 2026 commencing in-memory singleton removal Wed Sep 2 16:04:50 2026 begin with 48714890 relations and 47508436 unique ideals Wed Sep 2 16:04:53 2026 reduce to 48162001 relations and 41435218 ideals in 8 passes Wed Sep 2 16:04:53 2026 max relations containing the same ideal: 115 Wed Sep 2 16:05:22 2026 removing 4919522 relations and 3919522 ideals in 1000000 cliques Wed Sep 2 16:05:25 2026 commencing in-memory singleton removal Wed Sep 2 16:05:26 2026 begin with 43242479 relations and 41435218 unique ideals Wed Sep 2 16:05:28 2026 reduce to 42869709 relations and 37135187 ideals in 8 passes Wed Sep 2 16:05:28 2026 max relations containing the same ideal: 106 Wed Sep 2 16:05:54 2026 removing 4429953 relations and 3429953 ideals in 1000000 cliques Wed Sep 2 16:05:57 2026 commencing in-memory singleton removal Wed Sep 2 16:05:58 2026 begin with 38439756 relations and 37135187 unique ideals Wed Sep 2 16:06:00 2026 reduce to 38101480 relations and 33359783 ideals in 9 passes Wed Sep 2 16:06:00 2026 max relations containing the same ideal: 103 Wed Sep 2 16:06:24 2026 removing 4183945 relations and 3183945 ideals in 1000000 cliques Wed Sep 2 16:06:27 2026 commencing in-memory singleton removal Wed Sep 2 16:06:27 2026 begin with 33917535 relations and 33359783 unique ideals Wed Sep 2 16:06:29 2026 reduce to 33584394 relations and 29835010 ideals in 9 passes Wed Sep 2 16:06:29 2026 max relations containing the same ideal: 97 Wed Sep 2 16:06:48 2026 removing 4024392 relations and 3024392 ideals in 1000000 cliques Wed Sep 2 16:06:50 2026 commencing in-memory singleton removal Wed Sep 2 16:06:51 2026 begin with 29560002 relations and 29835010 unique ideals Wed Sep 2 16:06:53 2026 reduce to 29217137 relations and 26459039 ideals in 8 passes Wed Sep 2 16:06:53 2026 max relations containing the same ideal: 86 Wed Sep 2 16:07:12 2026 removing 3921432 relations and 2921432 ideals in 1000000 cliques Wed Sep 2 16:07:14 2026 commencing in-memory singleton removal Wed Sep 2 16:07:14 2026 begin with 25295705 relations and 26459039 unique ideals Wed Sep 2 16:07:16 2026 reduce to 24933042 relations and 23164138 ideals in 9 passes Wed Sep 2 16:07:16 2026 max relations containing the same ideal: 79 Wed Sep 2 16:07:32 2026 removing 3840818 relations and 2840818 ideals in 1000000 cliques Wed Sep 2 16:07:34 2026 commencing in-memory singleton removal Wed Sep 2 16:07:34 2026 begin with 21092224 relations and 23164138 unique ideals Wed Sep 2 16:07:35 2026 reduce to 20692354 relations and 19910053 ideals in 9 passes Wed Sep 2 16:07:35 2026 max relations containing the same ideal: 69 Wed Sep 2 16:07:48 2026 removing 559025 relations and 466805 ideals in 92220 cliques Wed Sep 2 16:07:49 2026 commencing in-memory singleton removal Wed Sep 2 16:07:49 2026 begin with 20133329 relations and 19910053 unique ideals Wed Sep 2 16:07:50 2026 reduce to 20125263 relations and 19435157 ideals in 6 passes Wed Sep 2 16:07:50 2026 max relations containing the same ideal: 67 Wed Sep 2 16:07:54 2026 relations with 0 large ideals: 2043 Wed Sep 2 16:07:54 2026 relations with 1 large ideals: 12282 Wed Sep 2 16:07:54 2026 relations with 2 large ideals: 169550 Wed Sep 2 16:07:54 2026 relations with 3 large ideals: 977095 Wed Sep 2 16:07:54 2026 relations with 4 large ideals: 2941626 Wed Sep 2 16:07:54 2026 relations with 5 large ideals: 5144766 Wed Sep 2 16:07:54 2026 relations with 6 large ideals: 5490108 Wed Sep 2 16:07:54 2026 relations with 7+ large ideals: 5387793 Wed Sep 2 16:07:54 2026 commencing 2-way merge Wed Sep 2 16:08:10 2026 reduce to 12464187 relation sets and 11774081 unique ideals Wed Sep 2 16:08:10 2026 commencing full merge Wed Sep 2 16:15:37 2026 memory use: 1555.3 MB Wed Sep 2 16:15:39 2026 found 5571600 cycles, need 5534281 Wed Sep 2 16:15:41 2026 weight of 5534281 cycles is about 720083369 (130.11/cycle) Wed Sep 2 16:15:41 2026 distribution of cycle lengths: Wed Sep 2 16:15:41 2026 1 relations: 166576 Wed Sep 2 16:15:41 2026 2 relations: 311182 Wed Sep 2 16:15:41 2026 3 relations: 376172 Wed Sep 2 16:15:41 2026 4 relations: 387420 Wed Sep 2 16:15:41 2026 5 relations: 395901 Wed Sep 2 16:15:41 2026 6 relations: 389812 Wed Sep 2 16:15:41 2026 7 relations: 379809 Wed Sep 2 16:15:41 2026 8 relations: 367373 Wed Sep 2 16:15:41 2026 9 relations: 348625 Wed Sep 2 16:15:41 2026 10+ relations: 2411411 Wed Sep 2 16:15:41 2026 heaviest cycle: 28 relations Wed Sep 2 16:15:43 2026 commencing cycle optimization Wed Sep 2 16:16:03 2026 start with 52021322 relations Wed Sep 2 16:19:11 2026 pruned 2329384 relations Wed Sep 2 16:19:11 2026 memory use: 1365.4 MB Wed Sep 2 16:19:11 2026 distribution of cycle lengths: Wed Sep 2 16:19:11 2026 1 relations: 166576 Wed Sep 2 16:19:11 2026 2 relations: 319749 Wed Sep 2 16:19:11 2026 3 relations: 393106 Wed Sep 2 16:19:11 2026 4 relations: 403889 Wed Sep 2 16:19:11 2026 5 relations: 415522 Wed Sep 2 16:19:11 2026 6 relations: 408116 Wed Sep 2 16:19:11 2026 7 relations: 399236 Wed Sep 2 16:19:11 2026 8 relations: 383379 Wed Sep 2 16:19:11 2026 9 relations: 364168 Wed Sep 2 16:19:11 2026 10+ relations: 2280540 Wed Sep 2 16:19:11 2026 heaviest cycle: 28 relations Wed Sep 2 16:19:24 2026 RelProcTime: 2226 Wed Sep 2 16:19:24 2026 Wed Sep 2 16:19:24 2026 commencing linear algebra Wed Sep 2 16:19:24 2026 using VBITS=256 Wed Sep 2 16:19:24 2026 stopping after matrix build Wed Sep 2 16:19:24 2026 initialized process (0,0) of 1 x 1 grid Wed Sep 2 16:19:25 2026 read 5534281 cycles Wed Sep 2 16:19:42 2026 cycles contain 19733978 unique relations Wed Sep 2 16:22:39 2026 read 19733978 relations Wed Sep 2 16:22:41 2026 using 20 quadratic characters above 4294917295 Wed Sep 2 16:22:45 2026 building initial matrix Wed Sep 2 16:29:36 2026 memory use: 2708.0 MB Wed Sep 2 16:29:43 2026 read 5534281 cycles Wed Sep 2 16:29:44 2026 matrix is 5534104 x 5534281 (2786.0 MB) with weight 838547589 (151.52/col) Wed Sep 2 16:29:44 2026 sparse part has weight 669443555 (120.96/col) Wed Sep 2 16:31:34 2026 filtering completed in 2 passes Wed Sep 2 16:31:36 2026 matrix is 5533979 x 5534156 (2785.9 MB) with weight 838541051 (151.52/col) Wed Sep 2 16:31:36 2026 sparse part has weight 669440959 (120.97/col) Wed Sep 2 16:32:15 2026 BLanczosTime: 771 Wed Sep 2 16:32:15 2026 elapsed time 00:49:59 Wed Sep 2 16:47:58 2026 Wed Sep 2 16:47:58 2026 Wed Sep 2 16:47:58 2026 Msieve v. 1.54 (SVN Unversioned directory) Wed Sep 2 16:47:58 2026 random seeds: a3ed2a5f a6b38c81 Wed Sep 2 16:47:58 2026 MPI process 0 of 1 Wed Sep 2 16:47:58 2026 Using 64 OpenMP threads Wed Sep 2 16:47:58 2026 factoring 1453235965813624014104477165634999544778067562181310255916009014990554601475681530528916689043957045481600790325753082467480023140215760923885367107863963709868303 (163 digits) Wed Sep 2 16:47:59 2026 searching for 15-digit factors Wed Sep 2 16:47:59 2026 commencing number field sieve (163-digit input) Wed Sep 2 16:47:59 2026 R0: -26938846272315065778215708103687 Wed Sep 2 16:47:59 2026 R1: 712083135050782416391613 Wed Sep 2 16:47:59 2026 A0: -2287233427352368456075740576128708816 Wed Sep 2 16:47:59 2026 A1: 13710527547640932027350134988142 Wed Sep 2 16:47:59 2026 A2: 8382517133119288609455595 Wed Sep 2 16:47:59 2026 A3: -46318170052641662739 Wed Sep 2 16:47:59 2026 A4: -6860463412112 Wed Sep 2 16:47:59 2026 A5: 623280 Wed Sep 2 16:47:59 2026 skew 1800200.91, size 1.032e-15, alpha -6.755, combined = 1.168e-12 rroots = 5 Wed Sep 2 16:47:59 2026 Wed Sep 2 16:47:59 2026 commencing linear algebra Wed Sep 2 16:47:59 2026 using VBITS=256 Wed Sep 2 16:47:59 2026 skipping matrix build Wed Sep 2 16:47:59 2026 initialized process (0,0) of 1 x 1 grid Wed Sep 2 16:48:03 2026 matrix starts at (0, 0) Wed Sep 2 16:48:05 2026 matrix is 5533979 x 5534156 (2785.9 MB) with weight 838541051 (151.52/col) Wed Sep 2 16:48:05 2026 sparse part has weight 669440959 (120.97/col) Wed Sep 2 16:48:05 2026 saving the first 240 matrix rows for later Wed Sep 2 16:48:08 2026 matrix includes 256 packed rows Wed Sep 2 16:48:09 2026 matrix is 5533739 x 5534156 (2490.9 MB) with weight 605941424 (109.49/col) Wed Sep 2 16:48:09 2026 sparse part has weight 564440088 (101.99/col) Wed Sep 2 16:48:09 2026 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB Wed Sep 2 16:48:22 2026 commencing Lanczos iteration (64 threads) Wed Sep 2 16:48:22 2026 memory use: 3514.4 MB Wed Sep 2 16:49:08 2026 linear algebra at 0.6%, ETA 2h14m Wed Sep 2 16:50:13 2026 checking every 40000 dimensions, checkpointing every 2520000 dimensions Wed Sep 2 18:58:01 2026 lanczos halted after 21682 iterations (dim = 5533738) Wed Sep 2 18:58:23 2026 recovered 27 nontrivial dependencies Wed Sep 2 18:58:24 2026 BLanczosTime: 7825 Wed Sep 2 18:58:24 2026 Wed Sep 2 18:58:24 2026 commencing square root phase Wed Sep 2 18:58:24 2026 handling dependencies 1 to 64 Wed Sep 2 18:58:24 2026 reading relations for dependency 1 Wed Sep 2 18:58:24 2026 read 2767281 cycles Wed Sep 2 18:58:29 2026 cycles contain 9868504 unique relations Wed Sep 2 19:00:14 2026 read 9868504 relations Wed Sep 2 19:00:47 2026 multiplying 9868504 relations Wed Sep 2 19:01:39 2026 multiply complete, coefficients have about 555.18 million bits Wed Sep 2 19:01:40 2026 initial square root is modulo 95701 Wed Sep 2 19:04:36 2026 GCD is N, no factor found Wed Sep 2 19:04:36 2026 reading relations for dependency 2 Wed Sep 2 19:04:36 2026 read 2765870 cycles Wed Sep 2 19:04:41 2026 cycles contain 9865918 unique relations Wed Sep 2 19:06:26 2026 read 9865918 relations Wed Sep 2 19:06:58 2026 multiplying 9865918 relations Wed Sep 2 19:07:50 2026 multiply complete, coefficients have about 555.03 million bits Wed Sep 2 19:07:52 2026 initial square root is modulo 95531 Wed Sep 2 19:10:47 2026 sqrtTime: 743 Wed Sep 2 19:10:47 2026 p66 factor: 391483265035946128639824179391212186053367615067277579666087220729 Wed Sep 2 19:10:47 2026 p97 factor: 3712127939058103507131037044782426596696891837811248890464873438487279417036885630965292151060807 Wed Sep 2 19:10:47 2026 elapsed time 02:22:49