Wed Dec 17 13:50:17 2025 Wed Dec 17 13:50:17 2025 Wed Dec 17 13:50:17 2025 Msieve v. 1.54 (SVN Unversioned directory) Wed Dec 17 13:50:17 2025 random seeds: 7b52def7 68e29906 Wed Dec 17 13:50:17 2025 Using 8 OpenMP threads Wed Dec 17 13:50:17 2025 factoring 7016267753839166682320586512547775655265321400883172390112534025953447081394641746516648619668026642843499701907633815381019078499458502694282084367362515644855517 (163 digits) Wed Dec 17 13:50:17 2025 searching for 15-digit factors Wed Dec 17 13:50:18 2025 commencing number field sieve (163-digit input) Wed Dec 17 13:50:18 2025 R0: -55067880841568162619174401162080 Wed Dec 17 13:50:18 2025 R1: 381893458878095075809 Wed Dec 17 13:50:18 2025 A0: 282392755224064920534068272734164679066 Wed Dec 17 13:50:18 2025 A1: 82146516900300276954207892641305 Wed Dec 17 13:50:18 2025 A2: -2230998296913848607874676 Wed Dec 17 13:50:18 2025 A3: -2656159336114207357 Wed Dec 17 13:50:18 2025 A4: -1370149938138 Wed Dec 17 13:50:18 2025 A5: 27720 Wed Dec 17 13:50:18 2025 skew 1.00, size 9.975e-16, alpha -6.975, combined = 6.602e-15 rroots = 3 Wed Dec 17 13:50:18 2025 Wed Dec 17 13:50:18 2025 commencing relation filtering Wed Dec 17 13:50:18 2025 estimated available RAM is 78540.1 MB Wed Dec 17 13:50:18 2025 commencing duplicate removal, pass 1 Wed Dec 17 13:52:34 2025 error -15 reading relation 52091341 Wed Dec 17 13:53:53 2025 error -1 reading relation 89289929 Wed Dec 17 13:54:27 2025 error -1 reading relation 104033945 Wed Dec 17 13:56:29 2025 error -1 reading relation 160297763 Wed Dec 17 13:56:34 2025 error -1 reading relation 162458379 Wed Dec 17 13:56:40 2025 error -1 reading relation 165570770 Wed Dec 17 13:57:43 2025 error -1 reading relation 196885609 Wed Dec 17 13:57:45 2025 error -1 reading relation 197813122 Wed Dec 17 13:57:52 2025 skipped 1 relations with b > 2^32 Wed Dec 17 13:57:52 2025 skipped 2 relations with composite factors Wed Dec 17 13:57:52 2025 skipped 81 malformed relations Wed Dec 17 13:57:52 2025 found 32508269 hash collisions in 201858991 relations Wed Dec 17 13:58:11 2025 added 121760 free relations Wed Dec 17 13:58:11 2025 commencing duplicate removal, pass 2 Wed Dec 17 13:59:38 2025 found 29706147 duplicates and 172274604 unique relations Wed Dec 17 13:59:38 2025 memory use: 852.8 MB Wed Dec 17 13:59:38 2025 reading ideals above 720000 Wed Dec 17 13:59:38 2025 commencing singleton removal, initial pass Wed Dec 17 14:08:11 2025 memory use: 3012.0 MB Wed Dec 17 14:08:11 2025 reading all ideals from disk Wed Dec 17 14:08:15 2025 memory use: 7778.3 MB Wed Dec 17 14:08:22 2025 keeping 158480648 ideals with weight <= 200, target excess is 894781 Wed Dec 17 14:08:34 2025 commencing in-memory singleton removal Wed Dec 17 14:08:36 2025 begin with 172274604 relations and 158480648 unique ideals Wed Dec 17 14:08:52 2025 reduce to 99495703 relations and 77081037 ideals in 14 passes Wed Dec 17 14:08:52 2025 max relations containing the same ideal: 146 Wed Dec 17 14:09:19 2025 removing 10307440 relations and 8307440 ideals in 2000000 cliques Wed Dec 17 14:09:21 2025 commencing in-memory singleton removal Wed Dec 17 14:09:23 2025 begin with 89188263 relations and 77081037 unique ideals Wed Dec 17 14:09:31 2025 reduce to 88408808 relations and 67974431 ideals in 9 passes Wed Dec 17 14:09:31 2025 max relations containing the same ideal: 134 Wed Dec 17 14:09:54 2025 removing 7825532 relations and 5825532 ideals in 2000000 cliques Wed Dec 17 14:09:56 2025 commencing in-memory singleton removal Wed Dec 17 14:09:57 2025 begin with 80583276 relations and 67974431 unique ideals Wed Dec 17 14:10:04 2025 reduce to 80053645 relations and 61607340 ideals in 8 passes Wed Dec 17 14:10:04 2025 max relations containing the same ideal: 126 Wed Dec 17 14:10:24 2025 removing 7112973 relations and 5112973 ideals in 2000000 cliques Wed Dec 17 14:10:26 2025 commencing in-memory singleton removal Wed Dec 17 14:10:27 2025 begin with 72940672 relations and 61607340 unique ideals Wed Dec 17 14:10:32 2025 reduce to 72469146 relations and 56011873 ideals in 7 passes Wed Dec 17 14:10:32 2025 max relations containing the same ideal: 119 Wed Dec 17 14:10:52 2025 removing 6751949 relations and 4751949 ideals in 2000000 cliques Wed Dec 17 14:10:54 2025 commencing in-memory singleton removal Wed Dec 17 14:10:55 2025 begin with 65717197 relations and 56011873 unique ideals Wed Dec 17 14:10:59 2025 reduce to 65268410 relations and 50799912 ideals in 7 passes Wed Dec 17 14:10:59 2025 max relations containing the same ideal: 112 Wed Dec 17 14:11:17 2025 removing 6527832 relations and 4527832 ideals in 2000000 cliques Wed Dec 17 14:11:19 2025 commencing in-memory singleton removal Wed Dec 17 14:11:20 2025 begin with 58740578 relations and 50799912 unique ideals Wed Dec 17 14:11:24 2025 reduce to 58292565 relations and 45812019 ideals in 7 passes Wed Dec 17 14:11:24 2025 max relations containing the same ideal: 107 Wed Dec 17 14:11:42 2025 removing 6377094 relations and 4377094 ideals in 2000000 cliques Wed Dec 17 14:11:44 2025 commencing in-memory singleton removal Wed Dec 17 14:11:44 2025 begin with 51915471 relations and 45812019 unique ideals Wed Dec 17 14:11:46 2025 reduce to 51453552 relations and 40959010 ideals in 7 passes Wed Dec 17 14:11:46 2025 max relations containing the same ideal: 101 Wed Dec 17 14:12:03 2025 removing 6268729 relations and 4268729 ideals in 2000000 cliques Wed Dec 17 14:12:04 2025 commencing in-memory singleton removal Wed Dec 17 14:12:05 2025 begin with 45184823 relations and 40959010 unique ideals Wed Dec 17 14:12:08 2025 reduce to 44693183 relations and 36181985 ideals in 7 passes Wed Dec 17 14:12:08 2025 max relations containing the same ideal: 92 Wed Dec 17 14:12:20 2025 removing 6204323 relations and 4204323 ideals in 2000000 cliques Wed Dec 17 14:12:21 2025 commencing in-memory singleton removal Wed Dec 17 14:12:22 2025 begin with 38488860 relations and 36181985 unique ideals Wed Dec 17 14:12:25 2025 reduce to 37951712 relations and 31419819 ideals in 8 passes Wed Dec 17 14:12:25 2025 max relations containing the same ideal: 81 Wed Dec 17 14:12:37 2025 removing 6158518 relations and 4158518 ideals in 2000000 cliques Wed Dec 17 14:12:39 2025 commencing in-memory singleton removal Wed Dec 17 14:12:39 2025 begin with 31793194 relations and 31419819 unique ideals Wed Dec 17 14:12:42 2025 reduce to 31182444 relations and 26623152 ideals in 8 passes Wed Dec 17 14:12:42 2025 max relations containing the same ideal: 72 Wed Dec 17 14:12:50 2025 removing 6130311 relations and 4130311 ideals in 2000000 cliques Wed Dec 17 14:12:51 2025 commencing in-memory singleton removal Wed Dec 17 14:12:51 2025 begin with 25052133 relations and 26623152 unique ideals Wed Dec 17 14:12:53 2025 reduce to 24331862 relations and 21732944 ideals in 8 passes Wed Dec 17 14:12:53 2025 max relations containing the same ideal: 63 Wed Dec 17 14:13:01 2025 removing 4983743 relations and 3422771 ideals in 1560972 cliques Wed Dec 17 14:13:02 2025 commencing in-memory singleton removal Wed Dec 17 14:13:02 2025 begin with 19348119 relations and 21732944 unique ideals Wed Dec 17 14:13:04 2025 reduce to 18721435 relations and 17648484 ideals in 9 passes Wed Dec 17 14:13:04 2025 max relations containing the same ideal: 51 Wed Dec 17 14:13:10 2025 removing 221358 relations and 186353 ideals in 35005 cliques Wed Dec 17 14:13:11 2025 commencing in-memory singleton removal Wed Dec 17 14:13:11 2025 begin with 18500077 relations and 17648484 unique ideals Wed Dec 17 14:13:11 2025 reduce to 18498481 relations and 17460529 ideals in 5 passes Wed Dec 17 14:13:11 2025 max relations containing the same ideal: 50 Wed Dec 17 14:13:13 2025 relations with 0 large ideals: 2745 Wed Dec 17 14:13:13 2025 relations with 1 large ideals: 37404 Wed Dec 17 14:13:13 2025 relations with 2 large ideals: 413365 Wed Dec 17 14:13:13 2025 relations with 3 large ideals: 1835199 Wed Dec 17 14:13:13 2025 relations with 4 large ideals: 4145984 Wed Dec 17 14:13:13 2025 relations with 5 large ideals: 5320501 Wed Dec 17 14:13:13 2025 relations with 6 large ideals: 4131068 Wed Dec 17 14:13:13 2025 relations with 7+ large ideals: 2612215 Wed Dec 17 14:13:13 2025 commencing 2-way merge Wed Dec 17 14:13:18 2025 reduce to 11693757 relation sets and 10655805 unique ideals Wed Dec 17 14:13:18 2025 commencing full merge Wed Dec 17 14:15:26 2025 memory use: 1301.9 MB Wed Dec 17 14:15:27 2025 found 5900836 cycles, need 5760005 Wed Dec 17 14:15:29 2025 weight of 5760005 cycles is about 518920216 (90.09/cycle) Wed Dec 17 14:15:29 2025 distribution of cycle lengths: Wed Dec 17 14:15:29 2025 1 relations: 342075 Wed Dec 17 14:15:29 2025 2 relations: 489093 Wed Dec 17 14:15:29 2025 3 relations: 563519 Wed Dec 17 14:15:29 2025 4 relations: 581070 Wed Dec 17 14:15:29 2025 5 relations: 589899 Wed Dec 17 14:15:29 2025 6 relations: 560889 Wed Dec 17 14:15:29 2025 7 relations: 521004 Wed Dec 17 14:15:29 2025 8 relations: 459738 Wed Dec 17 14:15:29 2025 9 relations: 391288 Wed Dec 17 14:15:29 2025 10+ relations: 1261430 Wed Dec 17 14:15:29 2025 heaviest cycle: 20 relations Wed Dec 17 14:15:31 2025 commencing cycle optimization Wed Dec 17 14:15:39 2025 start with 37867736 relations Wed Dec 17 14:16:20 2025 pruned 1313611 relations Wed Dec 17 14:16:21 2025 memory use: 1148.4 MB Wed Dec 17 14:16:21 2025 distribution of cycle lengths: Wed Dec 17 14:16:21 2025 1 relations: 342075 Wed Dec 17 14:16:21 2025 2 relations: 501666 Wed Dec 17 14:16:21 2025 3 relations: 588439 Wed Dec 17 14:16:21 2025 4 relations: 603990 Wed Dec 17 14:16:21 2025 5 relations: 616977 Wed Dec 17 14:16:21 2025 6 relations: 583593 Wed Dec 17 14:16:21 2025 7 relations: 540715 Wed Dec 17 14:16:21 2025 8 relations: 469911 Wed Dec 17 14:16:21 2025 9 relations: 394135 Wed Dec 17 14:16:21 2025 10+ relations: 1118504 Wed Dec 17 14:16:21 2025 heaviest cycle: 19 relations Wed Dec 17 14:16:27 2025 RelProcTime: 1569 Wed Dec 17 14:16:28 2025 Wed Dec 17 14:16:28 2025 commencing linear algebra Wed Dec 17 14:16:28 2025 using VBITS=256 Wed Dec 17 14:16:29 2025 read 5760005 cycles Wed Dec 17 14:16:35 2025 cycles contain 17940856 unique relations Wed Dec 17 14:16:53 2025 read 17940856 relations Wed Dec 17 14:16:57 2025 using 20 quadratic characters above 4294917295 Wed Dec 17 14:17:05 2025 building initial matrix Wed Dec 17 14:19:26 2025 memory use: 2513.5 MB Wed Dec 17 14:19:28 2025 read 5760005 cycles Wed Dec 17 14:19:29 2025 matrix is 5759824 x 5760005 (2144.4 MB) with weight 665042769 (115.46/col) Wed Dec 17 14:19:29 2025 sparse part has weight 493017026 (85.59/col) Wed Dec 17 14:20:05 2025 filtering completed in 2 passes Wed Dec 17 14:20:06 2025 matrix is 5758653 x 5758832 (2144.2 MB) with weight 664986378 (115.47/col) Wed Dec 17 14:20:06 2025 sparse part has weight 492995868 (85.61/col) Wed Dec 17 14:20:16 2025 matrix starts at (0, 0) Wed Dec 17 14:20:17 2025 matrix is 5758653 x 5758832 (2144.2 MB) with weight 664986378 (115.47/col) Wed Dec 17 14:20:17 2025 sparse part has weight 492995868 (85.61/col) Wed Dec 17 14:20:17 2025 saving the first 240 matrix rows for later Wed Dec 17 14:20:17 2025 matrix includes 256 packed rows Wed Dec 17 14:20:19 2025 matrix is 5758413 x 5758832 (1950.2 MB) with weight 447910124 (77.78/col) Wed Dec 17 14:20:19 2025 sparse part has weight 419084391 (72.77/col) Wed Dec 17 14:20:19 2025 using GPU 0 (NVIDIA GeForce RTX 5070) Wed Dec 17 14:20:19 2025 selected card has CUDA arch 12.0 Wed Dec 17 14:20:36 2025 commencing Lanczos iteration Wed Dec 17 14:20:38 2025 memory use: 4647.3 MB Wed Dec 17 14:20:50 2025 linear algebra at 0.5%, ETA 0h37m Wed Dec 17 14:21:11 2025 checking every 130000 dimensions, checkpointing every 8450000 dimensions Wed Dec 17 15:01:56 2025 lanczos halted after 22562 iterations (dim = 5758410) Wed Dec 17 15:02:18 2025 recovered 28 nontrivial dependencies Wed Dec 17 15:02:18 2025 BLanczosTime: 2750 Wed Dec 17 15:02:18 2025 Wed Dec 17 15:02:18 2025 commencing square root phase Wed Dec 17 15:02:18 2025 reading relations for dependency 1 Wed Dec 17 15:02:19 2025 read 2880044 cycles Wed Dec 17 15:02:22 2025 cycles contain 8972060 unique relations Wed Dec 17 15:04:20 2025 read 8972060 relations Wed Dec 17 15:04:42 2025 multiplying 8972060 relations Wed Dec 17 15:05:29 2025 multiply complete, coefficients have about 471.12 million bits Wed Dec 17 15:05:30 2025 initial square root is modulo 283997867 Wed Dec 17 15:07:09 2025 sqrtTime: 291 Wed Dec 17 15:07:09 2025 p73 factor: 6624718506088752106373041502276172468021439952553851583039967361537600699 Wed Dec 17 15:07:09 2025 p91 factor: 1059104284565531839398684091560649295541851160038881567777139951518070368007388267902752583 Wed Dec 17 15:07:09 2025 elapsed time 01:16:52