Thu Jul 3 18:10:16 2025 Thu Jul 3 18:10:16 2025 Thu Jul 3 18:10:16 2025 Msieve v. 1.54 (SVN unknown) Thu Jul 3 18:10:16 2025 random seeds: 8a759b96 7d7d8105 Thu Jul 3 18:10:16 2025 factoring 284990857521015000885348445963568526611524825317448136079827779460259633208269143011979209037602361438521527657816544044943297279133891692354305304861141089372737573692404180736345588637300364785408010415557396437513629408231333001303794981 (240 digits) Thu Jul 3 18:10:18 2025 no P-1/P+1/ECM available, skipping Thu Jul 3 18:10:18 2025 commencing number field sieve (240-digit input) Thu Jul 3 18:10:18 2025 R0: 89202980794122492566142873090593446023921664 Thu Jul 3 18:10:18 2025 R1: -1 Thu Jul 3 18:10:18 2025 A0: -4 Thu Jul 3 18:10:18 2025 A1: 0 Thu Jul 3 18:10:18 2025 A2: 0 Thu Jul 3 18:10:18 2025 A3: 0 Thu Jul 3 18:10:18 2025 A4: 0 Thu Jul 3 18:10:18 2025 A5: 0 Thu Jul 3 18:10:18 2025 A6: 5 Thu Jul 3 18:10:18 2025 skew 0.79, size 4.371e-13, alpha 2.070, combined = 6.179e-14 rroots = 2 Thu Jul 3 18:10:18 2025 Thu Jul 3 18:10:18 2025 commencing relation filtering Thu Jul 3 18:10:18 2025 setting target matrix density to 106.0 Thu Jul 3 18:10:18 2025 estimated available RAM is 128741.5 MB Thu Jul 3 18:10:18 2025 commencing duplicate removal, pass 1 Thu Jul 3 19:25:49 2025 error -1 reading relation 413521729 Thu Jul 3 19:28:12 2025 error -11 reading relation 426472352 Thu Jul 3 19:32:32 2025 skipped 1833 relations with b > 2^32 Thu Jul 3 19:32:32 2025 skipped 3 relations with composite factors Thu Jul 3 19:32:32 2025 skipped 3 malformed relations Thu Jul 3 19:32:32 2025 found 22023212 hash collisions in 450062870 relations Thu Jul 3 19:32:50 2025 added 1218185 free relations Thu Jul 3 19:32:50 2025 commencing duplicate removal, pass 2 Thu Jul 3 19:38:01 2025 found 7 duplicates and 451281048 unique relations Thu Jul 3 19:38:01 2025 memory use: 1577.5 MB Thu Jul 3 19:38:02 2025 reading ideals above 720000 Thu Jul 3 19:38:02 2025 commencing singleton removal, initial pass Thu Jul 3 21:25:30 2025 memory use: 11024.0 MB Thu Jul 3 21:25:31 2025 reading all ideals from disk Thu Jul 3 21:27:03 2025 memory use: 22271.7 MB Thu Jul 3 21:28:55 2025 keeping 436487411 ideals with weight <= 200, target excess is 2383533 Thu Jul 3 21:30:31 2025 commencing in-memory singleton removal Thu Jul 3 21:33:10 2025 begin with 451281048 relations and 436487411 unique ideals Thu Jul 3 21:40:19 2025 reduce to 245890283 relations and 205518958 ideals in 16 passes Thu Jul 3 21:40:19 2025 max relations containing the same ideal: 144 Thu Jul 3 21:43:40 2025 removing 14655559 relations and 12655559 ideals in 2000000 cliques Thu Jul 3 21:43:50 2025 commencing in-memory singleton removal Thu Jul 3 21:45:02 2025 begin with 231234724 relations and 205518958 unique ideals Thu Jul 3 21:47:26 2025 reduce to 230577085 relations and 192198411 ideals in 8 passes Thu Jul 3 21:47:26 2025 max relations containing the same ideal: 137 Thu Jul 3 21:50:28 2025 removing 11014744 relations and 9014744 ideals in 2000000 cliques Thu Jul 3 21:50:37 2025 commencing in-memory singleton removal Thu Jul 3 21:51:44 2025 begin with 219562341 relations and 192198411 unique ideals Thu Jul 3 21:54:42 2025 reduce to 219142171 relations and 182759625 ideals in 10 passes Thu Jul 3 21:54:42 2025 max relations containing the same ideal: 133 Thu Jul 3 21:57:59 2025 removing 9876863 relations and 7876863 ideals in 2000000 cliques Thu Jul 3 21:58:11 2025 commencing in-memory singleton removal Thu Jul 3 21:59:27 2025 begin with 209265308 relations and 182759625 unique ideals Thu Jul 3 22:01:54 2025 reduce to 208904668 relations and 174518792 ideals in 8 passes Thu Jul 3 22:01:54 2025 max relations containing the same ideal: 131 Thu Jul 3 22:04:41 2025 removing 9255440 relations and 7255440 ideals in 2000000 cliques Thu Jul 3 22:04:49 2025 commencing in-memory singleton removal Thu Jul 3 22:05:49 2025 begin with 199649228 relations and 174518792 unique ideals Thu Jul 3 22:07:40 2025 reduce to 199315422 relations and 166926463 ideals in 7 passes Thu Jul 3 22:07:40 2025 max relations containing the same ideal: 128 Thu Jul 3 22:10:21 2025 removing 8849250 relations and 6849250 ideals in 2000000 cliques Thu Jul 3 22:10:29 2025 commencing in-memory singleton removal Thu Jul 3 22:11:25 2025 begin with 190466172 relations and 166926463 unique ideals Thu Jul 3 22:13:14 2025 reduce to 190144949 relations and 159752978 ideals in 7 passes Thu Jul 3 22:13:14 2025 max relations containing the same ideal: 123 Thu Jul 3 22:15:58 2025 removing 8566159 relations and 6566159 ideals in 2000000 cliques Thu Jul 3 22:16:11 2025 commencing in-memory singleton removal Thu Jul 3 22:17:09 2025 begin with 181578790 relations and 159752978 unique ideals Thu Jul 3 22:19:15 2025 reduce to 181263177 relations and 152868128 ideals in 7 passes Thu Jul 3 22:19:15 2025 max relations containing the same ideal: 120 Thu Jul 3 22:21:39 2025 removing 8358489 relations and 6358489 ideals in 2000000 cliques Thu Jul 3 22:21:46 2025 commencing in-memory singleton removal Thu Jul 3 22:22:37 2025 begin with 172904688 relations and 152868128 unique ideals Thu Jul 3 22:24:10 2025 reduce to 172590038 relations and 146191748 ideals in 7 passes Thu Jul 3 22:24:10 2025 max relations containing the same ideal: 115 Thu Jul 3 22:26:26 2025 removing 8208705 relations and 6208705 ideals in 2000000 cliques Thu Jul 3 22:26:33 2025 commencing in-memory singleton removal Thu Jul 3 22:27:20 2025 begin with 164381333 relations and 146191748 unique ideals Thu Jul 3 22:29:11 2025 reduce to 164063783 relations and 139662249 ideals in 8 passes Thu Jul 3 22:29:11 2025 max relations containing the same ideal: 111 Thu Jul 3 22:31:19 2025 removing 8099118 relations and 6099118 ideals in 2000000 cliques Thu Jul 3 22:31:25 2025 commencing in-memory singleton removal Thu Jul 3 22:32:12 2025 begin with 155964665 relations and 139662249 unique ideals Thu Jul 3 22:33:41 2025 reduce to 155639747 relations and 133234689 ideals in 7 passes Thu Jul 3 22:33:41 2025 max relations containing the same ideal: 108 Thu Jul 3 22:35:44 2025 removing 8016627 relations and 6016627 ideals in 2000000 cliques Thu Jul 3 22:35:52 2025 commencing in-memory singleton removal Thu Jul 3 22:36:35 2025 begin with 147623120 relations and 133234689 unique ideals Thu Jul 3 22:37:57 2025 reduce to 147289738 relations and 126880827 ideals in 7 passes Thu Jul 3 22:37:57 2025 max relations containing the same ideal: 105 Thu Jul 3 22:39:54 2025 removing 7965059 relations and 5965059 ideals in 2000000 cliques Thu Jul 3 22:40:00 2025 commencing in-memory singleton removal Thu Jul 3 22:40:40 2025 begin with 139324679 relations and 126880827 unique ideals Thu Jul 3 22:41:53 2025 reduce to 138978082 relations and 120564965 ideals in 7 passes Thu Jul 3 22:41:53 2025 max relations containing the same ideal: 98 Thu Jul 3 22:43:41 2025 removing 7935144 relations and 5935144 ideals in 2000000 cliques Thu Jul 3 22:43:46 2025 commencing in-memory singleton removal Thu Jul 3 22:44:23 2025 begin with 131042938 relations and 120564965 unique ideals Thu Jul 3 22:45:45 2025 reduce to 130680038 relations and 114262292 ideals in 8 passes Thu Jul 3 22:45:45 2025 max relations containing the same ideal: 95 Thu Jul 3 22:47:26 2025 removing 7931886 relations and 5931886 ideals in 2000000 cliques Thu Jul 3 22:47:32 2025 commencing in-memory singleton removal Thu Jul 3 22:48:07 2025 begin with 122748152 relations and 114262292 unique ideals Thu Jul 3 22:49:11 2025 reduce to 122362507 relations and 107939561 ideals in 7 passes Thu Jul 3 22:49:11 2025 max relations containing the same ideal: 89 Thu Jul 3 22:50:48 2025 removing 7935849 relations and 5935849 ideals in 2000000 cliques Thu Jul 3 22:50:55 2025 commencing in-memory singleton removal Thu Jul 3 22:51:27 2025 begin with 114426658 relations and 107939561 unique ideals Thu Jul 3 22:52:37 2025 reduce to 114013455 relations and 101584598 ideals in 8 passes Thu Jul 3 22:52:37 2025 max relations containing the same ideal: 87 Thu Jul 3 22:54:07 2025 removing 7967185 relations and 5967185 ideals in 2000000 cliques Thu Jul 3 22:54:13 2025 commencing in-memory singleton removal Thu Jul 3 22:54:44 2025 begin with 106046270 relations and 101584598 unique ideals Thu Jul 3 22:55:45 2025 reduce to 105600813 relations and 95165103 ideals in 8 passes Thu Jul 3 22:55:45 2025 max relations containing the same ideal: 82 Thu Jul 3 22:57:08 2025 removing 8016781 relations and 6016781 ideals in 2000000 cliques Thu Jul 3 22:57:12 2025 commencing in-memory singleton removal Thu Jul 3 22:57:40 2025 begin with 97584032 relations and 95165103 unique ideals Thu Jul 3 22:58:39 2025 reduce to 97094669 relations and 88650947 ideals in 8 passes Thu Jul 3 22:58:39 2025 max relations containing the same ideal: 79 Thu Jul 3 22:59:55 2025 removing 8096407 relations and 6096407 ideals in 2000000 cliques Thu Jul 3 23:00:00 2025 commencing in-memory singleton removal Thu Jul 3 23:00:24 2025 begin with 88998262 relations and 88650947 unique ideals Thu Jul 3 23:01:19 2025 reduce to 88453165 relations and 81999807 ideals in 8 passes Thu Jul 3 23:01:19 2025 max relations containing the same ideal: 74 Thu Jul 3 23:02:30 2025 removing 8201184 relations and 6201184 ideals in 2000000 cliques Thu Jul 3 23:02:34 2025 commencing in-memory singleton removal Thu Jul 3 23:02:59 2025 begin with 80251981 relations and 81999807 unique ideals Thu Jul 3 23:03:54 2025 reduce to 79629628 relations and 75164412 ideals in 8 passes Thu Jul 3 23:03:54 2025 max relations containing the same ideal: 70 Thu Jul 3 23:04:58 2025 removing 7328821 relations and 5628504 ideals in 1700317 cliques Thu Jul 3 23:05:03 2025 commencing in-memory singleton removal Thu Jul 3 23:05:22 2025 begin with 72300807 relations and 75164412 unique ideals Thu Jul 3 23:06:06 2025 reduce to 71748606 relations and 68973676 ideals in 8 passes Thu Jul 3 23:06:06 2025 max relations containing the same ideal: 63 Thu Jul 3 23:07:04 2025 removing 94752 relations and 84721 ideals in 10031 cliques Thu Jul 3 23:07:07 2025 commencing in-memory singleton removal Thu Jul 3 23:07:26 2025 begin with 71653854 relations and 68973676 unique ideals Thu Jul 3 23:07:48 2025 reduce to 71653749 relations and 68888850 ideals in 4 passes Thu Jul 3 23:07:48 2025 max relations containing the same ideal: 63 Thu Jul 3 23:08:02 2025 relations with 0 large ideals: 85728 Thu Jul 3 23:08:02 2025 relations with 1 large ideals: 101933 Thu Jul 3 23:08:02 2025 relations with 2 large ideals: 960706 Thu Jul 3 23:08:02 2025 relations with 3 large ideals: 4591105 Thu Jul 3 23:08:02 2025 relations with 4 large ideals: 12019488 Thu Jul 3 23:08:02 2025 relations with 5 large ideals: 18741793 Thu Jul 3 23:08:02 2025 relations with 6 large ideals: 18112124 Thu Jul 3 23:08:02 2025 relations with 7+ large ideals: 17040872 Thu Jul 3 23:08:02 2025 commencing 2-way merge Thu Jul 3 23:09:26 2025 reduce to 43759895 relation sets and 40994996 unique ideals Thu Jul 3 23:09:26 2025 commencing full merge Thu Jul 3 23:27:32 2025 memory use: 5028.9 MB Thu Jul 3 23:27:38 2025 found 20301680 cycles, need 19999196 Thu Jul 3 23:27:46 2025 weight of 19999196 cycles is about 2120050961 (106.01/cycle) Thu Jul 3 23:27:46 2025 distribution of cycle lengths: Thu Jul 3 23:27:46 2025 1 relations: 1756760 Thu Jul 3 23:27:46 2025 2 relations: 1590744 Thu Jul 3 23:27:46 2025 3 relations: 1580927 Thu Jul 3 23:27:46 2025 4 relations: 1536762 Thu Jul 3 23:27:46 2025 5 relations: 1505532 Thu Jul 3 23:27:46 2025 6 relations: 1464654 Thu Jul 3 23:27:46 2025 7 relations: 1403809 Thu Jul 3 23:27:46 2025 8 relations: 1328782 Thu Jul 3 23:27:46 2025 9 relations: 1226063 Thu Jul 3 23:27:46 2025 10+ relations: 6605163 Thu Jul 3 23:27:46 2025 heaviest cycle: 27 relations Thu Jul 3 23:27:54 2025 commencing cycle optimization Thu Jul 3 23:28:43 2025 start with 153967975 relations Thu Jul 3 23:34:52 2025 pruned 5444342 relations Thu Jul 3 23:34:53 2025 memory use: 4475.6 MB Thu Jul 3 23:34:53 2025 distribution of cycle lengths: Thu Jul 3 23:34:53 2025 1 relations: 1756760 Thu Jul 3 23:34:53 2025 2 relations: 1625126 Thu Jul 3 23:34:53 2025 3 relations: 1638000 Thu Jul 3 23:34:53 2025 4 relations: 1588337 Thu Jul 3 23:34:53 2025 5 relations: 1566669 Thu Jul 3 23:34:53 2025 6 relations: 1518745 Thu Jul 3 23:34:53 2025 7 relations: 1460370 Thu Jul 3 23:34:53 2025 8 relations: 1372918 Thu Jul 3 23:34:53 2025 9 relations: 1264926 Thu Jul 3 23:34:53 2025 10+ relations: 6207345 Thu Jul 3 23:34:53 2025 heaviest cycle: 27 relations Thu Jul 3 23:35:56 2025 RelProcTime: 19538 Thu Jul 3 23:35:56 2025 Thu Jul 3 23:35:56 2025 commencing linear algebra Thu Jul 3 23:35:56 2025 using VBITS=128 Thu Jul 3 23:35:58 2025 read 19999196 cycles Thu Jul 3 23:36:53 2025 cycles contain 69851174 unique relations Thu Jul 3 23:46:39 2025 read 69851174 relations Thu Jul 3 23:49:26 2025 using 20 quadratic characters above 4294917295 Thu Jul 3 23:56:03 2025 building initial matrix Fri Jul 4 00:12:54 2025 memory use: 8521.3 MB Fri Jul 4 00:13:10 2025 read 19999196 cycles Fri Jul 4 00:13:14 2025 matrix is 19999005 x 19999196 (8489.2 MB) with weight 2411738960 (120.59/col) Fri Jul 4 00:13:14 2025 sparse part has weight 2005403795 (100.27/col) Fri Jul 4 00:19:25 2025 filtering completed in 2 passes Fri Jul 4 00:19:29 2025 matrix is 19993843 x 19994033 (8488.7 MB) with weight 2411547972 (120.61/col) Fri Jul 4 00:19:29 2025 sparse part has weight 2005319126 (100.30/col) Fri Jul 4 00:21:20 2025 matrix starts at (0, 0) Fri Jul 4 00:21:23 2025 matrix is 19993843 x 19994033 (8488.7 MB) with weight 2411547972 (120.61/col) Fri Jul 4 00:21:23 2025 sparse part has weight 2005319126 (100.30/col) Fri Jul 4 00:21:23 2025 saving the first 112 matrix rows for later Fri Jul 4 00:21:27 2025 matrix includes 128 packed rows Fri Jul 4 00:21:32 2025 matrix is 19993731 x 19994033 (7924.4 MB) with weight 1933851385 (96.72/col) Fri Jul 4 00:21:32 2025 sparse part has weight 1837417687 (91.90/col) Fri Jul 4 00:21:33 2025 using GPU 0 (Tesla P100-PCIE-16GB) Fri Jul 4 00:21:33 2025 selected card has CUDA arch 6.0 Fri Jul 4 00:40:15 2025 commencing Lanczos iteration Fri Jul 4 06:35:27 2025 Fri Jul 4 06:35:27 2025 Fri Jul 4 06:35:27 2025 Msieve v. 1.54 (SVN unknown) Fri Jul 4 06:35:27 2025 random seeds: 26e72967 8085c827 Fri Jul 4 06:35:27 2025 factoring 284990857521015000885348445963568526611524825317448136079827779460259633208269143011979209037602361438521527657816544044943297279133891692354305304861141089372737573692404180736345588637300364785408010415557396437513629408231333001303794981 (240 digits) Fri Jul 4 06:35:28 2025 no P-1/P+1/ECM available, skipping Fri Jul 4 06:35:28 2025 commencing number field sieve (240-digit input) Fri Jul 4 06:35:28 2025 R0: 89202980794122492566142873090593446023921664 Fri Jul 4 06:35:28 2025 R1: -1 Fri Jul 4 06:35:28 2025 A0: -4 Fri Jul 4 06:35:28 2025 A1: 0 Fri Jul 4 06:35:28 2025 A2: 0 Fri Jul 4 06:35:28 2025 A3: 0 Fri Jul 4 06:35:28 2025 A4: 0 Fri Jul 4 06:35:28 2025 A5: 0 Fri Jul 4 06:35:28 2025 A6: 5 Fri Jul 4 06:35:28 2025 skew 0.79, size 4.371e-13, alpha 2.070, combined = 6.179e-14 rroots = 2 Fri Jul 4 06:35:28 2025 Fri Jul 4 06:35:28 2025 commencing linear algebra Fri Jul 4 06:35:28 2025 using VBITS=128 Fri Jul 4 06:35:33 2025 read 19994033 cycles Fri Jul 4 06:36:37 2025 cycles contain 69850171 unique relations Fri Jul 4 06:46:16 2025 read 69850171 relations Fri Jul 4 06:49:38 2025 using 20 quadratic characters above 4294917295 Fri Jul 4 06:56:17 2025 building initial matrix Fri Jul 4 07:15:31 2025 memory use: 8521.0 MB Fri Jul 4 07:15:49 2025 read 19994033 cycles Fri Jul 4 07:15:53 2025 matrix is 19993843 x 19994033 (8488.7 MB) with weight 2411547972 (120.61/col) Fri Jul 4 07:15:53 2025 sparse part has weight 2005319126 (100.30/col) Fri Jul 4 07:18:53 2025 filtering completed in 1 passes Fri Jul 4 07:18:56 2025 matrix is 19993843 x 19994033 (8488.7 MB) with weight 2411547972 (120.61/col) Fri Jul 4 07:18:56 2025 sparse part has weight 2005319126 (100.30/col) Fri Jul 4 07:20:59 2025 matrix starts at (0, 0) Fri Jul 4 07:21:02 2025 matrix is 19993843 x 19994033 (8488.7 MB) with weight 2411547972 (120.61/col) Fri Jul 4 07:21:02 2025 sparse part has weight 2005319126 (100.30/col) Fri Jul 4 07:21:02 2025 saving the first 112 matrix rows for later Fri Jul 4 07:21:06 2025 matrix includes 128 packed rows Fri Jul 4 07:21:11 2025 matrix is 19993731 x 19994033 (7924.4 MB) with weight 1933851385 (96.72/col) Fri Jul 4 07:21:11 2025 sparse part has weight 1837417687 (91.90/col) Fri Jul 4 07:21:12 2025 using GPU 0 (Tesla P100-PCIE-16GB) Fri Jul 4 07:21:12 2025 selected card has CUDA arch 6.0 Fri Jul 4 07:57:38 2025 commencing Lanczos iteration Fri Jul 4 07:57:40 2025 memory use: 16764.1 MB Fri Jul 4 08:07:11 2025 linear algebra at 0.2%, ETA 102h47m Fri Jul 4 08:09:35 2025 checking every 10000 dimensions, checkpointing every 200000 dimensions Tue Jul 8 18:55:00 2025 lanczos halted after 157141 iterations (dim = 19993731) Tue Jul 8 19:08:01 2025 recovered 40 nontrivial dependencies Tue Jul 8 19:08:31 2025 BLanczosTime: 390783 Tue Jul 8 19:08:31 2025 Tue Jul 8 19:08:31 2025 commencing square root phase Tue Jul 8 19:08:31 2025 handling dependencies 1 to 64 Tue Jul 8 19:08:31 2025 reading relations for dependency 1 Tue Jul 8 20:22:59 2025 read 9998605 cycles Tue Jul 8 20:23:51 2025 cycles contain 34931232 unique relations Tue Jul 8 20:31:47 2025 read 34931232 relations Tue Jul 8 20:37:23 2025 multiplying 34931232 relations Tue Jul 8 21:32:22 2025 multiply complete, coefficients have about 985.99 million bits Tue Jul 8 21:32:29 2025 initial square root is modulo 701122063 Tue Jul 8 22:21:24 2025 sqrtTime: 11573 Tue Jul 8 22:21:24 2025 p89 factor: 58058876795750705245441133766320074299270978980867661328119654859899965015869442639830709 Tue Jul 8 22:21:24 2025 p151 factor: 4908652616956470516882841725553258172254133939652989986557234054540721104350852104559020290437819591750450375682585122951443336253748163285410403615409 Tue Jul 8 22:21:24 2025 elapsed time 111:45:57