Mon Jul 20 09:33:54 2026 Msieve v. 1.54 (SVN Unversioned directory) Mon Jul 20 09:33:54 2026 random seeds: c9d0707a 773b8ed6 Mon Jul 20 09:33:54 2026 factoring 1845841001612896008168196755877944977959317444040334906503465443277796062290980335396939296157075658090901449949987633014862717612335660822784600841329242007483083994163 (169 digits) Mon Jul 20 09:33:55 2026 no P-1/P+1/ECM available, skipping Mon Jul 20 09:33:55 2026 commencing number field sieve (169-digit input) Mon Jul 20 09:33:55 2026 R0: -581689293039966466778845379333993 Mon Jul 20 09:33:55 2026 R1: 1147416201097232403419 Mon Jul 20 09:33:55 2026 A0: -5252906996826918165448894826444128675200 Mon Jul 20 09:33:55 2026 A1: 1684756245781734210524040747487704 Mon Jul 20 09:33:55 2026 A2: 421763909312455218672679832 Mon Jul 20 09:33:55 2026 A3: -5212591604469738509 Mon Jul 20 09:33:55 2026 A4: -1756488072712 Mon Jul 20 09:33:55 2026 A5: 27720 Mon Jul 20 09:33:55 2026 skew 15704929.37, size 2.986e-16, alpha -6.405, combined = 5.693e-13 rroots = 5 Mon Jul 20 09:33:55 2026 Mon Jul 20 09:33:55 2026 commencing relation filtering Mon Jul 20 09:33:55 2026 estimated available RAM is 31871.6 MB Mon Jul 20 09:33:55 2026 commencing duplicate removal, pass 1 Mon Jul 20 09:34:08 2026 error -1 reading relation 1144321 Mon Jul 20 09:34:16 2026 error -1 reading relation 2038098 Mon Jul 20 09:34:17 2026 error -1 reading relation 2136682 Mon Jul 20 09:34:34 2026 error -1 reading relation 3856317 Mon Jul 20 09:34:42 2026 error -1 reading relation 4649987 Mon Jul 20 09:34:42 2026 error -1 reading relation 4680877 Mon Jul 20 09:34:54 2026 error -1 reading relation 5802536 Mon Jul 20 09:35:31 2026 error -1 reading relation 9282572 Mon Jul 20 09:35:31 2026 error -1 reading relation 9282573 Mon Jul 20 09:35:44 2026 error -11 reading relation 10392993 Mon Jul 20 09:37:13 2026 error -1 reading relation 19081663 Mon Jul 20 09:37:18 2026 error -1 reading relation 19595904 Mon Jul 20 09:37:23 2026 error -1 reading relation 20037922 Mon Jul 20 09:37:36 2026 error -11 reading relation 21401334 Mon Jul 20 09:37:47 2026 error -1 reading relation 22523536 Mon Jul 20 09:37:51 2026 error -1 reading relation 22899041 Mon Jul 20 09:37:52 2026 error -1 reading relation 22989779 Mon Jul 20 09:38:11 2026 error -1 reading relation 24743389 Mon Jul 20 09:38:17 2026 error -1 reading relation 25445906 Mon Jul 20 09:38:33 2026 error -1 reading relation 26905518 Mon Jul 20 09:38:34 2026 error -1 reading relation 27073821 Mon Jul 20 09:38:45 2026 error -1 reading relation 28169167 Mon Jul 20 09:39:44 2026 error -1 reading relation 33885673 Mon Jul 20 09:39:44 2026 error -1 reading relation 33885674 Mon Jul 20 09:41:55 2026 error -1 reading relation 46693099 Mon Jul 20 09:42:03 2026 error -1 reading relation 47456005 Mon Jul 20 09:42:21 2026 error -1 reading relation 49095686 Mon Jul 20 09:42:23 2026 error -1 reading relation 49309162 Mon Jul 20 09:42:23 2026 error -1 reading relation 49309163 Mon Jul 20 09:42:24 2026 error -1 reading relation 49413723 Mon Jul 20 09:42:24 2026 error -1 reading relation 49413724 Mon Jul 20 09:42:24 2026 error -1 reading relation 49413725 Mon Jul 20 09:42:24 2026 error -1 reading relation 49413726 Mon Jul 20 09:42:57 2026 error -1 reading relation 52570438 Mon Jul 20 09:42:57 2026 error -1 reading relation 52570439 Mon Jul 20 09:43:01 2026 error -1 reading relation 52990528 Mon Jul 20 09:43:13 2026 error -1 reading relation 54083841 Mon Jul 20 09:43:38 2026 error -11 reading relation 56371514 Mon Jul 20 09:44:08 2026 error -1 reading relation 59265783 Mon Jul 20 09:44:34 2026 error -1 reading relation 61633794 Mon Jul 20 09:45:34 2026 error -1 reading relation 67572777 Mon Jul 20 09:46:48 2026 error -1 reading relation 74930247 Mon Jul 20 09:47:26 2026 error -1 reading relation 78719321 Mon Jul 20 09:47:41 2026 error -1 reading relation 80090126 Mon Jul 20 09:47:48 2026 error -1 reading relation 80850193 Mon Jul 20 09:48:09 2026 error -1 reading relation 82764108 Mon Jul 20 09:48:15 2026 error -1 reading relation 83230533 Mon Jul 20 09:48:51 2026 error -1 reading relation 86641319 Mon Jul 20 09:49:01 2026 error -1 reading relation 87689860 Mon Jul 20 09:49:07 2026 error -11 reading relation 88227513 Mon Jul 20 09:49:19 2026 error -1 reading relation 89374691 Mon Jul 20 09:49:35 2026 error -1 reading relation 90910661 Mon Jul 20 09:49:35 2026 error -1 reading relation 90910662 Mon Jul 20 09:49:41 2026 error -1 reading relation 91514480 Mon Jul 20 09:50:07 2026 error -1 reading relation 93902000 Mon Jul 20 09:50:33 2026 error -1 reading relation 96349275 Mon Jul 20 09:50:35 2026 error -1 reading relation 96501493 Mon Jul 20 09:50:59 2026 error -1 reading relation 98750137 Mon Jul 20 09:52:45 2026 error -1 reading relation 110117840 Mon Jul 20 09:53:00 2026 error -1 reading relation 111554193 Mon Jul 20 09:53:25 2026 error -1 reading relation 113966249 Mon Jul 20 09:53:25 2026 error -1 reading relation 113966250 Mon Jul 20 09:53:38 2026 error -1 reading relation 115145287 Mon Jul 20 09:53:44 2026 error -1 reading relation 115741487 Mon Jul 20 09:53:55 2026 error -1 reading relation 116751920 Mon Jul 20 09:54:15 2026 error -1 reading relation 118695282 Mon Jul 20 09:54:32 2026 error -1 reading relation 120323009 Mon Jul 20 09:55:12 2026 error -1 reading relation 124094949 Mon Jul 20 09:55:34 2026 error -1 reading relation 126209785 Mon Jul 20 09:55:55 2026 error -1 reading relation 128103854 Mon Jul 20 09:56:07 2026 error -1 reading relation 129219554 Mon Jul 20 09:56:30 2026 error -1 reading relation 131272980 Mon Jul 20 09:56:32 2026 error -1 reading relation 131518885 Mon Jul 20 09:57:52 2026 error -1 reading relation 139105196 Mon Jul 20 09:57:53 2026 error -1 reading relation 139250826 Mon Jul 20 09:57:54 2026 error -1 reading relation 139306646 Mon Jul 20 09:58:13 2026 skipped 14 malformed relations Mon Jul 20 09:58:13 2026 found 8507931 hash collisions in 141137987 relations Mon Jul 20 09:58:48 2026 added 122107 free relations Mon Jul 20 09:58:48 2026 commencing duplicate removal, pass 2 Mon Jul 20 10:04:35 2026 found 0 duplicates and 141260094 unique relations Mon Jul 20 10:04:35 2026 memory use: 426.4 MB Mon Jul 20 10:04:35 2026 reading ideals above 720000 Mon Jul 20 10:04:35 2026 commencing singleton removal, initial pass Mon Jul 20 10:38:45 2026 memory use: 3012.0 MB Mon Jul 20 10:38:46 2026 reading all ideals from disk Mon Jul 20 10:40:32 2026 memory use: 6536.4 MB Mon Jul 20 10:41:39 2026 keeping 128380361 ideals with weight <= 200, target excess is 710098 Mon Jul 20 10:42:15 2026 commencing in-memory singleton removal Mon Jul 20 10:42:54 2026 begin with 141260094 relations and 128380361 unique ideals Mon Jul 20 10:46:35 2026 reduce to 91941062 relations and 74357368 ideals in 13 passes Mon Jul 20 10:46:35 2026 max relations containing the same ideal: 158 Mon Jul 20 10:48:36 2026 removing 9196268 relations and 7196268 ideals in 2000000 cliques Mon Jul 20 10:48:41 2026 commencing in-memory singleton removal Mon Jul 20 10:49:04 2026 begin with 82744794 relations and 74357368 unique ideals Mon Jul 20 10:50:45 2026 reduce to 82044536 relations and 66442613 ideals in 8 passes Mon Jul 20 10:50:45 2026 max relations containing the same ideal: 145 Mon Jul 20 10:52:28 2026 removing 7276280 relations and 5276280 ideals in 2000000 cliques Mon Jul 20 10:52:33 2026 commencing in-memory singleton removal Mon Jul 20 10:52:50 2026 begin with 74768256 relations and 66442613 unique ideals Mon Jul 20 10:54:22 2026 reduce to 74259259 relations and 60645151 ideals in 8 passes Mon Jul 20 10:54:22 2026 max relations containing the same ideal: 138 Mon Jul 20 10:55:54 2026 removing 6761695 relations and 4761695 ideals in 2000000 cliques Mon Jul 20 10:56:00 2026 commencing in-memory singleton removal Mon Jul 20 10:56:16 2026 begin with 67497564 relations and 60645151 unique ideals Mon Jul 20 10:57:23 2026 reduce to 67021105 relations and 55395030 ideals in 7 passes Mon Jul 20 10:57:23 2026 max relations containing the same ideal: 130 Mon Jul 20 10:58:45 2026 removing 6531105 relations and 4531105 ideals in 2000000 cliques Mon Jul 20 10:58:50 2026 commencing in-memory singleton removal Mon Jul 20 10:59:03 2026 begin with 60490000 relations and 55395030 unique ideals Mon Jul 20 11:00:03 2026 reduce to 60010835 relations and 50372066 ideals in 7 passes Mon Jul 20 11:00:03 2026 max relations containing the same ideal: 121 Mon Jul 20 11:01:16 2026 removing 6415252 relations and 4415252 ideals in 2000000 cliques Mon Jul 20 11:01:20 2026 commencing in-memory singleton removal Mon Jul 20 11:01:32 2026 begin with 53595583 relations and 50372066 unique ideals Mon Jul 20 11:02:24 2026 reduce to 53086553 relations and 45432784 ideals in 7 passes Mon Jul 20 11:02:24 2026 max relations containing the same ideal: 113 Mon Jul 20 11:03:31 2026 removing 6370178 relations and 4370178 ideals in 2000000 cliques Mon Jul 20 11:03:35 2026 commencing in-memory singleton removal Mon Jul 20 11:03:45 2026 begin with 46716375 relations and 45432784 unique ideals Mon Jul 20 11:04:36 2026 reduce to 46160334 relations and 40488510 ideals in 8 passes Mon Jul 20 11:04:36 2026 max relations containing the same ideal: 102 Mon Jul 20 11:05:32 2026 removing 6370448 relations and 4370448 ideals in 2000000 cliques Mon Jul 20 11:05:36 2026 commencing in-memory singleton removal Mon Jul 20 11:05:44 2026 begin with 39789886 relations and 40488510 unique ideals Mon Jul 20 11:06:19 2026 reduce to 39156184 relations and 35460480 ideals in 7 passes Mon Jul 20 11:06:19 2026 max relations containing the same ideal: 90 Mon Jul 20 11:07:08 2026 removing 6407644 relations and 4407644 ideals in 2000000 cliques Mon Jul 20 11:07:11 2026 commencing in-memory singleton removal Mon Jul 20 11:07:18 2026 begin with 32748540 relations and 35460480 unique ideals Mon Jul 20 11:07:55 2026 reduce to 31994558 relations and 30265898 ideals in 9 passes Mon Jul 20 11:07:55 2026 max relations containing the same ideal: 83 Mon Jul 20 11:08:35 2026 removing 3461118 relations and 2556172 ideals in 904946 cliques Mon Jul 20 11:08:38 2026 commencing in-memory singleton removal Mon Jul 20 11:08:44 2026 begin with 28533440 relations and 30265898 unique ideals Mon Jul 20 11:09:07 2026 reduce to 28265001 relations and 27434549 ideals in 7 passes Mon Jul 20 11:09:07 2026 max relations containing the same ideal: 73 Mon Jul 20 11:09:47 2026 relations with 0 large ideals: 2677 Mon Jul 20 11:09:47 2026 relations with 1 large ideals: 12872 Mon Jul 20 11:09:47 2026 relations with 2 large ideals: 181695 Mon Jul 20 11:09:47 2026 relations with 3 large ideals: 1093285 Mon Jul 20 11:09:47 2026 relations with 4 large ideals: 3505204 Mon Jul 20 11:09:47 2026 relations with 5 large ideals: 6629664 Mon Jul 20 11:09:47 2026 relations with 6 large ideals: 7808263 Mon Jul 20 11:09:47 2026 relations with 7+ large ideals: 9031341 Mon Jul 20 11:09:47 2026 commencing 2-way merge Mon Jul 20 11:10:36 2026 reduce to 18489922 relation sets and 17659470 unique ideals Mon Jul 20 11:10:36 2026 commencing full merge Mon Jul 20 11:22:40 2026 memory use: 2162.9 MB Mon Jul 20 11:22:43 2026 found 9190078 cycles, need 9075670 Mon Jul 20 11:22:50 2026 weight of 9075670 cycles is about 817325017 (90.06/cycle) Mon Jul 20 11:22:50 2026 distribution of cycle lengths: Mon Jul 20 11:22:50 2026 1 relations: 637523 Mon Jul 20 11:22:50 2026 2 relations: 833480 Mon Jul 20 11:22:50 2026 3 relations: 912011 Mon Jul 20 11:22:50 2026 4 relations: 895223 Mon Jul 20 11:22:50 2026 5 relations: 884269 Mon Jul 20 11:22:50 2026 6 relations: 833902 Mon Jul 20 11:22:50 2026 7 relations: 769555 Mon Jul 20 11:22:50 2026 8 relations: 683134 Mon Jul 20 11:22:50 2026 9 relations: 590754 Mon Jul 20 11:22:50 2026 10+ relations: 2035819 Mon Jul 20 11:22:50 2026 heaviest cycle: 22 relations Mon Jul 20 11:22:55 2026 commencing cycle optimization Mon Jul 20 11:23:29 2026 start with 59597973 relations Mon Jul 20 11:27:00 2026 pruned 2143064 relations Mon Jul 20 11:27:03 2026 memory use: 1782.6 MB Mon Jul 20 11:27:03 2026 distribution of cycle lengths: Mon Jul 20 11:27:03 2026 1 relations: 637523 Mon Jul 20 11:27:03 2026 2 relations: 855531 Mon Jul 20 11:27:03 2026 3 relations: 951914 Mon Jul 20 11:27:03 2026 4 relations: 929722 Mon Jul 20 11:27:03 2026 5 relations: 923256 Mon Jul 20 11:27:03 2026 6 relations: 864817 Mon Jul 20 11:27:03 2026 7 relations: 795820 Mon Jul 20 11:27:03 2026 8 relations: 698685 Mon Jul 20 11:27:03 2026 9 relations: 596747 Mon Jul 20 11:27:03 2026 10+ relations: 1821655 Mon Jul 20 11:27:03 2026 heaviest cycle: 21 relations Mon Jul 20 11:27:29 2026 RelProcTime: 6814 Mon Jul 20 11:27:35 2026 Mon Jul 20 11:27:35 2026 commencing linear algebra Mon Jul 20 11:27:35 2026 using VBITS=256 Mon Jul 20 11:27:36 2026 read 9075670 cycles Mon Jul 20 11:28:00 2026 cycles contain 27767231 unique relations Mon Jul 20 11:33:50 2026 read 27767231 relations Mon Jul 20 11:36:57 2026 using 20 quadratic characters above 4294917295 Mon Jul 20 11:40:01 2026 building initial matrix Mon Jul 20 11:49:59 2026 memory use: 3839.7 MB Mon Jul 20 11:50:17 2026 read 9075670 cycles Mon Jul 20 11:50:18 2026 matrix is 9075492 x 9075670 (3382.3 MB) with weight 1050247659 (115.72/col) Mon Jul 20 11:50:18 2026 sparse part has weight 777729686 (85.69/col) Mon Jul 20 11:53:24 2026 filtering completed in 2 passes Mon Jul 20 11:53:28 2026 matrix is 9074164 x 9074340 (3382.1 MB) with weight 1050190259 (115.73/col) Mon Jul 20 11:53:28 2026 sparse part has weight 777711957 (85.70/col) Mon Jul 20 11:54:00 2026 matrix starts at (0, 0) Mon Jul 20 11:54:02 2026 matrix is 9074164 x 9074340 (3382.1 MB) with weight 1050190259 (115.73/col) Mon Jul 20 11:54:02 2026 sparse part has weight 777711957 (85.70/col) Mon Jul 20 11:54:02 2026 saving the first 240 matrix rows for later Mon Jul 20 11:54:05 2026 matrix includes 256 packed rows Mon Jul 20 11:54:10 2026 matrix is 9073924 x 9074340 (3088.9 MB) with weight 708683772 (78.10/col) Mon Jul 20 11:54:10 2026 sparse part has weight 664542730 (73.23/col) Mon Jul 20 11:54:11 2026 using GPU 0 (NVIDIA GeForce RTX 3080) Mon Jul 20 11:54:11 2026 selected card has CUDA arch 8.6 Mon Jul 20 11:56:43 2026 commencing Lanczos iteration Mon Jul 20 11:56:45 2026 memory use: 7700.9 MB Mon Jul 20 11:57:22 2026 linear algebra at 0.3%, ETA 2h57m Mon Jul 20 11:58:14 2026 checking every 50000 dimensions, checkpointing every 3200000 dimensions Mon Jul 20 14:57:42 2026 lanczos halted after 35553 iterations (dim = 9073920) Mon Jul 20 14:59:03 2026 recovered 27 nontrivial dependencies Mon Jul 20 14:59:03 2026 BLanczosTime: 12688 Mon Jul 20 14:59:03 2026 Mon Jul 20 14:59:03 2026 commencing square root phase Mon Jul 20 14:59:03 2026 handling dependencies 1 to 64 Mon Jul 20 14:59:03 2026 reading relations for dependency 1 Mon Jul 20 14:59:07 2026 read 4536830 cycles Mon Jul 20 14:59:18 2026 cycles contain 13883424 unique relations Mon Jul 20 15:03:42 2026 read 13883424 relations Mon Jul 20 15:08:05 2026 multiplying 13883424 relations Mon Jul 20 15:27:01 2026 multiply complete, coefficients have about 729.16 million bits Mon Jul 20 15:27:07 2026 initial square root is modulo 3480877 Mon Jul 20 15:46:38 2026 sqrtTime: 2855 Mon Jul 20 15:46:38 2026 p83 factor: 61791037251908215086331448596206180596120673283930458928630643275644907897511440163 Mon Jul 20 15:46:38 2026 p86 factor: 29872309702260148030299954836794441807518276726038703665639091975860612074750883758001 Mon Jul 20 15:46:38 2026 elapsed time 06:12:44