Thu Apr 2 12:01:25 2026 Msieve v. 1.54 (SVN 573b9ef) Thu Apr 2 12:01:25 2026 random seeds: 0914ae4d f10afda3 Thu Apr 2 12:01:25 2026 Using 32 OpenMP threads Thu Apr 2 12:01:25 2026 factoring 97329408589822154482678946251529733485755933340268885218363384368049244205280216582153614559664300480188430208095549393615179361528959859005426981041944699480615146127493028550005933 (182 digits) Thu Apr 2 12:01:26 2026 no P-1/P+1/ECM available, skipping Thu Apr 2 12:01:26 2026 commencing number field sieve (182-digit input) Thu Apr 2 12:01:26 2026 R0: -180322661540217934236816095499668833 Thu Apr 2 12:01:26 2026 R1: 56375079656555138615639 Thu Apr 2 12:01:26 2026 A0: -1922791098080009493878922765268775717280 Thu Apr 2 12:01:26 2026 A1: -414816580657821162991542058606276 Thu Apr 2 12:01:26 2026 A2: 7866057131537845369044884867 Thu Apr 2 12:01:26 2026 A3: 2709176731760784521151 Thu Apr 2 12:01:26 2026 A4: -2466343980612232 Thu Apr 2 12:01:26 2026 A5: 28588560 Thu Apr 2 12:01:26 2026 skew 1.00, size 9.798e-18, alpha -6.822, combined = 7.704e-16 rroots = 5 Thu Apr 2 12:01:26 2026 Thu Apr 2 12:01:26 2026 commencing relation filtering Thu Apr 2 12:01:26 2026 setting target matrix density to 105.0 Thu Apr 2 12:01:26 2026 estimated available RAM is 128740.1 MB Thu Apr 2 12:01:26 2026 commencing duplicate removal, pass 1 Thu Apr 2 12:02:38 2026 error -11 reading relation 127558260 Thu Apr 2 12:03:25 2026 skipped 1 malformed relations Thu Apr 2 12:03:25 2026 found 9231326 hash collisions in 205481193 relations Thu Apr 2 12:03:38 2026 added 121779 free relations Thu Apr 2 12:03:38 2026 commencing duplicate removal, pass 2 Thu Apr 2 12:04:08 2026 found 0 duplicates and 205602972 unique relations Thu Apr 2 12:04:08 2026 memory use: 554.4 MB Thu Apr 2 12:04:08 2026 reading ideals above 720000 Thu Apr 2 12:04:09 2026 commencing singleton removal, initial pass Thu Apr 2 12:09:33 2026 memory use: 5512.0 MB Thu Apr 2 12:09:33 2026 reading all ideals from disk Thu Apr 2 12:09:34 2026 memory use: 10055.8 MB Thu Apr 2 12:09:43 2026 keeping 186051952 ideals with weight <= 200, target excess is 1095143 Thu Apr 2 12:09:53 2026 commencing in-memory singleton removal Thu Apr 2 12:09:56 2026 begin with 205602972 relations and 186051952 unique ideals Thu Apr 2 12:10:17 2026 reduce to 158204381 relations and 136379516 ideals in 16 passes Thu Apr 2 12:10:17 2026 max relations containing the same ideal: 178 Thu Apr 2 12:10:45 2026 removing 12938923 relations and 10938923 ideals in 2000000 cliques Thu Apr 2 12:10:48 2026 commencing in-memory singleton removal Thu Apr 2 12:10:50 2026 begin with 145265458 relations and 136379516 unique ideals Thu Apr 2 12:11:00 2026 reduce to 144419840 relations and 124580973 ideals in 9 passes Thu Apr 2 12:11:00 2026 max relations containing the same ideal: 170 Thu Apr 2 12:11:25 2026 removing 9886271 relations and 7886271 ideals in 2000000 cliques Thu Apr 2 12:11:28 2026 commencing in-memory singleton removal Thu Apr 2 12:11:30 2026 begin with 134533569 relations and 124580973 unique ideals Thu Apr 2 12:11:38 2026 reduce to 133972362 relations and 116125417 ideals in 8 passes Thu Apr 2 12:11:38 2026 max relations containing the same ideal: 163 Thu Apr 2 12:12:02 2026 removing 8963792 relations and 6963792 ideals in 2000000 cliques Thu Apr 2 12:12:04 2026 commencing in-memory singleton removal Thu Apr 2 12:12:06 2026 begin with 125008570 relations and 116125417 unique ideals Thu Apr 2 12:12:14 2026 reduce to 124504554 relations and 108650448 ideals in 8 passes Thu Apr 2 12:12:14 2026 max relations containing the same ideal: 154 Thu Apr 2 12:12:36 2026 removing 8499647 relations and 6499647 ideals in 2000000 cliques Thu Apr 2 12:12:38 2026 commencing in-memory singleton removal Thu Apr 2 12:12:40 2026 begin with 116004907 relations and 108650448 unique ideals Thu Apr 2 12:12:47 2026 reduce to 115517890 relations and 101656610 ideals in 8 passes Thu Apr 2 12:12:47 2026 max relations containing the same ideal: 146 Thu Apr 2 12:13:08 2026 removing 8234747 relations and 6234747 ideals in 2000000 cliques Thu Apr 2 12:13:10 2026 commencing in-memory singleton removal Thu Apr 2 12:13:11 2026 begin with 107283143 relations and 101656610 unique ideals Thu Apr 2 12:13:17 2026 reduce to 106791355 relations and 94922511 ideals in 7 passes Thu Apr 2 12:13:17 2026 max relations containing the same ideal: 137 Thu Apr 2 12:13:36 2026 removing 8075955 relations and 6075955 ideals in 2000000 cliques Thu Apr 2 12:13:38 2026 commencing in-memory singleton removal Thu Apr 2 12:13:40 2026 begin with 98715400 relations and 94922511 unique ideals Thu Apr 2 12:13:46 2026 reduce to 98205003 relations and 88327811 ideals in 8 passes Thu Apr 2 12:13:46 2026 max relations containing the same ideal: 131 Thu Apr 2 12:14:04 2026 removing 8000718 relations and 6000718 ideals in 2000000 cliques Thu Apr 2 12:14:06 2026 commencing in-memory singleton removal Thu Apr 2 12:14:07 2026 begin with 90204285 relations and 88327811 unique ideals Thu Apr 2 12:14:12 2026 reduce to 89664012 relations and 81777269 ideals in 8 passes Thu Apr 2 12:14:12 2026 max relations containing the same ideal: 122 Thu Apr 2 12:14:29 2026 removing 7977044 relations and 5977044 ideals in 2000000 cliques Thu Apr 2 12:14:31 2026 commencing in-memory singleton removal Thu Apr 2 12:14:32 2026 begin with 81686968 relations and 81777269 unique ideals Thu Apr 2 12:14:37 2026 reduce to 81097334 relations and 75199287 ideals in 8 passes Thu Apr 2 12:14:37 2026 max relations containing the same ideal: 117 Thu Apr 2 12:14:53 2026 removing 8016279 relations and 6016279 ideals in 2000000 cliques Thu Apr 2 12:14:54 2026 commencing in-memory singleton removal Thu Apr 2 12:14:55 2026 begin with 73081055 relations and 75199287 unique ideals Thu Apr 2 12:15:00 2026 reduce to 72420262 relations and 68508045 ideals in 8 passes Thu Apr 2 12:15:00 2026 max relations containing the same ideal: 108 Thu Apr 2 12:15:14 2026 removing 8099884 relations and 6099884 ideals in 2000000 cliques Thu Apr 2 12:15:16 2026 commencing in-memory singleton removal Thu Apr 2 12:15:16 2026 begin with 64320378 relations and 68508045 unique ideals Thu Apr 2 12:15:20 2026 reduce to 63554762 relations and 61624637 ideals in 9 passes Thu Apr 2 12:15:20 2026 max relations containing the same ideal: 99 Thu Apr 2 12:15:33 2026 removing 3447738 relations and 2787979 ideals in 659759 cliques Thu Apr 2 12:15:35 2026 commencing in-memory singleton removal Thu Apr 2 12:15:35 2026 begin with 60107024 relations and 61624637 unique ideals Thu Apr 2 12:15:38 2026 reduce to 59966882 relations and 58695229 ideals in 7 passes Thu Apr 2 12:15:38 2026 max relations containing the same ideal: 93 Thu Apr 2 12:15:55 2026 relations with 0 large ideals: 4043 Thu Apr 2 12:15:55 2026 relations with 1 large ideals: 13299 Thu Apr 2 12:15:55 2026 relations with 2 large ideals: 210186 Thu Apr 2 12:15:55 2026 relations with 3 large ideals: 1434263 Thu Apr 2 12:15:55 2026 relations with 4 large ideals: 5324074 Thu Apr 2 12:15:55 2026 relations with 5 large ideals: 11792365 Thu Apr 2 12:15:55 2026 relations with 6 large ideals: 16353506 Thu Apr 2 12:15:55 2026 relations with 7+ large ideals: 24835146 Thu Apr 2 12:15:55 2026 commencing 2-way merge Thu Apr 2 12:16:13 2026 reduce to 37434733 relation sets and 36163080 unique ideals Thu Apr 2 12:16:13 2026 commencing full merge Thu Apr 2 12:22:24 2026 memory use: 4342.6 MB Thu Apr 2 12:22:26 2026 found 17455383 cycles, need 17307280 Thu Apr 2 12:22:30 2026 weight of 17307280 cycles is about 1817501361 (105.01/cycle) Thu Apr 2 12:22:30 2026 distribution of cycle lengths: Thu Apr 2 12:22:30 2026 1 relations: 1442448 Thu Apr 2 12:22:30 2026 2 relations: 1434293 Thu Apr 2 12:22:30 2026 3 relations: 1483195 Thu Apr 2 12:22:30 2026 4 relations: 1455764 Thu Apr 2 12:22:30 2026 5 relations: 1432053 Thu Apr 2 12:22:30 2026 6 relations: 1343383 Thu Apr 2 12:22:30 2026 7 relations: 1290978 Thu Apr 2 12:22:30 2026 8 relations: 1188780 Thu Apr 2 12:22:30 2026 9 relations: 1076781 Thu Apr 2 12:22:30 2026 10+ relations: 5159605 Thu Apr 2 12:22:30 2026 heaviest cycle: 25 relations Thu Apr 2 12:22:33 2026 commencing cycle optimization Thu Apr 2 12:22:52 2026 start with 127034594 relations Thu Apr 2 12:24:49 2026 pruned 4405364 relations Thu Apr 2 12:24:50 2026 memory use: 3760.4 MB Thu Apr 2 12:24:50 2026 distribution of cycle lengths: Thu Apr 2 12:24:50 2026 1 relations: 1442448 Thu Apr 2 12:24:50 2026 2 relations: 1470966 Thu Apr 2 12:24:50 2026 3 relations: 1542441 Thu Apr 2 12:24:50 2026 4 relations: 1505790 Thu Apr 2 12:24:50 2026 5 relations: 1486983 Thu Apr 2 12:24:50 2026 6 relations: 1391032 Thu Apr 2 12:24:50 2026 7 relations: 1335371 Thu Apr 2 12:24:50 2026 8 relations: 1219858 Thu Apr 2 12:24:50 2026 9 relations: 1102116 Thu Apr 2 12:24:50 2026 10+ relations: 4810275 Thu Apr 2 12:24:50 2026 heaviest cycle: 25 relations Thu Apr 2 12:25:06 2026 RelProcTime: 1420 Thu Apr 2 12:25:08 2026 elapsed time 00:23:43 Thu Apr 2 12:25:15 2026 Thu Apr 2 12:25:15 2026 Thu Apr 2 12:25:15 2026 Msieve v. 1.54 (SVN 573b9ef) Thu Apr 2 12:25:15 2026 random seeds: cdb7fdb0 679de01f Thu Apr 2 12:25:15 2026 MPI process 0 of 2 Thu Apr 2 12:25:15 2026 Using 8 OpenMP threads Thu Apr 2 12:25:15 2026 factoring 97329408589822154482678946251529733485755933340268885218363384368049244205280216582153614559664300480188430208095549393615179361528959859005426981041944699480615146127493028550005933 (182 digits) Thu Apr 2 12:25:16 2026 no P-1/P+1/ECM available, skipping Thu Apr 2 12:25:16 2026 commencing number field sieve (182-digit input) Thu Apr 2 12:25:16 2026 R0: -180322661540217934236816095499668833 Thu Apr 2 12:25:16 2026 R1: 56375079656555138615639 Thu Apr 2 12:25:16 2026 A0: -1922791098080009493878922765268775717280 Thu Apr 2 12:25:16 2026 A1: -414816580657821162991542058606276 Thu Apr 2 12:25:16 2026 A2: 7866057131537845369044884867 Thu Apr 2 12:25:16 2026 A3: 2709176731760784521151 Thu Apr 2 12:25:16 2026 A4: -2466343980612232 Thu Apr 2 12:25:16 2026 A5: 28588560 Thu Apr 2 12:25:16 2026 skew 1.00, size 9.798e-18, alpha -6.822, combined = 7.704e-16 rroots = 5 Thu Apr 2 12:25:16 2026 Thu Apr 2 12:25:16 2026 commencing linear algebra Thu Apr 2 12:25:16 2026 using VBITS=256 Thu Apr 2 12:25:16 2026 initialized process (0,0) of 1 x 2 grid Thu Apr 2 12:25:17 2026 read 17307280 cycles Thu Apr 2 12:25:35 2026 cycles contain 59161426 unique relations Thu Apr 2 12:26:04 2026 read 59161426 relations Thu Apr 2 12:26:15 2026 using 20 quadratic characters above 4294917295 Thu Apr 2 12:26:32 2026 building initial matrix Thu Apr 2 12:32:33 2026 memory use: 8172.6 MB Thu Apr 2 12:32:40 2026 read 17307280 cycles Thu Apr 2 12:32:42 2026 matrix is 17307103 x 17307280 (7313.7 MB) with weight 2244343157 (129.68/col) Thu Apr 2 12:32:42 2026 sparse part has weight 1726869611 (99.78/col) Thu Apr 2 12:34:10 2026 filtering completed in 2 passes Thu Apr 2 12:34:12 2026 matrix is 17304737 x 17304914 (7313.5 MB) with weight 2244240132 (129.69/col) Thu Apr 2 12:34:12 2026 sparse part has weight 1726840063 (99.79/col) Thu Apr 2 12:34:35 2026 matrix starts at (0, 0) Thu Apr 2 12:34:36 2026 matrix is 17304737 x 8652485 (3656.8 MB) with weight 1122114892 (129.69/col) Thu Apr 2 12:34:36 2026 sparse part has weight 863420151 (99.79/col) Thu Apr 2 12:34:36 2026 saving the first 240 matrix rows for later Thu Apr 2 12:34:37 2026 matrix includes 256 packed rows Thu Apr 2 12:34:40 2026 matrix is 17304497 x 8652485 (3374.9 MB) with weight 790124509 (91.32/col) Thu Apr 2 12:34:40 2026 sparse part has weight 746273588 (86.25/col) Thu Apr 2 12:34:40 2026 using GPU 0 (NVIDIA GeForce RTX 3090 Ti) Thu Apr 2 12:34:40 2026 selected card has CUDA arch 8.6 Thu Apr 2 12:35:08 2026 commencing Lanczos iteration Thu Apr 2 12:35:09 2026 memory use: 8697.2 MB Thu Apr 2 12:35:43 2026 linear algebra at 0.2%, ETA 5h10m Thu Apr 2 12:36:32 2026 checking every 50000 dimensions, checkpointing every 3400000 dimensions Thu Apr 2 17:42:50 2026 lanczos halted after 67800 iterations (dim = 17304496) Thu Apr 2 17:43:46 2026 recovered 30 nontrivial dependencies Thu Apr 2 17:43:46 2026 BLanczosTime: 19110 Thu Apr 2 17:43:46 2026 elapsed time 05:18:31 Thu Apr 2 18:21:25 2026 Thu Apr 2 18:21:25 2026 Thu Apr 2 18:21:25 2026 Msieve v. 1.54 (SVN 573b9ef) Thu Apr 2 18:21:25 2026 random seeds: 6a685162 10d6a7bb Thu Apr 2 18:21:25 2026 Using 32 OpenMP threads Thu Apr 2 18:21:25 2026 factoring 97329408589822154482678946251529733485755933340268885218363384368049244205280216582153614559664300480188430208095549393615179361528959859005426981041944699480615146127493028550005933 (182 digits) Thu Apr 2 18:21:25 2026 no P-1/P+1/ECM available, skipping Thu Apr 2 18:21:25 2026 commencing number field sieve (182-digit input) Thu Apr 2 18:21:25 2026 R0: -180322661540217934236816095499668833 Thu Apr 2 18:21:25 2026 R1: 56375079656555138615639 Thu Apr 2 18:21:25 2026 A0: -1922791098080009493878922765268775717280 Thu Apr 2 18:21:25 2026 A1: -414816580657821162991542058606276 Thu Apr 2 18:21:25 2026 A2: 7866057131537845369044884867 Thu Apr 2 18:21:25 2026 A3: 2709176731760784521151 Thu Apr 2 18:21:25 2026 A4: -2466343980612232 Thu Apr 2 18:21:25 2026 A5: 28588560 Thu Apr 2 18:21:25 2026 skew 1.00, size 9.798e-18, alpha -6.822, combined = 7.704e-16 rroots = 5 Thu Apr 2 18:21:25 2026 Thu Apr 2 18:21:25 2026 commencing square root phase Thu Apr 2 18:21:25 2026 reading relations for dependency 1 Thu Apr 2 18:21:26 2026 read 8649640 cycles Thu Apr 2 18:21:35 2026 cycles contain 29574254 unique relations Thu Apr 2 18:21:52 2026 read 29574254 relations Thu Apr 2 18:23:02 2026 multiplying 29574254 relations Thu Apr 2 18:25:53 2026 multiply complete, coefficients have about 1949.53 million bits Thu Apr 2 18:25:55 2026 initial square root is modulo 555982517 Thu Apr 2 18:32:37 2026 sqrtTime: 672 Thu Apr 2 18:32:37 2026 p68 factor: 43288539674791287925515831425159022475172032405289474021756066581133 Thu Apr 2 18:32:37 2026 p115 factor: 2248387432817492476154461990608717299602707034891242301527942612667434490214463896053226238512853304541432496765601 Thu Apr 2 18:32:37 2026 elapsed time 00:11:12