Thu May 21 06:24:40 2026 Thu May 21 06:24:40 2026 Thu May 21 06:24:40 2026 Msieve v. 1.54 (SVN unknown) Thu May 21 06:24:40 2026 random seeds: 39ca44d5 21217994 Thu May 21 06:24:40 2026 Using 14 OpenMP threads Thu May 21 06:24:40 2026 factoring 4841674875983832999616866087807143763635330834166047108864431423059975660975754997326544822689049912202857498642000785643636734157270717127631168669347124719891885562320804854411350592687821044402861046377958887634301906020245244193 (232 digits) Thu May 21 06:24:40 2026 no P-1/P+1/ECM available, skipping Thu May 21 06:24:40 2026 commencing number field sieve (232-digit input) Thu May 21 06:24:40 2026 R0: 59465492126971613064018225901578351777027317863730 Thu May 21 06:24:40 2026 R1: -7711387172679868306809223 Thu May 21 06:24:40 2026 A0: 1 Thu May 21 06:24:40 2026 A1: 3 Thu May 21 06:24:40 2026 A2: -3 Thu May 21 06:24:40 2026 A3: -4 Thu May 21 06:24:40 2026 A4: 1 Thu May 21 06:24:40 2026 A5: 1 Thu May 21 06:24:40 2026 skew 1.49, size 6.517e-17, alpha 2.379, combined = 1.531e-13 rroots = 5 Thu May 21 06:24:40 2026 Thu May 21 06:24:40 2026 commencing relation filtering Thu May 21 06:24:40 2026 setting 3 target densities:Thu May 21 06:24:40 2026 80Thu May 21 06:24:40 2026 100Thu May 21 06:24:40 2026 120Thu May 21 06:24:40 2026 Thu May 21 06:24:40 2026 estimated available RAM is 78540.1 MB Thu May 21 06:24:40 2026 commencing duplicate removal, pass 1 Thu May 21 06:24:43 2026 error -1 reading relation 3148000 Thu May 21 06:25:48 2026 error -1 reading relation 56170388 Thu May 21 06:25:48 2026 error -1 reading relation 56545152 Thu May 21 06:25:50 2026 error -1 reading relation 57820441 Thu May 21 06:26:02 2026 error -1 reading relation 69153649 Thu May 21 06:26:22 2026 error -1 reading relation 84216945 Thu May 21 06:35:39 2026 error -1 reading relation 202074559 Thu May 21 06:36:36 2026 error -1 reading relation 213865151 Thu May 21 06:36:41 2026 error -1 reading relation 215045222 Thu May 21 06:36:44 2026 error -1 reading relation 216552043 Thu May 21 06:37:30 2026 error -1 reading relation 239108069 Thu May 21 06:37:57 2026 error -1 reading relation 258206317 Thu May 21 06:37:57 2026 error -1 reading relation 258211973 Thu May 21 06:38:04 2026 error -1 reading relation 262141125 Thu May 21 06:38:24 2026 error -1 reading relation 276055041 Thu May 21 06:38:30 2026 error -1 reading relation 279896821 Thu May 21 06:38:42 2026 error -1 reading relation 287898894 Thu May 21 06:38:46 2026 error -1 reading relation 291557770 Thu May 21 06:39:09 2026 error -1 reading relation 307505162 Thu May 21 06:39:15 2026 error -15 reading relation 312034493 Thu May 21 06:39:15 2026 error -1 reading relation 312037844 Thu May 21 06:39:18 2026 error -1 reading relation 315834425 Thu May 21 06:39:36 2026 error -11 reading relation 328726563 Thu May 21 06:39:39 2026 error -1 reading relation 330959268 Thu May 21 06:39:48 2026 error -15 reading relation 337977563 Thu May 21 06:40:11 2026 skipped 289 relations with b > 2^32 Thu May 21 06:40:11 2026 skipped 258 malformed relations Thu May 21 06:40:11 2026 found 77216082 hash collisions in 352367813 relations Thu May 21 06:40:14 2026 added 2926300 free relations Thu May 21 06:40:14 2026 commencing duplicate removal, pass 2 Thu May 21 06:43:09 2026 found 84808248 duplicates and 270485865 unique relations Thu May 21 06:43:09 2026 memory use: 2643.0 MB Thu May 21 06:43:09 2026 reading ideals above 720000 Thu May 21 06:43:09 2026 commencing singleton removal, initial pass Thu May 21 07:02:50 2026 memory use: 6024.0 MB Thu May 21 07:02:51 2026 reading all ideals from disk Thu May 21 07:04:35 2026 memory use: 12887.1 MB Thu May 21 07:05:19 2026 keeping 247475760 ideals with weight <= 200, target excess is 1352948 Thu May 21 07:05:43 2026 commencing in-memory singleton removal Thu May 21 07:05:47 2026 begin with 270485865 relations and 247475760 unique ideals Thu May 21 07:06:08 2026 reduce to 171194261 relations and 138040337 ideals in 14 passes Thu May 21 07:06:08 2026 max relations containing the same ideal: 158 Thu May 21 07:06:50 2026 removing 11705813 relations and 9705813 ideals in 2000000 cliques Thu May 21 07:06:52 2026 commencing in-memory singleton removal Thu May 21 07:06:54 2026 begin with 159488448 relations and 138040337 unique ideals Thu May 21 07:07:03 2026 reduce to 158870974 relations and 127707525 ideals in 8 passes Thu May 21 07:07:03 2026 max relations containing the same ideal: 151 Thu May 21 07:07:48 2026 removing 8941239 relations and 6941239 ideals in 2000000 cliques Thu May 21 07:07:51 2026 commencing in-memory singleton removal Thu May 21 07:07:51 2026 begin with 149929735 relations and 127707525 unique ideals Thu May 21 07:07:59 2026 reduce to 149519397 relations and 120350406 ideals in 7 passes Thu May 21 07:07:59 2026 max relations containing the same ideal: 146 Thu May 21 07:09:00 2026 removing 8091408 relations and 6091408 ideals in 2000000 cliques Thu May 21 07:09:03 2026 commencing in-memory singleton removal Thu May 21 07:09:04 2026 begin with 141427989 relations and 120350406 unique ideals Thu May 21 07:09:10 2026 reduce to 141069120 relations and 113895364 ideals in 7 passes Thu May 21 07:09:10 2026 max relations containing the same ideal: 141 Thu May 21 07:09:46 2026 removing 7649862 relations and 5649862 ideals in 2000000 cliques Thu May 21 07:09:48 2026 commencing in-memory singleton removal Thu May 21 07:09:50 2026 begin with 133419258 relations and 113895364 unique ideals Thu May 21 07:09:54 2026 reduce to 133082372 relations and 107903935 ideals in 7 passes Thu May 21 07:09:54 2026 max relations containing the same ideal: 135 Thu May 21 07:10:26 2026 removing 7368781 relations and 5368781 ideals in 2000000 cliques Thu May 21 07:10:28 2026 commencing in-memory singleton removal Thu May 21 07:10:30 2026 begin with 125713591 relations and 107903935 unique ideals Thu May 21 07:10:35 2026 reduce to 125385312 relations and 102202286 ideals in 7 passes Thu May 21 07:10:35 2026 max relations containing the same ideal: 130 Thu May 21 07:11:06 2026 removing 7180404 relations and 5180404 ideals in 2000000 cliques Thu May 21 07:11:09 2026 commencing in-memory singleton removal Thu May 21 07:11:10 2026 begin with 118204908 relations and 102202286 unique ideals Thu May 21 07:11:15 2026 reduce to 117879272 relations and 96691500 ideals in 7 passes Thu May 21 07:11:15 2026 max relations containing the same ideal: 124 Thu May 21 07:11:44 2026 removing 7041541 relations and 5041541 ideals in 2000000 cliques Thu May 21 07:11:47 2026 commencing in-memory singleton removal Thu May 21 07:11:48 2026 begin with 110837731 relations and 96691500 unique ideals Thu May 21 07:11:51 2026 reduce to 110509901 relations and 91316973 ideals in 7 passes Thu May 21 07:11:51 2026 max relations containing the same ideal: 119 Thu May 21 07:12:20 2026 removing 6946250 relations and 4946250 ideals in 2000000 cliques Thu May 21 07:12:20 2026 commencing in-memory singleton removal Thu May 21 07:12:21 2026 begin with 103563651 relations and 91316973 unique ideals Thu May 21 07:12:26 2026 reduce to 103228540 relations and 86030159 ideals in 7 passes Thu May 21 07:12:26 2026 max relations containing the same ideal: 112 Thu May 21 07:12:51 2026 removing 6881614 relations and 4881614 ideals in 2000000 cliques Thu May 21 07:12:53 2026 commencing in-memory singleton removal Thu May 21 07:12:54 2026 begin with 96346926 relations and 86030159 unique ideals Thu May 21 07:12:58 2026 reduce to 95998931 relations and 80794292 ideals in 7 passes Thu May 21 07:12:58 2026 max relations containing the same ideal: 107 Thu May 21 07:13:22 2026 removing 6834403 relations and 4834403 ideals in 2000000 cliques Thu May 21 07:13:24 2026 commencing in-memory singleton removal Thu May 21 07:13:25 2026 begin with 89164528 relations and 80794292 unique ideals Thu May 21 07:13:30 2026 reduce to 88799879 relations and 75588537 ideals in 8 passes Thu May 21 07:13:30 2026 max relations containing the same ideal: 102 Thu May 21 07:13:52 2026 removing 6816925 relations and 4816925 ideals in 2000000 cliques Thu May 21 07:13:54 2026 commencing in-memory singleton removal Thu May 21 07:13:54 2026 begin with 81982954 relations and 75588537 unique ideals Thu May 21 07:13:59 2026 reduce to 81596252 relations and 70377111 ideals in 9 passes Thu May 21 07:13:59 2026 max relations containing the same ideal: 98 Thu May 21 07:14:21 2026 removing 6802340 relations and 4802340 ideals in 2000000 cliques Thu May 21 07:14:21 2026 commencing in-memory singleton removal Thu May 21 07:14:22 2026 begin with 74793912 relations and 70377111 unique ideals Thu May 21 07:14:25 2026 reduce to 74377464 relations and 65149275 ideals in 7 passes Thu May 21 07:14:25 2026 max relations containing the same ideal: 90 Thu May 21 07:14:45 2026 removing 6813096 relations and 4813096 ideals in 2000000 cliques Thu May 21 07:14:47 2026 commencing in-memory singleton removal Thu May 21 07:14:47 2026 begin with 67564368 relations and 65149275 unique ideals Thu May 21 07:14:50 2026 reduce to 67111291 relations and 59872599 ideals in 7 passes Thu May 21 07:14:50 2026 max relations containing the same ideal: 85 Thu May 21 07:15:06 2026 removing 6837343 relations and 4837343 ideals in 2000000 cliques Thu May 21 07:15:08 2026 commencing in-memory singleton removal Thu May 21 07:15:09 2026 begin with 60273948 relations and 59872599 unique ideals Thu May 21 07:15:11 2026 reduce to 59768184 relations and 54516344 ideals in 7 passes Thu May 21 07:15:11 2026 max relations containing the same ideal: 80 Thu May 21 07:15:26 2026 removing 6879867 relations and 4879867 ideals in 2000000 cliques Thu May 21 07:15:27 2026 commencing in-memory singleton removal Thu May 21 07:15:28 2026 begin with 52888317 relations and 54516344 unique ideals Thu May 21 07:15:31 2026 reduce to 52310757 relations and 49042269 ideals in 8 passes Thu May 21 07:15:31 2026 max relations containing the same ideal: 70 Thu May 21 07:15:46 2026 removing 6089821 relations and 4390753 ideals in 1699068 cliques Thu May 21 07:15:47 2026 commencing in-memory singleton removal Thu May 21 07:15:47 2026 begin with 46220936 relations and 49042269 unique ideals Thu May 21 07:15:49 2026 reduce to 45696239 relations and 44111796 ideals in 8 passes Thu May 21 07:15:49 2026 max relations containing the same ideal: 64 Thu May 21 07:16:00 2026 removing 114469 relations and 99446 ideals in 15023 cliques Thu May 21 07:16:01 2026 commencing in-memory singleton removal Thu May 21 07:16:01 2026 begin with 45581770 relations and 44111796 unique ideals Thu May 21 07:16:02 2026 reduce to 45581591 relations and 44012171 ideals in 5 passes Thu May 21 07:16:02 2026 max relations containing the same ideal: 64 Thu May 21 07:16:03 2026 trying target density 80 Thu May 21 07:16:06 2026 relations with 0 large ideals: 115558 Thu May 21 07:16:06 2026 relations with 1 large ideals: 39670 Thu May 21 07:16:06 2026 relations with 2 large ideals: 452335 Thu May 21 07:16:06 2026 relations with 3 large ideals: 2401347 Thu May 21 07:16:06 2026 relations with 4 large ideals: 6823733 Thu May 21 07:16:06 2026 relations with 5 large ideals: 11423392 Thu May 21 07:16:06 2026 relations with 6 large ideals: 13118359 Thu May 21 07:16:06 2026 relations with 7+ large ideals: 11207197 Thu May 21 07:16:06 2026 commencing 2-way merge Thu May 21 07:16:37 2026 reduce to 29821290 relation sets and 28251870 unique ideals Thu May 21 07:16:37 2026 commencing full merge Thu May 21 07:22:38 2026 memory use: 3440.8 MB Thu May 21 07:22:41 2026 found 15284044 cycles, need 15072070 Thu May 21 07:22:45 2026 weight of 15072070 cycles is about 1205916335 (80.01/cycle) Thu May 21 07:22:45 2026 distribution of cycle lengths: Thu May 21 07:22:45 2026 1 relations: 1313414 Thu May 21 07:22:45 2026 2 relations: 1513257 Thu May 21 07:22:45 2026 3 relations: 1591344 Thu May 21 07:22:45 2026 4 relations: 1546381 Thu May 21 07:22:45 2026 5 relations: 1487295 Thu May 21 07:22:45 2026 6 relations: 1386983 Thu May 21 07:22:45 2026 7 relations: 1250807 Thu May 21 07:22:45 2026 8 relations: 1097882 Thu May 21 07:22:45 2026 9 relations: 929542 Thu May 21 07:22:45 2026 10+ relations: 2955165 Thu May 21 07:22:45 2026 heaviest cycle: 23 relations Thu May 21 07:22:48 2026 commencing cycle optimization Thu May 21 07:23:08 2026 start with 93204198 relations Thu May 21 07:25:04 2026 pruned 2846684 relations Thu May 21 07:25:05 2026 memory use: 2841.6 MB Thu May 21 07:25:05 2026 distribution of cycle lengths: Thu May 21 07:25:05 2026 1 relations: 1313414 Thu May 21 07:25:06 2026 2 relations: 1542348 Thu May 21 07:25:06 2026 3 relations: 1648213 Thu May 21 07:25:06 2026 4 relations: 1596436 Thu May 21 07:25:06 2026 5 relations: 1544110 Thu May 21 07:25:06 2026 6 relations: 1429629 Thu May 21 07:25:06 2026 7 relations: 1288130 Thu May 21 07:25:06 2026 8 relations: 1116771 Thu May 21 07:25:06 2026 9 relations: 933480 Thu May 21 07:25:06 2026 10+ relations: 2659539 Thu May 21 07:25:06 2026 heaviest cycle: 22 relations Thu May 21 07:25:25 2026 trying target density 100 Thu May 21 07:25:28 2026 relations with 0 large ideals: 115558 Thu May 21 07:25:28 2026 relations with 1 large ideals: 39670 Thu May 21 07:25:28 2026 relations with 2 large ideals: 452335 Thu May 21 07:25:28 2026 relations with 3 large ideals: 2401347 Thu May 21 07:25:28 2026 relations with 4 large ideals: 6823733 Thu May 21 07:25:28 2026 relations with 5 large ideals: 11423392 Thu May 21 07:25:28 2026 relations with 6 large ideals: 13118359 Thu May 21 07:25:28 2026 relations with 7+ large ideals: 11207197 Thu May 21 07:25:28 2026 commencing 2-way merge Thu May 21 07:25:47 2026 reduce to 29821290 relation sets and 28251870 unique ideals Thu May 21 07:25:47 2026 commencing full merge Thu May 21 07:33:24 2026 memory use: 3526.7 MB Thu May 21 07:33:27 2026 found 14143646 cycles, need 13970070 Thu May 21 07:33:31 2026 weight of 13970070 cycles is about 1397384919 (100.03/cycle) Thu May 21 07:33:31 2026 distribution of cycle lengths: Thu May 21 07:33:31 2026 1 relations: 841959 Thu May 21 07:33:31 2026 2 relations: 1030162 Thu May 21 07:33:31 2026 3 relations: 1150358 Thu May 21 07:33:31 2026 4 relations: 1158461 Thu May 21 07:33:31 2026 5 relations: 1156987 Thu May 21 07:33:31 2026 6 relations: 1122487 Thu May 21 07:33:31 2026 7 relations: 1068550 Thu May 21 07:33:31 2026 8 relations: 1001179 Thu May 21 07:33:31 2026 9 relations: 913572 Thu May 21 07:33:31 2026 10+ relations: 4526355 Thu May 21 07:33:31 2026 heaviest cycle: 28 relations Thu May 21 07:33:33 2026 commencing cycle optimization Thu May 21 07:33:56 2026 start with 108403657 relations Thu May 21 07:36:52 2026 pruned 4256987 relations Thu May 21 07:36:52 2026 memory use: 2999.0 MB Thu May 21 07:36:52 2026 distribution of cycle lengths: Thu May 21 07:36:52 2026 1 relations: 841959 Thu May 21 07:36:52 2026 2 relations: 1052242 Thu May 21 07:36:52 2026 3 relations: 1195053 Thu May 21 07:36:52 2026 4 relations: 1202704 Thu May 21 07:36:52 2026 5 relations: 1210182 Thu May 21 07:36:52 2026 6 relations: 1170029 Thu May 21 07:36:52 2026 7 relations: 1117154 Thu May 21 07:36:52 2026 8 relations: 1039581 Thu May 21 07:36:52 2026 9 relations: 943783 Thu May 21 07:36:52 2026 10+ relations: 4197383 Thu May 21 07:36:52 2026 heaviest cycle: 28 relations Thu May 21 07:37:11 2026 trying target density 120 Thu May 21 07:37:14 2026 relations with 0 large ideals: 115558 Thu May 21 07:37:14 2026 relations with 1 large ideals: 39670 Thu May 21 07:37:14 2026 relations with 2 large ideals: 452335 Thu May 21 07:37:14 2026 relations with 3 large ideals: 2401347 Thu May 21 07:37:14 2026 relations with 4 large ideals: 6823733 Thu May 21 07:37:14 2026 relations with 5 large ideals: 11423392 Thu May 21 07:37:14 2026 relations with 6 large ideals: 13118359 Thu May 21 07:37:14 2026 relations with 7+ large ideals: 11207197 Thu May 21 07:37:14 2026 commencing 2-way merge Thu May 21 07:37:31 2026 reduce to 29821290 relation sets and 28251870 unique ideals Thu May 21 07:37:31 2026 commencing full merge Thu May 21 07:46:33 2026 memory use: 3564.1 MB Thu May 21 07:46:35 2026 found 13239958 cycles, need 13190070 Thu May 21 07:46:39 2026 weight of 13190070 cycles is about 1582937346 (120.01/cycle) Thu May 21 07:46:39 2026 distribution of cycle lengths: Thu May 21 07:46:39 2026 1 relations: 583267 Thu May 21 07:46:39 2026 2 relations: 755149 Thu May 21 07:46:39 2026 3 relations: 873973 Thu May 21 07:46:39 2026 4 relations: 902321 Thu May 21 07:46:39 2026 5 relations: 922069 Thu May 21 07:46:39 2026 6 relations: 911450 Thu May 21 07:46:39 2026 7 relations: 895052 Thu May 21 07:46:39 2026 8 relations: 863338 Thu May 21 07:46:39 2026 9 relations: 819206 Thu May 21 07:46:39 2026 10+ relations: 5664245 Thu May 21 07:46:39 2026 heaviest cycle: 28 relations Thu May 21 07:46:42 2026 commencing cycle optimization Thu May 21 07:47:04 2026 start with 122850187 relations Thu May 21 07:50:51 2026 pruned 5747683 relations Thu May 21 07:50:51 2026 memory use: 3143.2 MB Thu May 21 07:50:51 2026 distribution of cycle lengths: Thu May 21 07:50:51 2026 1 relations: 583267 Thu May 21 07:50:51 2026 2 relations: 772365 Thu May 21 07:50:51 2026 3 relations: 909269 Thu May 21 07:50:51 2026 4 relations: 939999 Thu May 21 07:50:51 2026 5 relations: 968300 Thu May 21 07:50:51 2026 6 relations: 956027 Thu May 21 07:50:51 2026 7 relations: 943719 Thu May 21 07:50:51 2026 8 relations: 907097 Thu May 21 07:50:51 2026 9 relations: 860604 Thu May 21 07:50:51 2026 10+ relations: 5349423 Thu May 21 07:50:51 2026 heaviest cycle: 28 relations Thu May 21 07:51:11 2026 RelProcTime: 5191 Thu May 21 07:51:13 2026 Thu May 21 07:51:13 2026 commencing linear algebra Thu May 21 07:51:13 2026 using VBITS=256 Thu May 21 07:51:13 2026 building matrices for all densities Thu May 21 07:51:13 2026 found 3 density files Thu May 21 07:51:13 2026 building matrix for density 80 Thu May 21 07:51:17 2026 read 15072070 cycles Thu May 21 07:51:35 2026 cycles contain 44683418 unique relations Thu May 21 07:57:13 2026 read 44683418 relations Thu May 21 07:57:19 2026 using 20 quadratic characters above 4294917295 Thu May 21 07:57:30 2026 building initial matrix Thu May 21 08:03:25 2026 memory use: 5538.3 MB Thu May 21 08:03:35 2026 read 15072070 cycles Thu May 21 08:03:37 2026 matrix is 15071891 x 15072070 (5059.4 MB) with weight 1450282295 (96.22/col) Thu May 21 08:03:37 2026 sparse part has weight 1160505027 (77.00/col) Thu May 21 08:05:16 2026 filtering completed in 2 passes Thu May 21 08:05:19 2026 matrix is 15067670 x 15067834 (5059.1 MB) with weight 1450157558 (96.24/col) Thu May 21 08:05:19 2026 sparse part has weight 1160457955 (77.02/col) Thu May 21 08:05:46 2026 building matrix for density 100 Thu May 21 08:05:47 2026 read 13970070 cycles Thu May 21 08:06:11 2026 cycles contain 44701746 unique relations Thu May 21 08:07:15 2026 read 44701746 relations Thu May 21 08:07:23 2026 using 20 quadratic characters above 4294917295 Thu May 21 08:07:33 2026 building initial matrix Thu May 21 08:14:08 2026 memory use: 5559.2 MB Thu May 21 08:14:13 2026 read 13970070 cycles Thu May 21 08:14:15 2026 matrix is 13969893 x 13970070 (5641.9 MB) with weight 1610169755 (115.26/col) Thu May 21 08:14:15 2026 sparse part has weight 1325316284 (94.87/col) Thu May 21 08:15:56 2026 filtering completed in 2 passes Thu May 21 08:15:59 2026 matrix is 13968049 x 13968210 (5641.7 MB) with weight 1610105431 (115.27/col) Thu May 21 08:15:59 2026 sparse part has weight 1325289404 (94.88/col) Thu May 21 08:16:24 2026 building matrix for density 120 Thu May 21 08:16:29 2026 read 13190070 cycles Thu May 21 08:16:45 2026 cycles contain 44706887 unique relations Thu May 21 08:17:19 2026 read 44706887 relations Thu May 21 08:17:27 2026 using 20 quadratic characters above 4294917295 Thu May 21 08:17:38 2026 building initial matrix Thu May 21 08:24:26 2026 memory use: 5553.4 MB Thu May 21 08:24:32 2026 read 13190070 cycles Thu May 21 08:24:34 2026 matrix is 13189893 x 13190070 (6203.1 MB) with weight 1762830567 (133.65/col) Thu May 21 08:24:34 2026 sparse part has weight 1481013217 (112.28/col) Thu May 21 08:26:10 2026 filtering completed in 2 passes Thu May 21 08:26:11 2026 matrix is 13189522 x 13189684 (6203.1 MB) with weight 1762816595 (133.65/col) Thu May 21 08:26:11 2026 sparse part has weight 1481007502 (112.29/col) Thu May 21 08:26:37 2026 BLanczosTime: 2124 Thu May 21 08:26:37 2026 elapsed time 02:01:57 Thu May 21 09:11:25 2026 Thu May 21 09:11:25 2026 Thu May 21 09:11:25 2026 Msieve v. 1.54 (SVN unknown) Thu May 21 09:11:25 2026 random seeds: 75cbe216 6bc0b6aa Thu May 21 09:11:25 2026 factoring 4841674875983832999616866087807143763635330834166047108864431423059975660975754997326544822689049912202857498642000785643636734157270717127631168669347124719891885562320804854411350592687821044402861046377958887634301906020245244193 (232 digits) Thu May 21 09:11:26 2026 no P-1/P+1/ECM available, skipping Thu May 21 09:11:26 2026 commencing number field sieve (232-digit input) Thu May 21 09:11:26 2026 R0: 59465492126971613064018225901578351777027317863730 Thu May 21 09:11:26 2026 R1: -7711387172679868306809223 Thu May 21 09:11:26 2026 A0: 1 Thu May 21 09:11:26 2026 A1: 3 Thu May 21 09:11:26 2026 A2: -3 Thu May 21 09:11:26 2026 A3: -4 Thu May 21 09:11:26 2026 A4: 1 Thu May 21 09:11:26 2026 A5: 1 Thu May 21 09:11:26 2026 skew 1.49, size 6.517e-17, alpha 2.379, combined = 1.531e-13 rroots = 5 Thu May 21 09:11:26 2026 Thu May 21 09:11:26 2026 commencing linear algebra Thu May 21 09:11:26 2026 using VBITS=256 Thu May 21 09:11:26 2026 skipping matrix build Thu May 21 09:11:58 2026 matrix starts at (0, 0) Thu May 21 09:12:02 2026 matrix is 13189522 x 13189684 (6203.1 MB) with weight 1762816595 (133.65/col) Thu May 21 09:12:02 2026 sparse part has weight 1481007502 (112.29/col) Thu May 21 09:12:02 2026 saving the first 240 matrix rows for later Thu May 21 09:12:06 2026 matrix includes 256 packed rows Thu May 21 09:12:11 2026 matrix is 13189282 x 13189684 (5705.8 MB) with weight 1353396211 (102.61/col) Thu May 21 09:12:11 2026 sparse part has weight 1284698507 (97.40/col) Thu May 21 09:12:11 2026 using GPU 0 (NVIDIA GeForce RTX 5060 Ti) Thu May 21 09:12:11 2026 selected card has CUDA arch 12.0 Thu May 21 09:22:10 2026 commencing Lanczos iteration Thu May 21 09:22:10 2026 memory use: 13122.2 MB Thu May 21 09:23:24 2026 linear algebra at 0.2%, ETA 8h35m Thu May 21 09:25:11 2026 checking every 20000 dimensions, checkpointing every 1560000 dimensions Thu May 21 17:52:39 2026 lanczos halted after 51675 iterations (dim = 13189278) Thu May 21 17:53:35 2026 recovered 33 nontrivial dependencies Thu May 21 17:53:36 2026 BLanczosTime: 31330 Thu May 21 17:53:36 2026 elapsed time 08:42:11 Thu May 21 18:57:57 2026 Thu May 21 18:57:57 2026 Thu May 21 18:57:57 2026 Msieve v. 1.54 (SVN unknown) Thu May 21 18:57:57 2026 random seeds: 8090a7e7 2c34d546 Thu May 21 18:57:57 2026 Using 8 OpenMP threads Thu May 21 18:57:57 2026 factoring 4841674875983832999616866087807143763635330834166047108864431423059975660975754997326544822689049912202857498642000785643636734157270717127631168669347124719891885562320804854411350592687821044402861046377958887634301906020245244193 (232 digits) Thu May 21 18:57:58 2026 no P-1/P+1/ECM available, skipping Thu May 21 18:57:58 2026 commencing number field sieve (232-digit input) Thu May 21 18:57:58 2026 R0: 59465492126971613064018225901578351777027317863730 Thu May 21 18:57:58 2026 R1: -7711387172679868306809223 Thu May 21 18:57:58 2026 A0: 1 Thu May 21 18:57:58 2026 A1: 3 Thu May 21 18:57:58 2026 A2: -3 Thu May 21 18:57:58 2026 A3: -4 Thu May 21 18:57:58 2026 A4: 1 Thu May 21 18:57:58 2026 A5: 1 Thu May 21 18:57:58 2026 skew 1.49, size 6.517e-17, alpha 2.379, combined = 1.531e-13 rroots = 5 Thu May 21 18:57:58 2026 Thu May 21 18:57:58 2026 commencing square root phase Thu May 21 18:57:58 2026 reading relations for dependency 1 Thu May 21 18:58:04 2026 read 6595402 cycles Thu May 21 18:58:27 2026 cycles contain 22359116 unique relations Thu May 21 19:08:32 2026 read 22359116 relations Thu May 21 19:10:47 2026 multiplying 22359116 relations Thu May 21 19:12:18 2026 multiply complete, coefficients have about 568.53 million bits Thu May 21 19:12:19 2026 initial square root is modulo 126079 Thu May 21 19:15:48 2026 GCD is N, no factor found Thu May 21 19:15:48 2026 reading relations for dependency 2 Thu May 21 19:15:50 2026 read 6592537 cycles Thu May 21 19:16:09 2026 cycles contain 22346336 unique relations Thu May 21 19:20:10 2026 read 22346336 relations Thu May 21 19:22:08 2026 multiplying 22346336 relations Thu May 21 19:23:40 2026 multiply complete, coefficients have about 568.21 million bits Thu May 21 19:23:42 2026 initial square root is modulo 125243 Thu May 21 19:27:16 2026 GCD is N, no factor found Thu May 21 19:27:16 2026 reading relations for dependency 3 Thu May 21 19:27:17 2026 read 6594319 cycles Thu May 21 19:27:36 2026 cycles contain 22355640 unique relations Thu May 21 19:28:36 2026 read 22355640 relations Thu May 21 19:30:23 2026 multiplying 22355640 relations Thu May 21 19:31:51 2026 multiply complete, coefficients have about 568.44 million bits Thu May 21 19:31:52 2026 initial square root is modulo 125887 Thu May 21 19:35:24 2026 GCD is N, no factor found Thu May 21 19:35:24 2026 reading relations for dependency 4 Thu May 21 19:35:25 2026 read 6591580 cycles Thu May 21 19:35:41 2026 cycles contain 22348214 unique relations Thu May 21 19:36:35 2026 read 22348214 relations Thu May 21 19:38:25 2026 multiplying 22348214 relations Thu May 21 19:39:55 2026 multiply complete, coefficients have about 568.25 million bits Thu May 21 19:39:56 2026 initial square root is modulo 125353 Thu May 21 19:43:35 2026 GCD is 1, no factor found Thu May 21 19:43:35 2026 reading relations for dependency 5 Thu May 21 19:43:36 2026 read 6597734 cycles Thu May 21 19:43:55 2026 cycles contain 22361344 unique relations Thu May 21 19:44:58 2026 read 22361344 relations Thu May 21 19:46:45 2026 multiplying 22361344 relations Thu May 21 19:48:12 2026 multiply complete, coefficients have about 568.58 million bits Thu May 21 19:48:14 2026 initial square root is modulo 126211 Thu May 21 19:51:47 2026 sqrtTime: 3229 Thu May 21 19:51:47 2026 p101 factor: 14908559486566540577235881336398102153850765637917435494464723605707623759773839261181547138898679563 Thu May 21 19:51:47 2026 p132 factor: 324758061323527416489970942326261571072420565293690263412879476363630563173336461079025257887655900699643935300168774219857557163011 Thu May 21 19:51:47 2026 elapsed time 00:53:50