Wed Mar 11 23:42:30 2026 Wed Mar 11 23:42:30 2026 Wed Mar 11 23:42:30 2026 Msieve v. 1.54 (SVN unknown) Wed Mar 11 23:42:30 2026 random seeds: c4069420 831732f6 Wed Mar 11 23:42:30 2026 factoring 55455426586156989568282919841654229894483464325316348876476847659918686588631137120131138658996899792931568352225256617692663557949460125994726720484732469576052472298363 (170 digits) Wed Mar 11 23:42:31 2026 no P-1/P+1/ECM available, skipping Wed Mar 11 23:42:31 2026 commencing number field sieve (170-digit input) Wed Mar 11 23:42:31 2026 R0: -650798331502917191816723732949035 Wed Mar 11 23:42:31 2026 R1: 22944251950045883 Wed Mar 11 23:42:31 2026 A0: 209810811728670453745369521059519478186 Wed Mar 11 23:42:31 2026 A1: 90996710540715262677884153842129 Wed Mar 11 23:42:31 2026 A2: -344521924456955456440805574 Wed Mar 11 23:42:31 2026 A3: -15985727718104330046 Wed Mar 11 23:42:31 2026 A4: 28410065866270 Wed Mar 11 23:42:31 2026 A5: 475020 Wed Mar 11 23:42:31 2026 skew 3694620.36, size 1.491e-16, alpha -5.628, combined = 3.690e-13 rroots = 5 Wed Mar 11 23:42:31 2026 Wed Mar 11 23:42:31 2026 commencing relation filtering Wed Mar 11 23:42:31 2026 setting target matrix density to 75.0 Wed Mar 11 23:42:31 2026 estimated available RAM is 128741.5 MB Wed Mar 11 23:42:31 2026 commencing duplicate removal, pass 1 Thu Mar 12 00:28:26 2026 skipped 1 relations with composite factors Thu Mar 12 00:28:26 2026 found 11352438 hash collisions in 228662836 relations Thu Mar 12 00:29:10 2026 added 121468 free relations Thu Mar 12 00:29:10 2026 commencing duplicate removal, pass 2 Thu Mar 12 00:32:02 2026 found 0 duplicates and 228784304 unique relations Thu Mar 12 00:32:02 2026 memory use: 788.8 MB Thu Mar 12 00:32:02 2026 reading ideals above 720000 Thu Mar 12 00:32:02 2026 commencing singleton removal, initial pass Thu Mar 12 01:40:44 2026 memory use: 6024.0 MB Thu Mar 12 01:40:45 2026 reading all ideals from disk Thu Mar 12 01:41:40 2026 memory use: 10679.6 MB Thu Mar 12 01:42:41 2026 keeping 231966504 ideals with weight <= 200, target excess is 1145450 Thu Mar 12 01:43:47 2026 commencing in-memory singleton removal Thu Mar 12 01:45:18 2026 begin with 228784304 relations and 231966504 unique ideals Thu Mar 12 01:51:03 2026 reduce to 114602882 relations and 102517947 ideals in 19 passes Thu Mar 12 01:51:03 2026 max relations containing the same ideal: 133 Thu Mar 12 01:53:01 2026 removing 14089737 relations and 12089737 ideals in 2000000 cliques Thu Mar 12 01:53:11 2026 commencing in-memory singleton removal Thu Mar 12 01:53:44 2026 begin with 100513145 relations and 102517947 unique ideals Thu Mar 12 01:55:34 2026 reduce to 99054094 relations and 88934959 ideals in 10 passes Thu Mar 12 01:55:34 2026 max relations containing the same ideal: 123 Thu Mar 12 01:57:12 2026 removing 10748607 relations and 8748607 ideals in 2000000 cliques Thu Mar 12 01:57:18 2026 commencing in-memory singleton removal Thu Mar 12 01:57:46 2026 begin with 88305487 relations and 88934959 unique ideals Thu Mar 12 01:59:26 2026 reduce to 87305857 relations and 79165638 ideals in 10 passes Thu Mar 12 01:59:26 2026 max relations containing the same ideal: 112 Thu Mar 12 02:00:52 2026 removing 9755715 relations and 7755715 ideals in 2000000 cliques Thu Mar 12 02:00:58 2026 commencing in-memory singleton removal Thu Mar 12 02:01:20 2026 begin with 77550142 relations and 79165638 unique ideals Thu Mar 12 02:02:54 2026 reduce to 76616262 relations and 70455351 ideals in 11 passes Thu Mar 12 02:02:54 2026 max relations containing the same ideal: 101 Thu Mar 12 02:04:10 2026 removing 9279721 relations and 7279721 ideals in 2000000 cliques Thu Mar 12 02:04:15 2026 commencing in-memory singleton removal Thu Mar 12 02:04:34 2026 begin with 67336541 relations and 70455351 unique ideals Thu Mar 12 02:05:45 2026 reduce to 66378221 relations and 62193961 ideals in 10 passes Thu Mar 12 02:05:45 2026 max relations containing the same ideal: 95 Thu Mar 12 02:06:48 2026 removing 9031259 relations and 7031259 ideals in 2000000 cliques Thu Mar 12 02:06:53 2026 commencing in-memory singleton removal Thu Mar 12 02:07:09 2026 begin with 57346962 relations and 62193961 unique ideals Thu Mar 12 02:08:06 2026 reduce to 56301518 relations and 54088526 ideals in 9 passes Thu Mar 12 02:08:06 2026 max relations containing the same ideal: 85 Thu Mar 12 02:09:01 2026 removing 4769497 relations and 3885228 ideals in 884269 cliques Thu Mar 12 02:09:04 2026 commencing in-memory singleton removal Thu Mar 12 02:09:20 2026 begin with 51532021 relations and 54088526 unique ideals Thu Mar 12 02:10:16 2026 reduce to 51222604 relations and 49889494 ideals in 10 passes Thu Mar 12 02:10:16 2026 max relations containing the same ideal: 82 Thu Mar 12 02:11:14 2026 relations with 0 large ideals: 3476 Thu Mar 12 02:11:14 2026 relations with 1 large ideals: 32262 Thu Mar 12 02:11:14 2026 relations with 2 large ideals: 418936 Thu Mar 12 02:11:14 2026 relations with 3 large ideals: 2392975 Thu Mar 12 02:11:14 2026 relations with 4 large ideals: 7384219 Thu Mar 12 02:11:14 2026 relations with 5 large ideals: 13240557 Thu Mar 12 02:11:14 2026 relations with 6 large ideals: 14259420 Thu Mar 12 02:11:14 2026 relations with 7+ large ideals: 13490759 Thu Mar 12 02:11:14 2026 commencing 2-way merge Thu Mar 12 02:12:30 2026 reduce to 30981436 relation sets and 29648326 unique ideals Thu Mar 12 02:12:30 2026 commencing full merge Thu Mar 12 02:24:10 2026 memory use: 3301.2 MB Thu Mar 12 02:24:17 2026 found 16096522 cycles, need 15912526 Thu Mar 12 02:24:25 2026 weight of 15912526 cycles is about 1193770337 (75.02/cycle) Thu Mar 12 02:24:25 2026 distribution of cycle lengths: Thu Mar 12 02:24:25 2026 1 relations: 1881584 Thu Mar 12 02:24:25 2026 2 relations: 1892807 Thu Mar 12 02:24:25 2026 3 relations: 1907662 Thu Mar 12 02:24:25 2026 4 relations: 1715803 Thu Mar 12 02:24:25 2026 5 relations: 1567494 Thu Mar 12 02:24:25 2026 6 relations: 1373619 Thu Mar 12 02:24:25 2026 7 relations: 1217541 Thu Mar 12 02:24:25 2026 8 relations: 1035434 Thu Mar 12 02:24:25 2026 9 relations: 860231 Thu Mar 12 02:24:25 2026 10+ relations: 2460351 Thu Mar 12 02:24:25 2026 heaviest cycle: 19 relations Thu Mar 12 02:24:32 2026 commencing cycle optimization Thu Mar 12 02:25:16 2026 start with 88304439 relations Thu Mar 12 02:28:13 2026 pruned 1890134 relations Thu Mar 12 02:28:15 2026 memory use: 2988.4 MB Thu Mar 12 02:28:15 2026 distribution of cycle lengths: Thu Mar 12 02:28:15 2026 1 relations: 1881584 Thu Mar 12 02:28:15 2026 2 relations: 1932953 Thu Mar 12 02:28:15 2026 3 relations: 1968515 Thu Mar 12 02:28:15 2026 4 relations: 1751899 Thu Mar 12 02:28:15 2026 5 relations: 1600196 Thu Mar 12 02:28:15 2026 6 relations: 1392593 Thu Mar 12 02:28:15 2026 7 relations: 1227233 Thu Mar 12 02:28:15 2026 8 relations: 1034685 Thu Mar 12 02:28:15 2026 9 relations: 850781 Thu Mar 12 02:28:15 2026 10+ relations: 2272087 Thu Mar 12 02:28:15 2026 heaviest cycle: 19 relations Thu Mar 12 02:28:51 2026 RelProcTime: 9980 Thu Mar 12 02:29:00 2026 Thu Mar 12 02:29:00 2026 commencing linear algebra Thu Mar 12 02:29:00 2026 using VBITS=128 Thu Mar 12 02:29:02 2026 read 15912526 cycles Thu Mar 12 02:29:47 2026 cycles contain 50160884 unique relations Thu Mar 12 02:37:29 2026 read 50160884 relations Thu Mar 12 02:39:17 2026 using 20 quadratic characters above 4294917295 Thu Mar 12 02:44:39 2026 building initial matrix Thu Mar 12 02:59:23 2026 memory use: 6754.9 MB Thu Mar 12 02:59:36 2026 read 15912526 cycles Thu Mar 12 02:59:39 2026 matrix is 15912340 x 15912526 (5135.6 MB) with weight 1586191404 (99.68/col) Thu Mar 12 02:59:39 2026 sparse part has weight 1155309874 (72.60/col) Thu Mar 12 03:03:59 2026 filtering completed in 2 passes Thu Mar 12 03:04:04 2026 matrix is 15897949 x 15898133 (5134.4 MB) with weight 1585674161 (99.74/col) Thu Mar 12 03:04:04 2026 sparse part has weight 1155180065 (72.66/col) Thu Mar 12 03:05:42 2026 matrix starts at (0, 0) Thu Mar 12 03:05:45 2026 matrix is 15897949 x 15898133 (5134.4 MB) with weight 1585674161 (99.74/col) Thu Mar 12 03:05:45 2026 sparse part has weight 1155180065 (72.66/col) Thu Mar 12 03:05:45 2026 saving the first 112 matrix rows for later Thu Mar 12 03:05:49 2026 matrix includes 128 packed rows Thu Mar 12 03:05:54 2026 matrix is 15897837 x 15898133 (4752.0 MB) with weight 1136166921 (71.47/col) Thu Mar 12 03:05:54 2026 sparse part has weight 1054939702 (66.36/col) Thu Mar 12 03:05:55 2026 using GPU 0 (Tesla P100-PCIE-16GB) Thu Mar 12 03:05:55 2026 selected card has CUDA arch 6.0 Thu Mar 12 03:10:19 2026 commencing Lanczos iteration Thu Mar 12 03:10:21 2026 memory use: 10110.5 MB Thu Mar 12 03:12:06 2026 linear algebra at 0.2%, ETA 15h 0m Thu Mar 12 03:12:32 2026 checking every 10000 dimensions, checkpointing every 1070000 dimensions Thu Mar 12 18:07:00 2026 lanczos halted after 124952 iterations (dim = 15897837) Thu Mar 12 18:07:39 2026 recovered 32 nontrivial dependencies Thu Mar 12 18:07:40 2026 BLanczosTime: 56320 Thu Mar 12 18:07:40 2026 Thu Mar 12 18:07:40 2026 commencing square root phase Thu Mar 12 18:07:40 2026 handling dependencies 1 to 64 Thu Mar 12 18:07:40 2026 reading relations for dependency 1 Thu Mar 12 18:07:47 2026 read 7950938 cycles Thu Mar 12 18:08:12 2026 cycles contain 25079944 unique relations Thu Mar 12 18:12:21 2026 read 25079944 relations Thu Mar 12 18:16:03 2026 multiplying 25079944 relations Thu Mar 12 19:01:54 2026 multiply complete, coefficients have about 1442.88 million bits Thu Mar 12 19:02:06 2026 initial square root is modulo 2967317 Thu Mar 12 19:47:25 2026 GCD is 1, no factor found Thu Mar 12 19:47:25 2026 reading relations for dependency 2 Thu Mar 12 19:47:33 2026 read 7950076 cycles Thu Mar 12 19:47:53 2026 cycles contain 25078322 unique relations Thu Mar 12 19:51:26 2026 read 25078322 relations Thu Mar 12 19:54:59 2026 multiplying 25078322 relations Thu Mar 12 20:40:04 2026 multiply complete, coefficients have about 1442.77 million bits Thu Mar 12 20:40:19 2026 initial square root is modulo 2964257 Thu Mar 12 21:24:46 2026 GCD is N, no factor found Thu Mar 12 21:24:46 2026 reading relations for dependency 3 Thu Mar 12 21:24:52 2026 read 7949143 cycles Thu Mar 12 21:25:14 2026 cycles contain 25081520 unique relations Thu Mar 12 21:28:28 2026 read 25081520 relations Thu Mar 12 21:32:01 2026 multiplying 25081520 relations Thu Mar 12 22:17:34 2026 multiply complete, coefficients have about 1442.95 million bits Thu Mar 12 22:17:48 2026 initial square root is modulo 2969767 Thu Mar 12 23:02:54 2026 sqrtTime: 17714 Thu Mar 12 23:02:54 2026 p84 factor: 145188509417792665362813903409569677659768488143539895051752993344228277238431997717 Thu Mar 12 23:02:54 2026 p87 factor: 381954651979924509520683033530636092273722891134624824093254347771785801421827488732239 Thu Mar 12 23:02:54 2026 elapsed time 23:20:24