Factors: 86262050293361840022385972200321453778998743888124198791346157 and 13807062206574346795168746003881249625311079400470705490973511054186045026692205410323186767 Polynomial: # Murphy_E = 4.139e-12, selected by loader3229 n: 1191025494467091806186381109577393304345296829936645520387123768684005791844316972494045205725580356891857511025665902945423184043614222559949842058704419 Y0: -1459249986097181220148780591218 Y1: 3661535934571477 c0: -260996819751250689116413074650140310845 c1: 349165636344295208708964493747590 c2: -15477476694667484751573934 c3: -427527930820274550 c4: 10494861551 c5: 180 skew: 35667614.38 type: gnfs lss: 0 rlim: 50000000 alim: 40000000 lpbr: 29 lpba: 29 mfbr: 57 mfba: 57 rlambda: 2.5 alambda: 2.7 04/21/25 21:51:33 v1.34.5 @ LAPTOP-QDT9Q606, System/Build Info: Using GMP-ECM 6.3, Powered by GMP 5.1.1 cached 78498 primes. pmax = 999983 detected 12th Gen Intel(R) Core(TM) i5-1240P detected L1 = 49152 bytes, L2 = 12582912 bytes, CL = 64 bytes measured cpu frequency ~= 2114.724760 using 20 random witnesses for Rabin-Miller PRP checks =============================================================== ======= Welcome to YAFU (Yet Another Factoring Utility) ======= ======= bbuhrow@gmail.com ======= ======= Type help at any time, or quit to quit ======= =============================================================== cached 78498 primes. pmax = 999983 04/21/25 21:51:37 v1.34.5 @ LAPTOP-QDT9Q606, Processing expression: nfs(1191025494467091806186381109577393304345296829936645520387123768684005791844316972494045205725580356891857511025665902945423184043614222559949842058704419) 04/21/25 21:51:37 v1.34.5 @ LAPTOP-QDT9Q606, nfs: commencing nfs on c154: 1191025494467091806186381109577393304345296829936645520387123768684005791844316972494045205725580356891857511025665902945423184043614222559949842058704419 Mon Apr 21 21:51:37 2025 Mon Apr 21 21:51:37 2025 commencing relation filtering Mon Apr 21 21:51:37 2025 estimated available RAM is 16077.8 MB Mon Apr 21 21:51:37 2025 commencing duplicate removal, pass 1 Mon Apr 21 21:53:20 2025 error -15 reading relation 11075951 Mon Apr 21 21:53:36 2025 error -15 reading relation 13028083 Mon Apr 21 21:53:44 2025 error -15 reading relation 13852542 Mon Apr 21 21:53:56 2025 error -9 reading relation 15371018 Mon Apr 21 21:53:58 2025 error -15 reading relation 15519457 Mon Apr 21 21:53:58 2025 error -15 reading relation 15556498 Mon Apr 21 21:53:59 2025 error -15 reading relation 15671761 Mon Apr 21 21:54:10 2025 error -15 reading relation 16925308 Mon Apr 21 21:54:38 2025 error -15 reading relation 21452217 Mon Apr 21 21:54:47 2025 error -9 reading relation 23132955 Mon Apr 21 21:54:50 2025 error -9 reading relation 23643018 Mon Apr 21 21:54:52 2025 error -9 reading relation 24212593 Mon Apr 21 21:54:55 2025 error -15 reading relation 24862272 Mon Apr 21 21:54:59 2025 error -15 reading relation 25546088 Mon Apr 21 21:54:59 2025 error -15 reading relation 25556031 Mon Apr 21 21:54:59 2025 error -15 reading relation 25565560 Mon Apr 21 21:54:59 2025 error -9 reading relation 25574860 Mon Apr 21 21:55:28 2025 error -15 reading relation 30978752 Mon Apr 21 21:55:31 2025 error -15 reading relation 31509434 Mon Apr 21 21:55:31 2025 error -15 reading relation 31567017 Mon Apr 21 21:55:44 2025 error -5 reading relation 33886426 Mon Apr 21 21:55:45 2025 error -1 reading relation 34165768 Mon Apr 21 21:55:46 2025 error -9 reading relation 34411027 Mon Apr 21 21:55:50 2025 error -15 reading relation 35231663 Mon Apr 21 21:55:51 2025 error -15 reading relation 35281849 Mon Apr 21 21:56:00 2025 error -15 reading relation 37406587 Mon Apr 21 21:56:05 2025 error -9 reading relation 38458855 Mon Apr 21 21:56:15 2025 error -15 reading relation 40515819 Mon Apr 21 21:56:24 2025 error -11 reading relation 42266845 Mon Apr 21 21:56:28 2025 error -1 reading relation 42778669 Mon Apr 21 21:56:28 2025 error -9 reading relation 42851469 Mon Apr 21 21:56:31 2025 error -15 reading relation 43306500 Mon Apr 21 21:56:57 2025 error -15 reading relation 48187022 Mon Apr 21 21:57:17 2025 error -15 reading relation 52217102 Mon Apr 21 21:57:23 2025 error -15 reading relation 53640816 Mon Apr 21 21:57:23 2025 error -9 reading relation 53655138 Mon Apr 21 21:57:23 2025 error -15 reading relation 53665089 Mon Apr 21 21:57:27 2025 error -15 reading relation 54452351 Mon Apr 21 21:57:33 2025 found 9229239 hash collisions in 55526318 relations Mon Apr 21 21:58:05 2025 added 122209 free relations Mon Apr 21 21:58:05 2025 commencing duplicate removal, pass 2 Mon Apr 21 21:58:49 2025 found 8335294 duplicates and 47313233 unique relations Mon Apr 21 21:58:49 2025 memory use: 330.4 MB Mon Apr 21 21:58:49 2025 reading ideals above 720000 Mon Apr 21 21:58:49 2025 commencing singleton removal, initial pass Mon Apr 21 22:05:31 2025 memory use: 1378.0 MB Mon Apr 21 22:05:31 2025 reading all ideals from disk Mon Apr 21 22:05:43 2025 memory use: 1685.2 MB Mon Apr 21 22:05:48 2025 keeping 45089685 ideals with weight <= 200, target excess is 247974 Mon Apr 21 22:05:53 2025 commencing in-memory singleton removal Mon Apr 21 22:05:58 2025 begin with 47313233 relations and 45089685 unique ideals Mon Apr 21 22:06:29 2025 reduce to 28561369 relations and 24333065 ideals in 14 passes Mon Apr 21 22:06:29 2025 max relations containing the same ideal: 154 Mon Apr 21 22:06:44 2025 removing 2463219 relations and 2063219 ideals in 400000 cliques Mon Apr 21 22:06:45 2025 commencing in-memory singleton removal Mon Apr 21 22:06:47 2025 begin with 26098150 relations and 24333065 unique ideals Mon Apr 21 22:07:02 2025 reduce to 25940209 relations and 22109058 ideals in 8 passes Mon Apr 21 22:07:02 2025 max relations containing the same ideal: 142 Mon Apr 21 22:07:16 2025 removing 1877366 relations and 1477366 ideals in 400000 cliques Mon Apr 21 22:07:17 2025 commencing in-memory singleton removal Mon Apr 21 22:07:18 2025 begin with 24062843 relations and 22109058 unique ideals Mon Apr 21 22:07:31 2025 reduce to 23958090 relations and 20525330 ideals in 8 passes Mon Apr 21 22:07:31 2025 max relations containing the same ideal: 135 Mon Apr 21 22:07:44 2025 removing 1696787 relations and 1296787 ideals in 400000 cliques Mon Apr 21 22:07:44 2025 commencing in-memory singleton removal Mon Apr 21 22:07:46 2025 begin with 22261303 relations and 20525330 unique ideals Mon Apr 21 22:07:56 2025 reduce to 22167732 relations and 19133562 ideals in 7 passes Mon Apr 21 22:07:56 2025 max relations containing the same ideal: 127 Mon Apr 21 22:08:08 2025 removing 1607604 relations and 1207604 ideals in 400000 cliques Mon Apr 21 22:08:09 2025 commencing in-memory singleton removal Mon Apr 21 22:08:11 2025 begin with 20560128 relations and 19133562 unique ideals Mon Apr 21 22:08:22 2025 reduce to 20470255 relations and 17834676 ideals in 8 passes Mon Apr 21 22:08:22 2025 max relations containing the same ideal: 120 Mon Apr 21 22:08:33 2025 removing 1552258 relations and 1152258 ideals in 400000 cliques Mon Apr 21 22:08:33 2025 commencing in-memory singleton removal Mon Apr 21 22:08:35 2025 begin with 18917997 relations and 17834676 unique ideals Mon Apr 21 22:08:44 2025 reduce to 18827741 relations and 16590634 ideals in 7 passes Mon Apr 21 22:08:44 2025 max relations containing the same ideal: 115 Mon Apr 21 22:08:54 2025 removing 1520193 relations and 1120193 ideals in 400000 cliques Mon Apr 21 22:08:55 2025 commencing in-memory singleton removal Mon Apr 21 22:08:57 2025 begin with 17307548 relations and 16590634 unique ideals Mon Apr 21 22:09:04 2025 reduce to 17215430 relations and 15376595 ideals in 7 passes Mon Apr 21 22:09:04 2025 max relations containing the same ideal: 108 Mon Apr 21 22:09:14 2025 removing 1498505 relations and 1098505 ideals in 400000 cliques Mon Apr 21 22:09:15 2025 commencing in-memory singleton removal Mon Apr 21 22:09:16 2025 begin with 15716925 relations and 15376595 unique ideals Mon Apr 21 22:09:23 2025 reduce to 15619535 relations and 14178843 ideals in 7 passes Mon Apr 21 22:09:23 2025 max relations containing the same ideal: 101 Mon Apr 21 22:09:31 2025 removing 1488350 relations and 1088350 ideals in 400000 cliques Mon Apr 21 22:09:32 2025 commencing in-memory singleton removal Mon Apr 21 22:09:33 2025 begin with 14131185 relations and 14178843 unique ideals Mon Apr 21 22:09:39 2025 reduce to 14027116 relations and 12984165 ideals in 7 passes Mon Apr 21 22:09:39 2025 max relations containing the same ideal: 92 Mon Apr 21 22:09:46 2025 removing 1481754 relations and 1081754 ideals in 400000 cliques Mon Apr 21 22:09:47 2025 commencing in-memory singleton removal Mon Apr 21 22:09:48 2025 begin with 12545362 relations and 12984165 unique ideals Mon Apr 21 22:09:54 2025 reduce to 12431436 relations and 11785739 ideals in 8 passes Mon Apr 21 22:09:54 2025 max relations containing the same ideal: 88 Mon Apr 21 22:10:01 2025 removing 1358837 relations and 1000790 ideals in 358047 cliques Mon Apr 21 22:10:01 2025 commencing in-memory singleton removal Mon Apr 21 22:10:02 2025 begin with 11072599 relations and 11785739 unique ideals Mon Apr 21 22:10:07 2025 reduce to 10965866 relations and 10675602 ideals in 7 passes Mon Apr 21 22:10:07 2025 max relations containing the same ideal: 79 Mon Apr 21 22:10:15 2025 relations with 0 large ideals: 780 Mon Apr 21 22:10:15 2025 relations with 1 large ideals: 2566 Mon Apr 21 22:10:15 2025 relations with 2 large ideals: 38707 Mon Apr 21 22:10:15 2025 relations with 3 large ideals: 273585 Mon Apr 21 22:10:15 2025 relations with 4 large ideals: 1024859 Mon Apr 21 22:10:15 2025 relations with 5 large ideals: 2254626 Mon Apr 21 22:10:15 2025 relations with 6 large ideals: 3064390 Mon Apr 21 22:10:15 2025 relations with 7+ large ideals: 4306353 Mon Apr 21 22:10:15 2025 commencing 2-way merge Mon Apr 21 22:10:23 2025 reduce to 7045591 relation sets and 6755327 unique ideals Mon Apr 21 22:10:23 2025 commencing full merge Mon Apr 21 22:12:15 2025 memory use: 825.0 MB Mon Apr 21 22:12:17 2025 found 3779346 cycles, need 3737527 Mon Apr 21 22:12:17 2025 weight of 3737527 cycles is about 261936075 (70.08/cycle) Mon Apr 21 22:12:17 2025 distribution of cycle lengths: Mon Apr 21 22:12:17 2025 1 relations: 441031 Mon Apr 21 22:12:17 2025 2 relations: 451353 Mon Apr 21 22:12:17 2025 3 relations: 455951 Mon Apr 21 22:12:17 2025 4 relations: 428053 Mon Apr 21 22:12:17 2025 5 relations: 403768 Mon Apr 21 22:12:17 2025 6 relations: 355729 Mon Apr 21 22:12:17 2025 7 relations: 305634 Mon Apr 21 22:12:17 2025 8 relations: 251339 Mon Apr 21 22:12:17 2025 9 relations: 197649 Mon Apr 21 22:12:17 2025 10+ relations: 447020 Mon Apr 21 22:12:17 2025 heaviest cycle: 18 relations Mon Apr 21 22:12:18 2025 commencing cycle optimization Mon Apr 21 22:12:23 2025 start with 19688787 relations Mon Apr 21 22:12:57 2025 pruned 533181 relations Mon Apr 21 22:12:57 2025 memory use: 651.7 MB Mon Apr 21 22:12:57 2025 distribution of cycle lengths: Mon Apr 21 22:12:57 2025 1 relations: 441031 Mon Apr 21 22:12:57 2025 2 relations: 461773 Mon Apr 21 22:12:57 2025 3 relations: 473603 Mon Apr 21 22:12:57 2025 4 relations: 440434 Mon Apr 21 22:12:57 2025 5 relations: 415885 Mon Apr 21 22:12:57 2025 6 relations: 363146 Mon Apr 21 22:12:57 2025 7 relations: 310448 Mon Apr 21 22:12:57 2025 8 relations: 249394 Mon Apr 21 22:12:57 2025 9 relations: 192244 Mon Apr 21 22:12:57 2025 10+ relations: 389569 Mon Apr 21 22:12:57 2025 heaviest cycle: 18 relations Mon Apr 21 22:13:01 2025 RelProcTime: 1284 Mon Apr 21 22:13:01 2025 Mon Apr 21 22:13:01 2025 commencing linear algebra Mon Apr 21 22:13:02 2025 read 3737527 cycles Mon Apr 21 22:13:07 2025 cycles contain 10774559 unique relations Mon Apr 21 22:14:10 2025 read 10774559 relations Mon Apr 21 22:14:32 2025 using 20 quadratic characters above 536870562 Mon Apr 21 22:15:22 2025 building initial matrix Mon Apr 21 22:17:18 2025 memory use: 1478.4 MB Mon Apr 21 22:17:21 2025 read 3737527 cycles Mon Apr 21 22:17:22 2025 matrix is 3737347 x 3737527 (1133.5 MB) with weight 356052788 (95.26/col) Mon Apr 21 22:17:22 2025 sparse part has weight 252287950 (67.50/col) Mon Apr 21 22:17:53 2025 filtering completed in 2 passes Mon Apr 21 22:17:54 2025 matrix is 3736378 x 3736558 (1133.4 MB) with weight 356018456 (95.28/col) Mon Apr 21 22:17:54 2025 sparse part has weight 252279571 (67.52/col) Mon Apr 21 22:18:01 2025 matrix starts at (0, 0) Mon Apr 21 22:18:02 2025 matrix is 3736378 x 3736558 (1133.4 MB) with weight 356018456 (95.28/col) Mon Apr 21 22:18:02 2025 sparse part has weight 252279571 (67.52/col) Mon Apr 21 22:18:02 2025 saving the first 48 matrix rows for later Mon Apr 21 22:18:03 2025 matrix includes 64 packed rows Mon Apr 21 22:18:03 2025 matrix is 3736330 x 3736558 (1093.9 MB) with weight 282934907 (75.72/col) Mon Apr 21 22:18:03 2025 sparse part has weight 249382351 (66.74/col) Mon Apr 21 22:18:03 2025 using block size 65536 for processor cache size 12288 kB Mon Apr 21 22:18:24 2025 commencing Lanczos iteration (8 threads) Mon Apr 21 22:18:24 2025 memory use: 1067.9 MB Mon Apr 21 22:18:39 2025 linear algebra at 0.0%, ETA 9h32m Mon Apr 21 22:18:44 2025 checkpointing every 390000 dimensions Tue Apr 22 14:13:53 2025 lanczos halted after 59090 iterations (dim = 3736330) Tue Apr 22 14:14:01 2025 recovered 30 nontrivial dependencies Tue Apr 22 14:14:01 2025 BLanczosTime: 57660 Tue Apr 22 14:14:01 2025 Tue Apr 22 14:14:01 2025 commencing square root phase Tue Apr 22 14:14:01 2025 reading relations for dependency 1 Tue Apr 22 14:14:03 2025 read 1867586 cycles Tue Apr 22 14:14:07 2025 cycles contain 5385766 unique relations Tue Apr 22 14:15:11 2025 read 5385766 relations Tue Apr 22 14:16:05 2025 multiplying 5385766 relations Tue Apr 22 14:25:38 2025 multiply complete, coefficients have about 238.99 million bits Tue Apr 22 14:25:41 2025 initial square root is modulo 377134309 Tue Apr 22 14:34:56 2025 sqrtTime: 1255 04/22/25 14:34:56 v1.34.5 @ LAPTOP-QDT9Q606, prp62 = 86262050293361840022385972200321453778998743888124198791346157 04/22/25 14:34:56 v1.34.5 @ LAPTOP-QDT9Q606, prp92 = 13807062206574346795168746003881249625311079400470705490973511054186045026692205410323186767