Fri May 22 08:47:40 2026 Fri May 22 08:47:40 2026 Fri May 22 08:47:40 2026 Msieve v. 1.54 (SVN Unversioned directory) Fri May 22 08:47:40 2026 random seeds: 5c618f27 fc60410d Fri May 22 08:47:40 2026 MPI process 0 of 1 Fri May 22 08:47:40 2026 Using 32 OpenMP threads Fri May 22 08:47:40 2026 factoring 7241204213563223226611863100441747062642490585827785951754654361062435550896709121083125751607612392283340031404589953250014538043607668380135930398971292862173 (160 digits) Fri May 22 08:47:41 2026 searching for 15-digit factors Fri May 22 08:47:42 2026 commencing number field sieve (160-digit input) Fri May 22 08:47:42 2026 R0: -8617577139409024441332431056449 Fri May 22 08:47:42 2026 R1: 237454858075588971353867 Fri May 22 08:47:42 2026 A0: -1177800376972779594806740039375233293000 Fri May 22 08:47:42 2026 A1: -161449613505279617009288817156990 Fri May 22 08:47:42 2026 A2: -124191832425259481389555719 Fri May 22 08:47:42 2026 A3: -946692215712505465 Fri May 22 08:47:42 2026 A4: -65375616966 Fri May 22 08:47:42 2026 A5: 309960 Fri May 22 08:47:42 2026 skew 7522673.12, size 1.434e-15, alpha -8.153, combined = 1.418e-12 rroots = 1 Fri May 22 08:47:42 2026 Fri May 22 08:47:42 2026 commencing relation filtering Fri May 22 08:47:42 2026 setting target matrix density to 130.0 Fri May 22 08:47:42 2026 estimated available RAM is 257736.5 MB Fri May 22 08:47:42 2026 commencing duplicate removal, pass 1 Fri May 22 08:48:24 2026 error -15 reading relation 18045396 Fri May 22 08:48:27 2026 error -1 reading relation 19462040 Fri May 22 08:48:36 2026 error -1 reading relation 23504929 Fri May 22 08:48:39 2026 error -15 reading relation 24820680 Fri May 22 08:50:36 2026 error -1 reading relation 74964837 Fri May 22 08:50:55 2026 error -1 reading relation 83162976 Fri May 22 08:51:06 2026 error -1 reading relation 87851088 Fri May 22 08:51:22 2026 error -1 reading relation 94011613 Fri May 22 08:51:41 2026 error -1 reading relation 102621712 Fri May 22 08:52:04 2026 skipped 2 relations with composite factors Fri May 22 08:52:04 2026 skipped 57 malformed relations Fri May 22 08:52:04 2026 found 18693720 hash collisions in 112541091 relations Fri May 22 08:52:41 2026 added 121625 free relations Fri May 22 08:52:41 2026 commencing duplicate removal, pass 2 Fri May 22 08:56:19 2026 found 16970819 duplicates and 95691897 unique relations Fri May 22 08:56:19 2026 memory use: 660.8 MB Fri May 22 08:56:20 2026 reading ideals above 720000 Fri May 22 08:56:20 2026 commencing singleton removal, initial pass Fri May 22 09:07:18 2026 memory use: 2756.0 MB Fri May 22 09:07:18 2026 reading all ideals from disk Fri May 22 09:07:21 2026 memory use: 4278.7 MB Fri May 22 09:07:43 2026 keeping 88485000 ideals with weight <= 200, target excess is 494948 Fri May 22 09:08:08 2026 commencing in-memory singleton removal Fri May 22 09:08:10 2026 begin with 95691897 relations and 88485000 unique ideals Fri May 22 09:08:20 2026 reduce to 59257241 relations and 48054515 ideals in 15 passes Fri May 22 09:08:20 2026 max relations containing the same ideal: 155 Fri May 22 09:09:02 2026 removing 8993848 relations and 6993848 ideals in 2000000 cliques Fri May 22 09:09:07 2026 commencing in-memory singleton removal Fri May 22 09:09:09 2026 begin with 50263393 relations and 48054515 unique ideals Fri May 22 09:09:13 2026 reduce to 49214665 relations and 39968885 ideals in 9 passes Fri May 22 09:09:13 2026 max relations containing the same ideal: 134 Fri May 22 09:09:48 2026 removing 7075966 relations and 5075966 ideals in 2000000 cliques Fri May 22 09:09:52 2026 commencing in-memory singleton removal Fri May 22 09:09:53 2026 begin with 42138699 relations and 39968885 unique ideals Fri May 22 09:09:56 2026 reduce to 41372273 relations and 34095971 ideals in 9 passes Fri May 22 09:09:56 2026 max relations containing the same ideal: 121 Fri May 22 09:10:24 2026 removing 6561271 relations and 4561271 ideals in 2000000 cliques Fri May 22 09:10:28 2026 commencing in-memory singleton removal Fri May 22 09:10:29 2026 begin with 34811002 relations and 34095971 unique ideals Fri May 22 09:10:31 2026 reduce to 34074446 relations and 28765741 ideals in 8 passes Fri May 22 09:10:31 2026 max relations containing the same ideal: 105 Fri May 22 09:10:57 2026 removing 6312172 relations and 4312172 ideals in 2000000 cliques Fri May 22 09:11:00 2026 commencing in-memory singleton removal Fri May 22 09:11:01 2026 begin with 27762274 relations and 28765741 unique ideals Fri May 22 09:11:03 2026 reduce to 26976517 relations and 23626654 ideals in 8 passes Fri May 22 09:11:03 2026 max relations containing the same ideal: 89 Fri May 22 09:11:26 2026 removing 6167711 relations and 4167711 ideals in 2000000 cliques Fri May 22 09:11:31 2026 commencing in-memory singleton removal Fri May 22 09:11:31 2026 begin with 20808806 relations and 23626654 unique ideals Fri May 22 09:11:32 2026 reduce to 19903323 relations and 18493389 ideals in 10 passes Fri May 22 09:11:32 2026 max relations containing the same ideal: 76 Fri May 22 09:11:49 2026 removing 3050867 relations and 2215073 ideals in 835794 cliques Fri May 22 09:11:51 2026 commencing in-memory singleton removal Fri May 22 09:11:51 2026 begin with 16852456 relations and 18493389 unique ideals Fri May 22 09:11:52 2026 reduce to 16541135 relations and 15955207 ideals in 8 passes Fri May 22 09:11:52 2026 max relations containing the same ideal: 69 Fri May 22 09:12:05 2026 removing 83471 relations and 71683 ideals in 11788 cliques Fri May 22 09:12:06 2026 commencing in-memory singleton removal Fri May 22 09:12:07 2026 begin with 16457664 relations and 15955207 unique ideals Fri May 22 09:12:07 2026 reduce to 16457392 relations and 15883251 ideals in 5 passes Fri May 22 09:12:07 2026 max relations containing the same ideal: 69 Fri May 22 09:12:10 2026 relations with 0 large ideals: 1613 Fri May 22 09:12:10 2026 relations with 1 large ideals: 9622 Fri May 22 09:12:10 2026 relations with 2 large ideals: 130038 Fri May 22 09:12:10 2026 relations with 3 large ideals: 756995 Fri May 22 09:12:10 2026 relations with 4 large ideals: 2312283 Fri May 22 09:12:10 2026 relations with 5 large ideals: 4116622 Fri May 22 09:12:10 2026 relations with 6 large ideals: 4498820 Fri May 22 09:12:10 2026 relations with 7+ large ideals: 4631399 Fri May 22 09:12:10 2026 commencing 2-way merge Fri May 22 09:12:29 2026 reduce to 10602615 relation sets and 10028474 unique ideals Fri May 22 09:12:29 2026 commencing full merge Fri May 22 09:20:51 2026 memory use: 1319.1 MB Fri May 22 09:20:53 2026 found 4712760 cycles, need 4686674 Fri May 22 09:20:56 2026 weight of 4686674 cycles is about 610177131 (130.19/cycle) Fri May 22 09:20:56 2026 distribution of cycle lengths: Fri May 22 09:20:56 2026 1 relations: 116553 Fri May 22 09:20:56 2026 2 relations: 240842 Fri May 22 09:20:56 2026 3 relations: 303172 Fri May 22 09:20:56 2026 4 relations: 322633 Fri May 22 09:20:56 2026 5 relations: 337027 Fri May 22 09:20:56 2026 6 relations: 336571 Fri May 22 09:20:56 2026 7 relations: 334984 Fri May 22 09:20:56 2026 8 relations: 324677 Fri May 22 09:20:56 2026 9 relations: 308168 Fri May 22 09:20:56 2026 10+ relations: 2062047 Fri May 22 09:20:56 2026 heaviest cycle: 28 relations Fri May 22 09:20:59 2026 commencing cycle optimization Fri May 22 09:21:19 2026 start with 44446154 relations Fri May 22 09:24:41 2026 pruned 2240516 relations Fri May 22 09:24:41 2026 memory use: 1137.6 MB Fri May 22 09:24:41 2026 distribution of cycle lengths: Fri May 22 09:24:41 2026 1 relations: 116553 Fri May 22 09:24:41 2026 2 relations: 248095 Fri May 22 09:24:41 2026 3 relations: 317814 Fri May 22 09:24:41 2026 4 relations: 338209 Fri May 22 09:24:41 2026 5 relations: 355756 Fri May 22 09:24:41 2026 6 relations: 354888 Fri May 22 09:24:41 2026 7 relations: 355283 Fri May 22 09:24:41 2026 8 relations: 342223 Fri May 22 09:24:41 2026 9 relations: 324749 Fri May 22 09:24:41 2026 10+ relations: 1933104 Fri May 22 09:24:41 2026 heaviest cycle: 28 relations Fri May 22 09:24:56 2026 RelProcTime: 2234 Fri May 22 09:24:56 2026 Fri May 22 09:24:56 2026 commencing linear algebra Fri May 22 09:24:56 2026 using VBITS=256 Fri May 22 09:24:56 2026 stopping after matrix build Fri May 22 09:24:56 2026 initialized process (0,0) of 1 x 1 grid Fri May 22 09:24:57 2026 read 4686674 cycles Fri May 22 09:25:14 2026 cycles contain 16147185 unique relations Fri May 22 09:27:38 2026 read 16147185 relations Fri May 22 09:27:40 2026 using 20 quadratic characters above 4294917295 Fri May 22 09:27:43 2026 building initial matrix Fri May 22 09:34:10 2026 memory use: 2196.7 MB Fri May 22 09:34:17 2026 read 4686674 cycles Fri May 22 09:34:18 2026 matrix is 4686497 x 4686674 (2358.8 MB) with weight 717105854 (153.01/col) Fri May 22 09:34:18 2026 sparse part has weight 562116969 (119.94/col) Fri May 22 09:36:11 2026 filtering completed in 2 passes Fri May 22 09:36:13 2026 matrix is 4686411 x 4686587 (2358.8 MB) with weight 717101548 (153.01/col) Fri May 22 09:36:13 2026 sparse part has weight 562115594 (119.94/col) Fri May 22 09:36:49 2026 BLanczosTime: 713 Fri May 22 09:36:49 2026 elapsed time 00:49:09 Fri May 22 09:43:05 2026 Fri May 22 09:43:05 2026 Fri May 22 09:43:05 2026 Msieve v. 1.54 (SVN Unversioned directory) Fri May 22 09:43:05 2026 random seeds: 3067a78c 82f0a1be Fri May 22 09:43:05 2026 MPI process 0 of 1 Fri May 22 09:43:05 2026 Using 64 OpenMP threads Fri May 22 09:43:05 2026 factoring 7241204213563223226611863100441747062642490585827785951754654361062435550896709121083125751607612392283340031404589953250014538043607668380135930398971292862173 (160 digits) Fri May 22 09:43:05 2026 searching for 15-digit factors Fri May 22 09:43:06 2026 commencing number field sieve (160-digit input) Fri May 22 09:43:06 2026 R0: -8617577139409024441332431056449 Fri May 22 09:43:06 2026 R1: 237454858075588971353867 Fri May 22 09:43:06 2026 A0: -1177800376972779594806740039375233293000 Fri May 22 09:43:06 2026 A1: -161449613505279617009288817156990 Fri May 22 09:43:06 2026 A2: -124191832425259481389555719 Fri May 22 09:43:06 2026 A3: -946692215712505465 Fri May 22 09:43:06 2026 A4: -65375616966 Fri May 22 09:43:06 2026 A5: 309960 Fri May 22 09:43:06 2026 skew 7522673.12, size 1.434e-15, alpha -8.153, combined = 1.418e-12 rroots = 1 Fri May 22 09:43:06 2026 Fri May 22 09:43:06 2026 commencing linear algebra Fri May 22 09:43:06 2026 using VBITS=256 Fri May 22 09:43:06 2026 skipping matrix build Fri May 22 09:43:06 2026 initialized process (0,0) of 1 x 1 grid Fri May 22 09:43:08 2026 matrix starts at (0, 0) Fri May 22 09:43:09 2026 matrix is 4686411 x 4686587 (2358.8 MB) with weight 717101548 (153.01/col) Fri May 22 09:43:09 2026 sparse part has weight 562115594 (119.94/col) Fri May 22 09:43:09 2026 saving the first 240 matrix rows for later Fri May 22 09:43:10 2026 matrix includes 256 packed rows Fri May 22 09:43:11 2026 matrix is 4686171 x 4686587 (2101.4 MB) with weight 511773138 (109.20/col) Fri May 22 09:43:11 2026 sparse part has weight 475890062 (101.54/col) Fri May 22 09:43:11 2026 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB Fri May 22 09:43:22 2026 commencing Lanczos iteration (64 threads) Fri May 22 09:43:22 2026 memory use: 2969.0 MB Fri May 22 09:43:58 2026 linear algebra at 0.7%, ETA 1h28m Fri May 22 09:44:51 2026 checking every 50000 dimensions, checkpointing every 3150000 dimensions Fri May 22 11:13:03 2026 lanczos halted after 18362 iterations (dim = 4686171) Fri May 22 11:13:18 2026 recovered 28 nontrivial dependencies Fri May 22 11:13:18 2026 BLanczosTime: 5412 Fri May 22 11:13:18 2026 Fri May 22 11:13:18 2026 commencing square root phase Fri May 22 11:13:18 2026 handling dependencies 1 to 64 Fri May 22 11:13:18 2026 reading relations for dependency 1 Fri May 22 11:13:18 2026 read 2344042 cycles Fri May 22 11:13:22 2026 cycles contain 8074892 unique relations Fri May 22 11:14:50 2026 read 8074892 relations Fri May 22 11:15:15 2026 multiplying 8074892 relations Fri May 22 11:15:57 2026 multiply complete, coefficients have about 437.62 million bits Fri May 22 11:15:58 2026 initial square root is modulo 71165737 Fri May 22 11:18:11 2026 sqrtTime: 293 Fri May 22 11:18:11 2026 p63 factor: 127478233655238901166430260955584693004085880998183369404982201 Fri May 22 11:18:11 2026 p98 factor: 56803455820911710096121330639837467554155632546370966115432465690001254568735328759796153963861573 Fri May 22 11:18:11 2026 elapsed time 01:35:06