Factors: P137 = 23699544155166322302916315446010341754807110483097193961709013968140015883662363735594329390692064936445995666417346824433025841731648027 P65 = 10500910183946189648440782007610118483958352346738901788535169377 04/08/25 17:50:03 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 ~= 2096.451510 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 04/08/25 17:50:17 v1.34.5 @ LAPTOP-QDT9Q606, Processing expression: nfs(248866784573868429281737559997259983255623986351329791627356807752786243200187520895424020340256561899885896573164825249373239449598066464763010328054722028944179029356288832852191903281398951792869179) 04/08/25 17:50:18 v1.34.5 @ LAPTOP-QDT9Q606, nfs: commencing nfs on c201: 248866784573868429281737559997259983255623986351329791627356807752786243200187520895424020340256561899885896573164825249373239449598066464763010328054722028944179029356288832852191903281398951792869179 Tue Apr 08 17:50:18 2025 Tue Apr 08 17:50:18 2025 commencing relation filtering Tue Apr 08 17:50:18 2025 estimated available RAM is 16077.8 MB Tue Apr 08 17:50:18 2025 commencing duplicate removal, pass 1 Tue Apr 08 17:50:42 2025 error -1 reading relation 2709039 Tue Apr 08 17:50:42 2025 error -15 reading relation 2728402 Tue Apr 08 17:50:58 2025 error -15 reading relation 4592865 Tue Apr 08 17:52:45 2025 error -9 reading relation 16944331 Tue Apr 08 17:52:52 2025 error -15 reading relation 17807461 Tue Apr 08 17:53:10 2025 error -15 reading relation 20411084 Tue Apr 08 17:53:38 2025 error -9 reading relation 24749669 Tue Apr 08 17:53:38 2025 error -15 reading relation 24860993 Tue Apr 08 17:54:50 2025 error -9 reading relation 34930200 Tue Apr 08 17:58:01 2025 skipped 1 relations with b > 2^32 Tue Apr 08 17:58:01 2025 found 8095123 hash collisions in 54436468 relations Tue Apr 08 17:58:17 2025 added 2437920 free relations Tue Apr 08 17:58:17 2025 commencing duplicate removal, pass 2 Tue Apr 08 17:59:13 2025 found 6980057 duplicates and 49894331 unique relations Tue Apr 08 17:59:13 2025 memory use: 213.2 MB Tue Apr 08 17:59:13 2025 reading ideals above 720000 Tue Apr 08 17:59:13 2025 commencing singleton removal, initial pass Tue Apr 08 18:10:56 2025 memory use: 1378.0 MB Tue Apr 08 18:10:56 2025 reading all ideals from disk Tue Apr 08 18:11:00 2025 memory use: 1768.9 MB Tue Apr 08 18:11:05 2025 keeping 45897729 ideals with weight <= 200, target excess is 253635 Tue Apr 08 18:11:13 2025 commencing in-memory singleton removal Tue Apr 08 18:11:18 2025 begin with 49894331 relations and 45897729 unique ideals Tue Apr 08 18:12:23 2025 reduce to 32017064 relations and 26157697 ideals in 15 passes Tue Apr 08 18:12:23 2025 max relations containing the same ideal: 160 Tue Apr 08 18:12:46 2025 removing 4572458 relations and 3572458 ideals in 1000000 cliques Tue Apr 08 18:12:48 2025 commencing in-memory singleton removal Tue Apr 08 18:12:51 2025 begin with 27444606 relations and 26157697 unique ideals Tue Apr 08 18:13:21 2025 reduce to 26776589 relations and 21890128 ideals in 9 passes Tue Apr 08 18:13:21 2025 max relations containing the same ideal: 140 Tue Apr 08 18:13:42 2025 removing 3671110 relations and 2671110 ideals in 1000000 cliques Tue Apr 08 18:13:44 2025 commencing in-memory singleton removal Tue Apr 08 18:13:47 2025 begin with 23105479 relations and 21890128 unique ideals Tue Apr 08 18:14:12 2025 reduce to 22696322 relations and 18793859 ideals in 9 passes Tue Apr 08 18:14:12 2025 max relations containing the same ideal: 128 Tue Apr 08 18:14:29 2025 removing 3342630 relations and 2342630 ideals in 1000000 cliques Tue Apr 08 18:14:31 2025 commencing in-memory singleton removal Tue Apr 08 18:14:33 2025 begin with 19353692 relations and 18793859 unique ideals Tue Apr 08 18:14:51 2025 reduce to 18975419 relations and 16057046 ideals in 8 passes Tue Apr 08 18:14:51 2025 max relations containing the same ideal: 114 Tue Apr 08 18:15:05 2025 removing 3207442 relations and 2207442 ideals in 1000000 cliques Tue Apr 08 18:15:07 2025 commencing in-memory singleton removal Tue Apr 08 18:15:08 2025 begin with 15767977 relations and 16057046 unique ideals Tue Apr 08 18:15:23 2025 reduce to 15376797 relations and 13439366 ideals in 8 passes Tue Apr 08 18:15:23 2025 max relations containing the same ideal: 98 Tue Apr 08 18:15:35 2025 removing 3130730 relations and 2130730 ideals in 1000000 cliques Tue Apr 08 18:15:36 2025 commencing in-memory singleton removal Tue Apr 08 18:15:37 2025 begin with 12246067 relations and 13439366 unique ideals Tue Apr 08 18:15:48 2025 reduce to 11810563 relations and 10847407 ideals in 8 passes Tue Apr 08 18:15:48 2025 max relations containing the same ideal: 80 Tue Apr 08 18:15:58 2025 removing 2227734 relations and 1558795 ideals in 668939 cliques Tue Apr 08 18:15:59 2025 commencing in-memory singleton removal Tue Apr 08 18:16:00 2025 begin with 9582829 relations and 10847407 unique ideals Tue Apr 08 18:16:07 2025 reduce to 9302374 relations and 8993710 ideals in 7 passes Tue Apr 08 18:16:07 2025 max relations containing the same ideal: 69 Tue Apr 08 18:16:15 2025 removing 93016 relations and 78569 ideals in 14447 cliques Tue Apr 08 18:16:15 2025 commencing in-memory singleton removal Tue Apr 08 18:16:16 2025 begin with 9209358 relations and 8993710 unique ideals Tue Apr 08 18:16:20 2025 reduce to 9208774 relations and 8914554 ideals in 4 passes Tue Apr 08 18:16:20 2025 max relations containing the same ideal: 68 Tue Apr 08 18:16:22 2025 relations with 0 large ideals: 18213 Tue Apr 08 18:16:22 2025 relations with 1 large ideals: 6247 Tue Apr 08 18:16:22 2025 relations with 2 large ideals: 41996 Tue Apr 08 18:16:22 2025 relations with 3 large ideals: 270485 Tue Apr 08 18:16:22 2025 relations with 4 large ideals: 946686 Tue Apr 08 18:16:22 2025 relations with 5 large ideals: 1949754 Tue Apr 08 18:16:22 2025 relations with 6 large ideals: 2464066 Tue Apr 08 18:16:22 2025 relations with 7+ large ideals: 3511327 Tue Apr 08 18:16:22 2025 commencing 2-way merge Tue Apr 08 18:16:32 2025 reduce to 6054486 relation sets and 5760266 unique ideals Tue Apr 08 18:16:32 2025 commencing full merge Tue Apr 08 18:19:21 2025 memory use: 776.8 MB Tue Apr 08 18:19:23 2025 found 3252434 cycles, need 3212466 Tue Apr 08 18:19:24 2025 weight of 3212466 cycles is about 225298101 (70.13/cycle) Tue Apr 08 18:19:24 2025 distribution of cycle lengths: Tue Apr 08 18:19:24 2025 1 relations: 321678 Tue Apr 08 18:19:24 2025 2 relations: 361083 Tue Apr 08 18:19:24 2025 3 relations: 374011 Tue Apr 08 18:19:24 2025 4 relations: 359302 Tue Apr 08 18:19:24 2025 5 relations: 340183 Tue Apr 08 18:19:24 2025 6 relations: 307260 Tue Apr 08 18:19:24 2025 7 relations: 265865 Tue Apr 08 18:19:24 2025 8 relations: 221264 Tue Apr 08 18:19:24 2025 9 relations: 176930 Tue Apr 08 18:19:24 2025 10+ relations: 484890 Tue Apr 08 18:19:24 2025 heaviest cycle: 21 relations Tue Apr 08 18:19:26 2025 commencing cycle optimization Tue Apr 08 18:19:33 2025 start with 18191236 relations Tue Apr 08 18:20:24 2025 pruned 530339 relations Tue Apr 08 18:20:24 2025 memory use: 568.7 MB Tue Apr 08 18:20:24 2025 distribution of cycle lengths: Tue Apr 08 18:20:24 2025 1 relations: 321678 Tue Apr 08 18:20:24 2025 2 relations: 367611 Tue Apr 08 18:20:24 2025 3 relations: 387019 Tue Apr 08 18:20:24 2025 4 relations: 370308 Tue Apr 08 18:20:24 2025 5 relations: 352695 Tue Apr 08 18:20:24 2025 6 relations: 315803 Tue Apr 08 18:20:24 2025 7 relations: 271729 Tue Apr 08 18:20:24 2025 8 relations: 222228 Tue Apr 08 18:20:24 2025 9 relations: 175587 Tue Apr 08 18:20:24 2025 10+ relations: 427808 Tue Apr 08 18:20:24 2025 heaviest cycle: 21 relations Tue Apr 08 18:20:29 2025 RelProcTime: 1811 Tue Apr 08 18:20:29 2025 Tue Apr 08 18:20:29 2025 commencing linear algebra Tue Apr 08 18:20:30 2025 read 3212466 cycles Tue Apr 08 18:20:37 2025 cycles contain 9047995 unique relations Tue Apr 08 18:22:05 2025 read 9047995 relations Tue Apr 08 18:22:30 2025 using 20 quadratic characters above 536868404 Tue Apr 08 18:23:30 2025 building initial matrix Tue Apr 08 18:26:05 2025 memory use: 1108.5 MB Tue Apr 08 18:26:09 2025 read 3212466 cycles Tue Apr 08 18:26:09 2025 matrix is 3212288 x 3212466 (962.3 MB) with weight 277031025 (86.24/col) Tue Apr 08 18:26:09 2025 sparse part has weight 216915804 (67.52/col) Tue Apr 08 18:26:55 2025 filtering completed in 2 passes Tue Apr 08 18:26:56 2025 matrix is 3211686 x 3211864 (962.2 MB) with weight 277014206 (86.25/col) Tue Apr 08 18:26:56 2025 sparse part has weight 216909728 (67.53/col) Tue Apr 08 18:27:06 2025 matrix starts at (0, 0) Tue Apr 08 18:27:06 2025 matrix is 3211686 x 3211864 (962.2 MB) with weight 277014206 (86.25/col) Tue Apr 08 18:27:06 2025 sparse part has weight 216909728 (67.53/col) Tue Apr 08 18:27:06 2025 saving the first 48 matrix rows for later Tue Apr 08 18:27:08 2025 matrix includes 64 packed rows Tue Apr 08 18:27:08 2025 matrix is 3211638 x 3211864 (916.8 MB) with weight 224328956 (69.84/col) Tue Apr 08 18:27:08 2025 sparse part has weight 208221374 (64.83/col) Tue Apr 08 18:27:08 2025 using block size 65536 for processor cache size 12288 kB Tue Apr 08 18:27:30 2025 commencing Lanczos iteration (8 threads) Tue Apr 08 18:27:30 2025 memory use: 916.1 MB Tue Apr 08 18:27:49 2025 linear algebra at 0.0%, ETA 10h34m Tue Apr 08 18:27:56 2025 checkpointing every 300000 dimensions Wed Apr 09 03:12:09 2025 lanczos halted after 50787 iterations (dim = 3211636) Wed Apr 09 03:12:12 2025 recovered 32 nontrivial dependencies Wed Apr 09 03:12:12 2025 BLanczosTime: 31903 Wed Apr 09 03:12:12 2025 Wed Apr 09 03:12:12 2025 commencing square root phase Wed Apr 09 03:12:12 2025 reading relations for dependency 1 Wed Apr 09 03:12:13 2025 read 1605962 cycles Wed Apr 09 03:12:15 2025 cycles contain 4522252 unique relations Wed Apr 09 03:12:42 2025 read 4522252 relations Wed Apr 09 03:12:58 2025 multiplying 4522252 relations Wed Apr 09 03:15:03 2025 multiply complete, coefficients have about 107.79 million bits Wed Apr 09 03:15:04 2025 initial square root is modulo 54556037 Wed Apr 09 03:17:19 2025 sqrtTime: 307 04/09/25 03:17:20 v1.34.5 @ LAPTOP-QDT9Q606, prp137 = 23699544155166322302916315446010341754807110483097193961709013968140015883662363735594329390692064936445995666417346824433025841731648027 04/09/25 03:17:20 v1.34.5 @ LAPTOP-QDT9Q606, prp65 = 10500910183946189648440782007610118483958352346738901788535169377 04/09/25 03:17:20 v1.34.5 @ LAPTOP-QDT9Q606, NFS elapsed time = 34022.3768 seconds. 04/09/25 03:17:20 v1.34.5 @ LAPTOP-QDT9Q606, 04/09/25 03:17:20 v1.34.5 @ LAPTOP-QDT9Q606,