Wed Oct 8 10:39:44 2025 Wed Oct 8 10:39:44 2025 Wed Oct 8 10:39:44 2025 Msieve v. 1.54 (SVN Unversioned directory) Wed Oct 8 10:39:44 2025 random seeds: 87d2e429 7f06b4a4 Wed Oct 8 10:39:44 2025 factoring 4692030368067355777976824939686201405619018418250906400892533263592128753963596660579809172762293312052743750369563350326313010244549763929002392056339623174324779526499384327230296757353661563179236087129715765920211 (217 digits) Wed Oct 8 10:39:46 2025 searching for 15-digit factors Wed Oct 8 10:39:47 2025 commencing number field sieve (217-digit input) Wed Oct 8 10:39:47 2025 R0: 1165629162115376413290852273042278262621858890 Wed Oct 8 10:39:47 2025 R1: -34141311663663076277917 Wed Oct 8 10:39:47 2025 A0: 1 Wed Oct 8 10:39:47 2025 A1: 3 Wed Oct 8 10:39:47 2025 A2: -3 Wed Oct 8 10:39:47 2025 A3: -4 Wed Oct 8 10:39:47 2025 A4: 1 Wed Oct 8 10:39:47 2025 A5: 1 Wed Oct 8 10:39:47 2025 skew 1.47, size 2.417e-15, alpha 2.379, combined = 1.696e-12 rroots = 5 Wed Oct 8 10:39:47 2025 Wed Oct 8 10:39:47 2025 commencing relation filtering Wed Oct 8 10:39:47 2025 setting target matrix density to 108.0 Wed Oct 8 10:39:47 2025 estimated available RAM is 15938.6 MB Wed Oct 8 10:39:47 2025 commencing duplicate removal, pass 1 Wed Oct 8 10:58:25 2025 skipped 14 relations with b > 2^32 Wed Oct 8 10:58:25 2025 found 4790114 hash collisions in 104737249 relations Wed Oct 8 10:58:38 2025 added 2926300 free relations Wed Oct 8 10:58:38 2025 commencing duplicate removal, pass 2 Wed Oct 8 10:59:35 2025 found 0 duplicates and 107663549 unique relations Wed Oct 8 10:59:35 2025 memory use: 261.2 MB Wed Oct 8 10:59:35 2025 reading ideals above 56033280 Wed Oct 8 10:59:35 2025 commencing singleton removal, initial pass Wed Oct 8 11:15:50 2025 memory use: 2756.0 MB Wed Oct 8 11:15:51 2025 reading all ideals from disk Wed Oct 8 11:15:56 2025 memory use: 2037.5 MB Wed Oct 8 11:16:06 2025 commencing in-memory singleton removal Wed Oct 8 11:16:16 2025 begin with 107663549 relations and 86455999 unique ideals Wed Oct 8 11:17:55 2025 reduce to 76974767 relations and 53101998 ideals in 12 passes Wed Oct 8 11:17:55 2025 max relations containing the same ideal: 31 Wed Oct 8 11:18:05 2025 reading ideals above 720000 Wed Oct 8 11:18:05 2025 commencing singleton removal, initial pass Wed Oct 8 11:33:08 2025 memory use: 1506.0 MB Wed Oct 8 11:33:08 2025 reading all ideals from disk Wed Oct 8 11:33:16 2025 memory use: 2870.7 MB Wed Oct 8 11:33:31 2025 keeping 59408432 ideals with weight <= 200, target excess is 373840 Wed Oct 8 11:33:47 2025 commencing in-memory singleton removal Wed Oct 8 11:33:59 2025 begin with 76974768 relations and 59408432 unique ideals Wed Oct 8 11:34:27 2025 reduce to 76974765 relations and 59408427 ideals in 2 passes Wed Oct 8 11:34:27 2025 max relations containing the same ideal: 200 Wed Oct 8 11:35:29 2025 removing 8034511 relations and 6034511 ideals in 2000000 cliques Wed Oct 8 11:35:34 2025 commencing in-memory singleton removal Wed Oct 8 11:35:44 2025 begin with 68940254 relations and 59408427 unique ideals Wed Oct 8 11:37:19 2025 reduce to 68209037 relations and 52618887 ideals in 8 passes Wed Oct 8 11:37:19 2025 max relations containing the same ideal: 193 Wed Oct 8 11:38:16 2025 removing 6505978 relations and 4505978 ideals in 2000000 cliques Wed Oct 8 11:38:20 2025 commencing in-memory singleton removal Wed Oct 8 11:38:30 2025 begin with 61703059 relations and 52618887 unique ideals Wed Oct 8 11:39:52 2025 reduce to 61187187 relations and 47581491 ideals in 8 passes Wed Oct 8 11:39:52 2025 max relations containing the same ideal: 181 Wed Oct 8 11:40:43 2025 removing 6091188 relations and 4091188 ideals in 2000000 cliques Wed Oct 8 11:40:48 2025 commencing in-memory singleton removal Wed Oct 8 11:40:56 2025 begin with 55095999 relations and 47581491 unique ideals Wed Oct 8 11:41:58 2025 reduce to 54621482 relations and 43001035 ideals in 7 passes Wed Oct 8 11:41:58 2025 max relations containing the same ideal: 170 Wed Oct 8 11:42:42 2025 removing 5896050 relations and 3896050 ideals in 2000000 cliques Wed Oct 8 11:42:46 2025 commencing in-memory singleton removal Wed Oct 8 11:42:53 2025 begin with 48725432 relations and 43001035 unique ideals Wed Oct 8 11:43:49 2025 reduce to 48244976 relations and 38608571 ideals in 7 passes Wed Oct 8 11:43:49 2025 max relations containing the same ideal: 156 Wed Oct 8 11:44:28 2025 removing 5799808 relations and 3799808 ideals in 2000000 cliques Wed Oct 8 11:44:31 2025 commencing in-memory singleton removal Wed Oct 8 11:44:37 2025 begin with 42445168 relations and 38608571 unique ideals Wed Oct 8 11:45:25 2025 reduce to 41933094 relations and 34277720 ideals in 7 passes Wed Oct 8 11:45:25 2025 max relations containing the same ideal: 144 Wed Oct 8 11:46:01 2025 removing 5765808 relations and 3765808 ideals in 2000000 cliques Wed Oct 8 11:46:04 2025 commencing in-memory singleton removal Wed Oct 8 11:46:09 2025 begin with 36167286 relations and 34277720 unique ideals Wed Oct 8 11:46:47 2025 reduce to 35592531 relations and 29912889 ideals in 7 passes Wed Oct 8 11:46:47 2025 max relations containing the same ideal: 129 Wed Oct 8 11:47:17 2025 removing 5783689 relations and 3783689 ideals in 2000000 cliques Wed Oct 8 11:47:20 2025 commencing in-memory singleton removal Wed Oct 8 11:47:24 2025 begin with 29808842 relations and 29912889 unique ideals Wed Oct 8 11:48:04 2025 reduce to 29123019 relations and 25409443 ideals in 8 passes Wed Oct 8 11:48:04 2025 max relations containing the same ideal: 113 Wed Oct 8 11:48:27 2025 removing 5854514 relations and 3854514 ideals in 2000000 cliques Wed Oct 8 11:48:30 2025 commencing in-memory singleton removal Wed Oct 8 11:48:34 2025 begin with 23268505 relations and 25409443 unique ideals Wed Oct 8 11:49:07 2025 reduce to 22392225 relations and 20625248 ideals in 9 passes Wed Oct 8 11:49:07 2025 max relations containing the same ideal: 95 Wed Oct 8 11:49:27 2025 removing 4320389 relations and 2987067 ideals in 1333322 cliques Wed Oct 8 11:49:29 2025 commencing in-memory singleton removal Wed Oct 8 11:49:32 2025 begin with 18071836 relations and 20625248 unique ideals Wed Oct 8 11:49:55 2025 reduce to 17389548 relations and 16917872 ideals in 8 passes Wed Oct 8 11:49:55 2025 max relations containing the same ideal: 77 Wed Oct 8 11:50:11 2025 removing 256667 relations and 218646 ideals in 38021 cliques Wed Oct 8 11:50:12 2025 commencing in-memory singleton removal Wed Oct 8 11:50:15 2025 begin with 17132881 relations and 16917872 unique ideals Wed Oct 8 11:50:31 2025 reduce to 17130026 relations and 16696365 ideals in 6 passes Wed Oct 8 11:50:31 2025 max relations containing the same ideal: 76 Wed Oct 8 11:50:36 2025 relations with 0 large ideals: 30997 Wed Oct 8 11:50:36 2025 relations with 1 large ideals: 4639 Wed Oct 8 11:50:36 2025 relations with 2 large ideals: 54396 Wed Oct 8 11:50:36 2025 relations with 3 large ideals: 381787 Wed Oct 8 11:50:36 2025 relations with 4 large ideals: 1451300 Wed Oct 8 11:50:36 2025 relations with 5 large ideals: 3267394 Wed Oct 8 11:50:36 2025 relations with 6 large ideals: 5143627 Wed Oct 8 11:50:36 2025 relations with 7+ large ideals: 6795886 Wed Oct 8 11:50:36 2025 commencing 2-way merge Wed Oct 8 11:50:56 2025 reduce to 11125717 relation sets and 10692056 unique ideals Wed Oct 8 11:50:56 2025 commencing full merge Wed Oct 8 11:59:08 2025 memory use: 1489.3 MB Wed Oct 8 11:59:10 2025 found 5075839 cycles, need 5074256 Wed Oct 8 11:59:12 2025 weight of 5074256 cycles is about 548330257 (108.06/cycle) Wed Oct 8 11:59:12 2025 distribution of cycle lengths: Wed Oct 8 11:59:12 2025 1 relations: 308900 Wed Oct 8 11:59:12 2025 2 relations: 355801 Wed Oct 8 11:59:12 2025 3 relations: 373556 Wed Oct 8 11:59:12 2025 4 relations: 371362 Wed Oct 8 11:59:12 2025 5 relations: 370034 Wed Oct 8 11:59:12 2025 6 relations: 359748 Wed Oct 8 11:59:12 2025 7 relations: 349652 Wed Oct 8 11:59:12 2025 8 relations: 329076 Wed Oct 8 11:59:12 2025 9 relations: 307806 Wed Oct 8 11:59:12 2025 10+ relations: 1948321 Wed Oct 8 11:59:12 2025 heaviest cycle: 28 relations Wed Oct 8 11:59:15 2025 commencing cycle optimization Wed Oct 8 11:59:35 2025 start with 44272941 relations Wed Oct 8 12:02:17 2025 pruned 2019983 relations Wed Oct 8 12:02:17 2025 memory use: 1162.0 MB Wed Oct 8 12:02:18 2025 distribution of cycle lengths: Wed Oct 8 12:02:18 2025 1 relations: 308900 Wed Oct 8 12:02:18 2025 2 relations: 362557 Wed Oct 8 12:02:18 2025 3 relations: 387162 Wed Oct 8 12:02:18 2025 4 relations: 385397 Wed Oct 8 12:02:18 2025 5 relations: 387689 Wed Oct 8 12:02:18 2025 6 relations: 377290 Wed Oct 8 12:02:18 2025 7 relations: 368070 Wed Oct 8 12:02:18 2025 8 relations: 344800 Wed Oct 8 12:02:18 2025 9 relations: 321593 Wed Oct 8 12:02:18 2025 10+ relations: 1830798 Wed Oct 8 12:02:18 2025 heaviest cycle: 28 relations Wed Oct 8 12:02:31 2025 RelProcTime: 4964 Wed Oct 8 12:02:31 2025 Wed Oct 8 12:02:31 2025 commencing linear algebra Wed Oct 8 12:02:31 2025 using VBITS=512 Wed Oct 8 12:02:31 2025 read 5074256 cycles Wed Oct 8 12:02:47 2025 cycles contain 16877011 unique relations Wed Oct 8 12:04:53 2025 read 16877011 relations Wed Oct 8 12:05:32 2025 using 20 quadratic characters above 4294917295 Wed Oct 8 12:07:01 2025 building initial matrix Wed Oct 8 12:11:18 2025 memory use: 2027.0 MB Wed Oct 8 12:11:21 2025 read 5074256 cycles Wed Oct 8 12:11:21 2025 matrix is 5074079 x 5074256 (2171.5 MB) with weight 620545816 (122.29/col) Wed Oct 8 12:11:21 2025 sparse part has weight 513434335 (101.18/col) Wed Oct 8 12:12:30 2025 filtering completed in 2 passes Wed Oct 8 12:12:31 2025 matrix is 5074018 x 5074156 (2171.5 MB) with weight 620543317 (122.29/col) Wed Oct 8 12:12:31 2025 sparse part has weight 513433675 (101.19/col) Wed Oct 8 12:12:53 2025 matrix starts at (0, 0) Wed Oct 8 12:12:54 2025 matrix is 5074018 x 5074156 (2171.5 MB) with weight 620543317 (122.29/col) Wed Oct 8 12:12:54 2025 sparse part has weight 513433675 (101.19/col) Wed Oct 8 12:12:54 2025 saving the first 496 matrix rows for later Wed Oct 8 12:12:56 2025 matrix includes 512 packed rows Wed Oct 8 12:13:03 2025 matrix is 5073522 x 5074156 (2055.0 MB) with weight 441269819 (86.96/col) Wed Oct 8 12:13:03 2025 sparse part has weight 416915351 (82.16/col) Wed Oct 8 12:40:25 2025 Wed Oct 8 12:40:25 2025 Wed Oct 8 12:40:25 2025 Msieve v. 1.54 (SVN unknown) Wed Oct 8 12:40:25 2025 random seeds: ec34db6a bcc1f149 Wed Oct 8 12:40:25 2025 factoring 4692030368067355777976824939686201405619018418250906400892533263592128753963596660579809172762293312052743750369563350326313010244549763929002392056339623174324779526499384327230296757353661563179236087129715765920211 (217 digits) Wed Oct 8 12:40:26 2025 no P-1/P+1/ECM available, skipping Wed Oct 8 12:40:26 2025 commencing number field sieve (217-digit input) Wed Oct 8 12:40:26 2025 R0: 1165629162115376413290852273042278262621858890 Wed Oct 8 12:40:26 2025 R1: -34141311663663076277917 Wed Oct 8 12:40:26 2025 A0: 1 Wed Oct 8 12:40:26 2025 A1: 3 Wed Oct 8 12:40:26 2025 A2: -3 Wed Oct 8 12:40:26 2025 A3: -4 Wed Oct 8 12:40:26 2025 A4: 1 Wed Oct 8 12:40:26 2025 A5: 1 Wed Oct 8 12:40:26 2025 skew 1.47, size 2.417e-15, alpha 2.379, combined = 1.696e-12 rroots = 5 Wed Oct 8 12:40:26 2025 Wed Oct 8 12:40:26 2025 commencing linear algebra Wed Oct 8 12:40:26 2025 using VBITS=512 Wed Oct 8 12:40:26 2025 skipping matrix build Wed Oct 8 12:40:27 2025 matrix starts at (0, 0) Wed Oct 8 12:40:28 2025 matrix is 5074018 x 5074156 (2171.5 MB) with weight 620543317 (122.29/col) Wed Oct 8 12:40:28 2025 sparse part has weight 513433675 (101.19/col) Wed Oct 8 12:40:28 2025 saving the first 496 matrix rows for later Wed Oct 8 12:40:29 2025 matrix includes 512 packed rows Wed Oct 8 12:40:33 2025 matrix is 5073522 x 5074156 (2055.0 MB) with weight 441269819 (86.96/col) Wed Oct 8 12:40:33 2025 sparse part has weight 416915351 (82.16/col) Wed Oct 8 12:40:33 2025 using GPU 0 (NVIDIA GeForce RTX 3060) Wed Oct 8 12:40:33 2025 selected card has CUDA arch 8.6 Wed Oct 8 12:41:00 2025 commencing Lanczos iteration Wed Oct 8 12:41:01 2025 memory use: 5697.2 MB Wed Oct 8 12:41:19 2025 linear algebra at 0.3%, ETA 1h38m Wed Oct 8 12:41:19 2025 checkpointing every 3180000 dimensions Wed Oct 8 14:29:00 2025 lanczos halted after 9926 iterations (dim = 5073519) Wed Oct 8 14:30:02 2025 recovered 32 nontrivial dependencies Wed Oct 8 14:30:02 2025 BLanczosTime: 6576 Wed Oct 8 14:30:02 2025 Wed Oct 8 14:30:02 2025 commencing square root phase Wed Oct 8 14:30:02 2025 handling dependencies 1 to 64 Wed Oct 8 14:30:02 2025 reading relations for dependency 1 Wed Oct 8 14:30:03 2025 read 2537562 cycles Wed Oct 8 14:30:07 2025 cycles contain 8441072 unique relations Wed Oct 8 14:30:47 2025 read 8441072 relations Wed Oct 8 14:31:15 2025 multiplying 8441072 relations Wed Oct 8 14:34:03 2025 multiply complete, coefficients have about 206.50 million bits Wed Oct 8 14:34:04 2025 initial square root is modulo 25737937 Wed Oct 8 14:37:24 2025 sqrtTime: 442 Wed Oct 8 14:37:24 2025 p104 factor: 17570515374339581707695294866272503879928274945648425754436483955229319040250238098106502131215515832513 Wed Oct 8 14:37:24 2025 p114 factor: 267039996727683571239171791842442442458059461320390804692141808930210136364443530380917655951708878055208562041747 Wed Oct 8 14:37:24 2025 elapsed time 01:56:59