Tue Mar 17 22:03:20 2026 Tue Mar 17 22:03:20 2026 Tue Mar 17 22:03:20 2026 Msieve v. 1.54 (SVN unknown) Tue Mar 17 22:03:20 2026 random seeds: 4229589c d3f59134 Tue Mar 17 22:03:20 2026 factoring 2677784705213309771156640429945135368858177457484774750681220496948347580920079822645342509341006899170712017356582657121971968139578037140677231136793724228201732549991940984637929176660283123556952730103197237153491552121055249 (229 digits) Tue Mar 17 22:03:20 2026 no P-1/P+1/ECM available, skipping Tue Mar 17 22:03:20 2026 commencing number field sieve (229-digit input) Tue Mar 17 22:03:20 2026 R0: 3413886954321569112810407949768298909789 Tue Mar 17 22:03:20 2026 R1: -1 Tue Mar 17 22:03:20 2026 A0: 1 Tue Mar 17 22:03:20 2026 A1: 1 Tue Mar 17 22:03:20 2026 A2: 1 Tue Mar 17 22:03:20 2026 A3: 1 Tue Mar 17 22:03:20 2026 A4: 1 Tue Mar 17 22:03:20 2026 A5: 1 Tue Mar 17 22:03:20 2026 A6: 1 Tue Mar 17 22:03:20 2026 skew 1.35, size 9.856e-12, alpha 2.428, combined = 6.344e-13 rroots = 0 Tue Mar 17 22:03:20 2026 Tue Mar 17 22:03:20 2026 commencing relation filtering Tue Mar 17 22:03:20 2026 setting target matrix density to 120.0 Tue Mar 17 22:03:20 2026 estimated available RAM is 95911.2 MB Tue Mar 17 22:03:20 2026 commencing duplicate removal, pass 1 Tue Mar 17 22:12:37 2026 Tue Mar 17 22:12:37 2026 Tue Mar 17 22:12:37 2026 Msieve v. 1.54 (SVN unknown) Tue Mar 17 22:12:37 2026 random seeds: 404c00d0 9c169740 Tue Mar 17 22:12:37 2026 factoring 274087323509565688519165730380489746356460381466758571546705651354575973669893520915444168884155759547381940189386036470941279244536189812991998027539867858483978808944130363261714131766359514150963781 (201 digits) Tue Mar 17 22:12:38 2026 no P-1/P+1/ECM available, skipping Tue Mar 17 22:12:38 2026 commencing number field sieve (201-digit input) Tue Mar 17 22:12:38 2026 R0: 303192841929226326245045495760520081202 Tue Mar 17 22:12:38 2026 R1: -17412433544143860601 Tue Mar 17 22:12:38 2026 A0: -1 Tue Mar 17 22:12:38 2026 A1: 3 Tue Mar 17 22:12:38 2026 A2: 6 Tue Mar 17 22:12:38 2026 A3: -4 Tue Mar 17 22:12:38 2026 A4: -5 Tue Mar 17 22:12:38 2026 A5: 1 Tue Mar 17 22:12:38 2026 A6: 1 Tue Mar 17 22:12:38 2026 skew 1.37, size 2.280e-11, alpha 3.126, combined = 1.145e-12 rroots = 6 Tue Mar 17 22:12:38 2026 Tue Mar 17 22:12:38 2026 commencing relation filtering Tue Mar 17 22:12:38 2026 setting target matrix density to 80.0 Tue Mar 17 22:12:38 2026 estimated available RAM is 95911.2 MB Tue Mar 17 22:12:38 2026 commencing duplicate removal, pass 1 Tue Mar 17 22:13:11 2026 error -9 reading relation 7587749 Tue Mar 17 22:13:13 2026 error -15 reading relation 7997164 Tue Mar 17 22:14:15 2026 error -9 reading relation 22038924 Tue Mar 17 22:15:44 2026 error -9 reading relation 40691404 Tue Mar 17 22:15:45 2026 error -1 reading relation 40842182 Tue Mar 17 22:16:08 2026 error -15 reading relation 45592141 Tue Mar 17 22:16:18 2026 error -1 reading relation 47701077 Tue Mar 17 22:16:25 2026 error -9 reading relation 49161416 Tue Mar 17 22:16:32 2026 error -9 reading relation 50669325 Tue Mar 17 22:16:34 2026 error -5 reading relation 51034201 Tue Mar 17 22:17:21 2026 error -9 reading relation 61118194 Tue Mar 17 22:17:50 2026 error -9 reading relation 67160756 Tue Mar 17 22:18:03 2026 error -15 reading relation 69814219 Tue Mar 17 22:18:58 2026 error -9 reading relation 81239423 Tue Mar 17 22:19:02 2026 error -15 reading relation 82164492 Tue Mar 17 22:19:03 2026 error -1 reading relation 82497849 Tue Mar 17 22:19:06 2026 error -1 reading relation 83203552 Tue Mar 17 22:19:08 2026 error -9 reading relation 83694345 Tue Mar 17 22:19:08 2026 error -15 reading relation 83694381 Tue Mar 17 22:19:23 2026 error -15 reading relation 87393125 Tue Mar 17 22:19:24 2026 error -9 reading relation 87449377 Tue Mar 17 22:19:25 2026 error -9 reading relation 87850391 Tue Mar 17 22:19:29 2026 error -15 reading relation 88773673 Tue Mar 17 22:19:32 2026 error -15 reading relation 89484904 Tue Mar 17 22:19:32 2026 error -9 reading relation 89492364 Tue Mar 17 22:19:32 2026 error -9 reading relation 89528696 Tue Mar 17 22:19:33 2026 error -1 reading relation 89659769 Tue Mar 17 22:19:33 2026 error -9 reading relation 89739750 Tue Mar 17 22:19:33 2026 error -9 reading relation 89746916 Tue Mar 17 22:19:38 2026 error -1 reading relation 90758005 Tue Mar 17 22:19:38 2026 error -15 reading relation 90765535 Tue Mar 17 22:20:04 2026 error -5 reading relation 97154244 Tue Mar 17 22:20:19 2026 error -15 reading relation 100683559 Tue Mar 17 22:20:24 2026 error -1 reading relation 101869267 Tue Mar 17 22:20:26 2026 error -9 reading relation 102234309 Tue Mar 17 22:20:26 2026 error -1 reading relation 102236791 Tue Mar 17 22:20:27 2026 error -9 reading relation 102446087 Tue Mar 17 22:20:27 2026 error -1 reading relation 102448424 Tue Mar 17 22:20:38 2026 error -9 reading relation 105271208 Tue Mar 17 22:20:46 2026 error -15 reading relation 107163508 Tue Mar 17 22:20:55 2026 error -1 reading relation 109133142 Tue Mar 17 22:21:06 2026 error -9 reading relation 111493358 Tue Mar 17 22:21:06 2026 error -15 reading relation 111584054 Tue Mar 17 22:21:07 2026 error -9 reading relation 111682814 Tue Mar 17 22:21:44 2026 skipped 3 relations with b > 2^32 Tue Mar 17 22:21:44 2026 skipped 17 relations with composite factors Tue Mar 17 22:21:44 2026 found 22519483 hash collisions in 120826027 relations Tue Mar 17 22:22:02 2026 added 2438358 free relations Tue Mar 17 22:22:02 2026 commencing duplicate removal, pass 2 Tue Mar 17 22:23:28 2026 found 21376534 duplicates and 101887851 unique relations Tue Mar 17 22:23:28 2026 memory use: 660.8 MB Tue Mar 17 22:23:29 2026 reading ideals above 720000 Tue Mar 17 22:23:29 2026 commencing singleton removal, initial pass Tue Mar 17 22:35:04 2026 memory use: 3012.0 MB Tue Mar 17 22:35:04 2026 reading all ideals from disk Tue Mar 17 22:35:06 2026 memory use: 3803.6 MB Tue Mar 17 22:35:17 2026 keeping 109349064 ideals with weight <= 200, target excess is 522359 Tue Mar 17 22:35:34 2026 commencing in-memory singleton removal Tue Mar 17 22:35:43 2026 begin with 101887851 relations and 109349064 unique ideals Tue Mar 17 22:37:37 2026 reduce to 41340408 relations and 39065766 ideals in 20 passes Tue Mar 17 22:37:37 2026 max relations containing the same ideal: 111 Tue Mar 17 22:38:09 2026 removing 4077346 relations and 3677346 ideals in 400000 cliques Tue Mar 17 22:38:11 2026 commencing in-memory singleton removal Tue Mar 17 22:38:14 2026 begin with 37263062 relations and 39065766 unique ideals Tue Mar 17 22:39:00 2026 reduce to 36856562 relations and 34975832 ideals in 11 passes Tue Mar 17 22:39:00 2026 max relations containing the same ideal: 104 Tue Mar 17 22:39:26 2026 removing 3026831 relations and 2626831 ideals in 400000 cliques Tue Mar 17 22:39:27 2026 commencing in-memory singleton removal Tue Mar 17 22:39:30 2026 begin with 33829731 relations and 34975832 unique ideals Tue Mar 17 22:40:05 2026 reduce to 33584809 relations and 32101005 ideals in 10 passes Tue Mar 17 22:40:05 2026 max relations containing the same ideal: 97 Tue Mar 17 22:40:28 2026 removing 2697878 relations and 2297878 ideals in 400000 cliques Tue Mar 17 22:40:29 2026 commencing in-memory singleton removal Tue Mar 17 22:40:32 2026 begin with 30886931 relations and 32101005 unique ideals Tue Mar 17 22:41:03 2026 reduce to 30678565 relations and 29592069 ideals in 10 passes Tue Mar 17 22:41:03 2026 max relations containing the same ideal: 91 Tue Mar 17 22:41:24 2026 removing 2525698 relations and 2125698 ideals in 400000 cliques Tue Mar 17 22:41:25 2026 commencing in-memory singleton removal Tue Mar 17 22:41:27 2026 begin with 28152867 relations and 29592069 unique ideals Tue Mar 17 22:41:49 2026 reduce to 27957519 relations and 27268463 ideals in 8 passes Tue Mar 17 22:41:49 2026 max relations containing the same ideal: 86 Tue Mar 17 22:42:09 2026 removing 687366 relations and 604247 ideals in 83119 cliques Tue Mar 17 22:42:10 2026 commencing in-memory singleton removal Tue Mar 17 22:42:12 2026 begin with 27270153 relations and 27268463 unique ideals Tue Mar 17 22:42:31 2026 reduce to 27256177 relations and 26650203 ideals in 7 passes Tue Mar 17 22:42:31 2026 max relations containing the same ideal: 84 Tue Mar 17 22:42:35 2026 relations with 0 large ideals: 40044 Tue Mar 17 22:42:35 2026 relations with 1 large ideals: 9032 Tue Mar 17 22:42:35 2026 relations with 2 large ideals: 113624 Tue Mar 17 22:42:35 2026 relations with 3 large ideals: 750223 Tue Mar 17 22:42:35 2026 relations with 4 large ideals: 2705615 Tue Mar 17 22:42:35 2026 relations with 5 large ideals: 5740739 Tue Mar 17 22:42:35 2026 relations with 6 large ideals: 7409553 Tue Mar 17 22:42:35 2026 relations with 7+ large ideals: 10487347 Tue Mar 17 22:42:35 2026 commencing 2-way merge Tue Mar 17 22:43:07 2026 reduce to 16108027 relation sets and 15502053 unique ideals Tue Mar 17 22:43:07 2026 commencing full merge Tue Mar 17 22:51:07 2026 memory use: 2005.3 MB Tue Mar 17 22:51:13 2026 found 8088630 cycles, need 8016253 Tue Mar 17 22:51:14 2026 weight of 8016253 cycles is about 641593031 (80.04/cycle) Tue Mar 17 22:51:14 2026 distribution of cycle lengths: Tue Mar 17 22:51:14 2026 1 relations: 1093574 Tue Mar 17 22:51:14 2026 2 relations: 919887 Tue Mar 17 22:51:14 2026 3 relations: 830281 Tue Mar 17 22:51:14 2026 4 relations: 736403 Tue Mar 17 22:51:14 2026 5 relations: 661869 Tue Mar 17 22:51:14 2026 6 relations: 574864 Tue Mar 17 22:51:14 2026 7 relations: 498359 Tue Mar 17 22:51:14 2026 8 relations: 441328 Tue Mar 17 22:51:14 2026 9 relations: 386416 Tue Mar 17 22:51:14 2026 10+ relations: 1873272 Tue Mar 17 22:51:14 2026 heaviest cycle: 27 relations Tue Mar 17 22:51:20 2026 commencing cycle optimization Tue Mar 17 22:51:39 2026 start with 50932182 relations Tue Mar 17 22:54:14 2026 pruned 1204939 relations Tue Mar 17 22:54:14 2026 memory use: 1623.3 MB Tue Mar 17 22:54:14 2026 distribution of cycle lengths: Tue Mar 17 22:54:14 2026 1 relations: 1093574 Tue Mar 17 22:54:14 2026 2 relations: 935494 Tue Mar 17 22:54:14 2026 3 relations: 854598 Tue Mar 17 22:54:14 2026 4 relations: 751821 Tue Mar 17 22:54:14 2026 5 relations: 677045 Tue Mar 17 22:54:14 2026 6 relations: 583130 Tue Mar 17 22:54:14 2026 7 relations: 506365 Tue Mar 17 22:54:14 2026 8 relations: 444155 Tue Mar 17 22:54:14 2026 9 relations: 387754 Tue Mar 17 22:54:14 2026 10+ relations: 1782317 Tue Mar 17 22:54:14 2026 heaviest cycle: 26 relations Tue Mar 17 22:54:32 2026 RelProcTime: 2514 Tue Mar 17 22:54:32 2026 Tue Mar 17 22:54:32 2026 commencing linear algebra Tue Mar 17 22:54:33 2026 read 8016253 cycles Tue Mar 17 22:54:51 2026 cycles contain 26753265 unique relations Tue Mar 17 22:56:26 2026 read 26753265 relations Tue Mar 17 22:57:36 2026 using 20 quadratic characters above 4294917295 Tue Mar 17 22:58:35 2026 building initial matrix Tue Mar 17 23:03:15 2026 memory use: 3142.1 MB Tue Mar 17 23:03:26 2026 read 8016253 cycles Tue Mar 17 23:03:27 2026 matrix is 8016073 x 8016253 (2666.4 MB) with weight 760511475 (94.87/col) Tue Mar 17 23:03:27 2026 sparse part has weight 618819922 (77.20/col) Tue Mar 17 23:05:01 2026 filtering completed in 2 passes Tue Mar 17 23:05:02 2026 matrix is 8009617 x 8009792 (2665.9 MB) with weight 760332960 (94.93/col) Tue Mar 17 23:05:02 2026 sparse part has weight 618757397 (77.25/col) Tue Mar 17 23:05:26 2026 matrix starts at (0, 0) Tue Mar 17 23:05:28 2026 matrix is 8009617 x 8009792 (2665.9 MB) with weight 760332960 (94.93/col) Tue Mar 17 23:05:28 2026 sparse part has weight 618757397 (77.25/col) Tue Mar 17 23:05:28 2026 saving the first 112 matrix rows for later Tue Mar 17 23:05:31 2026 matrix includes 128 packed rows Tue Mar 17 23:05:32 2026 matrix is 8009505 x 8009792 (2502.3 MB) with weight 591021971 (73.79/col) Tue Mar 17 23:05:32 2026 sparse part has weight 559841059 (69.89/col) Tue Mar 17 23:05:32 2026 using block size 8192 and superblock size 9437184 for processor cache size 196608 kB Tue Mar 17 23:05:52 2026 commencing Lanczos iteration (32 threads) Tue Mar 17 23:05:52 2026 memory use: 2944.2 MB Tue Mar 17 23:05:52 2026 VBITS = 128 Tue Mar 17 23:06:04 2026 linear algebra at 0.0%, ETA 15h59m Tue Mar 17 23:06:08 2026 checkpointing every 490000 dimensions Wed Mar 18 09:16:14 2026 lanczos halted after 62950 iterations (dim = 8009503) Wed Mar 18 09:16:20 2026 recovered 34 nontrivial dependencies Wed Mar 18 09:16:21 2026 BLanczosTime: 37309 Wed Mar 18 09:16:21 2026 Wed Mar 18 09:16:21 2026 commencing square root phase Wed Mar 18 09:16:21 2026 handling dependencies 1 to 64 Wed Mar 18 09:16:21 2026 reading relations for dependency 1 Wed Mar 18 09:16:22 2026 read 4005935 cycles Wed Mar 18 09:16:25 2026 cycles contain 13378026 unique relations Wed Mar 18 09:16:53 2026 read 13378026 relations Wed Mar 18 09:17:15 2026 multiplying 13378026 relations Wed Mar 18 09:20:40 2026 multiply complete, coefficients have about 322.90 million bits Wed Mar 18 09:20:42 2026 initial square root is modulo 622187 Wed Mar 18 09:27:58 2026 sqrtTime: 697 Wed Mar 18 09:27:58 2026 p59 factor: 28288941922639733107545921394076248992252806535021429735427 Wed Mar 18 09:27:58 2026 p142 factor: 9688850302676492242631543160690732098787901734923129743338102993015792195262099232699995175580615019781885755089071233930374297744353717972503 Wed Mar 18 09:27:58 2026 elapsed time 11:15:21