Tue Jun 16 06:30:48 2026 Msieve v. 1.54 (SVN 1018) Tue Jun 16 06:30:48 2026 random seeds: d860f188 adf8ada8 Tue Jun 16 06:30:48 2026 factoring 2908569969368791505135274828322962267896447025608470798476532228538716848281224911055631486783166711215691303183267922710269713272494393661248285220548073185096298160494103775481565034866758860235501053587395638609566010247768185265330812988713837 (247 digits) Tue Jun 16 06:30:49 2026 searching for 15-digit factors Tue Jun 16 06:30:50 2026 commencing number field sieve (247-digit input) Tue Jun 16 06:30:50 2026 R0: 466875157491968618105180914998570560031555584 Tue Jun 16 06:30:50 2026 R1: -67762635780344027125465800054371356964111328125 Tue Jun 16 06:30:50 2026 A0: 134 Tue Jun 16 06:30:50 2026 A1: 0 Tue Jun 16 06:30:50 2026 A2: 0 Tue Jun 16 06:30:50 2026 A3: 0 Tue Jun 16 06:30:50 2026 A4: 0 Tue Jun 16 06:30:50 2026 A5: 0 Tue Jun 16 06:30:50 2026 A6: 1 Tue Jun 16 06:30:50 2026 skew 1.32, size 5.651e-014, alpha 0.901, combined = 1.317e-014 rroots = 0 Tue Jun 16 06:30:50 2026 Tue Jun 16 06:30:50 2026 commencing relation filtering Tue Jun 16 06:30:50 2026 setting target matrix density to 110.0 Tue Jun 16 06:30:50 2026 estimated available RAM is 130978.7 MB Tue Jun 16 06:30:50 2026 commencing duplicate removal, pass 1 Tue Jun 16 07:11:01 2026 error -15 reading relation 312798127 Tue Jun 16 07:11:09 2026 error -5 reading relation 313839991 Tue Jun 16 07:11:22 2026 error -15 reading relation 315589515 Tue Jun 16 07:15:42 2026 error -15 reading relation 349545779 Tue Jun 16 07:19:12 2026 error -1 reading relation 377387176 Tue Jun 16 07:23:58 2026 error -15 reading relation 416275905 Tue Jun 16 07:27:23 2026 error -15 reading relation 443348303 Tue Jun 16 07:38:51 2026 error -15 reading relation 534229776 Tue Jun 16 07:39:01 2026 error -15 reading relation 535639121 Tue Jun 16 07:40:25 2026 error -5 reading relation 546797085 Tue Jun 16 07:43:54 2026 error -11 reading relation 574537657 Tue Jun 16 07:44:10 2026 error -5 reading relation 576698355 Tue Jun 16 07:44:12 2026 error -15 reading relation 577019462 Tue Jun 16 07:54:55 2026 skipped 4844 relations with b > 2^32 Tue Jun 16 07:54:55 2026 skipped 2 relations with composite factors Tue Jun 16 07:54:55 2026 found 84315097 hash collisions in 663422141 relations Tue Jun 16 07:55:12 2026 commencing duplicate removal, pass 2 Tue Jun 16 08:01:38 2026 found 3 duplicates and 663422138 unique relations Tue Jun 16 08:01:38 2026 memory use: 4262.0 MB Tue Jun 16 08:01:39 2026 reading ideals above 283312128 Tue Jun 16 08:01:39 2026 commencing singleton removal, initial pass Tue Jun 16 09:07:25 2026 memory use: 11024.0 MB Tue Jun 16 09:07:26 2026 reading all ideals from disk Tue Jun 16 09:07:33 2026 memory use: 13024.8 MB Tue Jun 16 09:08:26 2026 commencing in-memory singleton removal Tue Jun 16 09:09:18 2026 begin with 663422138 relations and 607398020 unique ideals Tue Jun 16 09:18:49 2026 reduce to 395143552 relations and 309255625 ideals in 17 passes Tue Jun 16 09:18:50 2026 max relations containing the same ideal: 34 Tue Jun 16 09:19:44 2026 reading ideals above 720000 Tue Jun 16 09:19:45 2026 commencing singleton removal, initial pass Tue Jun 16 10:13:13 2026 memory use: 11024.0 MB Tue Jun 16 10:13:14 2026 reading all ideals from disk Tue Jun 16 10:13:24 2026 memory use: 17098.8 MB Tue Jun 16 10:14:51 2026 keeping 337965857 ideals with weight <= 200, target excess is 2077678 Tue Jun 16 10:16:19 2026 commencing in-memory singleton removal Tue Jun 16 10:17:21 2026 begin with 395143552 relations and 337965857 unique ideals Tue Jun 16 10:22:14 2026 reduce to 395143456 relations and 337965761 ideals in 5 passes Tue Jun 16 10:22:15 2026 max relations containing the same ideal: 200 Tue Jun 16 10:26:57 2026 removing 17343050 relations and 15343050 ideals in 2000000 cliques Tue Jun 16 10:27:05 2026 commencing in-memory singleton removal Tue Jun 16 10:28:04 2026 begin with 377800406 relations and 337965761 unique ideals Tue Jun 16 10:36:30 2026 reduce to 377193006 relations and 322010643 ideals in 9 passes Tue Jun 16 10:36:31 2026 max relations containing the same ideal: 200 Tue Jun 16 10:40:59 2026 removing 12909235 relations and 10909235 ideals in 2000000 cliques Tue Jun 16 10:41:07 2026 commencing in-memory singleton removal Tue Jun 16 10:42:03 2026 begin with 364283771 relations and 322010643 unique ideals Tue Jun 16 10:50:09 2026 reduce to 363915222 relations and 310730604 ideals in 9 passes Tue Jun 16 10:50:10 2026 max relations containing the same ideal: 199 Tue Jun 16 10:54:30 2026 removing 11505166 relations and 9505166 ideals in 2000000 cliques Tue Jun 16 10:54:36 2026 commencing in-memory singleton removal Tue Jun 16 10:55:31 2026 begin with 352410056 relations and 310730604 unique ideals Tue Jun 16 11:03:20 2026 reduce to 352103090 relations and 300916656 ideals in 9 passes Tue Jun 16 11:03:21 2026 max relations containing the same ideal: 194 Tue Jun 16 11:07:33 2026 removing 10716372 relations and 8716372 ideals in 2000000 cliques Tue Jun 16 11:07:40 2026 commencing in-memory singleton removal Tue Jun 16 11:08:32 2026 begin with 341386718 relations and 300916656 unique ideals Tue Jun 16 11:16:11 2026 reduce to 341109691 relations and 291921639 ideals in 9 passes Tue Jun 16 11:16:11 2026 max relations containing the same ideal: 191 Tue Jun 16 11:20:17 2026 removing 10187675 relations and 8187675 ideals in 2000000 cliques Tue Jun 16 11:20:23 2026 commencing in-memory singleton removal Tue Jun 16 11:21:20 2026 begin with 330922016 relations and 291921639 unique ideals Tue Jun 16 11:27:31 2026 reduce to 330663507 relations and 283473932 ideals in 7 passes Tue Jun 16 11:27:32 2026 max relations containing the same ideal: 189 Tue Jun 16 11:31:41 2026 removing 9806124 relations and 7806124 ideals in 2000000 cliques Tue Jun 16 11:31:47 2026 commencing in-memory singleton removal Tue Jun 16 11:32:46 2026 begin with 320857383 relations and 283473932 unique ideals Tue Jun 16 11:39:15 2026 reduce to 320610090 relations and 275418994 ideals in 7 passes Tue Jun 16 11:39:15 2026 max relations containing the same ideal: 185 Tue Jun 16 11:43:35 2026 removing 9517799 relations and 7517799 ideals in 2000000 cliques Tue Jun 16 11:43:41 2026 commencing in-memory singleton removal Tue Jun 16 11:44:38 2026 begin with 311092291 relations and 275418994 unique ideals Tue Jun 16 11:50:50 2026 reduce to 310852556 relations and 267660071 ideals in 7 passes Tue Jun 16 11:50:51 2026 max relations containing the same ideal: 181 Tue Jun 16 11:55:03 2026 removing 9289309 relations and 7289309 ideals in 2000000 cliques Tue Jun 16 11:55:09 2026 commencing in-memory singleton removal Tue Jun 16 11:56:04 2026 begin with 301563247 relations and 267660071 unique ideals Tue Jun 16 12:02:58 2026 reduce to 301326163 relations and 260132253 ideals in 8 passes Tue Jun 16 12:02:59 2026 max relations containing the same ideal: 177 Tue Jun 16 12:07:04 2026 removing 9109988 relations and 7109988 ideals in 2000000 cliques Tue Jun 16 12:07:09 2026 commencing in-memory singleton removal Tue Jun 16 12:08:01 2026 begin with 292216175 relations and 260132253 unique ideals Tue Jun 16 12:14:42 2026 reduce to 291982845 relations and 252787468 ideals in 8 passes Tue Jun 16 12:14:42 2026 max relations containing the same ideal: 176 Tue Jun 16 12:18:38 2026 removing 8962010 relations and 6962010 ideals in 2000000 cliques Tue Jun 16 12:18:43 2026 commencing in-memory singleton removal Tue Jun 16 12:19:33 2026 begin with 283020835 relations and 252787468 unique ideals Tue Jun 16 12:25:07 2026 reduce to 282787651 relations and 245590774 ideals in 7 passes Tue Jun 16 12:25:07 2026 max relations containing the same ideal: 171 Tue Jun 16 12:28:52 2026 removing 8843576 relations and 6843576 ideals in 2000000 cliques Tue Jun 16 12:28:58 2026 commencing in-memory singleton removal Tue Jun 16 12:29:45 2026 begin with 273944075 relations and 245590774 unique ideals Tue Jun 16 12:35:04 2026 reduce to 273709815 relations and 238511418 ideals in 7 passes Tue Jun 16 12:35:04 2026 max relations containing the same ideal: 170 Tue Jun 16 12:38:40 2026 removing 8749091 relations and 6749091 ideals in 2000000 cliques Tue Jun 16 12:38:45 2026 commencing in-memory singleton removal Tue Jun 16 12:39:30 2026 begin with 264960724 relations and 238511418 unique ideals Tue Jun 16 12:44:32 2026 reduce to 264723953 relations and 231523975 ideals in 7 passes Tue Jun 16 12:44:33 2026 max relations containing the same ideal: 167 Tue Jun 16 12:48:01 2026 removing 8672597 relations and 6672597 ideals in 2000000 cliques Tue Jun 16 12:48:07 2026 commencing in-memory singleton removal Tue Jun 16 12:48:51 2026 begin with 256051356 relations and 231523975 unique ideals Tue Jun 16 12:53:52 2026 reduce to 255810850 relations and 224609225 ideals in 7 passes Tue Jun 16 12:53:52 2026 max relations containing the same ideal: 165 Tue Jun 16 12:57:16 2026 removing 8611677 relations and 6611677 ideals in 2000000 cliques Tue Jun 16 12:57:21 2026 commencing in-memory singleton removal Tue Jun 16 12:58:02 2026 begin with 247199173 relations and 224609225 unique ideals Tue Jun 16 13:03:18 2026 reduce to 246955239 relations and 217751900 ideals in 8 passes Tue Jun 16 13:03:19 2026 max relations containing the same ideal: 163 Tue Jun 16 13:06:33 2026 removing 8570256 relations and 6570256 ideals in 2000000 cliques Tue Jun 16 13:06:38 2026 commencing in-memory singleton removal Tue Jun 16 13:07:18 2026 begin with 238384983 relations and 217751900 unique ideals Tue Jun 16 13:11:43 2026 reduce to 238133988 relations and 210928770 ideals in 7 passes Tue Jun 16 13:11:44 2026 max relations containing the same ideal: 160 Tue Jun 16 13:14:50 2026 removing 8540048 relations and 6540048 ideals in 2000000 cliques Tue Jun 16 13:14:55 2026 commencing in-memory singleton removal Tue Jun 16 13:15:34 2026 begin with 229593940 relations and 210928770 unique ideals Tue Jun 16 13:19:53 2026 reduce to 229337367 relations and 204130185 ideals in 7 passes Tue Jun 16 13:19:54 2026 max relations containing the same ideal: 155 Tue Jun 16 13:22:54 2026 removing 8521135 relations and 6521135 ideals in 2000000 cliques Tue Jun 16 13:22:59 2026 commencing in-memory singleton removal Tue Jun 16 13:23:35 2026 begin with 220816232 relations and 204130185 unique ideals Tue Jun 16 13:27:35 2026 reduce to 220550929 relations and 197341677 ideals in 7 passes Tue Jun 16 13:27:35 2026 max relations containing the same ideal: 147 Tue Jun 16 13:30:27 2026 removing 8519888 relations and 6519888 ideals in 2000000 cliques Tue Jun 16 13:30:31 2026 commencing in-memory singleton removal Tue Jun 16 13:31:06 2026 begin with 212031041 relations and 197341677 unique ideals Tue Jun 16 13:34:56 2026 reduce to 211756971 relations and 190545416 ideals in 7 passes Tue Jun 16 13:34:57 2026 max relations containing the same ideal: 144 Tue Jun 16 13:37:43 2026 removing 8524473 relations and 6524473 ideals in 2000000 cliques Tue Jun 16 13:37:48 2026 commencing in-memory singleton removal Tue Jun 16 13:38:20 2026 begin with 203232498 relations and 190545416 unique ideals Tue Jun 16 13:42:29 2026 reduce to 202945291 relations and 183731225 ideals in 8 passes Tue Jun 16 13:42:29 2026 max relations containing the same ideal: 141 Tue Jun 16 13:45:06 2026 removing 8538624 relations and 6538624 ideals in 2000000 cliques Tue Jun 16 13:45:11 2026 commencing in-memory singleton removal Tue Jun 16 13:45:41 2026 begin with 194406667 relations and 183731225 unique ideals Tue Jun 16 13:49:08 2026 reduce to 194106687 relations and 176889957 ideals in 7 passes Tue Jun 16 13:49:09 2026 max relations containing the same ideal: 133 Tue Jun 16 13:51:41 2026 removing 8565878 relations and 6565878 ideals in 2000000 cliques Tue Jun 16 13:51:45 2026 commencing in-memory singleton removal Tue Jun 16 13:52:14 2026 begin with 185540809 relations and 176889957 unique ideals Tue Jun 16 13:55:31 2026 reduce to 185224355 relations and 170004753 ideals in 7 passes Tue Jun 16 13:55:31 2026 max relations containing the same ideal: 128 Tue Jun 16 13:57:54 2026 removing 8608025 relations and 6608025 ideals in 2000000 cliques Tue Jun 16 13:57:58 2026 commencing in-memory singleton removal Tue Jun 16 13:58:26 2026 begin with 176616330 relations and 170004753 unique ideals Tue Jun 16 14:01:31 2026 reduce to 176282035 relations and 163059313 ideals in 7 passes Tue Jun 16 14:01:31 2026 max relations containing the same ideal: 126 Tue Jun 16 14:03:47 2026 removing 8654491 relations and 6654491 ideals in 2000000 cliques Tue Jun 16 14:03:51 2026 commencing in-memory singleton removal Tue Jun 16 14:04:17 2026 begin with 167627544 relations and 163059313 unique ideals Tue Jun 16 14:08:28 2026 reduce to 167271601 relations and 156045322 ideals in 10 passes Tue Jun 16 14:08:28 2026 max relations containing the same ideal: 121 Tue Jun 16 14:10:38 2026 removing 8721763 relations and 6721763 ideals in 2000000 cliques Tue Jun 16 14:10:42 2026 commencing in-memory singleton removal Tue Jun 16 14:11:06 2026 begin with 158549838 relations and 156045322 unique ideals Tue Jun 16 14:14:15 2026 reduce to 158167158 relations and 148936886 ideals in 8 passes Tue Jun 16 14:14:15 2026 max relations containing the same ideal: 116 Tue Jun 16 14:16:18 2026 removing 8805568 relations and 6805568 ideals in 2000000 cliques Tue Jun 16 14:16:22 2026 commencing in-memory singleton removal Tue Jun 16 14:16:45 2026 begin with 149361590 relations and 148936886 unique ideals Tue Jun 16 14:19:43 2026 reduce to 148952070 relations and 141717447 ideals in 8 passes Tue Jun 16 14:19:43 2026 max relations containing the same ideal: 113 Tue Jun 16 14:21:38 2026 removing 8906611 relations and 6906611 ideals in 2000000 cliques Tue Jun 16 14:21:42 2026 commencing in-memory singleton removal Tue Jun 16 14:22:03 2026 begin with 140045459 relations and 141717447 unique ideals Tue Jun 16 14:24:26 2026 reduce to 139595931 relations and 134356165 ideals in 7 passes Tue Jun 16 14:24:26 2026 max relations containing the same ideal: 108 Tue Jun 16 14:26:14 2026 removing 9024816 relations and 7024816 ideals in 2000000 cliques Tue Jun 16 14:26:18 2026 commencing in-memory singleton removal Tue Jun 16 14:26:37 2026 begin with 130571115 relations and 134356165 unique ideals Tue Jun 16 14:29:09 2026 reduce to 130077949 relations and 126832265 ideals in 8 passes Tue Jun 16 14:29:09 2026 max relations containing the same ideal: 105 Tue Jun 16 14:30:49 2026 removing 4537830 relations and 3702253 ideals in 835577 cliques Tue Jun 16 14:30:53 2026 commencing in-memory singleton removal Tue Jun 16 14:31:11 2026 begin with 125540119 relations and 126832265 unique ideals Tue Jun 16 14:33:18 2026 reduce to 125416631 relations and 123005847 ideals in 7 passes Tue Jun 16 14:33:18 2026 max relations containing the same ideal: 103 Tue Jun 16 14:35:12 2026 relations with 0 large ideals: 77633 Tue Jun 16 14:35:12 2026 relations with 1 large ideals: 35459 Tue Jun 16 14:35:12 2026 relations with 2 large ideals: 502869 Tue Jun 16 14:35:12 2026 relations with 3 large ideals: 3260372 Tue Jun 16 14:35:12 2026 relations with 4 large ideals: 11559596 Tue Jun 16 14:35:12 2026 relations with 5 large ideals: 24736460 Tue Jun 16 14:35:12 2026 relations with 6 large ideals: 33314726 Tue Jun 16 14:35:12 2026 relations with 7+ large ideals: 51929516 Tue Jun 16 14:35:12 2026 commencing 2-way merge Tue Jun 16 14:37:25 2026 reduce to 77063263 relation sets and 74652479 unique ideals Tue Jun 16 14:37:25 2026 commencing full merge Tue Jun 16 15:20:04 2026 memory use: 9448.6 MB Tue Jun 16 15:20:26 2026 found 35374758 cycles, need 35142679 Tue Jun 16 15:20:29 2026 weight of 35142679 cycles is about 3865876542 (110.01/cycle) Tue Jun 16 15:20:29 2026 distribution of cycle lengths: Tue Jun 16 15:20:29 2026 1 relations: 2973951 Tue Jun 16 15:20:29 2026 2 relations: 2763609 Tue Jun 16 15:20:29 2026 3 relations: 2753178 Tue Jun 16 15:20:29 2026 4 relations: 2678941 Tue Jun 16 15:20:29 2026 5 relations: 2622330 Tue Jun 16 15:20:29 2026 6 relations: 2512532 Tue Jun 16 15:20:29 2026 7 relations: 2418199 Tue Jun 16 15:20:29 2026 8 relations: 2283139 Tue Jun 16 15:20:29 2026 9 relations: 2117670 Tue Jun 16 15:20:29 2026 10+ relations: 12019130 Tue Jun 16 15:20:29 2026 heaviest cycle: 28 relations Tue Jun 16 15:22:44 2026 commencing cycle optimization Tue Jun 16 15:24:06 2026 start with 277164317 relations Tue Jun 16 15:41:07 2026 pruned 9348243 relations Tue Jun 16 15:41:08 2026 memory use: 7986.1 MB Tue Jun 16 15:41:08 2026 distribution of cycle lengths: Tue Jun 16 15:41:08 2026 1 relations: 2973951 Tue Jun 16 15:41:08 2026 2 relations: 2822916 Tue Jun 16 15:41:08 2026 3 relations: 2853299 Tue Jun 16 15:41:08 2026 4 relations: 2763961 Tue Jun 16 15:41:08 2026 5 relations: 2719932 Tue Jun 16 15:41:08 2026 6 relations: 2595721 Tue Jun 16 15:41:08 2026 7 relations: 2502722 Tue Jun 16 15:41:08 2026 8 relations: 2349640 Tue Jun 16 15:41:08 2026 9 relations: 2176061 Tue Jun 16 15:41:08 2026 10+ relations: 11384476 Tue Jun 16 15:41:08 2026 heaviest cycle: 28 relations Tue Jun 16 15:44:39 2026 RelProcTime: 33229 Tue Jun 16 15:44:39 2026 Tue Jun 16 15:44:39 2026 commencing linear algebra Tue Jun 16 15:44:52 2026 read 35142679 cycles Tue Jun 16 15:46:25 2026 cycles contain 123945601 unique relations Tue Jun 16 15:57:47 2026 read 123945601 relations Tue Jun 16 16:02:59 2026 using 20 quadratic characters above 4294917295 Tue Jun 16 16:11:39 2026 building initial matrix Tue Jun 16 16:37:59 2026 memory use: 15929.0 MB Tue Jun 16 16:39:17 2026 read 35142679 cycles Tue Jun 16 16:39:24 2026 matrix is 35142499 x 35142679 (15448.6 MB) with weight 4456740311 (126.82/col) Tue Jun 16 16:39:24 2026 sparse part has weight 3663178963 (104.24/col) Tue Jun 16 16:51:15 2026 filtering completed in 2 passes Tue Jun 16 16:51:22 2026 matrix is 35138915 x 35139095 (15448.3 MB) with weight 4456620699 (126.83/col) Tue Jun 16 16:51:22 2026 sparse part has weight 3663142642 (104.25/col) Tue Jun 16 16:57:13 2026 matrix starts at (0, 0) Tue Jun 16 16:57:20 2026 matrix is 35138915 x 35139095 (15448.3 MB) with weight 4456620699 (126.83/col) Tue Jun 16 16:57:20 2026 sparse part has weight 3663142642 (104.25/col) Tue Jun 16 16:57:20 2026 saving the first 48 matrix rows for later Tue Jun 16 16:57:31 2026 matrix includes 64 packed rows Tue Jun 16 16:57:36 2026 matrix is 35138867 x 35139095 (14824.3 MB) with weight 3779071775 (107.55/col) Tue Jun 16 16:57:36 2026 sparse part has weight 3534722625 (100.59/col) Tue Jun 16 16:57:37 2026 using block size 8192 and superblock size 2949120 for processor cache size 30720 kB Tue Jun 16 17:02:13 2026 commencing Lanczos iteration (24 threads) Tue Jun 16 17:02:13 2026 memory use: 13024.6 MB Tue Jun 16 17:03:35 2026 linear algebra at 0.0%, ETA 502h50m Tue Jun 16 17:04:01 2026 checkpointing every 80000 dimensions Fri Jun 26 17:54:31 2026 Fri Jun 26 17:54:31 2026 Fri Jun 26 17:54:31 2026 Msieve v. 1.54 (SVN 1018) Fri Jun 26 17:54:31 2026 random seeds: 0468bda8 f5747de2 Fri Jun 26 17:54:31 2026 factoring 2908569969368791505135274828322962267896447025608470798476532228538716848281224911055631486783166711215691303183267922710269713272494393661248285220548073185096298160494103775481565034866758860235501053587395638609566010247768185265330812988713837 (247 digits) Fri Jun 26 17:54:32 2026 searching for 15-digit factors Fri Jun 26 17:54:32 2026 commencing number field sieve (247-digit input) Fri Jun 26 17:54:32 2026 R0: 466875157491968618105180914998570560031555584 Fri Jun 26 17:54:32 2026 R1: -67762635780344027125465800054371356964111328125 Fri Jun 26 17:54:32 2026 A0: 134 Fri Jun 26 17:54:32 2026 A1: 0 Fri Jun 26 17:54:32 2026 A2: 0 Fri Jun 26 17:54:32 2026 A3: 0 Fri Jun 26 17:54:32 2026 A4: 0 Fri Jun 26 17:54:32 2026 A5: 0 Fri Jun 26 17:54:32 2026 A6: 1 Fri Jun 26 17:54:32 2026 skew 1.32, size 5.651e-014, alpha 0.901, combined = 1.317e-014 rroots = 0 Fri Jun 26 17:54:32 2026 Fri Jun 26 17:54:32 2026 commencing linear algebra Fri Jun 26 17:56:54 2026 matrix starts at (0, 0) Fri Jun 26 17:57:00 2026 matrix is 35138915 x 35139095 (15448.3 MB) with weight 4456620699 (126.83/col) Fri Jun 26 17:57:00 2026 sparse part has weight 3663142642 (104.25/col) Fri Jun 26 17:57:00 2026 saving the first 48 matrix rows for later Fri Jun 26 17:57:11 2026 matrix includes 64 packed rows Fri Jun 26 17:57:17 2026 matrix is 35138867 x 35139095 (14824.3 MB) with weight 3779071775 (107.55/col) Fri Jun 26 17:57:17 2026 sparse part has weight 3534722625 (100.59/col) Fri Jun 26 17:57:17 2026 using block size 8192 and superblock size 2949120 for processor cache size 30720 kB Fri Jun 26 18:01:47 2026 commencing Lanczos iteration (24 threads) Fri Jun 26 18:01:48 2026 memory use: 13024.6 MB Fri Jun 26 18:02:02 2026 restarting at iteration 261883 (dim = 16560042) Fri Jun 26 18:03:16 2026 linear algebra at 47.1%, ETA 250h24m Fri Jun 26 18:03:39 2026 checkpointing every 80000 dimensions Mon Jul 06 12:33:42 2026 Mon Jul 06 12:33:42 2026 Mon Jul 06 12:33:42 2026 Msieve v. 1.54 (SVN 1018) Mon Jul 06 12:33:42 2026 random seeds: 2d4e5f00 f24917a8 Mon Jul 06 12:33:42 2026 factoring 2908569969368791505135274828322962267896447025608470798476532228538716848281224911055631486783166711215691303183267922710269713272494393661248285220548073185096298160494103775481565034866758860235501053587395638609566010247768185265330812988713837 (247 digits) Mon Jul 06 12:33:43 2026 searching for 15-digit factors Mon Jul 06 12:33:43 2026 commencing number field sieve (247-digit input) Mon Jul 06 12:33:43 2026 R0: 466875157491968618105180914998570560031555584 Mon Jul 06 12:33:44 2026 R1: -67762635780344027125465800054371356964111328125 Mon Jul 06 12:33:44 2026 A0: 134 Mon Jul 06 12:33:44 2026 A1: 0 Mon Jul 06 12:33:44 2026 A2: 0 Mon Jul 06 12:33:44 2026 A3: 0 Mon Jul 06 12:33:44 2026 A4: 0 Mon Jul 06 12:33:44 2026 A5: 0 Mon Jul 06 12:33:44 2026 A6: 1 Mon Jul 06 12:33:44 2026 skew 1.32, size 5.651e-014, alpha 0.901, combined = 1.317e-014 rroots = 0 Mon Jul 06 12:33:44 2026 Mon Jul 06 12:33:44 2026 commencing linear algebra Mon Jul 06 12:36:05 2026 matrix starts at (0, 0) Mon Jul 06 12:36:11 2026 matrix is 35138915 x 35139095 (15448.3 MB) with weight 4456620699 (126.83/col) Mon Jul 06 12:36:11 2026 sparse part has weight 3663142642 (104.25/col) Mon Jul 06 12:36:11 2026 saving the first 48 matrix rows for later Mon Jul 06 12:36:21 2026 matrix includes 64 packed rows Mon Jul 06 12:36:27 2026 matrix is 35138867 x 35139095 (14824.3 MB) with weight 3779071775 (107.55/col) Mon Jul 06 12:36:27 2026 sparse part has weight 3534722625 (100.59/col) Mon Jul 06 12:36:27 2026 using block size 8192 and superblock size 2949120 for processor cache size 30720 kB Mon Jul 06 12:40:51 2026 commencing Lanczos iteration (24 threads) Mon Jul 06 12:40:52 2026 memory use: 13024.6 MB Mon Jul 06 12:41:06 2026 restarting at iteration 531340 (dim = 33600063) Mon Jul 06 12:42:17 2026 linear algebra at 95.6%, ETA 19h56m Mon Jul 06 12:42:38 2026 checkpointing every 80000 dimensions Tue Jul 07 09:13:31 2026 lanczos halted after 555676 iterations (dim = 35138865) Tue Jul 07 09:14:05 2026 recovered 36 nontrivial dependencies Tue Jul 07 09:15:00 2026 BLanczosTime: 74476 Tue Jul 07 09:15:00 2026 Tue Jul 07 09:15:00 2026 commencing square root phase Tue Jul 07 09:15:00 2026 reading relations for dependency 1 Tue Jul 07 09:15:12 2026 read 17566594 cycles Tue Jul 07 09:15:52 2026 cycles contain 61966234 unique relations Tue Jul 07 09:28:44 2026 read 61966234 relations Tue Jul 07 09:34:40 2026 multiplying 61966234 relations Tue Jul 07 10:24:53 2026 multiply complete, coefficients have about 1688.83 million bits Tue Jul 07 10:24:59 2026 initial square root is modulo 37636843 Tue Jul 07 11:13:00 2026 found factor: 121064445475644331643771343013194932253790326332898134025207602629572242723292059405795868364751932402356398728081 Tue Jul 07 11:13:01 2026 reading relations for dependency 2 Tue Jul 07 11:13:09 2026 read 17569096 cycles Tue Jul 07 11:13:50 2026 cycles contain 61974422 unique relations Tue Jul 07 11:20:21 2026 read 61974422 relations Tue Jul 07 11:26:17 2026 multiplying 61974422 relations Tue Jul 07 12:16:34 2026 multiply complete, coefficients have about 1689.04 million bits Tue Jul 07 12:16:41 2026 initial square root is modulo 37719307 Tue Jul 07 13:05:08 2026 GCD is N, no factor found Tue Jul 07 13:05:09 2026 reading relations for dependency 3 Tue Jul 07 13:05:17 2026 read 17570103 cycles Tue Jul 07 13:05:57 2026 cycles contain 61969498 unique relations Tue Jul 07 13:12:29 2026 read 61969498 relations Tue Jul 07 13:18:26 2026 multiplying 61969498 relations Tue Jul 07 14:08:43 2026 multiply complete, coefficients have about 1688.90 million bits Tue Jul 07 14:08:49 2026 initial square root is modulo 37666609 Tue Jul 07 14:57:15 2026 sqrtTime: 20535 Tue Jul 07 14:57:16 2026 p65 factor: 77116832681614603155248443784775906112762793462889419647661829907 Tue Jul 07 14:57:16 2026 p69 factor: 311539927565257640977740410261434807061219984944274933005919178692111 Tue Jul 07 14:57:16 2026 p114 factor: 121064445475644331643771343013194932253790326332898134025207602629572242723292059405795868364751932402356398728081 Tue Jul 07 14:57:16 2026 elapsed time 26:23:34