Thu Sep 10 16:34:53 2026 Thu Sep 10 16:34:53 2026 Thu Sep 10 16:34:53 2026 Msieve v. 1.54 (SVN Unversioned directory) Thu Sep 10 16:34:53 2026 random seeds: d1ee7c02 4e74e9f7 Thu Sep 10 16:34:53 2026 MPI process 0 of 1 Thu Sep 10 16:34:53 2026 Using 46 OpenMP threads Thu Sep 10 16:34:53 2026 factoring 1759684460853660713577954986861484450526523447681979904564111753878967426749595228618714830329401157972279042990087449920423771415937572671464273363817569612482383284778558698599044084784653928006178449576244350775723721848445891326989934713900383380730895995259724064197813 (274 digits) Thu Sep 10 16:34:54 2026 no P-1/P+1/ECM available, skipping Thu Sep 10 16:34:54 2026 commencing number field sieve (274-digit input) Thu Sep 10 16:34:54 2026 R0: 87259796789062932960806397927517794072553092668647800832 Thu Sep 10 16:34:54 2026 R1: -89519816815611419724782895544261300563812255859375 Thu Sep 10 16:34:54 2026 A0: 125 Thu Sep 10 16:34:54 2026 A1: 0 Thu Sep 10 16:34:54 2026 A2: 0 Thu Sep 10 16:34:54 2026 A3: 0 Thu Sep 10 16:34:54 2026 A4: 0 Thu Sep 10 16:34:54 2026 A5: 3 Thu Sep 10 16:34:54 2026 skew 3.16, size 3.517e-19, alpha 0.443, combined = 4.645e-15 rroots = 1 Thu Sep 10 16:34:54 2026 Thu Sep 10 16:34:54 2026 commencing relation filtering Thu Sep 10 16:34:54 2026 setting target matrix density to 110.0 Thu Sep 10 16:34:54 2026 estimated available RAM is 192068.7 MB Thu Sep 10 16:34:54 2026 commencing duplicate removal, pass 1 Thu Sep 10 16:45:44 2026 found 241984328 hash collisions in 1061250439 relations Thu Sep 10 16:46:16 2026 added 731993 free relations Thu Sep 10 16:46:16 2026 commencing duplicate removal, pass 2 Thu Sep 10 16:54:20 2026 found 265755366 duplicates and 796227066 unique relations Thu Sep 10 16:54:20 2026 memory use: 11216.0 MB Thu Sep 10 16:54:21 2026 reading ideals above 481492992 Thu Sep 10 16:54:21 2026 commencing singleton removal, initial pass Thu Sep 10 17:06:35 2026 LP64 contains 796227066 relations and 694966874 unique large ideals Thu Sep 10 17:06:35 2026 memory use: 21452.0 MB Thu Sep 10 17:06:36 2026 preparing 64-bit LP file for common filtering Thu Sep 10 17:06:36 2026 start with 796227066 relations and 694966874 ideals Thu Sep 10 17:07:52 2026 compacted LP dataset has 796227066 relations and 694966874 large ideals Thu Sep 10 17:07:52 2026 reading all ideals from disk Thu Sep 10 17:08:03 2026 memory use: 20666.2 MB Thu Sep 10 17:08:11 2026 commencing in-memory singleton removal Thu Sep 10 17:08:15 2026 begin with 796227066 relations and 694966874 unique ideals Thu Sep 10 17:08:36 2026 reduce to 484119734 relations and 350597296 ideals in 15 passes Thu Sep 10 17:08:36 2026 max relations containing the same ideal: 30 Thu Sep 10 17:08:54 2026 reading ideals above 720000 Thu Sep 10 17:08:54 2026 commencing singleton removal, initial pass Thu Sep 10 17:23:28 2026 LP64 contains 484119734 relations and 401344656 unique large ideals Thu Sep 10 17:23:28 2026 memory use: 11756.0 MB Thu Sep 10 17:23:29 2026 preparing 64-bit LP file for common filtering Thu Sep 10 17:23:29 2026 start with 484119734 relations and 401344656 ideals Thu Sep 10 17:25:02 2026 compacted LP dataset has 484119734 relations and 401344656 large ideals Thu Sep 10 17:25:02 2026 reading all ideals from disk Thu Sep 10 17:25:18 2026 memory use: 24973.0 MB Thu Sep 10 17:25:30 2026 keeping 398932102 ideals with weight <= 200, target excess is 2528425 Thu Sep 10 17:26:41 2026 commencing in-memory singleton removal Thu Sep 10 17:26:46 2026 begin with 484119734 relations and 398932102 unique ideals Thu Sep 10 17:27:01 2026 reduce to 484103355 relations and 398915723 ideals in 7 passes Thu Sep 10 17:27:01 2026 max relations containing the same ideal: 200 Thu Sep 10 17:29:21 2026 removing 15866967 relations and 13866967 ideals in 2000000 cliques Thu Sep 10 17:29:26 2026 commencing in-memory singleton removal Thu Sep 10 17:29:33 2026 begin with 468236388 relations and 398915723 unique ideals Thu Sep 10 17:29:54 2026 reduce to 467844990 relations and 384654972 ideals in 8 passes Thu Sep 10 17:29:54 2026 max relations containing the same ideal: 200 Thu Sep 10 17:31:47 2026 removing 11956226 relations and 9956226 ideals in 2000000 cliques Thu Sep 10 17:31:52 2026 commencing in-memory singleton removal Thu Sep 10 17:31:58 2026 begin with 455888764 relations and 384654972 unique ideals Thu Sep 10 17:32:18 2026 reduce to 455646634 relations and 374455382 ideals in 8 passes Thu Sep 10 17:32:18 2026 max relations containing the same ideal: 199 Thu Sep 10 17:34:33 2026 removing 10701968 relations and 8701968 ideals in 2000000 cliques Thu Sep 10 17:34:39 2026 commencing in-memory singleton removal Thu Sep 10 17:34:45 2026 begin with 444944666 relations and 374455382 unique ideals Thu Sep 10 17:35:02 2026 reduce to 444740972 relations and 365548757 ideals in 7 passes Thu Sep 10 17:35:02 2026 max relations containing the same ideal: 197 Thu Sep 10 17:37:20 2026 removing 9984824 relations and 7984824 ideals in 2000000 cliques Thu Sep 10 17:37:26 2026 commencing in-memory singleton removal Thu Sep 10 17:37:31 2026 begin with 434756148 relations and 365548757 unique ideals Thu Sep 10 17:37:49 2026 reduce to 434572102 relations and 357379056 ideals in 7 passes Thu Sep 10 17:37:49 2026 max relations containing the same ideal: 196 Thu Sep 10 17:40:02 2026 removing 9499204 relations and 7499204 ideals in 2000000 cliques Thu Sep 10 17:40:08 2026 commencing in-memory singleton removal Thu Sep 10 17:40:13 2026 begin with 425072898 relations and 357379056 unique ideals Thu Sep 10 17:40:30 2026 reduce to 424900755 relations and 349706939 ideals in 7 passes Thu Sep 10 17:40:30 2026 max relations containing the same ideal: 194 Thu Sep 10 17:42:40 2026 removing 9141359 relations and 7141359 ideals in 2000000 cliques Thu Sep 10 17:42:45 2026 commencing in-memory singleton removal Thu Sep 10 17:42:50 2026 begin with 415759396 relations and 349706939 unique ideals Thu Sep 10 17:43:08 2026 reduce to 415596950 relations and 342402362 ideals in 7 passes Thu Sep 10 17:43:08 2026 max relations containing the same ideal: 192 Thu Sep 10 17:45:02 2026 removing 8858544 relations and 6858544 ideals in 2000000 cliques Thu Sep 10 17:45:06 2026 commencing in-memory singleton removal Thu Sep 10 17:45:12 2026 begin with 406738406 relations and 342402362 unique ideals Thu Sep 10 17:45:27 2026 reduce to 406581029 relations and 335385735 ideals in 7 passes Thu Sep 10 17:45:27 2026 max relations containing the same ideal: 189 Thu Sep 10 17:47:05 2026 removing 8640152 relations and 6640152 ideals in 2000000 cliques Thu Sep 10 17:47:09 2026 commencing in-memory singleton removal Thu Sep 10 17:47:15 2026 begin with 397940877 relations and 335385735 unique ideals Thu Sep 10 17:47:31 2026 reduce to 397788377 relations and 328592342 ideals in 7 passes Thu Sep 10 17:47:31 2026 max relations containing the same ideal: 187 Thu Sep 10 17:49:06 2026 removing 8455179 relations and 6455179 ideals in 2000000 cliques Thu Sep 10 17:49:11 2026 commencing in-memory singleton removal Thu Sep 10 17:49:16 2026 begin with 389333198 relations and 328592342 unique ideals Thu Sep 10 17:49:32 2026 reduce to 389183345 relations and 321986584 ideals in 7 passes Thu Sep 10 17:49:32 2026 max relations containing the same ideal: 186 Thu Sep 10 17:51:30 2026 removing 8306583 relations and 6306583 ideals in 2000000 cliques Thu Sep 10 17:51:35 2026 commencing in-memory singleton removal Thu Sep 10 17:51:40 2026 begin with 380876762 relations and 321986584 unique ideals Thu Sep 10 17:51:55 2026 reduce to 380728432 relations and 315530907 ideals in 7 passes Thu Sep 10 17:51:55 2026 max relations containing the same ideal: 183 Thu Sep 10 17:53:54 2026 removing 8180848 relations and 6180848 ideals in 2000000 cliques Thu Sep 10 17:53:58 2026 commencing in-memory singleton removal Thu Sep 10 17:54:03 2026 begin with 372547584 relations and 315530907 unique ideals Thu Sep 10 17:54:17 2026 reduce to 372400632 relations and 309202347 ideals in 6 passes Thu Sep 10 17:54:17 2026 max relations containing the same ideal: 181 Thu Sep 10 17:55:47 2026 removing 8075467 relations and 6075467 ideals in 2000000 cliques Thu Sep 10 17:55:51 2026 commencing in-memory singleton removal Thu Sep 10 17:55:56 2026 begin with 364325165 relations and 309202347 unique ideals Thu Sep 10 17:56:09 2026 reduce to 364179057 relations and 302979980 ideals in 6 passes Thu Sep 10 17:56:09 2026 max relations containing the same ideal: 181 Thu Sep 10 17:57:49 2026 removing 7986288 relations and 5986288 ideals in 2000000 cliques Thu Sep 10 17:57:53 2026 commencing in-memory singleton removal Thu Sep 10 17:57:58 2026 begin with 356192769 relations and 302979980 unique ideals Thu Sep 10 17:58:11 2026 reduce to 356046006 relations and 296846097 ideals in 7 passes Thu Sep 10 17:58:11 2026 max relations containing the same ideal: 176 Thu Sep 10 17:59:37 2026 removing 7905952 relations and 5905952 ideals in 2000000 cliques Thu Sep 10 17:59:41 2026 commencing in-memory singleton removal Thu Sep 10 17:59:46 2026 begin with 348140054 relations and 296846097 unique ideals Thu Sep 10 18:00:00 2026 reduce to 347993569 relations and 290792853 ideals in 7 passes Thu Sep 10 18:00:00 2026 max relations containing the same ideal: 172 Thu Sep 10 18:01:46 2026 removing 7842084 relations and 5842084 ideals in 2000000 cliques Thu Sep 10 18:01:50 2026 commencing in-memory singleton removal Thu Sep 10 18:01:54 2026 begin with 340151485 relations and 290792853 unique ideals Thu Sep 10 18:02:06 2026 reduce to 340003494 relations and 284801930 ideals in 6 passes Thu Sep 10 18:02:06 2026 max relations containing the same ideal: 172 Thu Sep 10 18:03:29 2026 removing 7786106 relations and 5786106 ideals in 2000000 cliques Thu Sep 10 18:03:32 2026 commencing in-memory singleton removal Thu Sep 10 18:03:37 2026 begin with 332217388 relations and 284801930 unique ideals Thu Sep 10 18:03:49 2026 reduce to 332068523 relations and 278866016 ideals in 6 passes Thu Sep 10 18:03:49 2026 max relations containing the same ideal: 168 Thu Sep 10 18:05:10 2026 removing 7736243 relations and 5736243 ideals in 2000000 cliques Thu Sep 10 18:05:13 2026 commencing in-memory singleton removal Thu Sep 10 18:05:18 2026 begin with 324332280 relations and 278866016 unique ideals Thu Sep 10 18:05:30 2026 reduce to 324181576 relations and 272978210 ideals in 7 passes Thu Sep 10 18:05:30 2026 max relations containing the same ideal: 166 Thu Sep 10 18:07:08 2026 removing 7699783 relations and 5699783 ideals in 2000000 cliques Thu Sep 10 18:07:12 2026 commencing in-memory singleton removal Thu Sep 10 18:07:16 2026 begin with 316481793 relations and 272978210 unique ideals Thu Sep 10 18:07:29 2026 reduce to 316329376 relations and 267125090 ideals in 7 passes Thu Sep 10 18:07:29 2026 max relations containing the same ideal: 165 Thu Sep 10 18:08:52 2026 removing 7663393 relations and 5663393 ideals in 2000000 cliques Thu Sep 10 18:08:55 2026 commencing in-memory singleton removal Thu Sep 10 18:08:59 2026 begin with 308665983 relations and 267125090 unique ideals Thu Sep 10 18:09:10 2026 reduce to 308510826 relations and 261305567 ideals in 6 passes Thu Sep 10 18:09:10 2026 max relations containing the same ideal: 160 Thu Sep 10 18:10:32 2026 removing 7642225 relations and 5642225 ideals in 2000000 cliques Thu Sep 10 18:10:35 2026 commencing in-memory singleton removal Thu Sep 10 18:10:39 2026 begin with 300868601 relations and 261305567 unique ideals Thu Sep 10 18:10:50 2026 reduce to 300711184 relations and 255504935 ideals in 6 passes Thu Sep 10 18:10:50 2026 max relations containing the same ideal: 159 Thu Sep 10 18:12:03 2026 removing 7622309 relations and 5622309 ideals in 2000000 cliques Thu Sep 10 18:12:07 2026 commencing in-memory singleton removal Thu Sep 10 18:12:11 2026 begin with 293088875 relations and 255504935 unique ideals Thu Sep 10 18:12:22 2026 reduce to 292927274 relations and 249719902 ideals in 7 passes Thu Sep 10 18:12:22 2026 max relations containing the same ideal: 158 Thu Sep 10 18:13:57 2026 removing 7606333 relations and 5606333 ideals in 2000000 cliques Thu Sep 10 18:14:00 2026 commencing in-memory singleton removal Thu Sep 10 18:14:04 2026 begin with 285320941 relations and 249719902 unique ideals Thu Sep 10 18:14:15 2026 reduce to 285156219 relations and 243947711 ideals in 7 passes Thu Sep 10 18:14:15 2026 max relations containing the same ideal: 157 Thu Sep 10 18:15:27 2026 removing 7599976 relations and 5599976 ideals in 2000000 cliques Thu Sep 10 18:15:30 2026 commencing in-memory singleton removal Thu Sep 10 18:15:33 2026 begin with 277556243 relations and 243947711 unique ideals Thu Sep 10 18:15:43 2026 reduce to 277387309 relations and 238177619 ideals in 6 passes Thu Sep 10 18:15:43 2026 max relations containing the same ideal: 150 Thu Sep 10 18:16:53 2026 removing 7589996 relations and 5589996 ideals in 2000000 cliques Thu Sep 10 18:16:56 2026 commencing in-memory singleton removal Thu Sep 10 18:16:59 2026 begin with 269797313 relations and 238177619 unique ideals Thu Sep 10 18:17:09 2026 reduce to 269623565 relations and 232412607 ideals in 6 passes Thu Sep 10 18:17:09 2026 max relations containing the same ideal: 147 Thu Sep 10 18:18:32 2026 removing 7595730 relations and 5595730 ideals in 2000000 cliques Thu Sep 10 18:18:35 2026 commencing in-memory singleton removal Thu Sep 10 18:18:38 2026 begin with 262027835 relations and 232412607 unique ideals Thu Sep 10 18:18:47 2026 reduce to 261851073 relations and 226638789 ideals in 6 passes Thu Sep 10 18:18:47 2026 max relations containing the same ideal: 144 Thu Sep 10 18:20:02 2026 removing 7597507 relations and 5597507 ideals in 2000000 cliques Thu Sep 10 18:20:04 2026 commencing in-memory singleton removal Thu Sep 10 18:20:08 2026 begin with 254253566 relations and 226638789 unique ideals Thu Sep 10 18:20:17 2026 reduce to 254070939 relations and 220857203 ideals in 6 passes Thu Sep 10 18:20:17 2026 max relations containing the same ideal: 141 Thu Sep 10 18:21:20 2026 removing 7609547 relations and 5609547 ideals in 2000000 cliques Thu Sep 10 18:21:23 2026 commencing in-memory singleton removal Thu Sep 10 18:21:26 2026 begin with 246461392 relations and 220857203 unique ideals Thu Sep 10 18:21:36 2026 reduce to 246273860 relations and 215058693 ideals in 7 passes Thu Sep 10 18:21:36 2026 max relations containing the same ideal: 139 Thu Sep 10 18:22:54 2026 removing 7628608 relations and 5628608 ideals in 2000000 cliques Thu Sep 10 18:22:57 2026 commencing in-memory singleton removal Thu Sep 10 18:23:00 2026 begin with 238645252 relations and 215058693 unique ideals Thu Sep 10 18:23:10 2026 reduce to 238449847 relations and 209233063 ideals in 7 passes Thu Sep 10 18:23:10 2026 max relations containing the same ideal: 138 Thu Sep 10 18:24:10 2026 removing 7649129 relations and 5649129 ideals in 2000000 cliques Thu Sep 10 18:24:13 2026 commencing in-memory singleton removal Thu Sep 10 18:24:16 2026 begin with 230800718 relations and 209233063 unique ideals Thu Sep 10 18:24:26 2026 reduce to 230596305 relations and 203377791 ideals in 8 passes Thu Sep 10 18:24:26 2026 max relations containing the same ideal: 136 Thu Sep 10 18:25:40 2026 removing 7675379 relations and 5675379 ideals in 2000000 cliques Thu Sep 10 18:25:42 2026 commencing in-memory singleton removal Thu Sep 10 18:25:45 2026 begin with 222920926 relations and 203377791 unique ideals Thu Sep 10 18:25:53 2026 reduce to 222711054 relations and 197490763 ideals in 7 passes Thu Sep 10 18:25:53 2026 max relations containing the same ideal: 131 Thu Sep 10 18:26:51 2026 removing 7707042 relations and 5707042 ideals in 2000000 cliques Thu Sep 10 18:26:54 2026 commencing in-memory singleton removal Thu Sep 10 18:26:56 2026 begin with 215004012 relations and 197490763 unique ideals Thu Sep 10 18:27:03 2026 reduce to 214784173 relations and 191562020 ideals in 6 passes Thu Sep 10 18:27:03 2026 max relations containing the same ideal: 129 Thu Sep 10 18:27:58 2026 removing 7743630 relations and 5743630 ideals in 2000000 cliques Thu Sep 10 18:28:01 2026 commencing in-memory singleton removal Thu Sep 10 18:28:03 2026 begin with 207040543 relations and 191562020 unique ideals Thu Sep 10 18:28:11 2026 reduce to 206812193 relations and 185588063 ideals in 6 passes Thu Sep 10 18:28:11 2026 max relations containing the same ideal: 127 Thu Sep 10 18:29:04 2026 removing 7791324 relations and 5791324 ideals in 2000000 cliques Thu Sep 10 18:29:06 2026 commencing in-memory singleton removal Thu Sep 10 18:29:09 2026 begin with 199020869 relations and 185588063 unique ideals Thu Sep 10 18:29:17 2026 reduce to 198780038 relations and 179553669 ideals in 7 passes Thu Sep 10 18:29:17 2026 max relations containing the same ideal: 123 Thu Sep 10 18:30:12 2026 removing 7841544 relations and 5841544 ideals in 2000000 cliques Thu Sep 10 18:30:14 2026 commencing in-memory singleton removal Thu Sep 10 18:30:17 2026 begin with 190938494 relations and 179553669 unique ideals Thu Sep 10 18:30:25 2026 reduce to 190684395 relations and 173455671 ideals in 8 passes Thu Sep 10 18:30:25 2026 max relations containing the same ideal: 119 Thu Sep 10 18:31:15 2026 removing 7901825 relations and 5901825 ideals in 2000000 cliques Thu Sep 10 18:31:17 2026 commencing in-memory singleton removal Thu Sep 10 18:31:20 2026 begin with 182782570 relations and 173455671 unique ideals Thu Sep 10 18:31:27 2026 reduce to 182515916 relations and 167284584 ideals in 7 passes Thu Sep 10 18:31:27 2026 max relations containing the same ideal: 117 Thu Sep 10 18:32:15 2026 removing 7973223 relations and 5973223 ideals in 2000000 cliques Thu Sep 10 18:32:17 2026 commencing in-memory singleton removal Thu Sep 10 18:32:19 2026 begin with 174542693 relations and 167284584 unique ideals Thu Sep 10 18:32:26 2026 reduce to 174259430 relations and 161025215 ideals in 7 passes Thu Sep 10 18:32:26 2026 max relations containing the same ideal: 113 Thu Sep 10 18:33:12 2026 removing 8047871 relations and 6047871 ideals in 2000000 cliques Thu Sep 10 18:33:14 2026 commencing in-memory singleton removal Thu Sep 10 18:33:16 2026 begin with 166211559 relations and 161025215 unique ideals Thu Sep 10 18:33:23 2026 reduce to 165910229 relations and 154672878 ideals in 7 passes Thu Sep 10 18:33:23 2026 max relations containing the same ideal: 110 Thu Sep 10 18:34:07 2026 removing 8138454 relations and 6138454 ideals in 2000000 cliques Thu Sep 10 18:34:09 2026 commencing in-memory singleton removal Thu Sep 10 18:34:11 2026 begin with 157771775 relations and 154672878 unique ideals Thu Sep 10 18:34:17 2026 reduce to 157448745 relations and 148207903 ideals in 7 passes Thu Sep 10 18:34:17 2026 max relations containing the same ideal: 101 Thu Sep 10 18:34:59 2026 removing 8238506 relations and 6238506 ideals in 2000000 cliques Thu Sep 10 18:35:01 2026 commencing in-memory singleton removal Thu Sep 10 18:35:03 2026 begin with 149210239 relations and 148207903 unique ideals Thu Sep 10 18:35:09 2026 reduce to 148861359 relations and 141616586 ideals in 7 passes Thu Sep 10 18:35:09 2026 max relations containing the same ideal: 100 Thu Sep 10 18:35:49 2026 removing 8353051 relations and 6353051 ideals in 2000000 cliques Thu Sep 10 18:35:51 2026 commencing in-memory singleton removal Thu Sep 10 18:35:53 2026 begin with 140508308 relations and 141616586 unique ideals Thu Sep 10 18:35:58 2026 reduce to 140126775 relations and 134877771 ideals in 7 passes Thu Sep 10 18:35:58 2026 max relations containing the same ideal: 96 Thu Sep 10 18:36:37 2026 removing 8483827 relations and 6483827 ideals in 2000000 cliques Thu Sep 10 18:36:38 2026 commencing in-memory singleton removal Thu Sep 10 18:36:40 2026 begin with 131642948 relations and 134877771 unique ideals Thu Sep 10 18:36:46 2026 reduce to 131225933 relations and 127971911 ideals in 8 passes Thu Sep 10 18:36:46 2026 max relations containing the same ideal: 91 Thu Sep 10 18:37:24 2026 removing 1892492 relations and 1571444 ideals in 321048 cliques Thu Sep 10 18:37:26 2026 commencing in-memory singleton removal Thu Sep 10 18:37:27 2026 begin with 129333441 relations and 127971911 unique ideals Thu Sep 10 18:37:32 2026 reduce to 129314605 relations and 126381579 ideals in 6 passes Thu Sep 10 18:37:32 2026 max relations containing the same ideal: 90 Thu Sep 10 18:37:33 2026 relations with 0 large ideals: 51666 Thu Sep 10 18:37:33 2026 relations with 1 large ideals: 37198 Thu Sep 10 18:37:33 2026 relations with 2 large ideals: 549583 Thu Sep 10 18:37:33 2026 relations with 3 large ideals: 3571563 Thu Sep 10 18:37:33 2026 relations with 4 large ideals: 12562565 Thu Sep 10 18:37:33 2026 relations with 5 large ideals: 26469744 Thu Sep 10 18:37:33 2026 relations with 6 large ideals: 35485741 Thu Sep 10 18:37:33 2026 relations with 7+ large ideals: 50586545 Thu Sep 10 18:37:33 2026 commencing 2-way merge Thu Sep 10 18:38:39 2026 reduce to 80498538 relation sets and 77565512 unique ideals Thu Sep 10 18:38:39 2026 commencing full merge Thu Sep 10 19:01:04 2026 memory use: 9979.3 MB Thu Sep 10 19:01:06 2026 found 37613782 cycles, need 37257712 Thu Sep 10 19:01:14 2026 weight of 37257712 cycles is about 4098765024 (110.01/cycle) Thu Sep 10 19:01:14 2026 distribution of cycle lengths: Thu Sep 10 19:01:14 2026 1 relations: 3043357 Thu Sep 10 19:01:14 2026 2 relations: 2951690 Thu Sep 10 19:01:14 2026 3 relations: 3005618 Thu Sep 10 19:01:14 2026 4 relations: 2964021 Thu Sep 10 19:01:14 2026 5 relations: 2951589 Thu Sep 10 19:01:14 2026 6 relations: 2844907 Thu Sep 10 19:01:14 2026 7 relations: 2752903 Thu Sep 10 19:01:14 2026 8 relations: 2591951 Thu Sep 10 19:01:14 2026 9 relations: 2379441 Thu Sep 10 19:01:14 2026 10+ relations: 11772235 Thu Sep 10 19:01:14 2026 heaviest cycle: 28 relations Thu Sep 10 19:01:18 2026 commencing cycle optimization Thu Sep 10 19:02:12 2026 start with 280690533 relations Thu Sep 10 19:09:07 2026 pruned 9959894 relations Thu Sep 10 19:09:07 2026 memory use: 8579.4 MB Thu Sep 10 19:09:08 2026 distribution of cycle lengths: Thu Sep 10 19:09:08 2026 1 relations: 3043357 Thu Sep 10 19:09:08 2026 2 relations: 3021311 Thu Sep 10 19:09:08 2026 3 relations: 3120094 Thu Sep 10 19:09:08 2026 4 relations: 3065950 Thu Sep 10 19:09:08 2026 5 relations: 3070805 Thu Sep 10 19:09:08 2026 6 relations: 2950565 Thu Sep 10 19:09:08 2026 7 relations: 2858337 Thu Sep 10 19:09:08 2026 8 relations: 2676606 Thu Sep 10 19:09:08 2026 9 relations: 2448959 Thu Sep 10 19:09:08 2026 10+ relations: 11001728 Thu Sep 10 19:09:08 2026 heaviest cycle: 27 relations Thu Sep 10 19:09:19 2026 RelProcTime: 9265 Thu Sep 10 19:09:19 2026 elapsed time 02:34:26 Thu Sep 10 19:09:19 2026 Thu Sep 10 19:09:19 2026 Thu Sep 10 19:09:19 2026 Msieve v. 1.54 (SVN Unversioned directory) Thu Sep 10 19:09:19 2026 random seeds: 7278a47d c4f1d3d8 Thu Sep 10 19:09:19 2026 MPI process 0 of 1 Thu Sep 10 19:09:19 2026 Using 46 OpenMP threads Thu Sep 10 19:09:19 2026 factoring 1759684460853660713577954986861484450526523447681979904564111753878967426749595228618714830329401157972279042990087449920423771415937572671464273363817569612482383284778558698599044084784653928006178449576244350775723721848445891326989934713900383380730895995259724064197813 (274 digits) Thu Sep 10 19:09:20 2026 no P-1/P+1/ECM available, skipping Thu Sep 10 19:09:20 2026 commencing number field sieve (274-digit input) Thu Sep 10 19:09:20 2026 R0: 87259796789062932960806397927517794072553092668647800832 Thu Sep 10 19:09:20 2026 R1: -89519816815611419724782895544261300563812255859375 Thu Sep 10 19:09:20 2026 A0: 125 Thu Sep 10 19:09:20 2026 A1: 0 Thu Sep 10 19:09:20 2026 A2: 0 Thu Sep 10 19:09:20 2026 A3: 0 Thu Sep 10 19:09:20 2026 A4: 0 Thu Sep 10 19:09:20 2026 A5: 3 Thu Sep 10 19:09:20 2026 skew 3.16, size 3.517e-19, alpha 0.443, combined = 4.645e-15 rroots = 1 Thu Sep 10 19:09:20 2026 Thu Sep 10 19:09:20 2026 commencing linear algebra Thu Sep 10 19:09:20 2026 using VBITS=128 Thu Sep 10 19:09:20 2026 stopping after matrix build Thu Sep 10 19:09:20 2026 initialized process (0,0) of 1 x 1 grid Thu Sep 10 19:09:26 2026 read 37257712 cycles Thu Sep 10 19:11:01 2026 cycles contain 127745548 unique relations Thu Sep 10 19:12:50 2026 read 127745548 relations Thu Sep 10 19:13:01 2026 using 20 quadratic characters above 4294917295 Thu Sep 10 19:13:18 2026 building initial matrix Thu Sep 10 19:36:49 2026 memory use: 16484.2 MB Thu Sep 10 19:37:32 2026 read 37257712 cycles Thu Sep 10 19:37:37 2026 matrix is 37257534 x 37257712 (16363.0 MB) with weight 4709633471 (126.41/col) Thu Sep 10 19:37:37 2026 sparse part has weight 3879634666 (104.13/col) Thu Sep 10 19:46:02 2026 filtering completed in 2 passes Thu Sep 10 19:46:08 2026 matrix is 37254123 x 37254299 (16362.7 MB) with weight 4709518045 (126.42/col) Thu Sep 10 19:46:08 2026 sparse part has weight 3879594499 (104.14/col) Thu Sep 10 19:47:46 2026 BLanczosTime: 2306 Thu Sep 10 19:47:46 2026 elapsed time 00:38:27 Thu Sep 10 19:47:50 2026 Thu Sep 10 19:47:50 2026 Thu Sep 10 19:47:50 2026 Msieve v. 1.54 (SVN Unversioned directory) Thu Sep 10 19:47:50 2026 random seeds: 0fbf55ff a877f347 Thu Sep 10 19:47:50 2026 MPI process 0 of 2 Thu Sep 10 19:47:50 2026 Using 6 OpenMP threads Thu Sep 10 19:47:50 2026 factoring 1759684460853660713577954986861484450526523447681979904564111753878967426749595228618714830329401157972279042990087449920423771415937572671464273363817569612482383284778558698599044084784653928006178449576244350775723721848445891326989934713900383380730895995259724064197813 (274 digits) Thu Sep 10 19:47:51 2026 no P-1/P+1/ECM available, skipping Thu Sep 10 19:47:52 2026 commencing number field sieve (274-digit input) Thu Sep 10 19:47:52 2026 R0: 87259796789062932960806397927517794072553092668647800832 Thu Sep 10 19:47:52 2026 R1: -89519816815611419724782895544261300563812255859375 Thu Sep 10 19:47:52 2026 A0: 125 Thu Sep 10 19:47:52 2026 A1: 0 Thu Sep 10 19:47:52 2026 A2: 0 Thu Sep 10 19:47:52 2026 A3: 0 Thu Sep 10 19:47:52 2026 A4: 0 Thu Sep 10 19:47:52 2026 A5: 3 Thu Sep 10 19:47:52 2026 skew 3.16, size 3.517e-19, alpha 0.443, combined = 4.645e-15 rroots = 1 Thu Sep 10 19:47:52 2026 Thu Sep 10 19:47:52 2026 commencing linear algebra Thu Sep 10 19:47:52 2026 using VBITS=256 Thu Sep 10 19:47:52 2026 skipping matrix build Thu Sep 10 19:47:52 2026 initialized process (0,0) of 1 x 2 grid Thu Sep 10 19:48:03 2026 matrix starts at (0, 0) Thu Sep 10 19:48:04 2026 matrix is 37254123 x 18627118 (8181.4 MB) with weight 2354744462 (126.41/col) Thu Sep 10 19:48:04 2026 sparse part has weight 1939797370 (104.14/col) Thu Sep 10 19:48:04 2026 saving the first 240 matrix rows for later Thu Sep 10 19:48:09 2026 matrix includes 256 packed rows Thu Sep 10 19:48:13 2026 matrix is 37253883 x 18627118 (7606.6 MB) with weight 1782157861 (95.68/col) Thu Sep 10 19:48:13 2026 sparse part has weight 1695981804 (91.05/col) Thu Sep 10 19:48:13 2026 using GPU 0 (NVIDIA A100-SXM4-40GB) Thu Sep 10 19:48:13 2026 selected card has CUDA arch 8.0 Thu Sep 10 19:50:21 2026 commencing Lanczos iteration Thu Sep 10 19:50:23 2026 memory use: 19476.5 MB Thu Sep 10 19:51:01 2026 linear algebra at 0.1%, ETA 12h29m Thu Sep 10 19:51:57 2026 checking every 40000 dimensions, checkpointing every 3000000 dimensions Fri Sep 11 08:23:13 2026 lanczos halted after 145960 iterations (dim = 37253882) Fri Sep 11 08:25:42 2026 recovered 34 nontrivial dependencies Fri Sep 11 08:25:43 2026 BLanczosTime: 45471 Fri Sep 11 08:25:43 2026 elapsed time 12:37:53 Fri Sep 11 08:25:44 2026 Fri Sep 11 08:25:44 2026 Fri Sep 11 08:25:44 2026 Msieve v. 1.54 (SVN Unversioned directory) Fri Sep 11 08:25:44 2026 random seeds: f60efd45 101f2656 Fri Sep 11 08:25:44 2026 MPI process 0 of 1 Fri Sep 11 08:25:44 2026 Using 32 OpenMP threads Fri Sep 11 08:25:44 2026 factoring 1759684460853660713577954986861484450526523447681979904564111753878967426749595228618714830329401157972279042990087449920423771415937572671464273363817569612482383284778558698599044084784653928006178449576244350775723721848445891326989934713900383380730895995259724064197813 (274 digits) Fri Sep 11 08:25:46 2026 no P-1/P+1/ECM available, skipping Fri Sep 11 08:25:46 2026 commencing number field sieve (274-digit input) Fri Sep 11 08:25:46 2026 R0: 87259796789062932960806397927517794072553092668647800832 Fri Sep 11 08:25:46 2026 R1: -89519816815611419724782895544261300563812255859375 Fri Sep 11 08:25:46 2026 A0: 125 Fri Sep 11 08:25:46 2026 A1: 0 Fri Sep 11 08:25:46 2026 A2: 0 Fri Sep 11 08:25:46 2026 A3: 0 Fri Sep 11 08:25:46 2026 A4: 0 Fri Sep 11 08:25:46 2026 A5: 3 Fri Sep 11 08:25:46 2026 skew 3.16, size 3.517e-19, alpha 0.443, combined = 4.645e-15 rroots = 1 Fri Sep 11 08:25:46 2026 Fri Sep 11 08:25:46 2026 commencing square root phase Fri Sep 11 08:25:46 2026 reading relations for dependency 1 Fri Sep 11 08:25:50 2026 read 18628083 cycles Fri Sep 11 08:26:26 2026 cycles contain 63870284 unique relations Fri Sep 11 08:30:29 2026 read 63870284 relations Fri Sep 11 08:34:20 2026 multiplying 63870284 relations Fri Sep 11 08:37:36 2026 multiply complete, coefficients have about 1888.30 million bits Fri Sep 11 08:37:41 2026 initial square root is modulo 295389631 Fri Sep 11 08:49:11 2026 GCD is 1, no factor found Fri Sep 11 08:49:11 2026 reading relations for dependency 2 Fri Sep 11 08:49:16 2026 read 18625549 cycles Fri Sep 11 08:49:47 2026 cycles contain 63865634 unique relations Fri Sep 11 08:52:10 2026 read 63865634 relations Fri Sep 11 08:57:35 2026 multiplying 63865634 relations Fri Sep 11 09:00:57 2026 multiply complete, coefficients have about 1888.15 million bits Fri Sep 11 09:01:03 2026 initial square root is modulo 294933851 Fri Sep 11 09:12:45 2026 sqrtTime: 2819 Fri Sep 11 09:12:45 2026 p73 factor: 1369435167928069994936412140080528981366847533007012492564727550619484767 Fri Sep 11 09:12:45 2026 p202 factor: 1284970988087030552480757227148733807097165846080869134856176474300356204397175556940732658842950030660426496686077796623761590670623472086237392108354132474059312610677750925430076248604029320475365739 Fri Sep 11 09:12:45 2026 elapsed time 00:47:01