Tue Oct 13 17:16:59 2020 Tue Oct 13 17:16:59 2020 Msieve v. 1.54 (SVN 1030) Tue Oct 13 17:16:59 2020 random seeds: e4bb1df0 0665ce01 Tue Oct 13 17:16:59 2020 factoring 93827846437802973854573176480124976379315282365652051468061831477010695511674981968561449188381258588996969741356196004419606765233147249029453619721890132499459126383927106222262163829920734768729699703114955917010212137147786763861127521680748981 (248 digits) Tue Oct 13 17:17:00 2020 no P-1/P+1/ECM available, skipping Tue Oct 13 17:17:00 2020 commencing number field sieve (248-digit input) Tue Oct 13 17:17:00 2020 R0: 213950272706703123083784878253936767578125 Tue Oct 13 17:17:00 2020 R1: 1 Tue Oct 13 17:17:00 2020 A0: 1 Tue Oct 13 17:17:00 2020 A1: 0 Tue Oct 13 17:17:00 2020 A2: 0 Tue Oct 13 17:17:00 2020 A3: 0 Tue Oct 13 17:17:00 2020 A4: 0 Tue Oct 13 17:17:00 2020 A5: 0 Tue Oct 13 17:17:00 2020 A6: 45 Tue Oct 13 17:17:00 2020 skew 0.53, size 2.214e-12, alpha 1.366, combined = 2.123e-13 rroots = 0 Tue Oct 13 17:17:00 2020 Tue Oct 13 17:17:00 2020 commencing relation filtering Tue Oct 13 17:17:00 2020 setting target matrix density to 120.0 Tue Oct 13 17:17:00 2020 estimated available RAM is 16021.5 MB Tue Oct 13 17:17:00 2020 commencing duplicate removal, pass 1 [ . . . skipped 3615 error -n reading relation nnn messages . . . ] [ 2494 error -1 ] [ 1 error -2 ] [ 22 error -5 ] [ 78 error -6 ] [ 30 error -9 ] [ 969 error -11 ] [ 21 error -15 ] Tue Oct 13 17:47:30 2020 skipped 1390 relations with b > 2^32 Tue Oct 13 17:47:30 2020 skipped 510 relations with composite factors Tue Oct 13 17:47:30 2020 found 9187197 hash collisions in 204999353 relations Tue Oct 13 17:47:46 2020 added 1218728 free relations Tue Oct 13 17:47:46 2020 commencing duplicate removal, pass 2 Tue Oct 13 17:49:19 2020 found 0 duplicates and 206218081 unique relations Tue Oct 13 17:49:19 2020 memory use: 522.4 MB Tue Oct 13 17:49:19 2020 reading ideals above 149880832 Tue Oct 13 17:49:19 2020 commencing singleton removal, initial pass Tue Oct 13 18:13:47 2020 memory use: 3012.0 MB Tue Oct 13 18:13:48 2020 reading all ideals from disk Tue Oct 13 18:13:51 2020 memory use: 3487.1 MB Tue Oct 13 18:14:03 2020 commencing in-memory singleton removal Tue Oct 13 18:14:14 2020 begin with 206218081 relations and 162107357 unique ideals Tue Oct 13 18:17:26 2020 reduce to 142840749 relations and 92973131 ideals in 15 passes Tue Oct 13 18:17:26 2020 max relations containing the same ideal: 53 Tue Oct 13 18:17:37 2020 reading ideals above 720000 Tue Oct 13 18:17:37 2020 commencing singleton removal, initial pass Tue Oct 13 18:42:26 2020 memory use: 3012.0 MB Tue Oct 13 18:42:26 2020 reading all ideals from disk Tue Oct 13 18:42:33 2020 memory use: 5770.9 MB Tue Oct 13 18:42:54 2020 keeping 109080253 ideals with weight <= 200, target excess is 767113 Tue Oct 13 18:43:23 2020 commencing in-memory singleton removal Tue Oct 13 18:43:40 2020 begin with 142840750 relations and 109080253 unique ideals Tue Oct 13 18:46:32 2020 reduce to 142838148 relations and 109077651 ideals in 7 passes Tue Oct 13 18:46:32 2020 max relations containing the same ideal: 200 Tue Oct 13 18:48:05 2020 removing 10070121 relations and 8070121 ideals in 2000000 cliques Tue Oct 13 18:48:09 2020 commencing in-memory singleton removal Tue Oct 13 18:48:19 2020 begin with 132768027 relations and 109077651 unique ideals Tue Oct 13 18:51:07 2020 reduce to 132249102 relations and 100479457 ideals in 8 passes Tue Oct 13 18:51:07 2020 max relations containing the same ideal: 197 Tue Oct 13 18:52:40 2020 removing 7679026 relations and 5679026 ideals in 2000000 cliques Tue Oct 13 18:52:44 2020 commencing in-memory singleton removal Tue Oct 13 18:52:58 2020 begin with 124570076 relations and 100479457 unique ideals Tue Oct 13 18:55:48 2020 reduce to 124219827 relations and 94444944 ideals in 8 passes Tue Oct 13 18:55:48 2020 max relations containing the same ideal: 192 Tue Oct 13 18:57:16 2020 removing 6984907 relations and 4984907 ideals in 2000000 cliques Tue Oct 13 18:57:19 2020 commencing in-memory singleton removal Tue Oct 13 18:57:32 2020 begin with 117234920 relations and 94444944 unique ideals Tue Oct 13 19:00:11 2020 reduce to 116928624 relations and 89148994 ideals in 8 passes Tue Oct 13 19:00:11 2020 max relations containing the same ideal: 186 Tue Oct 13 19:01:16 2020 removing 6626714 relations and 4626714 ideals in 2000000 cliques Tue Oct 13 19:01:19 2020 commencing in-memory singleton removal Tue Oct 13 19:01:27 2020 begin with 110301910 relations and 89148994 unique ideals Tue Oct 13 19:03:21 2020 reduce to 110018135 relations and 84234143 ideals in 7 passes Tue Oct 13 19:03:21 2020 max relations containing the same ideal: 179 Tue Oct 13 19:04:39 2020 removing 6400102 relations and 4400102 ideals in 2000000 cliques Tue Oct 13 19:04:43 2020 commencing in-memory singleton removal Tue Oct 13 19:04:54 2020 begin with 103618033 relations and 84234143 unique ideals Tue Oct 13 19:06:55 2020 reduce to 103345312 relations and 79556903 ideals in 7 passes Tue Oct 13 19:06:55 2020 max relations containing the same ideal: 172 Tue Oct 13 19:08:09 2020 removing 6246928 relations and 4246928 ideals in 2000000 cliques Tue Oct 13 19:08:12 2020 commencing in-memory singleton removal Tue Oct 13 19:08:22 2020 begin with 97098384 relations and 79556903 unique ideals Tue Oct 13 19:09:59 2020 reduce to 96830304 relations and 75037182 ideals in 6 passes Tue Oct 13 19:09:59 2020 max relations containing the same ideal: 166 Tue Oct 13 19:11:08 2020 removing 6134391 relations and 4134391 ideals in 2000000 cliques Tue Oct 13 19:11:11 2020 commencing in-memory singleton removal Tue Oct 13 19:11:22 2020 begin with 90695913 relations and 75037182 unique ideals Tue Oct 13 19:13:06 2020 reduce to 90427824 relations and 70629697 ideals in 7 passes Tue Oct 13 19:13:06 2020 max relations containing the same ideal: 157 Tue Oct 13 19:14:10 2020 removing 6045959 relations and 4045959 ideals in 2000000 cliques Tue Oct 13 19:14:13 2020 commencing in-memory singleton removal Tue Oct 13 19:14:20 2020 begin with 84381865 relations and 70629697 unique ideals Tue Oct 13 19:15:03 2020 reduce to 84108861 relations and 66305429 ideals in 6 passes Tue Oct 13 19:15:03 2020 max relations containing the same ideal: 149 Tue Oct 13 19:16:04 2020 removing 5987310 relations and 3987310 ideals in 2000000 cliques Tue Oct 13 19:16:06 2020 commencing in-memory singleton removal Tue Oct 13 19:16:15 2020 begin with 78121551 relations and 66305429 unique ideals Tue Oct 13 19:17:32 2020 reduce to 77840854 relations and 62031604 ideals in 6 passes Tue Oct 13 19:17:32 2020 max relations containing the same ideal: 141 Tue Oct 13 19:18:28 2020 removing 5943292 relations and 3943292 ideals in 2000000 cliques Tue Oct 13 19:18:31 2020 commencing in-memory singleton removal Tue Oct 13 19:18:39 2020 begin with 71897562 relations and 62031604 unique ideals Tue Oct 13 19:19:49 2020 reduce to 71605562 relations and 57789633 ideals in 6 passes Tue Oct 13 19:19:49 2020 max relations containing the same ideal: 134 Tue Oct 13 19:20:41 2020 removing 5911840 relations and 3911840 ideals in 2000000 cliques Tue Oct 13 19:20:44 2020 commencing in-memory singleton removal Tue Oct 13 19:20:51 2020 begin with 65693722 relations and 57789633 unique ideals Tue Oct 13 19:21:55 2020 reduce to 65384800 relations and 53561444 ideals in 6 passes Tue Oct 13 19:21:55 2020 max relations containing the same ideal: 125 Tue Oct 13 19:22:43 2020 removing 5890933 relations and 3890933 ideals in 2000000 cliques Tue Oct 13 19:22:46 2020 commencing in-memory singleton removal Tue Oct 13 19:22:52 2020 begin with 59493867 relations and 53561444 unique ideals Tue Oct 13 19:23:49 2020 reduce to 59164901 relations and 49332810 ideals in 6 passes Tue Oct 13 19:23:49 2020 max relations containing the same ideal: 118 Tue Oct 13 19:24:33 2020 removing 5883735 relations and 3883735 ideals in 2000000 cliques Tue Oct 13 19:24:35 2020 commencing in-memory singleton removal Tue Oct 13 19:24:41 2020 begin with 53281166 relations and 49332810 unique ideals Tue Oct 13 19:25:31 2020 reduce to 52926851 relations and 45084702 ideals in 6 passes Tue Oct 13 19:25:31 2020 max relations containing the same ideal: 109 Tue Oct 13 19:26:10 2020 removing 5880777 relations and 3880777 ideals in 2000000 cliques Tue Oct 13 19:26:12 2020 commencing in-memory singleton removal Tue Oct 13 19:26:17 2020 begin with 47046074 relations and 45084702 unique ideals Tue Oct 13 19:27:07 2020 reduce to 46656009 relations and 40801520 ideals in 7 passes Tue Oct 13 19:27:07 2020 max relations containing the same ideal: 100 Tue Oct 13 19:27:33 2020 removing 5885646 relations and 3885646 ideals in 2000000 cliques Tue Oct 13 19:27:34 2020 commencing in-memory singleton removal Tue Oct 13 19:27:37 2020 begin with 40770363 relations and 40801520 unique ideals Tue Oct 13 19:28:03 2020 reduce to 40331647 relations and 36461696 ideals in 7 passes Tue Oct 13 19:28:03 2020 max relations containing the same ideal: 92 Tue Oct 13 19:28:33 2020 removing 5903847 relations and 3903848 ideals in 2000000 cliques Tue Oct 13 19:28:35 2020 commencing in-memory singleton removal Tue Oct 13 19:28:39 2020 begin with 34427800 relations and 36461696 unique ideals Tue Oct 13 19:29:16 2020 reduce to 33913581 relations and 32022770 ideals in 7 passes Tue Oct 13 19:29:16 2020 max relations containing the same ideal: 82 Tue Oct 13 19:29:41 2020 removing 3341490 relations and 2340531 ideals in 1000959 cliques Tue Oct 13 19:29:43 2020 commencing in-memory singleton removal Tue Oct 13 19:29:46 2020 begin with 30572091 relations and 32022770 unique ideals Tue Oct 13 19:30:19 2020 reduce to 30355076 relations and 29459633 ideals in 7 passes Tue Oct 13 19:30:19 2020 max relations containing the same ideal: 77 Tue Oct 13 19:30:48 2020 relations with 0 large ideals: 28970 Tue Oct 13 19:30:48 2020 relations with 1 large ideals: 10306 Tue Oct 13 19:30:48 2020 relations with 2 large ideals: 123802 Tue Oct 13 19:30:48 2020 relations with 3 large ideals: 820451 Tue Oct 13 19:30:48 2020 relations with 4 large ideals: 2907053 Tue Oct 13 19:30:48 2020 relations with 5 large ideals: 6116228 Tue Oct 13 19:30:48 2020 relations with 6 large ideals: 8040202 Tue Oct 13 19:30:48 2020 relations with 7+ large ideals: 12308064 Tue Oct 13 19:30:48 2020 commencing 2-way merge Tue Oct 13 19:31:18 2020 reduce to 20613189 relation sets and 19717746 unique ideals Tue Oct 13 19:31:18 2020 commencing full merge Tue Oct 13 19:44:09 2020 memory use: 2750.6 MB Tue Oct 13 19:44:12 2020 found 9565895 cycles, need 9485946 Tue Oct 13 19:44:16 2020 weight of 9485946 cycles is about 1138445915 (120.01/cycle) Tue Oct 13 19:44:16 2020 distribution of cycle lengths: Tue Oct 13 19:44:16 2020 1 relations: 278012 Tue Oct 13 19:44:16 2020 2 relations: 504040 Tue Oct 13 19:44:16 2020 3 relations: 650836 Tue Oct 13 19:44:16 2020 4 relations: 708838 Tue Oct 13 19:44:16 2020 5 relations: 750293 Tue Oct 13 19:44:16 2020 6 relations: 763215 Tue Oct 13 19:44:16 2020 7 relations: 754312 Tue Oct 13 19:44:16 2020 8 relations: 722887 Tue Oct 13 19:44:16 2020 9 relations: 675343 Tue Oct 13 19:44:16 2020 10+ relations: 3678170 Tue Oct 13 19:44:16 2020 heaviest cycle: 28 relations Tue Oct 13 19:44:20 2020 commencing cycle optimization Tue Oct 13 19:44:50 2020 start with 82524178 relations Tue Oct 13 19:49:55 2020 pruned 4221691 relations Tue Oct 13 19:49:55 2020 memory use: 2118.9 MB Tue Oct 13 19:49:55 2020 distribution of cycle lengths: Tue Oct 13 19:49:55 2020 1 relations: 278012 Tue Oct 13 19:49:55 2020 2 relations: 517606 Tue Oct 13 19:49:55 2020 3 relations: 681211 Tue Oct 13 19:49:55 2020 4 relations: 742337 Tue Oct 13 19:49:55 2020 5 relations: 794949 Tue Oct 13 19:49:55 2020 6 relations: 808634 Tue Oct 13 19:49:55 2020 7 relations: 802259 Tue Oct 13 19:49:55 2020 8 relations: 765385 Tue Oct 13 19:49:55 2020 9 relations: 712956 Tue Oct 13 19:49:55 2020 10+ relations: 3382597 Tue Oct 13 19:49:55 2020 heaviest cycle: 28 relations Tue Oct 13 19:50:15 2020 RelProcTime: 9195 Tue Oct 13 19:50:15 2020 elapsed time 02:33:16 Tue Oct 13 20:04:56 2020 Tue Oct 13 20:04:56 2020 Tue Oct 13 20:04:56 2020 Msieve v. 1.54 (SVN 1030) Tue Oct 13 20:04:56 2020 random seeds: e33f2995 0963b8a4 Tue Oct 13 20:04:56 2020 factoring 93827846437802973854573176480124976379315282365652051468061831477010695511674981968561449188381258588996969741356196004419606765233147249029453619721890132499459126383927106222262163829920734768729699703114955917010212137147786763861127521680748981 (248 digits) Tue Oct 13 20:04:57 2020 no P-1/P+1/ECM available, skipping Tue Oct 13 20:04:57 2020 commencing number field sieve (248-digit input) Tue Oct 13 20:04:57 2020 R0: 213950272706703123083784878253936767578125 Tue Oct 13 20:04:57 2020 R1: 1 Tue Oct 13 20:04:57 2020 A0: 1 Tue Oct 13 20:04:57 2020 A1: 0 Tue Oct 13 20:04:57 2020 A2: 0 Tue Oct 13 20:04:57 2020 A3: 0 Tue Oct 13 20:04:57 2020 A4: 0 Tue Oct 13 20:04:57 2020 A5: 0 Tue Oct 13 20:04:57 2020 A6: 45 Tue Oct 13 20:04:57 2020 skew 0.53, size 2.214e-12, alpha 1.366, combined = 2.123e-13 rroots = 0 Tue Oct 13 20:04:57 2020 Tue Oct 13 20:04:57 2020 commencing linear algebra Tue Oct 13 20:04:58 2020 read 9485946 cycles Tue Oct 13 20:05:13 2020 cycles contain 29931478 unique relations Tue Oct 13 20:07:24 2020 read 29931478 relations Tue Oct 13 20:08:32 2020 using 20 quadratic characters above 4294917295 Tue Oct 13 20:10:20 2020 building initial matrix Tue Oct 13 20:15:57 2020 memory use: 3831.1 MB Tue Oct 13 20:16:01 2020 read 9485946 cycles Tue Oct 13 20:16:02 2020 matrix is 9485768 x 9485946 (4430.4 MB) with weight 1274755252 (134.38/col) Tue Oct 13 20:16:02 2020 sparse part has weight 1057068293 (111.44/col) Tue Oct 13 20:17:35 2020 filtering completed in 2 passes Tue Oct 13 20:17:37 2020 matrix is 9485612 x 9485790 (4430.4 MB) with weight 1274749286 (134.39/col) Tue Oct 13 20:17:37 2020 sparse part has weight 1057065968 (111.44/col) Tue Oct 13 20:18:14 2020 matrix starts at (0, 0) Tue Oct 13 20:18:15 2020 matrix is 9485612 x 9485790 (4430.4 MB) with weight 1274749286 (134.39/col) Tue Oct 13 20:18:15 2020 sparse part has weight 1057065968 (111.44/col) Tue Oct 13 20:18:15 2020 saving the first 48 matrix rows for later Tue Oct 13 20:18:17 2020 matrix includes 64 packed rows Tue Oct 13 20:18:18 2020 matrix is 9485564 x 9485790 (4259.4 MB) with weight 1099883188 (115.95/col) Tue Oct 13 20:18:18 2020 sparse part has weight 1021715755 (107.71/col) Tue Oct 13 20:18:18 2020 using block size 8192 and superblock size 1572864 for processor cache size 16384 kB Tue Oct 13 20:18:48 2020 commencing Lanczos iteration (12 threads) Tue Oct 13 20:18:48 2020 memory use: 4075.9 MB Tue Oct 13 20:19:26 2020 linear algebra at 0.0%, ETA 62h36m Tue Oct 13 20:19:38 2020 checkpointing every 160000 dimensions Fri Oct 16 11:17:30 2020 lanczos halted after 149997 iterations (dim = 9485564) Fri Oct 16 11:17:38 2020 recovered 38 nontrivial dependencies Fri Oct 16 11:17:38 2020 BLanczosTime: 227561 Fri Oct 16 11:17:38 2020 elapsed time 63:12:42 Fri Oct 16 11:17:38 2020 Fri Oct 16 11:17:38 2020 Fri Oct 16 11:17:38 2020 Msieve v. 1.54 (SVN 1030) Fri Oct 16 11:17:38 2020 random seeds: d3c6284d 948466d0 Fri Oct 16 11:17:38 2020 factoring 93827846437802973854573176480124976379315282365652051468061831477010695511674981968561449188381258588996969741356196004419606765233147249029453619721890132499459126383927106222262163829920734768729699703114955917010212137147786763861127521680748981 (248 digits) Fri Oct 16 11:17:39 2020 no P-1/P+1/ECM available, skipping Fri Oct 16 11:17:39 2020 commencing number field sieve (248-digit input) Fri Oct 16 11:17:39 2020 R0: 213950272706703123083784878253936767578125 Fri Oct 16 11:17:39 2020 R1: 1 Fri Oct 16 11:17:39 2020 A0: 1 Fri Oct 16 11:17:39 2020 A1: 0 Fri Oct 16 11:17:39 2020 A2: 0 Fri Oct 16 11:17:39 2020 A3: 0 Fri Oct 16 11:17:39 2020 A4: 0 Fri Oct 16 11:17:39 2020 A5: 0 Fri Oct 16 11:17:39 2020 A6: 45 Fri Oct 16 11:17:39 2020 skew 0.53, size 2.214e-12, alpha 1.366, combined = 2.123e-13 rroots = 0 Fri Oct 16 11:17:39 2020 Fri Oct 16 11:17:39 2020 commencing square root phase Fri Oct 16 11:17:39 2020 reading relations for dependency 1 Fri Oct 16 11:17:40 2020 read 4741852 cycles Fri Oct 16 11:17:48 2020 cycles contain 14962880 unique relations Fri Oct 16 11:19:01 2020 read 14962880 relations Fri Oct 16 11:19:59 2020 multiplying 14962880 relations Fri Oct 16 11:29:32 2020 multiply complete, coefficients have about 463.24 million bits Fri Oct 16 11:29:35 2020 initial square root is modulo 205150357 Fri Oct 16 11:40:20 2020 sqrtTime: 1361 Fri Oct 16 11:40:20 2020 p95 factor: 31472543189852063608351206619774185000278966152980269366831825030893781824906736840787066198347 Fri Oct 16 11:40:20 2020 p154 factor: 2981260391694580775932710417268166930144843052325242034357827561830240677103684864557972346141873612166884930120810769757003210409841682193109422450721023 Fri Oct 16 11:40:20 2020 elapsed time 00:22:42 *********** Processing f45_151p1.log ************* http://factordb.com/report.php?report=93827846437802973854573176480124976379315282365652051468061831477010695511674981968561449188381258588996969741356196004419606765233147249029453619721890132499459126383927106222262163829920734768729699703114955917010212137147786763861127521680748981%3D31472543189852063608351206619774185000278966152980269366831825030893781824906736840787066198347*2981260391694580775932710417268166930144843052325242034357827561830240677103684864557972346141873612166884930120810769757003210409841682193109422450721023 1 new factor added to factordb 1 factor already known by factordb 1 Thank you for your contribution