Wed Nov 17 00:34:41 2021 Wed Nov 17 00:34:41 2021 Msieve v. 1.54 (SVN 1030) Wed Nov 17 00:34:41 2021 random seeds: 1927259e d56ea12f Wed Nov 17 00:34:41 2021 factoring 27291809630770299153609870548879850887775823405956097785218794517532994580612959521667436406845548477072574080657125001918482258708028161258802593909600842120949737003116864084843352367826799847229507 (200 digits) Wed Nov 17 00:34:42 2021 no P-1/P+1/ECM available, skipping Wed Nov 17 00:34:42 2021 commencing number field sieve (200-digit input) Wed Nov 17 00:34:42 2021 R0: 809727868221258562180306673938892827902099 Wed Nov 17 00:34:42 2021 R1: 1 Wed Nov 17 00:34:42 2021 A0: 1 Wed Nov 17 00:34:42 2021 A1: 0 Wed Nov 17 00:34:42 2021 A2: 0 Wed Nov 17 00:34:42 2021 A3: 0 Wed Nov 17 00:34:42 2021 A4: 0 Wed Nov 17 00:34:42 2021 A5: 0 Wed Nov 17 00:34:42 2021 A6: 99 Wed Nov 17 00:34:42 2021 skew 1.00, size 1.333e-12, alpha 1.350, combined = 1.453e-13 rroots = 0 Wed Nov 17 00:34:42 2021 Wed Nov 17 00:34:42 2021 commencing relation filtering Wed Nov 17 00:34:42 2021 setting target matrix density to 120.0 Wed Nov 17 00:34:42 2021 estimated available RAM is 16021.5 MB Wed Nov 17 00:34:42 2021 commencing duplicate removal, pass 1 [ . . . skipped 2914 error -n reading relation nnn messages . . . ] [ 2169 error -1 ] [ 1 error -4 ] [ 323 error -5 ] [ 71 error -6 ] [ 140 error -9 ] [ 172 error -11 ] [ 38 error -15 ] Wed Nov 17 01:07:09 2021 skipped 1463 relations with b > 2^32 Wed Nov 17 01:07:09 2021 skipped 409 relations with composite factors Wed Nov 17 01:07:09 2021 found 35860730 hash collisions in 213215130 relations Wed Nov 17 01:07:26 2021 added 1219565 free relations Wed Nov 17 01:07:26 2021 commencing duplicate removal, pass 2 Wed Nov 17 01:09:45 2021 found 33160075 duplicates and 181274620 unique relations Wed Nov 17 01:09:45 2021 memory use: 1321.5 MB Wed Nov 17 01:09:45 2021 reading ideals above 144900096 Wed Nov 17 01:09:45 2021 commencing singleton removal, initial pass Wed Nov 17 01:33:09 2021 memory use: 3012.0 MB Wed Nov 17 01:33:09 2021 reading all ideals from disk Wed Nov 17 01:33:12 2021 memory use: 3112.8 MB Wed Nov 17 01:33:23 2021 commencing in-memory singleton removal Wed Nov 17 01:33:33 2021 begin with 181274620 relations and 157110880 unique ideals Wed Nov 17 01:36:27 2021 reduce to 109537668 relations and 77322690 ideals in 16 passes Wed Nov 17 01:36:27 2021 max relations containing the same ideal: 44 Wed Nov 17 01:36:36 2021 reading ideals above 720000 Wed Nov 17 01:36:36 2021 commencing singleton removal, initial pass Wed Nov 17 01:55:24 2021 memory use: 2756.0 MB Wed Nov 17 01:55:25 2021 reading all ideals from disk Wed Nov 17 01:55:29 2021 memory use: 4453.4 MB Wed Nov 17 01:55:47 2021 keeping 93083110 ideals with weight <= 200, target excess is 586392 Wed Nov 17 01:56:11 2021 commencing in-memory singleton removal Wed Nov 17 01:56:24 2021 begin with 109537668 relations and 93083110 unique ideals Wed Nov 17 01:59:15 2021 reduce to 109532411 relations and 93077853 ideals in 8 passes Wed Nov 17 01:59:15 2021 max relations containing the same ideal: 200 Wed Nov 17 02:00:46 2021 removing 11675542 relations and 9675542 ideals in 2000000 cliques Wed Nov 17 02:00:50 2021 commencing in-memory singleton removal Wed Nov 17 02:01:03 2021 begin with 97856869 relations and 93077853 unique ideals Wed Nov 17 02:03:33 2021 reduce to 96941496 relations and 82466127 ideals in 8 passes Wed Nov 17 02:03:33 2021 max relations containing the same ideal: 192 Wed Nov 17 02:04:54 2021 removing 8879319 relations and 6879319 ideals in 2000000 cliques Wed Nov 17 02:04:58 2021 commencing in-memory singleton removal Wed Nov 17 02:05:09 2021 begin with 88062177 relations and 82466127 unique ideals Wed Nov 17 02:07:24 2021 reduce to 87443705 relations and 74955799 ideals in 8 passes Wed Nov 17 02:07:24 2021 max relations containing the same ideal: 183 Wed Nov 17 02:08:36 2021 removing 8041256 relations and 6041256 ideals in 2000000 cliques Wed Nov 17 02:08:40 2021 commencing in-memory singleton removal Wed Nov 17 02:08:49 2021 begin with 79402449 relations and 74955799 unique ideals Wed Nov 17 02:10:50 2021 reduce to 78841295 relations and 68341593 ideals in 8 passes Wed Nov 17 02:10:50 2021 max relations containing the same ideal: 169 Wed Nov 17 02:11:57 2021 removing 7627455 relations and 5627455 ideals in 2000000 cliques Wed Nov 17 02:12:00 2021 commencing in-memory singleton removal Wed Nov 17 02:12:09 2021 begin with 71213840 relations and 68341593 unique ideals Wed Nov 17 02:13:43 2021 reduce to 70665005 relations and 62153003 ideals in 7 passes Wed Nov 17 02:13:43 2021 max relations containing the same ideal: 159 Wed Nov 17 02:14:43 2021 removing 7385097 relations and 5385097 ideals in 2000000 cliques Wed Nov 17 02:14:46 2021 commencing in-memory singleton removal Wed Nov 17 02:14:53 2021 begin with 63279908 relations and 62153003 unique ideals Wed Nov 17 02:16:27 2021 reduce to 62717078 relations and 56191250 ideals in 8 passes Wed Nov 17 02:16:27 2021 max relations containing the same ideal: 146 Wed Nov 17 02:17:21 2021 removing 7239002 relations and 5239002 ideals in 2000000 cliques Wed Nov 17 02:17:24 2021 commencing in-memory singleton removal Wed Nov 17 02:17:30 2021 begin with 55478076 relations and 56191250 unique ideals Wed Nov 17 02:18:42 2021 reduce to 54881604 relations and 50339682 ideals in 7 passes Wed Nov 17 02:18:42 2021 max relations containing the same ideal: 131 Wed Nov 17 02:19:29 2021 removing 7143822 relations and 5143822 ideals in 2000000 cliques Wed Nov 17 02:19:32 2021 commencing in-memory singleton removal Wed Nov 17 02:19:38 2021 begin with 47737782 relations and 50339682 unique ideals Wed Nov 17 02:20:47 2021 reduce to 47081974 relations and 44519790 ideals in 8 passes Wed Nov 17 02:20:47 2021 max relations containing the same ideal: 121 Wed Nov 17 02:21:28 2021 removing 6757645 relations and 4875676 ideals in 1881969 cliques Wed Nov 17 02:21:30 2021 commencing in-memory singleton removal Wed Nov 17 02:21:35 2021 begin with 40324329 relations and 44519790 unique ideals Wed Nov 17 02:22:40 2021 reduce to 39648631 relations and 38945525 ideals in 9 passes Wed Nov 17 02:22:40 2021 max relations containing the same ideal: 106 Wed Nov 17 02:23:14 2021 removing 173238 relations and 150347 ideals in 22891 cliques Wed Nov 17 02:23:16 2021 commencing in-memory singleton removal Wed Nov 17 02:23:20 2021 begin with 39475393 relations and 38945525 unique ideals Wed Nov 17 02:23:56 2021 reduce to 39474914 relations and 38794699 ideals in 5 passes Wed Nov 17 02:23:56 2021 max relations containing the same ideal: 106 Wed Nov 17 02:24:09 2021 relations with 0 large ideals: 22392 Wed Nov 17 02:24:09 2021 relations with 1 large ideals: 4386 Wed Nov 17 02:24:09 2021 relations with 2 large ideals: 54925 Wed Nov 17 02:24:09 2021 relations with 3 large ideals: 447877 Wed Nov 17 02:24:09 2021 relations with 4 large ideals: 2015793 Wed Nov 17 02:24:09 2021 relations with 5 large ideals: 5464384 Wed Nov 17 02:24:09 2021 relations with 6 large ideals: 9342177 Wed Nov 17 02:24:09 2021 relations with 7+ large ideals: 22122980 Wed Nov 17 02:24:09 2021 commencing 2-way merge Wed Nov 17 02:24:55 2021 reduce to 25535345 relation sets and 24855130 unique ideals Wed Nov 17 02:24:55 2021 commencing full merge Wed Nov 17 02:42:41 2021 memory use: 3508.8 MB Wed Nov 17 02:42:44 2021 found 11734904 cycles, need 11725330 Wed Nov 17 02:42:48 2021 weight of 11725330 cycles is about 1407470297 (120.04/cycle) Wed Nov 17 02:42:48 2021 distribution of cycle lengths: Wed Nov 17 02:42:48 2021 1 relations: 563640 Wed Nov 17 02:42:48 2021 2 relations: 769650 Wed Nov 17 02:42:48 2021 3 relations: 878368 Wed Nov 17 02:42:48 2021 4 relations: 885897 Wed Nov 17 02:42:48 2021 5 relations: 895072 Wed Nov 17 02:42:48 2021 6 relations: 870650 Wed Nov 17 02:42:48 2021 7 relations: 844441 Wed Nov 17 02:42:48 2021 8 relations: 796384 Wed Nov 17 02:42:48 2021 9 relations: 742675 Wed Nov 17 02:42:48 2021 10+ relations: 4478553 Wed Nov 17 02:42:48 2021 heaviest cycle: 28 relations Wed Nov 17 02:42:51 2021 commencing cycle optimization Wed Nov 17 02:43:19 2021 start with 101688385 relations Wed Nov 17 02:49:01 2021 pruned 4624030 relations Wed Nov 17 02:49:01 2021 memory use: 2688.7 MB Wed Nov 17 02:49:01 2021 distribution of cycle lengths: Wed Nov 17 02:49:01 2021 1 relations: 563640 Wed Nov 17 02:49:01 2021 2 relations: 788233 Wed Nov 17 02:49:01 2021 3 relations: 914894 Wed Nov 17 02:49:01 2021 4 relations: 921998 Wed Nov 17 02:49:01 2021 5 relations: 939014 Wed Nov 17 02:49:01 2021 6 relations: 910764 Wed Nov 17 02:49:01 2021 7 relations: 886687 Wed Nov 17 02:49:01 2021 8 relations: 831758 Wed Nov 17 02:49:01 2021 9 relations: 773691 Wed Nov 17 02:49:01 2021 10+ relations: 4194651 Wed Nov 17 02:49:01 2021 heaviest cycle: 28 relations Wed Nov 17 02:49:30 2021 RelProcTime: 8088 Wed Nov 17 02:49:30 2021 elapsed time 02:14:49 Wed Nov 17 03:28:49 2021 Wed Nov 17 03:28:49 2021 Wed Nov 17 03:28:49 2021 Msieve v. 1.54 (SVN 1030) Wed Nov 17 03:28:49 2021 random seeds: 982e28da 6f0b95a7 Wed Nov 17 03:28:49 2021 factoring 27291809630770299153609870548879850887775823405956097785218794517532994580612959521667436406845548477072574080657125001918482258708028161258802593909600842120949737003116864084843352367826799847229507 (200 digits) Wed Nov 17 03:28:50 2021 no P-1/P+1/ECM available, skipping Wed Nov 17 03:28:50 2021 commencing number field sieve (200-digit input) Wed Nov 17 03:28:50 2021 R0: 809727868221258562180306673938892827902099 Wed Nov 17 03:28:50 2021 R1: 1 Wed Nov 17 03:28:50 2021 A0: 1 Wed Nov 17 03:28:50 2021 A1: 0 Wed Nov 17 03:28:50 2021 A2: 0 Wed Nov 17 03:28:50 2021 A3: 0 Wed Nov 17 03:28:50 2021 A4: 0 Wed Nov 17 03:28:50 2021 A5: 0 Wed Nov 17 03:28:50 2021 A6: 99 Wed Nov 17 03:28:50 2021 skew 1.00, size 1.333e-12, alpha 1.350, combined = 1.453e-13 rroots = 0 Wed Nov 17 03:28:50 2021 Wed Nov 17 03:28:50 2021 commencing linear algebra Wed Nov 17 03:28:51 2021 read 11725330 cycles Wed Nov 17 03:29:09 2021 cycles contain 39077317 unique relations Wed Nov 17 03:31:57 2021 read 39077317 relations Wed Nov 17 03:33:31 2021 using 20 quadratic characters above 4294917295 Wed Nov 17 03:35:52 2021 building initial matrix Wed Nov 17 03:43:08 2021 memory use: 4981.2 MB Wed Nov 17 03:43:13 2021 read 11725330 cycles Wed Nov 17 03:43:14 2021 matrix is 11725152 x 11725330 (5461.9 MB) with weight 1555711872 (132.68/col) Wed Nov 17 03:43:14 2021 sparse part has weight 1314545743 (112.11/col) Wed Nov 17 03:45:11 2021 filtering completed in 2 passes Wed Nov 17 03:45:13 2021 matrix is 11725074 x 11725252 (5461.9 MB) with weight 1555709694 (132.68/col) Wed Nov 17 03:45:13 2021 sparse part has weight 1314545201 (112.11/col) Wed Nov 17 03:45:55 2021 matrix starts at (0, 0) Wed Nov 17 03:45:56 2021 matrix is 11725074 x 11725252 (5461.9 MB) with weight 1555709694 (132.68/col) Wed Nov 17 03:45:56 2021 sparse part has weight 1314545201 (112.11/col) Wed Nov 17 03:45:56 2021 saving the first 48 matrix rows for later Wed Nov 17 03:45:57 2021 matrix includes 64 packed rows Wed Nov 17 03:45:59 2021 matrix is 11725026 x 11725252 (5271.4 MB) with weight 1345829578 (114.78/col) Wed Nov 17 03:45:59 2021 sparse part has weight 1264619780 (107.85/col) Wed Nov 17 03:45:59 2021 using block size 8192 and superblock size 1572864 for processor cache size 16384 kB Wed Nov 17 03:46:37 2021 commencing Lanczos iteration (12 threads) Wed Nov 17 03:46:37 2021 memory use: 5058.5 MB Wed Nov 17 03:47:26 2021 linear algebra at 0.0%, ETA 100h53m Wed Nov 17 03:47:41 2021 checkpointing every 120000 dimensions Sun Nov 21 07:52:24 2021 lanczos halted after 185421 iterations (dim = 11725026) Sun Nov 21 07:52:34 2021 recovered 41 nontrivial dependencies Sun Nov 21 07:52:34 2021 BLanczosTime: 361424 Sun Nov 21 07:52:34 2021 elapsed time 100:23:45 Sun Nov 21 07:52:34 2021 Sun Nov 21 07:52:34 2021 Sun Nov 21 07:52:34 2021 Msieve v. 1.54 (SVN 1030) Sun Nov 21 07:52:34 2021 random seeds: d91aeada 423f20bb Sun Nov 21 07:52:34 2021 factoring 27291809630770299153609870548879850887775823405956097785218794517532994580612959521667436406845548477072574080657125001918482258708028161258802593909600842120949737003116864084843352367826799847229507 (200 digits) Sun Nov 21 07:52:35 2021 no P-1/P+1/ECM available, skipping Sun Nov 21 07:52:35 2021 commencing number field sieve (200-digit input) Sun Nov 21 07:52:35 2021 R0: 809727868221258562180306673938892827902099 Sun Nov 21 07:52:35 2021 R1: 1 Sun Nov 21 07:52:35 2021 A0: 1 Sun Nov 21 07:52:35 2021 A1: 0 Sun Nov 21 07:52:35 2021 A2: 0 Sun Nov 21 07:52:35 2021 A3: 0 Sun Nov 21 07:52:35 2021 A4: 0 Sun Nov 21 07:52:35 2021 A5: 0 Sun Nov 21 07:52:35 2021 A6: 99 Sun Nov 21 07:52:35 2021 skew 1.00, size 1.333e-12, alpha 1.350, combined = 1.453e-13 rroots = 0 Sun Nov 21 07:52:35 2021 Sun Nov 21 07:52:35 2021 commencing square root phase Sun Nov 21 07:52:35 2021 reading relations for dependency 1 Sun Nov 21 07:52:36 2021 read 5861613 cycles Sun Nov 21 07:52:46 2021 cycles contain 19540264 unique relations Sun Nov 21 07:54:15 2021 read 19540264 relations Sun Nov 21 07:55:30 2021 multiplying 19540264 relations Sun Nov 21 08:09:03 2021 multiply complete, coefficients have about 625.68 million bits Sun Nov 21 08:09:06 2021 initial square root is modulo 410629 Sun Nov 21 08:23:59 2021 sqrtTime: 1884 Sun Nov 21 08:23:59 2021 p73 factor: 1041056679799963288784139305597824331347092504278281625736107417450816963 Sun Nov 21 08:23:59 2021 p128 factor: 26215488705201295377226607743467829754831852449788547234352514323930130187868704644280927185378376106916578509913730706755234689 Sun Nov 21 08:23:59 2021 elapsed time 00:31:25 *********** Processing f99_127p1.log ************* http://factordb.com/report.php?report=27291809630770299153609870548879850887775823405956097785218794517532994580612959521667436406845548477072574080657125001918482258708028161258802593909600842120949737003116864084843352367826799847229507%3D1041056679799963288784139305597824331347092504278281625736107417450816963*26215488705201295377226607743467829754831852449788547234352514323930130187868704644280927185378376106916578509913730706755234689 1 new factor added to factordb 1 factor already known by factordb 1 Thank you for your contribution