- Last update: May 23, 2023 -Found by Andreas EngeMay 15, 2023 n =86453 is proofen prime ECPP -Found by Kurt BeschornerMay 22, 2023 n =11563: 288876102146873945958113077; P-1: B1 = 35e6 May 22, 2023 n =11599: 14933221091440841710872172904603837; P-1: B1 = 42e6 -Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche, Kurt BeschornerMay 22, 2023 R942/c209: SNFS-difficulty = 314 720M unique raw relations of 1250M are collected currently progress 57.6 %;- Found by YOYO@home/ChelseaOilmanMay 18, 2023 n =1190: 15670675217372765545752167365705617247353811; ecm: B1 = 850e6; sigma = 0:10816724694808590541 -Found by Kurt BeschornerMay 18, 2023 n = 1479: 33549295409851770975125709849074683471; ecm: B1 = 43e6; sigma = 956110076594678 May 18, 2023 n = 6167: 3675840732080772150325112719; ecm: B1 = 1e6; sigma = 5354000922392018 May 18, 2023 n =11531: 2650979795946123118860305521; P-1: B1 = 37e6 May 18, 2023 n =12530: 7688255015384454267929550281; P-1: B1 = 130e6 -Found by YOYO@home/[H]pututuMay 17, 2023 n =1182: 4551047530439682198526844933441545392551140771; ecm: B1 = 850e6; sigma = 0:15946812152344745850 -Found by Alfred EichhornMay 13, 2023 n =86837: 606921353312041199209590707159; ecm: B1 = 5e4; sigma = 3105880448041814 -Found by Kurt BeschornerMay 13, 2023 n = 6137: 43573850930276682505962068323; ecm: B1 = 1e6; sigma = 0:7345291352286289 May 13, 2023 n=147163: 213471125449180111; gr-mfaktc -Found by YOYO@home/crashtech)May 10, 2023 n =1086: 484165712170909795871964783465540188248186710475652666425207; ecm: B1 = 850e6; sigma = 0:10111744675193824145 -Found by Kurt BeschornerMay 10, 2023 n=147047: 5140510902285228893; gr-mfaktc -Found by YOYO@home/biodoc)May 06, 2023 n =1254: 6379603923183116557572498736754081808902892003349145377489; ecm: B1 = 850e6; sigma = 0:3927414157329920254 -Found by Kurt BeschornerMay 05, 2023 n =11327: 40001730885786863979423041; P-1: B1 = 35e6 May 05, 2023 n =11349: 687835220902497655621008880119733; P-1: B1 = 65e6 May 05, 2023 n =11363: 872344334337956979629350525009; P-1: B1 = 40e6 May 05, 2023 n =11367: 237468520263209197782403; P-1: B1 = 60e6 May 05, 2023 n =11371: 4097375604489481212785218131199802399; P-1: B1 = 35e6 May 05, 2023 n=146893: 7885083320671676963; gr-mfaktc -Found by Kurt BeschornerApr 30, 2023 n = 5759: 147876912822130407898624760255369587274609; ecm: B1 = 1e6; sigma = 0:6544452679604896 Apr 30, 2023 n =11295: 604100121206666364956401591238472961; P-1: B1 = 70e6 -Found by Alfred EichhornApr 30, 2023 n =86561: 574110157886554629901013 * 1935362222......c86537; ecm: B1 = 5e4; sigma = 3413144784808669 Apr 30, 2023 n =86767: 46549778844938396044065311 * 2386931020......c86741; ecm: B1 = 5e4; sigma = 8149454847368865 -Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche, Kurt BeschornerApr 30, 2023 R942/c209: SNFS-difficulty = 314 650M unique raw relations of 1250M are collected currently progress 52.0 %;- Found by Kurt BeschornerApr 28, 2023 n =11259: 31027084884604239383041102327843; P-1: B1 = 60e6 Apr 28, 2023 n=146581: 196498205558343511; gr-mfaktc Apr 28, 2023 n=146609: 75180824745686213; gr-mfaktc Apr 28, 2023 n=146701: 1573991583080255237; gr-mfaktc -Found by Kurt BeschornerApr 24, 2023 n = 1461: 917744708434486635227273676744796912321; ecm: B1 = 43e6; sigma = 872312666755562 Apr 24, 2023 n =11225: 112963042579976573200394401; P-1: B1 = 50e6 Apr 24, 2023 n =11227: 223323479301368691853325640271; P-1: B1 = 35e6 -Found by YOYO@home/F!refly)Apr 22, 2023 n = 505: 3045224293530819245851950041691189890170351; ecm: B1 = 850e6; sigma = 0:8671687100396688982 -Found by Kurt BeschornerApr 22, 2023 n =11203: 130498324924129479266749243; P-1: B1 = 40e6 Apr 22, 2023 n =11215: 9427406075097023668093001; P-1: B1 = 50e6 -Found by Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche, Kurt BeschornerApr 18, 2023 n =1340L: 2724793634966652364625335678635927602947729873812054161996498021; SNFS Apr 18, 2023 n =1340L: 599544315766066452392678279212562145297975293811672567632442645781; SNFS R1340L: msieve-log Sat Dec 3 19:04:36 2022 Msieve v. 1.54 (SVN r1044) Sat Dec 3 19:04:36 2022 random seeds: 59fd110e 0892ecd5 Sat Dec 3 19:04:36 2022 factoring 2824060999717593900028240609997173114939282688506071731149392826886472747811352725218864727478113526687376447331262355266873764473312821236938717876306128212369387178706580062129341993787065800621293434058175656594182434340581756565939000282406099971759390002824061 (265 digits) Sat Dec 3 19:04:37 2022 no P-1/P+1/ECM available, skipping Sat Dec 3 19:04:37 2022 commencing number field sieve (265-digit input) Sat Dec 3 19:04:37 2022 R0: -1000000000000000000000000000000000 Sat Dec 3 19:04:37 2022 R1: 1 Sat Dec 3 19:04:37 2022 A0: 1 Sat Dec 3 19:04:37 2022 A1: -10 Sat Dec 3 19:04:37 2022 A2: 50 Sat Dec 3 19:04:37 2022 A3: -200 Sat Dec 3 19:04:37 2022 A4: 700 Sat Dec 3 19:04:37 2022 A5: -2000 Sat Dec 3 19:04:37 2022 A6: 5000 Sat Dec 3 19:04:37 2022 A7: -10000 Sat Dec 3 19:04:37 2022 A8: 10000 Sat Dec 3 19:04:37 2022 skew 0.34, size 5.188e-08, alpha 1.092, combined = 3.006e-15 rroots = 0 Sat Dec 3 19:04:37 2022 commencing relation filtering Sat Dec 3 19:04:37 2022 setting target matrix density to 124.0 Sat Dec 3 19:04:37 2022 estimated available RAM is 130983.0 MB Sat Dec 3 19:04:37 2022 commencing duplicate removal, pass 1 Sat Dec 3 20:08:50 2022 error -1 reading relation 450182162 ... Sat Dec 3 20:43:37 2022 skipped 773801 relations with b > 2^32 Sat Dec 3 20:43:37 2022 skipped 380 relations with composite factors Sat Dec 3 20:43:37 2022 found 90833359 hash collisions in 691395806 relations Sat Dec 3 20:43:37 2022 added 28263 free relations Sat Dec 3 20:43:37 2022 commencing duplicate removal, pass 2 Sat Dec 3 20:51:15 2022 found 7 duplicates and 691424062 unique relations Sat Dec 3 20:51:15 2022 memory use: 4262.0 MB Sat Dec 3 20:51:16 2022 reading ideals above 523042816 Sat Dec 3 20:51:16 2022 commencing singleton removal, initial pass Sat Dec 3 22:21:02 2022 memory use: 11024.0 MB Sat Dec 3 22:21:05 2022 reading all ideals from disk Sat Dec 3 22:21:17 2022 memory use: 14213.3 MB Sat Dec 3 22:22:31 2022 commencing in-memory singleton removal Sat Dec 3 22:23:40 2022 begin with 691424062 relations and 610368432 unique ideals Sat Dec 3 22:54:40 2022 reduce to 453608649 relations and 349375787 ideals in 15 passes Sat Dec 3 22:54:40 2022 max relations containing the same ideal: 43 Sat Dec 3 22:56:20 2022 reading ideals above 720000 Sat Dec 3 22:56:22 2022 commencing singleton removal, initial pass Sun Dec 4 00:26:08 2022 memory use: 11024.0 MB Sun Dec 4 00:26:10 2022 reading all ideals from disk Sun Dec 4 00:26:26 2022 memory use: 20762.8 MB Sun Dec 4 00:28:18 2022 keeping 401976395 ideals with weight <= 200, target excess is 2401950 Sun Dec 4 00:30:49 2022 commencing in-memory singleton removal Sun Dec 4 00:32:02 2022 begin with 453608649 relations and 401976395 unique ideals Sun Dec 4 01:00:40 2022 reduce to 453583935 relations and 401951681 ideals in 11 passes Sun Dec 4 01:00:40 2022 max relations containing the same ideal: 200 Sun Dec 4 01:08:40 2022 removing 16222977 relations and 14222977 ideals in 2000000 cliques Sun Dec 4 01:09:12 2022 commencing in-memory singleton removal Sun Dec 4 01:10:19 2022 begin with 437360958 relations and 401951681 unique ideals Sun Dec 4 01:30:26 2022 reduce to 436904780 relations and 387269595 ideals in 8 passes Sun Dec 4 01:30:26 2022 max relations containing the same ideal: 200 Sun Dec 4 01:38:10 2022 removing 12221780 relations and 10221780 ideals in 2000000 cliques Sun Dec 4 01:38:39 2022 commencing in-memory singleton removal Sun Dec 4 01:39:45 2022 begin with 424683000 relations and 387269595 unique ideals Sun Dec 4 01:59:08 2022 reduce to 424401945 relations and 376765284 ideals in 8 passes Sun Dec 4 01:59:08 2022 max relations containing the same ideal: 198 Sun Dec 4 02:06:39 2022 removing 10953784 relations and 8953784 ideals in 2000000 cliques Sun Dec 4 02:07:07 2022 commencing in-memory singleton removal Sun Dec 4 02:08:12 2022 begin with 413448161 relations and 376765284 unique ideals Sun Dec 4 02:27:13 2022 reduce to 413210441 relations and 367572557 ideals in 8 passes Sun Dec 4 02:27:13 2022 max relations containing the same ideal: 197 Sun Dec 4 02:34:45 2022 removing 10242355 relations and 8242355 ideals in 2000000 cliques Sun Dec 4 02:35:13 2022 commencing in-memory singleton removal Sun Dec 4 02:36:17 2022 begin with 402968086 relations and 367572557 unique ideals Sun Dec 4 02:53:19 2022 reduce to 402753884 relations and 359114987 ideals in 7 passes Sun Dec 4 02:53:19 2022 max relations containing the same ideal: 194 Sun Dec 4 03:00:46 2022 removing 9764427 relations and 7764427 ideals in 2000000 cliques Sun Dec 4 03:01:14 2022 commencing in-memory singleton removal Sun Dec 4 03:02:15 2022 begin with 392989457 relations and 359114987 unique ideals Sun Dec 4 03:21:08 2022 reduce to 392788701 relations and 351148821 ideals in 8 passes Sun Dec 4 03:21:08 2022 max relations containing the same ideal: 192 Sun Dec 4 03:28:20 2022 removing 9421551 relations and 7421551 ideals in 2000000 cliques Sun Dec 4 03:28:45 2022 commencing in-memory singleton removal Sun Dec 4 03:29:46 2022 begin with 383367150 relations and 351148821 unique ideals Sun Dec 4 03:44:48 2022 reduce to 383175148 relations and 343534368 ideals in 7 passes Sun Dec 4 03:44:48 2022 max relations containing the same ideal: 190 Sun Dec 4 03:51:29 2022 removing 9158675 relations and 7158675 ideals in 2000000 cliques Sun Dec 4 03:51:54 2022 commencing in-memory singleton removal Sun Dec 4 03:52:51 2022 begin with 374016473 relations and 343534368 unique ideals Sun Dec 4 04:07:58 2022 reduce to 373829249 relations and 336187516 ideals in 7 passes Sun Dec 4 04:07:58 2022 max relations containing the same ideal: 187 Sun Dec 4 04:14:47 2022 removing 8951493 relations and 6951493 ideals in 2000000 cliques Sun Dec 4 04:15:11 2022 commencing in-memory singleton removal Sun Dec 4 04:16:07 2022 begin with 364877756 relations and 336187516 unique ideals Sun Dec 4 04:30:56 2022 reduce to 364694667 relations and 329052054 ideals in 7 passes Sun Dec 4 04:30:56 2022 max relations containing the same ideal: 186 Sun Dec 4 04:37:35 2022 removing 8791311 relations and 6791311 ideals in 2000000 cliques Sun Dec 4 04:38:00 2022 commencing in-memory singleton removal Sun Dec 4 04:38:54 2022 begin with 355903356 relations and 329052054 unique ideals Sun Dec 4 04:53:20 2022 reduce to 355722105 relations and 322078534 ideals in 7 passes Sun Dec 4 04:53:20 2022 max relations containing the same ideal: 184 Sun Dec 4 04:59:34 2022 removing 8658898 relations and 6658898 ideals in 2000000 cliques Sun Dec 4 04:59:57 2022 commencing in-memory singleton removal Sun Dec 4 05:00:49 2022 begin with 347063207 relations and 322078534 unique ideals Sun Dec 4 05:12:51 2022 reduce to 346882766 relations and 315238277 ideals in 6 passes Sun Dec 4 05:12:51 2022 max relations containing the same ideal: 182 Sun Dec 4 05:19:07 2022 removing 8556397 relations and 6556397 ideals in 2000000 cliques Sun Dec 4 05:19:31 2022 commencing in-memory singleton removal Sun Dec 4 05:20:20 2022 begin with 338326369 relations and 315238277 unique ideals Sun Dec 4 05:35:40 2022 reduce to 338145695 relations and 308500243 ideals in 8 passes Sun Dec 4 05:35:40 2022 max relations containing the same ideal: 178 Sun Dec 4 05:41:31 2022 removing 8473066 relations and 6473066 ideals in 2000000 cliques Sun Dec 4 05:41:52 2022 commencing in-memory singleton removal Sun Dec 4 05:42:40 2022 begin with 329672629 relations and 308500243 unique ideals Sun Dec 4 05:53:31 2022 reduce to 329491812 relations and 301845385 ideals in 6 passes Sun Dec 4 05:53:31 2022 max relations containing the same ideal: 176 Sun Dec 4 05:59:11 2022 removing 8406694 relations and 6406694 ideals in 2000000 cliques Sun Dec 4 05:59:31 2022 commencing in-memory singleton removal Sun Dec 4 06:00:18 2022 begin with 321085118 relations and 301845385 unique ideals Sun Dec 4 06:10:36 2022 reduce to 320901777 relations and 295254344 ideals in 6 passes Sun Dec 4 06:10:36 2022 max relations containing the same ideal: 172 Sun Dec 4 06:16:09 2022 removing 8351915 relations and 6351915 ideals in 2000000 cliques Sun Dec 4 06:16:30 2022 commencing in-memory singleton removal Sun Dec 4 06:17:15 2022 begin with 312549862 relations and 295254344 unique ideals Sun Dec 4 06:30:38 2022 reduce to 312363743 relations and 288715289 ideals in 8 passes Sun Dec 4 06:30:38 2022 max relations containing the same ideal: 169 Sun Dec 4 06:36:01 2022 removing 8312441 relations and 6312441 ideals in 2000000 cliques Sun Dec 4 06:36:22 2022 commencing in-memory singleton removal Sun Dec 4 06:37:06 2022 begin with 304051302 relations and 288715289 unique ideals Sun Dec 4 06:48:44 2022 reduce to 303860554 relations and 282210980 ideals in 7 passes Sun Dec 4 06:48:44 2022 max relations containing the same ideal: 165 Sun Dec 4 06:54:05 2022 removing 8284959 relations and 6284959 ideals in 2000000 cliques Sun Dec 4 06:54:24 2022 commencing in-memory singleton removal Sun Dec 4 06:55:09 2022 begin with 295575595 relations and 282210980 unique ideals Sun Dec 4 07:06:42 2022 reduce to 295381193 relations and 275730482 ideals in 7 passes Sun Dec 4 07:06:42 2022 max relations containing the same ideal: 161 Sun Dec 4 07:12:00 2022 removing 8267593 relations and 6267593 ideals in 2000000 cliques Sun Dec 4 07:12:20 2022 commencing in-memory singleton removal Sun Dec 4 07:13:01 2022 begin with 287113600 relations and 275730482 unique ideals Sun Dec 4 07:24:11 2022 reduce to 286915227 relations and 269263276 ideals in 7 passes Sun Dec 4 07:24:11 2022 max relations containing the same ideal: 160 Sun Dec 4 07:29:20 2022 removing 8261889 relations and 6261889 ideals in 2000000 cliques Sun Dec 4 07:29:39 2022 commencing in-memory singleton removal Sun Dec 4 07:30:19 2022 begin with 278653338 relations and 269263276 unique ideals Sun Dec 4 07:39:34 2022 reduce to 278449728 relations and 262796476 ideals in 6 passes Sun Dec 4 07:39:34 2022 max relations containing the same ideal: 156 Sun Dec 4 07:44:30 2022 removing 8262784 relations and 6262784 ideals in 2000000 cliques Sun Dec 4 07:44:48 2022 commencing in-memory singleton removal Sun Dec 4 07:45:26 2022 begin with 270186944 relations and 262796476 unique ideals Sun Dec 4 07:55:47 2022 reduce to 269975342 relations and 256320747 ideals in 7 passes Sun Dec 4 07:55:47 2022 max relations containing the same ideal: 151 Sun Dec 4 08:00:38 2022 removing 8276204 relations and 6276204 ideals in 2000000 cliques Sun Dec 4 08:00:55 2022 commencing in-memory singleton removal Sun Dec 4 08:01:33 2022 begin with 261699138 relations and 256320747 unique ideals Sun Dec 4 08:11:35 2022 reduce to 261480320 relations and 249824277 ideals in 7 passes Sun Dec 4 08:11:35 2022 max relations containing the same ideal: 150 Sun Dec 4 08:16:14 2022 removing 8294455 relations and 6294455 ideals in 2000000 cliques Sun Dec 4 08:16:31 2022 commencing in-memory singleton removal Sun Dec 4 08:17:06 2022 begin with 253185865 relations and 249824277 unique ideals Sun Dec 4 08:26:51 2022 reduce to 252958087 relations and 243300377 ideals in 7 passes Sun Dec 4 08:26:51 2022 max relations containing the same ideal: 148 Sun Dec 4 08:31:06 2022 removing 8323100 relations and 6323100 ideals in 2000000 cliques Sun Dec 4 08:31:23 2022 commencing in-memory singleton removal Sun Dec 4 08:31:58 2022 begin with 244634987 relations and 243300377 unique ideals Sun Dec 4 08:40:56 2022 reduce to 244395707 relations and 236736340 ideals in 7 passes Sun Dec 4 08:40:56 2022 max relations containing the same ideal: 142 Sun Dec 4 08:45:08 2022 removing 8365688 relations and 6365688 ideals in 2000000 cliques Sun Dec 4 08:45:24 2022 commencing in-memory singleton removal Sun Dec 4 08:46:00 2022 begin with 236030019 relations and 236736340 unique ideals Sun Dec 4 08:54:46 2022 reduce to 235780907 relations and 230119682 ideals in 7 passes Sun Dec 4 08:54:46 2022 max relations containing the same ideal: 139 Sun Dec 4 08:58:56 2022 removing 8418328 relations and 6418328 ideals in 2000000 cliques Sun Dec 4 08:59:11 2022 commencing in-memory singleton removal Sun Dec 4 08:59:44 2022 begin with 227362579 relations and 230119682 unique ideals Sun Dec 4 09:08:14 2022 reduce to 227098454 relations and 223435208 ideals in 7 passes Sun Dec 4 09:08:14 2022 max relations containing the same ideal: 137 Sun Dec 4 09:12:13 2022 removing 4308275 relations and 3431292 ideals in 876983 cliques Sun Dec 4 09:12:28 2022 commencing in-memory singleton removal Sun Dec 4 09:12:58 2022 begin with 222790179 relations and 223435208 unique ideals Sun Dec 4 09:20:04 2022 reduce to 222724758 relations and 219938274 ideals in 6 passes Sun Dec 4 09:20:04 2022 max relations containing the same ideal: 137 Sun Dec 4 09:24:33 2022 relations with 0 large ideals: 116032 Sun Dec 4 09:24:33 2022 relations with 1 large ideals: 75213 Sun Dec 4 09:24:33 2022 relations with 2 large ideals: 429846 Sun Dec 4 09:24:33 2022 relations with 3 large ideals: 2969063 Sun Dec 4 09:24:33 2022 relations with 4 large ideals: 11847544 Sun Dec 4 09:24:33 2022 relations with 5 large ideals: 29838394 Sun Dec 4 09:24:33 2022 relations with 6 large ideals: 49754804 Sun Dec 4 09:24:33 2022 relations with 7+ large ideals: 127693862 Sun Dec 4 09:24:33 2022 commencing 2-way merge Sun Dec 4 09:29:51 2022 reduce to 148546820 relation sets and 145760336 unique ideals Sun Dec 4 09:29:52 2022 commencing full merge Sun Dec 4 11:18:10 2022 memory use: 18214.5 MB Sun Dec 4 11:18:39 2022 found 65812666 cycles, need 65714536 Sun Dec 4 11:18:44 2022 weight of 65714536 cycles is about 8148699392 (124.00/cycle) Sun Dec 4 11:18:44 2022 distribution of cycle lengths: Sun Dec 4 11:18:44 2022 1 relations: 4498289 Sun Dec 4 11:18:44 2022 2 relations: 4635359 Sun Dec 4 11:18:44 2022 3 relations: 5000319 Sun Dec 4 11:18:44 2022 4 relations: 4925280 Sun Dec 4 11:18:44 2022 5 relations: 4853403 Sun Dec 4 11:18:44 2022 6 relations: 4690886 Sun Dec 4 11:18:44 2022 7 relations: 4435118 Sun Dec 4 11:18:44 2022 8 relations: 4212995 Sun Dec 4 11:18:44 2022 9 relations: 3929581 Sun Dec 4 11:18:44 2022 10+ relations: 24533306 Sun Dec 4 11:18:44 2022 heaviest cycle: 28 relations Sun Dec 4 11:19:22 2022 commencing cycle optimization Sun Dec 4 11:23:23 2022 start with 554424154 relations Sun Dec 4 12:03:20 2022 pruned 22965724 relations Sun Dec 4 12:03:21 2022 memory use: 14924.6 MB Sun Dec 4 12:03:22 2022 distribution of cycle lengths: Sun Dec 4 12:03:22 2022 1 relations: 4498289 Sun Dec 4 12:03:22 2022 2 relations: 4755269 Sun Dec 4 12:03:22 2022 3 relations: 5219542 Sun Dec 4 12:03:22 2022 4 relations: 5124024 Sun Dec 4 12:03:22 2022 5 relations: 5077456 Sun Dec 4 12:03:22 2022 6 relations: 4878253 Sun Dec 4 12:03:22 2022 7 relations: 4624032 Sun Dec 4 12:03:22 2022 8 relations: 4363010 Sun Dec 4 12:03:22 2022 9 relations: 4058560 Sun Dec 4 12:03:22 2022 10+ relations: 23116101 Sun Dec 4 12:03:22 2022 heaviest cycle: 28 relations Sun Dec 4 12:07:00 2022 RelProcTime: 61343 Sun Dec 4 12:07:00 2022 elapsed time 17:02:24 Sun Dec 4 13:24:59 2022 commencing linear algebra Sun Dec 4 13:25:11 2022 read 65714536 cycles Sun Dec 4 13:27:00 2022 cycles contain 221299907 unique relations Sun Dec 4 13:41:01 2022 read 221299907 relations Sun Dec 4 13:53:38 2022 using 20 quadratic characters above 4294917295 Sun Dec 4 14:03:46 2022 building initial matrix Sun Dec 4 14:44:26 2022 memory use: 28701.6 MB Sun Dec 4 14:45:06 2022 read 65714536 cycles Sun Dec 4 14:45:12 2022 matrix is 65714359 x 65714536 (31915.3 MB) with weight 8957842656 (136.31/col) Sun Dec 4 14:45:12 2022 sparse part has weight 7643554968 (116.31/col) Sun Dec 4 15:00:04 2022 filtering completed in 2 passes Sun Dec 4 15:00:16 2022 matrix is 65713334 x 65713511 (31915.3 MB) with weight 8957814090 (136.32/col) Sun Dec 4 15:00:16 2022 sparse part has weight 7643547141 (116.32/col) Sun Dec 4 15:02:50 2022 matrix starts at (0, 0) Sun Dec 4 15:02:56 2022 matrix is 65713334 x 65713511 (31915.3 MB) with weight 8957814090 (136.32/col) Sun Dec 4 15:02:56 2022 sparse part has weight 7643547141 (116.32/col) Sun Dec 4 15:02:56 2022 saving the first 48 matrix rows for later Sun Dec 4 15:03:06 2022 matrix includes 64 packed rows Sun Dec 4 15:03:11 2022 matrix is 65713286 x 65713511 (30681.0 MB) with weight 7818384770 (118.98/col) Sun Dec 4 15:03:11 2022 sparse part has weight 7385702074 (112.39/col) Sun Dec 4 15:03:12 2022 using block size 8192 and superblock size 6291456 for processor cache size 65536 kB Sun Dec 4 15:06:50 2022 commencing Lanczos iteration (24 threads) Sun Dec 4 15:06:50 2022 memory use: 30612.5 MB Sun Dec 4 15:11:35 2022 linear algebra at 0.0%, ETA 3280h33m Sun Dec 4 15:13:07 2022 checkpointing every 20000 dimensions Sun Apr 16 02:01:51 2023 lanczos halted after 1039177 iterations (dim = 65713285) Sun Apr 16 02:02:52 2023 recovered 41 nontrivial dependencies Sun Apr 16 02:03:25 2023 BLanczosTime: 310518 Sun Apr 16 02:03:25 2023 elapsed time 86:15:19 Sun Apr 16 02:10:41 2023 commencing square root phase Sun Apr 16 02:10:42 2023 handling dependencies 1 to 64 Sun Apr 16 02:10:42 2023 reading relations for dependency 1 Sun Apr 16 02:10:57 2023 read 32853998 cycles Sun Apr 16 02:11:52 2023 cycles contain 110657400 unique relations Sun Apr 16 02:19:23 2023 read 110657400 relations Sun Apr 16 02:26:26 2023 multiplying 110657400 relations Sun Apr 16 07:01:31 2023 multiply complete, coefficients have about 4446.26 million bits Sun Apr 16 07:02:43 2023 warning: no irreducible prime found, switching to small primes Sun Apr 16 07:04:30 2023 initial square root is modulo 13 Sun Apr 16 14:43:15 2023 Newton iteration failed to converge Sun Apr 16 14:43:15 2023 algebraic square root failed Sun Apr 16 14:43:15 2023 reading relations for dependency 2 Sun Apr 16 14:43:37 2023 read 32856735 cycles Sun Apr 16 14:45:26 2023 cycles contain 110660926 unique relations Sun Apr 16 14:56:27 2023 read 110660926 relations Sun Apr 16 15:12:41 2023 multiplying 110660926 relations Sun Apr 16 19:45:33 2023 multiply complete, coefficients have about 4446.40 million bits Sun Apr 16 19:46:28 2023 warning: no irreducible prime found, switching to small primes Sun Apr 16 19:47:23 2023 initial square root is modulo 13 Mon Apr 17 03:16:32 2023 Newton iteration failed to converge Mon Apr 17 03:16:32 2023 algebraic square root failed Mon Apr 17 03:16:32 2023 reading relations for dependency 3 Mon Apr 17 03:16:53 2023 read 32853641 cycles Mon Apr 17 03:18:40 2023 cycles contain 110646878 unique relations Mon Apr 17 03:29:44 2023 read 110646878 relations Mon Apr 17 03:46:17 2023 multiplying 110646878 relations Mon Apr 17 08:22:31 2023 multiply complete, coefficients have about 4445.88 million bits Mon Apr 17 08:23:29 2023 warning: no irreducible prime found, switching to small primes Mon Apr 17 08:25:56 2023 initial square root is modulo 13 Mon Apr 17 15:54:03 2023 found factor: 599544315766066452392678279212562145297975293811672567632442645781 Mon Apr 17 15:54:03 2023 reading relations for dependency 4 Mon Apr 17 15:54:24 2023 read 32854254 cycles Mon Apr 17 15:56:12 2023 cycles contain 110623390 unique relations Mon Apr 17 16:07:15 2023 read 110623390 relations Mon Apr 17 16:23:54 2023 multiplying 110623390 relations Mon Apr 17 21:01:14 2023 multiply complete, coefficients have about 4444.91 million bits Mon Apr 17 21:02:13 2023 warning: no irreducible prime found, switching to small primes Mon Apr 17 21:05:23 2023 initial square root is modulo 13 Tue Apr 18 04:38:23 2023 sqrtTime: 181662 Tue Apr 18 04:38:23 2023 p64 factor: 2724793634966652364625335678635927602947729873812054161996498021 Tue Apr 18 04:38:23 2023 p66 factor: 599544315766066452392678279212562145297975293811672567632442645781 Tue Apr 18 04:38:23 2023 p136 factor: 1728698150280068137198270521277194937031098932707466058506795177976772363213163863959865690898047286154112976061009434446365564534720661 Tue Apr 18 04:38:23 2023 elapsed time 50:27:42 -Found by YOYO@home/abcApr 18, 2023 n = 503: 30837329959354395729863043937455394320617332690757897759 * 6555624229......c269; ecm: B1 = 850e6; sigma = 0:13802949331132258992 -Found by YOYO@home/vanos512Apr 14, 2023 n = 503: 779021620901226065983070829336777930546503650107187843 * 2021579474......c325; ecm: B1 = 850e6; sigma = 0:977799155199813862 -Found by Kurt BeschornerApr 14, 2023 n =11057: 1986254099801763774631766559897990182201; P-1: B1 = 35e6 Apr 14, 2023 n =11091: 962500955804123759014304641; P-1: B1 = 70e6 Apr 14, 2023 n=146221: 5998182708723144787; gr-mfaktc -Found by Kurt BeschornerApr 10, 2023 n =12453: 341796184231310250867486559; P-1: B1 =50e6 Apr 10, 2023 n=146093: 151661915761207597; gr-mfaktc Apr 10, 2023 n=146141: 14371417644320176961; gr-mfaktc -Found by Alfred EichhornApr 10, 2023 n =66491: 613389642977626279627; ecm: B1 = 5e4; sigma = 4195255829314717 Apr 10, 2023 n =86287: 4911898103137914869707; ecm: B1 = 5e4; sigma = 4209134514182576 Apr 10, 2023 n =86501: 15410977065428877220938889; ecm: B1 = 5e4; sigma = 8852113913822102 -Found by Kurt BeschornerApr 04, 2023 n = 1499: 444025804128316092985120887216489504283; ecm: B1 =11e6; sigma = 8568897179058893 Apr 04, 2023 n =12446: 501279565140480220168322480009; P-1: B1 =72e6 Apr 04, 2023 n =12470: 54121400967366927427316132251; P-1: B1 =85e6 Apr 04, 2023 n=145931: 140529180232862467; gr-mfaktc Apr 04, 2023 n=145931: 17203170484198361951; gr-mfaktc Apr 04, 2023 n=146011: 9597686137133649559; gr-mfaktc -Found by Kurt BeschornerMar 30, 2023 n = 1409: 1658972136253211819285181026106657071203; ecm: B1 =11e6; sigma = 0:7137899537840100 Mar 30, 2023 n = 7713: 169080936973198939009695188449; ecm: B1 = 1e6; sigma = 8231107386027428 -Found by Kurt BeschornerMar 26, 2023 n = 5925: 43863025793294149274559220201; ecm: B1 = 3e6; sigma = 4922290324811982 Mar 26, 2023 n =12192: 469162401428727267767039337537134113; P-1: B1 =12e7 -Found by Kurt BeschornerMar 19, 2023 n =12207: 10326528166018797350437 * 1715045130......c7454; P-1: B1 =25e6 Mar 19, 2023 n =12213: 763235932545359903065517911 * 2819581486......c7565; P-1: B1 =25e6 Mar 19, 2023 n =12235: 601591258998676485551127873393824231 * 2595076444......c9736; P-1: B1 =32e6 Mar 19, 2023 n =12261: 37955669373027254564443249 * 1482911212......c7840; P-1: B1 =40e6 Mar 19, 2023 n =12265: 1813958675305432752569322631 * 4800373524......c8813; P-1: B1 =36e6 Mar 19, 2023 n =12267: 18405350080498464623296129 * 4840124705......c7696; P-1: B1 =47e6 Mar 19, 2023 n =12299: 22125123861628175114991691769399 * 4891881550......c10437; P-1: B1 =28e6 Mar 19, 2023 n=145381: 2814792192994658867 * 2189685857......c145354; gr-mfaktc -Found by Kurt BeschornerMar 16, 2023 n =12163: 496260125167000972637979481 * 6088164284......c12112; P-1: B1 =25e6 Mar 16, 2023 n =12197: 10004791369113378925808671 * 1125672810......c12139; P-1: B1 =25e6 -via factordb.comMar 16, 2023 n =12124: 2139064861096863878756665012801 * 4721689455......c5154 -Found by Kurt BeschornerMar 11, 2023 n = 7671: 674395585663400091968059519; ecm: B1 = 1e6; sigma = 3409682457607698 Mar 11, 2023 n =12032: 92983911220947001823535969927169 * 4585704060......c5799; P-1: B1 =60e6 Mar 11, 2023 n =12049: 3372749981360027032747859544183787 * 2578564574......c12005; P-1: B1 =20e6 Mar 11, 2023 n =12067: 89906797410807096964226575517 * 7161228750......c10898; P-1: B1 =25e6 Mar 11, 2023 n =12281: 248827112460081163452938551 * 4465394064......c12254; P-1: B1 =25e6 -Found by Kurt BeschornerMar 07, 2023 n = 5477: 4679405672910425988720134731403; ecm: B1 = 1e6; sigma = 0:3115122745024891 Mar 07, 2023 n = 5479: 1175364770706692672051045921; ecm: B1 = 1e6; sigma = 0:1144629584039427 Mar 07, 2023 n =12520: 4068220734739164961413104154881 * 1710302891......c4952; P-1: B1 =60e6 Mar 07, 2023 n =12521: 769774332048986028482292393529 * 1169173824......c11815; P-1: B1 =22e6 Mar 07, 2023 n=144379: 1699316036580040519; gr-mfaktc Mar 07, 2023 n=144427: 763086575042246237; gr-mfaktc -Found by anonymousMar 02, 2023 n = 535: 5524033451004407234027306056468463430580799351; ecm: B1 =11e6; sigma = 18425523954857577889 -Found by Kurt BeschornerFeb 27, 2023 n = 1401: 58268747277891114808753379164057926641266957; ecm: B1 =43e6; sigma = 0:6490871995892487 Feb 27, 2023 n = 5443: 443994631081204304270374441813; ecm: B1 = 1e6; sigma = 0:5948351044689566 Feb 27, 2023 n=144259: 76455980665279759; gr-mfaktc Feb 27, 2023 n=144323: 172755778190621357; gr-mfaktc -Found by Alfred EichhornFeb 27, 2023 n =66067: 170472935791113746723 * 6517815311......c66046; ecm: B1 = 5e4; sigma = 3477637411662594 -Found by Kurt BeschornerFeb 21, 2023 n =4700L: 11808992310281998733369892724417205617004114801; ecm: B1 =43e6; sigma = 0:7170719374266148 -Found by YOYO@home/George BradshawFeb 20, 2023 n =2940M: 1044845694645532615440579579338650347038975456315052342814839763722781 * 1142522103......P220; ecm: B1 = 2.9e9 Feb 19, 2023 n = 5539: 1893231723717766314342428938609; ecm: B1 = 1e6; sigma = 0:7066187404725017 Feb 19, 2023 n=143981: 2321713302266455397; gr-mfaktc -Found by Alfred EichhornFeb 13, 2023 n =85661: 6614343997747250116357 * 5117655327......c85621; ecm: B1 = 5e4; sigma = 6480425124612577 Feb 13, 2023 n =85717: 425606074726924486880292881 * 2610656137......c85690; ecm: B1 = 5e4; sigma = 3051452821892657 -Found by Kurt BeschornerFeb 13, 2023 n=143791: 1345704687193284449; gr-mfaktc Feb 13, 2023 n=143873: 13969422389289652231; gr-mfaktc -Found by Kurt BeschornerFeb 06, 2023 n = 5393: 475100434323400295514257533; ecm: B1 = 1e6; sigma = 0:6611271429378146 Feb 06, 2023 n=143413: 1308539818288185547; gr-mfaktc -Found by Kurt BeschornerJan 27, 2023 n = 5387: 9695327619043500745964526925561 * 2796548747......P5266; ecm: B1 = 1e6; sigma = 0:7981023013264326 -Found by Kurt BeschornerJan 22, 2023 n = 6515: 3767892910446507496334403721; ecm: B1 = 1e6; sigma = 3731867255296034 Jan 22, 2023 n=143159: 2036663968824321689; gr-mfaktc -Found by Alfred EichhornJan 22, 2023 n =48767: 1167442730202131101408241; ecm: B1 = 5e4; sigma = 8294335290315311 Jan 22, 2023 n =48809: 1374219663422487935701343573; ecm: B1 = 5e4; sigma = 3897725353774069 Jan 22, 2023 n =65701: 119577379525448930631404597329; ecm: B1 = 5e4; sigma = 2055672717664719 -via factordb.comJan 22, 2023 n =10216: 5409058353794643031157855569; ecm -Found by YOYO@home/user69Jan 14, 2023 n = 1104: 22651858853653655359251914860948647902217772389947313979551649; ecm: B1 = 29e8; sigma = 0:17929758445905874757 -Found by Kurt BeschornerJan 08, 2023 n = 1427: 5103036982727761098957792950596409693 * 2786241011......P1380; ecm: B1 =11e6; sigma = 5634177607918577 Jan 08, 2023 n=142871: 284235246048470947; gr-mfaktc Jan 08, 2023 n=200100L: 180218186261101; ecm: B1 = 5e4 Jan 08, 2023 n=200100L: 936682576624695001; ecm: B1 = 5e4 Jan 08, 2023 n=200100L: 18748796798446051801; ecm: B1 = 5e4; sigma = 0:15615885390781000624 -Found by Kurt BeschornerJan 04, 2023 n = 1411: 3094716767820821084333461991848123; ecm: B1 =11e6; sigma = 0:1262114500939137 Jan 04, 2023 n=142711: 4728660163685159483; gr-mfaktc

ECM efforts | |
---|---|

with Rn: 1 < n < 2000 (May 22, 2023) | with Rn: 1999 < n < 3000 (May 18, 2023) |

with Rn: 2999 < n < 4000 (May 18, 2023) | with Rn: 3999 < n < 5000 (Feb 27, 2023) |

with Rn: 4999 < n < 6000 (May 22, 2023) | with Rn: 5999 < n < 7000 (May 18, 2023) |

with Rn: 6999 < n < 8000 (May 18, 2023) | with Rn: 7999 < n < 9000 (Jan 08, 2023) |

with Rn: 8999 < n <10000 (May 18, 2023) | with Rn: 9999 < n <11000 (May 22, 2023) |

with Rn: 10999 < n <12000 (May 23, 2023) | with Rn: 11999 < n <14980L/M (May 18, 2023) |

currently ECM-efforts by yoyo@home: ecm-curves | |||||
---|---|---|---|---|---|

B1 = 11e7/17500 curves/ numbers < 751 digits |
617 in progress |
619 in progress |
625 in progress |
629 in progress |
641 in progress |

B1 = 26e7/45000 curves/ numbers < 450 digits |
479 in progress |
481 in progress |
557 in progress |
1136 in progress |
1160 in progress |

B1 = 85e7/70000 curves/ numbers < 400 digits |
505 in progress |
627 in progress |
1086 in progress |
1254 in progress |
1386 in progress |

B1 = 29e8/nnnn curves/ numbers < 400 digits |
537 in progress |
567 in progress |
645 in progress |
693 in progress |
1218 in progress |

Factorizations | |
---|---|

Repunits: R1 - R2500 (May 22, 2023) | Repunits: R2501 - R5000 (Feb 27, 2023) |

Repunits: R5001 - R7500 (May 18, 2023) | Repunits: R7501 - R10000 (Mar 30, 2023) |

Repunits: R10001 - R12500 (May 22, 2023) | Repunits: R12501 - R14980L/M (Feb 27, 2023) |

Status: 3 - 1M 1M - 2M 2M - 3M 3M - 4M 4M - 5M 5M - 6M 6M - 7M 7M - 8M 8M - 9M 9M - 10M

Details: 3 - 1M 1M - 2M 2M - 3M 3M - 4M 4M - 5M 5M - 6M 6M - 7M 7M - 8M 8M - 9M 9M - 10M

- Danilo Nitsche, Kurt Beschorner

Fan Ming, Phil, Richard Kapek, kkmrkkblmbrbk (aka GP2), Pavlos, Ryan Propper, Edo Rajh, Alfred Reich, Nejc Skoberne, Sebastian,

MattStath, Maksym Voznyy, wims, Kurt Beschorner

Exponent | Primes/PRP found by ... |

- 10ˆ20 | R19 = prime |

- 10ˆ100 | R23 = prime |

- 10ˆ1000 | R317 = prime |

- 10ˆ10000 | R1031 = prime WD (Dec 1985) |

- 10ˆ50000 | R49081 = prime Paul Underwood (Mar 2022) |

- 10ˆ100000 | R86453 = prime Andreas Enge (May 15, 2023) |

- 10ˆ250000 | R109297 = PRP Paul Bourdelais - Harvey Dubner (Apr 2007) |

- 10ˆ500000 | R270343 = PRP Maksym Voznyy - Anton Budnyy (Jul 2007) |

- 10ˆ7500000 | R5794777 = PRP S. Batalov - Ryan Propper (Apr 2021) |

- 10ˆ10000000 | R8177207 = PRP S. Batalov - Ryan Propper (May 2021) |

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