- Last update: Apr 20, 2024 - Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche, Kurt Beschorner Apr 20, 2024 R471/c301: SNFS-difficulty = 314; 1884M unique raw relations and 2046M unique ideals are collected; target: 3000M unique raw relations; currently progress 63 %;- Found by Kurt Beschorner Apr 20, 2024 n =13265: 1290668262735890884325761; P-1: B1 = 160e6 Apr 20, 2024 n =13269: 2427709598953063772750559319; P-1: B1 = 140e6 Apr 20, 2024 n =13282: 7480441362289212211418170076851; P-1: B1 = 275e6 Apr 20, 2024 n=100118: 2213092040998752430410504041; P-1: B1 = 55e6 Apr 20, 2024 n=100119: 135903373927930060098307; P-1: B1 = 16e6 - Found by YOYO@home/Gouik Apr 14, 2024 n = 651: 18761726160436368465384904039916752385257524435903404839 * 1876172616......P298; ecm: B1 = 2.9e9; sigma = 0:15913088270609817167 - Found by Kurt Beschorner Apr 14, 2024 n = 659: 149909896971539560984652057797566890100299359259837 * 2846412051......P570; ecm B1 =11e7; sigma = 0:4226535905387705 Apr 14, 2024 n =13251: 12296428612923146794052172531037; P-1: B1 = 160e6 Apr 14, 2024 n=100098: 17325552919871634468049; P-1: B1 = 35e6 Apr 14, 2024 n=100105: 144493170813628346471; P-1: B1 = 17e6 - Found by Kurt Beschorner Apr 07, 2024 n =12771: 314224898531750364984013; P-1: B1 = 160e6 Apr 07, 2024 n =12771: 238824929913673638997582363; P-1: B1 = 160e6 Apr 07, 2024 n =13158: 68581509075838066581670099156849; P-1: B1 = 140e6 Apr 07, 2024 n=100079: 6068994380637463834185467; P-1: B1 = 10e6 Apr 07, 2024 n=100363: 1016391456544433853547; P-1: B1 = 15e6 Apr 07, 2024 n=100379: 66388841093949454147; P-1: B1 = 15e6 Apr 07, 2024 n=100417: 286825064305738012150961; P-1: B1 = 15e6 Apr 07, 2024 n=100459: 22782665966376356329; P-1: B1 = 15e6 Apr 07, 2024 n=100517: 17361707890852059740855929; P-1: B1 = 16e6 Apr 07, 2024 n=100519: 101147426853941494945049; P-1: B1 = 16e6 Apr 07, 2024 n=100559: 95610786074378976307; P-1: B1 = 16e6 Apr 07, 2024 n=100591: 1291405529277231477460435169; P-1: B1 = 16e6 Apr 07, 2024 n=100669: 2806386502390207284249241483; P-1: B1 = 16e6 Apr 07, 2024 n=100811: 281860909823518349338601; P-1: B1 = 16e6 Apr 07, 2024 n=100817: 507962247211408289; P-1: B1 = 16e6 Apr 07, 2024 n=147941: 37558743005776041839 *** P-1: B1 = 8.8e6 *** 37558743005776041839 = composite and all small factors are known Apr 07, 2024 n=147977: 114084230812902508795841; P-1: B1 = 8.8e6 - Found by Alfred Eichhorn Apr 01, 2024 n =79337: 9145312312862925909640977721; ecm B1 = 5e4; sigma = 7464158329682606 Apr 01, 2024 n =79427: 1284283667245483471417172921; ecm B1 = 5e4; sigma = 5590089294394130 - Found by Kurt Beschorner Apr 01, 2024 n =14549: 4005021584963302209471746401; P-1: B1 = 14e7 Apr 01, 2024 n =14747: 252632181388341912925629401; P-1: B1 = 14e7 Apr 01, 2024 n=147799: 24724127378034035880566249; P-1: B1 = 8.8e6 - Found by Kurt Beschorner Mar 29, 2024 n = 713: 31070861795268450321139284436817844468068239; ecm: B1 = 11e7; sigma = 4800378595879534 Mar 29, 2024 n =13175: 422686483673200816801; P-1: B1 = 56e6 Mar 29, 2024 n =13187: 2072300747670825285092510827; P-1: B1 = 35e6 - Found by Alfred Reich Mar 24, 2024 n = 8914: 1680862037183886151986766096284943; ecm - Found by Anonymous Mar 24, 2024 n = 695: 8397548714483238063663389786354175256018831 ecm: B1 = 3e6 Mar 24, 2024 n = 3019: 3139259690159845335135979206644089969 Mar 24, 2024 n = 3023: 107018760919046918330490860941009 Mar 24, 2024 n = 3097: 57179667256536688029715193166703488359641 - Found by Kurt Beschorner Mar 22, 2024 n = 655: 2603347672124284040229582413722681735668626862241; ecm: B1 =11e7; sigma = 0:3963412036452067 Mar 22, 2024 n =13108: 44331551068710498173013783881; P-1: B1 = 94e6 Mar 22, 2024 n =13131: 276600609054191780298991; P-1: B1 = 60e6 - Found by Alfred Eichhorn Mar 18, 2024 n =73019: 1323020047051919660237; ecm B1 = 5e4; sigma = 1341369107631264 - Found by NFS@home Mar 17, 2024 n =1420L: 247950328172294050136754481538951409190364075674960071233394038784474817867352415168199452660754962688866321901; SNFS - Found by NFS@home Mar 13, 2024 n =1420M: 150068993718936038588227244574366404285884513639444374982663085901463237698274075317154251769989823397761; GNFS - Found by Alfred Eichhorn Mar 07, 2024 n =72949: 11188142905007361998205693557 * 9931148721......c72920; mprime: B1 = 5e4; sigma = 2465366403184896 Mar 07, 2024 n =78787: 30646987091435527679 * 3625514990......c78767; ecm: B1 = 5e4; sigma = 4416129323271267 Mar 07, 2024 n =79103: 3282162411477160845528807707 * 3385302041......c79075; ecm: B1 = 5e4; sigma = 3031437210351021 - Found by Alfred Reich Mar 05, 2024 n =16438: 8011505186691120932663584183 Mar 05, 2024 n =31562: 35592147487676920463 Mar 05, 2024 n =31604: 2431162452185039922126541 Mar 05, 2024 n =31682: 13058845505765837 Mar 05, 2024 n =31696: 849225733803273972858599153 Mar 05, 2024 n =31732: 12771504608380995375745169 Mar 05, 2024 n =31788: 105480823136736321938422081 Mar 05, 2024 n =31792: 1124862107191521105889 Mar 05, 2024 n =31794: 88267267172719831813 Mar 05, 2024 n =31800: 2327427960927441388068001 Mar 05, 2024 n =31808: 83385115506231195528257 Mar 05, 2024 n =31816: 198354176884174670377 Mar 05, 2024 n =31822: 21223407316494369009703 Mar 05, 2024 n =31832: 3373542187061259737 2108806334021560983361 Mar 05, 2024 n =31842: 121268577044650107133 Mar 05, 2024 n =31854: 92478474903470166967 Mar 05, 2024 n =31864: 517996647217868312873 Mar 05, 2024 n =31866: 37189661286468510889 3098654567470609089997 Mar 05, 2024 n =31890: 1551509199121673731 Mar 05, 2024 n =31926: 332930426175643113828277 Mar 05, 2024 n =31966: 123359708509810153686691 Mar 05, 2024 n =32130: 1101128720508897764041 Mar 05, 2024 n =32250: 103526289664797293205001 Mar 05, 2024 n =32264: 3506122191377189811281 Mar 05, 2024 n =32354: 4806730864780971961801 Mar 05, 2024 n =32530: 70162268702104794108054001 Mar 05, 2024 n =32600: 135544576240587889388401 Mar 05, 2024 n =32672: 13439466818282691185899297 Mar 05, 2024 n =32702: 20917601776236212557397 Mar 05, 2024 n =32730: 796330404308868018721 Mar 05, 2024 n =32844: 690079785060125329306463041 Mar 05, 2024 n =32944: 412860491812863204455537 Mar 05, 2024 n =33010: 416764638677805715091 Mar 05, 2024 n =33024: 364050131659653121 Mar 05, 2024 n =33054: 71589813152701862139157 Mar 05, 2024 n =33054: 135387308179639106311687 Mar 05, 2024 n =33066: 7387282999728627733 Mar 05, 2024 n =33070: 16257062187566054875451 Mar 05, 2024 n =33088: 34926628299166139009 Mar 05, 2024 n =33104: 8551561512557816621435377 Mar 05, 2024 n =33118: 231101417324066259413 Mar 05, 2024 n =33154: 51802540286077905853 Mar 05, 2024 n =33192: 745340157524833631072553889 Mar 05, 2024 n =33218: 9920977165696226539241 Mar 05, 2024 n =33268: 484235742067818657125466001 Mar 05, 2024 n =33274: 6113122020582917 Mar 05, 2024 n =33280: 145579549664727792641 Mar 05, 2024 n =33282: 88824651074901323677 24239066927517630699877 Mar 05, 2024 n=196634: 17096212042074765825002047 Mar 05, 2024 n=197074: 289351276331986049 - Found by Kurt Beschorner Feb 29, 2024 n =10335: 1549956242052833162118620306401; ecm: B1 = 1e6; sigma = 0:6780271921532861 Feb 29, 2024 n =10408: 14370694506223165288707229970617; ecm: B1 = 1e6; sigma = 8806874869199137 Feb 29, 2024 n =10424: 8606812592746882737809302233409; ecm: B1 = 1e6; sigma = 4247777747100720 Feb 29, 2024 n =11414: 1167728903112961341541531507691; ecm: B1 = 1e6; sigma = 3216681011953137 Feb 19, 2024 n=147449: 11828400848099433799; gr-mfaktc - Found by Sam Wagstaff Feb 26, 2024 n = 818: 89909332182322637174267412766780073091874834080069255427757; ecm - Found by Kurt Beschorner Feb 24, 2024 n = 649: 3185748559637643456066133367277689749860976255110653; ecm: B1 =11e7; sigma = 0:3763781678208499 - Found by Alfred Eichhorn Feb 14, 2024 n =69859: 8434285361839984895778533; ecm: B1 = 5e4; sigma = 2445261498672925 - Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche, Oliver Kruse, Kurt Beschorner Feb 10, 2024 n = 942: 9755872853901756680890615403191792297388117293582105055568357694889056982187114874692197915708047; SNFS Details: - R942: SNFS-difficulty = 314 Sat Nov 11 11:17:54 2023 Msieve v. 1.54 (SVN r1044) Sat Nov 11 11:17:54 2023 random seeds: 60253a75 007cd855 Sat Nov 11 11:17:54 2023 factoring 30862083832190969399642448329237079281358998786734541342232902569072683505580523380381489228423400116527554057338104357145657543175005161681489015756307835902130639405231933246244136812560041424780296737530889 (209 digits) Sat Nov 11 11:17:55 2023 no P-1/P+1/ECM available, skipping Sat Nov 11 11:17:55 2023 commencing number field sieve (209-digit input) Sat Nov 11 11:17:55 2023 R0: -10000000000000000000000000000000000000000000000000000 Sat Nov 11 11:17:55 2023 R1: 1 Sat Nov 11 11:17:55 2023 A0: 1 Sat Nov 11 11:17:55 2023 A1: 0 Sat Nov 11 11:17:55 2023 A2: 0 Sat Nov 11 11:17:55 2023 A3: -10 Sat Nov 11 11:17:55 2023 A4: 0 Sat Nov 11 11:17:55 2023 A5: 0 Sat Nov 11 11:17:55 2023 A6: 100 Sat Nov 11 11:17:55 2023 skew 0.64, size 2.684e-15, alpha -0.127, combined = 1.160e-15 rroots = 0 Sat Nov 11 11:17:55 2023 commencing relation filtering Sat Nov 11 11:17:55 2023 setting target matrix density to 130.0 Sat Nov 11 11:17:55 2023 estimated available RAM is 130983.0 MB Sat Nov 11 11:17:55 2023 commencing duplicate removal, pass 1 Sat Nov 11 11:52:23 2023 error -15 reading relation 196874611 ... Sat Nov 11 15:51:51 2023 skipped 1120644 relations with b > 2^32 Sat Nov 11 15:51:51 2023 skipped 2634 relations with composite factors Sat Nov 11 15:52:00 2023 found 325844461 hash collisions in 1439959899 relations Sat Nov 11 15:52:28 2023 commencing duplicate removal, pass 2 Sat Nov 11 17:18:01 2023 found 8457401 duplicates and 1431502498 unique relations Sat Nov 11 17:18:01 2023 memory use: 16280.0 MB Sat Nov 11 17:18:03 2023 reading ideals above 812974080 Sat Nov 11 17:18:03 2023 commencing singleton removal, initial pass Sat Nov 11 22:20:10 2023 memory use: 21024.0 MB Sat Nov 11 22:20:15 2023 reading all ideals from disk Sat Nov 11 22:22:13 2023 memory use: 26910.1 MB Sat Nov 11 22:25:23 2023 commencing in-memory singleton removal Sat Nov 11 22:28:29 2023 begin with 1431502498 relations and 1210425856 unique ideals Sat Nov 11 23:38:05 2023 reduce to 962297124 relations and 696430793 ideals in 15 passes Sat Nov 11 23:38:05 2023 max relations containing the same ideal: 53 Sat Nov 11 23:42:10 2023 reading ideals above 720000 Sat Nov 11 23:42:14 2023 commencing singleton removal, initial pass Sun Nov 12 03:28:50 2023 memory use: 21024.0 MB Sun Nov 12 03:28:54 2023 reading all ideals from disk Sun Nov 12 03:31:44 2023 memory use: 44648.7 MB ... Tue Nov 14 08:39:49 2023 commencing in-memory singleton removal Tue Nov 14 08:40:17 2023 begin with 236428517 relations and 235660066 unique ideals Tue Nov 14 08:47:03 2023 reduce to 236285362 relations and 230413441 ideals in 6 passes Tue Nov 14 08:47:03 2023 max relations containing the same ideal: 85 Tue Nov 14 08:51:28 2023 relations with 0 large ideals: 127875 Tue Nov 14 08:51:28 2023 relations with 1 large ideals: 95486 Tue Nov 14 08:51:28 2023 relations with 2 large ideals: 1301900 Tue Nov 14 08:51:28 2023 relations with 3 large ideals: 7741623 Tue Nov 14 08:51:28 2023 relations with 4 large ideals: 25166632 Tue Nov 14 08:51:28 2023 relations with 5 large ideals: 49597077 Tue Nov 14 08:51:28 2023 relations with 6 large ideals: 62285102 Tue Nov 14 08:51:28 2023 relations with 7+ large ideals: 89969667 Tue Nov 14 08:51:28 2023 commencing 2-way merge Tue Nov 14 08:56:46 2023 reduce to 150480987 relation sets and 144609066 unique ideals Tue Nov 14 08:56:47 2023 commencing full merge Tue Nov 14 10:39:21 2023 memory use: 18337.9 MB Tue Nov 14 10:39:51 2023 found 67501310 cycles, need 66981266 Tue Nov 14 10:39:56 2023 weight of 66981266 cycles is about 8707922449 (130.01/cycle) Tue Nov 14 10:39:56 2023 distribution of cycle lengths: Tue Nov 14 10:39:56 2023 1 relations: 3801061 Tue Nov 14 10:39:56 2023 2 relations: 4306316 Tue Nov 14 10:39:56 2023 3 relations: 4711699 Tue Nov 14 10:39:56 2023 4 relations: 4725778 Tue Nov 14 10:39:56 2023 5 relations: 4836562 Tue Nov 14 10:39:56 2023 6 relations: 4738034 Tue Nov 14 10:39:56 2023 7 relations: 4697005 Tue Nov 14 10:39:56 2023 8 relations: 4502168 Tue Nov 14 10:39:56 2023 9 relations: 4303068 Tue Nov 14 10:39:56 2023 10+ relations: 26359575 Tue Nov 14 10:39:56 2023 heaviest cycle: 28 relations Tue Nov 14 10:40:32 2023 commencing cycle optimization Tue Nov 14 10:44:49 2023 start with 578109023 relations Tue Nov 14 11:23:20 2023 pruned 25164870 relations Tue Nov 14 11:23:21 2023 memory use: 15674.6 MB Tue Nov 14 11:23:21 2023 distribution of cycle lengths: Tue Nov 14 11:23:21 2023 1 relations: 3801061 Tue Nov 14 11:23:21 2023 2 relations: 4418872 Tue Nov 14 11:23:21 2023 3 relations: 4910588 Tue Nov 14 11:23:21 2023 4 relations: 4919179 Tue Nov 14 11:23:21 2023 5 relations: 5064834 Tue Nov 14 11:23:21 2023 6 relations: 4959291 Tue Nov 14 11:23:21 2023 7 relations: 4926516 Tue Nov 14 11:23:21 2023 8 relations: 4712847 Tue Nov 14 11:23:21 2023 9 relations: 4494751 Tue Nov 14 11:23:21 2023 10+ relations: 24773327 Tue Nov 14 11:23:21 2023 heaviest cycle: 28 relations Tue Nov 14 11:26:57 2023 RelProcTime: 259742 Tue Nov 14 11:26:57 2023 elapsed time 72:09:03 - Linear Algebra was performed by Oliver Kruse using CADO and MSIEVE-GPU - remove duplicates with CADO - compile CADO with FLAGS_SIZE='-DSIZEOF_P_R_VALUES=8'. - run dup1. - run freerel to get the renumber table. - count the number of relations exactly (!). - run dup2. - run purge, making sure that -col-min-index is not too small and that -keep is set to 0. - convert all relations back to msieve format using convert_rels. - the version used is not yet officially available; the currently used CADO version is not error-free - build a matrix with the desired target density using msieve - upload the matrix file to LambdaLabs, while building Greg Childers msieve-GPU on the target system - execute the LA (without root step) on a rented 80-GB-VRAM ( H100); time: about 73hours! - get the dependency file (.dep) back to the local system - execute the root step (msieve -nc3) locally - Found by Kurt Beschorner Jan 30, 2024 n = 7263: 45518092928487766421674692049; ecm: B1 = 1e6; sigma = 7088526130537034 Jan 30, 2024 n =10750: 463203376918616978211875828162251; ecm: B1 = 1e6; sigma = 4552105348097849 Jan 30, 2024 n =10982: 208734985170341186165263799659; ecm: B1 = 1e6; sigma = 3988817073548606 Jan 30, 2024 n =11732: 442226965725515979200555021; ecm: B1 = 1e6; sigma = 4621185563765660 - Found by YOYO@home/p3d-cluster Jan 24, 2024 n = 1190: 1965071455547075976451793652436868115828909241266827512665803201; ecm: B1 = 7.6e9; sigma = 0:15698366658329656990 - Found by Alfred Eichhorn Jan 18, 2024 n =69239: 910886990662166228413268011249; ecm: B1 = 5e4; sigma = 6280182721233907 Jan 18, 2024 n =72103: 4460034397243806489721; ecm: B1 = 5e4; sigma = 8461366130542283 - Found by Yousuke Koide Jan 04, 2024 n = 838: 1574200835907997335817135918163629758761675764557540970547321; ecm: B1 =30e7; sigma = 2:6044893835634751021 - Found by Kurt Beschorner Dec 29, 2023 n = 5218: 1549339884595838182802063495302219; ecm: B1 = 3e6; sigma = 397965861566570 Dec 29, 2023 n =13067: 381885318948041718125341213; P-1: B1 = 30e6 - Found by Kurt Beschorner Dec 24, 2023 n = 995: 4496923550405592963004409447842948530549521; ecm: B1 =11e7; sigma = 0:5671941614311594 Dec 24, 2023 n = 8007: 74443633132160172610790541671227; ecm: B1 = 1e6; sigma = 0:6028324384104991 Dec 24, 2023 n = 8037: 38508757046525878223205656060816329; ecm: B1 = 1e6; sigma = 0:3759056719098403 Dec 24, 2023 n = 8883: 12310848646124592471308612180728921; ecm: B1 = 1e6; sigma = 0:3494728591877324 Dec 24, 2023 n =11326: 40934864723372094733948186127; ecm: B1 = 1e6; sigma = 5146009827622450 Dec 24, 2023 n =11452: 7472836251387998526237506669 * 1826911946......P4825; ecm: B1 = 1e6; sigma = 1977351273509168 Dec 24, 2023 n =13023: 230223522995046177583541761; P-1: B1 = 54e6 - Found by Alfred Eichhorn Dec 24, 2023 n =77543: 77297845932591945905323363; ecm: B1 = 5e4; sigma = 3292210568046258 - Found by Alfred Reich Dec 21, 2023 n =18184: 2999683797882171117794957593 Dec 21, 2023 n =18404: 28939901929607431090928021 Dec 21, 2023 n =18572: 1395833760418327547808581 Dec 21, 2023 n =19254: 8012907944831068727941411 Dec 21, 2023 n =33320: 4427186909972179259838401 - Found by Alfred Reich Dec 20, 2023 n = 3011: 8942391479719801452292494613336089209 Dec 20, 2023 n =14455: 489319115826935587481 Dec 20, 2023 n =14661: 2165330367619921 Dec 20, 2023 n =14795: 4048097292935081 Dec 20, 2023 n =14853: 511549491340399609 Dec 20, 2023 n =15221: 113644547512332978607643 Dec 20, 2023 n =15699: 10624829026502227 Dec 20, 2023 n =16695: 755227848837566643841 Dec 20, 2023 n =16701: 1227568110509881227264391 Dec 20, 2023 n =16737: 168553822144677480521683 Dec 20, 2023 n =16747: 74070322256744898297308507 Dec 20, 2023 n =16841: 620455417003224993360171431 Dec 20, 2023 n =16849: 24739034223678109074881 Dec 20, 2023 n =17243: 814444883421117551614082147 Dec 20, 2023 n =17245: 155693450841751574639034031 Dec 20, 2023 n =17311: 14999480628769610993923 Dec 20, 2023 n =17375: 739314538130107951001 Dec 20, 2023 n =20071: 74547860758815373271 Dec 20, 2023 n =20131: 47582407370784897455643173 Dec 20, 2023 n =20797: 1786576375704401 Dec 20, 2023 n =20797: 545083931830093828949827 Dec 20, 2023 n =21245: 449449693573017271 Dec 20, 2023 n =21655: 78322892986293521 Dec 20, 2023 n =21855: 1250215154727214321 Dec 20, 2023 n =22197: 236105297414411041 Dec 20, 2023 n =28343: 17154421679728688611733 Dec 20, 2023 n =28683: 128269750956599848571083 Dec 20, 2023 n =22813: 48889525947960512557 Dec 20, 2023 n =28701: 26190257570986323889 Dec 20, 2023 n =28707: 37968841700959424053 Dec 20, 2023 n =28715: 7164324052002846998561 Dec 20, 2023 n =28739: 3307617341965244677 Dec 20, 2023 n =28741: 213281116559381933 Dec 20, 2023 n =28771: 6839335443984322559791591 Dec 20, 2023 n =28773: 1432473151044421351 Dec 20, 2023 n =28787: 17452463683720934618443 Dec 20, 2023 n =28793: 107729921768353339709278728271 Dec 20, 2023 n =28827: 8965801237961719 Dec 20, 2023 n =28851: 562907856025988923 Dec 20, 2023 n =28857: 781696861139188693 Dec 20, 2023 n =28863: 72626191769479286825479 Dec 20, 2023 n =28889: 1836020337675150820850399 Dec 20, 2023 n =28893: 1119609406628084929 Dec 20, 2023 n =28917: 5016781796997460267 Dec 20, 2023 n =28969: 29971869223020582290473283 Dec 20, 2023 n =28973: 30035356299547571519 Dec 20, 2023 n =28983: 2485184297947357 Dec 20, 2023 n =33509: 183241489617927721 Dec 20, 2023 n =33545: 341666355771684992831 Dec 20, 2023 n =33731: 179483876541541877 Dec 20, 2023 n =34021: 85102612807734679 Dec 20, 2023 n =34229: 15425102807783813 Dec 20, 2023 n =34323: 4316303364408121 Dec 20, 2023 n =34335: 476691729296970601 Dec 20, 2023 n =34493: 181725387787542851677 Dec 20, 2023 n =34601: 109590398634678361 Dec 20, 2023 n =34701: 3699717585157714957 Dec 20, 2023 n =35711: 3547134933742597523 Dec 20, 2023 n =34727: 848750426478622794281 Dec 20, 2023 n =35785: 308525947202492927694481 Dec 20, 2023 n =35967: 104786371002391933 Dec 20, 2023 n =35981: 10913297684973476959 Dec 20, 2023 n =36407: 187764261619621287222203 Dec 20, 2023 n =36501: 63530141741093471083 Dec 20, 2023 n =36599: 22908933029439221923559 Dec 20, 2023 n =36651: 12313462832515609 Dec 20, 2023 n =36993: 360367423259726573068159 Dec 20, 2023 n =37259: 36120871319278778707 Dec 20, 2023 n =37275: 4738831762857111151 Dec 20, 2023 n =38051: 4998132147851203729889 Dec 20, 2023 n =38191: 1006862581086363643 Dec 20, 2023 n =50023: 4764590035602476593642900627 Dec 20, 2023 n =50033: 111396848810420973131254970077 Dec 20, 2023 n =50053: 3332542117417047121 Dec 20, 2023 n =50107: 739274547390854471267 Dec 20, 2023 n =50161: 1185818574457825928808524849 Dec 20, 2023 n =50165: 58757029733533021144561 Dec 20, 2023 n =50167: 1921667933049467681969827 Dec 20, 2023 n =50169: 122233627565365351561 Dec 20, 2023 n =50169: 15545788938471163 Dec 20, 2023 n =50179: 80836423819964062258281685561 Dec 20, 2023 n =50217: 103752473896238200564849 Dec 20, 2023 n =50237: 25065431837599561 Dec 20, 2023 n =50257: 6847939337800443973 Dec 20, 2023 n =50263: 27710492289574389441479 Dec 20, 2023 n =50281: 5687482637315709077 Dec 20, 2023 n =50293: 13374240956667438361 Dec 20, 2023 n =50303: 8830608239134503692333 Dec 20, 2023 n =50335: 41169581415000435413231 Dec 20, 2023 n =50337: 1067956299378797599 Dec 20, 2023 n =50343: 26573360388347783822173 Dec 20, 2023 n =50347: 193887384394507 Dec 20, 2023 n =50347: 2343977597107436159 Dec 20, 2023 n =50371: 33601903199020899719 Dec 20, 2023 n =50373: 14948265618296083 Dec 20, 2023 n =50375: 325115776091070342079001 Dec 20, 2023 n =50379: 25227746700749692564921 Dec 20, 2023 n =50395: 42682697894075536841 Dec 20, 2023 n =50403: 391075333227921472639 Dec 20, 2023 n =50419: 26245281971114892371338151 Dec 20, 2023 n =50435: 6298901266834986348001 Dec 20, 2023 n =50475: 82090457132654401801 Dec 20, 2023 n =50483: 331006874283646178073271 Dec 20, 2023 n =50499: 1244334600058275757 Dec 20, 2023 n =50499: 300677443743864513961 Dec 20, 2023 n =50507: 5945467046556194551 Dec 20, 2023 n =50515: 8292732448341241 Dec 20, 2023 n =50555: 255982417916670432644911 Dec 20, 2023 n =85011: 153007511300335462119871 Dec 20, 2023 n =85011: 232709170133079769 Dec 20, 2023 n =85019: 17443094606296892413 Dec 20, 2023 n =85025: 592924356031373845340342801 Dec 20, 2023 n =86013: 172382128070013257348413 Dec 20, 2023 n =86021: 8465041416832770625883 Dec 20, 2023 n =86039: 1397010786205026634801 Dec 20, 2023 n =86045: 305298208311139013081 Dec 20, 2023 n =86059: 4421540972306530329354356847209 Dec 20, 2023 n =86089: 1350585733253581613 Dec 20, 2023 n =86107: 146769172059705119 Dec 20, 2023 n =86115: 189424363720506914761 Dec 20, 2023 n =86117: 24450460650450892157 Dec 20, 2023 n =86131: 97633641121672399 Dec 20, 2023 n =86135: 182340085122473951 Dec 20, 2023 n =86139: 2991253508299621633267 Dec 20, 2023 n =86147: 384727887232145364679 Dec 20, 2023 n =86153: 107367251262944032757 Dec 20, 2023 n =86155: 2191331972732928983471 Dec 20, 2023 n =86165: 234488903705217978332231 Dec 20, 2023 n =86169: 3297589613093688138769 Dec 20, 2023 n =86185: 3763308972446878471 Dec 20, 2023 n =86195: 16219892223096883241 Dec 20, 2023 n =86199: 590830280529735004723 Dec 20, 2023 n =86227: 13258604500360151 Dec 20, 2023 n =86231: 507285038495597027 Dec 20, 2023 n =86247: 9054217173992034056797 Dec 20, 2023 n =86253: 1187505818229219241 Dec 20, 2023 n =86285: 4587258038248431751 Dec 20, 2023 n =86289: 10416210115559681959 Dec 20, 2023 n =86295: 47413425370219222711 Dec 20, 2023 n =86303: 181535303215366285151 Dec 20, 2023 n =86315: 1162916266135643614121 Dec 20, 2023 n =86325: 172042522615287001 Dec 20, 2023 n =86343: 124892184654067 Dec 20, 2023 n =86375: 23375289651796005751 Dec 20, 2023 n =86383: 4647596429612159 Dec 20, 2023 n =86397: 5728786701675522613 Dec 20, 2023 n =86431: 26538521786213413 Dec 20, 2023 n =86433: 163740043475175485443 Dec 20, 2023 n =86449: 231210066482152769881 Dec 20, 2023 n =86457: 55622873351688133 Dec 20, 2023 n =86465: 233640559961800241 Dec 20, 2023 n =86469: 101317896121856707 Dec 20, 2023 n =86475: 58267305374978790001 Dec 20, 2023 n =86477: 18353810898330538895090137009 Dec 20, 2023 n =86487: 420803923639304819764723 Dec 20, 2023 n =86493: 12103887572821705849 Dec 20, 2023 n =86505: 249422228370063391 Dec 20, 2023 n =86513: 247295867808603618187 Dec 20, 2023 n =86525: 4817268828673482853594201 Dec 20, 2023 n =86527: 31215381315929231 Dec 20, 2023 n =86541: 182200466272378202923 Dec 20, 2023 n =86559: 2041431607993578439 Dec 20, 2023 n =86567: 16435080963410897214672471773 Dec 20, 2023 n =86575: 183562088733647891695034351 Dec 20, 2023 n =86583: 232936458164286131557 Dec 20, 2023 n =86595: 2203950449780923853178942391 Dec 20, 2023 n =86597: 17361190988249081 Dec 20, 2023 n =86603: 98169724723437049 Dec 20, 2023 n =86605: 95168863923738791 Dec 20, 2023 n =86611: 1781967587073920947 Dec 20, 2023 n =86617: 106929326599631 Dec 20, 2023 n =86619: 9012265857305568081362893 Dec 20, 2023 n =86623: 125153542435533997081 Dec 20, 2023 n =86637: 144736502030089 Dec 20, 2023 n =86649: 1531470091074997 Dec 20, 2023 n =86653: 72959338813451614333517 Dec 20, 2023 n =86669: 13308375982048941751 Dec 20, 2023 n =86683: 195974795808605317093 Dec 20, 2023 n =86687: 125635351177897163249 Dec 20, 2023 n =86689: 169953555311266216783520239 Dec 20, 2023 n =86691: 10807655421701887849 Dec 20, 2023 n =86697: 6236817986961731262709747 Dec 20, 2023 n =86699: 1344173781299256740402292911 Dec 20, 2023 n =86709: 516877046864047895551 Dec 20, 2023 n =86711: 552883191657835460802457111 Dec 20, 2023 n =86715: 238310515915927498157853191311 Dec 20, 2023 n =86723: 11941360995299191 Dec 20, 2023 n =86725: 25757429267543894403001 Dec 20, 2023 n =86727: 1429615650652541083 Dec 20, 2023 n =86729: 7192827878409029829881 Dec 20, 2023 n =86737: 1166211644179052479 Dec 20, 2023 n =86745: 445670432786861074231 Dec 20, 2023 n =86763: 11485301536223961871 Dec 20, 2023 n =86773: 176912840509964999837 Dec 20, 2023 n =86793: 8276903445085129 Dec 20, 2023 n =86795: 11391215673425588821882441 Dec 20, 2023 n =86799: 216031593685511055601 Dec 20, 2023 n =86819: 772716325079153060871883 Dec 20, 2023 n =86845: 42140157888831985511 Dec 20, 2023 n =86847: 2397685651276009 Dec 20, 2023 n =86849: 3329918641774774298201 Dec 20, 2023 n =86855: 1533409900143431911 Dec 20, 2023 n =86859: 186941224833839187834547 Dec 20, 2023 n =86867: 761837163085846717 Dec 20, 2023 n =86871: 282482466391164199 Dec 20, 2023 n =86873: 20069473248628003 Dec 20, 2023 n =86883: 2254833001167136544883409 Dec 20, 2023 n =86887: 5612431570273603 Dec 20, 2023 n =86901: 307276354484316460203013 Dec 20, 2023 n =86921: 41952504985766397447386879 Dec 20, 2023 n =86927: 452888882130921479072231 Dec 20, 2023 n =86937: 20892393354908311 Dec 20, 2023 n =86945: 60259619432786801 Dec 20, 2023 n =86959: 325147991607694020209 Dec 20, 2023 n =86977: 1375303813878391 Dec 20, 2023 n =86989: 1979272861060373929 - Found by Alfred Reich Dec 15, 2023 n=100135: 3837462737953265401 Dec 15, 2023 n=100173: 2969954606258713681 Dec 15, 2023 n=100231: 2914352098217302241 Dec 15, 2023 n=100375: 4607776309587001 Dec 15, 2023 n=100381: 19584474697037077 Dec 15, 2023 n=100461: 1543588566527893 Dec 15, 2023 n=100533: 784155971193235573 Dec 15, 2023 n=100625: 6187747093963751 Dec 15, 2023 n=100723: 3056471727756902850809 Dec 15, 2023 n=100789: 3418673430568813 Dec 15, 2023 n=100841: 4362243266618329 Dec 15, 2023 n=100867: 711526897239954563 Dec 15, 2023 n=100897: 5888604761294197 Dec 15, 2023 n=100951: 2554364607905813 Dec 15, 2023 n=100955: 2734123743480191 Dec 15, 2023 n=100997: 26555827334882705627 Dec 15, 2023 n=101013: 129274221741124132399 Dec 15, 2023 n=101029: 250532745483017969 Dec 15, 2023 n=101093: 27700938064778930383483 Dec 15, 2023 n=101125: 42666204444819001 Dec 15, 2023 n=101227: 4090612959903653 Dec 15, 2023 n=101245: 36188574289273287631 Dec 15, 2023 n=101301: 321148260456397088922397 Dec 15, 2023 n=101345: 4162330127811881 Dec 15, 2023 n=101367: 41464815440580476533 Dec 15, 2023 n=101491: 1594258423248401 Dec 15, 2023 n=101565: 149868027410913543576511 Dec 15, 2023 n=101589: 3143999213920929601 Dec 15, 2023 n=101589: 7614368404345783519 Dec 15, 2023 n=101601: 107321559496605501670875997 Dec 15, 2023 n=101667: 3143777989348357 Dec 15, 2023 n=101735: 20297398668389475551 Dec 15, 2023 n=101825: 431825008439158751 Dec 15, 2023 n=101867: 872157355506442751 Dec 15, 2023 n=101885: 784674572749197742081 Dec 15, 2023 n=102175: 293665357109039401 Dec 15, 2023 n=102201: 814695681588870973 Dec 15, 2023 n=102277: 3122977068292333547 Dec 15, 2023 n=102289: 126748336203333307 Dec 15, 2023 n=102465: 207107572459396099591 Dec 15, 2023 n=102467: 7555451327561831 Dec 15, 2023 n=102545: 370801842837453241 Dec 15, 2023 n=102635: 61200245310873761 Dec 15, 2023 n=102649: 81260329743351875293 Dec 15, 2023 n=102651: 3492264482228879683 Dec 15, 2023 n=102699: 182263241323164871 Dec 15, 2023 n=102721: 179744652469762055464837 Dec 15, 2023 n=102995: 183835357989580481 Dec 15, 2023 n=103085: 932431536648643481 Dec 15, 2023 n=103151: 4809941921451319 Dec 15, 2023 n=103191: 16546105617914242129 Dec 15, 2023 n=103345: 297885870585907561 Dec 15, 2023 n=103351: 2146699373067199 Dec 15, 2023 n=103355: 86198034626410591921 Dec 15, 2023 n=103379: 498834504820599733 Dec 15, 2023 n=103387: 1054001812218495236881 Dec 15, 2023 n=103501: 29708713591543717 Dec 15, 2023 n=103587: 115419307547119692733 Dec 15, 2023 n=103731: 15441661173635077 Dec 15, 2023 n=103805: 502694679147531001 Dec 15, 2023 n=103897: 1421959882999511 Dec 15, 2023 n=103911: 38661929840986726979587 Dec 15, 2023 n=103941: 3971322750844219159 Dec 15, 2023 n=104039: 1328134429968347 Dec 15, 2023 n=104045: 457092448405210351 Dec 15, 2023 n=104083: 8686106162973577157 Dec 15, 2023 n=104179: 21279779120623334648147 Dec 15, 2023 n=104403: 214812463280593047481 Dec 15, 2023 n=104405: 180759156912895961 Dec 15, 2023 n=104557: 5967681434215597951 Dec 15, 2023 n=104585: 827602746591653761 Dec 15, 2023 n=104825: 95568321451822801 Dec 15, 2023 n=104863: 81923175399022583671 Dec 15, 2023 n=104939: 33030670517942404991 Dec 15, 2023 n=105025: 1832894758101088601 Dec 15, 2023 n=105183: 248810634564639031 Dec 15, 2023 n=105343: 10052122403340284569 Dec 15, 2023 n=105493: 2133823579526959 Dec 15, 2023 n=105535: 3212309889596111 Dec 15, 2023 n=105551: 18630699774014234689 Dec 15, 2023 n=105591: 4231208739438799 Dec 15, 2023 n=105697: 1397106568159665373 Dec 15, 2023 n=105709: 1279312203357107 Dec 15, 2023 n=105857: 18376121591761450163 Dec 15, 2023 n=105899: 47251222530599615917 Dec 15, 2023 n=105913: 11607188817757815495119 Dec 15, 2023 n=106025: 1699293051524681401 Dec 15, 2023 n=106063: 32452825705922197 Dec 15, 2023 n=106085: 62847272094664961 Dec 15, 2023 n=106191: 157822803094190797 Dec 15, 2023 n=106211: 3099924361660351 Dec 15, 2023 n=106333: 1487230996431253 Dec 15, 2023 n=106351: 488114500109675111 Dec 15, 2023 n=106389: 1892357809243043203 Dec 15, 2023 n=106481: 1683789986941862587 Dec 15, 2023 n=106489: 3071056904705205037 Dec 15, 2023 n=106587: 1523734470635599 Dec 15, 2023 n=106675: 32019890393185001 Dec 15, 2023 n=106741: 91231303979441359 Dec 15, 2023 n=106777: 15443104098436169 Dec 15, 2023 n=106885: 117266248077130038751 Dec 15, 2023 n=106919: 47955034386944813 Dec 15, 2023 n=106929: 830601200888179957 Dec 15, 2023 n=107013: 2880076611770053 Dec 15, 2023 n=107049: 1142136377959279 Dec 15, 2023 n=107177: 33266524060889323 Dec 15, 2023 n=107181: 1706060406505249 Dec 15, 2023 n=107341: 160176806097297289 Dec 15, 2023 n=107397: 5488065931492369 Dec 15, 2023 n=107489: 48495106832112403 Dec 15, 2023 n=107567: 36511360633631124083 Dec 15, 2023 n=107751: 5009980645619083 Dec 15, 2023 n=107777: 110439144397154542933 Dec 15, 2023 n=107803: 1085853943084507 Dec 15, 2023 n=107823: 5163493115786359 Dec 15, 2023 n=107859: 21226233829029319 Dec 15, 2023 n=107963: 472353529203679718401 Dec 15, 2023 n=107975: 2568555393447751 Dec 15, 2023 n=108017: 7306008478860001 Dec 15, 2023 n=108039: 328549190415243037 Dec 15, 2023 n=108047: 822493223707650311 Dec 15, 2023 n=108133: 12387032989905877 Dec 15, 2023 n=108177: 171099894013390366477 Dec 15, 2023 n=108303: 140821880761709083 Dec 15, 2023 n=108437: 5613735491012573 Dec 15, 2023 n=108453: 16620626507489927551 Dec 15, 2023 n=108467: 3806681380770523 Dec 15, 2023 n=108523: 312745257752929889 Dec 15, 2023 n=108527: 1814075573993069477 Dec 15, 2023 n=108577: 1025437956573694427 Dec 15, 2023 n=108579: 1892548991278357 Dec 15, 2023 n=108801: 28294660608248803231 Dec 15, 2023 n=108891: 61861143034857043 Dec 15, 2023 n=108937: 314951847893125362543271 Dec 15, 2023 n=108965: 1222688699234680511 Dec 15, 2023 n=108981: 173078160296374287503893 Dec 15, 2023 n=108983: 5769932437797431 Dec 15, 2023 n=108983: 15298274105696359 Dec 15, 2023 n=109219: 1500767402131867453 Dec 15, 2023 n=109245: 404857376204925961 Dec 15, 2023 n=109281: 1007210230511227 Dec 15, 2023 n=109317: 815072972953274965755853 Dec 15, 2023 n=109361: 21363620525646068867 Dec 15, 2023 n=109419: 11808968710122043 Dec 15, 2023 n=109505: 1698128483203793521 Dec 15, 2023 n=109529: 10295720312597147 Dec 15, 2023 n=109615: 150272834900921921 Dec 15, 2023 n=109627: 2586140491753253 Dec 15, 2023 n=109649: 471992327325974353387 Dec 15, 2023 n=109669: 3128160982523249 Dec 15, 2023 n=109825: 1066778190409801 Dec 15, 2023 n=109887: 21934471123273243 Dec 15, 2023 n=110259: 1811836946567467 Dec 15, 2023 n=110289: 4041490592752573 Dec 15, 2023 n=110405: 72872965020101921 Dec 15, 2023 n=110525: 30599902441931401 Dec 15, 2023 n=110549: 10359600801809323 Dec 15, 2023 n=110549: 1464794141204058293 Dec 15, 2023 n=110559: 15791777855837569 Dec 15, 2023 n=110593: 1315182280298923 Dec 15, 2023 n=110733: 20564201445896599 Dec 15, 2023 n=110739: 53618918350318231 Dec 15, 2023 n=110757: 61702090848726378079 Dec 15, 2023 n=110763: 94121726153898529 Dec 15, 2023 n=110797: 1180023707856124441 Dec 15, 2023 n=110915: 1976092414032241 Dec 15, 2023 n=110925: 2104133922586351 Dec 15, 2023 n=110959: 4400759212849398494947 Dec 15, 2023 n=110965: 2147054012123681 Dec 15, 2023 n=110981: 863466738106791677 Dec 15, 2023 n=110999: 172004495876274228077 Dec 15, 2023 n=111019: 3165798633813492307 Dec 15, 2023 n=111171: 730461908429774893 Dec 15, 2023 n=111197: 56063990159297441 Dec 15, 2023 n=111421: 19873787465690675761 Dec 15, 2023 n=111525: 16382075180553151 Dec 15, 2023 n=111545: 74962693130499511 Dec 15, 2023 n=111683: 8770432091919499947089 Dec 15, 2023 n=112079: 4094728195251761 Dec 15, 2023 n=112143: 1243331950087483 Dec 15, 2023 n=112235: 60453500620453631 Dec 15, 2023 n=112373: 14767663648782907 Dec 15, 2023 n=112377: 23189783849693722837 Dec 15, 2023 n=112411: 40357361682456391 Dec 15, 2023 n=112455: 14164153316926831 Dec 15, 2023 n=112533: 48645513597081391 Dec 15, 2023 n=112829: 25509858732142434707 Dec 15, 2023 n=112857: 530854488744679279 Dec 15, 2023 n=112863: 109287729669619213 Dec 15, 2023 n=112897: 5208119049888191 Dec 15, 2023 n=113055: 3897684646917151 Dec 15, 2023 n=113057: 18272816353970327129 Dec 15, 2023 n=113323: 290927000667873641 Dec 15, 2023 n=113519: 4153695722375809 Dec 15, 2023 n=113533: 1640256169423187 Dec 15, 2023 n=113633: 39178941015154279 Dec 15, 2023 n=113681: 73461005958611729 Dec 15, 2023 n=113767: 79609807322522003 Dec 15, 2023 n=113939: 1421871353169947 Dec 15, 2023 n=113961: 5940695149229431 Dec 15, 2023 n=113973: 153086658970467781723 Dec 15, 2023 n=114085: 1123215780014351 Dec 15, 2023 n=114099: 2568163970965471 Dec 15, 2023 n=114249: 1079278665166921 Dec 15, 2023 n=114275: 8886527645578801 Dec 15, 2023 n=114293: 3745859640714801161 Dec 15, 2023 n=114297: 20980452161136067 Dec 15, 2023 n=114425: 16107717154754801 Dec 15, 2023 n=114439: 95707240444230533 Dec 15, 2023 n=114511: 364870659059502227 Dec 15, 2023 n=114539: 5956528984881037 Dec 15, 2023 n=114625: 3174716337430751 Dec 15, 2023 n=114807: 368109918140380125403 Dec 15, 2023 n=114813: 1166977694731969 Dec 15, 2023 n=114867: 527812794542940300001 Dec 15, 2023 n=115007: 653699808940014533 Dec 15, 2023 n =20100: 9662726996752755499068773593201 Dec 15, 2023 n =23132: 590929466313489821402869 Dec 15, 2023 n =60380: 5489303444931911663517401 Dec 15, 2023 n =61260: 20803848204472329730901341 Dec 15, 2023 n =61460: 113034432345960488485781 Dec 15, 2023 n =62340: 752673643167614497799785541394241 Dec 15, 2023 n =62660: 58828730801039608072318544761 Dec 15, 2023 n =63020: 3051795672158010000082331741 Dec 15, 2023 n =63540: 4100353212798453277070657101 Dec 15, 2023 n =63620: 356898400373658530175204427175462741 Dec 15, 2023 n =63700: 1499570870116484267020464001 Dec 15, 2023 n =67660: 33555270039905405328461 Dec 15, 2023 n =70300: 72263010384456334711970501 Dec 15, 2023 n =70940: 10809515298855507478951981921671862661 Dec 15, 2023 n =83420: 1461027981707744016319382101 Dec 15, 2023 n =90700: 85415032842444600391991101 Dec 15, 2023 n =92660: 1296044802473948687999681 - Found by Alfred Reich Dec 12, 2023 n =60337: 5568672008838260813; ecm Dec 12, 2023 n =60419: 2639148885143589521; ecm Dec 12, 2023 n =60437: 3286388182528049; ecm Dec 12, 2023 n =60511: 124616446994291701483; ecm Dec 12, 2023 n =60515: 139118657789148311; ecm Dec 12, 2023 n =60561: 1131847019916979352401; ecm Dec 12, 2023 n =60667: 7025355422879412427; ecm Dec 12, 2023 n =60699: 278133968442962197; ecm Dec 12, 2023 n =75625: 542516370778170978751; ecm Dec 12, 2023 n =75777: 61490101914688201; ecm Dec 12, 2023 n =75827: 22795183518565425900347; ecm Dec 12, 2023 n =75911: 93538524605199587; ecm Dec 12, 2023 n=100025: 152501370425473874211345401; ecm - Found by Kurt Beschorner Dec 09, 2023 n = 5158: 12526504286553414480387071457504877; ecm: B1 = 3e6; sigma = 0:2553564566552160 Dec 09, 2023 n = 5941: 100907536708134675930973500425627843; ecm: B1 = 1e6; sigma = 0:5413159547376008 Dec 09, 2023 n = 6275: 8352737420744820793174812768694070571151 * 4324856989......P4936; ecm: B1 = 1e6; sigma = 0:598971611001117 Dec 09, 2023 n = 9914: 21119725592364935371554207390169; ecm: B1 = 1e6; sigma = 0:8488974959025917 Dec 09, 2023 n =12981: 227455692714607938429312523; P-1: B1 = 50e6 Dec 09, 2023 n=147377: 6505129998515294448791; ecm: B1 = 5e4; sigma = 0:670963036774753 - Found by Alfred Reich Dec 07, 2023 n =11212: 83791510283897781068562569; ecm: B1 =25e4; sigma = 4305484695987158 Dec 07, 2023 n =11298: 405327039373714068134452699; ecm: B1 =25e4; sigma = 4462813532609925 Dec 07, 2023 n=11300L: 2182180350286462924030858025501; ecm: B1 = 1e6; sigma = 7144502905419721 Dec 07, 2023 n=11300L: 51476539527811997194031844173935851401; ecm: B1 = 1e6; sigma = 5918365906898771 Dec 07, 2023 n =11310: 17689651111602228006889768921; ecm: B1 =25e4; sigma = 8158972006967651 Dec 07, 2023 n =11358: 1117402462196473692911852287; ecm Dec 07, 2023 n =11358: 428311146848369988856041100891; ecm: B1 =25e4; sigma = 5086655985489555 Dec 07, 2023 n =11366: 52303090474636039617938659612733; ecm: B1 =25e4; sigma = 5827917219724994 Dec 07, 2023 n =11658: 72329534173671071455834840507927; ecm: B1 =25e4; sigma = 5631683109611796 Dec 07, 2023 n=11660L: 40492576319292955850829024592793701609134641; ecm: B1 = 1e6; sigma = 6343068577069312 Dec 07, 2023 n =11666: 186838644187268048751647381663; ecm: B1 =25e4; sigma = 571545193689189 Dec 07, 2023 n =11716: 192323520543231793960953379469; ecm: B1 =25e4; sigma = 2802833690821320 Dec 07, 2023 n =11762: 59087229310237473190324133; ecm: B1 =25e4; sigma = 4593314167755052 Dec 07, 2023 n=11820M: 306089199113717892024275119681; ecm: B1 = 1e6; sigma = 8309856703213704 Dec 07, 2023 n =11822: 55825391503338973544921658331; ecm: B1 =25e4; sigma = 8199557882983776 Dec 07, 2023 n =11996: 6354860762748834663192340609; ecm: B1 =25e4; sigma = 205576270073522 Dec 07, 2023 n =12026: 6893048385881275758815788126453931; ecm: B1 =25e4; sigma = 7294461903791317 Dec 07, 2023 n =12118: 171813130989462977163422287571; ecm: B1 =25e4; sigma = 1807550361382550 Dec 07, 2023 n =12472: 4460931746141906126885900765588297; ecm: B1 =25e4; sigma = 1694915245350751 - Found by Alfred Reich Dec 06, 2023 n =10710: 35796682173053028162358962001; ecm: B1 = 1e6 Dec 06, 2023 n =10734: 2614042951033680019624870081; ecm: B1 =25e4; sigma = 7989499509182453 Dec 06, 2023 n =10736: 23833035179077111324245900289; ecm: B1 =25e4; sigma = 2401096546753386 Dec 06, 2023 n =10846: 79743601441260353939635797344699; ecm: B1 =25e4; sigma = 1280250833160802 Dec 06, 2023 n =10846: 10305097943509542737876418011074291; ecm: B1 =25e4; sigma = 1452405752900911 Dec 06, 2023 n =10864: 16717412159798663380636472177; ecm: B1 =25e4; sigma = 3501656591714898 Dec 06, 2023 n =10880: 6583700555707288764935464961; ecm Dec 06, 2023 n =10892: 1431524229570210282674041885081; ecm: B1 =25e4; sigma = 274494665663402 Dec 06, 2023 n =10974: 13614572979286286502530862521731; ecm: B1 =25e4; sigma = 8574888540092621 Dec 06, 2023 n =10986: 4742648965537267382209475329; ecm Dec 06, 2023 n =10990: 566556816853418729839417001; ecm: B1 =25e4; sigma = 8143587754056583 Dec 06, 2023 n =11032: 4733344496763640974691920410617; ecm Dec 06, 2023 n =11036: 294573797733621430922028523081; ecm Dec 06, 2023 n =11040: 273936751955640120264911619220481281; ecm Dec 06, 2023 n =11142: 78670807981822580935210744213; ecm: B1 =25e4; sigma = 1749671451701082 Dec 06, 2023 n =11142: 22878072073574740342173268358677; ecm Dec 06, 2023 n =11144: 70776007670260938515176443424241; ecm Dec 06, 2023 n =11158: 109342335162557559820950948449; ecm Dec 06, 2023 n=11180L: 43109862431095754405502938723895830021; ecm: B1 = 1e6; sigma = 5766415734821624
ECM efforts | |
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with Rn: 1 < n < 2000 (Apr 20, 2024) | with Rn: 1999 < n < 3000 (Apr 01, 2024) |
with Rn: 2999 < n < 4000 (Mar 24, 2024) | with Rn: 3999 < n < 5000 (Apr 20, 2024) |
with Rn: 4999 < n < 6000 (Apr 20, 2024) | with Rn: 5999 < n < 7000 (Apr 04, 2024) |
with Rn: 6999 < n < 8000 (Apr 04, 2024) | with Rn: 7999 < n < 9000 (Apr 20, 2024) |
with Rn: 8999 < n <10000 (Apr 15, 2024) | with Rn: 9999 < n <11000 (Apr 20, 2024) |
with Rn: 10999 < n <12000 (Apr 20, 2024) | with Rn: 11999 < n <14980L/M (Apr 20, 2024) |
currently ECM-efforts by yoyo@home: ecm-curves | |||||
---|---|---|---|---|---|
B1 = 11e7/17500 curves/ numbers < 751 digits |
617 in progress |
619 in progress |
629 in progress |
641 in progress |
643 in progress |
B1 = 26e7/45000 curves/ numbers < 450 digits |
527 in progress |
557 in progress |
625 in progress |
1136 in progress |
1160 in progress |
B1 = 85e7/70000 curves/ numbers < 400 digits |
535 in progress |
651 in progress |
1036 in progress |
1386 in progress |
1428 in progress |
B1 = 29e8/nnnn curves/ numbers < 400 digits |
1224 in progress |
1248 in progress |
.... in progress |
.... in progress |
.... in progress |
Factorizations | |
---|---|
Repunits: R1 - R2500 (Apr 15, 2024) | Repunits: R2501 - R5000 (Mar 29, 2024) |
Repunits: R5001 - R7500 (Jan 30, 2024) | Repunits: R7501 - R10000 (Mar 29, 2024) |
Repunits: R10001 - R12500 (Feb 29, 2024) | Repunits: R12501 - R14980L/M (Feb 27, 2024) |
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) |