Factorizations of repunit numbers of the form (10n-1)/9 (111111...)


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News

-  Last update: Aug 26, 2023  

-  Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche, Kurt Beschorner 
   Aug 26, 2023   R942/c209: SNFS-difficulty = 314 
                  1124M unique raw relations of 1375M are collected
                  currently progress 81.7 %;    
                  Based on the msieve test results, the number of necessary unique relations was increased 
                  from 1.250 billion to 1.375 billion
                  msieve excerpts:
                  -  begin with 1123842927 relations and 1119300448 unique ideals
                  -  found 133683333 cycles, need 133268315 (= matrix size)
                  -  weight of 133268315 cycles is about 9328911286 (70.00/cycle)
                  The matrix is still too big
				  
				  
- Found by Alfred Reich
   Aug 19, 2023  n = 5837: 4353843308549595908715554641;                            ecm: B1 = 3e6; sigma = 8758863469303394 
   Aug 19, 2023  n = 6063: 430274832344207496545220961;                             ecm: B1 =25e4; sigma = 8219783245428276 
   Aug 19, 2023  n = 6227: 79329365811507822446359335439;                           ecm: B1 =25e4; sigma = 8850660592913988 
   Aug 19, 2023  n = 6335: 137680332616971581268990156329840111;                    ecm: B1 = 3e6; sigma = 6722473997209790 
   Aug 19, 2023  n = 6373: 2987015025074078176365899849;                            ecm: B1 =25e4; sigma = 5397707835117467 
   Aug 19, 2023  n = 6433: 80641512618487125116307679;                              ecm: B1 = 5e5; sigma = 6012459907997929 
   Aug 19, 2023  n = 6533: 744285757169199924847575368181763;                       ecm: B1 = 3e6; sigma = 2549517497392098 
   Aug 19, 2023  n = 6571: 327888727083917006550074729;                             ecm: B1 =25e4; sigma = 677123249681263 
   Aug 19, 2023  n = 6635: 104157786563405257240288766681;                          ecm: B1 =25e4; sigma = 6143170280832033 
   Aug 19, 2023  n = 6759: 551968902221696851159755919;                             ecm: B1 =25e4; sigma = 6534772702100733 


- Found by Alfred Reich (https://alfredreichlg.de/zehnminus/zehnminus.0.txt)  
   Aug 17, 2023  n = 1609: 3988374591609069058861951683108276907;                   ecm: B1 = 3e6; sigma = 8249802312071881
   Aug 17, 2023  n = 1725: 19853619020021936551970643063517525036801;               ecm: B1 = 3e6; sigma = 3779380196910715
   Aug 17, 2023  n = 2075: 44116135258201262756851010544188401;                     ecm: B1 =11e6; sigma = 4408864212547375 
   Aug 17, 2023  n = 2161: 6221137589716668935375823870769721;                      ecm: B1 = 3e6; sigma = 6094737347714525 
   Aug 17, 2023  n = 2345: 570777583350017110986446490013709793871;                 ecm: B1 = 3e6; sigma = 4758785880834541 
   Aug 17, 2023  n = 3147: 4558159981083740597862506354906893;                      ecm: B1 =11e6; sigma = 3637883746385938
   Aug 17, 2023  n = 3425: 17045545872540887804680148973243601;                     ecm: B1 = 3e6; sigma = 4578322985393950 
   Aug 17, 2023  n = 4391: 5033391329704931814574325407693267;                      ecm: B1 = 3e6; sigma = 7201141721436529 
   Aug 17, 2023  n = 5009: 1045831803040640897850510068638813;                      ecm: B1 =11e6; sigma = 8468291985023645 
   Aug 17, 2023  n = 5039: 37028776999778840804863751286769;                        ecm: B1 =11e6; sigma = 2355029166608306

 

Correction

false: - Found by Anonymous   Jul 27, 2023 n =10565: 2035365601010370050365241;   Jul 27, 2023 n =10615: 337712417377352603550361;   Aug 01, 2023 n =12648: 49374529463081843135977;   Aug 07, 2023 n =12661: 1338451132502419893860849;   Aug 12, 2023 n =12666: 1630868332325116865720121013; correct: Found by Alfred Reich   Jul 27, 2023 n =10565: 2035365601010370050365241;   Jul 27, 2023 n =10615: 337712417377352603550361;   Aug 01, 2023 n =12648: 49374529463081843135977;   Aug 07, 2023 n =12661: 1338451132502419893860849;   Aug 12, 2023 n =12666: 1630868332325116865720121013; - Found by Kurt Beschorner Aug 12, 2023 n = 769: 7315229730563819147169891302520141715784930317; ecm: B1 =43e6; sigma = 0:4866262363522164 Aug 12, 2023 n = 5653: 131429749207554317387747253656773; ecm: B1 = 1e6; sigma = 0:401625285338058 Aug 12, 2023 n = 5827: 1008218509284905931516633156479; ecm: B1 = 1e6; sigma = 5942053452678234 Aug 12, 2023 n =10705: 293392549453748243572610071; P-1: B1 =56e6 Aug 12, 2023 n =10729: 942688392688856144806313827; P-1: B1 =45e6 - Found by Alfred Eichhorn Aug 12, 2023 n =67447: 24502659057526982909109529; ecm: B1 = 5e4; sigma = 5211384666972652 Aug 12, 2023 n =88471: 550391854989650270083757; ecm: B1 = 5e4; sigma = 2523433962642759 - Found by Kurt Beschorner Aug 07, 2023 n = 1437: 6113742087024026109272080792999993294483; ecm: B1 =43e6; sigma = 0:4040555549286134 Aug 07, 2023 n = 5641: 64273018221861944374567184677; ecm: B1 = 1e6; sigma = 0:4590892872674826 Aug 07, 2023 n = 5743: 36035631062116641922315397; ecm: B1 = 1e6; sigma = 2042307130216783 Aug 07, 2023 n =10663: 195767227045687775510379648079; P-1: B1 =46e6 Aug 07, 2023 n =10667: 47419103138539476910320023111; P-1: B1 =46e6 Aug 07, 2023 n =10695: 81664690458826337439403921; P-1: B1 =12e7 Aug 07, 2023 n =11198: 297965317224358829992811936237; ecm: B1 = 1e6; sigma = 0:5194620401845499 - Found by Kurt Beschorner Aug 02, 2023 n = 1435: 300978743058300440004015409566201936016570961; ecm: B1 =43e6; sigma = 0:591520289497255 - Found by John Aug 01, 2023 n =17491: 286540204491090507546774841; ecm: B1 = 1e6; sigma = 0:3531486759 Aug 01, 2023 n =27799: 3277681184332669708154885893; ecm: B1 = 3e5; sigma = 0:4199823354 - Found by Kurt Beschorner Aug 01, 2023 n = 5623: 33894966284770923403532792994108555761; ecm: B1 = 1e6; sigma = 0:2847585960157092 Aug 01, 2023 n =11152: 98634198640248440649183027809; ecm: B1 = 1e6; sigma = 0:1487957157690338 Aug 01, 2023 n =11152: 1089253429152156256471746514241; ecm: B1 = 1e6; sigma = 0:123364306912441 Aug 01, 2023 n =12652: 83290703775651183571067141; P-1: B1 =86e6 - Found by Kurt Beschorner Jul 29, 2023 n = 5617: 1442352342212282064734080319729; ecm: B1 = 1e6; sigma = 0:5924394643376098 Jul 29, 2023 n =10328: 4006493522333901984780000976519275214961; ecm: B1 = 1e6; sigma = 0:6830835193712620 Jul 29, 2023 n =10573: 11356914865736082249559148247057961; P-1: B1 = 48e6 Jul 29, 2023 n=147341: 75597160128710707 * 3325117857......c147317; gr-mfaktc - Found by Alfred Reich Jul 27, 2023 n =18016: 7412449931218783302723329; ecm: B1 = 1e6; sigma = 8471676387782823 Jul 27, 2023 n =18026: 2508377899900949172233454720603333143; ecm: B1 = 1e6; sigma = 5447651977129394 Jul 27, 2023 n =18032: 25234644052897066855537; ecm: B1 = 1e6; sigma = 1940449879482000 Jul 27, 2023 n =18034: 21140627491374819434981635291; ecm: B1 = 1e6; sigma = 5563662563834508 Jul 27, 2023 n =18046: 92187728546692686483722402117; ecm: B1 = 1e6; sigma = 8287380733900789 Jul 27, 2023 n =18046: 207579343030540829724293; ecm: B1 = 1e6; sigma = 1850007519628058 Jul 27, 2023 n =18072: 254801563148492349961316117257; ecm: B1 = 1e6; sigma = 5594550535579751 Jul 27, 2023 n =18091: 10014112485841485606799; ecm: B1 =25e4; sigma = 7101080061804043 Jul 27, 2023 n =18098: 7946775307654415455385185129; ecm: B1 = 1e6; sigma = 4155814183775257 Jul 27, 2023 n =18110: 361352468754805542510417466431091; ecm: B1 = 1e6; sigma = 5165461276779925 Jul 27, 2023 n =18112: 281971979851544679662209; ecm: B1 = 1e6; sigma = 6370290404008509 Jul 27, 2023 n =18116: 1770872694094595036755917689; ecm: B1 = 1e6; sigma = 3159279001401795 Jul 27, 2023 n =18138: 1047944516547484327207; ecm: B1 = 1e6; sigma = 2230787106195763 Jul 27, 2023 n =18148: 128558761065510264563039529409; ecm: B1 = 1e6; sigma = 5919027069979969 Jul 27, 2023 n =18152: 10393938781834956328186049; ecm: B1 = 1e6; sigma = 8378036762417876 Jul 27, 2023 n =18162: 25444604056341710127861978841; ecm: B1 = 1e6; sigma = 1521691221785057 Jul 27, 2023 n =18162: 13921414986637337928367303; ecm: B1 = 1e6; sigma = 446070030487092 Jul 27, 2023 n =18162: 61281540778010918819743; ecm: B1 = 1e6; sigma = 778654903059104 Jul 27, 2023 n =18164: 627999652404802918527361; ecm: B1 = 1e6; sigma = 3416451743525242 Jul 27, 2023 n =18164: 67165305671287908385988349581; ecm: B1 = 1e6; sigma = 2144887355737859 Jul 27, 2023 n =18166: 129755816360511232035383; ecm: B1 = 1e6; sigma = 8268660378821889 Jul 27, 2023 n =18182: 70126096080080007841401603001; ecm: B1 = 1e6; sigma = 3858571212124943 Jul 27, 2023 n =18192: 293041344572790863683518193; ecm: B1 = 1e6; sigma = 1956904232500231 Jul 27, 2023 n =18197: 78252632604140135173187; ecm: B1 = 5e4; sigma = 7047127865718731 Jul 27, 2023 n =18198: 2962107517213815023644693237; ecm: B1 = 1e6; sigma = 3117514438744850 Jul 27, 2023 n =18204: 114276661103432255230261; ecm: B1 = 1e6; sigma = 1387408871341573 Jul 27, 2023 n =18208: 5324069044784843538194561; ecm: B1 = 1e6; sigma = 1067609750907374 Jul 27, 2023 n =18210: 224200363450522205394190453201; ecm: B1 = 1e6; sigma = 8143065655842138 Jul 27, 2023 n =18212: 3174289596355314932118475549; ecm: B1 = 1e6; sigma = 5084267060085267 Jul 27, 2023 n =18243: 4749308774944311169; ecm: B1 = 5e4; sigma = 6952114583174218 Jul 27, 2023 n =18250: 51273194574194338348868136251; ecm: B1 = 1e6; sigma = 7589510662890343 Jul 27, 2023 n =18250: 1040697156023448639985879615001; ecm: B1 = 1e6; sigma = 6002612322362930 Jul 27, 2023 n =18268: 7929490093517918588409629; ecm: B1 = 1e6; sigma = 3912322075316529 Jul 27, 2023 n =18351: 1302477032548081477; ecm: B1 =25e4; sigma = 1201017875625757 Jul 27, 2023 n =18354: 68706037554549651005204491; ecm: B1 = 1e6; sigma = 5512619962167373 Jul 27, 2023 n =18361: 8183150638792894871; ecm: B1 = 5e4; sigma = 5709546796289443 Jul 27, 2023 n =18395: 27780272529467918591; ecm: B1 = 5e4; sigma = 5184859805836035 Jul 27, 2023 n =18409: 29107326393863899207363; ecm: B1 =25e4; sigma = 4011783050291777 Jul 27, 2023 n =18470: 115774500717166822273811; ecm: B1 = 1e6; sigma = 7990544147785702 Jul 27, 2023 n =18486: 32713791772183844401; ecm: B1 = 1e6; sigma = 4823066396987332 Jul 27, 2023 n =18495: 262328779422479335381201; ecm: B1 = 5e4; sigma = 5596554645892977 Jul 27, 2023 n =18516: 13961618722234248308993929; ecm: B1 = 1e6; sigma = 2224182734424486 Jul 27, 2023 n =18536: 12412665770363762923993; ecm: B1 = 1e6; sigma = 6468297675737741 Jul 27, 2023 n =18543: 5131616659093351425054169; ecm: B1 =25e4; sigma = 3261080799550095 Jul 27, 2023 n =18609: 1559728919717370638413; ecm: B1 = 5e4; sigma = 515457719529818 Jul 27, 2023 n =18684: 54765508095401391109; ecm: B1 = 1e6; sigma = 3490781769872449 Jul 27, 2023 n =18685: 9508212518282779801; ecm: B1 =25e4; sigma = 1331690515522991 Jul 27, 2023 n =18717: 48167025934146358470853; ecm: B1 = 5e4; sigma = 8887196587543861 Jul 27, 2023 n =18726: 32575081453625199446779; ecm: B1 = 1e6; sigma = 8208856613011690 Jul 27, 2023 n =18730: 38356644831027034481; ecm: B1 = 1e6; sigma = 3074476060954312 Jul 27, 2023 n =18789: 74722116512336773225477; ecm: B1 =25e4; sigma = 8725196442248221 Jul 27, 2023 n =18899: 257454702564524747724809; ecm: B1 = 5e4; sigma = 1316508110150026 Jul 27, 2023 n =18903: 22519736540491473319; ecm: B1 =25e4; sigma = 4298449833299370 Jul 27, 2023 n =18920: 92284788541237191058721; ecm: B1 = 1e6; sigma = 1227331916318107 Jul 27, 2023 n =18932: 53815729049139871256234621; ecm: B1 = 1e6; sigma = 1852031111436643 Jul 27, 2023 n =18945: 167363665765922734831; ecm: B1 =25e4; sigma = 1414853681442290 Jul 27, 2023 n =18975: 109542025933285128151; ecm: B1 =25e4; sigma = 4976219132650485 Jul 27, 2023 n =19002: 413091458853103867196142889; ecm: B1 = 1e6; sigma = 500967349861990 Jul 27, 2023 n =19008: 6556047672536869022209; ecm: B1 = 1e6; sigma = 5847766857104753 Jul 27, 2023 n =19032: 2686191748026387168508940689; ecm: B1 = 1e6; sigma = 5185884525644342 Jul 27, 2023 n =19052: 2603185741658752423407961; ecm: B1 = 1e6; sigma = 5327957839398926 Jul 27, 2023 n =19072: 21529374303394703980611841; ecm: B1 = 5e4; sigma = 8195321079451422 Jul 27, 2023 n =19072: 16035785254500191230138369; ecm: B1 = 1e6; sigma = 242801435815814 Jul 27, 2023 n =19074: 2680301906345200911049; ecm: B1 = 1e6; sigma = 7566313541377232 Jul 27, 2023 n =19077: 546276468394663217689; ecm: B1 = 5e4; sigma = 3206658979267934 Jul 27, 2023 n =19084: 10856468650554348989410415849; ecm: B1 = 1e6; sigma = 6602634816790582 Jul 27, 2023 n =19090: 23710290626789621352425491; ecm: B1 = 1e6; sigma = 1196352458988238 Jul 27, 2023 n=19100L: 450118169827182277613811301; ecm: B1 = 1e6; sigma = 4486630379854031 Jul 27, 2023 n =19134: 981359056405886097219373; ecm: B1 = 1e6; sigma = 78888093451490 Jul 27, 2023 n =19160: 614977904287597440252241; ecm: B1 = 1e6; sigma = 2175658132667431 Jul 27, 2023 n =19160: 62472842524371825488468085841; ecm: B1 = 1e6; sigma = 2049727642790501 Jul 27, 2023 n =19166: 19871953541058875138246217967; ecm: B1 = 1e6; sigma = 2095680502231266 Jul 27, 2023 n =19186: 293742934511307283750049408081; ecm: B1 = 1e6; sigma = 1476732123577259 Jul 27, 2023 n =19190: 8504170357156122930704641; ecm: B1 = 1e6; sigma = 5001162778742992 Jul 27, 2023 n =19194: 9305864402772823945921; ecm: B1 = 1e6; sigma = 1594284350791035 Jul 27, 2023 n =19212: 12255946855975087235449; ecm: B1 = 1e6; sigma = 8192871474046754 Jul 27, 2023 n =19222: 920076378123454109899447; ecm: B1 = 1e6; sigma = 7071984673911274 Jul 27, 2023 n =19230: 320724668469216315442921; ecm: B1 = 1e6; sigma = 4504913400048484 Jul 27, 2023 n =19242: 775482109667856247552957; ecm: B1 = 1e6; sigma = 6018600656544143 Jul 27, 2023 n =19298: 10586547803857242906072973013; ecm: B1 = 1e6; sigma = 2218353121632410 Jul 27, 2023 n =19507: 6086409664005366371791; ecm: B1 = 5e4; sigma = 4241919192898100 Jul 27, 2023 n =19512: 1689051660878138485193436313; ecm: B1 = 1e6; sigma = 6488986860888057 Jul 27, 2023 n =19515: 1011220177259899231; ecm: B1 = 5e4; sigma = 4821770153175003 Jul 27, 2023 n =19518: 16835016866221869029401; ecm: B1 = 1e6; sigma = 3997210780036951 Jul 27, 2023 n =19558: 508040060379389487475559881; ecm: B1 = 1e6; sigma = 3130323138256020 Jul 27, 2023 n =19584: 44042051785062188768884980481; ecm: B1 = 1e6; sigma = 4127667978041251 Jul 27, 2023 n=19620M: 195574683519227330343721; ecm: B1 = 1e6; sigma = 4807667827384846 Jul 27, 2023 n =19638: 25116300190337295488097529; ecm: B1 = 1e6; sigma = 7177227049317991 Jul 27, 2023 n =19641: 3744255823870203060609667; ecm: B1 = 5e4; sigma = 5068652418669030 Jul 27, 2023 n =19652: 198267234363090570795209; ecm: B1 = 1e6; sigma = 7369863772195378 Jul 27, 2023 n =19668: 2468088060570692255615041; ecm: B1 = 1e6; sigma = 4981670256796887 Jul 27, 2023 n =19698: 509004838362526625727047507312941154089; ecm: B1 = 1e6; sigma = 5535543303355901 Jul 27, 2023 n =19738: 443042679621243639131054299; ecm: B1 = 1e6; sigma = 2322889907188029 Jul 27, 2023 n =19750: 17769582262849196455020251; ecm: B1 = 1e6; sigma = 2329474169221759 Jul 27, 2023 n =19752: 50007138229084179059089; ecm: B1 = 1e6; sigma = 4356051766615793 Jul 27, 2023 n =19760: 2149969406654385888001; ecm: B1 = 1e6; sigma = 1706038676665166 Jul 27, 2023 n =19771: 91067036137233352514239; ecm: B1 = 5e4; sigma = 1363464468111940 Jul 27, 2023 n =19776: 537177016853502364016327809; ecm: B1 = 1e6; sigma = 5344013773051414 Jul 27, 2023 n =19790: 2378729369023297284418891; ecm: B1 = 1e6; sigma = 6811457372367392 Jul 27, 2023 n =19790: 95595866146851354937361; ecm: B1 = 1e6; sigma = 7196115497776035 Jul 27, 2023 n =19824: 921496565360087159136583009; ecm: B1 = 1e6; sigma = 6663875350866785 Jul 27, 2023 n =19828: 13653500689040968460675956441; ecm: B1 = 1e6; sigma = 7272199857487295 Jul 27, 2023 n =19832: 351409415768851718896529281; ecm: B1 = 1e6; sigma = 1694326439510915 Jul 27, 2023 n =19834: 2431653672326999721746981326373329; ecm: B1 = 1e6; sigma = 7587668820277720 Jul 27, 2023 n =19866: 916025771285308057886511847; ecm: B1 = 1e6; sigma = 1840130357649240 Jul 27, 2023 n =19874: 256499227139746235384050567; ecm: B1 = 1e6; sigma = 2536490361447859 Jul 27, 2023 n =19902: 3934112537993779534009063; ecm: B1 = 1e6; sigma = 5275263968378749 Jul 27, 2023 n =19908: 32519097961365394058253841; ecm: B1 = 1e6; sigma = 244684832580119 Jul 27, 2023 n =19924: 162713372573148880863161; ecm: B1 = 1e6; sigma = 3286311126892779 Jul 27, 2023 n =19926: 399519915160756395149569; ecm: B1 = 1e6; sigma = 5404224400006418 Jul 27, 2023 n =19974: 1984059739931021561468587117; ecm: B1 = 1e6; sigma = 6491693486209398 - Found by Alfred Reich Jul 27, 2023 n = 9487: 61183229894541021560985808453; ecm: B1 = 1e6; sigma = 7634275285447370 Jul 27, 2023 n = 9653: 3200038208268763802284576732039; ecm: B1 = 1e6; sigma = 5472057760986274 Jul 27, 2023 n = 9834: 126583733079378785362021468328797; ecm: B1 = 1e6; sigma = 3780061253456632 Jul 27, 2023 n = 9933: 7470644066585671803748439293; ecm: B1 = 1e6; sigma = 2074151642045139 Jul 27, 2023 n = 9971: 142019375285243998924357; ecm: B1 =25e4; sigma = 844769815632454 Jul 27, 2023 n =10566: 1345137533492048852909763163609; ecm: B1 = 1e6; sigma = 8704488892084815 Jul 27, 2023 n =10704: 72841238673283847793996117940609; ecm: B1 = 1e6; sigma = 2040506504840919 Jul 27, 2023 n =10870: 85550856768491103644426046893161; ecm: B1 = 1e6; sigma = 727762954492637 Jul 27, 2023 n =11294: 414369762491182496621082370567; ecm: B1 = 5e4; sigma = 3970022758127121 Jul 27, 2023 n =11612: 129251412527778710102756089; ecm: B1 = 1e6; sigma = 1164465327651493 Jul 27, 2023 n =11708: 1442844122802905471209473569; ecm: B1 = 1e6; sigma = 1689862390890003 - Found by John Jul 27, 2023 n =17137: 123801622343621065831479863929067; ecm: B1 = 1e6; sigma = 0:1896865138 Jul 27, 2023 n =17191: 5747055463752121703767481; ecm: B1 = 1e6; sigma = 3312859642 Jul 27, 2023 n =17203: 19081414547132656686243720649; ecm: B1 = 1e6; sigma = 0:1679835735 - Found by Alfred Reich Jul 26, 2023 n =16387: 444632746836707249577443; ecm: B1 =75e3; sigma = 6178758472047261 Jul 26, 2023 n =16388: 34208242748093017125479095441; ecm: B1 = 1e6; sigma = 4274842413036703 Jul 26, 2023 n =16437: 11518790169842022517123; ecm: B1 =75e3; sigma = 1445928104056008 Jul 26, 2023 n =16461: 25624744126075286351911; ecm: B1 =75e3; sigma = 8327484888676444 Jul 26, 2023 n =16465: 29291000654502486481; ecm: B1 =75e3; sigma = 7153109779297245 Jul 26, 2023 n =16469: 45385530993599008831; ecm: B1 =75e3; sigma = 3762744443136656 Jul 26, 2023 n =16497: 6207750833325827942053; ecm: B1 =75e3; sigma = 1129215292130134 Jul 26, 2023 n =16511: 210779883214785477211279; ecm: B1 =75e3; sigma = 1438023311857960 Jul 26, 2023 n =16527: 229482819082205227267; ecm: B1 = 5e4; sigma = 8392998152764770 Jul 26, 2023 n =16531: 1457824500730771387; ecm: B1 =75e3; sigma = 8178618282176246 Jul 26, 2023 n =16531: 2108101345041127584419027; ecm: B1 =75e3; sigma = 3880639194556510 Jul 26, 2023 n =16539: 582918717569368071033517; ecm: B1 = 5e4; sigma = 5899517116822048 Jul 26, 2023 n =16545: 1099282802798286991; ecm: B1 =75e3; sigma = 8635472632351845 Jul 26, 2023 n =16549: 165495183474530359586761; ecm: B1 =75e3; sigma = 7606670976315151 Jul 26, 2023 n =16555: 27719687270371713955801; ecm: B1 =75e3; sigma = 4667576196902349 Jul 26, 2023 n =16613: 59413152402418734043; ecm: B1 =75e3; sigma = 7573155067028074 Jul 26, 2023 n =16629: 50553225172290858679; ecm: B1 =75e3; sigma = 3573223959438135 Jul 26, 2023 n =16635: 413651508231537192121; ecm: B1 =75e3; sigma = 4220728488665208 Jul 26, 2023 n =16637: 11842780819896023027; ecm: B1 =75e3; sigma = 7522673661528617 Jul 26, 2023 n =16645: 756293015816070430001; ecm: B1 = 5e4; sigma = 7377664554700303 Jul 26, 2023 n =16695: 5808060705985032949438953151; ecm: B1 =75e3; sigma = 1824921301501987 Jul 26, 2023 n =16707: 7763831475690288133; ecm: B1 =75e3; sigma = 8047315095218157 Jul 26, 2023 n =16717: 20957939246539038889; ecm: B1 =75e3; sigma = 4214941005506520 Jul 26, 2023 n =16725: 445302469081752441001; ecm: B1 =75e3; sigma = 3732001075109983 Jul 26, 2023 n =16731: 379517397525802410733; ecm: B1 =75e3; sigma = 1253857020380531 Jul 26, 2023 n =16739: 121933604057370308239; ecm: B1 =75e3; sigma = 7681131192297456 Jul 26, 2023 n =16765: 65789874874500573161; ecm: B1 =75e3; sigma = 4140804333039858 Jul 26, 2023 n =16795: 17655742756797040921; ecm: B1 =75e3; sigma = 101229814774570 Jul 26, 2023 n =16811: 20801833349961562779031171907123; ecm: B1 =75e3; sigma = 8541250071376232 Jul 26, 2023 n =16849: 4329352892625258601321; ecm: B1 =75e3; sigma = 4631291155325571 Jul 26, 2023 n =16855: 98855364742919870517721; ecm: B1 =75e3; sigma = 2414570560940351 Jul 26, 2023 n =16874: 8278020209930799615574717; ecm: B1 = 1e6; sigma = 3883343618846007 Jul 26, 2023 n =16877: 11427856103647537378427; ecm: B1 =75e3; sigma = 5734635145676390 Jul 26, 2023 n =16883: 3845748632024369821039; ecm: B1 =75e3; sigma = 4315490399335271 Jul 26, 2023 n =16903: 9938944639970178699683; ecm: B1 =75e3; sigma = 4616400810916438 Jul 26, 2023 n =16925: 1583949111190748801; ecm: B1 = 5e4; sigma = 4932931550087311 Jul 26, 2023 n =16955: 19810727067995233782224321; ecm: B1 =75e3; sigma = 6742655343268252 Jul 26, 2023 n =16971: 31714686372819323517841; ecm: B1 =75e3; sigma = 7656198649355645 Jul 26, 2023 n =16977: 42259609603197086917; ecm: B1 =75e3; sigma = 7735146726508651 Jul 26, 2023 n =16985: 82118633557686129511; ecm: B1 =75e3; sigma = 2381566870706736 Jul 26, 2023 n =17001: 5472446929255517591380951; ecm: B1 =25e4; sigma = 1547645826563529 Jul 26, 2023 n =17003: 4827562668928878703441; ecm: B1 =25e4; sigma = 7181990877957650 Jul 26, 2023 n =17089: 3722056452688649490973867; ecm: B1 =25e4; sigma = 5928329483807271 Jul 26, 2023 n =17095: 2764307821798290431; ecm: B1 = 5e4; sigma = 4689321009872043 Jul 26, 2023 n =17105: 1862812902210338086361; ecm: B1 =25e4; sigma = 1232182661449527 Jul 26, 2023 n =17127: 4134800696190454048687237; ecm: B1 =25e4; sigma = 6041808485930476 Jul 26, 2023 n =17147: 29526628777501295945848643; ecm: B1 = 5e4; sigma = 4264005752293452 Jul 26, 2023 n =17151: 4849880088112576849; ecm: B1 = 5e4; sigma = 5214220185203441 Jul 26, 2023 n =17161: 10190373182390909831069303827; ecm: B1 =25e4; sigma = 4866100867546997 Jul 26, 2023 n =17163: 20957072303584774711; ecm: B1 =25e4; sigma = 3167730088103783 Jul 26, 2023 n =17195: 2014254232211064220831; ecm: B1 = 5e4; sigma = 3097326488237177 Jul 26, 2023 n =17229: 386418132783634741147; ecm: B1 =25e4; sigma = 4569878362751008 Jul 26, 2023 n =17245: 3784912245851457271; ecm: B1 = 5e4; sigma = 5400251849820712 Jul 26, 2023 n =17261: 22154753938644400522121; ecm: B1 =25e4; sigma = 1543770213193522 Jul 26, 2023 n =17265: 34441852520323430551; ecm: B1 = 5e4; sigma = 6996349374319556 Jul 26, 2023 n =17269: 5662685401306120307; ecm: B1 =25e4; sigma = 4509182595281023 Jul 26, 2023 n =17271: 3352457110743107487613; ecm: B1 = 5e4; sigma = 6531850982417492 Jul 26, 2023 n =17307: 50730052205390707837; ecm: B1 = 5e4; sigma = 4231479336760216 Jul 26, 2023 n =17315: 1437367365991611391; ecm: B1 = 5e4; sigma = 1768548922920302 Jul 26, 2023 n =17355: 2621243055503016361; ecm: B1 = 5e4; sigma = 2542960111650005 Jul 26, 2023 n =17403: 1672467177709775911; ecm: B1 = 5e4; sigma = 7857227657296848 Jul 26, 2023 n =17433: 2221058445534876403; ecm: B1 = 5e4; sigma = 5560713387672636 Jul 26, 2023 n =17457: 108374370377702401729681; ecm: B1 = 5e4; sigma = 6012573865855560 Jul 26, 2023 n =17463: 3985596895961404945759; ecm: B1 = 5e4; sigma = 8773923639479765 Jul 26, 2023 n =17515: 423598715105865988915511; ecm: B1 = 5e4; sigma = 3354921034576709 Jul 26, 2023 n =17526: 109704851018507843934247; ecm: B1 = 1e6; sigma = 8893778573350583 Jul 26, 2023 n =17527: 324145724813688097277; ecm: B1 = 5e4; sigma = 2415351982266877 Jul 26, 2023 n =17575: 1546312366277191786001; ecm: B1 = 5e4; sigma = 485526407086334 Jul 26, 2023 n =17665: 16467028763124664831; ecm: B1 = 5e4; sigma = 8376039208804889 Jul 26, 2023 n =17693: 175676625520378290747947; ecm: B1 = 5e4; sigma = 4428565221934222 Jul 26, 2023 n =17702: 1171849360831477133903; ecm: B1 = 5e4; sigma = 2081171170567297 Jul 26, 2023 n =17708: 25448130418184001529949; ecm: B1 = 1e6; sigma = 1238718422313128 Jul 26, 2023 n =17730: 29756572971243248146949371; ecm: B1 = 1e6; sigma = 4918702373505139 Jul 26, 2023 n =17746: 497302490484021274195531; ecm: B1 = 1e6; sigma = 718280204716276 Jul 26, 2023 n =17796: 1871466426737258910275281; ecm: B1 = 1e6; sigma = 6140134240842226 Jul 26, 2023 n =17804: 14209965575708811845909689; ecm: B1 = 1e6; sigma = 1848035082948952 Jul 26, 2023 n =17810: 2771252744525319762371; ecm: B1 = 1e6; sigma = 1547145418513225 Jul 26, 2023 n=17820L: 4351340512045385646216652182961; ecm: B1 =25e4; sigma = 4225631610388729 Jul 26, 2023 n =17823: 50863855568794293481; ecm: B1 = 5e4; sigma = 4630085389288454 Jul 26, 2023 n =17847: 15109098387367039974253; ecm: B1 = 5e4; sigma = 2125608409903811 Jul 26, 2023 n =17890: 118827404455770533088641; ecm: B1 =25e4; sigma = 4549142144117655 Jul 26, 2023 n =17905: 326773417491089607791; ecm: B1 = 5e4; sigma = 6531710934507288 Jul 26, 2023 n =17916: 84904675134270495232564592689; ecm: B1 = 1e6; sigma = 4954996857320254 Jul 26, 2023 n =17965: 6605163476275040309471; ecm: B1 = 5e4; sigma = 900519292645139 Jul 26, 2023 n =17975: 1190847785924916551; ecm: B1 = 5e4; sigma = 5068952761942348 Jul 26, 2023 n =17983: 3141554003624359471; ecm: B1 = 5e4; sigma = 7950537385288281 - Found by Alfred Reich Jul 25, 2023 n =16005: 20154652704741883681; ecm: B1 =75e3; sigma = 8856720887035761 Jul 25, 2023 n =16017: 70094322529041945787; ecm: B1 =75e3; sigma = 141109847233908 Jul 25, 2023 n =16023: 36990649980484287411283; ecm: B1 =75e3; sigma = 4659999773939198 Jul 25, 2023 n =16027: 313422807397241648987; ecm: B1 = 5e4; sigma = 2019387804745992 Jul 25, 2023 n =16031: 72997671627979044507509653; ecm: B1 = 5e4; sigma = 8258231154230937 Jul 25, 2023 n =16047: 76035334943104569001; ecm: B1 = 5e4; sigma = 2204725944569055 Jul 25, 2023 n =16047: 2573231475662068171843; ecm: B1 =75e3; sigma = 6237432045643806 Jul 25, 2023 n =16047: 6175917086176805036081293; ecm: B1 =75e3; sigma = 7251954986593143 Jul 25, 2023 n =16053: 4299347075516945016307; ecm: B1 = 5e4; sigma = 2905138527116226 Jul 25, 2023 n =16065: 8499701340695323081; ecm: B1 =75e3; sigma = 4996020067945009 Jul 25, 2023 n =16071: 3068441302102926024649111; ecm: B1 =75e3; sigma = 6380698906044571 Jul 25, 2023 n =16079: 9669783718288721453325551; ecm: B1 =75e3; sigma = 214808434829463 Jul 25, 2023 n =16113: 79642819841537244310056700009; ecm: B1 = 5e4; sigma = 732211870780390 Jul 25, 2023 n =16129: 88020346496910733572253; ecm: B1 = 5e4; sigma = 3925910320583828 Jul 25, 2023 n =16145: 20189906610741681271; ecm: B1 =75e3; sigma = 2837539851415324 Jul 25, 2023 n =16157: 189445852360029605803; ecm: B1 =75e3; sigma = 8820718827729161 Jul 25, 2023 n =16159: 213078723307336887001; ecm: B1 =75e3; sigma = 3380031682417233 Jul 25, 2023 n =16191: 89989599847114735648147; ecm: B1 =75e3; sigma = 2455015208405863 Jul 25, 2023 n =16227: 63090121796142210037; ecm: B1 =75e3; sigma = 4304650827920384 Jul 25, 2023 n =16235: 30973523760183037467915281; ecm: B1 =75e3; sigma = 4721704087368704 Jul 25, 2023 n =16268: 375203735417488713709; ecm: B1 =25e4; sigma = 2944513438701888 Jul 25, 2023 n =16279: 135640166547857161159681; ecm: B1 =75e3; sigma = 7089980821004161 Jul 25, 2023 n =16281: 558404633423780193763; ecm: B1 =75e3; sigma = 2159881587821849 Jul 25, 2023 n =16285: 2105350589427154591; ecm: B1 =75e3; sigma = 7453717810178444 Jul 25, 2023 n =16293: 1140108738136248481; ecm: B1 =75e3; sigma = 4341399191764452 Jul 25, 2023 n =16293: 1581093249608659542991; ecm: B1 =75e3; sigma = 714050029406353 Jul 25, 2023 n =16303: 635096265017492056718521; ecm: B1 =75e3; sigma = 8615023901410628 Jul 25, 2023 n =16305: 16883214725687714431; ecm: B1 =75e3; sigma = 7301858993568897 Jul 25, 2023 n =16343: 193905231567153521719; ecm: B1 =75e3; sigma = 7317623783347026 Jul 25, 2023 n =16343: 1454547585209802544625837; ecm: B1 =75e3; sigma = 8764633129725836 Jul 25, 2023 n =16344: 458319145949925131674164294073; ecm: B1 =25e4; sigma = 3117044783023050 Jul 25, 2023 n =16347: 4108364902099380077696773; ecm: B1 =75e3; sigma = 1776156934058899 Jul 25, 2023 n =16355: 147676476067516133351; ecm: B1 =75e3; sigma = 769255222327761 Jul 25, 2023 n =16357: 22025672941920769001; ecm: B1 =75e3; sigma = 1117650285043397 Jul 25, 2023 n =16385: 87255068507647617911041; ecm: B1 =75e3; sigma = 4063298042283207 - Found by Alfred Reich Jul 24, 2023 n = 7752: 42353923360157502447534166996835876881; ecm: B1 = 3e6; sigma = 2285511068875915 Jul 24, 2023 n = 7850: 13747714386463996216800537082801; ecm: B1 = 3e6; sigma = 1105999260461860 Jul 24, 2023 n = 7889: 4277814513314993862986621267; ecm: B1 = 5e4; sigma = 7582201310460296 Jul 24, 2023 n = 8042: 3613740590384116835954173411741899601; ecm: B1 = 3e6; sigma = 4844699859669146 Jul 24, 2023 n =8140L: 80622744652166457696395245164203461; ecm: B1 = 3e6; sigma = 4074574849410810 Jul 24, 2023 n = 8181: 1308422483955383205252193590529; ecm: B1 = 1e6; sigma = 4238026019074197 Jul 24, 2023 n = 8392: 3599156466433812795397984296574698260321; ecm: B1 = 3e6; sigma = 1038259465840955 Jul 24, 2023 n = 8625: 381446118450180784610948538507751; ecm: B1 = 1e6; sigma = 4179695821137327 Jul 24, 2023 n = 8876: 42578121936812302850424703961; ecm: B1 = 3e6; sigma = 1792378130518983 Jul 24, 2023 n = 8936: 140429208050264216888582509081513; ecm: B1 = 3e6; sigma = 377951961168560 Jul 24, 2023 n = 9239: 62669775402678117590827428689; ecm: B1 =25e4; sigma = 4934646406426321 Jul 24, 2023 n = 9479: 41211875020087006634201463431; ecm: B1 = 1e6; sigma = 7861136345159153 - Found by Alfred Eichhorn Jul 23, 2023 n =67369: 186892259095033361668439; ecm: B1 = 5e4; sigma = 6660079597888780 Jul 23, 2023 n =88007: 11789824315950018449719; ecm: B1 = 5e4; sigma = 4732639057627862 Jul 23, 2023 n =88469: 18480808172113119499887708283; ecm: B1 = 5e4; sigma = 728582668942992 - Found by Alfred Reich Jul 23, 2023 n = 2113: 354929074755704271165843846001853; ecm: B1 = 1e6; sigma = 7246696440051791 Jul 23, 2023 n = 6771: 75952212778314289168987; ecm: B1 = 5e4; sigma = 230329139279521 Jul 23, 2023 n = 6836: 20415654231968489599172591591429; ecm: B1 = 3e6; sigma = 2219133135640438 Jul 23, 2023 n = 7204: 1792611605403123098539229078379149; ecm: B1 = 3e6; sigma = 6121230499120445 Jul 23, 2023 n = 7222: 3653775233540851672781627075243270200397; ecm: B1 = 3e6; sigma = 7822026574764889 Jul 23, 2023 n = 7294: 272799241926662791209917505350443321; ecm: B1 = 3e6; sigma = 2947171639234522 Jul 23, 2023 n = 7362: 1889142577340213131496648834727637; ecm: B1 = 3e6; sigma = 3002322087673142 Jul 23, 2023 n = 7369: 20270951656522899758172134963; ecm: B1 = 5e4; sigma = 125603663189372 Jul 23, 2023 n =7420L: 2340937705637882417208224655617801; ecm: B1 = 3e6; sigma = 4814171662249052 Jul 23, 2023 n = 7554: 2389508715065538544734650342449; ecm: B1 = 3e6; sigma = 1618995962471329 Jul 23, 2023 n = 7594: 6831445770573654431691283538611; ecm: B1 = 3e6; sigma = 6025140471483118 Jul 23, 2023 n = 7612: 54681575751290909883901945368061; ecm: B1 = 3e6; sigma = 7933871023863120 Jul 23, 2023 n = 7645: 18898813419143464670208071; ecm: B1 = 7e5; sigma = 352409892073962 Jul 23, 2023 n = 7683: 28725234813559812989329310454871; ecm: B1 = 7e5; sigma = 8241647108127009 Jul 23, 2023 n = 7704: 178041560769736312478867254989953569; ecm: B1 = 1e6; sigma = 2763392246015981 Jul 23, 2023 n = 7710: 8802859463727639797791299361; ecm: B1 = 3e6; sigma = 2197231942016623 Jul 23, 2023 n = 7727: 160313217802190637787806923; ecm: B1 = 5e4; sigma = 890703124145020 - Found by Alfred Reich Jul 22, 2023 n =14413: 166970966971236943369; ecm: B1 = 3e5; sigma = 7279517503046851 Jul 22, 2023 n =14445: 316250758517746765591; ecm: B1 = 5e4; sigma = 5665808219454093 Jul 22, 2023 n =14445: 879066998314826171311; ecm: B1 = 5e4; sigma = 436272714106536 Jul 22, 2023 n =14481: 10917091689686126533; ecm: B1 = 5e4; sigma = 6708022088007193 Jul 22, 2023 n =14517: 9182629340686042345379791; ecm: B1 = 5e4; sigma = 6677299959409244 Jul 22, 2023 n =14569: 22443633425054649446083238609; ecm: B1 = 5e4; sigma = 4830544036316025 Jul 22, 2023 n =14571: 3658076287012737001; ecm: B1 = 5e4; sigma = 4452083562244562 Jul 22, 2023 n =14673: 475483711766804372077; ecm: B1 = 1e6; sigma = 2556421365410584 Jul 22, 2023 n =14708: 2192558026825804565807686978628341; ecm: B1 = 1e6; sigma = 4379445944796092 Jul 22, 2023 n =14952: 2789248315137724131979059409729; ecm: B1 = 1e6; sigma = 5902725414412762 Jul 22, 2023 n =15005: 15983293162325565016361; ecm: B1 =25e4; sigma = 812446952018419 Jul 22, 2023 n =15029: 13622095717362446987; ecm: B1 = 5e4; sigma = 1252605080949340 Jul 22, 2023 n =15033: 238008263495863697743369843; ecm: B1 =25e4; sigma = 2533004088371285 Jul 22, 2023 n =15059: 2361270706474226297477; ecm: B1 =25e4; sigma = 66388653508418 Jul 22, 2023 n =15063: 2224417714292341123; ecm: B1 = 5e4; sigma = 5056444230863479 Jul 22, 2023 n =15065: 325077304852476722551; ecm: B1 = 5e4; sigma = 480685603560171 Jul 22, 2023 n =15066: 1529828168913229051927; ecm: B1 = 1e6; sigma = 725068439812215 Jul 22, 2023 n =15072: 1781588849293327282491649; ecm: B1 = 1e6; sigma = 4062838195044797 Jul 22, 2023 n =15089: 6015399565179816599369; ecm: B1 = 5e4; sigma = 749604510398721 Jul 22, 2023 n =15130: 25795968034561722707971644771190441; ecm: B1 = 1e6; sigma = 5489646355743953 Jul 22, 2023 n =15185: 2651048245090043431; ecm: B1 =25e4; sigma = 5470488380401660 Jul 22, 2023 n =15205: 630043524401854709268041; ecm: B1 =25e4; sigma = 3564885892063813 Jul 22, 2023 n =15239: 2943521601045570917; ecm: B1 =25e4; sigma = 91038777403569 Jul 22, 2023 n =15261: 2739044939247316433787307; ecm: B1 =25e4; sigma = 5156698531090124 Jul 22, 2023 n =15265: 21270400474878965735191; ecm: B1 = 5e4; sigma = 5697949677859261 Jul 22, 2023 n =15282: 10390294669181513520691; ecm: B1 = 1e6; sigma = 5448079721648285 Jul 22, 2023 n =15311: 63490481571677056933; ecm: B1 =25e4; sigma = 621173788537560 Jul 22, 2023 n =15415: 113418428023571510431; ecm: B1 =25e4; sigma = 3753258245232828 Jul 22, 2023 n =15421: 4494340777847147599; ecm: B1 =25e4; sigma = 6122387007589500 Jul 22, 2023 n =15431: 252816462617370489683; ecm: B1 =25e4; sigma = 7921605698540545 Jul 22, 2023 n =15463: 27788181685656629119; ecm: B1 =25e4; sigma = 5840048067165894 Jul 22, 2023 n =15561: 405107217105555321631; ecm: B1 = 5e4; sigma = 6179070226945649 Jul 22, 2023 n=15700L: 4949635952475223234934801; ecm: B1 = 1e6; sigma = 5674263783993647 Jul 22, 2023 n =15744: 3683085861296245547137; ecm: B1 = 1e6; sigma = 962022359680295 Jul 22, 2023 n =15744: 13680107036093792174679994369; ecm: B1 = 1e6; sigma = 498977940448063 Jul 22, 2023 n =15781: 4496325838430068729; ecm: B1 = 5e4; sigma = 5338897428927917 Jul 22, 2023 n =15831: 37816790255067463813; ecm: B1 = 5e4; sigma = 1504737425147011 Jul 22, 2023 n =15876: 8735229018367194426214321; ecm: B1 = 1e6; sigma = 164401962170985 Jul 22, 2023 n =15892: 8842711418956384659004589; ecm: B1 = 1e6; sigma = 6953143943180221 Jul 22, 2023 n =15933: 9139237322515297519; ecm: B1 = 5e4; sigma = 145420388584056 - Found by Alfred Reich Jul 21, 2023 n =12663: 34504836467357239453; ecm: B1 = 5e4; sigma = 161413222477211 Jul 21, 2023 n =12672: 54951214337391728771713; ecm: B1 = 1e6; sigma = 6917630066149202 Jul 21, 2023 n =12775: 38227959924998960551; ecm: B1 = 5e4; sigma = 6875723530772047 Jul 21, 2023 n =12796: 17178436756368127757719861; ecm: B1 = 1e6; sigma = 8621255966812854 Jul 21, 2023 n =12819: 1096566136620207973; ecm: B1 = 5e4; sigma = 5461196199453459 Jul 21, 2023 n =12825: 7223364122267281951; ecm: B1 = 5e4; sigma = 5955703799695974 Jul 21, 2023 n =12835: 51723675244997141349671; ecm: B1 = 5e4; sigma = 5554226281362793 Jul 21, 2023 n =12987: 18953527480527961613917; ecm: B1 = 5e4; sigma = 585973883891887 Jul 21, 2023 n =13001: 1709500391403474292714747; ecm: B1 = 5e4; sigma = 6478810961582135 Jul 21, 2023 n =13023: 54319042196889244533361; ecm: B1 = 5e4; sigma = 931428349887032 Jul 21, 2023 n =13035: 3814273764621319561; ecm: B1 = 5e4; sigma = 1658036610229275 Jul 21, 2023 n =13053: 28542523643940984757; ecm: B1 =35e4; sigma = 6654111345236889 Jul 21, 2023 n =13065: 26512106215359308578711; ecm: B1 = 5e4; sigma = 8476194230827430 Jul 21, 2023 n =13073: 2142560033991766066213001; ecm: B1 = 5e4; sigma = 6687196918666412 Jul 21, 2023 n =13077: 1907666648793667406733225616027; ecm: B1 =35e4; sigma = 604707146548601 Jul 21, 2023 n =13091: 152175029858243546519; ecm: B1 = 5e4; sigma = 5347898949901686 Jul 21, 2023 n =13101: 141032423406169408213; ecm: B1 = 5e4; sigma = 7743988391920867 Jul 21, 2023 n =13105: 61255299046914257971391; ecm: B1 = 5e4; sigma = 1591561571985972 Jul 21, 2023 n =13152: 53985328287900778995452929; ecm: B1 = 1e6; sigma = 7105924543752128 Jul 21, 2023 n =13167: 434056672726940570077; ecm: B1 =35e4; sigma = 7258802464942200 Jul 21, 2023 n =13206: 103695089259407998367731; ecm: B1 = 1e6; sigma = 7382420473326748 Jul 21, 2023 n =13221: 9551504838321850249; ecm: B1 =35e4; sigma = 1787670506839974 Jul 21, 2023 n =13281: 6997240862558616271489; ecm: B1 =35e4; sigma = 1099484654860337 Jul 21, 2023 n =13323: 297455500090709626759; ecm: B1 =35e4; sigma = 2695810402952813 Jul 21, 2023 n =13341: 198417090607837129471; ecm: B1 =35e4; sigma = 2168647370172610 Jul 21, 2023 n =13355: 6397612208824744361; ecm: B1 = 5e4; sigma = 5790338425355709 Jul 21, 2023 n =13363: 75615786034739244163213; ecm: B1 =35e4; sigma = 65307610802837 Jul 21, 2023 n =13365: 2379379157610091449121; ecm: B1 =35e4; sigma = 3306860259257732 Jul 21, 2023 n =13446: 2435848481216268143148727; ecm: B1 = 1e6; sigma = 8325099715098432 Jul 21, 2023 n =13461: 2475016507151963792027809; ecm: B1 = 5e4; sigma = 967751318308558 Jul 21, 2023 n =13497: 1572852250292417993517961; ecm: B1 = 5e4; sigma = 4539039781041915 Jul 21, 2023 n =13546: 5712073589995599555976639806259; ecm: B1 = 1e6; sigma = 7613970391773738 Jul 21, 2023 n =13565: 49308549273770970881; ecm: B1 = 5e4; sigma = 8707264176665232 Jul 21, 2023 n =13584: 56919753481426275422076961; ecm: B1 = 1e6; sigma = 737952805876859 Jul 21, 2023 n =13851: 49317553927744058431; ecm: B1 = 5e4; sigma = 6350562998651370 Jul 21, 2023 n =13922: 4452553526763061449993386983; ecm: B1 = 1e6; sigma = 279184792993842 Jul 21, 2023 n =13935: 3715162151014015951; ecm: B1 = 5e4; sigma = 4279971945026849 Jul 21, 2023 n =13975: 14237128365789433001; ecm: B1 = 5e4; sigma = 2759718042404167 Jul 21, 2023 n =14037: 2457925607471391741121; ecm: B1 = 3e5; sigma = 4468514200765509 Jul 21, 2023 n =14049: 1786416260223231631; ecm: B1 = 5e4; sigma = 2712166336223661 Jul 21, 2023 n =14073: 10419619512713640871; ecm: B1 = 5e4; sigma = 6743398403018248 Jul 21, 2023 n =14105: 13822060372724965892448191; ecm: B1 = 3e5; sigma = 7916890481552942 Jul 21, 2023 n =14139: 2319334623279823777867; ecm: B1 = 5e4; sigma = 5119656356238730 Jul 21, 2023 n =14155: 506655490689825784201; ecm: B1 = 3e5; sigma = 8769803787835243 Jul 21, 2023 n =14187: 264201894861633802147; ecm: B1 = 5e4; sigma = 3262538436144051 Jul 21, 2023 n =14292: 137707349954914464928731109; ecm: B1 = 1e6; sigma = 2916503490794551 Jul 21, 2023 n =14295: 104806199662893600871; ecm: B1 = 3e5; sigma = 8039642350330028 Jul 21, 2023 n =14335: 2444778957014834641; ecm: B1 = 5e4; sigma = 7041566429140705 Jul 21, 2023 n =14351: 13231344149009902617943849; ecm: B1 = 3e5; sigma = 2156084421842029 Jul 21, 2023 n =14354: 1629222825533417460332572685291; ecm: B1 = 1e6; sigma = 4191768970483022 - Found by Kurt Beschorner Jul 20, 2023 n = 6139: 30723810793576247330511378952837; ecm: B1 = 1e6; sigma = 0:3953534446061228 Jul 20, 2023 n = 6445: 38319335216923565902890403001; ecm: B1 = 1e6; sigma = 0:2662215690739678 Jul 20, 2023 n =10493: 81910793997154206182972459293; P-1: B1 =50e6 Jul 20, 2023 n =10517: 107322946041438755758674136341191; P-1: B1 =52e6 Jul 20, 2023 n =10535: 440566231899073590474991; P-1: B1 =75e6 Jul 20, 2023 n =12629: 3356260338673768100663111; P-1: B1 =36e6 Jul 20, 2023 n =12634: 1907581652611973673675667774969; P-1: B1 =84e6 - Found by Alfred Reich Jul 19, 2023 n = 1597: 30817019975627818877405998694224895213; ecm: B1 = 3e6; sigma = 106565654337596 Jul 19, 2023 n = 1678: 713179443752745679211641547767533209753303; ecm: B1 = 3e6; sigma = 8068843919881076 Jul 19, 2023 n = 2680: 27437339325626356979018615179776401; ecm: B1 = 3e6; sigma = 4986104178681973 Jul 19, 2023 n = 3373: 2156831392825245138059658052335418233449; ecm: B1 =11e6; sigma = 276795366632570 Jul 19, 2023 n = 4164: 19781941587245859018154654153249; ecm: B1 = 3e6; sigma = 2124779351106070 Jul 19, 2023 n = 4238: 137469787293516012571904952981451; ecm: B1 = 3e6; sigma = 7743419011244940 Jul 19, 2023 n = 4434: 7354101158829833032701257969559251929; ecm: B1 = 3e6; sigma = 3591585519234730 Jul 19, 2023 n = 4466: 1342582464751020319415597178468299; ecm: B1 = 3e6; sigma = 4366143664541178 Jul 19, 2023 n = 4474: 13102171158192561598650176685059; ecm: B1 = 3e6; sigma = 8127992986069040 Jul 19, 2023 n = 4656: 310710692253369164398904199706369; ecm: B1 = 3e6; sigma = 3423559547220023 Jul 19, 2023 n = 4664: 11591987101883817338084010502411318313; ecm: B1 = 3e6; sigma = 8968354696404988 Jul 19, 2023 n = 4676: 379152420982154635496633151811081; ecm: B1 = 3e6; sigma = 4972095636463563 Jul 19, 2023 n = 4748: 2855101227050927802870374049881; ecm: B1 = 3e6; sigma = 1875766658547253 Jul 19, 2023 n = 4886: 2316964919549130262002685472408059; ecm: B1 = 3e6; sigma = 7303243512333794 Jul 19, 2023 n = 5028: 48399906424442267926223136380644501; ecm: B1 = 3e6; sigma = 3919252877485539 Jul 19, 2023 n = 6109: 1680542658529125771790596000108547403; ecm: B1 = 3e6; sigma = 814030482336372 Jul 19, 2023 n = 6123: 8853757088653221633381426883; ecm: B1 = 3e6; sigma = 6291691991370960 Jul 19, 2023 n = 6151: 23760248854926445958127001987; ecm: B1 = 3e6; sigma = 4403968809834 Jul 19, 2023 n = 6157: 160612345723963225450677483954721; ecm: B1 = 3e6; sigma = 3239353738483582 Jul 19, 2023 n = 6191: 2277367487667725440390409707; ecm: B1 = 3e6; sigma = 3008917397395157 Jul 19, 2023 n = 6209: 15750639561217150275370913724427; ecm: B1 = 3e6; sigma = 1748351989088125 Jul 19, 2023 n = 6227: 10536188173849977095545814987; ecm: B1 = 3e6; sigma = 1665363981327082 Jul 19, 2023 n = 6355: 58078445726476732353863405416951; ecm: B1 = 3e6; sigma = 6588435753033398 Jul 19, 2023 n = 6614: 1223007532020138921296685801200423; ecm: B1 = 3e6; sigma = 7086268964820709 Jul 19, 2023 n = 6730: 206029839554256059093530010488411; ecm: B1 = 3e6; sigma = 6770356518575439 - Found by YOYO@home/Patrick Bailey Jul 18, 2023 n =1086: 25900548863672930451831053961363718303143744545008210388536104834284881 * 6618229806......P197; ecm: B1 = 7.6e9 - Found by Anonymous Jul 18, 2023 n =13025: 14806413507021151 Jul 18, 2023 n =13143: 239711346450044041 Jul 18, 2023 n =13145: 4520538372689791 Jul 18, 2023 n =13263: 137353581121237123 Jul 18, 2023 n =14015: 49107826224044921 Jul 18, 2023 n =14025: 190135939517554801 Jul 18, 2023 n =14061: 512583393531638071 Jul 18, 2023 n =14133: 913337851121318323 Jul 18, 2023 n =14277: 149412605394631 Jul 18, 2023 n =14307: 37698044518078123 Jul 18, 2023 n =14375: 177170117775993751 Jul 18, 2023 n =14413: 130164797493022013 Jul 18, 2023 n =15029: 4351808182735133 Jul 18, 2023 n =15075: 3923122099103551 Jul 18, 2023 n =15257: 73643798824691987 Jul 18, 2023 n =15477: 57342676940538529 Jul 18, 2023 n =17335: 117019571729329351 Jul 18, 2023 n =17862: 7697526337763095695343 Jul 18, 2023 n =17915: 9952196261579471 Jul 18, 2023 n =17961: 4380683201222791 Jul 18, 2023 n =18084: 3924177436389529136269 Jul 18, 2023 n =18104: 1077142400469761985761 Jul 18, 2023 n =18108: 3384696627565321547089081 Jul 18, 2023 n =18118: 7005925746353232609711623 Jul 18, 2023 n=18140L: 2987017618247779426801 - Found by Alfred Reich Jul 17, 2023 n = 2082: 213176320566932405923739316144183121; ecm: B1 = 3e6; sigma = 5695710112208681 Jul 17, 2023 n = 4014: 30342571174416055157303235536809; ecm: B1 = 3e6; sigma = 755026313877746 Jul 17, 2023 n = 4318: 13959935021173769063086932360533; ecm: B1 = 3e6; sigma = 3276054257297596 Jul 17, 2023 n = 4332: 720355304496996023353602286321; ecm: B1 = 3e6; sigma = 6870543786584090 Jul 17, 2023 n = 4406: 76179004467076342877840445457742271571; ecm: B1 = 3e6; sigma = 2677560652825117 Jul 17, 2023 n = 4650: 1354974502640573690042297155943251; ecm: B1 = 3e6; sigma = 3945691783995694 Jul 17, 2023 n = 4774: 939350803688461624834572718367; ecm: B1 = 3e6; sigma = 3421884586449092 Jul 17, 2023 n = 4864: 5066551097314364199107963501050299985409; ecm: B1 = 3e6; sigma = 6848827941466736 Jul 17, 2023 n = 4930: 58155772131245841491220991681; ecm: B1 = 3e6; sigma = 5435909717695542 Jul 17, 2023 n = 4958: 82918361747212785422942914649; ecm: B1 = 3e6; sigma = 7030350164580897 Jul 17, 2023 n = 5004: 112055960419281090008995224529; ecm: B1 = 3e6; sigma = 1342153033446640 Jul 17, 2023 n = 5410: 22350974299077144034230465505681; ecm: B1 = 3e6; sigma = 4521162788968805 Jul 17, 2023 n = 5412: 16759443696240714850396104854453041; ecm: B1 = 3e6; sigma = 8272516377415601 Jul 17, 2023 n = 5484: 15181762479886594968001208675581; ecm: B1 = 3e6; sigma = 8323701288710052 Jul 17, 2023 n = 5387: R5387 is definitely prime; see http://factordb.com/index.php?id=1100000004305702345 Jul 17, 2023 n = 5678: 44499821403524522683537635484635769; ecm: B1 = 3e6; sigma = 4300653116006689 Jul 17, 2023 n = 5962: 286374137647729962372388663992088717; ecm: B1 = 3e6; sigma = 7438210020320803 Jul 17, 2023 n = 6168: 182682275721802091324695982091305017; ecm: B1 = 3e6; sigma = 4681191672930597 Jul 17, 2023 n = 6566: 1416860728957590641118587381186342303; ecm: B1 = 3e6; sigma = 8651886072323632 Jul 17, 2023 n = 6958: 79477820796939573294671427379; ecm: B1 = 3e6; sigma = 1512050914835991 Jul 17, 2023 n = 7156: 22550781594138986116811519523237889; ecm: B1 = 3e6; sigma = 1276578817310111 - Found by YOYO@home/respawner Jul 15, 2023 n=3180L: 937285303675877037813564646699502563443425647141 * 4460429379......P321; ecm: B1 = 850e6; sigma = 0:16442747677842539654 - Found by Anonymous Jul 16, 2023 n =13851: 2321812171103563 Jul 16, 2023 n =13947: 301924291285951 Jul 16, 2023 n =15297: 34599638117793043 Jul 16, 2023 n =15297: 861613207260227479 Jul 16, 2023 n =16005: 6292606064434801 Jul 16, 2023 n =16037: 3148075450221997 Jul 16, 2023 n =16155: 13419200062200511 Jul 16, 2023 n =16191: 107537593654141561 Jul 16, 2023 n =16221: 5525140273069999 Jul 16, 2023 n =16257: 217342610183311 Jul 16, 2023 n =16269: 36110109526309369 Jul 16, 2023 n =16281: 249550495543585387 Jul 16, 2023 n =16303: 370643763269463209 Jul 16, 2023 n =16325: 862139327773775551 Jul 16, 2023 n =16365: 1701708160324201 Jul 16, 2023 n =16405: 7556781154992151 Jul 16, 2023 n =16445: 806092527315103601 Jul 16, 2023 n =16461: 2189725273119529 Jul 16, 2023 n =16491: 34943406961040041 Jul 16, 2023 n =16503: 2195794230401749329799 Jul 16, 2023 n =16623: 652166757550108963 Jul 16, 2023 n =16665: 82752843727349401 Jul 16, 2023 n =16785: 501716014065991 Jul 16, 2023 n =16899: 12858598194503119 Jul 16, 2023 n =16911: 4577342306202199 - Found by Alfred Reich Jul 15, 2023 n = 3976: 1090194247524180260505613303963657; ecm: B1 = 1e6; sigma = 4850672359003993 Jul 15, 2023 n = 5177: 1534414677006692631397469591; ecm: B1 = 5e4; sigma = 3339304031370310 Jul 15, 2023 n = 6481: 49492725503917695856664707; ecm: B1 = 1e6; sigma = 5259870337537476 Jul 15, 2023 n = 6664: 4493504142083404792399353863558449; ecm: B1 = 1e6; sigma = 3849871932388779 Jul 15, 2023 n = 7201: 150481753359426727555305323; ecm: B1 = 1e6; sigma = 5222478301004397 - Found by Anonymous Jul 14, 2023 n =12591: 92497644801482959 Jul 14, 2023 n =13186: 1775474855602191472703647 Jul 14, 2023 n =13563: 1315134206596387 Jul 14, 2023 n =13625: 113024651519823751 Jul 14, 2023 n =13959: 370894267547893 Jul 14, 2023 n =13989: 168198487957124671 Jul 14, 2023 n =14043: 190677236880689563 Jul 14, 2023 n =14079: 134774166463093 Jul 14, 2023 n =14375: 881128613470903751 Jul 14, 2023 n =14673: 19603866276338209 Jul 14, 2023 n =15085: 3936826103593321 Jul 14, 2023 n =15123: 1905440977548907 Jul 14, 2023 n =15145: 81210892871499431 Jul 14, 2023 n =15181: 764361720744719 Jul 14, 2023 n =15257: 311898255655199357 Jul 14, 2023 n =15362: 34082865939675433243130893 Jul 14, 2023 n =15362: 849009497575297461463162579 Jul 14, 2023 n =15455: 15226164899108351 Jul 14, 2023 n =15587: 58665106536033427 Jul 14, 2023 n =15597: 287973217735586893 Jul 14, 2023 n =15933: 12642607190944441 Jul 14, 2023 n =16479: 31517304027766849 Jul 14, 2023 n =16585: 704457169156116841 Jul 14, 2023 n =16595: 82373035498812481 Jul 14, 2023 n =16685: 245371985926781081 Jul 14, 2023 n =16705: 15168447144377671 Jul 14, 2023 n =16917: 3359775672660853 Jul 14, 2023 n =16985: 8722397191025561 Jul 14, 2023 n =16997: 718971928682781523 Jul 14, 2023 n =17037: 6990070649844169 Jul 14, 2023 n =17037: 533608882689138391 Jul 14, 2023 n =17051: 108248275446473957 Jul 14, 2023 n =17079: 48766713295533031 Jul 14, 2023 n =17119: 981134666325645079 Jul 14, 2023 n =17145: 6659303223161431 Jul 14, 2023 n =17165: 61409692365242671 Jul 14, 2023 n =17171: 1620123174337361 Jul 14, 2023 n =17175: 2105873592717151 Jul 14, 2023 n =17367: 1316277408860317 Jul 14, 2023 n =17461: 260351531554065521 Jul 14, 2023 n =17465: 1944264475890031 Jul 14, 2023 n =17517: 15336354239039107 Jul 14, 2023 n =17541: 171798125142388357 Jul 14, 2023 n =17553: 632628694948192843 Jul 14, 2023 n =17557: 863674994480229037 Jul 14, 2023 n =17649: 3900046961768653 Jul 14, 2023 n =17665: 3495392530547881 Jul 14, 2023 n =17695: 4623700243553761 Jul 14, 2023 n =17715: 22214243716759111 Jul 14, 2023 n =17769: 6536710245750481 - Found by Kurt Beschorner Jul 12, 2023 n = 1353: 9972788546844412525261934519206576097569; ecm: B1 =43e6; sigma = 0:7318698532283768 Jul 12, 2023 n =10622: 6220726035905158842806955235801; ecm: B1 = 1e6; sigma = 0:5459112115636149 Jul 12, 2023 n =12626: 2883344365311005978009527; P-1: B1 =90e6 - Found by Kurt Beschorner Jul 11, 2023 n =10379: 5975858448227768969974081990147; P-1: B1 =50e6 Jul 11, 2023 n =10393: 446035875998442363651339058601; P-1: B1 =60e6 Jul 11, 2023 n =12603: 454574367397930652506704498079; P-1: B1 =60e6 Jul 11, 2023 n =12612: 16678705490728737576711541; P-1: B1 =17e7 Jul 11, 2023 n =12615: 43198313196601634065812241; P-1: B1 =80e6 - Alfred Reich Jul 08, 2023 n = 5587: R5587 is definitely prime; see https://factordb.com/cert.php?id=1100000004659579145 - Found by Alfred Reich Jul 06, 2023 n =12113: 4988500967361880744345664999; ecm: B1 =25e4; sigma = 8288982310016670 Jul 06, 2023 n =14639: 191564662356151978656885721; ecm: B1 =25e4; sigma = 8036599937304013 - Found by Kurt Beschorner Jul 06, 2023 n = 5587: 9718704688999287497137081197161 * 4010044018......P5333; ecm: B1 = 1e6; sigma = 0:8018054150929280 Jul 06, 2023 n =10329: 3874406007675800663510599; P-1: B1 =82e6 Jul 06, 2023 n =10341: 605172292509901618238883373; P-1: B1 =76e6 - Found by Alfred Eichhorn Jul 05, 2023 n =70249: 11217074228799052273095643; ecm: B1 = 5e4; sigma = 4833945831133468 Jul 05, 2023 n =70381: 635489704122123401053; ecm: B1 = 5e4; sigma = 8785510268587711 Jul 05, 2023 n =87739: 95087680036489503878483; ecm: B1 = 5e4; sigma = 3945944437581485 Jul 05, 2023 n =87797: 1365677245359103590971373203; ecm: B1 = 5e4; sigma = 8958269920266692 - Found by A. Reich Jul 03, 2023 n =40966: 42506246412137719376197 * 2303713001......P20402 - Found by Yousuke Koide Jun 30, 2023 n = 984: 1523756597661425772732982608015377525913129160101547143097; ecm: B1 = 3e8; sigma = 2:10916314553970469308 - Found by Kurt Beschorner Jul 01, 2023 n = 1497: 145959112670927070432695065574026804399969117; ecm: B1 =43e6; sigma = 6525702983640161 - Found by A. Reich Jun 29, 2023 n =19995: 122112218330145257521; ecm: B1 =11e3; sigma = 2621105183411813602 Jun 29, 2023 n =59985: 164367081293851995391899545041; ecm: B1 = 5e4; sigma = 925905032381107 Jun 29, 2023 n =77447: 40467675788457513203; ecm: B1 = 5e4; sigma = 8520414610939235 Jun 29, 2023 n =77659: 63788181515479304007877; ecm: B1 = 5e4; sigma = 323341850386110 Jun 29, 2023 n=177553: 1814476591438396550513003; ecm: B1 = 5e4; sigma = 2739219733989802 Jun 29, 2023 n=177739: 472321669583088733; ecm: B1 = 5e4; sigma = 2846360700966833 - Found by Alfred Reich Jun 28, 2023 n =17522: 3896994521002921879584299; ecm: B1 = 5e4; sigma = 7902254008589384 Jun 28, 2023 n =18322: 1597426775592369236666424881; ecm: B1 = 5e4; sigma = 5262940469890238 Jun 28, 2023 n =18398: 28964400491231895039103811; ecm: B1 = 5e4; sigma = 7173116179423414 Jun 28, 2023 n =19994: 3710226735093772049244179677; ecm: B1 = 1e6; sigma = 1097058797243930 Jun 28, 2023 n =19994: 1901974340378852742832973057851; ecm: B1 = 1e6; sigma = 6916891097433686 Jun 28, 2023 n =20000: 9853782125992887540586955160001; ecm: B1 = 1e6; sigma = 1388824485123759 - Found by Kurt Beschorner Jun 28, 2023 n = 1487: 4908654090740768986447295954685997262803; ecm: B1 =11e6; sigma = 0:4318336944085155 Jun 28, 2023 n = 1491: 214101907862327114953228337868605022370441; ecm: B1 =43e6; sigma = 0:2309984185641804 Jun 28, 2023 n =10157: 212336922191059943576645921; P-1: B1 =52e6 Jun 28, 2023 n =10306: 457669259359397415301876696767637; ecm: B1 = 1e6; sigma = 0:979514939948641 - Found by Anonymous Jun 28, 2023 n =11566: 1291578491301365747288002169 Jun 28, 2023 n =17638: 714338458908319705727 Jun 28, 2023 n =18682: 18735961029971089767571 Jun 28, 2023 n =18922: 318036510170930367052213 Jun 28, 2023 n =19358: 3804708864999352393546681 - Found by Kurt Beschorner Jun 23, 2023 n = 7668: 969097263812783137216833495330823456969; ecm: B1 = 3e6; sigma = 0:946894979815188 Jun 23, 2023 n = 7668: 1036756316443411214963176965712456280509; ecm: B1 = 3e6; sigma = 0:2036974429029459 Jun 23, 2023 n =10083: 22601839436781922899755157763; P-1: B1 =65e6 Jun 23, 2023 n =10226: 1104898138739365314601435832497630037; ecm: B1 = 1e6; sigma = 0:7981886027556381 Jun 23, 2023 n =10228: 27317419887378555780389500103092181; ecm: B1 = 1e6; sigma = 0:6532763461746839 Jun 23, 2023 n =12570: 87579249101009934566491; P-1: B1 =23e7 - Found by Alfred Reich Jun 22, 2023 n = 8016: 5380921084071102626043163955108593; ecm: B1 = 3e6; sigma = 2087833403062932 Jun 22, 2023 n =10002: 84408902476969038623581315231411; ecm: B1 = 1e6; sigma = 751225251541041 Jun 22, 2023 n =15800: 3692078044379937729120135844801; ecm: B1 = 1e6; sigma = 6889228909896256 Jun 22, 2023 n=251437: 1198356720092044335637; ecm: B1 = 5e4; sigma = 2358148404841789 - Found by Kurt Beschorner Jun 22, 2023 n = 1443: 7533812617313010099208798424128778933289822001 * 1356264185......P797; ecm: B1 =43e6; sigma = 0:6798962802557797 - Found by Kurt Beschorner Jun 14, 2023 n =11939: 128524516252864765146497260459309028980963; P-1: B1 =32e6 Jun 14, 2023 n =12565: 346672192995901400470703456445361; P-1: B1 =52e6 - Found by Shen Isaac Jun 09, 2023 n = 795: 92410669577098151573793519787387105841413085671; ecm: B1 =43e6; sigma = 0:8866379579614158901 - Found by Kurt Beschorner Jun 09, 2023 n = 1923: 113862250265093690519161821760813; ecm: B1 =11e6; sigma = 5681287323064579 Jun 09, 2023 n =11833: 611076528324026019751051991; P-1: B1 =30e6 Jun 09, 2023 n =11833: 1242198381159275659626880853; P-1: B1 =30e6 Jun 09, 2023 n =11849: 18920329092875680233868873039335881; P-1: B1 =36e6 Jun 09, 2023 n =11871: 2122016383855010638163809; P-1: B1 =58e6 Jun 09, 2023 n =11897: 420008175264309498952123; P-1: B1 =32e6 Jun 09, 2023 n =12550: 923510860425457029205801; P-1: B1 =92e6 Jun 09, 2023 n =12551: 246109311646585157; P-1: B1 =43e6 Jun 09, 2023 n =12555: 42903019125976981681; P-1: B1 =70e6 Jun 09, 2023 n =12559: 77761065070526097751; P-1: B1 =32e6 - Found by Alfred Eichhorn Jun 09, 2023 n =70177: 458705361100519708606031; ecm: B1 = 5e4; sigma = 0:6462197110791833 Jun 09, 2023 n =87557: 327273168751779494158067; ecm: B1 = 5e4; sigma = 1844051342044800 - Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche, Kurt Beschorner Jun 09, 2023 R942/c209: SNFS-difficulty = 314 795M unique raw relations of 1250M are collected currently progress 63.6 %; - Found by Kurt Beschorner Jun 03, 2023 n = 2572: 1750440144426714472609223459681889645749; ecm: B1 =11e6; sigma = 0:4549815296930687 Jun 03, 2023 n = 5519: 46065452215902108665365991540159; ecm: B1 = 1e6; sigma = 0:2023853228464960 Jun 03, 2023 n = 6350: 2649986345740176396129549711003058681201; ecm: B1 = 3e6; sigma = 7907305880637785 Jun 03, 2023 n =10162: 501856823055495163449229353041; ecm: B1 = 1e6; sigma = 0:4240492914944899 Jun 03, 2023 n =10162: 14558332240781328815731391829583; ecm: B1 = 1e6; sigma = 0:1828229939913933 Jun 03, 2023 n =10196: 44536837941667091075967439049; ecm: B1 = 1e6; sigma = 0:17218298650752 Jun 03, 2023 n =11767: 254757480928721973981265243; P-1: B1 =42e6 Jun 03, 2023 n =12548: 1619634999140300324368141137542929; P-1: B1 =68e6 - Found by Kurt Beschorner Jun 01, 2023 n = 5925: 624771979297505053233313700289751; ecm: B1 = 3e6; sigma = 0:6042297747174145 Jun 01, 2023 n = 5925: 59894602917430659659099006478907951; ecm: B1 = 3e6; sigma = 0:8220585569924634 Jun 01, 2023 n = 5925: 157152154346322368112028723413869667151; ecm: B1 = 3e6; sigma = 0:7144559007223129 Jun 01, 2023 n = 8481: 901874070359503482480701488093; ecm: B1 = 1e6; sigma = 0:4033998912168224 Jun 01, 2023 n =10156: 3410183669227230957611037962302949; ecm: B1 = 1e6; sigma = 0:2637891659164927 Jun 01, 2023 n =11747: 1865004386160582771119037881; P-1: B1 =35e6 - Found by Kurt Beschorner May 29, 2023 n = 1395: 364702613372162886272425915577640274015934692681 * 4075756350......P647; ecm: B1 =11e7; sigma = 0:903607021974295 May 29, 2023 n = 5254: 139437923042444429039292216424521209211929; ecm: B1 = 3e6; sigma = 0:5947083806060094 May 29, 2023 n = 6045: 24620356061734183080153725617419601; ecm: B1 = 3e6; sigma = 0:5143347040126942 May 29, 2023 n =10059: 149205782455183182197604600358573; ecm: B1 = 1e6; sigma = 0:8243830966200220 - Found by Andreas Enge May 15, 2023 n =86453 is proofen prime ECPP - Found by Kurt Beschorner May 22, 2023 n =11563: 288876102146873945958113077; P-1: B1 = 35e6 May 22, 2023 n =11599: 14933221091440841710872172904603837; P-1: B1 = 42e6 - Found by YOYO@home/ChelseaOilman May 18, 2023 n =1190: 15670675217372765545752167365705617247353811; ecm: B1 = 850e6; sigma = 0:10816724694808590541 - Found by Kurt Beschorner May 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]pututu May 17, 2023 n =1182: 4551047530439682198526844933441545392551140771; ecm: B1 = 850e6; sigma = 0:15946812152344745850 - Found by Alfred Eichhorn May 13, 2023 n =86837: 606921353312041199209590707159; ecm: B1 = 5e4; sigma = 3105880448041814 - Found by Kurt Beschorner May 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 Beschorner May 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 Beschorner May 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 Beschorner Apr 30, 2023 n = 5759: 147876912822130407898624760255369587274609; ecm: B1 = 1e6; sigma = 0:6544452679604896 Apr 30, 2023 n =11295: 604100121206666364956401591238472961; P-1: B1 = 70e6 - Found by Alfred Eichhorn Apr 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 - Found by Kurt Beschorner Apr 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 Beschorner Apr 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 Beschorner Apr 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 Beschorner Apr 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/abc Apr 18, 2023 n = 503: 30837329959354395729863043937455394320617332690757897759 * 6555624229......c269; ecm: B1 = 850e6; sigma = 0:13802949331132258992 - Found by YOYO@home/vanos512 Apr 14, 2023 n = 503: 779021620901226065983070829336777930546503650107187843 * 2021579474......c325; ecm: B1 = 850e6; sigma = 0:977799155199813862 - Found by Kurt Beschorner Apr 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 Beschorner Apr 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 Eichhorn Apr 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


ECM efforts
with Rn:           1 < n < 2000 (Aug 26, 2023) with Rn:     1999 < n < 3000 (Aug 17, 2023)
with Rn:     2999 < n < 4000 (Aug 26, 2023) with Rn:     3999 < n < 5000 (Aug 17, 2023)
with Rn:     4999 < n < 6000 (Aug 26, 2023) with Rn:     5999 < n < 7000 (Aug 19, 2023)
with Rn:     6999 < n < 8000 (Jul 24, 2023) with Rn:     7999 < n < 9000 (Jul 24, 2023)
with Rn:     8999 < n <10000 (Jul 29, 2023) with Rn:     9999 < n <11000 (Aug 26, 2023)
with Rn:   10999 < n <12000 (Aug 26, 2023) with Rn:   11999 < n <14980L/M (Aug 01, 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
487
in progress
557
in progress
1136
in progress
1160
in progress
1216
in progress
B1 = 85e7/70000 curves/
numbers < 400 digits
505
in progress
627
in progress
1036
in progress
1040
in progress
1386
in progress
B1 = 29e8/nnnn curves/
numbers < 400 digits
503
in progress
537
in progress
1182
in progress
1254
in progress
....
in progress



Factorizations
Repunits: R1        - R2500 (Aug 17, 2023) Repunits:  R2501 - R5000 (Aug 17, 2023)
Repunits: R5001   - R7500 (Aug 19, 2023) Repunits: R7501 - R10000 (Aug 01, 2023)
Repunits: R10001 - R12500 (Aug 12, 2023) Repunits: R12501 - R14980L/M (Feb 27, 2023)




Rprime project; base 10

last update: Dec 19, 2022

old project page   -   out of date

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    

active members:
    - Danilo Nitsche, Kurt Beschorner

all contributors:   Danilo Nitsche, Serge Batalov, Paul Bourdelais, Benjamin Chaffin, Charles, Bo Chen, Alfred Eichhorn, FactorDB.com, Giovanni Di Maria,
                              Fan Ming, Phil, Richard Kapek, kkmrkkblmbrbk (aka GP2), Pavlos, Ryan Propper, Edo Rajh, Alfred Reich, Nejc Skoberne, Sebastian,
                              MattStath, Maksym Voznyy, wims, Kurt Beschorner
Overview
 
    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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