- Last update: Nov 07, 2025
- Found by YOYO@home/PDW
Nov 07, 2025 n =2260M: 18052666514161195998906370852089893675820262674770681; ecm: B1 =26e7; sigma: 0:7195572666392681331
- Found by Kurt Beschorner
Nov 06, 2025 n = 3003: 24378016432059173538941112558551217423002758218439; ecm: B1 =30e6; sigma: 6772474587441938
- Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche, Kurt Beschorner
Nov 06, 2025 R477/c252: SNFS-difficulty = 318;
900M unique raw relations and 1425M unique ideals are collected;
target: 2830M unique raw relations;
currently progress 32%;
- Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche, Kurt Beschorner
Nov 06, 2025 R2100L/c215: SNFS-difficulty = 280;
1652M unique raw relations and 1379M unique ideals are collected;
msieve-excerpts: linear algebra, msieve -nc2
- matrix is 79676380 x 79676605 (38945.6 MB) with weight 9932584887 (124.66/col)
- sparse part has weight 9412581624 (118.13/col)
- using block size 8192 and superblock size 2433024 for processor cache size 25344 kB
- commencing Lanczos iteration (18 threads)
- linear algebra completed 14.400M of 79676605 dimensions (24.8%, ETA 1428h)
- Found by John
Oct 29, 2025 n =14423: 58848461806657937705279656579609; ecm: B1 = 3e6; sigma: 8749628913907129
- Found by Kurt Beschorner
Oct 28, 2025 n = 1767: 473173868996738254219823034728848586921173; ecm: B1 =20e6; sigma: 3:3091771627
Oct 28, 2025 n = 1805: 250722594237790504417966333821727933829306951; ecm: B1 =20e6; sigma: 3:1090306176
Oct 28, 2025 n =10029: 1318226832454578142811919289; ecm: B1 = 1e6; sigma: 6555139459415289
Oct 28, 2025 n =10039: 51862704467076299211942531333521; ecm: B1 = 1e6; sigma: 8818260527267191
Oct 28, 2025 n =10039: 419994847161234661215971116174117; ecm: B1 = 1e6; sigma: 4880169735249008
- Found by NFS@Home
Oct 17, 2025 n = 664: 1562991265125451104418437309740711629072891358581803270840637578907766549785968712630129249; SNFS
- Found by Kurt Beschorner
Oct 12, 2025 n = 785: 189851818311923625620843142554739715438256763542951; ecm: B1 =26e7; sigma: 1156993855260035
Oct 12, 2025 n = 1773: 198921028618536231202088585479994892998936557; ecm: B1 =20e6; sigma: 3:1983275677
Oct 12, 2025 n = 1815: 419823029870495755682192171518286548438201; ecm: B1 =30e6; sigma: 3:2227611172
Oct 12, 2025 n = 5608: 1405963188112846152968991141884229858562777; ecm: B1 = 1e6; sigma: 7628637002786974
Oct 12, 2025 n = 7250: 628589002887238236168874184839054919064001; ecm: B1 = 1e6; sigma: 6496284170981008
Oct 12, 2025 n =10766: 17389139753916192903768529053807373; ecm: B1 = 1e6; sigma: 8289677374114743
Oct 12, 2025 n =11648: 77376942309914204739808700943361; ecm: B1 = 1e6; sigma: 3731333862198610
Oct 12, 2025 n=100671: 685038726211152037; P-1: B1 =35e6
Oct 12, 2025 n=100671: 91409754190037219375630209; P-1: B1 =35e6
- Found by Torbjörn Granlund
Oct 04, 2025 n = 1472: 186078920500246031127942289886722997738325697; ecm
- Found by YOYO@home/cenes
Sep 30, 2025 n = 1800: 676486289910305243115743976857467256769005018068801; ecm: B1 =85e7; sigma: 0:10291666828356324878
- Found by Kurt Beschorner
Sep 30, 2025 n = 849: 6665745840890644685531091049825511205035173717; ecm: B1 = 3e6; sigma: 3327356337
Sep 30, 2025 n = 4858: 3880271832350785813127370764867714215517; ecm: B1 = 6e6; sigma: 3:2553502215
Sep 30, 2025 n=10300M: 13189157147838102082482650675858339733901; ecm: B1 = 6e6; sigma: 3:111371351
Sep 30, 2025 n =20024: 82832803766514021925833504161; ecm: B1 = 1e6; sigma: 104852919414352
Sep 30, 2025 n =33555: 2764081801698243073951; P-1: B1 = 300e6
Sep 30, 2025 n=100665: 1592554594537771821133947534057751; P-1: B1 = 300e6
- Found by Kurt Beschorner
Sep 24, 2025 n = 1737: 374643318663224776797087808134396514017991; ecm: B1 =11e6; sigma: 3:3210609035
Sep 24, 2025 n = 2835: 382841290339047580948836872349134978125128631; ecm: B1 =11e6; sigma: 3:1589364952
Sep 24, 2025 n=10580M: 6570298189028049671955767182606612734856972321; ecm: B1 = 6e6; sigma: 3:3054475421
Sep 24, 2025 n =15027: 4182598491090965431194483199; P-1: B1 = 150e6
Sep 24, 2025 n =15027: 25000864524514865340417957841201; P-1: B1 = 150e6
Sep 24, 2025 n =15033: 4748466597487224086119088443; P-1: B1 = 250e6
Sep 24, 2025 n =15037: 42806614765983366751426454005801; P-1: B1 = 250e6
Sep 24, 2025 n =15041: 63512551845982133110919; P-1: B1 = 250e6
- Found by Torbjörn Granlund
Sep 22, 2025 n =2900M: 6033033132690057373999077534888050305482001; ecm
Sep 22, 2025 n =3940M: 51010270021344674871591579498841356967215001; ecm
- Found by Torbjörn Granlund
Sep 16, 2025 n = 1916: 10226546821709282341572622484214465901185349; ecm
- Found by Alfred Reich
Sep 16, 2025 n = 2258: 52874014350801951051108908233818746760979; ecm
Sep 16, 2025 n = 8542: 17931120838017673840027504869107406677; ecm
Sep 16, 2025 n = 9194: 1667300272156337810113084656668394139; ecm
Sep 16, 2025 n =10786: 729914506072054827065390364470411767; ecm
Sep 16, 2025 n =12226: 2580548816983922435815679475699119371; ecm
Sep 16, 2025 n =12434: 10644871877697887832917616752925689; ecm
- Found by Kurt Beschorner
Sep 14, 2025 n = 1398: 97829644721777630795842442531391034522052011; ecm: B1 = 3e6; sigma: 2651071350
Sep 14, 2025 n = 1706: 273616243605203095321334459213437522758336721927; ecm: B1 =20e6; sigma: 3:637627561
Sep 14, 2025 n = 5584: 33032585669354748100507532307619217; ecm: B1 = 1e6; sigma: 0:8727546104645156
Sep 14, 2025 n = 6217: 91732344502157195313784261059592121; ecm: B1 = 1e6; sigma: 5453357092045402
Sep 14, 2025 n =10036: 35412413276700529015461294244357049; ecm: B1 = 1e6; sigma: 8297072652981896
- Found by Anonymous
Sep 06, 2025 n = 3238: 88376853595525515029074288804105939891
Sep 06, 2025 n = 3986: 25555944415936379078066369218667934588173
- Found by Torbjörn Granlund
Sep 02, 2025 n = 1695: 3589492355981051731952052034695940490303247751; ecm: B1/2 = 3e6/1e10; sigma = 1:4277327597
Sep 02, 2025 n = 2222: 2918644992157154213086063524625094205307903; ecm: B1/2 = 3e6/1e10; sigma = 1:2987761698
Sep 02, 2025 n = 2262: 16087663360588803253849167238238929939; ecm: B1/2 = 3e6/1e10; sigma = 1:697874091
Sep 02, 2025 n = 2590: 1587566981848255160768964580712527697515091; ecm: B1/2 = 3e6/1e10; sigma = 1:3594502645
Sep 02, 2025 n = 3015: 145561727061614082264058665770390854831; ecm: B1/2 = 2e6/1e10; sigma = 0:9283897034382382548
Sep 02, 2025 n = 3495: 387453933028530938632676729870153370630391; ecm: B1/2 = 2e6/1e10; sigma = 0:16005981700032064947
Sep 02, 2025 n = 7740: 36821525146880395030522367502885042322081; ecm: B1/2 = 3e6/1e10; sigma = 1:525306835
Sep 02, 2025 n =23220: 1753801360355145706859984612168517841; ecm: B1/2 = 2e6/1e10; sigma = 0:5078811757710992863
- Found by Kurt Beschorner
Sep 01, 2025 n = 1278: 158720442461371770292217981455847347981577942503; ecm: B1 =11e6; sigma: 3746762614
Sep 01, 2025 n = 1554: 116462699941346570110788260883522270500646769; ecm: B1 =11e6; sigma: 1916824559
Sep 01, 2025 n = 1734: 81377921661876815257762625738857311135506265389843731; ecm: B1 =11e6; sigma: 1492419122
Sep 01, 2025 n = 1784: 1506299242872513223456886300848222812688553; ecm: B1 = 3e6; sigma: 3:1325250992
Sep 01, 2025 n = 8262: 47834304614166196220391418206434330161; ecm: B1 = 1e6; sigma: 0:582667912455680
Sep 01, 2025 n = 9945: 3771493051636833160947409738692384129946962271; ecm: B1 = 1e6; sigma: 8483609740963473
- Found by Torbjörn Granlund
Aug 22, 2025 n = 1941: 18324102196986246938793220693979072780479; ecm: B1/2 = 2e6/1e10; sigma = 0:7468102543256745624
Aug 22, 2025 n = 2299: 19105127944897718190086548183045306170227; ecm: B1/2 = 2e6/1e10; sigma = 0:3279931155824969364
Aug 22, 2025 n = 2501: 532671658113886260212473422727898747; ecm: B1/2 = 2e6/1e10; sigma = 0:147276043833136226
Aug 22, 2025 n = 2515: 263595080192736026475317249565311401; ecm: B1/2 = 2e6/1e10; sigma = 0:6883472396746942790
Aug 22, 2025 n = 2529: 127219007062638077428906168365635325319; ecm: B1/2 = 2e6/1e10; sigma = 0:11412115806074526478
Aug 22, 2025 n = 2609: 277754527334147030597898460232281117; ecm: B1/2 = 2e6/1e10; sigma = 0:13117153927448746996
Aug 22, 2025 n = 2634: 64120497550578280872882092218394447992627303; ecm: B1/2 = 2e6/1e10; sigma = 1:3414020500
Aug 22, 2025 n = 2754: 1070573021045188175955629702678917835979037; ecm: B1/2 = 2e6/1e10; sigma = 1:3789776932
Aug 22, 2025 n = 2905: 77232347813946503213768066560793045431; ecm: B1/2 = 2e6/1e10; sigma = 0:1144948186446810884
Aug 22, 2025 n = 2906: 1282595439643508256615285638105070370531; ecm: B1/2 = 2e6/1e10; sigma = 0:15512752377311098215
Aug 22, 2025 n = 2941: 4730412442713592348500757280176674959; ecm: B1/2 = 2e6/1e10; sigma = 0:13714635867003721288
Aug 22, 2025 n = 3038: 13738284126212945085230983501010742373; ecm: B1/2 = 2e6/1e10; sigma = 0:544105926907405447
Aug 22, 2025 n = 3106: 27153601113610968310227740816836137241; ecm: B1/2 = 2e6/1e10; sigma = 0:7205582932242741153
Aug 22, 2025 n = 3134: 220904983261414113425123770729713126253; ecm: B1/2 = 2e6/1e10; sigma = 0:5254817483696869123
Aug 22, 2025 n = 3143: 6363169036007123426660812216597533517; ecm: B1/2 = 2e6/1e10; sigma = 0:11924672347211046095
Aug 22, 2025 n = 3240: 51568786797481312749777492089812443769921; ecm: B1/2 = 2e6/1e10; sigma = 1:2331525317
Aug 22, 2025 n = 3278: 17755640483959884120539570514840731; ecm: B1/2 = 2e6/1e10; sigma = 0:5357041020037774198
Aug 22, 2025 n = 3288: 777058547419946709306622094508543214393; ecm: B1/2 = 2e6/1e10; sigma = 0:6285167283484008294
Aug 22, 2025 n = 3423: 1144226731506033672190976008207066090933; ecm: B1/2 = 2e6/1e10; sigma = 0:12532628322984785219
Aug 22, 2025 n = 3475: 62748931924597058869804224298540379782751; ecm: B1/2 = 2e6/1e10; sigma = 0:7049605378945519835
Aug 22, 2025 n = 3550: 70419611464033010410132410420235801; ecm: B1/2 = 2e6/1e10; sigma = 0:10970266613014061893
Aug 22, 2025 n = 3656: 105014349820837827448113787173636073; ecm: B1/2 = 2e6/1e10; sigma = 0:17887679712477353355
Aug 22, 2025 n = 3759: 10327348071198268614035070731437877311; ecm: B1/2 = 2e6/1e10; sigma = 0:3539741285481088433
Aug 22, 2025 n = 3894: 13260827060071926678250146533712008317; ecm: B1/2 = 2e6/1e10; sigma = 0:3965792511863434232
Aug 22, 2025 n = 4000: 431208300727476872730730418825856001; ecm: B1/2 = 2e6/1e10; sigma = 0:16591244462271258547
Aug 22, 2025 n = 4146: 106849963662552664223405606288976466477; ecm: B1/2 = 2e6/1e10; sigma = 0:9396526448657271941
Aug 22, 2025 n = 4406: 1071324633510414739083765749592126851; ecm: B1/2 = 2e6/1e10; sigma = 0:2816116091175757641
Aug 22, 2025 n = 4436: 1261089691387822202605227321473564089; ecm: B1/2 = 2e6/1e10; sigma = 0:11754549913371875997
Aug 22, 2025 n = 4509: 1184214232188511528770779091912013627; ecm: B1/2 = 2e6/1e10; sigma = 0:9855240741001512686
Aug 22, 2025 n = 4530: 4833105202991763724410365536299494658103651; ecm: B1/2 = 2e6/1e10; sigma = 0:8805604252382697202
Aug 22, 2025 n = 4786: 73826850772785509838139153011838927; ecm: B1/2 = 2e6/1e10; sigma = 0:13633838615548872606
Aug 22, 2025 n = 4872: 27318745527311727819945109054958161; ecm: B1/2 = 2e6/1e10; sigma = 0:5506612397258730679
Aug 22, 2025 n = 4890: 61520492294787443392030024940131; ecm: B1/2 = 2e6/1e10; sigma = 0:15911322850500161954
Aug 22, 2025 n = 4964: 20923796916369387192791205169351481; ecm: B1/2 = 2e6/1e10; sigma = 0:2803036211503127557
Aug 22, 2025 n = 5178: 35537869080356130336157108560442539373; ecm: B1/2 = 2e6/1e10; sigma = 0:9580092485660964118
Aug 22, 2025 n = 5230: 913715366384021444166496647038109361; ecm: B1/2 = 2e6/1e10; sigma = 0:771331845369412953
Aug 22, 2025 n = 5235: 10028232741957259837543150522085514121; ecm: B1/2 = 2e6/1e10; sigma = 0:16463553687904428697
Aug 22, 2025 n = 5308: 405422528576191204049464657373849; ecm: B1/2 = 2e6/1e10; sigma = 0:4154012416662622810
Aug 22, 2025 n = 5316: 560423341854478230067939871606964709; ecm: B1/2 = 2e6/1e10; sigma = 0:16478966460039119882
Aug 22, 2025 n = 5330: 14560622194640776900404672373438993691; ecm: B1/2 = 2e6/1e10; sigma = 0:16916451267224957947
Aug 22, 2025 n = 5388: 21656572209677916741002017772043949; ecm: B1/2 = 2e6/1e10; sigma = 0:5719176353965550791
Aug 22, 2025 n = 5622: 341081075879744338226461559626068859; ecm: B1/2 = 2e6/1e10; sigma = 0:15687442952726193675
Aug 22, 2025 n = 5868: 249411959185579871748145934199205969; ecm: B1/2 = 2e6/1e10; sigma = 0:2459702306581111855
Aug 22, 2025 n = 5890: 16935951972289968452376690210403796291; ecm: B1/2 = 2e6/1e10; sigma = 0:390719063034802979
Aug 22, 2025 n = 6170: 2853558046418662190707429941067051691; ecm: B1/2 = 2e6/1e10; sigma = 0:3703652619764946765
Aug 22, 2025 n = 6182: 861496550506872179749984508575822237; ecm: B1/2 = 2e6/1e10; sigma = 0:717745911794574277
Aug 22, 2025 n = 6405: 559442291539908392262507732453840724831; ecm: B1/2 = 2e6/1e10; sigma = 0:7284976652874111983
Aug 22, 2025 n = 6530: 2926107539440275683794349973830631007081; ecm: B1/2 = 2e6/1e10; sigma = 0:4708019548394877062
Aug 22, 2025 n = 6546: 50307524775512934941398395832874762172859; ecm: B1/2 = 2e6/1e10; sigma = 0:10141722170644269264
Aug 22, 2025 n = 6692: 208071485014255604030387220484316221; ecm: B1/2 = 2e6/1e10; sigma = 0:16465480567995558808
Aug 22, 2025 n = 6770: 1040714678805099503565514029401569361; ecm: B1/2 = 2e6/1e10; sigma = 0:17573951911627414303
Aug 22, 2025 n = 6864: 346106500337352643358162709980222689; ecm: B1/2 = 2e6/1e10; sigma = 0:2249601743126028204
Aug 22, 2025 n = 7030: 171960618591011490717176252193335075737891; ecm: B1/2 = 2e6/1e10; sigma = 0:18392358690554521141
Aug 22, 2025 n = 7236: 400288859420739294212152112413380781; ecm: B1/2 = 2e6/1e10; sigma = 0:12356903377649969917
Aug 22, 2025 n = 7410: 1633286398863103905950712556611395383441; ecm: B1/2 = 2e6/1e10; sigma = 0:17670493216894934013
Aug 22, 2025 n = 8060: 386338641439776181619664471909647893561; ecm: B1/2 = 2e6/1e10; sigma = 0:6311439625869618970
Aug 22, 2025 n = 8082: 20194304465331386932841152087225309921; ecm: B1/2 = 2e6/1e10; sigma = 0:3102672091120149002
Aug 22, 2025 n = 8380: 792156824106885237618863734084839941; ecm: B1/2 = 2e6/1e10; sigma = 0:10820090694979692954
Aug 22, 2025 n = 8586: 8537084702259015572963832941561033893; ecm: B1/2 = 2e6/1e10; sigma = 0:10901450953734906347
Aug 22, 2025 n = 9870: 86826123740937613587552553154967653881; ecm: B1/2 = 2e6/1e10; sigma = 0:6548336698675500456
Aug 22, 2025 n = 9996: 111483444357097578875486923992489149401; ecm: B1/2 = 2e6/1e10; sigma = 0:12921914954328391707
Aug 22, 2025 n =10060: 14246454484575018741314919379810621; ecm: B1/2 = 2e6/1e10; sigma = 0:12480918535794735290
Aug 22, 2025 n =10122: 106202679188864885351768778431861641; ecm: B1/2 = 2e6/1e10; sigma = 0:16301053652210695925
Aug 22, 2025 n =10542: 15926368861211790854013583970087766571; ecm: B1/2 = 2e6/1e10; sigma = 0:1984221174329883152
Aug 22, 2025 n =11060: 1306386752415034616582029039902606041; ecm: B1/2 = 2e6/1e10; sigma = 0:13740617811951633182
Aug 22, 2025 n =13060: 3435607759751666834283061237370911741; ecm: B1/2 = 2e6/1e10; sigma = 0:9804163578888007668
Aug 22, 2025 n =15060: 531926477151291349837112885170943687795161; ecm: B1/2 = 2e6/1e10; sigma = 0:10210524568510546119
Aug 22, 2025 n =15300: 999786224815367576155466884562939401; ecm: B1/2 = 2e6/1e10; sigma = 0:13242376715890128600
Aug 22, 2025 n =16260: 390303076274243657098402096393505345281; ecm: B1/2 = 2e6/1e10; sigma = 0:602491869415975576
Aug 22, 2025 n =19500: 4308766264946517744668657682808098880501; ecm: B1/2 = 2e6/1e10; sigma = 0:10835374908913931446
Aug 22, 2025 n =20580: 31457113222307445802735328546790121; ecm: B1/2 = 2e6/1e10; sigma = 0:3552031685095845501
Aug 22, 2025 n =22620: 8988880162931117783301843876885301; ecm: B1/2 = 2e6/1e10; sigma = 0:874322887550625721
Aug 22, 2025 n =24780: 1170087313865534265656105558330641; ecm: B1/2 = 2e6/1e10; sigma = 0:10507601487646200759
Aug 22, 2025 n =24780: 137626664115004896703002373026744466081; ecm: B1/2 = 2e6/1e10; sigma = 0:14262530245873970156
- Found by Alfred Eichhorn
Aug 18, 2025 n =30161: 393873747961389636907917681425843; ecm: B1 = 1e6; sigma: 2891847040901991
Aug 18, 2025 n =51563: 475153622502302533783645711; ecm: B1 = 1e6; sigma: 3844687670739452
- Found by Kurt Beschorner
Aug 18, 2025 n =7140L: 850887009985028048281840574127405664310675881; ecm: B1 =20e6; sigma: 3:840203700
Aug 18, 2025 n = 9720: 69298762819407285039147739725468732721; ecm: B1 = 1e6; sigma: 0:8168440396961977
Aug 18, 2025 n =33551: 1344801398186149725603816707; P-1: B1 =26e6
Aug 18, 2025 n=101477: 6911312173017829164982119329; P-1: B1 =100e6
- Found by Kurt Beschorner
Aug 13, 2025 n= 7900M: 443894486799777487553775219229203320362922801; ecm: B1 =20e6; sigma: 3:585496174
Aug 13, 2025 n=100641: 344310884200390602485096959; P-1: B1 =26e6
Aug 13, 2025 n=100651: 2441607821735348637599; P-1: B1 =26e6
Aug 13, 2025 n=101149: 11060991279808644728626939351; P-1: B1 =100e6
- Found by Kurt Beschorner
Aug 05, 2025 n= 6500M: 838674682608274595889194955806891326867784389251001; ecm: B1 =11e6; sigma: 3:1994876158
Aug 05, 2025 n= 9072: 124893274758049405740610511471437777; ecm: B1 = 1e6; sigma: 0:5699101051595961
Aug 05, 2025 n= 9072: 4340113378518966373738115853410057617; ecm: B1 = 1e6; sigma: 0:609978096661099
Aug 05, 2025 n= 11059: 8636185481179887061120541344841; ecm: B1 = 1e6; sigma: 0:7901739579139261
Aug 05, 2025 n= 14981: 114549212802282586042307; P-1: B1 =140e6
- Found by Kurt Beschorner
Jul 27, 2025 n= 6980L: 2554469496875403977261734720035713920650041989661; ecm: B1 =11e6; sigma: 3:61179294
Jul 27, 2025 n= 7944: 804621609767156768529334184781051361; ecm: B1 = 1e6; sigma: 0:5768021150999021
Jul 27, 2025 n= 8418: 11145057994555761495343374996479999813047; ecm: B1 = 1e6; sigma: 0:1423211355015175
- Found by Kurt Beschorner
Jul 19, 2025 n=193993: 15776979793478000723; gr-mfaktc
Jul 19, 2025 n=194309: 11229209316566658133; gr-mfaktc
Jul 19, 2025 n=194431: 110403898185469283; gr-mfaktc
Jul 19, 2025 n=194527: 2181774393290721413; gr-mfaktc
Jul 19, 2025 n=194713: 2169943501984982879; gr-mfaktc
Jul 19, 2025 n=194713: 8156017860799736441; gr-mfaktc
Jul 19, 2025 n=194861: 186365803380830237; gr-mfaktc
Jul 19, 2025 n=194911: 7074899211703772591; gr-mfaktc
Jul 19, 2025 n=195413: 131017610357835763; gr-mfaktc
Jul 19, 2025 n=195479: 1035146756739711667; gr-mfaktc
Jul 19, 2025 n=195541: 137074135549040603; gr-mfaktc
Jul 19, 2025 n=195977: 4192590236606344267; gr-mfaktc
Jul 19, 2025 n=196039: 415009467862093231; gr-mfaktc
Jul 19, 2025 n=196561: 10906193652314902759; gr-mfaktc
Jul 19, 2025 n=196699: 10685734535507578507; gr-mfaktc
Jul 19, 2025 n=197147: 1788291879228731249; gr-mfaktc
Jul 19, 2025 n=197243: 292118887833080041; gr-mfaktc
Jul 19, 2025 n=197273: 1215495240824082079; gr-mfaktc
Jul 19, 2025 n=197887: 16876268255138739323; gr-mfaktc
Jul 19, 2025 n=197969: 1390694243253648241; gr-mfaktc
Jul 19, 2025 n=198427: 167502194203038173; gr-mfaktc
Jul 19, 2025 n=198427: 715349274486737791; gr-mfaktc
Jul 19, 2025 n=199337: 179549734286588399; gr-mfaktc
Jul 19, 2025 n=199501: 344488191476881631; gr-mfaktc
Jul 19, 2025 n=199673: 158749973905277431; gr-mfaktc
Jul 19, 2025 n=199721: 72099471580968157; gr-mfaktc
Jul 19, 2025 n=199921: 1444158130549022363; gr-mfaktc
- Found by Kurt Beschorner
Jul 11, 2025 n = 5096: 2149943985073765913184689961767955977; ecm: B1 = 6e6; sigma: 3:2701705479
Jul 11, 2025 n = 9221: 11538873919587620194453969318532431; ecm: B1 = 1e6; sigma: 0:1526250657101822
Jul 11, 2025 n =14949: 56868802440128909237781999970471; P-1: B1 = 200e6
Jul 11, 2025 n=188933: 14270959890742574119; gr-mfaktc
Jul 11, 2025 n=189851: 2615180256202780963; gr-mfaktc
Jul 11, 2025 n=190313: 195533146873518683; gr-mfaktc
Jul 11, 2025 n=190543: 1351263587222877077; gr-mfaktc
Jul 11, 2025 n=190711: 8837094962814912877; gr-mfaktc
Jul 11, 2025 n=191453: 17800093404374499199; gr-mfaktc
Jul 11, 2025 n=191473: 17705114164429065443; gr-mfaktc
Jul 11, 2025 n=191509: 156043419171822587; gr-mfaktc
Jul 11, 2025 n=191749: 168328791028380071; gr-mfaktc
Jul 11, 2025 n=191899: 318723228039513883; gr-mfaktc
Jul 11, 2025 n=192053: 7381070964302271053; gr-mfaktc
Jul 11, 2025 n=192383: 1971614633386348403; gr-mfaktc
Jul 11, 2025 n=192407: 1134342795540192209; gr-mfaktc
Jul 11, 2025 n=192781: 2695974113389892323; gr-mfaktc
Jul 11, 2025 n=193009: 8955737173343315009; gr-mfaktc
Jul 11, 2025 n=193043: 303876578832149627; gr-mfaktc
Jul 11, 2025 n=193163: 105855551068945241; gr-mfaktc
Jul 11, 2025 n=193447: 1468251349481264693; gr-mfaktc
Jul 11, 2025 n=193493: 6321760417033269209; gr-mfaktc
Jul 11, 2025 n=193573: 83420359449355373; gr-mfaktc
Jul 11, 2025 n=193619: 235567334556650893; gr-mfaktc
Jul 11, 2025 n=193789: 489130808838544879; gr-mfaktc
Jul 11, 2025 n=193841: 127098877548469199; gr-mfaktc
Jul 11, 2025 n=193861: 2570782167961629883; gr-mfaktc
Jul 11, 2025 n=193871: 7939236996680056031; gr-mfaktc
Jul 11, 2025 n=193877: 376937178096246083; gr-mfaktc
- Found by Torbjörn Granlund
Jul 03, 2025 n = 2193: 154078457015387145467123166402800821711; ecm: B1/2 = 1e6/1e10; sigma = 0:2291369907686196635
Jul 03, 2025 n = 2635: 2194788760902031593636501101503481431; ecm: B1/2 = 1e6/1e10; sigma = 0:9827259710631040773
Jul 03, 2025 n = 2661: 155407948222619842897805880538550021929; ecm: B1/2 = 1e6/1e10; sigma = 0:5749368582609494642
Jul 03, 2025 n = 3236: 816165129661426195891963291714151429; ecm: B1/2 = 1e6/1e10; sigma = 0:7619885555269722614
Jul 03, 2025 n = 3613: 2448448086802393796327723466130555538557; ecm: B1/2 = 5e5/5e9; sigma = 0:15882340543996275734
Jul 03, 2025 n = 3676: 8041430043439897434833884958187712601; ecm: B1/2 = 5e5/5e9; sigma = 0:8806488127749424302
Jul 03, 2025 n = 3798: 29760511623542740588982669298871555249; ecm: B1/2 = 1e6/1e10; sigma = 0:1877167363091971729
Jul 03, 2025 n = 4088: 646442323637092929420734282353615549195673; ecm: B1/2 = 1e6/1e10; sigma = 0:5184148238263765051
Jul 03, 2025 n = 4118: 330394369900021086020072907060618241; ecm: B1/2 = 1e6/1e10; sigma = 0:13623511393759459637
Jul 03, 2025 n = 4370: 14128748028322186653565715199847691; ecm: B1/2 = 1e6/1e10; sigma = 0:1698594672608226150
Jul 03, 2025 n = 5416: 90858490154284198472987468619281; ecm: B1/2 = 1e6/1e10; sigma = 0:809942175680112009
Jul 03, 2025 n = 5870: 137860731050755795579002257538812321; ecm: B1/2 = 1e6/1e10; sigma = 0:17413567260527118477
Jul 03, 2025 n = 5936: 562510456057155286756880722859963057; ecm: B1/2 = 1e6/1e10; sigma = 0:11300411264084552732
Jul 03, 2025 n = 6627: 124693842464559402922136303615004643; ecm: B1/2 = 5e5/5e9; sigma = 0:17742194411364281925
Jul 03, 2025 n = 7320: 55599085407982391342565313055075761; ecm: B1/2 = 1e6/1e10; sigma = 0:488775186943926820
Jul 03, 2025 n = 7374: 893982112453372849212793097644093; ecm: B1/2 = 1e6/1e10; sigma = 0:4373036703655549258
Jul 03, 2025 n = 7407: 222160363968260560405364510781403; ecm: B1/2 = 5e5/5e9; sigma = 0:6107567390824183359
Jul 03, 2025 n = 8304: 3262550679706921805274172270813852302241; ecm: B1/2 = 1e6/1e10; sigma = 0:16296595014505245593
Jul 03, 2025 n = 8574: 732296358846695125407377753436151333; ecm: B1/2 = 1e6/1e10; sigma = 0:17725621978331375198
Jul 03, 2025 n = 8990: 71179570046057785744167313690961; ecm: B1/2 = 5e5/5e9; sigma = 0:8802939404146823522
Jul 03, 2025 n = 8992: 3800583996489454269166097897509749889; ecm: B1/2 = 5e5/5e9; sigma = 0:8322436153843765185
Jul 03, 2025 n = 9540: 104159682585751901368359362059981; ecm: B1/2 = 5e5/5e9; sigma = 0:10492435845804570231
Jul 03, 2025 n = 9776: 460235728957104179952284498967070790081; ecm: B1/2 = 5e5/5e9; sigma = 0:15681770269457649480
Jul 03, 2025 n =10656: 26813643533113779689384799906508801; ecm: B1/2 = 5e5/5e9; sigma = 0:6584906758297095996
Jul 03, 2025 n =10790: 287825094852409579527218700403418651; ecm: B1/2 = 5e5/5e9; sigma = 0:6732535914612643255
Jul 03, 2025 n =10920: 27312924905262382258274094015938596801; ecm: B1/2 = 1e6/1e10; sigma = 0:7456626504657011078
Jul 03, 2025 n =11508: 196614910943218702374630238067762681149; ecm: B1/2 = 5e5/5e9; sigma = 0:1348040394286344091
Jul 03, 2025 n =11880: 52215022835803774625225264708602194001; ecm: B1/2 = 1e6/1e10; sigma = 0:14733830863355859003
Jul 03, 2025 n =15120: 2643427694237402467084085988481; ecm: B1/2 = 5e5/5e9; sigma = 0:2914121863087225523
Jul 03, 2025 n =15960: 50491809551731953109298802530426161; ecm: B1/2 = 5e5/5e9; sigma = 0:12954335696874099557
Jul 03, 2025 n =17598: 24309903018142970045832361572651569557; ecm: B1/2 = 5e5/5e9; sigma = 0:13189339513756829197
Jul 03, 2025 n =21450: 1633001438766457575700344002401; ecm: B1/2 = 5e5/5e9; sigma = 0:13091288480389684004
Jul 03, 2025 n =22140: 16607308187625101888303737299061; ecm: B1/2 = 1e6/1e10; sigma = 0:13758884321419032825
Jul 03, 2025 n =23900: 263548207114740367541371289178667001; ecm: B1/2 = 5e5/5e9; sigma = 0:662141472355712867
Jul 03, 2025 n =25620: 2463902775730988000120981900735581; ecm: B1/2 = 1e6/1e10; sigma = 0:17077253301629813143
Jul 03, 2025 n =26460: 410928447386360933327698633083061; ecm: B1/2 = 5e5/5e9; sigma = 0:10820663540271985854
- Found by Kurt Beschorner
Jul 03, 2025 n = 1630: 70602979026749241864529172224232850957491; ecm: B1 =30e6; sigma: 3:3790441427
Jul 03, 2025 n =14947: 10768396788032353628021587; P-1: B1 = 140e6
Jul 03, 2025 n=188107: 142988155863419107; gr-mfaktc
Jul 03, 2025 n=188719: 10829463886840500107; gr-mfaktc
- Found by YOYO@home/Keith Myers
Jun 29, 2025 n = 1560: 108656831497374119645419435740256864429622885281; ecm: B1 =85e7; sigma: 0:10063420144641816549
- Found by Kurt Beschorner
Jun 28, 2025 n=184609: 1564472097304599397; gr-mfaktc
Jun 28, 2025 n=184949: 500904644096733043; gr-mfaktc
Jun 28, 2025 n=185123: 2753652950916504569; gr-mfaktc
Jun 28, 2025 n=185693: 116741019534893947; gr-mfaktc
Jun 28, 2025 n=185917: 4032985847120245637; gr-mfaktc
Jun 28, 2025 n=186049: 9112517660974895689; gr-mfaktc
Jun 28, 2025 n=186107: 12032824278053703493; gr-mfaktc
Jun 28, 2025 n=186157: 724145948258859173; gr-mfaktc
Jun 28, 2025 n=186259: 8546221013473025879; gr-mfaktc
Jun 28, 2025 n=186311: 5628327329717383721; gr-mfaktc
Jun 28, 2025 n=186397: 97801727586278711; gr-mfaktc
Jun 28, 2025 n=186727: 1136507338051068079; gr-mfaktc
Jun 28, 2025 n=187009: 418585147319799557; gr-mfaktc
Jun 28, 2025 n=187339: 475551793310626009; gr-mfaktc
Jun 28, 2025 n=187751: 2646632528936098519; gr-mfaktc
Jun 28, 2025 n=187843: 14013106034834054039; gr-mfaktc
- Found by Kurt Beschorner
Jun 22, 2025 n = 4204: 23504220050916161862710973899137963881141682981; ecm: B1 =11e6; sigma: 3:1894358640
Jun 22, 2025 n = 6408: 14997617217656471604746186682930049930633; ecm: B1 = 1e6; sigma: 3:4066264674
Jun 22, 2025 n=177839: 113885452173361117; gr-mfaktc
Jun 22, 2025 n=178021: 14718947824410878161; gr-mfaktc
Jun 22, 2025 n=178469: 152206769695623787; gr-mfaktc
Jun 22, 2025 n=178597: 643303026215302283; gr-mfaktc
Jun 22, 2025 n=178609: 12558017060740140799; gr-mfaktc
Jun 22, 2025 n=178939: 3044120539618954613; gr-mfaktc
Jun 22, 2025 n=179821: 590250428757377719; gr-mfaktc
Jun 22, 2025 n=179951: 2813000519478283361; gr-mfaktc
Jun 22, 2025 n=180371: 161626810241788147; gr-mfaktc
Jun 22, 2025 n=180617: 5239347822233689067; gr-mfaktc
Jun 22, 2025 n=181213: 834862619794964707; gr-mfaktc
Jun 22, 2025 n=181739: 5232222002150994107; gr-mfaktc
Jun 22, 2025 n=182057: 3344826495484909493; gr-mfaktc
Jun 22, 2025 n=182101: 8851400396921359187; gr-mfaktc
Jun 22, 2025 n=182341: 4269834677233741079; gr-mfaktc
Jun 22, 2025 n=182641: 723150300239755877; gr-mfaktc
Jun 22, 2025 n=182657: 3564588172409810311; gr-mfaktc
Jun 22, 2025 n=182713: 17925320102905125329; gr-mfaktc
Jun 22, 2025 n=182813: 13123792712239226471; gr-mfaktc
Jun 22, 2025 n=183871: 2646547807898106347; gr-mfaktc
Jun 22, 2025 n=183907: 3068550671018567711; gr-mfaktc
Jun 22, 2025 n=184487: 1370318807038509677; gr-mfaktc
Jun 22, 2025 n=184511: 176972596136022719; gr-mfaktc
Jun 22, 2025 n=184523: 902597213038449121; gr-mfaktc
- Found by Torbjörn Granlund
Jun 13, 2025 n = 3280: 1911252988713565481467511930631361; ecm: B1/B2=5e5/5e9; sigma = 0:14869155166291194864
Jun 13, 2025 n = 4197: 186020642299970673243193105523869919839; ecm: B1/B2=5e5/5e9; sigma = 0:3679422559654884866
Jun 13, 2025 n = 4368: 237754388415902495275482610318383240001; ecm: B1/B2=5e5/5e9; sigma = 0:6790301644567458983
Jun 13, 2025 n = 4440: 29992347542578666403413713176798066161; ecm: B1/B2=5e5/5e9; sigma = 0:10703124058579170610
Jun 13, 2025 n = 4698: 857112878757369149900856846983631918223; ecm: B1/B2=5e5/5e9; sigma = 0:6725872645354457307
Jun 13, 2025 n = 5160: 18153208857510222275917029175950001; ecm: B1/B2=5e5/5e9; sigma = 0:9344462103149422725
Jun 13, 2025 n = 5798: 729020901308483889226374187702561; ecm: B1/B2=5e5/5e9; sigma = 0:2831118203243718097
Jun 13, 2025 n = 6006: 1646834339105310464972479528858436491; ecm: B1/B2=5e5/5e9; sigma = 0:13060330855148394131
Jun 13, 2025 n = 6393: 1004383546315503999784081217023681; ecm: B1/B2=5e5/5e9; sigma = 0:7017837466796483784
Jun 13, 2025 n = 6630: 21717867918556775397701006854682095582651; ecm: B1/B2=5e5/5e9; sigma = 0:8681758383759537919
Jun 13, 2025 n = 6952: 266560402280626584335130714476824810081; ecm: B1/B2=5e5/5e9; sigma = 0:10408360530165252536
Jun 13, 2025 n = 7134: 2345944430938521441265773138681703; ecm: B1/B2=5e5/5e9; sigma = 0:6089803275547679665
Jun 13, 2025 n = 7744: 298657917027363699143682270414851319617; ecm: B1/B2=5e5/5e9; sigma = 0:9718061344605056692
Jun 13, 2025 n = 7852: 1200500573989685291134651711870822309201; ecm: B1/B2=5e5/5e9; sigma = 0:15817273137027888195
Jun 13, 2025 n = 8752: 75285275278784265466362543673199046209; ecm: B1/B2=5e5/5e9; sigma = 0:2081434458332117129
Jun 13, 2025 n =10224: 441711904555683022704848759749249; ecm: B1/B2=5e5/5e9; sigma = 0:12299192684716804712
Jun 13, 2025 n =10598: 3597922230838275107961604112166557; ecm: B1/B2=5e5/5e9; sigma = 0:742802670757413020
Jun 13, 2025 n =10884: 240052142002189932809080512172069; ecm: B1/B2=5e5/5e9; sigma = 0:6432573676018707663
Jun 13, 2025 n =12744: 2861264146060473813761789402641; ecm: B1/B2=5e5/5e9; sigma = 0:14082982417874106156
Jun 13, 2025 n =12972: 62706334422191443200648762090327781; ecm: B1/B2=5e5/5e9; sigma = 0:1528717617120756122
Jun 13, 2025 n =13308: 44299456880878064723974395106489; ecm: B1/B2=5e5/5e9; sigma = 0:11041586529670737843
Jun 13, 2025 n =14208: 1524771540331195381763459008075393; ecm: B1/B2=5e5/5e9; sigma = 0:2035422395833494726
Jun 13, 2025 n =14694: 1056204819917533482340750452584677; ecm: B1/B2=5e5/5e9; sigma = 0:17497247928878312838
Jun 13, 2025 n =15378: 2886748943617739444060148620598571801; ecm: B1/B2=5e5/5e9; sigma = 0:13956240258883961480
Jun 13, 2025 n =16014: 242908551381089331505792728157369; ecm: B1/B2=5e5/5e9; sigma = 0:14403339319743946042
Jun 13, 2025 n =20140: 143345143759904598933230571447539621; ecm: B1/B2=5e5/5e9; sigma = 0:6034086090293666680
Jun 13, 2025 n =27900: 2032503049742367293008194117618901; ecm: B1/B2=5e5/5e9; sigma = 0:28749172868305296
Jun 13, 2025 n =28860: 1106363195614463302722409012483092901; ecm: B1/B2=5e5/5e9; sigma = 0:8001343898439981042
Jun 13, 2025 n =32460: 44908811495485130347225966983421; ecm: B1/B2=5e5/5e9; sigma = 0:8415941039710008822
Jun 13, 2025 n =32580: 123455996059303344865864899953967121; ecm: B1/B2=5e5/5e9; sigma = 0:2065832344816608518
Jun 13, 2025 n =35220: 7677213175504365363125808691655641; ecm: B1/B2=5e5/5e9; sigma = 0:8768250651617111724
Jun 13, 2025 n =36540: 95295257202978150042834073094761; ecm: B1/B2=5e5/5e9; sigma = 0:13255250198072713356
- Found by Alfred Eichhorn
Jun 10, 2025 n =29387: 283026108577015925490588767507677; ecm: B1 = 1e6; sigma: 1645769116596359
Jun 10, 2025 n =50441: 3003303332793295446604408033747; ecm: B1 = 1e6; sigma: 5067574282017443
Jun 10, 2025 n =50441: 29068953242235993473605584803432399; ecm: B1 = 1e6; sigma: 5615092128928521
- Found by YOYO@home/PjaGtS6GgBR3EXyfKHVJAq961Tm
Jun 10, 2025 n = 695: 354710359182835645091947493448582656163487512993191; ecm: B1 =26e7; sigma: 3:1063586942
- Found by Kurt Beschorner
Jun 10, 2025 n = 1677: 3329328271060519212301311861135286599848131427868613; ecm: B1 =11e6; sigma: 3:722961159
Jun 10, 2025 n = 7039: 7061891984345339432400084989612293; ecm: B1 = 1e6; sigma: 0:3470511025661750
Jun 10, 2025 n=174019: 642473660430743573; gr-mfaktc
Jun 10, 2025 n=174599: 287440556512301483; gr-mfaktc
Jun 10, 2025 n=174599: 595241352743125631; gr-mfaktc
Jun 10, 2025 n=174617: 750851192807631919; gr-mfaktc
Jun 10, 2025 n=175481: 9232764159647605991; gr-mfaktc
Jun 10, 2025 n=175493: 119494346887610203; gr-mfaktc
Jun 10, 2025 n=175519: 229518562061427707; gr-mfaktc
Jun 10, 2025 n=175519: 1474570169908051427; gr-mfaktc
Jun 10, 2025 n=176041: 523016264160476627; gr-mfaktc
Jun 10, 2025 n=176129: 17437340604163989133; gr-mfaktc
Jun 10, 2025 n=176353: 1355686515829697209; gr-mfaktc
Jun 10, 2025 n=176369: 72453751077374671; gr-mfaktc
Jun 10, 2025 n=176369: 4911696122605228111; gr-mfaktc
Jun 10, 2025 n=176467: 2300767223861150173; gr-mfaktc
Jun 10, 2025 n=176807: 591608020926242363; gr-mfaktc
Jun 10, 2025 n=176809: 8278329203428490267; gr-mfaktc
Jun 10, 2025 n=176989: 15297192370190394173; gr-mfaktc
Jun 10, 2025 n=177109: 188486014050640679; gr-mfaktc
- Found by Kurt Beschorner
Jun 02, 2025 n = 2113: 9868727707474225190433227603022143094071; ecm: B1 = 6e6; sigma: 3:916854935
Jun 02, 2025 n = 2845: 43691022461204700191127333067593287157085788271; ecm: B1 = 6e6; sigma: 3:1063586942
Jun 02, 2025 n = 3147: 492789943824235127402251719514552601706889; ecm: B1 = 6e6; sigma: 3:1534536896
Jun 02, 2025 n = 4346: 10976658180306132602586192309231747331; ecm: B1 = 6e6; sigma: 3:2177076240
Jun 02, 2025 n = 4796: 442092471033849713445041776370929; ecm: B1 = 1e6; sigma: 0:5652839186178661
Jun 02, 2025 n = 5240: 7742288941873129751018070735072052321; ecm: B1 = 6e6; sigma: 3:786066703
Jun 02, 2025 n = 6114: 198167541895216911236313484358405550019; ecm: B1 = 6e6; sigma: 3:975157608
Jun 02, 2025 n = 8346: 4918214590818276306261184580500610912731; ecm: B1 = 1e6; sigma: 0:4884842358437486
Jun 02, 2025 n =10320: 44139393752387724266425265434187730938401; ecm: B1 = 1e6; sigma: 4307441870226858
Jun 02, 2025 n =14833: 174987712398772322425125967245757; P-1: B1 = 180e6
Jun 02, 2025 n =14867: 20630936043931768953088771511; P-1: B1 = 140e6
Jun 02, 2025 n=174571: 719782526256611827; gr-mfaktc
| ECM efforts | |
|---|---|
| with Rn: 1 < n < 2000 (Nov 07, 2025) | with Rn: 1999 < n < 3000 (Nov 07, 2025) |
| with Rn: 2999 < n < 4000 (Nov 06, 2025) | with Rn: 3999 < n < 5000 (Oct 29, 2025) |
| with Rn: 4999 < n < 6000 (Oct 12, 2025) | with Rn: 5999 < n < 7000 (Nov 06, 2025) |
| with Rn: 6999 < n < 8000 (Nov 07, 2025) | with Rn: 7999 < n < 9000 (Nov 07, 2025) |
| with Rn: 8999 < n <10000 (Nov 07, 2025) | with Rn: 9999 < n <11000 (Oct 28, 2025) |
| with Rn: 10999 < n <12000 (Oct 28, 2025) | with Rn: 11999 < n <14980L/M (Nov 07, 2025) |
| currently ECM-efforts by yoyo@home: ecm-curves | |||||
|---|---|---|---|---|---|
| B1 = 11e7/17000 curves/ numbers < 951 digits |
737 in progress |
.... in progress |
.... in progress |
.... in progress |
.... in progress |
| B1 = 26e7/42000 curves/ numbers < 600 digits |
673 in progress |
699 in progress |
707 in progress |
747 in progress |
.... in progress |
| B1 = 85e7/70000 curves/ numbers < 400 digits |
741 in progress |
1236 in progress |
1638 in progress |
1722 in progress |
.... in progress |
| B1 = 29e8/nnnn curves/ numbers < 400 digits |
.... in progress |
.... in progress |
.... in progress |
.... in progress |
.... in progress |
| Factorizations | |
|---|---|
| Repunits: R1 - R2500 (Nov 07, 2025) | Repunits: R2501 - R5000 (Nov 06, 2025) |
| Repunits: R5001 - R7500 (Oct 12, 2025) | Repunits: R7501 - R10000 (Sep 16, 2024) |
| Repunits: R10001 - R12500 (Oct 12, 2025) | Repunits: R12501 - R14980L/M (Sep 24, 2025) |
| Exponent | Primes/PRP found by ... |
| - 10ˆ10 | R2 = prime |
| - 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 = prime A. Enge/P. Underwood (May 2025) |
| - 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) |