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


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-  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)




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 ...
    - 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)

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