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


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-  Last update: Dec 02, 2025    

- Found by Alfred Eichhorn 
   Dec 02, 2025  n =53089: 4298434139924946907019249107;                            ecm: B1 = 1e6; sigma: 0:1610881837867369  
   Dec 02, 2025  n =53089: 9701962958397346539284956002032129;                      ecm: B1 = 1e6; sigma: 0:6788613116981913 
   Dec 02, 2025  n =53239: 2585542412232443163815461235867;                         ecm: B1 = 1e6; sigma: 0:8715022549635066 

 
- Found by YOYO@home/crashtech
   Dec 01, 2025  n = 1278: 125151895006429085711708327282074420309527054471957157;  ecm: B1 =85e7; sigma: 0:3546992259728554838 
   
   
- Found by John            
   Dec 01, 2025  n = 8447: 23532249505104970201509426459824320081;                  ecm: B1 = 1e6; sigma: 1489816204225402

 
- Found by Torbjörn Granlund 
   Dec 01, 2025  n = 1436: 363556621589222682036523174798067806520954921;           ecm: B2 = 2e7/1e11; sigma: 3:3120587397
   Dec 01, 2025  n = 1505: 59696333710576856484355571580317055432224667184271;      ecm: B2 = 2e7/1e11; sigma: 1:2591311327
   Dec 01, 2025  n = 1546: 52864362334641411935291082383909636401075020059;         ecm: B2 = 2e7/1e11; sigma: 3:970378309
   Dec 01, 2025  n = 1606: 2648351821119735202248358515291199401754096412030093;    ecm: B2 = 2e7/1e11; sigma: 3:3318120607
   Dec 01, 2025  n = 1814: 177132509217952548218526203573532338447081013931;        ecm: B2 = 2e7/1e11; sigma: 3:1359964141
   Dec 01, 2025  n = 1824: 3801638373231591125328890242459992513986796834906913;    ecm: B2 = 5e7/2.5e11; sigma: 0:14490582329689032653
   Dec 01, 2025  n = 1950: 455488632818255423618294643103015306628392801;           ecm: B2 = 5e7/2.5e11; sigma: 0:13897628741783896021
   Dec 01, 2025  n = 1970: 340717156290927238874897950415936194037905310281;        ecm: B2 = 2e7/1e11; sigma: 3:1390619855
   Dec 01, 2025  n = 2068: 61030896616899812428014738369527937252015709;            ecm: B2 = 1e7;      sigma: 3:1826721549
   Dec 01, 2025  n = 2286: 1275706345585682495860974677957417301632975317;          ecm: B2 = 2e7/1e11; sigma: 3:1902478723
   Dec 01, 2025  n = 2286: 6050065574059952053911010514968516325407;                ecm: B2 = 2e7/1e11; sigma: 3:442672681
   Dec 01, 2025  n = 2366: 10171409110647536944971724879275746626826059;            ecm: B2 = 2e7/1e11; sigma: 0:12293658917608847221
   Dec 01, 2025  n = 2366: 24939208741955313474062821532308504575765583;            ecm: B2 = 1e7/3e10; sigma: 3:1266377239
   Dec 01, 2025  n = 2442: 11779596332113635849006583417391309791185331;            ecm: B2 = 5e7/5e11; sigma: 0:4277189439997616089
   Dec 01, 2025  n = 2496: 3962708062216757662620112645732950183198721;             ecm: B2 = 2e7/1e11; sigma: 3:814233927
   Dec 01, 2025  n = 2530: 152169687122709938350970523324087192873643465841;        ecm: B2 = 2e7/1e11; sigma: 3:3504149707
   Dec 01, 2025  n = 2532: 4926504849783160385828965384509070184629;                ecm: B2 = 1e7/3e10; sigma: 3:3161808291
   Dec 01, 2025  n = 2646: 509706939243334747841186018230927334458185769;           ecm: B2 = 2e7/1e11; sigma: 3:3413868619
   Dec 01, 2025  n = 2688: 177410341942266500588111099489432686104193;              ecm: B2 = 2e7/1e11; sigma: 3:1587707951
   Dec 01, 2025  n = 2730: 9571725059902453163980650062479195454881;                ecm: B2 = 1e7/3e10; sigma: 0:511405893875714357
   Dec 01, 2025  n = 2742: 239946213332311901179438201698533439702859;              ecm: B2 = 1e7/3e10; sigma: 0:14446795740463494977
   Dec 01, 2025  n = 2750: 430551800230554472228099004441347667226251;              ecm: B2 = 1e7/3e10; sigma: 3:1771725703
   Dec 01, 2025  n = 2772: 22041663556012348835168023976781975424621;               ecm: B2 = 2e7/1e11; sigma: 1:990486571
   Dec 01, 2025  n = 2870: 7274574283084886228970156029364248959697728001;          ecm: B2 = 2e7/1e11; sigma: 3:2361849973
   Dec 01, 2025  n = 2910: 5991986515543545660832210531460466678073771;             ecm: B2 = 2e7/1e11; sigma: 3:1850144767
   Dec 01, 2025  n = 2916: 2125120582151307346907178739237408472215880789341249;    ecm: B2 = 2e7/1e11; sigma: 3:1165134241
   Dec 01, 2025  n = 2946: 1126482418160283957238126570523399364971804618077407619; ecm: B2 = 2e7/1e11; sigma: 1:2049438175
   Dec 01, 2025  n = 3012: 24043742454497214533516005794826435441;                  ecm: B2 = 2e7/1e11; sigma: 1:1301402097
   Dec 01, 2025  n = 3102: 813235885792304330699359436617353496882672673621374561;  ecm: B2 = 2e7/1e11; sigma: 3:4171208691
   Dec 01, 2025  n = 3132: 979961180443807529194148590533339013549;                 ecm: B2 = 2e7/1e11; sigma: 1:2757503059
   Dec 01, 2025  n = 3144: 91750697330083507769222424655909530623580073;            ecm: B2 = 2e7/1e11; sigma: 3:848590919
   Dec 01, 2025  n = 3168: 11303188942308810864548766140232157066273;               ecm: B2 = 1e7/3e10; sigma: 1:4010984965
   Dec 01, 2025  n = 3306: 190491794167941136891187306229602429287;                 ecm: B2 = 1e7/3e10; sigma: 3:2182769289
   Dec 01, 2025  n = 3306: 4890876696646128566832634957634871346933;                ecm: B2 = 2e7/1e11; sigma: 3:1385652261
   Dec 01, 2025  n = 3402: 477846799397991300635384190554261048533903;              ecm: B2 = 2e7/1e11; sigma: 3:1693046801
   Dec 01, 2025  n = 3432: 97075064833339427043657948148952503201;                  ecm: B2 = 2e7/1e11; sigma: 0:5659068501763579903
   Dec 01, 2025  n = 3460L: 2540757358839600104113202111310925061720141;            ecm: B2 = 5e7/2.5e11; sigma: 0:13109663403317889847
   Dec 01, 2025  n = 3630: 5233687953269526441837874364121264865646881;             ecm: B2 = 1e7/3e10; sigma: 3:618789077
   Dec 01, 2025  n = 3690: 2938305108314208459772797341126813803026671822011;       ecm: B2 = 2e7/1e11; sigma: 1:4101871257
   Dec 01, 2025  n = 3690: 3423978637273985273437160964946244292811;                ecm: B2 = 2e7/1e11; sigma: 3:598883997
   Dec 01, 2025  n = 4060L: 116920298925375519989324489550221526469106921;          ecm: B2 = 2e7/1e11; sigma: 3:1514819749
   Dec 01, 2025  n = 4100M: 495010369463614668852274515172200877683101;             ecm: B2 = 2e7/1e11; sigma: 3:3850600825
   Dec 01, 2025  n = 4300L: 57937373461141945151624870795609144152805060101;        ecm: B2 = 2e7/1e11; sigma: 3:263378935
   Dec 01, 2025  n = 4300M: 1656701265340108969295929008270535125301;               ecm: B2 = 1e7/3e10; sigma: 0:13317594721130732133
   Dec 01, 2025  n = 4410: 1561992592027134620872575842443878119761;                ecm: B2 = 2e7/1e11; sigma: 3:3730999709
   Dec 01, 2025  n = 4460M: 405953169536941192709764791177483633881;                ecm: B2 = 1e8/1e12; sigma: 1:421540381
   Dec 01, 2025  n = 4500M: 3873372485949783947505228373607023795501;               ecm: B2 = 2e7/1e11; sigma: 3:2573048001
   Dec 01, 2025  n = 4940L: 323513498930082919004816752992178351721238593161;       ecm: B2 = 2e7;      sigma: 3:1500245557
   Dec 01, 2025  n = 6300M: 6237413839189938711110598321568943584501;               ecm: B2 = 2e7/1e11; sigma: 3:1912897375

   
- Found by John            
   Nov 25, 2025  n = 9679: 8731993366626702573478756300748972467;                   ecm: B1 = 1e6; sigma: 282982107171835


- Found by YOYO@home/Dingo
   Nov 23, 2025  n =  697: 17197330244963852284951729944354742482088042881277549790486083; ecm: B1 =26e7; sigma: 0:1841309130937600685 

   
- Found by Kurt Beschorner 
   Nov 23, 2025  n =10053: 11897429002540730275166073669043;                        ecm: B1 = 1e6; sigma: 2880219009495013
   Nov 23, 2025  n =10089: 14259395992830372945405078115966489;                     ecm: B1 = 1e6; sigma: 7720465634134014 


- Found by John            
   Nov 16, 2025  n = 9931: 242436817012717437376124014346203853641;                 ecm: B1 = 1e6; sigma: 3777660168348482 

 
-  Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche, Kurt Beschorner 
   Nov 16, 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 26.350M of 79676605 dimensions (37.4%, ETA 1217h)  
				  
				  
- Found by Alfred Eichhorn 
   Nov 14, 2025  n =52561: 1238349275694000429756109601;                            ecm   
   Nov 14, 2025  n =52567: 1290064649160129760858559;                               ecm   
   Nov 14, 2025  n =52711: 20661579612272570975095337102477;                        ecm   


- 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%;    


- 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


ECM efforts
with Rn:         1 < n < 2000 (Dec 02, 2025) with Rn:     1999 < n < 3000 (Nov 07, 2025)
with Rn:     2999 < n < 4000 (Nov 14, 2025) with Rn:     3999 < n < 5000 (Dec 01, 2025)
with Rn:     4999 < n < 6000 (Dec 01, 2025) with Rn:     5999 < n < 7000 (Dec 01, 2025)
with Rn:     6999 < n < 8000 (Nov 14, 2025) with Rn:     7999 < n < 9000 (Dec 01, 2025)
with Rn:     8999 < n <10000 (Dec 01, 2025) with Rn:     9999 < n <11000 (Dec 01, 2025)
with Rn:   10999 < n <12000 (Nov 14, 2025) with Rn:   11999 < n <14980L/M (Nov 25, 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 (Dec 02, 2025) Repunits:  R2501 - R5000 (Nov 06, 2025)
Repunits: R5001   - R7500 (Oct 12, 2025) Repunits: R7501 - R10000 (Dec 01, 2024)
Repunits: R10001 - R12500 (Nov 25, 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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