- Last update: Jan 09, 2026
- Found by Kurt Beschorner
Jan 09, 2026 n = 1870: 5128668766272866468095639305104398433189744851; ecm: B1 =30e6; sigma: 6613595492840788
Jan 09, 2026 n = 6059: 604754479626970633385807908885721925751; ecm: B1 = 1e6; sigma: 3737768319609425
Jan 09, 2026 n =10062: 24789562461695963248181535390536428093; ecm: B1 = 3e6; sigma: 7961458325696619
Jan 09, 2026 n =10092: 118467369849811516102081067316529174789; ecm: B1 = 3e6; sigma: 8486153667115848
Jan 09, 2026 n=10100M: 283150057168781592245569347545404764475501; ecm: B1 = ne6; sigma: 7378141976898627
- Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche, Oliver Kruse, Kurt Beschorner
Jan 07, 2026 n =2100L: 193751542953818383623751007971508697187648569310897340384149680038864694209730259117193071430058513601; SNFS
- Found by John
Jan 02, 2026 n = 7283: 314692671239067813832517110680262983757; ecm: B1 = 3e6; sigma: 73395840219749
Jan 02, 2026 n = 7477: 1074073393308214830438311650689898276747; ecm: B1 = 3e6; sigma: 8542930431401004
Jan 02, 2026 n =14659: 29247967807756474051929772534601; ecm: B1 = 1e6; sigma: 866437075847994
- Found by Kurt Beschorner
Dec 31, 2025 n =10019: 92737573618781078807405607396441881; ecm: B1 = 1e6; sigma: 285315050378714
Dec 31, 2025 n =10026: 9180588964796985741580659514205863; ecm: B1 = 2e6; sigma: 3725749690948259
Dec 31, 2025 n =10052: 2542173255124202292496079056095920629; ecm: B1 = 2e6; sigma: 1191876174981516
Dec 31, 2025 n =10077: 79959108219645603435640821367094959; ecm: B1 = 1e6; sigma: 3980675226921496
- Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche, Kurt Beschorner
Dec 31, 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 65.580M of 70412842 dimensions (93.0%, ETA 131h)
- Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche, Kurt Beschorner
Dec 24, 2025 R477/c252: SNFS-difficulty = 318;
1450M unique raw relations and 1846M unique ideals are collected;
target: 2850M unique raw relations;
currently progress 51%;
- Found by Alfred Eichhorn
Dec 20, 2025 n =31139: 2387837373197611980511935067; ecm: B1 = 1e6; sigma: 2087173534598650
Dec 20, 2025 n =53327: 43305952419150858153516746452321; ecm: B1 = 1e6; sigma: 8330653939167202
Dec 20, 2025 n =53549: 1323393649967475118367966597; ecm: B1 = 1e6; sigma: 5141962449211020
- Found by Kurt Beschorner
Dec 18, 2025 n =10085: 672122917247953182262566754321; ecm: B1 = 1e6; sigma: 5195366855128972
Dec 18, 2025 n =10087: 1806529119146425581950105026208477; ecm: B1 = 1e6; sigma: 6198181643662328
- 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: B1/2 = 2e7/1e11; sigma: 3:3120587397
Dec 01, 2025 n = 1505: 59696333710576856484355571580317055432224667184271; ecm: B1/2 = 2e7/1e11; sigma: 1:2591311327
Dec 01, 2025 n = 1546: 52864362334641411935291082383909636401075020059; ecm: B1/2 = 2e7/1e11; sigma: 3:970378309
Dec 01, 2025 n = 1606: 2648351821119735202248358515291199401754096412030093; ecm: B1/2 = 2e7/1e11; sigma: 3:3318120607
Dec 01, 2025 n = 1814: 177132509217952548218526203573532338447081013931; ecm: B1/2 = 2e7/1e11; sigma: 3:1359964141
Dec 01, 2025 n = 1824: 3801638373231591125328890242459992513986796834906913; ecm: B1/2 = 5e7/2.5e11; sigma: 0:14490582329689032653
Dec 01, 2025 n = 1950: 455488632818255423618294643103015306628392801; ecm: B1/2 = 5e7/2.5e11; sigma: 0:13897628741783896021
Dec 01, 2025 n = 1970: 340717156290927238874897950415936194037905310281; ecm: B1/2 = 2e7/1e11; sigma: 3:1390619855
Dec 01, 2025 n = 2068: 61030896616899812428014738369527937252015709; ecm: B1 = 1e7; sigma: 3:1826721549
Dec 01, 2025 n = 2286: 1275706345585682495860974677957417301632975317; ecm: B1/2 = 2e7/1e11; sigma: 3:1902478723
Dec 01, 2025 n = 2286: 6050065574059952053911010514968516325407; ecm: B1/2 = 2e7/1e11; sigma: 3:442672681
Dec 01, 2025 n = 2366: 10171409110647536944971724879275746626826059; ecm: B1/2 = 2e7/1e11; sigma: 0:12293658917608847221
Dec 01, 2025 n = 2366: 24939208741955313474062821532308504575765583; ecm: B1/2 = 1e7/3e10; sigma: 3:1266377239
Dec 01, 2025 n = 2442: 11779596332113635849006583417391309791185331; ecm: B1/2 = 5e7/5e11; sigma: 0:4277189439997616089
Dec 01, 2025 n = 2496: 3962708062216757662620112645732950183198721; ecm: B1/2 = 2e7/1e11; sigma: 3:814233927
Dec 01, 2025 n = 2530: 152169687122709938350970523324087192873643465841; ecm: B1/2 = 2e7/1e11; sigma: 3:3504149707
Dec 01, 2025 n = 2532: 4926504849783160385828965384509070184629; ecm: B1/2 = 1e7/3e10; sigma: 3:3161808291
Dec 01, 2025 n = 2646: 509706939243334747841186018230927334458185769; ecm: B1/2 = 2e7/1e11; sigma: 3:3413868619
Dec 01, 2025 n = 2688: 177410341942266500588111099489432686104193; ecm: B1/2 = 2e7/1e11; sigma: 3:1587707951
Dec 01, 2025 n = 2730: 9571725059902453163980650062479195454881; ecm: B1/2 = 1e7/3e10; sigma: 0:511405893875714357
Dec 01, 2025 n = 2742: 239946213332311901179438201698533439702859; ecm: B1/2 = 1e7/3e10; sigma: 0:14446795740463494977
Dec 01, 2025 n = 2750: 430551800230554472228099004441347667226251; ecm: B1/2 = 1e7/3e10; sigma: 3:1771725703
Dec 01, 2025 n = 2772: 22041663556012348835168023976781975424621; ecm: B1/2 = 2e7/1e11; sigma: 1:990486571
Dec 01, 2025 n = 2870: 7274574283084886228970156029364248959697728001; ecm: B1/2 = 2e7/1e11; sigma: 3:2361849973
Dec 01, 2025 n = 2910: 5991986515543545660832210531460466678073771; ecm: B1/2 = 2e7/1e11; sigma: 3:1850144767
Dec 01, 2025 n = 2916: 2125120582151307346907178739237408472215880789341249; ecm: B1/2 = 2e7/1e11; sigma: 3:1165134241
Dec 01, 2025 n = 2946: 1126482418160283957238126570523399364971804618077407619; ecm: B1/2 = 2e7/1e11; sigma: 1:2049438175
Dec 01, 2025 n = 3012: 24043742454497214533516005794826435441; ecm: B1/2 = 2e7/1e11; sigma: 1:1301402097
Dec 01, 2025 n = 3102: 813235885792304330699359436617353496882672673621374561; ecm: B1/2 = 2e7/1e11; sigma: 3:4171208691
Dec 01, 2025 n = 3132: 979961180443807529194148590533339013549; ecm: B1/2 = 2e7/1e11; sigma: 1:2757503059
Dec 01, 2025 n = 3144: 91750697330083507769222424655909530623580073; ecm: B1/2 = 2e7/1e11; sigma: 3:848590919
Dec 01, 2025 n = 3168: 11303188942308810864548766140232157066273; ecm: B1/2 = 1e7/3e10; sigma: 1:4010984965
Dec 01, 2025 n = 3306: 190491794167941136891187306229602429287; ecm: B1/2 = 1e7/3e10; sigma: 3:2182769289
Dec 01, 2025 n = 3306: 4890876696646128566832634957634871346933; ecm: B1/2 = 2e7/1e11; sigma: 3:1385652261
Dec 01, 2025 n = 3402: 477846799397991300635384190554261048533903; ecm: B1/2 = 2e7/1e11; sigma: 3:1693046801
Dec 01, 2025 n = 3432: 97075064833339427043657948148952503201; ecm: B1/2 = 2e7/1e11; sigma: 0:5659068501763579903
Dec 01, 2025 n = 3460L: 2540757358839600104113202111310925061720141; ecm: B1/2 = 5e7/2.5e11; sigma: 0:13109663403317889847
Dec 01, 2025 n = 3630: 5233687953269526441837874364121264865646881; ecm: B1/2 = 1e7/3e10; sigma: 3:618789077
Dec 01, 2025 n = 3690: 2938305108314208459772797341126813803026671822011; ecm: B1/2 = 2e7/1e11; sigma: 1:4101871257
Dec 01, 2025 n = 3690: 3423978637273985273437160964946244292811; ecm: B1/2 = 2e7/1e11; sigma: 3:598883997
Dec 01, 2025 n = 4060L: 116920298925375519989324489550221526469106921; ecm: B1/2 = 2e7/1e11; sigma: 3:1514819749
Dec 01, 2025 n = 4100M: 495010369463614668852274515172200877683101; ecm: B1/2 = 2e7/1e11; sigma: 3:3850600825
Dec 01, 2025 n = 4300L: 57937373461141945151624870795609144152805060101; ecm: B1/2 = 2e7/1e11; sigma: 3:263378935
Dec 01, 2025 n = 4300M: 1656701265340108969295929008270535125301; ecm: B1/2 = 1e7/3e10; sigma: 0:13317594721130732133
Dec 01, 2025 n = 4410: 1561992592027134620872575842443878119761; ecm: B1/2 = 2e7/1e11; sigma: 3:3730999709
Dec 01, 2025 n = 4460M: 405953169536941192709764791177483633881; ecm: B1/2 = 1e8/1e12; sigma: 1:421540381
Dec 01, 2025 n = 4500M: 3873372485949783947505228373607023795501; ecm: B1/2 = 2e7/1e11; sigma: 3:2573048001
Dec 01, 2025 n = 4940L: 323513498930082919004816752992178351721238593161; ecm: B1 = 2e7; sigma: 3:1500245557
Dec 01, 2025 n = 6300M: 6237413839189938711110598321568943584501; ecm: B1/2 = 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
- 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
- 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
| ECM efforts | |
|---|---|
| with Rn: 1 < n < 2000 (Jan 09, 2026) | with Rn: 1999 < n < 3000 (Jan 07, 2026) |
| with Rn: 2999 < n < 4000 (Dec 31, 2025) | with Rn: 3999 < n < 5000 (Jan 09, 2025) |
| with Rn: 4999 < n < 6000 (Dec 14, 2025) | with Rn: 5999 < n < 7000 (Jan 07, 2026) |
| with Rn: 6999 < n < 8000 (Jan 03, 2026) | with Rn: 7999 < n < 9000 (Dec 01, 2025) |
| with Rn: 8999 < n <10000 (Dec 01, 2025) | with Rn: 9999 < n <11000 (Jan 09, 2026) |
| with Rn: 10999 < n <12000 (Nov 14, 2025) | with Rn: 11999 < n <14980L/M (Dec 31, 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 (Jan 07, 2026) | Repunits: R2501 - R5000 (Dec 03, 2025) |
| Repunits: R5001 - R7500 (Jan 03, 2025) | Repunits: R7501 - R10000 (Dec 01, 2024) |
| Repunits: R10001 - R12500 (Jan 01, 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) |