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

Related links:



ECM EFFORTS
with Rn:      323 < n < 2000 (Mar 18, 2019) with Rn:     1999 < n < 3000 (Jan 14, 2019)
with Rn:     2999 < n < 4000 (Mar 23, 2019) with Rn:     3999 < n < 5000 (Mar 23, 2019)
with Rn:     4999 < n < 6000 (Mar 22, 2019) with Rn:     5999 < n < 7000 (Mar 22, 2019)
with Rn:     6999 < n < 8000 (Mar 22, 2019) with Rn:     7999 < n < 9000 (Mar 22, 2019)
with Rn:     8999 < n <10000 (Mar 23, 2019) with Rn:     9999 < n <11000 (Mar 16, 2017)
with Rn:   10999 < n <12000 (Mar 16, 2017) with Rn:   11999 < n <12501 (Mar 16, 2018)




Efforts by   yoyo@home:    ecm-curves
B1 = 43e6/8600 curves/
numbers < 1001 digits
967
working
971
working
973
working
977
working
985
working
B1 = 11e7/18400 curves/
numbers < 701 digits
551
working
563
working
647
working
879
working
895
working
B1 = 26e7/46000 curves/
numbers < 450 digits
735
working
1136
working
1142
working
1160
working
2380M
working
B1 = 85e7/75000 curves/
numbers < 250 digits
471
working
585
working
609
working
2420L
working
2460L
working



News
-  Last update: Mar 24, 2019          

-  Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche, Kurt Beschorner 
   Mar 20, 2019   R507, c200, GNFS: the R507-polynom was created by Makzym Voznyy in cooperation with mersenneforum - thanks!
                  668M unique relations and 609M unique ideals are collected
                  currently progress ~ 91.5%:    
                  msieve: -nc1 (sieving-step): found 54178308 cycles, need 53842635
                  Matrix-size: 53.842M * 53.842M is still too big
                  


-  Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche, Kurt Beschorner 
   Mar 20, 2019   next GNFS-number: R1980M, c187;
                  status: in preparation
   

-  Found by Kurt Beschorner 
   Jan 27, 2019   n =6380L: 2745820043425052285732308383257413452721;              B1= 11e6; sigma = 1168867487
   

-  Found by Alfred Eichhorn 
-  Correction
   false:    Jan 02, 2019  n =88229: 168663925267282807631 * 6587722355......c85208;         B1=11e3; sigma = 7899039265179683671   
false: Jan 02, 2019 n =88297: 421924698407540082163 * 2633434627......c85276; B1=11e3; sigma = 14753187368402742930
correct: Jan 02, 2019 n =85229: 168663925267282807631 * 6587722355......c85208; B1=11e3; sigma = 7899039265179683671
correct: Jan 02, 2019 n =85297: 421924698407540082163 * 2633434627......c85276; B1=11e3; sigma = 14753187368402742930
Find out by Alfred Eichhorn Mar 03, 2019 n =86533: 619107692324459729999 * 1794697634......c86512; B1=11e3; sigma = 9418280585179860364 - Found by NFS@home Mar 12, 2019 n = 622: 972257004001983078662961403513565995843134142539444914120798476327; SNFS Mar 12, 2019 n = 622: 6233584499738299340076596109269276052417987101388073691610569618213; SNFS - Found by Alfred Reich Dec 15, 2018 n = 2708: 1354592090378874321847140113114629; B1=11e7; sigma= 12297352491712952550 Dec 16, 2018 n =12064: 2546977868727768182069660426273; B1=1028e6; P-1 Dec 22, 2018 n =12121: 2407649538814710985900453; B1=5e4; sigma= 13750623641237937222 Dec 28, 2018 n =12118: 37627065539202417697996134091; B1=1e6; sigma= 13539547277930664860 Jan 16, 2019 n = 7022: 283348395018893878476537518650454921; B1=1e6; sigma= 5134893878574285 Jan 25, 2019 n = 7028: 59084034101806249573177345121188082021; B1=3e6; sigma= 5134893878574285 Febr. 2019 n = 5742: 1808861312313765194718694286223289; ecm Febr. 2019 n = 5742: 26694412701645812093609827243540778173; ecm Febr. 2019 n =12016: 225074120702108650622033393; ecm Febr. 2019 n =12034: 1735734705327237556487486249; ecm Febr. 2019 n =12164: 28828529932530163370359139281; ecm Mar 13, 2019 n =10242: 3097799581276911397470607; ecm Mar 13, 2019 n =10596: 3508961388697255346792921041; ecm Mar 13, 2019 n =10762: 128168614542349138637788110571; ecm Mar 13, 2019 n =10798: 32495134814615985154078931059; ecm Mar 13, 2019 n =10928: 21610736539944397217183014033; ecm Mar 13, 2019 n =11036: 304536125589430734031161881; ecm Mar 13, 2019 n =11282: 1110942020167095525857115491; ecm Mar 13, 2019 n =11306: 209468756726651763986369; ecm Mar 13, 2019 n =11452: 40582155112763469608420221; ecm Mar 13, 2019 n =11528: 1683315922648167594657113; ecm Mar 13, 2019 n =11786: 5253482089584309033718779053; ecm Mar 13, 2019 n =12232: 236455297365611721449009; ecm Mar 13, 2019 n =12404: 11480901432082491474467669; ecm Mar 13, 2019 n =12464: 6381241850240012897685030206417; ecm Mar 19, 2019 n = 3517: 15049205975362719271403629095613; ecm Mar 19, 2019 n = 3811: 4230400397995823751761752498673425951; ecm Mar 19, 2019 n = 5011: 18290731943060415761926980563; ecm Mar 19, 2019 n = 5129: 8328660592676646532160852018483; ecm Mar 19, 2019 n = 5137: 132303510013924335352184612000627; ecm Mar 19, 2019 n = 5377: 5510058690107201954998133; ecm Mar 19, 2019 n = 5489: 1179809540762792176191331213; ecm Mar 19, 2019 n = 5489: 8252515256135679514753234963; ecm Mar 19, 2019 n = 5581: 535904708382078512196295997; ecm Mar 19, 2019 n = 5951: 8784231992259565760978130391; ecm Mar 19, 2019 n = 6841: 845430576852142136446391; ecm Mar 19, 2019 n = 6853: 647744953460308690797834871; ecm Mar 19, 2019 n = 7003: 102607514347472076971830803119; ecm Mar 19, 2019 n = 7027: 41104731444008156751481; ecm Mar 19, 2019 n = 7051: 29604903114429721493322120973; ecm Mar 19, 2019 n = 7067: 369493238395369768260169307; ecm Mar 19, 2019 n = 8083: 15970724420175578183624380507; ecm Mar 19, 2019 n = 8143: 1193940252389791933793077; ecm Mar 19, 2019 n = 8148: 23888331928755038568489169001705089; ecm Mar 19, 2019 n = 8202: 2501784060079742341761786602162653; ecm Mar 19, 2019 n = 8219: 1235297545075689379150983191; ecm Mar 19, 2019 n = 8256: 28824972281059367505346468479361; ecm Mar 19, 2019 n = 8270: 851918694465828792193616615921; ecm Mar 19, 2019 n = 8298: 363512492441311226935404528811; ecm Mar 19, 2019 n = 8360: 1998040637750997434972713736401; ecm Mar 19, 2019 n = 8369: 126917530334778836981430307; ecm Mar 19, 2019 n = 8468: 108584449518610510682983051741; ecm Mar 19, 2019 n = 8482: 307688492787248629838887026976339; ecm Mar 19, 2019 n = 8737: 2172670597272979787190834089; ecm Mar 19, 2019 n = 8741: 31596349424056100463726809; ecm Mar 19, 2019 n = 8809: 22948722432507184413283639; ecm Mar 19, 2019 n = 9049: 40070240278639928381632251797; ecm Mar 19, 2019 n = 9056: 2775983024448536727830198592061963297; ecm Mar 19, 2019 n = 9110: 25586968497740825335357350721; ecm Mar 19, 2019 n = 9151: 1754434098708629492265959; ecm Mar 19, 2019 n = 9176: 9294219373611032701407977803759921; ecm Mar 19, 2019 n = 9296: 700345442907576498751955664967841; ecm Mar 19, 2019 n = 9326: 21278661702033571812765695014342943; ecm Mar 19, 2019 n = 9378: 47564198514094606996894728891825961; ecm Mar 19, 2019 n = 9403: 32747793424417916919488900197; ecm Mar 19, 2019 n = 9464: 23952841847905762726046416665817; ecm Mar 19, 2019 n = 9475: 280772637026381430522806842601; ecm Mar 19, 2019 n = 9574: 57072802697092714398248212530893161; ecm Mar 19, 2019 n = 9614: 6838142123374733667486245104609; ecm Mar 19, 2019 n = 9682: 10273463340699048210919161371; ecm Mar 19, 2019 n = 9706: 9320198109653196649407426757249; ecm Mar 19, 2019 n = 9742: 116476155362484924487571735996459; ecm Mar 19, 2019 n = 9772: 33656479000542395699931698558373291481489; ecm Mar 19, 2019 n = 9782: 42817487886880421808259990142918329; ecm Mar 19, 2019 n = 9833: 6491414647848756214895883307; ecm Mar 19, 2019 n = 9834: 971673025120229759530902007; ecm Mar 19, 2019 n = 9863: 2033380269061367824299039479; ecm Mar 22, 2019 n = 3123: 49295447401007236002837366533239; ecm Mar 22, 2019 n = 4219: 110153832613175722811774484608311382561; ecm Mar 22, 2019 n = 4553: 17970589982080991669871723865408721; ecm Mar 22, 2019 n = 9079: 18339645803059176086746837; ecm Mar 22, 2019 n = 9473: 12243898716526990349504867; ecm - Found by YOYO@home - YOYO@home/MartinOrpen Dec 25, 2018 n =1361: 3778133360275162515561392131873427; B1= 11e6; sigma = 0:11807715445759359346 - YOYO@home/lanbrown Dec 25, 2018 n = 675: 11302625411464361797455477156321087241022971504311406801; B1= 85e7; sigma = 0:5866504219856597377 - YOYO@home/user3928 Dec 26, 2018 n = 735: 1043724088777138410374757855271037976569452410073591; B1= 26e7; sigma = 17739413172727101663 - YOYO@home/bbmz Jan 05, 2019 n =1355: 64798931224892046095300386296961245938921; B1= 11e6; sigma = 0:12395092201359388656 - YOYO@home/solo Jan 14, 2019 n =2580L: 40577891868500992650677399803808454657267203875748156761; B1= 26e7; sigma = 0:2155320441625669934 - YOYO@home/Richard Buser Feb 24, 2019 n =6100L: 17729642323320850278883616474935850401; B1= 11e6; sigma = 0:12691948414942556416 - YOYO@home/Danny Feb 25, 2019 n =6100L: 69091807550221647412700483018565101; B1= 11e6; sigma = 0:373158171685814716

Factorizations
Repunits: R1        - R2500 (Mar 13, 2019) Repunits:  R2501 - R5000 (Mar 23, 2019)
Repunits: R5001   - R7500 (Mar 22, 2019) Repunits: R7501 - R10000 (Mar 23, 2019)
Repunits: R10001 - R12500 (Mar 16, 2018) Repunits: R12540LM - R14980LM (Sep 30, 2017)


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