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Factors of Repunit Numbers

Repunit100-20211018.pdf

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Factor of Repunit Numbers site is moved from "http://www.h4.dion.ne.jp/~rep" to this page .

Now factors list and updates are on this web .

Recent update

From everybody :

1291 : c1255 = 1824300601696080281746056851529399947969 * c1216

B1 = 11000000 , sigma = 0:15632398092653511799 , 2018.01.07 , found by yoyo@home

8130 : c2090 = 399043838982071991709808323681 * c2060

B1 = 250000 , sigma = 1:2297325767 , 2018.01.14 , found by Alfred Reich

6460M : c1107 = 269834533853067177744952487725981 * c1074

B1 = 11000000 , sigma = 0:6089771197226634237 , 2018.01.25 , found by yoyo@home

907 : c 870 = 5808730604484537495106777140578352936337679 * c 828

B1 = 43000000 , sigma = 0:6571224515312869036 , 2018.01.25 , found by yoyo@home

8300L : c1598 = 267352619706048404954978381518286405201 * c1560

B1 = 1000000 , sigma = 1:525732917 , 2018.02.10 , found by Alfred Reich

1373 : c1373 = 229016141864852008546928682385264917916393201 * c1328

B1 = 11000000 , sigma = 0:3460683030665955377 , 2018.02.12 , found by yoyo@home

1030 : c 199 = 2102173879615901190724805905901825960646731569309620829374935176385195435873285181866611 * P 111

GNFS , 2018.02.16 , found by Bo Chen, Wenjie Fang, Alfred Eichhorn and Kurt Beschorner

845 : c 624 = 212791029980380683788275402661746746635743222681 * c 577

B1 = 110000000 , sigma = 0:12524453152895746251 , found by yoyo@home

439 : c 417 = 4420197369389321682193651680706705688987 * c 377

B1 = 260000000 , sigma = 0:18058967600223373828 , 2018.06.05 , found by yoyo@home

439 : c 377 = 221873542765174880268698440076944289246071 * c 336

B1 = 260000000 , sigma = 0:17298367688802026569 , 2018.06.05 , found by yoyo@home

929 : c 845 = 443771757418389946333550544711719925863831 * c 803

B1 = 43000000 , sigma = 0:9461729732758165730 , 2018.06.26 , found by yoyo@home

1321 : c1316 = 31337427608867251262904500110595867 * c1281

B1 = 11000000 , sigma = 0:3388369777661332901 , 2018.06.29 , found by yoyo@home

776 : c 384 = 89889606269073901082901578436277965983883967076039535258233 * P 326

ECM , 2018.06.30 , found by Sam Wagstaff

1319 : c1267 = 14390577104652629414853222197261272650807833666740820489 * c1212

B1 = 11000000 , sigma = 0:9515467317591503677 , 2018.07.04 , found by yoyo@home

5660M : c1103 = 1369840259774549318827876634983169895121 * p1064

B1 = 11000000 , sigma = 0:8001543717994501796 , 2018.07.26 , found by yoyo@home

937 : c 893 = 829044297281482845905510544752736064447147 * c 852

B1 = 43000000 , sigma = 0:17347482564892651207 , 2018.08.16 , found by yoyo@home

941 : c 889 = 2416277668973171349313713089855425966192452863373961 * c 837

B1 = 43000000 , sigma = 0:8598628182170899200 , 2018.08.16 , found by yoyo@home

5860L : c1155 = 2837267642075799218843167929960912181 * c1118

B1 = 11000000 , sigma = 0:4074972538232797766 , 2018.08.24 , found by yoyo@home

2000 : c 748 = 2918934658137053157142763595766996896001 * c 709

B1 = 80000000 , sigma = 1:422066992 , 2018.08.25 , found by Alfred Reich

947 : c 899 = 48654367388531252592760353317455806428703907 * c 855

B1 = 43000000 , sigma = 0:3047487473098335725 , 2018.09.05 , found by yoyo@home

1225 : c 837 = 148034167812084215700206443550170966001 * c 798

B1 = 43000000 , sigma = 0:671077335727112008 , 2018.09.15 , found by yoyo@home

5900M : c1139 = 593243597135622945022444401922545308692618865123732027101 * c1083

B1 = 11000000 , sigma = 0:12823567598948732363 , 2018.09.17 , found by yoyo@home

1202 : c 525 = 12319072731805329005802468132076248505842564849805129 * c 473

B1 = 110000000 , sigma = 0:14036092255227619769 , 2018.09.18 , found by yoyo@home

463 : c 447 = 212135711098934921098108241314382773839707263659206851643 * c 391

B1 = 260000000 , sigma = 0:18442255449381683540 , 2018.09.19 , found by yoyo@home

447 : c 242 = 171965701068496883745528184125987011516361211819168507125947606393599406276344599684907 * P 156

SNFS , 2018.11.18 , found by Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche and Kurt Beschorner

953 : c 942 = 601571969724357908830782907588971858878664579169 * c 895

B1 = 43000000 , sigma = 0:2441301558609603979 , 2018.11.23 , found by yoyo@home

521 : c 505 = 491580859282283461621997489642141402831898607368043 * c 455

B1 = 110000000 , sigma = 0:7248104013312129170 , 2018.12.06 , found by yoyo@home

955 : c 721 = 4611631116936866644619325113494274068514558656631 * c 673

B1 = 43000000 , sigma = 0:4773587962081043371 , 2018.12.06 , found by yoyo@home

2708 : c1297 = 1354592090378874321847140113114629 * c1264

B1 = 110000000 , sigma = 12297352491712952550 , 2018.12.11 , found by Alfred Reich

959 : c 774 = 39479260483646804613228566945758015357951 * c 733

B1 = 43000000 , sigma = 0:18072187453986147935 , 2018.12.14 , found by yoyo@home

541 : c 526 = 49209783772401428869185936838646522086059329 * P 482

B1 = 110000000 , sigma = 0:18331671264619453476 , 2018.12.15 , found by yoyo@home

705 : c 279 = 39684295305390393945033155364640501778802903740578801 * P 227

B1 = 260000000 , sigma = 0:4005087120915227197 , 2018.12.15 , found by yoyo@home

675 : c 271 = 11302625411464361797455477156321087241022971504311406801 * c 216

B1 = 850000000 , sigma = 0:5866504219856597377 , 2018.12.25 , found by yoyo@home

735 : c 279 = 1043724088777138410374757855271037976569452410073591 * c 228

B1 = 260000000 , sigma = 0:17739413172727101663 , 2018.12.26 , found by yoyo@home

1355 : c1033 = 64798931224892046095300386296961245938921 * c 992

B1 = 11000000 , sigma = 0:12395092201359388656 , 2019.01.05 , found by yoyo@home

2580L : c 316 = 40577891868500992650677399803808454657267203875748156761 * c 260

B1 = 260000000 , sigma = 0:2155320441625669934 , 2019.01.13 , found by yoyo@home

6380L : c1088 = 2745820043425052285732308383257413452721 * c1048

B1 = 11000000 , sigma = 1168867487 , 2019.01.27 , found by Kurt Beschorner

6100L : c1144 = 69091807550221647412700483018565101 * c1110

B1 = 11000000 , sigma = 0:373158171685814716 , 2019.02.25 , found by yoyo@home

6100L : c1110 = 17729642323320850278883616474935850401 * c1072

B1 = 11000000 , sigma = 0:12691948414942556416 , 2019.02.24 , found by yoyo@home

5742 : c1677 = 1808861312313765194718694286223289 * 26694412701645812093609827243540778173 * c1606

2019.03.02 , found by Alfred Reich

622 : c 223 = 972257004001983078662961403513565995843134142539444914120798476327

* 6233584499738299340076596109269276052417987101388073691610569618213

* P 90

SNFS , 2019.03.13 , found by NFS@Home

8148 : c2260 = 23888331928755038568489169001705089 * c2226

3123 : c2070 = 49295447401007236002837366533239 * c2039

2019.03.22 , found by Alfred Reich

3095 : c2395 = 90443865354658473015839587544568391 * c2360

2019.03.26 , found by Alfred Reich

2248 : c1114 = 1125096610491026258717069231764777 * c1081

2019.04.02 , found by Alfred Reich

2608 : c1285 = 2711533575490636312104255710201930401 * c1249

2019.04.04 , found by Alfred Reich

6138 : c1790 = 4649700678223371354013752098032052413 * c1753

2019.04.06 , found by Alfred Reich

6168 : c2025 = 789623604692467568415491118469360633 * c1989

2019.04.06 , found by Alfred Reich

6188 : c2276 = 5781822105649878089905469839201 * c2245

2019.04.06 , found by Alfred Reich

3453 : c2267 = 60061366931002116328324273314045799654573339003 * c2220

2019.04.08 , found by Alfred Reich

563 : c 545 = 601193188650614249069704703228803510540758119 * c 500

B1 = 110000000 , sigma = 0:16222137679668624593 , 2019.04.11 , found by yoyo@home

7540L : c1337 = 92908918613191880421357495998041 * c1305

2019.04.13 , found by Alfred Reich

8060M : c1400 = 9563613411880480653886428115541468801 * P1363

2019.04.14 , found by Alfred Reich

8420M : c1666 = 961793978153247229732651534445101 * c1633

2019.04.14 , found by Alfred Reich

973 : c 824 = 3715631189441610182664346038535448639 * P 787

B1 = 43000000 , sigma = 0:1221013246906637789 , 2019.05.01 , found by yoyo@home

8220L : c1074 = 6097790664173896352923803646734195061 * c1037

B1 = 11000000 , sigma = 2907575830 , 2019.05.14 , found by Kurt Beschorner

6140L : c1196 = 13250162724903585950689727396593851617218121 * c1153

B1 = 11000000 , sigma = 1403731729 , 2019.05.16 , found by Kurt Beschorner

3375 : c1774 = 9928227087054120839404714671321001 * c1740

2019.06.11 , found by Alfred Reich

4005 : c2113 = 1867328658390232232662140183278161 * c2079

2019.06.11 , found by Alfred Reich

3369 : c2244 = 4087010404483958534982337738286521 * c2211

2019.06.11 , found by Alfred Reich

2029 : c1900 = 245013714487726159144720326081715348604363 * c1859

B1=11000000, sigma=0:12332245062534318460 , 2019.07.03 , found by Bo Chen

1980M : c 187= 1894480662587906626213719003472037744324031299064496778010791034044578628744590947201792481 * P 97

GNFS , 2019.07.07 , found by Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche and Kurt Beschorner

8220L : c1037 = 45590288211884086268396615267733422521 * c 999

B1 = 11000000 , sigma = 0:17790716536559808641 , 2019.07.10 , found by yoyo@home

507 : c 200 = 1383906125377990823745051521665361287866249997770983367680122139350699914609150997586781841 * P 110

GNFS , 2019.07.24 , found by Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche and Kurt Beschorner

676 * c 308 = 7249657507840161826942418511086116063748219199832125768043099150081

* 232372119876907280822321391951168183308631299658430083807589307649464986270410218850191981

* P 151

SNFS , 2019.07.28 , found by NFS@home

728 * c 267 = 146922836547557380904624883811070801579636649582426027039761

* 1236386443286416000845205982296310762602996796920706630693450425385353425494707969

* P 127

SNFS , 2019.07.29 , found by NFS@home

2380M : c 347 = 55722909386297024938297392343519300689842174503366122181 * P 292

B1 = 260000000 , sigma = 0:2377822517027304999 , 2019.08.06 , found by yoyo@home

8940M : c1094 = 2647733864525435357868825323065594021 * c1057

B1 = 11000000 , sigma = 2165451346 , 2019.09.28 , found by Kurt Beschorner

1420M : c 274 = 101956533794009284800765131459172391943780858147641273764890861 * c 212

found by ECMNET , 2019.10.03

1417 : c1208 = 55931448966246130071538810222836707 * c1173

B1 = 11000000 , sigma = 3780116918 , 2019.10.14 , found by Kurt Beschorner

1357 : c1268 = 800551567150597779248843185551955662432161 * c1227

B1 = 11000000 , sigma = 0:13842388622860530632 , 2019.10.16 , found by yoyo@home

626 : c 230 = 589855742530873303648997100606906463934277315614405401704255573694516882878454393085805024793769310885400567 * P 122

SNFS , 2019.10.13 , found by NFS@home

2580L : c 260 = 3209681398615442534074101309775547494759396015886801499169945861 * P 197

B1 = 850000000 , sigma = 0:1524063036262106663 , 2020.02.14 , found by yoyo@home

337 : c 268 = 906533749251005245151122204670351312590267105760052002862150546121 * c 202

2020.02.21 , found by Sam Wagstaff

1233 : c 803 = 82953452943096961359732993332153506983079 * c 762

B1 = 43000000 , sigma = 0:10297922851821278427 , 2020.02.23 , found by yoyo@home

1233 : c 762 = 2071133703625587214227323104568507030381670852043 * c 714

B1 = 43000000 , sigma = 0:12155937095413581933 , 2020.05.19 , found by yoyo@home

459 : c 221 = 287743709071765679519005572592282086727787894852332081977696568112925297043603 * P 143

SNFS , 2020.07.24 , found by Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche and Kurt Beschorner

7980L : c 840 = 7852530157762803085617492355913151301 * c 803

B1 = 43000000 , sigma = 0:6858431455024526459 , 2020.09.23 , found by yoyo@home

6580M : c1072 = 5226300854932192952818901175186968159161 * c1032

B1 = 11000000 , sigma = 0:6986030302957500225 , 2020.09.27 , found by yoyo@home

469 : c 396 = 6958997628875965569003769582314963273475677604340583053 * c 342

B1 = 210596123-260000000 , 2020.10.04 , found by yoyo@home

742 : c 235 = 2548171182130492354464113595833821781588064140986874348075459263402328971040215243200625902015381883224397137647 * P 124

SNFS , 2020.10.21 , found by NFS@home

371 : c 255 = 8443278213142643683880850952929502264137832292889910297487445526484776400899484558952278931894560501953983650020256591767199 * c 131

SNFS , 2020.11.08 , found by NFS@home

625 : c 501 = 2782057126261476352728985117193142348250001 * c 458

B1 = 110000000 , sigma = 3811420836399633 , 2020.12.13 , found by Alfred Eichhorn

469 : c 342 = 316237267349250204445544982727458065652184756181185770847813 * c 282

B1 = 260000000 , sigma = 0:16910116206833045390 , 2021.01.12 , found by yoyo@home

519 : c 297 = 25175590297709339047755994593944705119042514299940364907 * P 241

B1 = 850000000 , sigma = 0:15265866885997281733 , 2021.01.26 , found by yoyo@home

337 : c 202 = 10040499610458011332733838420983746051698922310460547466000255532841658478393221611341226016666610043 * P 102

GNFS , 2021.01.30 , found by Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche and Kurt Beschornor

2231 : c2002 = 127269517286008733272752480463187 * c1970

B1 = 11000000 , sigma = 0:2945844318283144 , 2021.03.24 , found by Kurt Beschornor

1285 : c 971 = 16125873110496868884553362758627283290407985434481 * P 922

B1 = 43000000 , sigma = 0:8766000215669500 , 2021.04.12 , found by Kurt Beschornor

485 : c 305 = 3905050584750719584997916596589271839372757118110949321 * c 251

B1 = 260000000 , sigma = 0:13910476698621796582 , 2021.04.23 , found by yoyo@home

11220M : c1267 = 16930380233308606707892880902447984978624096501 * c1220

B1 = 43000000 , sigma = 0:863078287696667 , 2021.05.07 , found by Kurt Beschornor

7500L : c 932 = 48207545174782975493383750875127027725001 * c 891
B1 = 43000000 , sigma = 0:7630000256316624 , 2021.06.02 , found by Kurt Beschorner
5700M : c 711 = 214098531848960682375313931062057408227354489641401 * c 660
B1 = 43000000 , sigma = 0:1218120574389352 , 2021.06.09 , found by Kurt Beschorner
10180M : c2000 = 618469348886528986386736868045981 * P1967
B1 = 11000000 , sigma = 0:138044562091769 , 2021.06.11 , found by Kurt Beschorner
1740M : c 204 = 38500497070688096027556817882565728990416892548263819672284096593431517949011701136219584563960572421 * P 103
GNFS , 2021.06.27 , found by Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche and Kurt Beschorner
1269 : c 814 = 541520087299201982040396188910708534378319 * c 773
B1 = 43000000 , sigma = 0:932524933627175 , 2021.07.11 , found by Kurt Beschorner

1008 : c 249 = 11824792503914776383865492901019100670460517256833712771719617457 *P 185

SNFS , 2021.08.23 , found by Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche and Kurt Beschorner

From me :

(My search range is R802..R998 and R1620L..R1980M)

816 : c 242 = 3178246571075235723080972275640135632212436318968968029466533249264048115754831736073020454216579035062833710671458881 * P 125

SNFS , 2020.04.05

1620L : c 185 = 216228542818328308783433809596084627890392881018159564738348653328755727601 * P 110

SNFS , 2021.05.15

834 : c 205 = 84191134295847459088496323909951690425296390505413654926185730285872463 * P 134

SNFS , 2021.07.28

890 : c 255 = 630859966703635424146382843107732835487998079409968772589281 * c 195

B1 = 300000000 , sigma = 2:7216577815049336811 , 2021.08.30

846 : c 249 = 8147270298945964118744634040617462692098679807835492529 * P 194

SNFS , 2021.10.18

Currently GNFS on R890 . After that R852 and R990 .

and doing ecm my search range (R802-R998 and R1620L-R1980M).