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Repunit100-20190731.pdf

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セル1	セル２

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 :

3580M : c 694 = 5405154679453439736564215753259035387646069983401 * c 645
B1 = 43000000 , sigma = 1:3738343012 , 2017.01.15 , found by yoyo@home
1177 : c 950 = 9948520184173999048162412672041617521453 * c 910
B1 = 43000000 , sigma = 1:369386076 , 2017.01.15 , found by yoyo@home
1177 : c 910 = 6359360365417756994923166837207234903703751 * c 867
B1 = 43000000 , sigma = 1:3185349667 , 2017.01.15 , found by yoyo@home
   604 : c 289 = 188981422179250214477885038956646476812007525220846625175628245017547495717341304519447280552146559165713534073382085460954497219653965265520569 * P 146
SNFS , 2017.03.16 , found by NFS@home
1174 : c 560 = 2362816652618921835221783244380759723147543115253 * c 511
B1 = 110000000 , sigma = 1:3736643485 , 2017.04.15 , found by yoyo@home
   608 : c 282 = 57060943016570586495482365104744705358198487226448999934446131233808207036744145484562761542433 * P 187
SNFS , 2017.04.21 , found by NFS@home
   839 : c 797 = 4228488005350493568025042754591087184669613 * c 755
B1 = 43000000 , sigma = 1:3622605400 , 2017.04.23 , found by yoyo@home
2700M : c 197 = 71618803865606542412383896587352242997259054038820075447553395780556284501401142201 * P 114
GNFS , 2017.05.07 , found by Bo Chen, Wenjie Fang, Alfred Reich , Alfred Eichhorn, Maksym Voznyy and Kurt Beschorner
1460L : c 249 = 430290068517717503314541569581514324311872414409341453561896330801 * P 183
ECM B1 = 850000000 , sigma = 1:3948033333 , 2017.05.14 , found by yoyo@home
1800 : c 443 = 1216057084775405433757097429262954022602494154001 * c 395
B1 = 13544018 , sigma = 1:453572236 , 2017.05.20 , found by Serge Batalov
1664 : c 716 = 33705988330014732169259712855760222337 * c 678
B1 = 13544018 , sigma = 1:453572236 , 2017.05.20 , found by Serge Batalov
1174 : c 511 = 552767636859084183383203313197359593414627006389177727 * c 457
B1 = 110000000 , sigma = 1:2037690254 , 2017.05.25 , found by yoyo@home
1231 : c1226 = 1520806406498630620751479153475405302799387 * c1184
B1 = 11000000 , sigma = 0:6903520683874638056 , 2017.05.27 , found by yoyo@home
   853 : c 743 = 16142416787665692305826190665900875338773361 * c 700
B1 = 43000000 , sigma = 1:1396378601 , 2017.06.07 , found by yoyo@home
   833 : c 626 = 3432940252618824434327096124443716640606301456841302413201 * c 569
B1 = 110000000 , sigma = 0:16155500098072674487 , 2017.07.31 , found by yoyo@home
2180L : c 408 = 7152063279176360267550161080960805856216521 * P 365
B1 = 260000000 , sigma=0:9003880645049902030 , 2017.09.26 , found by Deltik
   407 : c 276 = 5944944413111812771074601841233247644294218555674708828050801 * c 216
B1 = 260000000 , sigma = 17148592561077535369 , 2017.10.09 , found by yoyo@home
7700M : c1175 = 38041784784146774130170998462735601 * c1140
B1 = 1200000 , sigma = 1:337140686 , 2017.10.14 , found by Alfred Reich
4340L : c 621 = 952846312570007577050723081040768241 * c 585
B1 = 2000000 , sigma = 1:1381967755 , 2017.10.14 , found by Alfred Reich
4700L : c 920 = 780599108882572060886313194155724085701 * c 882
B1 = 2000000 , sigma = 1:3828270230 , 2017.10.14 , found by Alfred Reich
8940M : c1130 = 5275415368338873197815559526085771801 * c1094
B1 = 1350000 , sigma = 1:1113189447 , 2017.10.14 , found by Alfred Reich
9220M : c1831 = 116887569046811596896977743981921 * c1799
B1 = 1250000 , sigma = 1:2773280274 , 2017.10.14 , found by Alfred Reich
6420M : c 828 = 635390420419704778459322819229975601 * c 792
B1 = 2000000 , sigma = 1:4033305829 , 2017.10.15 , found by Alfred Reich
7740L : c 981 = 112861408046196922060728644228472765841 * c 943
B1 = 2000000 , sigma = 1:783881686 , 2017.10.15 , found by Alfred Reich
3390 : c 870= 302841383970711301680945052526521 * c 837
B1 = 1000000 , sigma = 1:1509310649 , 2017.10.17 , found by Alfred Reich
6020M : c 996 = 377659045698120991814418877959941381 * c 960
B1 = 28000000 , sigma = 1:612335155 , 2017.11.03 , found by Alfred Reich
1186 : c 592 = 2909076542620598524499532435958736860811671130747534094532375046661903161 * P 520
B1 = 110000000 , sigma = 0:16299314430696221325 , 2017.11.07 , found by yoyo@home

1197 : c 625 = 127299829734328501871992084225690229563 * c 587

B1 = 110000000 , sigma = 0:13789025679953582860 , 2017.12.24 , found by yoyo@home

1197 : c 587 = 22005900343041974560744274934676975393449397 * c 543

B1 = 110000000 , sigma = 0:14260221117156359926 , 2017.12.24 , found by yoyo@home

5780M : c1032 = 566172533277589638952637358217083696315144309601 * c 985

B1 = 11000000 , sigma = 0:8915823689914353778 , 2017.12.25 , found by yoyo@home

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

From me :

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

878 : c 415 = 2515873088287897454782011891518911571754342290096763019 * c 361
B1 = 120000000 , sigma = 2:168411160075480502 , 2017.06.16
976 : c 404 = 1333621378380781329750868926173511152429445865079521 * P 352
B1 = 120000000 , sigma = 2:17156338585742940671 , 2017.08.01

　982 : c 445 = 44467075182005846868530065551693426652606026434296940573 * c 390

B1 = 120000000 , sigma =2:5690539589092232789 , 2018.02.15

Currently started SNFS for R816, and doing ecm my search range .