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Factorizations of 199...99

Table of contents

  1. About 199...99
  2. Prime numbers of the form 199...99
  3. Factorizations of 199...99
  4. References

1. About 199...99

First ten terms

19, 199, 1999, 19999, 199999, 1999999, 19999999, 199999999, 1999999999, 19999999999

General term

2·10n-1

Related tables

2. Prime numbers of the form 199...99

Last update

Jan 18, 2009

Searched up to

n≤10000

Difficulty of search

27.85%

Results

  1. 2·101-1 = 19 is prime.
  2. 2·102-1 = 199 is prime.
  3. 2·103-1 = 1999 is prime.
  4. 2·105-1 = 199999 is prime.
  5. 2·107-1 = 19999999 is prime.
  6. 2·1026-1 = 1(9)26<27> is prime.
  7. 2·1027-1 = 1(9)27<28> is prime.
  8. 2·1053-1 = 1(9)53<54> is prime.
  9. 2·10147-1 = 1(9)147<148> is prime.
  10. 2·10236-1 = 1(9)236<237> is prime.
  11. 2·10248-1 = 1(9)248<249> is prime.
  12. 2·10386-1 = 1(9)386<387> is prime.
  13. 2·10401-1 = 1(9)401<402> is prime.
  14. 2·10546-1 = 1(9)546<547> is prime.
  15. 2·10785-1 = 1(9)785<786> is prime.
  16. 2·101325-1 = 1(9)1325<1326> is prime.
  17. 2·101755-1 = 1(9)1755<1756> is prime.
  18. 2·102906-1 = 1(9)2906<2907> is prime. (Hugh C. Williams / 1985)
  19. 2·103020-1 = 1(9)3020<3021> is prime. (Hugh C. Williams / 1985)
  20. 2·105407-1 = 1(9)5407<5408> is prime. (Harvey Dubner / Dubner Cruncher / Oct 1, 1994)
  21. 2·105697-1 = 1(9)5697<5698> is prime. (Harvey Dubner / Dubner Cruncher / Oct 1, 1994)
  22. 2·105969-1 = 1(9)5969<5970> is prime. (Harvey Dubner / Dubner Cruncher / Oct 1, 1994)
  23. 2·107517-1 = 1(9)7517<7518> is prime. (Harvey Dubner / Dubner Cruncher / 1993)
  24. 2·1015749-1 = 1(9)15749<15750> is prime. (Harvey Dubner / Dubner Cruncher / Jun 16, 1999)
  25. 2·1019233-1 = 1(9)19233<19234> is prime. (Roland Clarkson / Yves Gallot's Proth.exe / Sep 21, 2000)
  26. 2·1038232-1 = 1(9)38232<38233> is prime. (Eric J. Sorensen / Yves Gallot's Proth.exe / Sep 3, 2001)
  27. 2·1055347-1 = 1(9)55347<55348> is prime. (Eric J. Sorensen / Yves Gallot's Proth.exe / Jul 18, 2002)

3. Factorizations of 199...99

Last update

Nov 8, 2009

Completed up to

Range

n≤250

Terms which have not been factored yet

n=195, 196, 197, 200, 202, 203, 205, 206, 208, 209, 214, 215, 218, 221, 223, 224, 226, 227, 228, 229, 230, 233, 234, 235, 237, 238, 239, 240, 241, 244, 246 (31/250)

Results

2·101-1 =
19
= definitely prime number
2·102-1 =
199
= definitely prime number
2·103-1 =
1999
= definitely prime number
2·104-1 =
19999
= 7 · 2857
2·105-1 =
199999
= definitely prime number
2·106-1 =
1999999
= 17 · 71 · 1657
2·107-1 =
19999999
= definitely prime number
2·108-1 =
199999999
= 89 · 1447 · 1553
2·109-1 =
1999999999<10>
= 31 · 64516129
2·1010-1 =
19999999999<11>
= 7 · 97 · 193 · 152617
2·1011-1 =
199999999999<12>
= 251 · 1831 · 435179
2·1012-1 =
1999999999999<13>
= 3833 · 521784503
2·1013-1 =
19999999999999<14>
= 61 · 21031 · 15589789
2·1014-1 =
199999999999999<15>
= 23 · 8695652173913<13>
2·1015-1 =
1999999999999999<16>
= 109 · 18348623853211<14>
2·1016-1 =
19999999999999999<17>
= 7 · 47 · 281081 · 216273151
2·1017-1 =
199999999999999999<18>
= 29 · 599 · 31139 · 369743471
2·1018-1 =
1999999999999999999<19>
= 432809599 · 4620969601<10>
2·1019-1 =
19999999999999999999<20>
= 19 · 110394419 · 9535188359<10>
2·1020-1 =
199999999999999999999<21>
= 82647847 · 2419905747817<13>
2·1021-1 =
1999999999999999999999<22>
= 1023039389<10> · 1954958940491<13>
2·1022-1 =
19999999999999999999999<23>
= 7 · 17 · 168067226890756302521<21>
2·1023-1 =
199999999999999999999999<24>
= 1042402171<10> · 191864527496269<15>
2·1024-1 =
1999999999999999999999999<25>
= 31 · 601 · 75991441 · 1412632357369<13>
2·1025-1 =
19999999999999999999999999<26>
= 2129 · 13421 · 127241 · 5501009364371<13>
2·1026-1 =
199999999999999999999999999<27>
= definitely prime number
2·1027-1 =
1999999999999999999999999999<28>
= definitely prime number
2·1028-1 =
19999999999999999999999999999<29>
= 7 · 2441 · 3673 · 536441 · 594047653107889<15>
2·1029-1 =
199999999999999999999999999999<30>
= 73571 · 783988798759<12> · 3467476119491<13>
2·1030-1 =
1999999999999999999999999999999<31>
= 77513 · 25802123514765265181324423<26>
2·1031-1 =
19999999999999999999999999999999<32>
= 149 · 3371 · 11251 · 3050246411<10> · 1160269631321<13>
2·1032-1 =
199999999999999999999999999999999<33>
= 233 · 337 · 1609 · 71527 · 1752732671<10> · 12627065623<11>
2·1033-1 =
1999999999999999999999999999999999<34>
= 59 · 479 · 70768904143519337603057216659<29>
2·1034-1 =
19999999999999999999999999999999999<35>
= 7 · 2857142857142857142857142857142857<34>
2·1035-1 =
199999999999999999999999999999999999<36>
= 15139 · 39359 · 37071341 · 9054207739320799639<19>
2·1036-1 =
1999999999999999999999999999999999999<37>
= 23 · 127 · 6151 · 69447808883207<14> · 1602854731722967<16>
2·1037-1 =
19999999999999999999999999999999999999<38>
= 19 · 55631 · 11222041 · 123838721 · 13615425524177731<17>
2·1038-1 =
199999999999999999999999999999999999999<39>
= 17 · 313 · 37586919751926329637286224393910919<35>
2·1039-1 =
1999999999999999999999999999999999999999<40>
= 31 · 64516129032258064516129032258064516129<38>
2·1040-1 =
19999999999999999999999999999999999999999<41>
= 73 · 151 · 911 · 461656937321<12> · 918165954776278710553<21>
2·1041-1 =
199999999999999999999999999999999999999999<42>
= 71 · 3209 · 218670799 · 4014312132842477314284979759<28>
2·1042-1 =
1999999999999999999999999999999999999999999<43>
= 8722673 · 1613620812708167<16> · 142095039505177227289<21>
2·1043-1 =
19999999999999999999999999999999999999999999<44>
= 14188750452331121<17> · 1409567394055769572492644719<28>
2·1044-1 =
199999999999999999999999999999999999999999999<45>
= 191 · 367 · 487 · 1193 · 799792657 · 9702575167<10> · 632844093134623<15>
2·1045-1 =
1999999999999999999999999999999999999999999999<46>
= 29 · 5639 · 496833131 · 4030140119<10> · 6108002533693456695361<22>
2·1046-1 =
19999999999999999999999999999999999999999999999<47>
= 7 · 8862577 · 1372013570237203199<19> · 234970600783390805159<21>
2·1047-1 =
199999999999999999999999999999999999999999999999<48>
= 131 · 181 · 39955089541<11> · 211109616525086721812252364759149<33>
2·1048-1 =
1999999999999999999999999999999999999999999999999<49>
= 2671 · 5879 · 10159 · 35184223258595449<17> · 356331092452560202721<21>
2·1049-1 =
19999999999999999999999999999999999999999999999999<50>
= 1259 · 2539 · 46320316841<11> · 1164438729401<13> · 115998774646597401239<21>
2·1050-1 =
199999999999999999999999999999999999999999999999999<51>
= 5830990703831<13> · 34299488741869997945614291216474011929<38>
2·1051-1 =
1999999999999999999999999999999999999999999999999999<52>
= 242491 · 1442849 · 5716279930669628639686312159912662372461<40>
2·1052-1 =
19999999999999999999999999999999999999999999999999999<53>
= 7 · 89 · 265105242719<12> · 121094280907789168180922247062764590127<39>
2·1053-1 =
199999999999999999999999999999999999999999999999999999<54>
= definitely prime number
2·1054-1 =
1999999999999999999999999999999999999999999999999999999<55>
= 17 · 31 · 6271 · 62702211983<11> · 9651608955277596810279846533429791009<37>
2·1055-1 =
19999999999999999999999999999999999999999999999999999999<56>
= 19 · 3769 · 289099 · 966059037781851620509711964214025433791507591<45>
2·1056-1 =
199999999999999999999999999999999999999999999999999999999<57>
= 2063 · 82421359754551<14> · 1176226589206430376979832613058926559223<40>
2·1057-1 =
1999999999999999999999999999999999999999999999999999999999<58>
= 8069 · 11399 · 21744204634013996157429389690948641047550541984629<50>
2·1058-1 =
19999999999999999999999999999999999999999999999999999999999<59>
= 7 · 23 · 3160024442975017<16> · 39310962534049663193199913018639770440327<41>
2·1059-1 =
199999999999999999999999999999999999999999999999999999999999<60>
= 136541 · 3253850111311<13> · 8440450795922006821<19> · 53333947698860662675169<23>
2·1060-1 =
1999999999999999999999999999999999999999999999999999999999999<61>
= 113 · 33865129 · 50444908681<11> · 177392212820479<15> · 58404582869837934023118113<26>
2·1061-1 =
19999999999999999999999999999999999999999999999999999999999999<62>
= 251 · 34215721 · 747704799966603649<18> · 3114586591265797592737180752552581<34>
2·1062-1 =
199999999999999999999999999999999999999999999999999999999999999<63>
= 47 · 504034073 · 1220285033049641423<19> · 6918484257964090228128626296689623<34>
2·1063-1 =
1999999999999999999999999999999999999999999999999999999999999999<64>
= 63131399 · 31679956910189809036229341282299161467972537722473091401<56>
2·1064-1 =
19999999999999999999999999999999999999999999999999999999999999999<65>
= 7 · 179057 · 673639 · 23687183764533030482444354714936509818804335751543359<53>
2·1065-1 =
199999999999999999999999999999999999999999999999999999999999999999<66>
= 57416791 · 5685045319<10> · 612713075321401087046458038954535213178204467231<48>
2·1066-1 =
1999999999999999999999999999999999999999999999999999999999999999999<67>
= 114208550488870843707673320090031<33> · 17511823689548461809824420102206129<35>
2·1067-1 =
19999999999999999999999999999999999999999999999999999999999999999999<68>
= 11351 · 2779351 · 2757356547351191<16> · 229910892853430932296715347004611670569289<42>
2·1068-1 =
199999999999999999999999999999999999999999999999999999999999999999999<69>
= 743 · 720744137 · 68629286397718712091266647<26> · 5441900295212874899182199873287<31>
2·1069-1 =
1999999999999999999999999999999999999999999999999999999999999999999999<70>
= 31 · 439 · 212039 · 35458744861<11> · 2626410054718091<16> · 7442213814490672036679386751621599<34>
2·1070-1 =
19999999999999999999999999999999999999999999999999999999999999999999999<71>
= 7 · 17 · 431 · 3761 · 42743 · 114889 · 21113439137145151982518690557051200255934635601139753<53>
2·1071-1 =
199999999999999999999999999999999999999999999999999999999999999999999999<72>
= 311 · 49801 · 812126836567325311<18> · 15900386507052020800133836615165276113430575119<47>
2·1072-1 =
1999999999999999999999999999999999999999999999999999999999999999999999999<73>
= 10337 · 1539265796448195743859457<25> · 125696116580006172197631576931601768549558111<45>
2·1073-1 =
19999999999999999999999999999999999999999999999999999999999999999999999999<74>
= 19 · 29 · 61 · 100236345329109106048850820884161<33> · 5936402484004975288098822472966741469<37>
2·1074-1 =
199999999999999999999999999999999999999999999999999999999999999999999999999<75>
= 128375657 · 1557927761958795661703994239343990270678809456842740832087815527207<67>
2·1075-1 =
1999999999999999999999999999999999999999999999999999999999999999999999999999<76>
= 1468399 · 9773656519171<13> · 7233357124959028127639<22> · 19265883761065596281172138321530429<35>
2·1076-1 =
19999999999999999999999999999999999999999999999999999999999999999999999999999<77>
= 7 · 71 · 3449 · 4847041 · 18395633 · 130854596492286412438405476816657478703173293235697757911<57>
2·1077-1 =
199999999999999999999999999999999999999999999999999999999999999999999999999999<78>
= 3296551 · 180273339366603915157042541456190941<36> · 336541551884960929475454162660123389<36>
2·1078-1 =
1999999999999999999999999999999999999999999999999999999999999999999999999999999<79>
= 127 · 359 · 46271 · 948031877361413200744641307998671084939526110708897790110817166822633<69>
2·1079-1 =
19999999999999999999999999999999999999999999999999999999999999999999999999999999<80>
= 569 · 35149384885764499121265377855887521968365553602811950790861159929701230228471<77>
2·1080-1 =
199999999999999999999999999999999999999999999999999999999999999999999999999999999<81>
= 23 · 167 · 53831 · 967282300096325356931642416182002212551860417333658191869546350550040969<72>
2·1081-1 =
1999999999999999999999999999999999999999999999999999999999999999999999999999999999<82>
= 2108272811<10> · 948643832792851968340448327301413934517604515082844276171808962345907709<72>
2·1082-1 =
19999999999999999999999999999999999999999999999999999999999999999999999999999999999<83>
= 72 · 4519 · 91904895863405227344778390349737714039<38> · 982772344963126877180586765965485256911<39>
2·1083-1 =
199999999999999999999999999999999999999999999999999999999999999999999999999999999999<84>
= 6513641919379205078817101<25> · 30704788883921543079717165000137354872639579175495937407099<59>
2·1084-1 =
1999999999999999999999999999999999999999999999999999999999999999999999999999999999999<85>
= 31 · 5279 · 2777773327500151246091548687369<31> · 4399667297165328486109956191774908451162855011079<49>
2·1085-1 =
19999999999999999999999999999999999999999999999999999999999999999999999999999999999999<86>
= 3221 · 3559 · 8609 · 32017949 · 3150065531<10> · 2009303209580006097231729520903062138499743525512613270571<58>
2·1086-1 =
199999999999999999999999999999999999999999999999999999999999999999999999999999999999999<87>
= 17 · 181080943 · 251205089 · 948078166247963353<18> · 272794586998137561888016756471696403803458600092137<51>
2·1087-1 =
1999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<88>
= 921931 · 450550616424617211226759254709757392949<39> · 4814907952466029143993425793168884042462921<43>
2·1088-1 =
19999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<89>
= 7 · 6436743191<10> · 443880200337614672260915257189551147164470252848224458992113121441892420973727<78>
2·1089-1 =
199999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<90>
= 44631941 · 1933104657299<13> · 2318082317880034624227670197644714374137252517098838392013073847972961<70>
2·1090-1 =
1999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<91>
= 80167993 · 4929387429353<13> · 5060996433095582084426587425815186568202349049458676369614394590046431<70>
2·1091-1 =
19999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<92>
= 192 · 59 · 2392009 · 277008180319054489<18> · 1417148555239242589493953615337812898464524297144004015596172901<64>
2·1092-1 =
199999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<93>
= 17959 · 93725918953<11> · 118819614217291384918987207691847487670858136634284548153181194724631410443137<78>
2·1093-1 =
1999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<94>
= 3271 · 195271 · 3510809 · 188511887280438155140061<24> · 4731139534950256209818001722774195895013399032810281011<55>
2·1094-1 =
19999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<95>
= 7 · 35105979704639<14> · 81386216285122117970986616615500698542756666511802516848971201948267512301305463<80>
2·1095-1 =
199999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<96>
= 3489506136409<13> · 1300129261094015351<19> · 44083848023961543456909075367830478670129039588228131584939384161<65>
2·1096-1 =
1999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<97>
= 89 · 6308297 · 20833138324174178606300119<26> · 1063589346407609366536943849663<31> · 160767841543596929071753957211399<33>
2·1097-1 =
19999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<98>
= 9046841 · 70490471 · 1895717321<10> · 1798944871369504725121<22> · 9196258973996581459861670806010127798180137991647849<52>
2·1098-1 =
199999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<99>
= 631 · 3617 · 327597071560393<15> · 2611076388342167<16> · 65900319199437532470998302369<29> · 1554551166870405208151291923028983<34>
2·1099-1 =
1999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<100>
= 31 · 2478018041<10> · 31432234741<11> · 388140989339<12> · 2134022874173671561245124315872113656324653675736472637270988672831<67>
2·10100-1 =
1(9)100<101>
= 7 · 177127 · 8330999 · 6901128649<10> · 3286723567201<13> · 85362436740497267761077074834813442709379486887811387639018981441<65>
2·10101-1 =
1(9)101<102>
= 29 · 199 · 38699 · 429889 · 6743968248359<13> · 14788707227523176951956429<26> · 20887050552140849265065287732960465588673292637589<50>
2·10102-1 =
1(9)102<103>
= 17 · 23 · 9815219231716313<16> · 4294644227406457937<19> · 121346161107148719947481128979092586902298579384881960317202311969<66>
2·10103-1 =
1(9)103<104>
= 2371 · 52121 · 17860533770510789<17> · 9061315838249284839230431449032937631731673431289424282378423055101150833155001<79>
2·10104-1 =
1(9)104<105>
= 1303 · 71011247 · 566415155891210886867230610377<30> · 3816133640761471827501849984755061159520992920755373571951487807<64>
2·10105-1 =
1(9)105<106>
= 179 · 1946778557392743509<19> · 72730962098229789779<20> · 78911641588436255085236273256281696186149357416443127576789651371<65>
2·10106-1 =
1(9)106<107>
= 7 · 97 · 263 · 17881 · 116783220530087<15> · 8021287689120119<16> · 11820859413554627801<20> · 565638649816888769162746135608453549230787088159<48>
2·10107-1 =
1(9)107<108>
= 409 · 488997555012224938875305623471882640586797066014669926650366748166259168704156479217603911980440097799511<105>
2·10108-1 =
1(9)108<109>
= 47 · 15289 · 73592101706551199<17> · 1107361514270525062886494609<28> · 34153280519193239456615876347476578405728210716399805244983<59>
2·10109-1 =
1(9)109<110>
= 19 · 21114980841716492601531213816684580682795131715128639<53> · 49852357756711903215458867437681135752537509295755288539<56> (Naoki Yamamoto / GGNFS / 10h)
2·10110-1 =
1(9)110<111>
= 2953 · 72231431473962184466663<23> · 5794959279504231267574677581855623<34> · 161804255083499559497589699998069972906439305506967<51>
2·10111-1 =
1(9)111<112>
= 71 · 251 · 20489561 · 61766756955040092454850909626450969<35> · 88676893883253092463061598605662088178855904485539747444406236091<65>
2·10112-1 =
1(9)112<113>
= 7 · 176321 · 528554163011666951<18> · 4805884917611229567797426753<28> · 6379182849099375599312076766228046254582324644749798842977839<61>
2·10113-1 =
1(9)113<114>
= 4650259 · 89387497645595816161332104338818611<35> · 481145107556798585845390975569987436831798400147931324271186928514607751<72> (Naoki Yamamoto / GGNFS / 17h)
2·10114-1 =
1(9)114<115>
= 31 · 3343 · 439334993723776937237137<24> · 43927463681771939706724007487311284435681736327581150722112162661577762516222809268319<86>
2·10115-1 =
1(9)115<116>
= 151 · 739 · 4796780842151<13> · 10128647880475486409875491239<29> · 3688988149130245867088923249513885021476204048478897892443543945278019<70>
2·10116-1 =
1(9)116<117>
= 1414973875906225217477423519<28> · 2166851807361589573177075751475697<34> · 65230748710190317012308794178134036269360841135247689393<56> (Naoki Yamamoto)
2·10117-1 =
1(9)117<118>
= 1047589 · 85168019463062283512091014704502999<35> · 22416227110785555037014333292452400377314259442753749222567258532701137582309<77> (Sander Hoogendoorn)
2·10118-1 =
1(9)118<119>
= 7 · 17 · 228023 · 935187333561872655816153034416501361<36> · 788144343693189519772431006559145070846257778116348967005552162769367495807<75> (Sander Hoogendoorn)
2·10119-1 =
1(9)119<120>
= 117839 · 2883845398187423145137576280203368673508491<43> · 588530497766278656698413595437639465348609061819280096585286457602098451<72> (Naoki Yamamoto / GGNFS-0.41.4 / 3 hours)
2·10120-1 =
1(9)120<121>
= 127 · 6520884276873089204884529<25> · 232643528042555620464254561737409431506439<42> · 10380751776128730049253466514320685686318545305162727<53> (Naoki Yamamoto)
2·10121-1 =
1(9)121<122>
= 883721 · 3737013818915101<16> · 54651912365194411802671<23> · 414156484133784682062584316119<30> · 267559446031256771375027432233435194554265777931<48>
2·10122-1 =
1(9)122<123>
= 457 · 823 · 63311 · 675551 · 12433020390731958082612922116557055210986253471707899721351412214103965642265147545115773163707697033603169<107>
2·10123-1 =
1(9)123<124>
= 109 · 217114861 · 2825376469<10> · 7802871694458922680414327278941<31> · 3833391338808287460914354109964295906385875484435011906494407451701606919<73> (Makoto Kamada / GGNFS-0.42.0 / Total time: 4.2 hours (actual time: 5.0 hours))
2·10124-1 =
1(9)124<125>
= 72 · 23 · 5113 · 1705943 · 16967566179235566887<20> · 119907464293147010278459239593073153841105705184957642035719565130190948172143714050658360689<93>
2·10125-1 =
1(9)125<126>
= 5593144113982773671594705011644916102525868355090939299<55> · 35758063072253600104111297707041995548298752568202917692898922932429301<71> (Chris Monico / GGNFS)
2·10126-1 =
1(9)126<127>
= 17453998045111<14> · 4238151318667093204129<22> · 11368527580482054806969<23> · 2378232963001131757769639706588850023529714425979822496939392861679009<70>
2·10127-1 =
1(9)127<128>
= 19 · 1621 · 25802217629<11> · 39207910645081881480209<23> · 641893009635956926635449807862431482825313241818779071863244093976975917450117813399293941<90>
2·10128-1 =
1(9)128<129>
= 881 · 394688828423<12> · 17386334653013755032137<23> · 33081958964030418702365503289996434209148788857519087576245799267917760536678826112565014929<92>
2·10129-1 =
1(9)129<130>
= 29 · 31 · 484733313451<12> · 41463885135837930748140461<26> · 50291757440027988007781239460876655467039<41> · 2200901625430665915052040182443813421490599481669<49> (Naoki Yamamoto)
2·10130-1 =
1(9)130<131>
= 7 · 311043047257<12> · 5855691034209378660658810843429609687<37> · 4953517607135850515490609742784611284137<40> · 316679239119493368730697918313185363275679<42> (Chris Monico / GGNFS / for P42) (Makoto Kamada / PPSIQS 1.1 / 0:36:01:60)
2·10131-1 =
1(9)131<132>
= 296654321 · 40446252302369793894595799<26> · 16668673139090432255450876222723095772151061212853891918012066247975638378220012821097748974099881<98>
2·10132-1 =
1(9)132<133>
= 383 · 6784703 · 40846423 · 295764098205281929<18> · 157992194582767457565322208346460391<36> · 403241538412822815665069568615264515364295352454530261564930183<63> (Chris Monico / GGNFS)
2·10133-1 =
1(9)133<134>
= 61 · 3121 · 32569 · 5302472891<10> · 195683616035351<15> · 2006104662270156242546379421<28> · 18396048166882590003259808473789<32> · 84234678108171370226414993709593727370279<41>
2·10134-1 =
1(9)134<135>
= 17 · 2663 · 321847 · 760897 · 2200797068497<13> · 70625917741087<14> · 15680639486676961734577<23> · 712632491139172966014554311<27> · 10386305153265760923350299594057384995789127<44>
2·10135-1 =
1(9)135<136>
= 1009429609<10> · 66466428376467003161<20> · 29809288752202930186816586029758071927997326505795469392435769431182067143900175746749373167148751794271551<107>
2·10136-1 =
1(9)136<137>
= 7 · 96589511 · 29580260087897713270927967086849183270605261239420263167676072582486282002785404484994826641757642371156192548248255000927141487<128>
2·10137-1 =
1(9)137<138>
= 107933154040501<15> · 11254877967108971721971687364747575335643268954022536802019<59> · 164639613139898133672159836253458304835231081639583063417570849921<66> (Chris Monico / GGNFS)
2·10138-1 =
1(9)138<139>
= 2364127787039<13> · 10572381256746831649151<23> · 212908302086690775047301300781111<33> · 53426146938130791258323633576562641<35> · 7034606050525602062378853866875504841<37>
2·10139-1 =
1(9)139<140>
= 191 · 619 · 6991 · 383697359 · 37017759367171503340151408851<29> · 1574876758726287513138659381798639<34> · 1081735706601386314068213756663600329276092976490261046845791<61>
2·10140-1 =
1(9)140<141>
= 89 · 68567 · 411986842103<12> · 78243273145651897<17> · 45790969898680950598430026489151331148057<41> · 22203152531205841279242744607049040699497136455068620741800643479<65> (Chris Monico / GGNFS)
2·10141-1 =
1(9)141<142>
= 32015917066318421<17> · 83095559222912033513201<23> · 457218767870528707150601057398381<33> · 1644228552092592766221749652915894943375075120633042497702698329709599<70>
2·10142-1 =
1(9)142<143>
= 7 · 9554829631<10> · 4356731702671<13> · 3357467657868616871<19> · 2187736421927986737235449390719177<34> · 9344183469892461100358281997257285354029613953632153751125132345671<67> (Chris Monico / GMP-ECM)
2·10143-1 =
1(9)143<144>
= 644351574301<12> · 107281422616573668503595416894220191851<39> · 2893227456310286462832991811810130099788185702416662782780831395802057171334344263213571023649<94> (Chris Monico / GGNFS)
2·10144-1 =
1(9)144<145>
= 31 · 9804138075439<13> · 13854961586932530041353553255527433<35> · 474956195168874037512374864466717106402173543729681853735275008639338252700754042774999705598967<96> (Chris Monico / GGNFS-0.52.2)
2·10145-1 =
1(9)145<146>
= 19 · 1559 · 20089 · 172563109 · 181058459 · 1075734715959193269283226578855658554592998492316955174560854450407945424319248073957227218305717039530716235292611964941<121>
2·10146-1 =
1(9)146<147>
= 23 · 71 · 474911 · 257888265970814323320086855272227027633371129996351925483990159123030217349661840078449713663628105479699749408553570696882551093342254273<138>
2·10147-1 =
1(9)147<148>
= definitely prime number
2·10148-1 =
1(9)148<149>
= 7 · 117070574659995165200777586374365068986623688168229103<54> · 24405303086969361747536590638875719351910103103955718453805022842339158858638099335114643253319<95> (Chris Monico / GGNFS)
2·10149-1 =
1(9)149<150>
= 59 · 8885059 · 1493309014925537823429198505631<31> · 255486514302691494846148453167109949281503703507120073976338942411963652635881540252707023179121976597815727409<111> (Chris Monico / GGNFS)
2·10150-1 =
1(9)150<151>
= 17 · 336263 · 6516017 · 11385821807<11> · 55120529024967151191001971500609072753<38> · 85554335523575100570067317351631393271852473171138400561538366131132422284355387689070967<89> (Chris Monico / GGNFS)
2·10151-1 =
1(9)151<152>
= 401 · 15791 · 320609 · 13051070336175283765241555981<29> · 754838685673403250817815467686560425964416958861401194449084381071630229722100857179323372193549672196641809541<111> (Wataru Sakai / GMP-ECM B1=10000000, sigma=629645722)
2·10152-1 =
1(9)152<153>
= 127873 · 386726542721257<15> · 120528515901893905389937<24> · 33555008398613958752729265693235379355563530553168817452380845249912167919983150062798194145182858583305123607<110>
2·10153-1 =
1(9)153<154>
= 15691768246211<14> · 353513036560672278720383066571230366372013904846573971289155955705721<69> · 360539354070797054614614477395854393904128587102075385793873356333263229<72> (Jo Yeong Uk / GGNFS-0.77.1-20050930-k8 / 18.09 hours on Core 2 Duo E6300@2.33GHz / Mar 1, 2007)
2·10154-1 =
1(9)154<155>
= 7 · 47 · 6473 · 60889 · 820757286744157311721<21> · 709409658839905576587856324121<30> · 264897466561486457459040040838987171311953866242931984277806029435709662518462889628767297703<93> (Alexander Mkrtychyan / GMP-ECM 6.1.1 B1=50000 for P30 / Jan 5, 2007)
2·10155-1 =
1(9)155<156>
= 5012795239<10> · 136754115856816167695867638454568058370179471864695591167031691027321981<72> · 291749166878241872177396255297205394204088421236507456460074010898849116061<75> (Anton Korobeynikov / GGNFS-0.77.1-20050930-athlon / 141.14 hours / Jan 26, 2006)
2·10156-1 =
1(9)156<157>
= 31543 · 99879751314103257507070930078903<32> · 634818460244410667590194554947948312452377489168571246831381943469948522781850559392697592627523228359592226813837713231<120> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 21.97 hours on Cygwin on AMD 64 3400+ / Apr 7, 2007)
2·10157-1 =
1(9)157<158>
= 29 · 121465463101<12> · 904379301033768345717044160825785309<36> · 6457091006561228200494377454089107772956770149<46> · 972280702625490682212362702573778085813248187465970804365743191<63> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 25.26 hours on Cygwin on AMD 64 3400+ / Apr 18, 2007)
2·10158-1 =
1(9)158<159>
= 1285907719<10> · 586074106312714207<18> · 19164974945145553260890513<26> · 2146234644932441031676835698745485661674751462177<49> · 6451819391586870357110797574746788420003224310291851364103<58> (Tyler Cadigan / GGNFS-0.77.1-20050930-pentium4 gnfs / 26.18 hours on P4 3.2 gig, 1024 mb RAM for P49 x P58 / Oct 8, 2005)
2·10159-1 =
1(9)159<160>
= 31 · 269 · 1069 · 624521 · 972779112004724071<18> · 198218330943890143039085853511<30> · 1863087356568022561958848459430622336906208220440978054782168211919375375101660488520582074357218689<100> (Wataru Sakai / GMP-ECM B1=10000000, sigma=3417462312)
2·10160-1 =
1(9)160<161>
= 7 · 719 · 3521112583666989208128791647491651766924820281<46> · 1128556103542058996746525728749181096617698429611282103116231114503378579024061149030723533547291222035342709663<112> (Robert Backstrom / GGNFS-0.77.1-20060513-athlon-xp / 35.80 hours on Cygwin on AMD 64 3200+ / May 11, 2007)
2·10161-1 =
1(9)161<162>
= 251 · 161655888580414988449<21> · 4929067267522476772399515516679414108163602547357526247362820879771056978480295956320713767470483290988234487400884405613572415718545590701<139>
2·10162-1 =
1(9)162<163>
= 127 · 5273 · 450446783 · 424040923727<12> · 6946941874684115687<19> · 44150768863179970138761108743<29> · 50978294951850258538993701135036765568108019089176244471733547982180755616368273282307049<89> (Wataru Sakai / GMP-ECM B1=2500000, sigma=2720998571)
2·10163-1 =
1(9)163<164>
= 19 · 174487618126653641<18> · 4186331092881099761<19> · 3386583439103419048139<22> · 425516521298612683073279360167322442366672360115379403028822515179046853259828285118116601104061750216839<105>
2·10164-1 =
1(9)164<165>
= 67809912161<11> · 3472891059585089<16> · 849269746741852513804011594433218560999910505467277257825655691807743756218811823354778193394745179939468558916819232666784782605675043231<138>
2·10165-1 =
1(9)165<166>
= 7655941307665973375570133663486511<34> · 261235022530460006598408687183638970951651414830860078908511421097709137512874249975566177407311365807827101538554263013466888047409<132> (Makoto Kamada / GMP-ECM 6.0 B1=38000000, sigma=3142880293 for P34 / Mar 15, 2005)
2·10166-1 =
1(9)166<167>
= 72 · 17 · 857 · 8209 · 257263 · 851690129 · 6530536353569<13> · 32405593978005727<17> · 1054154281592478309289721<25> · 69820339848213929486700226609055408555720325559518563085005422922099263299504866066872511<89>
2·10167-1 =
1(9)167<168>
= 4909 · 16729 · 76379 · 2075226395886463745978813668503914095832906194613111381<55> · 15364821936988404978129042011260705176086625946572656434503802043499982149928090393044705627002582341<101> (Robert Backstrom / GGNFS-0.77.1-20060513-athlon-xp snfs, Msieve 1.32 / Jan 4, 2008)
2·10168-1 =
1(9)168<169>
= 23 · 1777 · 18839 · 135391 · 364756495659471337<18> · 636103204077055081116683110150349594823972754883063<51> · 82686854649109369630282597434781951218127495551479593262504037019953021599941887782351<86> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs / 24.35 hours on Core 2 Quad Q6700 / May 9, 2009)
2·10169-1 =
1(9)169<170>
= 9479 · 22528741 · 58898760265545578947543164298726379592443127301<47> · 1590099849864182210494369250009957128474833068460631622744916529265419584880420247201933949436069843089442684241<112> (matsui / GGNFS-0.77.1-20060513-prescott snfs / 177.49 hours / Jun 4, 2008)
2·10170-1 =
1(9)170<171>
= 372939703851234256631<21> · 1476778544474435499113<22> · 435805161629542059835776832137316524513544223593929263<54> · 833265940121934456634651862380154649875027665246097890955759336287836945791<75> (Dmitry Domanov / gnfs-lasieve4I12e for sieving, msieve for postprocessing and linear algebra / 1.27 hours / May 12, 2009)
2·10171-1 =
1(9)171<172>
= 6569 · 568471 · 1534359796328829895031<22> · 5602144536868763044479389<25> · 4966249304875500322389200136777001930696447359469<49> · 12546205073768228751789097590163050732197922850972414927607422229231<68> (Wataru Sakai / GMP-ECM B1=2500000, sigma=1049067351 for P25 / Oct 9, 2004) (Sinkiti Sibata / GGNFS-0.77.1 gnfs / 79.11 hours for P49 x P68 / Jul 23, 2005)
2·10172-1 =
1(9)172<173>
= 7 · 113 · 3109031 · 8132582165700864725384794456880466047998180331487391565237349262086355212969573987951557563542321517007668473186555972632366243814534380143640927376057118826501119<163>
2·10173-1 =
1(9)173<174>
= 8039 · 201325174297090859039<21> · 123574790609783027246842790818912629400260138380434404128998437307189726999390879145839993022426984160482292441955959427540282984682342556834245432119<150>
2·10174-1 =
1(9)174<175>
= 31 · 433 · 432861613054879<15> · 619180306815359879947719443746703720133427088087349543290858026082921<69> · 555922429864657334982749661703084805904449869206638420241546962493043429452142780416407<87> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs / 34.42 hours on Core 2 Quad Q6700 / May 10, 2009)
2·10175-1 =
1(9)175<176>
= 28907629 · 2056488191<10> · 132225919007591<15> · 252597480480496167240007038032606644816424127704209356727130090671<66> · 10072695254702194408495084787330701009705144691937916451329143381917222375956381<80> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs / 38.52 hours on Core 2 Quad Q6700 / May 12, 2009)
2·10176-1 =
1(9)176<177>
= 257 · 156577 · 16506330678736007<17> · 6963592316914968855505993<25> · 2638173759595778891884183100234637053647717064980325343311<58> · 16390100988022968074152500639629002445679211540543545306742330563674831<71> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs / 43.15 hours on Core 2 Quad Q6700 / May 13, 2009)
2·10177-1 =
1(9)177<178>
= 131 · 2341 · 6451 · 8219 · 1213759 · 9792964619<10> · 906338562589<12> · 1221030562037153341<19> · 9350775329684102171038671577136759905391113341535845981610226391224406406632918776058863102655323754585576897765428069<118>
2·10178-1 =
1(9)178<179>
= 7 · 19697 · 49871 · 2168131776887<13> · 21546540858697<14> · 34452787495073<14> · 702699414074538345359<21> · 11232286032052640081577527<26> · 67824241037706050027234164121994583646719<41> · 3375775122619098833564433321864778716021439<43> (Wataru Sakai / GMP-ECM B1=2500000, sigma=2325465454 for P26, PPSIQS)
2·10179-1 =
1(9)179<180>
= 149 · 19645014971<11> · 838639710091<12> · 13513905648601<14> · 7736164186569272400196540924681661<34> · 779308440001156560248963164065011218680470960978737478778245389819252290693403741828408530381050760178412831<108> (Serge Batalov / GMP-ECM 6.2.1 B1=1000000, sigma=3871587776 for P34 / Aug 8, 2008)
2·10180-1 =
1(9)180<181>
= 2089 · 25247 · 906097649 · 2812810690923703<16> · 3646742702319169110919751900918642423<37> · 4080009229030868132507753050857621102187848916600309751871730009887972204041194243916993303782420351451924397113<112> (Jo Yeong Uk / GMP-ECM 6.2.1 B1=3000000, sigma=386652535 for P37 / Apr 24, 2009)
2·10181-1 =
1(9)181<182>
= 19 · 71 · 7349 · 808897818779368181<18> · 797129087967153857493783971<27> · 5050517525163785428349019657192204840675990331<46> · 619486140631122497714177220241924734371086778583423922913708782283498388270677109979<84> (Wataru Sakai / GMP-ECM B1=10000000, sigma=1614436620 for P27) (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs / 68.24 hours on Core 2 Quad Q6700 / May 19, 2009)
2·10182-1 =
1(9)182<183>
= 17 · 503 · 12703 · 4906991 · 33194257 · 15819838750753<14> · 714539966219975752093651873450560138857789232148671578445867424286812032749141116170524740216510076628678028776224537205938204657599155251444716553<147>
2·10183-1 =
1(9)183<184>
= 298385575419109<15> · 138315648629492573181397043870991531509<39> · 48459714744214666303053112592352799187563839995254738535415184574936072669072865614713121962535167281027204906904020713946527407079<131> (Jo Yeong Uk / GMP-ECM 6.2.1 B1=3000000, sigma=3048775659 for P39 / Apr 22, 2009)
2·10184-1 =
1(9)184<185>
= 7 · 89 · 32102728731942215088282504012841091492776886035313001605136436597110754414125200642054574638844301765650080256821829855537720706260032102728731942215088282504012841091492776886035313<182>
2·10185-1 =
1(9)185<186>
= 29 · 1019 · 3061 · 185641 · 1163879 · 1106128781<10> · 9251391506601896548962062072135342672345671944336259503519575724578399287203123684189569944151269941558109673013010611619075630257857646553294751235396292351<157>
2·10186-1 =
1(9)186<187>
= 296901871784840474596451067124798270007983<42> · 6736232371917697306232661533335076985833929307159972549000421272481243378053186113524491727400346082186043249318474480674836559545201820196754353<145> (Makoto Kamada / GMP-ECM 6.0 B1=30000000, sigma=424246314 for P42 / Mar 15, 2005)
2·10187-1 =
1(9)187<188>
= 112121 · 2328514751<10> · 9133133914964840069<19> · 8387725594967797877847445149097455195284251960530280357373107440551290859414624091276013600436646558649912416870390629400114457530426651435186232182834101<154>
2·10188-1 =
1(9)188<189>
= 69761 · 2866931379997419761758002322214417797910007023981880993678416307105689425323604879517208755608434512119952408939092042831954817161451240664554693883401900775504938289302045555539628159<184>
2·10189-1 =
1(9)189<190>
= 31 · 5439829 · 2720009561<10> · 13767101225803399878919<23> · 317174697888724493139312350540581<33> · 513218192797005307893534212745911015541469979463052889<54> · 1945671599615643697213895686057854815110769046170890008443525071<64> (Jo Yeong Uk / GMP-ECM 6.2.1 B1=1000000, sigma=3783356541 for P33 / Apr 18, 2009) (Robert Backstrom / GGNFS-0.77.1-20060513-pentium-m, Msieve 1.39 gnfs for P54 x P64 / 21.19 hours, 0.93 hours / Apr 21, 2009)
2·10190-1 =
1(9)190<191>
= 7 · 23 · 151 · 1043761 · 27676127635110233402503730692785558639486036666823955434117813714327581673274833<80> · 28478740748702695477340652489819896975660217520497038645376481346236576555545798008200801855853755193<101> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs / 128.90 hours on Core 2 Quad Q6700 / May 24, 2009)
2·10191-1 =
1(9)191<192>
= 2749 · 218227091623637911<18> · 1634251873308525786539681<25> · 374917624436804778786980691929301633251<39> · 544116308602057079193319001051462073305059198331631713353356980808064530293851666207891990993563912562753711<108> (Jo Yeong Uk / GMP-ECM 6.2.1 B1=3000000, sigma=2535079878 for P39 / Apr 24, 2009)
2·10192-1 =
1(9)192<193>
= 13126437311707103<17> · 151419514294581983<18> · 34800207118492911860248366555234613008736732153524878679537<59> · 28914750508730044277748248804535726260023740804371880053958065619493865157416478604450813537747698223<101> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs / 185.08 hours on Core 2 Quad Q6700 / Nov 3, 2009)
2·10193-1 =
1(9)193<194>
= 61 · 3011 · 3019 · 2630399 · 1921011481<10> · 5467489597378404813936108409<28> · 394666621455911984281003929471901<33> · 27527725817981321521808835728186950658541825851539<50> · 120167217091555354429467632255431770850693114035283138229779<60> (Wataru Sakai / GMP-ECM B1=10000000, sigma=1047059932) (Jo Yeong Uk / GMP-ECM 6.2.1 B1=1000000, sigma=1344099513 for P33 / Apr 16, 2009) (Robert Backstrom / GGNFS-0.77.1-20060513-pentium-m gnfs for P50 x P60 / 11.32 hours / Apr 19, 2009)
2·10194-1 =
1(9)194<195>
= 1039 · 1759 · 16487 · 63521 · 104493588576799778029745932897776423435623522437820868568575839405719277133251214352782274114545948413633042007458508830338272808110910294096478994736256530726368019295225237414137<180>
2·10195-1 =
1(9)195<196>
= 5899211 · 14379834023187049<17> · [23576655207909208424624202624006807544095893996706242465497479933717817335301260997188669857591848828615161079849847110159737109007441407916694060960678075171144655502337941<173>] RESERVED
2·10196-1 =
1(9)196<197>
= 7 · 21786481 · [131142925612578605184432623935130099388567747914078328797438322285405208067201989029015614906195399667475309246001814480404483076323471291341504066542130284503364396349408476883308637918297<189>] SUBMIT/RESERVE
2·10197-1 =
1(9)197<198>
= 3489781 · 1544884849<10> · 99635152957880897351925251119<29> · [372325786866169441250327851059588119485775841500993243856730119954248515508380134433190793829593497441299946322830257214959074704367324446826072083886109<153>] (suberi / GMP-ECM 6.1.2 B1=1000000, sigma=1950883594 for P29 / Mar 6, 2007) SUBMIT/RESERVE
2·10198-1 =
1(9)198<199>
= 17 · 16054153 · 7328138633257663095941958591832354934613382300151097791258344766725762852911202551543553137639470462693287121993403495399748148729893790612017595549703483175313687661123097116439370584560599<190>
2·10199-1 =
1(9)199<200>
= 19 · 17339562682791539<17> · 7572092218037286911<19> · 15088679290694653491630959079652649<35> · 531338312951247025629014580036481987176765320031147478358915519016343794161299690194525950929141452320767635858987664888979395601<129> (Jo Yeong Uk / GMP-ECM 6.2.1 B1=1000000, sigma=1624952013 for P35 / Apr 19, 2009)
2·10200-1 =
1(9)200<201>
= 47 · 199 · 8832847 · 26986789362889673<17> · 22887618087703883422612434497873<32> · [3919462703564142473698047873878421629698357069094950750629640809045036371942703314337013367544634521328393484746001349161465007919976067433841<142>] (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=2533383244 for P32 / Oct 21, 2008) SUBMIT/RESERVE
2·10201-1 =
1(9)201<202>
= 229 · 289189 · 11850109 · 2140346269<10> · 58220374391<11> · 11232633946279<14> · 1820747652687313076970308237133116930047760557180215846455038964786067841935440364907863228689030237665702281690107267501915506813149396724639068863512991<154>
2·10202-1 =
1(9)202<203>
= 7 · 97 · 193 · [152617000007630850000381542500019077125000953856250047692812502384640625119232031255961601562798080078139904003906995200195349760009767488000488374400024418720001220936000061046800003052340000152617<198>] SUBMIT/RESERVE
2·10203-1 =
1(9)203<204>
= 8641 · 14401 · 79899380269<11> · 97532565451<11> · [206243505403495911597908087256138164868498356076098099558980803593541802611700028125565284467739707634286604953739495769406508417342502338966508299184706373918392466485058481<174>] SUBMIT/RESERVE
2·10204-1 =
1(9)204<205>
= 31 · 127 · 223 · 2278031461892520197596449004557201939515986655291696233616682480001731303911038315350173301243463473474032149858021689137548678684801315790972389119666131708945032239840264433892096483744536995800449<199>
2·10205-1 =
1(9)205<206>
= 4871 · 2292880818603421<16> · 1129082288029883803778855245661<31> · [1586005869640370385835630004795171489748136970111735468000037034576203712150943132322655517008937091427800298435286635359428161072876813941823046361696157249<157>] (Serge Batalov / GMP-ECM 6.2.3 B1=3000000, sigma=3975420477 for P31 / May 17, 2009) SUBMIT/RESERVE
2·10206-1 =
1(9)206<207>
= 11887 · 25251681423007905250365508795903<32> · [666296345653486704742396440597318758413330523030411841134328740685319859888372657484412271028953068923412326473632165793283237236740121087632239829994708821140851105993359<171>] (Dmitry Domanov / GMP-ECM 6.2.3 B1=11000000, sigma=1034025118 for P32 / May 17, 2009) SUBMIT/RESERVE
2·10207-1 =
1(9)207<208>
= 59 · 3094811768747411<16> · 617154916981980493532291<24> · 1381098786990645604063367397059<31> · 10018631606052288287701622273517610992315312691<47> · 1282674318787362762030604322874622092382640612854027342323747789696130963429438316715523069<91> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=4230776172 / May 14, 2009) (Andreas Tete / Msieve 1.42/GGNFS gnfs for P47 x P91 / 358 hours on Intel Core 2 Duo/Windows Vista 32bit / Jun 17, 2009)
2·10208-1 =
1(9)208<209>
= 72 · 316769 · 1261104223<10> · 10800589647845288422796999<26> · [94600361508194417808845189664460761795365750560873194715127655656396575836163788368086818879930145147365854243279065054512833388878881284857599529159076473575765237927<167>] SUBMIT/RESERVE
2·10209-1 =
1(9)209<210>
= 10517839 · 16438921 · 24894579583324819<17> · [46464939100042697600614425001664512760626535616435264062210365888932453527175575025017747970911072980754755948405481423013229367366413363421783102983893777684592394221438848150259<179>] SUBMIT/RESERVE
2·10210-1 =
1(9)210<211>
= 29981284013647<14> · 66708283710918853648732669496601455073768019495372107410298266417531002281288366831362447914251993787664432276474332877903253883831469467663624285564104571869125582069868761507762676598626087944017<197>
2·10211-1 =
1(9)211<212>
= 251 · 2801 · 4566241 · 25133017109<11> · 2484626288622811<16> · 35483368469100191<17> · 15854417124067871024502366511<29> · 177338696547218351291916369975797216832676052273918978821507669208855210386731730351736313471339489806102171229801686832536171611<129>
2·10212-1 =
1(9)212<213>
= 23 · 2659264777745734405392508581327747941839503713<46> · 2624192453344997234656310661787467697906712795425020425430953<61> · 1246077046444953259325719448796658447093073224853980853958734916369485280891634235590281319558742952446417<106> (Robert Backstrom / GGNFS-0.77.1-20050930-k8, Msieve 1.39 snfs / 95.16 hours, 39.93 hours / Jul 24, 2009)
2·10213-1 =
1(9)213<214>
= 29 · 821 · 7321 · 44902829 · 355233079 · 448280798882078069<18> · 6854966628808903721<19> · 234086219568768493384575699787100131203631236989253043340192309882596800453568219637513520191401486652706213975883087807418507263360931285631349876089449<153>
2·10214-1 =
1(9)214<215>
= 7 · 17 · 79396251305573567<17> · 90288233488896424057<20> · 38115909555433345954531231<26> · [615099809895091898670886860215714256707251973200636112364342237811652291980354324592432834671548674627742658656305609268579024525475061012264371017889<150>] SUBMIT/RESERVE
2·10215-1 =
1(9)215<216>
= 12796511725008761<17> · 27429835724790464950651<23> · [569790481640051694744649391004287838911334026893423499540066814716624096602559281535141904049106552979741185532515117001691178227913495022385337207379158734679156381052899336309<177>] SUBMIT/RESERVE
2·10216-1 =
1(9)216<217>
= 71 · 1801 · 361107090626796555790432520736349127614104388447835771607771886723658185918374320268583<87> · 43313364268944003504537958096108351815974418622703052728674628970748248006983423154634967569396860724808442556827278605720343<125> (Robert Backstrom / GGNFS-0.77.1-20050930-k8, Msieve 1.39 snfs / 137.94 hours, 48.48 hours / Jul 5, 2009)
2·10217-1 =
1(9)217<218>
= 19 · 709 · 904769 · 1017679331050547517629<22> · 1612432315273005029221547519325069893802446516438907896918769378970555182890470089771998244901998358319022222884085640839907182440601073478933029595896151707580359174848823467490814129269<187>
2·10218-1 =
1(9)218<219>
= 280537 · 19393769 · 58898316075177396200124529<26> · [624129557698804436312353633857019856744525808910897600199764194167265977552839017143164739559857650131202711199694716372031112909273438240959414962264431062424813713753887407826927<180>] SUBMIT/RESERVE
2·10219-1 =
1(9)219<220>
= 31 · 1640071 · 236968351 · 123613914166095532351<21> · 1342913215371673709132384314428352010398059853915821653698975872597752690513694392930386600551103801376643091790715611067426270736623741054661220523808133279651838890148612649228345399<184>
2·10220-1 =
1(9)220<221>
= 7 · 8524543 · 1083123216870509849562557573497140850225905243919<49> · 309444654420209152261395329908853882478560572701303797798488365664928863916804072609327933421236573012248026757692102667702446776183075707594247676208587347163650521<165> (Robert Backstrom / GGNFS-0.77.1-20050930-k8, Msieve 1.39 snfs / 235.94 hours, 66.67 hours / Jul 18, 2009)
2·10221-1 =
1(9)221<222>
= 691 · 1982518332226609<16> · [145993908794679265280906834353269318371684848710417920434371722377619019393382275077652362615824360772720785594165434710205598804336757924268122265746121728432325491010807341661356795678826563563497827221<204>] SUBMIT/RESERVE
2·10222-1 =
1(9)222<223>
= 36871 · 11256575312887447441<20> · 4818798847159559414262808277270282791144542592689731754992479836058813152832171773431819211303910060300022756302770538507319834219489823272350428361324379186768464326384931447073139690789365926366009<199>
2·10223-1 =
1(9)223<224>
= 991 · 193339181171<12> · 455014687811<12> · 18998952161651808949<20> · [12074840456355389334734643650290213080359954731290000981462601699161988617524030190888575017201465419128007036191975143718518239712397345863320507147630982675497384559158893422981<179>] SUBMIT/RESERVE
2·10224-1 =
1(9)224<225>
= 31327 · 16650167 · [383435743364485101827580278426159098480275452848612774274141845291625258978780547612850026299712602800105517863965015009937870083093146696310199681519974399594956100349037023248743374839559767228330377228334764711<213>] SUBMIT/RESERVE
2·10225-1 =
1(9)225<226>
= 465989 · 1171249831<10> · 3664416157863497914695709514283907492583772450826105945310867548150665250560231881142370664182117663975949546153717737724708784247203715419468375490274182457967467037864404549763044312920788954980587932491493461<211>
2·10226-1 =
1(9)226<227>
= 7 · 311 · 12569 · 6389177 · 3071556314807<13> · 19809992120726537<17> · 8808853316943552116581927<25> · [213434075618454817889307827911183051733506523621295255502038075545271146595314558414496284419727857644528369210795511529925032355177091381997205863095640994743<159>] SUBMIT/RESERVE
2·10227-1 =
1(9)227<228>
= 181 · 4861 · 462130701166480949<18> · 7738480982680100571956372754821<31> · [63563127649166232179850983810523035979538568532736072983841803065409398698919788148679008482535663116387673169125836528802130741623584444603820241686574015731518580408023591<173>] (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=3852450360 for P31 / May 16, 2009) SUBMIT/RESERVE
2·10228-1 =
1(9)228<229>
= 89 · 4457 · 48807636799<11> · 48162227057479<14> · 34737774326489662688405116708081<32> · [61744890455627167650213481924706733811913431676549506889611587102056636349376989460925182092585372167014570509513719102469122094560721050071607131701885496911760705063<167>] (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=2228537699 for P32 / May 16, 2009) SUBMIT/RESERVE
2·10229-1 =
1(9)229<230>
= 1056971 · 20359951 · 390310981301<12> · 108643587038686091238436979<27> · [21916708385098131033333095269376075876798445018655025041469839388483970495178383361072710161781408318484479001679893902395500913763413829930557783850688432779258953541194291742461<179>] SUBMIT/RESERVE
2·10230-1 =
1(9)230<231>
= 172 · 25153 · 11579637493057433<17> · 3138535457534232274156466055047<31> · [757042670140688023103262622021862593490644920682966776042577257267669929768884077607148297565333700408364576107072658343098036813677912475966387405833028216803233156249615548497<177>] (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=1024525549 for P31 / May 16, 2009) SUBMIT/RESERVE
2·10231-1 =
1(9)231<232>
= 109 · 745090121 · 3658606079<10> · 74179326541530901081<20> · 2663495355611645172619<22> · 16582409076525192548049071<26> · 2054454778228289133057901200440524855271655987429693148672852126767779762117802090904015020543843225676653356878188447330870794689978140306240641<145>
2·10232-1 =
1(9)232<233>
= 7 · 173137 · 42049591 · 34613759961280378907193267864768175303<38> · 11337871068816284810015281720676567521820709766247790016536458359116649482490012289408508986811315047442941807203647099955100565546682002698657209705791404051679009408588287240060857<182> (Dmitry Domanov / GMP-ECM 6.2.3 B1=11000000, sigma=1689352593 for P38 / May 18, 2009)
2·10233-1 =
1(9)233<234>
= 1609 · 2381 · 13213674099181<14> · 699290917369818644406271<24> · [5649800040997989056384388666276247754857572198499623320374047344432258313975849273379481728725273412701866328473256643125763907979494222199150363306306029072375768573455960964597887867800881<190>] SUBMIT/RESERVE
2·10234-1 =
1(9)234<235>
= 23 · 31 · 191 · 541948937 · [27098717017062763064867378498742260949704289212960255697168605099948265071065644392435612897499759962854142243349748884751678132791707148264568135254763719255700170594345462167291546083222452237623025198919167166800699569<221>] SUBMIT/RESERVE
2·10235-1 =
1(9)235<236>
= 19 · 11742127529639617091<20> · [89645728705492539437862993861367362574015604460859563871525207767510933999770360612964034886641244046528736502446974901848536428390310966314653159459140592582232583367824122710503598743860960189954810630162526824631<215>] SUBMIT/RESERVE
2·10236-1 =
1(9)236<237>
= definitely prime number
2·10237-1 =
1(9)237<238>
= 1485139 · 82194942679035757862701<23> · [16383919137519665857365075857641648950126706196890408994238884156004817456673000176378488006652676248990990841296517567710303513779716763530757715660719586730070510285390992589610883686320391188064986690638041<209>] SUBMIT/RESERVE
2·10238-1 =
1(9)238<239>
= 7 · 5387087655569<13> · 13243072968935599629199<23> · [40048766230093577874542269012681429376030271871322717464625090836400713802074457263587194484220216390151685647431375004994003420033981358714039733658213885511244769095837414317102869730335448621398789047<203>] SUBMIT/RESERVE
2·10239-1 =
1(9)239<240>
= 489989 · [408172428360636667353756921073738390045490817140792956576576208853668143570569951570341375010459418476741314600940021102514546244915702189232819512274765351875246178995855008989997734643022598466496186649088040751935247525964868599091<234>] SUBMIT/RESERVE
2·10240-1 =
1(9)240<241>
= 30977 · 12900409695855239366375680297<29> · [5004804723284328509504727413794179674007575588977579484001085955783285781518184216385475235750566319669217329827167346224955993379403688987397077202076056166105889455325049497934984058409692206566091055812071<208>] (Serge Batalov / GMP-ECM 6.2.3 B1=3000000, sigma=3362628703 for P29 / May 17, 2009) SUBMIT/RESERVE
2·10241-1 =
1(9)241<242>
= 29 · 701 · 133669 · 918389 · 184446439 · 351163758889561<15> · 3512634231671191069<19> · 14014547991207664249<20> · [2513417409317027699461886662094126250680818087720278251267511146054645294749323032301215664060970166005629729658654615156702860874581046057308927729542490969800470109<166>] SUBMIT/RESERVE
2·10242-1 =
1(9)242<243>
= 1481 · 27617 · 489791 · 2020958713<10> · 4940036927563734650289041073484385269463137652008107595132660457838595618772789751665642437488554396724081911017367445416108766859545418263719958746998767093055262294343333514391309710931883469086980384555738120196894689<220>
2·10243-1 =
1(9)243<244>
= 2711 · 276599 · 2493259 · 2195287234559<13> · 155048588595419<15> · 113500420175207955079<21> · 1880865483204037445555499001<28> · 14722043681207988906567695591206047432455624041911631493232955914158275326256087253391941171571167467123648523248542231034633511941530066472057561401050311<155>
2·10244-1 =
1(9)244<245>
= 7 · 46859370631284521074087<23> · [60972710871950018992346622484430666582148145101326445841166268422895888423540503685208688554852440850753983370769372075957024698062445889688834324728561497494568840257057042268712733242832777318443591469705590646925741711<221>] SUBMIT/RESERVE
2·10245-1 =
1(9)245<246>
= 240139 · 11646344158366741257794536820925991<35> · 71511794816116647592466076649315262164366978239860741017711346458660357589133354997489778453665412237637499789509689866120922247059753039227205632490112635124358150084519402014002012700683540453240769740251<206> (Serge Batalov / GMP-ECM 6.2.3 B1=1000000, sigma=4173179287 for P35 / May 18, 2009)
2·10246-1 =
1(9)246<247>
= 17 · 472 · 127 · 167 · 2897 · 114206641463<12> · [7589712253318449977794714077767074684444795875302732461909050440959250085897090678216003417806198854786421223952603836981819020714301022097526214806505248296945201299456124540149851441228020294554464020975221227123422253217<223>] SUBMIT/RESERVE
2·10247-1 =
1(9)247<248>
= 5711 · 5137651 · 109424217918630909136935706451429<33> · 6229307717727602487152483306982713621811871446270813768407187294030930000936284989180582851699942671495245102701667423676129508232560794431964653471639690945651238874214201094168491986383412060065017416271<205> (Serge Batalov / GMP-ECM 6.2.3 B1=3000000, sigma=1912754877 for P33 / May 17, 2009)
2·10248-1 =
1(9)248<249>
= definitely prime number
2·10249-1 =
1(9)249<250>
= 31 · 41189 · 14688599 · 106636695609849807619380502086752177021121912178406288783928532675655707365659919290810756822029223802389954201096505087029547190893014999066365279027558324605884432982760052445287949857616056442896279752664753458991337176548938330442939<237>
2·10250-1 =
1(9)250<251>
= 72 · 1567 · 2351 · 29569 · 820247 · 952297 · 125263889417<12> · 304562977541311<15> · 982182388506161<15> · 702888484216906112706328919441<30> · 182128123613230148821197951079533160449193425749123851243811061451992063535981022431453364971606385342015615469615412435780149477577202069344045728105606839<156> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=3078787352 for P30 / May 17, 2009)

4. References

Copyright (C) 1999-2009 Makoto Kamada All Rights Reserved.