[PR]［無料］足し算引き算で分かる:電卓で気になるあの人も恋人の相性も診断
Factorizations of 199...99 2008-10-22(Wed) 00:24
Last update
Oct 22, 2008 00:24 JSTSequence
1, 19, 199, 1999, 19999, ...General term
2·10n -1133...33 , 533...33 , 711...11 , 799...99 .Room for prime numbers
upper limit of periods: 10000Prime numbers
2·101 -1 = 19 is prime.2·102 -1 = 199 is prime.2·103 -1 = 1999 is prime.2·105 -1 = 199999 is prime.2·107 -1 = 19999999 is prime.2·1026 -1 = 1( 9) 26 <27> is prime.2·1027 -1 = 1( 9) 27 <28> is prime.2·1053 -1 = 1( 9) 53 <54> is prime.2·10147 -1 = 1( 9) 147 <148> is prime.2·10236 -1 = 1( 9) 236 <237> is prime.
2·10248 -1 = 1( 9) 248 <249> is prime.
2·10386 -1 = 1( 9) 386 <387> is prime.
2·10401 -1 = 1( 9) 401 <402> is prime.
2·10546 -1 = 1( 9) 546 <547> is prime.
2·10785 -1 = 1( 9) 785 <786> is prime.
2·101325 -1 = 1( 9) 1325 <1326> is prime.
2·101755 -1 = 1( 9) 1755 <1756> is prime.
2·102906 -1 = 1( 9) 2906 <2907> is prime. (Hugh C. Williams / 1985)
2·103020 -1 = 1( 9) 3020 <3021> is prime. (Hugh C. Williams / 1985)
2·105407 -1 = 1( 9) 5407 <5408> is prime. (Harvey Dubner / Dubner Cruncher / Oct 1, 1994)
2·105697 -1 = 1( 9) 5697 <5698> is prime. (Harvey Dubner / Dubner Cruncher / Oct 1, 1994)
2·105969 -1 = 1( 9) 5969 <5970> is prime. (Harvey Dubner / Dubner Cruncher / Oct 1, 1994)
2·107517 -1 = 1( 9) 7517 <7518> is prime. (Harvey Dubner / Dubner Cruncher / 1993)
2·1015749 -1 = 1( 9) 15749 <15750> is prime. (Harvey Dubner / Dubner Cruncher / Jun 16, 1999)
2·1019233 -1 = 1( 9) 19233 <19234> is prime. (Roland Clarkson / Yves Gallot's Proth.exe / Sep 21, 2000)
2·1038232 -1 = 1( 9) 38232 <38233> is prime. (Eric J. Sorensen / Yves Gallot's Proth.exe / Sep 3, 2001)
2·1055347 -1 = 1( 9) 55347 <55348> is prime. (Eric J. Sorensen / Yves Gallot's Proth.exe / Jul 18, 2002)
Searched:Condition
n≤200Status
Completed up to n=100. (Apr 29, 2003)168 , 170 , 174 , 175 , 176 , 180 , 181 , 183 , 189 , 190 , 191 , 192 , 193 , 195 , 196 , 197 , 199 , 200 (18/200)Factorization 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> · [52597373177352208060513564077435320881813363520162130791000724022083971317654521522294775353936789042386457644556411844586189315400221113 <137> ] SUBMIT/RESERVE 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> · [363141597715231961840469669719391341355478061523847951174507517995879853212559878525994104711390336716937987367736368470819582033 <129> ] SUBMIT/RESERVE 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> · [344216220689138912934454927280358723898655801619893389728782160047005078582797351260752955072440170199771132657212043868893991972544665947669729527490884847 <156> ] SUBMIT/RESERVE 2·10175 -1 =1( 9) 175 <176> = 28907629 · 2056488191<10> · 132225919007591<15> · [2544337442985623921716959902522957528934609642218505078688226925961732275234116485121754486032016850727010696319789948443649436146269366871021651 <145> ] SUBMIT/RESERVE 2·10176 -1 =1( 9) 176 <177> = 257 · 156577 · 16506330678736007<17> · 6963592316914968855505993<25> · [43239934343727043867038071858195868131316110066819744096987416719312710840761544224861895751661857201711227598866960845844905441 <128> ] SUBMIT/RESERVE 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> · [14878743881363177813121181985179871892369482209890801997246302818188423938858501010328725657818896907386546241733098581247875698793343660876700524799 <149> ] SUBMIT/RESERVE 2·10181 -1 =1( 9) 181 <182> = 19 · 71 · 7349 · 808897818779368181<18> · 797129087967153857493783971<27> · [3128725609853561538026773920634567520995491992088880828324972714133336327873248318256123375586149260625874239143237635528827613049 <130> ] (Wataru Sakai / GMP-ECM B1=10000000, sigma=1614436620 for P27) SUBMIT/RESERVE 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> · [6702736877246236350782731803505581851819006651598315170749396069506347157382739930428866242940491670173578185223001548816068081968260436967719825339733369220980898152211 <169> ] SUBMIT/RESERVE 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> · [316716082982021715964078119995152309103483041202058322413122073625672839431656295396252831115566430331967060364389847629059167242554614320568263209139 <150> ] SUBMIT/RESERVE 2·10190 -1 =1( 9) 190 <191> = 7 · 23 · 151 · 1043761 · [788181263848310569191168289698477608629667806002138500262250231716631429766774029824489209769354914397516489610270580329936650268653863597002338747131096998004045747905232989957769 <180> ] SUBMIT/RESERVE 2·10191 -1 =1( 9) 191 <192> = 2749 · 218227091623637911<18> · 1634251873308525786539681<25> · [203998793838406605456849058402298086054508973666863581672079665320253658796228665748890577906627191442159765577090127199451780519415081662361244461 <147> ] SUBMIT/RESERVE 2·10192 -1 =1( 9) 192 <193> = 13126437311707103<17> · 151419514294581983<18> · [1006239306483353831476825306401787972745351092928340869203919022242287714541569486966508596822901307295892131075739094628996817962709248807383479467349401362751 <160> ] SUBMIT/RESERVE 2·10193 -1 =1( 9) 193 <194> = 61 · 3011 · 3019 · 2630399 · 1921011481<10> · 5467489597378404813936108409<28> · [1305529637784949287620571177887970771289520181235731640907698902880282231900498703097479220981210951629363692688397047212888405051383997623781 <142> ] (Wataru Sakai / GMP-ECM B1=10000000, sigma=1047059932) SUBMIT/RESERVE 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> ] SUBMIT/RESERVE 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> · [8017193398980115789611498508984984667086036428422295572972632192194297168351927795512719154924815800899613373920817281990053320592884375557748210291511125038597049 <163> ] SUBMIT/RESERVE 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