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Factorizations of 722...223

About 722...223
- First ten terms
- General term
Prime numbers of the form 722...223
Factorizations of 722...223
References

1. About 722...223

First ten terms

73, 723, 7223, 72223, 722223, 7222223, 72222223, 722222223, 7222222223, 72222222223

General term

(65·10ⁿ+7)/9

2. Prime numbers of the form 722...223

Last update

Sep 25, 2010

Searched up to

n≤30000

Difficulty of search

16.26%

Results

(65·10¹+7)/9 = 73 is prime. (Makoto Kamada / Dec 6, 2004)
(65·10⁴+7)/9 = 72223 is prime. (Makoto Kamada / Dec 6, 2004)
(65·10¹²+7)/9 = 7(2)₁₁3_<13> is prime. (Makoto Kamada / Dec 6, 2004)
(65·10¹³+7)/9 = 7(2)₁₂3_<14> is prime. (Makoto Kamada / Dec 6, 2004)
(65·10¹⁵+7)/9 = 7(2)₁₄3_<16> is prime. (Makoto Kamada / Dec 6, 2004)
(65·10³⁶+7)/9 = 7(2)₃₅3_<37> is prime. (Makoto Kamada / PPSIQS / Dec 6, 2004)
(65·10⁴⁰+7)/9 = 7(2)₃₉3_<41> is prime. (Makoto Kamada / PPSIQS / Dec 6, 2004)
(65·10⁹⁰+7)/9 = 7(2)₈₉3_<91> is prime. (Makoto Kamada / PPSIQS / Dec 6, 2004)
(65·10⁸³⁷+7)/9 = 7(2)₈₃₆3_<838> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / May 31, 2006)
(65·10²⁴²⁴+7)/9 = 7(2)₂₄₂₃3_<2425> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Ray Chandler / Primo 3.0.9 / Sep 23, 2010)
(65·10²⁴²⁷+7)/9 = 7(2)₂₄₂₆3_<2428> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Ray Chandler / Primo 3.0.9 / Sep 24, 2010)
(65·10²⁴⁴³+7)/9 = 7(2)₂₄₄₂3_<2444> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Ray Chandler / Primo 3.0.9 / Sep 25, 2010)
(65·10¹⁵⁹²⁵+7)/9 = 7(2)₁₅₉₂₄3_<15926> is PRP. (Ray Chandler / srsieve, PFGW / Sep 9, 2010)
(65·10¹⁶²¹²+7)/9 = 7(2)₁₆₂₁₁3_<16213> is PRP. (Ray Chandler / srsieve, PFGW / Sep 9, 2010)

3. Factorizations of 722...223

Last update

Dec 8, 2011

Completed up to

n≤100 / Dec 6, 2004
n≤150 / Oct 29, 2009

Range

n≤200

Terms which have not been factored yet

n=182, 185, 187, 195, 196, 197, 199, 200 (8/200)

Results

(65·10¹+7)/9 =: 73; = definitely prime number

(65·10²+7)/9 =: 723; = 3 · 241

(65·10³+7)/9 =: 7223; = 31 · 233

(65·10⁴+7)/9 =: 72223; = definitely prime number

(65·10⁵+7)/9 =: 722223; = 3³ · 23 · 1163

(65·10⁶+7)/9 =: 7222223; = 19 · 380117

(65·10⁷+7)/9 =: 72222223; = 97 · 744559

(65·10⁸+7)/9 =: 722222223; = 3 · 240740741

(65·10⁹+7)/9 =: 7222222223_<10>; = 73 · 113 · 263 · 3329

(65·10¹⁰+7)/9 =: 72222222223_<11>; = 463 · 3697 · 42193

(65·10¹¹+7)/9 =: 722222222223_<12>; = 3 · 109 · 2208630649_<10>

(65·10¹²+7)/9 =: 7222222222223_<13>; = definitely prime number

(65·10¹³+7)/9 =: 72222222222223_<14>; = definitely prime number

(65·10¹⁴+7)/9 =: 722222222222223_<15>; = 3² · 17 · 29 · 162772644179_<12>

(65·10¹⁵+7)/9 =: 7222222222222223_<16>; = definitely prime number

(65·10¹⁶+7)/9 =: 72222222222222223_<17>; = 59 · 208409 · 5873572933_<10>

(65·10¹⁷+7)/9 =: 722222222222222223_<18>; = 3 · 73 · 479 · 70241 · 98016803

(65·10¹⁸+7)/9 =: 7222222222222222223_<19>; = 31 · 1931 · 3833 · 4003 · 7863257

(65·10¹⁹+7)/9 =: 72222222222222222223_<20>; = 61 · 127 · 13067701 · 713408209

(65·10²⁰+7)/9 =: 722222222222222222223_<21>; = 3 · 103 · 5717 · 408831335500391_<15>

(65·10²¹+7)/9 =: 7222222222222222222223_<22>; = 1483 · 4870008241552408781_<19>

(65·10²²+7)/9 =: 72222222222222222222223_<23>; = 67 · 3319 · 324779637016284451_<18>

(65·10²³+7)/9 =: 722222222222222222222223_<24>; = 3² · 6341072447_<10> · 12655101207401_<14>

(65·10²⁴+7)/9 =: 7222222222222222222222223_<25>; = 19 · 19433 · 19560384864114006349_<20>

(65·10²⁵+7)/9 =: 72222222222222222222222223_<26>; = 73 · 181 · 5465997292229033695771_<22>

(65·10²⁶+7)/9 =: 722222222222222222222222223_<27>; = 3 · 313 · 3643 · 5493647 · 38431322861017_<14>

(65·10²⁷+7)/9 =: 7222222222222222222222222223_<28>; = 23 · 314009661835748792270531401_<27>

(65·10²⁸+7)/9 =: 72222222222222222222222222223_<29>; = 89 · 523 · 1551597787660262148413909_<25>

(65·10²⁹+7)/9 =: 722222222222222222222222222223_<30>; = 3 · 1291 · 186476174082680666724043951_<27>

(65·10³⁰+7)/9 =: 7222222222222222222222222222223_<31>; = 17 · 3738553813_<10> · 113636615268158918563_<21>

(65·10³¹+7)/9 =: 72222222222222222222222222222223_<32>; = 5030461 · 78362424193_<11> · 183212541032251_<15>

(65·10³²+7)/9 =: 722222222222222222222222222222223_<33>; = 3⁴ · 241 · 11583230989613_<14> · 3194030572153451_<16>

(65·10³³+7)/9 =: 7222222222222222222222222222222223_<34>; = 31 · 73 · 13921 · 29879 · 7672727979982026530719_<22>

(65·10³⁴+7)/9 =: 72222222222222222222222222222222223_<35>; = 6983 · 9511573 · 1087367778905304072934997_<25>

(65·10³⁵+7)/9 =: 722222222222222222222222222222222223_<36>; = 3 · 50587 · 4758944802829595365227049256543_<31>

(65·10³⁶+7)/9 =: 7222222222222222222222222222222222223_<37>; = definitely prime number

(65·10³⁷+7)/9 =: 72222222222222222222222222222222222223_<38>; = 67967 · 1062607180281934206632957497347569_<34>

(65·10³⁸+7)/9 =: 722222222222222222222222222222222222223_<39>; = 3 · 6481 · 1641753375859_<13> · 22625576458509427103479_<23>

(65·10³⁹+7)/9 =: 7222222222222222222222222222222222222223_<40>; = 173 · 11315867 · 3689240007981724109354729384753_<31>

(65·10⁴⁰+7)/9 =: 72222222222222222222222222222222222222223_<41>; = definitely prime number

(65·10⁴¹+7)/9 =: 722222222222222222222222222222222222222223_<42>; = 3² · 47 · 73 · 15053 · 974899681174151_<15> · 1593766264163699779_<19>

(65·10⁴²+7)/9 =: 7222222222222222222222222222222222222222223_<43>; = 19 · 29 · 126319871 · 781488613 · 1080766697_<10> · 122855036915683_<15>

(65·10⁴³+7)/9 =: 72222222222222222222222222222222222222222223_<44>; = 198509593 · 25138726483139_<14> · 14472583886694423847949_<23>

(65·10⁴⁴+7)/9 =: 722222222222222222222222222222222222222222223_<45>; = 3 · 1451243 · 41823289 · 3966352163528276692750023427783_<31>

(65·10⁴⁵+7)/9 =: 7222222222222222222222222222222222222222222223_<46>; = 197 · 36661026508742244782853919909757473209249859_<44>

(65·10⁴⁶+7)/9 =: 72222222222222222222222222222222222222222222223_<47>; = 17 · 163 · 77023 · 578827 · 2080663511184809_<16> · 280972140017414617_<18>

(65·10⁴⁷+7)/9 =: 722222222222222222222222222222222222222222222223_<48>; = 3 · 599 · 6785307283_<10> · 169317303206713_<15> · 349825857464175157721_<21>

(65·10⁴⁸+7)/9 =: 7222222222222222222222222222222222222222222222223_<49>; = 31 · 48353 · 4818210046827812813577449057250490660566961_<43>

(65·10⁴⁹+7)/9 =: 72222222222222222222222222222222222222222222222223_<50>; = 23 · 73 · 8951 · 14591 · 329354450596828443274701281305120697657_<39>

(65·10⁵⁰+7)/9 =: 722222222222222222222222222222222222222222222222223_<51>; = 3² · 179 · 22303 · 4657566334707431_<16> · 4315717149169167078351309301_<28>

(65·10⁵¹+7)/9 =: 7(2)₅₀3_<52>; = 130259 · 413045374521019_<15> · 2626394437179781_<16> · 51109942749212323_<17>

(65·10⁵²+7)/9 =: 7(2)₅₁3_<53>; = 12433 · 22651 · 19482137 · 43190290153_<11> · 45909323221_<11> · 6638713523740601_<16>

(65·10⁵³+7)/9 =: 7(2)₅₂3_<54>; = 3 · 1297 · 21841 · 110829191398965157_<18> · 76680146311899881602392237569_<29>

(65·10⁵⁴+7)/9 =: 7(2)₅₃3_<55>; = 103 · 683 · 1439 · 8237774861_<10> · 8660484851732710028769603315462577513_<37>

(65·10⁵⁵+7)/9 =: 7(2)₅₄3_<56>; = 67 · 167 · 2113 · 110749 · 174289 · 94223970649_<11> · 201747414227_<12> · 8325319433318413_<16>

(65·10⁵⁶+7)/9 =: 7(2)₅₅3_<57>; = 3 · 1100170667_<10> · 218821268337579428247690901888716453790656046223_<48>

(65·10⁵⁷+7)/9 =: 7(2)₅₆3_<58>; = 73 · 419 · 1787 · 17923 · 375955399 · 19609313095833655250867202892715367371_<38>

(65·10⁵⁸+7)/9 =: 7(2)₅₇3_<59>; = 569 · 48187 · 80713 · 217895071 · 15535018493_<11> · 9641087428031720403332138719_<28>

(65·10⁵⁹+7)/9 =: 7(2)₅₈3_<60>; = 3³ · 997 · 1877 · 21288217 · 178388216443267_<15> · 3763935739361067260922145624639_<31>

(65·10⁶⁰+7)/9 =: 7(2)₅₉3_<61>; = 19 · 863 · 53783 · 25827421 · 892162529 · 14473646116481_<14> · 24556047041032590133937_<23>

(65·10⁶¹+7)/9 =: 7(2)₆₀3_<62>; = 127 · 375649470140140458942835553861_<30> · 1513855230312066411926338565309_<31>

(65·10⁶²+7)/9 =: 7(2)₆₁3_<63>; = 3 · 17² · 193 · 241 · 1151 · 15447187397545345727_<20> · 1007285678637086179371771389778869_<34>

(65·10⁶³+7)/9 =: 7(2)₆₂3_<64>; = 31 · 24045913 · 47525676205495852616447729_<26> · 203863547424752524388404443529_<30>

(65·10⁶⁴+7)/9 =: 7(2)₆₃3_<65>; = 317 · 17327899 · 126276668506799_<15> · 104122014371151823348606237294505875287919_<42>

(65·10⁶⁵+7)/9 =: 7(2)₆₄3_<66>; = 3 · 73 · 1273541 · 4685291620040070916134126571_<28> · 552684358805723678922448832747_<30>

(65·10⁶⁶+7)/9 =: 7(2)₆₅3_<67>; = 1364719 · 4493413 · 1177745007167214430006477122149170431743241678131212109_<55>

(65·10⁶⁷+7)/9 =: 7(2)₆₆3_<68>; = 379 · 1741 · 37987 · 2480161 · 22313675497_<11> · 122413169563_<12> · 425322873574424321757331850041_<30>

(65·10⁶⁸+7)/9 =: 7(2)₆₇3_<69>; = 3² · 12527 · 1064399821_<10> · 21077931359_<11> · 285527854253543668731002349271389592256484899_<45>

(65·10⁶⁹+7)/9 =: 7(2)₆₈3_<70>; = 36899 · 103140941807687879_<18> · 36139641775679684348957_<23> · 52509914910006828045679759_<26>

(65·10⁷⁰+7)/9 =: 7(2)₆₉3_<71>; = 29 · 929 · 10061 · 5012383 · 2016450035434001_<16> · 13019560382426503231_<20> · 2024827136279836219351_<22>

(65·10⁷¹+7)/9 =: 7(2)₇₀3_<72>; = 3 · 23 · 409 · 6445577 · 2535759806652379976041408229_<28> · 1565772040737461778544618103918311_<34>

(65·10⁷²+7)/9 =: 7(2)₇₁3_<73>; = 89 · 30713 · 54936431709821353_<17> · 110201980974399143_<18> · 436424127325009304747733737233441_<33>

(65·10⁷³+7)/9 =: 7(2)₇₂3_<74>; = 73 · 829 · 5077 · 170070479 · 1382156938376241543070457699345351180792277501651089788793_<58>

(65·10⁷⁴+7)/9 =: 7(2)₇₃3_<75>; = 3 · 59 · 461 · 877 · 126643057 · 138690833 · 1520532543417469022957_<22> · 377895917849565993060790056451_<30>

(65·10⁷⁵+7)/9 =: 7(2)₇₄3_<76>; = 157 · 71699 · 80809 · 11851257269883373_<17> · 128237131701243062968553_<24> · 5224204179494560276524941_<25>

(65·10⁷⁶+7)/9 =: 7(2)₇₅3_<77>; = 2731279 · 13701886878024481_<17> · 785790770710413528301_<21> · 2455938460668179524827069344891077_<34>

(65·10⁷⁷+7)/9 =: 7(2)₇₆3_<78>; = 3² · 378842691653_<12> · 211821200060918345499945870590340253086088252696503215814793992299_<66>

(65·10⁷⁸+7)/9 =: 7(2)₇₇3_<79>; = 17 · 19 · 31 · 75500262437478127673661767_<26> · 9553404571295675539736130530707477331209622521613_<49>

(65·10⁷⁹+7)/9 =: 7(2)₇₈3_<80>; = 61 · 1723 · 40581189913880153_<17> · 16932884949075151642085127958513172279980729228374189195497_<59>

(65·10⁸⁰+7)/9 =: 7(2)₇₉3_<81>; = 3 · 354120780467_<12> · 679826641134309314836080194763750632724996243536364895076923570370023_<69>

(65·10⁸¹+7)/9 =: 7(2)₈₀3_<82>; = 73 · 7267101790618552784327895840414142813393_<40> · 13614031265815600052033650029333909685607_<41> (Makoto Kamada / GGNFS-0.70.1 / 0.10 hours)

(65·10⁸²+7)/9 =: 7(2)₈₁3_<83>; = 173 · 487 · 14842652449_<11> · 1311118805307242835844646828572033_<34> · 44049625257628859246363945969055869_<35>

(65·10⁸³+7)/9 =: 7(2)₈₂3_<84>; = 3 · 1821553 · 196860437 · 346799160836426008170589_<24> · 1935848194213043410787430779584972404766411829_<46>

(65·10⁸⁴+7)/9 =: 7(2)₈₃3_<85>; = 15149 · 15189155537_<11> · 57768740113793_<14> · 236483219004668107057_<21> · 2297523847392349680423860031382508971_<37>

(65·10⁸⁵+7)/9 =: 7(2)₈₄3_<86>; = 12503 · 47699 · 121100891922917844730321134545935306849398090364469423243530208650001103611059_<78>

(65·10⁸⁶+7)/9 =: 7(2)₈₅3_<87>; = 3³ · 191 · 69847 · 618851040877_<12> · 11687836760260312446753817_<26> · 277207958990107515211816805560934955497393_<42>

(65·10⁸⁷+7)/9 =: 7(2)₈₆3_<88>; = 47 · 4463 · 211219 · 1378889282933595873443_<22> · 4402263288740041606521085421_<28> · 26853921250230288495426548099_<29>

(65·10⁸⁸+7)/9 =: 7(2)₈₇3_<89>; = 67 · 103 · 1493 · 8761 · 28251212731229_<14> · 28320977329307891473929385466871756205877404890343867912214861419_<65>

(65·10⁸⁹+7)/9 =: 7(2)₈₈3_<90>; = 3 · 73 · 1943371 · 145836073 · 110308630057_<12> · 1149890544181_<13> · 75956310818687083703_<20> · 1207747637524456286535881809549_<31>

(65·10⁹⁰+7)/9 =: 7(2)₈₉3_<91>; = definitely prime number

(65·10⁹¹+7)/9 =: 7(2)₉₀3_<92>; = 673 · 270799 · 27344756304754503279674419_<26> · 14492211696159269954769635192488541341936228586974160714971_<59>

(65·10⁹²+7)/9 =: 7(2)₉₁3_<93>; = 3 · 241 · 220897 · 296249754331_<12> · 6886088645714809_<16> · 313253064852103601669_<21> · 7076472044321792011704997535407108283_<37>

(65·10⁹³+7)/9 =: 7(2)₉₂3_<94>; = 23 · 31 · 21100853 · 139712471 · 3435944432219063620395989242474819375037150420925422590437768124199939905117_<76>

(65·10⁹⁴+7)/9 =: 7(2)₉₃3_<95>; = 17 · 6043 · 24767 · 1299763 · 1568734231_<10> · 3227864803_<10> · 26875984957_<11> · 160473253823071581414412227801497057714039251194673_<51>

(65·10⁹⁵+7)/9 =: 7(2)₉₄3_<96>; = 3² · 149 · 1399 · 228891431 · 828324181 · 1432171985639_<13> · 29626898526223_<14> · 47853434869068274602109132947063988996825278391_<47>

(65·10⁹⁶+7)/9 =: 7(2)₉₅3_<97>; = 19 · 14129579 · 2410585926653291_<16> · 11160031168659277406766275891168082554378347842768829477504895019147529853_<74>

(65·10⁹⁷+7)/9 =: 7(2)₉₆3_<98>; = 73 · 5039 · 51769 · 970614646759_<12> · 19530279363654217208507_<23> · 200068426540540220761824404788851839220145606415102197_<54>

(65·10⁹⁸+7)/9 =: 7(2)₉₇3_<99>; = 3 · 29 · 431329 · 399486389 · 182441274092805005768324299214077_<33> · 264069262550179658562403706956983406336713682083017_<51> (Makoto Kamada / GGNFS-0.71.3 / 0.40 hours)

(65·10⁹⁹+7)/9 =: 7(2)₉₈3_<100>; = 1745839 · 4136820303717709492239675148866660798746174316315663828235147812726272137477867215832744154657_<94>

(65·10¹⁰⁰+7)/9 =: 7(2)₉₉3_<101>; = 2139536984161_<13> · 886619979419469047351424227_<27> · 1555463925739597937631255539_<28> · 24476740979509144463937528896593831_<35>

(65·10¹⁰¹+7)/9 =: 7(2)₁₀₀3_<102>; = 3 · 223 · 337 · 3203426976896391807703699761024347523529171145303997827583674744723832560321762062257864043602091_<97>

(65·10¹⁰²+7)/9 =: 7(2)₁₀₁3_<103>; = 1104359688525697_<16> · 23338446801015060919_<20> · 280213046425800199440706646409985007304163585841236762138161916518761_<69>

(65·10¹⁰³+7)/9 =: 7(2)₁₀₂3_<104>; = 97 · 127 · 75645613959247_<14> · 133834467963197441977257751_<27> · 579086796789157746892462623117374922256133201429540188520761_<60>

(65·10¹⁰⁴+7)/9 =: 7(2)₁₀₃3_<105>; = 3² · 4231 · 19882913 · 680525819 · 1268612179_<10> · 2318419091_<10> · 3046827664247243_<16> · 7917558047884483495113979_<25> · 19756077732675056111578387_<26>

(65·10¹⁰⁵+7)/9 =: 7(2)₁₀₄3_<106>; = 73 · 331 · 4003 · 1708051 · 2548891 · 528872561605891_<15> · 32147000355179341_<17> · 1008766878616463193383331130756902092443924195795987217_<55>

(65·10¹⁰⁶+7)/9 =: 7(2)₁₀₅3_<107>; = 115671654540759883343162689_<27> · 624372691036185223519308718378389175848497148160868604716701918912045378336230607_<81>

(65·10¹⁰⁷+7)/9 =: 7(2)₁₀₆3_<108>; = 3 · 4467017 · 7068773 · 2135024090768456951927_<22> · 3570961534231654929191942792241701102701490120786912535224211904997527663_<73>

(65·10¹⁰⁸+7)/9 =: 7(2)₁₀₇3_<109>; = 31 · 761 · 104107 · 173827 · 103330427502481_<15> · 163719007680618115791398187740478311981709337034926535406894404110411893612428617_<81>

(65·10¹⁰⁹+7)/9 =: 7(2)₁₀₈3_<110>; = 48552455567665044230737_<23> · 6376789002808163576711974091_<28> · 233269307756151100843385821901713256001844816280942522247869_<60>

(65·10¹¹⁰+7)/9 =: 7(2)₁₀₉3_<111>; = 3 · 17 · 13636523 · 3617318911_<10> · 1047623618501624719759_<22> · 274034310418708142315718866209847286533803772708894124189467552004189199_<72>

(65·10¹¹¹+7)/9 =: 7(2)₁₁₀3_<112>; = 1647861400515635430345417829_<28> · 4382784996336647605511443153524611410158762183163412617270693408082024654415007925987_<85>

(65·10¹¹²+7)/9 =: 7(2)₁₁₁3_<113>; = 2971 · 10211 · 475621351756291503710460361_<27> · 19721810278846710918176549761123227751_<38> · 253800106323464809682348708490461392560353_<42> (Lionel Debroux / msieve 1.44 SVN for P38*P42 / Oct. 25, 2009)

(65·10¹¹³+7)/9 =: 7(2)₁₁₂3_<114>; = 3⁵ · 73 · 5449 · 7471794272618867651440185644706280485301406416180787092809670631594988554469884306128244159532054353201893_<106>

(65·10¹¹⁴+7)/9 =: 7(2)₁₁₃3_<115>; = 19 · 88499 · 4295155414912343477102757760701561434367811603117859923616277687480395093505202986071339623951874699876015383_<109>

(65·10¹¹⁵+7)/9 =: 7(2)₁₁₄3_<116>; = 23 · 368059 · 348606348113789_<15> · 4367699140032287_<16> · 19540843744648011957791_<23> · 286743941607327711670546923409830980921033313287375092903_<57>

(65·10¹¹⁶+7)/9 =: 7(2)₁₁₅3_<117>; = 3 · 89 · 32042500218871_<14> · 25523986097716162061_<20> · 69959894950390488970639_<23> · 47275435887012192608266908079178082662110973251248197613641_<59>

(65·10¹¹⁷+7)/9 =: 7(2)₁₁₆3_<118>; = 941708326253_<12> · 3336018870473_<13> · 2343841767581441638471_<22> · 490645953006245888267326269953254327_<36> · 1999076565522164905977790802383066451_<37> (Lionel Debroux / GMP-ECM 6.2.3 B1=1e6, sigma=940991281 for P37 / Oct 25, 2009)

(65·10¹¹⁸+7)/9 =: 7(2)₁₁₇3_<119>; = 5465821741503353_<16> · 48122455286018343604803251167_<29> · 13379171320902575877436121760164897381_<38> · 20522884018649102487238237864493719333_<38> (Lionel Debroux / msieve 1.44 SVN for P38*P38 / Oct. 25, 2009)

(65·10¹¹⁹+7)/9 =: 7(2)₁₁₈3_<120>; = 3 · 109 · 1997 · 16803789447450562717512901379_<29> · 65816956906437463993345522666142199627471346584194095346795538624682106342774011598623_<86>

(65·10¹²⁰+7)/9 =: 7(2)₁₁₉3_<121>; = 2707 · 8220370427_<10> · 324557166553762793419405567301714250583770679706799057222207702374269928621206486561361716223463057390009007_<108>

(65·10¹²¹+7)/9 =: 7(2)₁₂₀3_<122>; = 67 · 73 · 113 · 131 · 7220383691_<10> · 5921356537322220596497531_<25> · 2587117093322912945793111652730457857_<37> · 9018324779283307163954762307635464904735383_<43> (Lionel Debroux / msieve 1.44 SVN for P37*P43 / Oct. 25, 2009)

(65·10¹²²+7)/9 =: 7(2)₁₂₁3_<123>; = 3² · 103 · 241 · 1237726493_<10> · 38487393601_<11> · 11234321827921433174867669812024514743374959_<44> · 6040654844216834979500238535767959586811972858326905147_<55> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 2.78 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Oct 27, 2009)

(65·10¹²³+7)/9 =: 7(2)₁₂₂3_<124>; = 31 · 433341079 · 31760089599647095470964140303933168837398685341_<47> · 16927685203118105408193075223017693529147950521552388939439515578947_<68> (Serge Batalov / Msieve 1.44 snfs / 1.07 hours / Oct 28, 2009)

(65·10¹²⁴+7)/9 =: 7(2)₁₂₃3_<125>; = 23627 · 122179984837067_<15> · 2779713843164198342229108373215405036999849001718309_<52> · 9000406178344471728392191196472373929710255397699359483_<55> (Serge Batalov / Msieve 1.44 snfs / 1.10 hours / Oct 28, 2009)

(65·10¹²⁵+7)/9 =: 7(2)₁₂₄3_<126>; = 3 · 173 · 283 · 13636797043287202559788933_<26> · 360582526095811788400863483301402176341644637537594096977895022943875444937132746231379829165503_<96>

(65·10¹²⁶+7)/9 =: 7(2)₁₂₅3_<127>; = 17 · 29 · 581857 · 815120503 · 3849942703_<10> · 1120248600409_<13> · 1358599685893_<13> · 27097103407761926765312764768156489_<35> · 194537259061992508956119121207741555119879_<42> (Lionel Debroux / msieve 1.44 SVN for P35*P42 / Oct. 25, 2009)

(65·10¹²⁷+7)/9 =: 7(2)₁₂₆3_<128>; = 163 · 557 · 7727 · 26350073 · 5581546961_<10> · 2197710330450979_<16> · 318500618458187639225381964031216595890943788587942632664505796190927158493256990742197_<87>

(65·10¹²⁸+7)/9 =: 7(2)₁₂₇3_<129>; = 3 · 887 · 2819 · 3413 · 18911 · 290161 · 430044619 · 5155229237_<10> · 128213267940226839829_<21> · 18086169854820276681652758921202317387359525680928557391983583706544097_<71>

(65·10¹²⁹+7)/9 =: 7(2)₁₂₈3_<130>; = 73 · 2221 · 2567729 · 85683277507409068791600540542053437197885827_<44> · 202466964608723252374887795280215191067174586508857815139998546556449041857_<75> (Erik Branger / GGNFS, Msieve snfs / 2.64 hours / Oct 27, 2009)

(65·10¹³⁰+7)/9 =: 7(2)₁₂₉3_<131>; = 46485863897376296550853545500186122961951356602030151_<53> · 1553638378791073916029398963967193954361536667650255332339812815429978361841273_<79> (Dmitry Domanov / Msieve 1.40 snfs / 2.03 hours / Oct 27, 2009)

(65·10¹³¹+7)/9 =: 7(2)₁₃₀3_<132>; = 3² · 675025572493_<12> · 4054437448493_<13> · 49036276981514103798397_<23> · 125187439964801821478293_<24> · 4776384271080261551953496953227096860808285193942285270050143_<61>

(65·10¹³²+7)/9 =: 7(2)₁₃₁3_<133>; = 19 · 59 · 5827 · 438608021083_<12> · 2520830512175147532743208338995139655353451630175060296920462253544345957396170394967315778371418166656187146638143_<115>

(65·10¹³³+7)/9 =: 7(2)₁₃₂3_<134>; = 47 · 3943 · 528612644701263548693344201_<27> · 737239616804806287255676552353356922110729450249995279906308565558788223354645391466268014077702542463_<102>

(65·10¹³⁴+7)/9 =: 7(2)₁₃₃3_<135>; = 3 · 4451 · 1140431 · 47426708416484767128359144997142762519527598148154699235863800586327563110969022706506326279532351332257212811741445717769561_<125>

(65·10¹³⁵+7)/9 =: 7(2)₁₃₄3_<136>; = 33773 · 18406841 · 78459019 · 148074090104378867922348737580090769062599134857469400005495348568221425862041298481752369505114826179278234501868969_<117>

(65·10¹³⁶+7)/9 =: 7(2)₁₃₅3_<137>; = 3391 · 1661857 · 9825019 · 140453339626163_<15> · 362067337188847_<15> · 139532183256044539_<18> · 278169233593963906671250133_<27> · 660862495563979541513066417588027952127687106713_<48>

(65·10¹³⁷+7)/9 =: 7(2)₁₃₆3_<138>; = 3 · 23 · 73 · 30871 · 1386083 · 720941959457_<12> · 190061403203275865525088244967_<30> · 1244841026681448907106941991207_<31> · 19644945785038727533820766473773169516200342274306591_<53> (Jo Yeong Uk / GMP-ECM v6.2.3/YAFU v1.10 B1=1000000, sigma=6061696595 for P30, Msieve 1.38 for P31 x P53 / Oct 28, 2009)

(65·10¹³⁸+7)/9 =: 7(2)₁₃₇3_<139>; = 31 · 229 · 33461 · 1259007165190111865378078821_<28> · 241431719926832113054176853658594117687436004218661_<51> · 100025844120941294664361239378525121327867816498537297_<54> (Erik Branger / GGNFS, Msieve snfs / 5.45 hours / Oct 28, 2009)

(65·10¹³⁹+7)/9 =: 7(2)₁₃₈3_<140>; = 61 · 85302739 · 16010157471257760533_<20> · 31231795773474726396352392823_<29> · 245961567329597422352922872995680923851_<39> · 112854329410956972004829851094400072912837593_<45> (Lionel Debroux / msieve 1.44 SVN for P39*P45 / Oct. 25, 2009)

(65·10¹⁴⁰+7)/9 =: 7(2)₁₃₉3_<141>; = 3³ · 62547324597825074395248779_<26> · 22106601597297777135014061131159201_<35> · 19345339717907152871106612963136797155474171896145552677486729052119091953982231_<80> (Jo Yeong Uk / GMP-ECM 6.2.3 B1=1000000, sigma=534140875 for P35 / Oct 27, 2009)

(65·10¹⁴¹+7)/9 =: 7(2)₁₄₀3_<142>; = 1407927869_<10> · 12049710125367851790960582688070194854908188364815339_<53> · 425709990455910147905908526532864228292366077716772356573508558892819462447043953_<81> (Erik Branger / GGNFS, Msieve snfs / 11.54 hours / Oct 27, 2009)

(65·10¹⁴²+7)/9 =: 7(2)₁₄₁3_<143>; = 17 · 503 · 137605056912091_<15> · 80839574892763411_<17> · 759268749821277246389657410753053284229251071969085309432582122803468041432127163540403665895510032550902873_<108>

(65·10¹⁴³+7)/9 =: 7(2)₁₄₂3_<144>; = 3 · 197 · 317 · 113041 · 7987418017_<10> · 4269546026999717202368307692724778343171876543006770392142157314228305714142964675434895170215571515207425939392509626868197_<124>

(65·10¹⁴⁴+7)/9 =: 7(2)₁₄₃3_<145>; = 28789 · 414799566017_<12> · 52733952797917_<14> · 11468738436178320755292774824420826662184285949086045743801989665061012525437720544380017891777279945308001323670863_<116>

(65·10¹⁴⁵+7)/9 =: 7(2)₁₄₄3_<146>; = 73 · 127 · 215020535686146100995565648128067_<33> · 36229665693495144004165159106176063374327069676193814029155021451148871281621766835872766224697315800096474339_<110> (Erik Branger / GGNFS, Msieve snfs / 8.81 hours / Oct 29, 2009)

(65·10¹⁴⁶+7)/9 =: 7(2)₁₄₅3_<147>; = 3 · 1319 · 182517619970235588127930811782214359924746581304579788279560834526717771600258332631342487293965686687445595709431949007384943700334147642714739_<144>

(65·10¹⁴⁷+7)/9 =: 7(2)₁₄₆3_<148>; = 258487 · 27940369234128688182470384283241409518553049949213005769041469096017293799000422544353186900007436436734621943162411348432308867456476427140329_<143>

(65·10¹⁴⁸+7)/9 =: 7(2)₁₄₇3_<149>; = 701 · 3755550574749161555183061499920779_<34> · 46814150630339904680428759046932495299316986541_<47> · 586006004706828862487443318948487124438444839144237964283793539957_<66> (Erik Branger / GGNFS, Msieve snfs / 25.27 hours / Oct 29, 2009)

(65·10¹⁴⁹+7)/9 =: 7(2)₁₄₈3_<150>; = 3² · 105819244784386683109998203139936629_<36> · 758339503780763218629421606198547022990365677947048506292345087129713241005798463428316768844290881088734441938843_<114> (Sinkiti Sibata / Msieve 1.40 snfs / 17.34 hours / Oct 28, 2009)

(65·10¹⁵⁰+7)/9 =: 7(2)₁₄₉3_<151>; = 19 · 3907 · 97291261598240973990303803190255307238320184045131171072464028427009850366039661905382002912750693387337467463556938588258890550324279258850137031_<146>

(65·10¹⁵¹+7)/9 =: 7(2)₁₅₀3_<152>; = 895771 · 18941749 · 6817556065043_<13> · 624345597015935324913732133757879192839597070326913566435006197131122334646916035320223750332957273944684705246740164291883059_<126>

(65·10¹⁵²+7)/9 =: 7(2)₁₅₁3_<153>; = 3 · 241 · 27347519063_<11> · 1725333177913_<13> · 10514619222825497091683354104111810879_<38> · 2013483581578352610412684711209758302904144260026256812619717594875763736046702067763469301_<91> (Jo Yeong Uk / GMP-ECM 6.2.3 B1=1000000, sigma=6792566349 for P38 / Nov 8, 2009)

(65·10¹⁵³+7)/9 =: 7(2)₁₅₂3_<154>; = 31 · 73 · 157 · 487657 · 1758247 · 19865163793_<11> · 38044415131_<11> · 31369618057022947583994604017659537435603521100698501114050764378308361697756181042609386072879103324351540516891529_<116>

(65·10¹⁵⁴+7)/9 =: 7(2)₁₅₃3_<155>; = 29 · 67 · 995847497 · 37325463591161035001291083170755365579684538753402737298855203870329497733612043005723221881943970780288218314209170345555997536315164707760513_<143>

(65·10¹⁵⁵+7)/9 =: 7(2)₁₅₄3_<156>; = 3 · 9007 · 1081789 · 8911250809018619_<16> · 142782376236086436331_<21> · 7392507812931635296203627398671630725771305605141003_<52> · 2626768526217301127090637292882797495139799918052500317901_<58> (Dmitry Domanov / GGNFS/msieve gnfs for P52 x P58 / 15.75 hours / Nov 7, 2009)

(65·10¹⁵⁶+7)/9 =: 7(2)₁₅₅3_<157>; = 103 · 5987 · 7031297053478820252836704940982133_<34> · 216618954992476495307119418561129767797475183_<45> · 7689400150761544910067260025642464616112812856275284452144717121553857737_<73> (Dmitry Domanov / GGNFS/msieve snfs / 20.84 hours / Nov 11, 2009)

(65·10¹⁵⁷+7)/9 =: 7(2)₁₅₆3_<158>; = 9679 · 1876797653_<10> · 340269928723054252687708121264854816897562029160532745490903501797972559_<72> · 11684209505564680196886999355587721293576873890219180545631517614669025331_<74> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs / 16.06 hours on Core 2 Quad Q6700 / Nov 15, 2009)

(65·10¹⁵⁸+7)/9 =: 7(2)₁₅₇3_<159>; = 3² · 17 · 130069 · 3068641 · 217066451893410829_<18> · 54483729023915241736347160491767888764837008497564285812998293096106377119242374680468739292532107683203703985476577110921723351_<128>

(65·10¹⁵⁹+7)/9 =: 7(2)₁₅₈3_<160>; = 23 · 971 · 18793 · 1953853962358201528535638767049885845979_<40> · 8807153537009589409364235375690005448212234630799533315826453435493873992751942939736651790454264854292839358073_<112> (Dmitry Domanov / GGNFS/msieve snfs / 22.98 hours / Nov 13, 2009)

(65·10¹⁶⁰+7)/9 =: 7(2)₁₅₉3_<161>; = 89 · 691 · 1063 · 30689 · 80147 · 345231714617358424861_<21> · 20357986503829909242696372348001111417687352381_<47> · 63907821471927606482939461715126003027541213468536152840468146898123845327793_<77> (Sinkiti Sibata / Msieve 1.40 snfs / 26.08 hours / Nov 19, 2009)

(65·10¹⁶¹+7)/9 =: 7(2)₁₆₀3_<162>; = 3 · 73 · 4787 · 197829613 · 123623015233_<12> · 46276777179460717_<17> · 63995894158538638194695901113_<29> · 2848409643006055036625993604980263881331_<40> · 3339296686306871044335539412177570631478147640034229_<52> (Sinkiti Sibata / Msieve 1.42 for P40 x P52 / 1.94 hours / Oct 27, 2009)

(65·10¹⁶²+7)/9 =: 7(2)₁₆₁3_<163>; = 811 · 121061 · 198058351 · 266091649 · 70143921437_<11> · 37671425282017_<14> · 608702377991802436498808423_<27> · 19889415466858886754927823780921_<32> · 43630703993256705057707577612318596188561699205048921341_<56> (Lionel Debroux / GMP-ECM 6.2.3 B1=1e6, sigma=4121488184 for P32 / Oct 22, 2009)

(65·10¹⁶³+7)/9 =: 7(2)₁₆₂3_<164>; = 23291 · 214849 · 16175813 · 813256512052658243117005216012106187806335489002678159581152113487081_<69> · 1097123981090889200601269157296277423248544642116547145585024451148021609609649_<79> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs / 24.00 hours on Core 2 Quad Q6700 / Nov 23, 2009)

(65·10¹⁶⁴+7)/9 =: 7(2)₁₆₃3_<165>; = 3 · 463 · 318367494417001_<15> · 339756461259298824679_<21> · 4806978252931231337890896691819183090237522303150543849511020841754717653525331276908280348124518128344441975699472828757742933_<127>

(65·10¹⁶⁵+7)/9 =: 7(2)₁₆₄3_<166>; = 709 · 67751 · 1829671 · 312974659587106130775379744870042305659798659750210394695905699474058989043_<75> · 262558886508076207744801887760311254273758547653064352203241793866965567029249_<78> (JPascoa / ggnfs, Msieve 1.43 snfs / 48.54 hours on i7 860, Windows 7 64-bit / Nov 29, 2009)

(65·10¹⁶⁶+7)/9 =: 7(2)₁₆₅3_<167>; = 2017 · 12818053 · 135517589933717674040089_<24> · 38193230406948684571552583999784827600729778787_<47> · 539710445834430443984846773683208596167589324890419490136744654630000672122515072536361_<87> (Sinkiti Sibata / Msieve 1.40 snfs / 47.56 hours on Core i7 2.93GHz,Windows 7 64bit,and Cygwin / Jan 20, 2010)

(65·10¹⁶⁷+7)/9 =: 7(2)₁₆₆3_<168>; = 3³ · 7577 · 4008354697856855194048873_<25> · 19411558761990809387248741_<26> · 45371510684940681753280435125581945553039598208421139250579251505650535850730469122302607238342351527658346832409_<113>

(65·10¹⁶⁸+7)/9 =: 7(2)₁₆₇3_<169>; = 19 · 31 · 173 · 34081259287_<11> · 34684862400710663129_<20> · 407472492373182348128619759077424424756614058339612861_<54> · 147148400007041730925598805726120104816302456398803867508118771308307372532341853_<81> (Markus Tervooren / Msieve 1.44 for P54 x P81 / Jan 26, 2010)

(65·10¹⁶⁹+7)/9 =: 7(2)₁₆₈3_<170>; = 73 · 27226757 · 213055681 · 776278541 · 8265698252550649_<16> · 13193952074424720690129767_<26> · 55241124629736614162345753_<26> · 520293930119508856725925097_<27> · 70093161980368881996025492421179808228692485622361_<50>

(65·10¹⁷⁰+7)/9 =: 7(2)₁₆₉3_<171>; = 3 · 2437 · 2199717853_<10> · 146167062568393_<15> · 10970263346179685245699499_<26> · 2614403365790788494800302964302827677_<37> · 10712428033322737713678330925701584062078232976487598477601432282608883578078282579_<83> (Lionel Debroux / GMP-ECM 6.2.3 B1=1e6, sigma=3638422646 for P37 / Oct 22, 2009)

(65·10¹⁷¹+7)/9 =: 7(2)₁₇₀3_<172>; = 47689082578563598865205307_<26> · 151443932902761168178914456049405378240433899606666547631441253491608060025062919614394669540384077043629034987493583670688771935814406586974105789_<147>

(65·10¹⁷²+7)/9 =: 7(2)₁₇₁3_<173>; = 257 · 809 · 6563 · 7321 · 1123872308281744993_<19> · 16755539813811419577324028768476793049_<38> · 2033261506695711968567171206558801965737_<40> · 188819897611386026982238522704043786485667381321427555249205867653_<66> (Wataru Sakai / GMP-ECM 6.2.1 B1=3000000, sigma=3638956364 for P38, B1=3000000, sigma=2005714314 for P40 / Dec 9, 2009)

(65·10¹⁷³+7)/9 =: 7(2)₁₇₂3_<174>; = 3 · 6133816781551297_<16> · 84811218005025053_<17> · 3979727689761778198243_<22> · 116281904462216665244294013132831549062335597797984293150230906426327689422486669913210788179296652653158285740942635107_<120>

(65·10¹⁷⁴+7)/9 =: 7(2)₁₇₃3_<175>; = 17 · 3919 · 28045218294644002661656500892213117_<35> · 3865341215601827188809187731591195001845176710932875113565226610209954285454175288779980587070108534688701518416552656964627055137706053_<136> (Ignacio Santos / GGNFS, Msieve snfs / 77.49 hours / Nov 5, 2009)

(65·10¹⁷⁵+7)/9 =: 7(2)₁₇₄3_<176>; = 1813937 · 4195212401_<10> · 8978122293643939_<16> · 15221138798393627576123_<23> · 69448365837569111628058125082393593134659139626911727444061707182884434213101752847622740233546184574777810623460843583807_<122>

(65·10¹⁷⁶+7)/9 =: 7(2)₁₇₅3_<177>; = 3² · 4442942910712936991397591050639207179_<37> · 18061657597884841998286548530250959539096033255123941595949495422393933276866461274947045522461378351677425535396899275108324213821248779493_<140> (Dmitry Domanov / ECMNET, GMP-ECM B1=11000000, sigma=1661063128 for P37 / Oct 28, 2009)

(65·10¹⁷⁷+7)/9 =: 7(2)₁₇₆3_<178>; = 73 · 27479 · 145666811687_<12> · 1648986476833_<13> · 14988885924130845128334354132219517140024532817338420813677429530950869654315764609811440385657600076360472179309620104806944913051780601101069778039_<149>

(65·10¹⁷⁸+7)/9 =: 7(2)₁₇₇3_<179>; = 4546037810993042721512544690503200646940652284786594915763822514701850550736979210131_<85> · 15886850313382215611347659103956660765448868131186254125303005503365575849391011481816610070933_<95> (Dmitry Domanov / GGNFS/msieve snfs / 138.67 hours / Nov 3, 2009)

(65·10¹⁷⁹+7)/9 =: 7(2)₁₇₈3_<180>; = 3 · 47 · 5122143420015760441292356185973207249802994483845547675334909377462568951930654058313632781717888100866824271079590228526398739164696611505122143420015760441292356185973207249803_<178>

(65·10¹⁸⁰+7)/9 =: 7(2)₁₇₉3_<181>; = 23473 · 1542521957_<10> · 199466925519235616064401462440898623858720701073419432077755374951906113083087875101737986391723531715246782214287320681091466831248973989304127802688414499518866117843_<168>

(65·10¹⁸¹+7)/9 =: 7(2)₁₈₀3_<182>; = 23 · 191 · 198749197 · 47803966891_<11> · 1730375368286201619342182933531984364397008024474858243936237601052889706631564126689580386654473446462639489751154986313910398621513954843621650848872715623993_<160>

(65·10¹⁸²+7)/9 =: 7(2)₁₈₁3_<183>; = 3 · 29 · 241 · 1496203 · 8715152283199949_<16> · [2641612133315706428642348518340379880734437609588052470800585732661239403723045498591927742547718898153510375051891667268833036527731008998514728812305282327_<157>] SUBMIT/RESERVE

(65·10¹⁸³+7)/9 =: 7(2)₁₈₂3_<184>; = 31 · 232974910394265232974910394265232974910394265232974910394265232974910394265232974910394265232974910394265232974910394265232974910394265232974910394265232974910394265232974910394265233_<183>

(65·10¹⁸⁴+7)/9 =: 7(2)₁₈₃3_<185>; = 60719 · 171726193 · 51058810193_<11> · 228486884552752127332609_<24> · 21849812748236144008464710337280850879_<38> · 27172525737692482212391401687104134737901694575685983842308802500321577962738259082419630105067070303_<101> (Wataru Sakai / GMP-ECM 6.2.1 B1=3000000, sigma=3570817345 for P38 / Oct 28, 2009)

(65·10¹⁸⁵+7)/9 =: 7(2)₁₈₄3_<186>; = 3² · 73 · 1013 · 111182453 · 3096988597_<10> · 315390301151_<12> · [9992446704268870091349555229592036018757643712556585565191313293208836305561679227859167928740895364038098122944741172457685676504373513938077406528133_<151>] SUBMIT/RESERVE

(65·10¹⁸⁶+7)/9 =: 7(2)₁₈₅3_<187>; = 19 · 571 · 15749 · 67369 · 686611 · 305474471 · 2991454322611256234312977936214960247321829791699689327120247361159633901605587379744060756440710629261118190886552566436631895961724969697080743379509028297807_<160>

(65·10¹⁸⁷+7)/9 =: 7(2)₁₈₆3_<188>; = 67 · 127 · 267817017156599_<15> · 29811014255378266551917_<23> · [1063108039973289495008722644717309009995319086930738440376172409901464563665049488603438861011183010708304884647593099827926970051983811048405823409_<148>] SUBMIT/RESERVE

(65·10¹⁸⁸+7)/9 =: 7(2)₁₈₇3_<189>; = 3 · 8861 · 65413 · 1138313480230062656887_<22> · 4936904042105335591272083_<25> · 54844619696574357771146978801_<29> · 1138013643656600919904580369595610705548818987_<46> · 1184144563479191562090572761473075877638386411991788655406931_<61> (Erik Branger / GGNFS, Msieve gnfs for P46 x P61 / 9.28 hours / Nov 3, 2009)

(65·10¹⁸⁹+7)/9 =: 7(2)₁₈₈3_<190>; = 71563 · 3914579 · 1626286325407_<13> · 3112855737619343_<16> · 5092619661301806359330556638163002059627727466387169225038511667325842042605436405711166823064674107931951985202608673302725836672656754594061668217199_<151>

(65·10¹⁹⁰+7)/9 =: 7(2)₁₈₉3_<191>; = 17 · 59 · 103 · 6011 · 110281 · 810549436667_<12> · 1125598782027127_<16> · 1155905002344859481292816657202914564515593770387020389903087311145948897760436870485726585771829539003466236074139961419518423706080531310044186898413_<151>

(65·10¹⁹¹+7)/9 =: 7(2)₁₉₀3_<192>; = 3 · 20963773 · 3233333699_<10> · 3551645535264253385761693324673394370498267248817115348604189098767082458576532102266353699256258397970537860509588810475087872793654449364836200245892772267163502211568182883_<175>

(65·10¹⁹²+7)/9 =: 7(2)₁₉₁3_<193>; = 563 · 4003 · 118834665715891285931165470846193431620288838834047092736312205484095567675973_<78> · 26967066953625848663939436195401563148230353806727837165947530112005691081992771892268095959171730752991762459_<110> (Robert Backstrom / Msieve 1.42 snfs / Feb 22, 2010)

(65·10¹⁹³+7)/9 =: 7(2)₁₉₂3_<194>; = 73 · 25104437 · 458595477246846673_<18> · 85934535447733606564723680107806795582323091720138088510466991635267493223393785343855388435118836433228008672747481890051889544290736202463898961368252572233295201451_<167>

(65·10¹⁹⁴+7)/9 =: 7(2)₁₉₃3_<195>; = 3⁴ · 7884797231020992193_<19> · 2877176822753658311521667_<25> · 7624190601160779016659090250310483321_<37> · 273052063919366325763016102592425759636306414864987143_<54> · 188794586580741684905644457692277873007482836138123024351931_<60> (Wataru Sakai / GMP-ECM 6.2.1 B1=3000000, sigma=1441488083 for P37 / Oct 28, 2009) (Erik Branger / GGNFS, Msieve gnfs for P54 x P60 / 26.12 hours / Nov 4, 2009)

(65·10¹⁹⁵+7)/9 =: 7(2)₁₉₄3_<196>; = 13399 · 1363818349_<10> · [395222745611455244377133055398643621737601874661068091978907552810240494204375378168328192925530037816824981979904904130557048375217351994808537991854682219862901449462369674881544973_<183>] SUBMIT/RESERVE

(65·10¹⁹⁶+7)/9 =: 7(2)₁₉₅3_<197>; = 467 · 827 · 99881 · 511155270257_<12> · 7891530156453566598037_<22> · [464142686722745340584875603187502457411514811527611553534963221118191014197348831891220028736852891836264497194345563592210127154892374031093028232828843_<153>] SUBMIT/RESERVE

(65·10¹⁹⁷+7)/9 =: 7(2)₁₉₆3_<198>; = 3 · 4729 · 60579262253_<11> · 57540084239270827643_<20> · [14604470136743711992003208442234116616943504198812624154110250744937150951805482471954106894529188169138921637084253036229448338429620819716492322387366000127131251_<164>] SUBMIT/RESERVE

(65·10¹⁹⁸+7)/9 =: 7(2)₁₉₇3_<199>; = 31 · 43113107 · 1857422443646461804004533126195852255862943353_<46> · 2909304257404908617736421035216363307298630434718956401255332986844695822913790217206298505069631077287048033756416036016372120160538477581671523_<145> (matsui / Msieve 1.49 snfs / Apr 17, 2011)

(65·10¹⁹⁹+7)/9 =: 7(2)₁₉₈3_<200>; = 61 · 97 · 5567429737_<10> · [2192373445386446159292097653762615511078340885179461470685039212352882523130578498116804364714658400311014673550857990145080280053785256476503276052469579897917563566475858222982430917987_<187>] SUBMIT/RESERVE

(65·10²⁰⁰+7)/9 =: 7(2)₁₉₉3_<201>; = 3 · 95111 · 18155698682677_<14> · [139413836348122816475758270803018785533746868379684176923548316966027339800693226989787594761467249845428189058188540984795769825120578439077368782494651116683599020036313942103956903_<183>] SUBMIT/RESERVE

4. References

A103053 - OEIS (The OEIS Foundation Inc.)