Since June 16, 2000

STUDIO KAMADA

English text only.

Last update

Sequence

General term

Room for prime numbers

Prime numbers

1. (10²+71)/9 = 19 is prime. (Makoto Kamada / Jun 2, 2003)
2. (10⁵+71)/9 = 11119 is prime. (Makoto Kamada / Jun 2, 2003)
3. (10⁶+71)/9 = 111119 is prime. (Makoto Kamada / Jun 2, 2003)
4. (10⁸+71)/9 = 11111119 is prime. (Makoto Kamada / Jun 2, 2003)
5. (10¹⁷+71)/9 = (1)₁₆9_<17> is prime. (Makoto Kamada / PPSIQS / Jun 2, 2003)
6. (10⁵⁰+71)/9 = (1)₄₉9_<50> is prime. (Makoto Kamada / PPSIQS / Jun 2, 2003)
7. (10⁶⁸⁴+71)/9 = (1)₆₈₃9_<684> is prime. (searched by Makoto Kamada / Jun 2, 2003) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / May 28, 2006)
8. (10⁷²⁰+71)/9 = (1)₇₁₉9_<720> is prime. (searched by Makoto Kamada / Jun 2, 2003) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / May 28, 2006)
9. (10¹⁴⁵²+71)/9 = (1)₁₄₅₁9_<1452> is prime. (searched by Makoto Kamada / Jun 2, 2003) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Aug 23, 2006)
10. (10¹⁶⁷⁹+71)/9 = (1)₁₆₇₈9_<1679> is prime. (searched by Makoto Kamada / Jun 2, 2003) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Aug 19, 2006)
11. (10³¹⁴⁶+71)/9 = (1)₃₁₄₅9_<3146> is PRP. (Makoto Kamada / Jun 2, 2003)

• 1-10000

• A056659 (On-Line Encyclopedia of Integer Sequences)
• A093400 (On-Line Encyclopedia of Integer Sequences)

Condition

Status

Factorization results

(10¹+71)/9 =

9

= 3²

(10²+71)/9 =

19

= definitely prime number

(10³+71)/9 =

119

= 7 · 17

(10⁴+71)/9 =

1119

= 3 · 373

(10⁵+71)/9 =

11119

= definitely prime number

(10⁶+71)/9 =

111119

= definitely prime number

(10⁷+71)/9 =

1111119

= 3 · 370373

(10⁸+71)/9 =

11111119

= definitely prime number

(10⁹+71)/9 =

111111119

= 7 · 619 · 25643

(10¹⁰+71)/9 =

1111111119_<10>

= 3² · 123456791

(10¹¹+71)/9 =

11111111119_<11>

= 43 · 258397933

(10¹²+71)/9 =

111111111119_<12>

= 79 · 1406469761_<10>

(10¹³+71)/9 =

1111111111119_<13>

= 3 · 797 · 2137 · 217457

(10¹⁴+71)/9 =

11111111111119_<14>

= 107 · 27091 · 3833087

(10¹⁵+71)/9 =

111111111111119_<15>

= 7 · 5827 · 2724045971_<10>

(10¹⁶+71)/9 =

1111111111111119_<16>

= 3 · 29 · 138191 · 92418407

(10¹⁷+71)/9 =

11111111111111119_<17>

= definitely prime number

(10¹⁸+71)/9 =

111111111111111119_<18>

= 289539527 · 383751097

(10¹⁹+71)/9 =

1111111111111111119_<19>

= 3³ · 17 · 23 · 18253 · 5766107239_<10>

(10²⁰+71)/9 =

11111111111111111119_<20>

= 19 · 463 · 50683 · 24920719969_<11>

(10²¹+71)/9 =

111111111111111111119_<21>

= 7 · 211 · 75227563379222147_<17>

(10²²+71)/9 =

1111111111111111111119_<22>

= 3 · 643 · 268993 · 2141333367127_<13>

(10²³+71)/9 =

11111111111111111111119_<23>

= 24837499 · 447352251976381_<15>

(10²⁴+71)/9 =

111111111111111111111119_<24>

= 5297866153_<10> · 20972804503223_<14>

(10²⁵+71)/9 =

1111111111111111111111119_<25>

= 3 · 79 · 1259 · 3723774850145990593_<19>

(10²⁶+71)/9 =

11111111111111111111111119_<26>

= 99661689493_<11> · 111488287702483_<15>

(10²⁷+71)/9 =

111111111111111111111111119_<27>

= 7 · 864836221727_<12> · 18353782455271_<14>

(10²⁸+71)/9 =

1111111111111111111111111119_<28>

= 3² · 3901717 · 289996507 · 109110475489_<12>

(10²⁹+71)/9 =

11111111111111111111111111119_<29>

= 83 · 133868808567603748326639893_<27>

(10³⁰+71)/9 =

111111111111111111111111111119_<30>

= 122098703 · 191409233 · 4754266877681_<13>

(10³¹+71)/9 =

1111111111111111111111111111119_<31>

= 3 · 61 · 151 · 119611 · 530599 · 633566061399787_<15>

(10³²+71)/9 =

11111111111111111111111111111119_<32>

= 43 · 293 · 3623 · 243418219035322741510447_<24>

(10³³+71)/9 =

111111111111111111111111111111119_<33>

= 7 · 2801 · 7302948077039_<13> · 775975713373703_<15>

(10³⁴+71)/9 =

1111111111111111111111111111111119_<34>

= 3 · 370370370370370370370370370370373_<33>

(10³⁵+71)/9 =

11111111111111111111111111111111119_<35>

= 17 · 89 · 7343761474627304105162664316663_<31>

(10³⁶+71)/9 =

111111111111111111111111111111111119_<36>

= 7079 · 58391 · 987383 · 21190739 · 12847183200083_<14>

(10³⁷+71)/9 =

1111111111111111111111111111111111119_<37>

= 3² · 4967 · 24855403689039015527170684542673_<32>

(10³⁸+71)/9 =

11111111111111111111111111111111111119_<38>

= 19 · 79 · 5051 · 7423892221_<10> · 197409374109852841589_<21>

(10³⁹+71)/9 =

111111111111111111111111111111111111119_<39>

= 7² · 47 · 13681 · 1855111147_<10> · 1900972239098372532739_<22>

(10⁴⁰+71)/9 =

1111111111111111111111111111111111111119_<40>

= 3 · 450677 · 821808901653224749366775696053649_<33>

(10⁴¹+71)/9 =

11111111111111111111111111111111111111119_<41>

= 23 · 117539 · 4110055279010486107334997823520227_<34>

(10⁴²+71)/9 =

111111111111111111111111111111111111111119_<42>

= 30187 · 39767467 · 2943318967933_<13> · 31446497234554067_<17>

(10⁴³+71)/9 =

1111111111111111111111111111111111111111119_<43>

= 3 · 8039 · 10429 · 530958599 · 5167473407_<10> · 1610099186939431_<16>

(10⁴⁴+71)/9 =

11111111111111111111111111111111111111111119_<44>

= 29 · 4810441 · 28940682578891_<14> · 2752110265885304675881_<22>

(10⁴⁵+71)/9 =

111111111111111111111111111111111111111111119_<45>

= 7 · 3437631367_<10> · 27343683802577_<14> · 168866352901819478863_<21>

(10⁴⁶+71)/9 =

1111111111111111111111111111111111111111111119_<46>

= 3³ · 350639504494644998917_<21> · 117363454051749831090041_<24>

(10⁴⁷+71)/9 =

11111111111111111111111111111111111111111111119_<47>

= 6229 · 1783771249175005797256559818768841083819411_<43>

(10⁴⁸+71)/9 =

111111111111111111111111111111111111111111111119_<48>

= 141937 · 34281886801_<11> · 22834796854453880239233352038287_<32>

(10⁴⁹+71)/9 =

1111111111111111111111111111111111111111111111119_<49>

= 3 · 370370370370370370370370370370370370370370370373_<48>

(10⁵⁰+71)/9 =

11111111111111111111111111111111111111111111111119_<50>

= definitely prime number

(10⁵¹+71)/9 =

111111111111111111111111111111111111111111111111119_<51>

= 7 · 17 · 79 · 211 · 3911 · 14322313199748413175024192032986219550939_<41>

(10⁵²+71)/9 =

1111111111111111111111111111111111111111111111111119_<52>

= 3 · 370370370370370370370370370370370370370370370370373_<51>

(10⁵³+71)/9 =

11111111111111111111111111111111111111111111111111119_<53>

= 43 · 59 · 12569 · 68351 · 5112566863673_<13> · 23701505217409_<14> · 42070385895289_<14>

(10⁵⁴+71)/9 =

111111111111111111111111111111111111111111111111111119_<54>

= 192529 · 577113635406152377621610828036872944393369887711_<48>

(10⁵⁵+71)/9 =

1111111111111111111111111111111111111111111111111111119_<55>

= 3² · 123456790123456790123456790123456790123456790123456791_<54>

(10⁵⁶+71)/9 =

11111111111111111111111111111111111111111111111111111119_<56>

= 19 · 2281 · 85640987 · 2993621853312574372993002563876699914203383_<43>

(10⁵⁷+71)/9 =

111111111111111111111111111111111111111111111111111111119_<57>

= 7 · 318457519 · 305987459566100539_<18> · 162893710204447875560136847637_<30>

(10⁵⁸+71)/9 =

1111111111111111111111111111111111111111111111111111111119_<58>

= 3 · 41987947512603488311_<20> · 8820873424670176966133656710593043043_<37>

(10⁵⁹+71)/9 =

11111111111111111111111111111111111111111111111111111111119_<59>

= 337 · 7703 · 16741 · 72707 · 27785262316549_<14> · 126559738499733808847734424683_<30>

(10⁶⁰+71)/9 =

111111111111111111111111111111111111111111111111111111111119_<60>

= 27847 · 3990056778507958168244734122566564122207459012141742777_<55>

(10⁶¹+71)/9 =

1111111111111111111111111111111111111111111111111111111111119_<61>

= 3 · 1597785006590311157066019479_<28> · 231802381949211280851932135008387_<33>

(10⁶²+71)/9 =

11111111111111111111111111111111111111111111111111111111111119_<62>

= 3554773 · 3125687944381008607613231874752933903546333650871971603_<55>

(10⁶³+71)/9 =

111111111111111111111111111111111111111111111111111111111111119_<63>

= 7 · 23 · 27552615697263906181_<20> · 25047753450946097026379707194291135285859_<41>

(10⁶⁴+71)/9 =

1111111111111111111111111111111111111111111111111111111111111119_<64>

= 3² · 79 · 8911838363143_<13> · 175355983254928582078256526828549556358062672703_<48>

(10⁶⁵+71)/9 =

11111111111111111111111111111111111111111111111111111111111111119_<65>

= 1301 · 11382193 · 15407243 · 75889075032594381017_<20> · 641726622818028179591299793_<27>

(10⁶⁶+71)/9 =

111111111111111111111111111111111111111111111111111111111111111119_<66>

= 557 · 1018247 · 93950723901753947_<17> · 2085206285776922462118582719177855561863_<40>

(10⁶⁷+71)/9 =

1111111111111111111111111111111111111111111111111111111111111111119_<67>

= 3 · 17 · 107 · 108211 · 2089511767093325250383363_<25> · 900507439552567821697728015408119_<33>

(10⁶⁸+71)/9 =

11111111111111111111111111111111111111111111111111111111111111111119_<68>

= 11579 · 420744124510439501905555397_<27> · 2280701124305682703924869315330516313_<37>

(10⁶⁹+71)/9 =

111111111111111111111111111111111111111111111111111111111111111111119_<69>

= 7 · 149 · 627643 · 2339464843483049445899221_<25> · 72551094638449429988842296742826611_<35>

(10⁷⁰+71)/9 =

1111111111111111111111111111111111111111111111111111111111111111111119_<70>

= 3 · 83 · 5077 · 2739028161396041_<16> · 320888743415023734174839147323948784184834244883_<48>

(10⁷¹+71)/9 =

11111111111111111111111111111111111111111111111111111111111111111111119_<71>

= 157 · 673 · 701 · 311431123 · 237927144887300370442639801_<27> · 2024504521440450134767559573_<28>

(10⁷²+71)/9 =

111111111111111111111111111111111111111111111111111111111111111111111119_<72>

= 29 · 330200209127_<12> · 43803897712009651149036753047_<29> · 264892335558844920521659048219_<30>

(10⁷³+71)/9 =

1111111111111111111111111111111111111111111111111111111111111111111111119_<73>

= 3⁴ · 97 · 200639 · 18967586873_<11> · 573326434531703_<15> · 64814374563341645978678792156630381887_<38>

(10⁷⁴+71)/9 =

11111111111111111111111111111111111111111111111111111111111111111111111119_<74>

= 19 · 43 · 24882296850791_<14> · 25121411905735939_<17> · 21757095724419913322427065699917344067043_<41>

(10⁷⁵+71)/9 =

111111111111111111111111111111111111111111111111111111111111111111111111119_<75>

= 7 · 250279 · 159986956991_<12> · 18304512805013_<14> · 21656700338815042595078490103253519760308381_<44>

(10⁷⁶+71)/9 =

1111111111111111111111111111111111111111111111111111111111111111111111111119_<76>

= 3 · 167 · 311 · 2089 · 2207 · 100129 · 1324051 · 4082041 · 139974143188503106129_<21> · 20418734860898053752859433_<26>

(10⁷⁷+71)/9 =

11111111111111111111111111111111111111111111111111111111111111111111111111119_<77>

= 79 · 19705291 · 12869861569_<11> · 554592089881667442660180647017279246025308102899593095459_<57>

(10⁷⁸+71)/9 =

111111111111111111111111111111111111111111111111111111111111111111111111111119_<78>

= 503 · 14083 · 15685354056321181215075676892435221958190657392167778828853353091860131_<71>

(10⁷⁹+71)/9 =

1111111111111111111111111111111111111111111111111111111111111111111111111111119_<79>

= 3 · 89 · 139299956135864177_<18> · 653789709809106691496535007_<27> · 45693788662971757664581671071363_<32>

(10⁸⁰+71)/9 =

11111111111111111111111111111111111111111111111111111111111111111111111111111119_<80>

= 131 · 6131 · 7963237 · 9108113363_<10> · 190737818012579742731326329190070493084259635844386837209_<57>

(10⁸¹+71)/9 =

111111111111111111111111111111111111111111111111111111111111111111111111111111119_<81>

= 7² · 211 · 10746794768460306713522691857153603937625603163856379834714296461080482746021_<77>

(10⁸²+71)/9 =

1111111111111111111111111111111111111111111111111111111111111111111111111111111119_<82>

= 3² · 191 · 1571 · 1148089 · 169265683 · 339941549011357_<15> · 6228116187849968696101420867013201416194129709_<46>

(10⁸³+71)/9 =

11111111111111111111111111111111111111111111111111111111111111111111111111111111119_<83>

= 17 · 322970153591077_<15> · 2023700221133645776092706559752776352459791014242042673974576135091_<67>

(10⁸⁴+71)/9 =

111111111111111111111111111111111111111111111111111111111111111111111111111111111119_<84>

= 7083569711059_<13> · 15685751061028225659613395706609136349956529998842510980574071597960341_<71>

(10⁸⁵+71)/9 =

1111111111111111111111111111111111111111111111111111111111111111111111111111111111119_<85>

= 3 · 23 · 47 · 199 · 3361 · 4217 · 1802197 · 3514604531303862836556735251_<28> · 19178146196184231060533994777965406253_<38>

(10⁸⁶+71)/9 =

11111111111111111111111111111111111111111111111111111111111111111111111111111111111119_<86>

= 223 · 379 · 4261 · 2571209 · 11999537402457172359078450892824185490844594553328299329371075748548143_<71>

(10⁸⁷+71)/9 =

111111111111111111111111111111111111111111111111111111111111111111111111111111111111119_<87>

= 7 · 541 · 5419 · 9371 · 103449673 · 106578259 · 52403386397101809953274167941388092196601904233176169658159_<59>

(10⁸⁸+71)/9 =

1111111111111111111111111111111111111111111111111111111111111111111111111111111111111119_<88>

= 3 · 839 · 5051 · 183401376123791400343193_<24> · 476534465392230926958628658362580833417309211105106158449_<57>

(10⁸⁹+71)/9 =

11111111111111111111111111111111111111111111111111111111111111111111111111111111111111119_<89>

= 9109 · 12109 · 35869 · 4197667 · 238475773 · 833913739 · 25034674833286762468359817_<26> · 134382868756107242903990287_<27>

(10⁹⁰+71)/9 =

111111111111111111111111111111111111111111111111111111111111111111111111111111111111111119_<90>

= 79 · 36313 · 97381 · 439291569128173901115110222527837166893_<39> · 905401419938930009932451490977082605609_<39>

(10⁹¹+71)/9 =

1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111119_<91>

= 3² · 61 · 113 · 107077 · 2503795683289954516361507699_<28> · 66805408095597938174962114053408399568247853448361069_<53>

(10⁹²+71)/9 =

11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111119_<92>

= 19 · 4053621252760757_<16> · 4597767171038703693167528058536600921_<37> · 31377168240016408425275500816072100233_<38>

(10⁹³+71)/9 =

111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111119_<93>

= 7 · 2969 · 1724575493_<10> · 270869198123594107_<18> · 11444779257762965116354440862346998837198724805893066636125943_<62>

(10⁹⁴+71)/9 =

1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111119_<94>

= 3 · 137827 · 1606451897637546177991_<22> · 30021158280869539627853_<23> · 55719442503343843338900467148014801133305813_<44>

(10⁹⁵+71)/9 =

11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111119_<95>

= 43 · 10111 · 22758893802397_<14> · 1197646235744182079_<19> · 937594867817942548377862509324477687790375038918750118481_<57>

(10⁹⁶+71)/9 =

111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111119_<96>

= 109 · 13009 · 402739 · 1604551849_<10> · 13034622520388070223_<20> · 9302746307809998689724742370829371327174038786053504383_<55>

(10⁹⁷+71)/9 =

1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111119_<97>

= 3 · 433 · 1109 · 9311 · 82836256971548871034561365275518772683241372048425522910119436312400192649867333477919_<86>

(10⁹⁸+71)/9 =

11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111119_<98>

= 204573488420115568350972870827_<30> · 54313543738830643656605450383216290721656609702409169328799380306797_<68> (Robert Backstrom / GMP-ECM 5.1-beta)

(10⁹⁹+71)/9 =

111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111119_<99>

= 7 · 17 · 661 · 5477 · 5857 · 30259 · 43196562894809984695680797127635231743_<38> · 33688939622228298099209755075227066550199237_<44> (Robert Backstrom / NFSX v1.8)

(10¹⁰⁰+71)/9 =

1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111119_<100>

= 3³ · 29 · 315697632403487220340021_<24> · 4494945222851026692801796228287842072603052158559516981248119392623709533_<73>

(10¹⁰¹+71)/9 =

(1)₁₀₀9_<101>

= 989695116849902014398434139994927_<33> · 11226801993806574954667702263776168624117371081147647910790858361697_<68> (Robert Backstrom / GMP-ECM 5.0c)

(10¹⁰²+71)/9 =

(1)₁₀₁9_<102>

= 4212860461535796951948503_<25> · 4686393510951655229231363950920469_<34> · 5627838976426913693120070664301238983398117_<43>

(10¹⁰³+71)/9 =

(1)₁₀₂9_<103>

= 3 · 79 · 170871005289556522957138395311995912579_<39> · 27437261976595525842315166050867491313177696954495528511108153_<62> (Robert Backstrom / NFSX v1.8)

(10¹⁰⁴+71)/9 =

(1)₁₀₃9_<104>

= 1051 · 5947486397059_<13> · 10512549745712957_<17> · 12342946471346723_<17> · 288360328509272693_<18> · 47507141095707308236223889577954736117_<38>

(10¹⁰⁵+71)/9 =

(1)₁₀₄9_<105>

= 7 · 162212851739897584717457_<24> · 2640046769296738352044013981_<28> · 37064877625265841763438355865608054824117830923175101_<53>

(10¹⁰⁶+71)/9 =

(1)₁₀₅9_<106>

= 3 · 151 · 2452783909737552121658081922982585234240863379936227618346823644836889870002452783909737552121658081923_<103>

(10¹⁰⁷+71)/9 =

(1)₁₀₆9_<107>

= 23 · 6356401146181_<13> · 3561680165295406930096617902894103654165726629_<46> · 21338478001923136399906211295484223620090062097_<47> (Robert Backstrom / PPSIQS Ver 1.1)

(10¹⁰⁸+71)/9 =

(1)₁₀₇9_<108>

= 233 · 157739 · 8039987 · 376016705290361587382534231649413047914903705512297948280042385000506881809165047400884178951_<93>

(10¹⁰⁹+71)/9 =

(1)₁₀₈9_<109>

= 3² · 32941 · 32058809 · 117239445539_<12> · 3172273368286607391381833837_<28> · 314330451885204782298683096787392872038872414970482814173_<57>

(10¹¹⁰+71)/9 =

(1)₁₀₉9_<110>

= 19 · 584795321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637426901_<108>

(10¹¹¹+71)/9 =

(1)₁₁₀9_<111>

= 7 · 59 · 83 · 211 · 6451 · 590839 · 1644575359071889904836996212805301_<34> · 2450738176316293155762600886818570991825046873507844048392059_<61>

(10¹¹²+71)/9 =

(1)₁₁₁9_<112>

= 3 · 229 · 1233848261_<10> · 12678518148052223_<17> · 69864088626060356196739414762011227_<35> · 1479845940476656658279197109159057808197484903977_<49>

(10¹¹³+71)/9 =

(1)₁₁₂9_<113>

= 389 · 23410501 · 510154949 · 1620084779_<10> · 145453942651_<12> · 1036104927261737185187_<22> · 9795533601756317225964268091956405917426179769375073_<52>

(10¹¹⁴+71)/9 =

(1)₁₁₃9_<114>

= 11953 · 11121389 · 33563026638479626805517159819301_<32> · 24903501926880939454744167892615749960178933026219030006880774663126207_<71>

(10¹¹⁵+71)/9 =

(1)₁₁₄9_<115>

= 3 · 17 · 21786492374727668845315904139433551198257080610021786492374727668845315904139433551198257080610021786492374727669_<113>

(10¹¹⁶+71)/9 =

(1)₁₁₅9_<116>

= 43 · 79 · 838513452265118808271358599905282737069130720672715931_<54> · 3900784060451690054008231719877909004247389193034510367417_<58> (Robert Backstrom / NFSX v1.8)

(10¹¹⁷+71)/9 =

(1)₁₁₆9_<117>

= 7 · 5179 · 69409675759_<11> · 6858604721783738775532093044767783_<34> · 6438100469486198970170992012897621383017605112004727768135712973859_<67>

(10¹¹⁸+71)/9 =

(1)₁₁₇9_<118>

= 3² · 1151 · 6073 · 452998278768228589918517038670507_<33> · 38988796038152300364522680202996523295546182382289500267543587974369816637331_<77> (Robert Backstrom / NFSX v1.8)

(10¹¹⁹+71)/9 =

(1)₁₁₈9_<119>

= 719 · 39341 · 2219563 · 55036699 · 170494931432953_<15> · 1147227957013627361647591_<25> · 16440012992604689938307210377461320918411318262635249654611_<59>

(10¹²⁰+71)/9 =

(1)₁₁₉9_<120>

= 107 · 787 · 9733 · 101642067847_<12> · 1333763306346830699991884680656078255529916288523892423192653792563445862954818512074297374575257141_<100>

(10¹²¹+71)/9 =

(1)₁₂₀9_<121>

= 3 · 359501 · 224715889 · 83748501360599_<14> · 27946386053619349_<17> · 9605661770992690331_<19> · 203925888414120145109468829106516263414235401106999581497_<57>

(10¹²²+71)/9 =

(1)₁₂₁9_<122>

= 32865169 · 274595793037_<12> · 22993784383259_<14> · 53544798281736527729271740241255683989201392359256119606432408848795817586778973082004097_<89>

(10¹²³+71)/9 =

(1)₁₂₂9_<123>

= 7² · 89 · 193 · 359 · 600283 · 1251519827_<10> · 489469762233900297644607859325185062284671802739652536714203589587842214576489689118732999698929937_<99>

(10¹²⁴+71)/9 =

(1)₁₂₃9_<124>

= 3 · 179 · 1123 · 2054057 · 33492898877299_<14> · 16227294638230672541_<20> · 418493621807022110495701_<24> · 674472729443114282561424461_<27> · 5847077624032987601297516483_<28>

(10¹²⁵+71)/9 =

(1)₁₂₄9_<125>

= 130951661828584755224119_<24> · 84848950795718154235689054996369432928494303877782847482489325552315922997740037966913026420300873001_<101>

(10¹²⁶+71)/9 =

(1)₁₂₅9_<126>

= 17187925949_<11> · 29793395862227089_<17> · 351620550543341819_<18> · 187401501288958184479_<21> · 3292810168476826088381345104839612144482405495339713153828079_<61>

(10¹²⁷+71)/9 =

(1)₁₂₆9_<127>

= 3³ · 178183 · 717787056455060146823203463159005488018911211175169242819_<57> · 321759839831663189289381570881082849191371384819567538618416361_<63> (Robert Backstrom / NFSX v1.8)

(10¹²⁸+71)/9 =

(1)₁₂₇9_<128>

= 19 · 29 · 143117003639542080294158419801_<30> · 140901188577989736342115855939484250056905718254517777052955695686816176441536673143864923531969_<96>

(10¹²⁹+71)/9 =

(1)₁₂₈9_<129>

= 7 · 23 · 79 · 643 · 1237 · 7788113 · 281246470195558752243571_<24> · 4008084046239914617052836750700657_<34> · 1251029947914962435786675540941694618169917299191689701_<55>

(10¹³⁰+71)/9 =

(1)₁₂₉9_<130>

= 3 · 409 · 14840804903_<11> · 1069956849912747169_<19> · 57028140182305764004949568086339995900977272794273697985584703563563479913330256153687552659632971_<98>

(10¹³¹+71)/9 =

(1)₁₃₀9_<131>

= 17 · 47 · 491 · 483902631282815659_<18> · 8597277713777376058924466679339241186763_<40> · 6807854726215046067331016521207682658009163227123489257700696026923_<67> (Robert Backstrom / GMP-ECM 5.0c)

(10¹³²+71)/9 =

(1)₁₃₁9_<132>

= 421904867 · 131004243751_<12> · 4438867415584920092629_<22> · 452882373035263637767518630394516400500602256431304530649706772478177667911070371774277383_<90>

(10¹³³+71)/9 =

(1)₁₃₂9_<133>

= 3 · 221133233 · 402697969 · 611251062157160116053505645645324711651025064485264201597_<57> · 6804295316508357009360057256130556002704534027000187849417_<58> (Greg Childers / GGNFS)

(10¹³⁴+71)/9 =

(1)₁₃₃9_<134>

= 66930601 · 2577926833_<10> · 152520855991614307365754769680642555850200904536277789_<54> · 422214306274309203634349912768473401465731860766384413693202387_<63> (Greg Childers / GGNFS)

(10¹³⁵+71)/9 =

(1)₁₃₄9_<135>

= 7 · 1153 · 2184518017298321_<16> · 6301943602411418927065347772521284600674866138896782892902370528275606753504645365967534381990844691329025065692009_<115>

(10¹³⁶+71)/9 =

(1)₁₃₅9_<136>

= 3² · 2549 · 163094033239_<12> · 4384489120877_<13> · 12360923058643_<14> · 1008522659585686791509357769319047928771648621_<46> · 5433147712933609218182035200472357313531605202551_<49> (Robert Backstrom / PPSIQS Ver 1.1)

(10¹³⁷+71)/9 =

(1)₁₃₆9_<137>

= 43 · 258397932816537467700258397932816537467700258397932816537467700258397932816537467700258397932816537467700258397932816537467700258397933_<135>

(10¹³⁸+71)/9 =

(1)₁₃₇9_<138>

= 5051 · 422256683 · 6397734449538937_<16> · 408287153725627590310462551061_<30> · 773434418357099924006939896057111_<33> · 25786248891830799185613380049410068777273787909_<47> (Robert Backstrom / GMP-ECM 5.0c, PPSIQS Ver 1.1)

(10¹³⁹+71)/9 =

(1)₁₃₈9_<139>

= 3 · 1306998800479_<13> · 538510994578010919819746003869_<30> · 526218936195542815510681792148737978933121500169642283747386160121088461211431306621778276945623_<96>

(10¹⁴⁰+71)/9 =

(1)₁₃₉9_<140>

= 3019 · 88311091476456073451058821_<26> · 52078789742353988905206507892145138499461319382907_<50> · 800236289305257565863023061393908386883691754499093142776683_<60> (Greg Childers / GGNFS)

(10¹⁴¹+71)/9 =

(1)₁₄₀9_<141>

= 7 · 211 · 136471067 · 18654172387_<11> · 6600997910161_<13> · 933229737170954225910080587831_<30> · 4796917596133934510568690132659481922280460741248972718162488941099249793173_<76> (Robert Backstrom / GMP-ECM 5.0c)

(10¹⁴²+71)/9 =

(1)₁₄₁9_<142>

= 3 · 79 · 4688232536333802156586966713548992030004688232536333802156586966713548992030004688232536333802156586966713548992030004688232536333802156587_<139>

(10¹⁴³+71)/9 =

(1)₁₄₂9_<143>

= 937 · 581293 · 8295763703_<10> · 182538963562960703427542629_<27> · 13471341729884735058417029514161938260101884767956820141712087113756226688018448657798143446521857_<98>

(10¹⁴⁴+71)/9 =

(1)₁₄₃9_<144>

= 1511 · 290183 · 11149616353_<11> · 3676356032446416657105451_<25> · 30544160959549048329568294296428368601133191_<44> · 202402267134456416354294445204134193826917234103168515931_<57> (Tyler Cadigan / PPSIQS / 94:05:47:28)

(10¹⁴⁵+71)/9 =

(1)₁₄₄9_<145>

= 3² · 19309 · 195015767 · 40479256610920802498530867222267697_<35> · 809940181262701773828352093621916056331560854772483017286223737474446843211504372316868864075701_<96> (Robert Backstrom / GMP-ECM 5.0c)

(10¹⁴⁶+71)/9 =

(1)₁₄₅9_<146>

= 19 · 184646504480794719922073218304967625981702798346467821334085569801_<66> · 3167107459097619074471329268330657548194777692213070386010929467909308160277101_<79> (Greg Childers / GGNFS)

(10¹⁴⁷+71)/9 =

(1)₁₄₆9_<147>

= 7 · 17² · 181 · 1279 · 27809 · 8531533812822395905579797344157299298059049491460731909574085773227781189490956066438201412827635220302959346929561071805029658787083_<133>

(10¹⁴⁸+71)/9 =

(1)₁₄₇9_<148>

= 3 · 8597 · 3852160831_<10> · 9995876197_<10> · 12476283869625123042297542871211_<32> · 89676527294667108544580024600501584617379940687367211028857390036651681323077608208888583017_<92> (Greg Childers / GGNFS)

(10¹⁴⁹+71)/9 =

(1)₁₄₈9_<149>

= 157 · 17359211 · 362202878899596800119_<21> · 11255789388449669960510504406876995370207948957240169823811184242874287353505535659676083259815036217910593805222819063_<119>

(10¹⁵⁰+71)/9 =

(1)₁₄₉9_<150>

= 42667897527877_<14> · 2604091543027561908016015267716171238411440486326174957971536605658588758800843943201560013742913454031802545533595873789446947496831747_<136>

(10¹⁵¹+71)/9 =

(1)₁₅₀9_<151>

= 3 · 23 · 61 · 1163 · 1392536443_<10> · 1435575192424309524768909293072449589412358289040997_<52> · 113544561029960344981988582475143875453433518727002828818207021463470771560713531067_<84> (Sinkiti Sibata / GGNFS-0.77.1 / 29.11 hours / Sep 29, 2005)

(10¹⁵²+71)/9 =

(1)₁₅₁9_<152>

= 83 · 66067 · 274139 · 1262281861249_<13> · 1283057256269_<13> · 4563747506411097333315016748546066806857834866069781190677655643201353617899246642828932408724423529619212424650281_<115>

(10¹⁵³+71)/9 =

(1)₁₅₂9_<153>

= 7 · 5113880010251_<13> · 102810924599828884362050857164373075486103832573319_<51> · 30190454557728793269250249717674139102743562662711596919033095611883027825428747426710493_<89> (Sinkiti Sibata / GGNFS-0.77.1 / 53.43 hours on Pentium 4 2.4GZh, Windows XP and Cygwin / Jan 1, 2006)

(10¹⁵⁴+71)/9 =

(1)₁₅₃9_<154>

= 3⁵ · 854869 · 2970437718965177_<16> · 50125992759858511_<17> · 10284751290915106911292019_<26> · 428115055933763296537972075861137296953451_<42> · 8158567576053432819049447894238169488585549399_<46> (Makoto Kamada / GMP-ECM 5.0.3 B1=1000000, sigma=474353198 for P26) (Makoto Kamada / msieve 0.87 / 2.1 hours)

(10¹⁵⁵+71)/9 =

(1)₁₅₄9_<155>

= 79 · 21024221 · 2538192709081690151_<19> · 2635638809897818365742400118415969149356041585427224395275160831275169644396729559646942124921059305159619347956438945200329091_<127>

(10¹⁵⁶+71)/9 =

(1)₁₅₅9_<156>

= 29 · 91453 · 446883107833_<12> · 2956522981397_<13> · 1391401952390485339_<19> · 22789444009495761289058926533338714133451500099940416792715954940740127692621498955047637474786392617727433_<107>

(10¹⁵⁷+71)/9 =

(1)₁₅₆9_<157>

= 3 · 284023 · 1304015415548636449760654490553125522828680671531426575912409806143764309124156742131342779881806650765502689466593798285245808861854041293734558012451_<151>

(10¹⁵⁸+71)/9 =

(1)₁₅₇9_<158>

= 43 · 16421 · 1911687781_<10> · 8231376557117782437465809964525799806009981982468675837215830019910620741391983507662019020952629869825442723100841000423550895669734807388533_<142>

(10¹⁵⁹+71)/9 =

(1)₁₅₈9_<159>

= 7 · 10093843 · 2675323487_<10> · 7591751283923_<13> · 51882851733004559_<17> · 1492315989432204487282383835156764419179305501856718654357725974790744986445834099179520481284095854568308581441_<112>

(10¹⁶⁰+71)/9 =

(1)₁₅₉9_<160>

= 3 · 6781 · 935971 · 10662763 · 54488692536470399_<17> · 7705207815128361758535915747767663_<34> · 13035257023255755892253709177324288688206891999314832662653855898078395052424282312810258233_<92> (Tyler Cadigan / GGNFS-0.77.1-20060722-pentium4 / 64.35 hours on 3.2 Ghz P4, 1024 ram, cygwin, windows XP / Oct 2, 2006)

(10¹⁶¹+71)/9 =

(1)₁₆₀9_<161>

= 23327 · 321131832988051_<15> · 1191317231086892298689_<22> · 157827640943815926474954927538137344371_<39> · 7888687536686028472531832671390978588451330433797341725738861291549234482598071113_<82> (Alfred Reich / Msieve V 1.06 / Jul 17, 2006)

(10¹⁶²+71)/9 =

(1)₁₆₁9_<162>

= 1013 · 1693802890853_<13> · 64756769549976919156824948516023814112960330742723773495114985470914178582147140729226738993165617091973663576939625570988003827064371619381657271_<146>

(10¹⁶³+71)/9 =

(1)₁₆₂9_<163>

= 3² · 17 · 5025358374027359_<16> · 1445103728809149871690751816977765611413288402287242066727358782773153024179111109528252732599594921742444059392037747823144546368964293765760697_<145>

(10¹⁶⁴+71)/9 =

(1)₁₆₃9_<164>

= 19² · 7831997 · 2098626111640319124673_<22> · 28129977390358023629213634794275869491272177939_<47> · 66569197414739914752363340066606515578290318079885508716380491999752942375601583635281_<86> (Justin Card / GGNFS-0.77.1-20060722-k8 snfs / May 6, 2008)

(10¹⁶⁵+71)/9 =

(1)₁₆₄9_<165>

= 7² · 269 · 1583 · 2874277267_<10> · 183942515674576635914792889589_<30> · 10072039814857571275658897207514471151047205167379194148511945379446043824744135187000287348194005802050525911062291931_<119> (Makoto Kamada / GMP-ECM 5.0.3 B1=75100, sigma=1810296040)

(10¹⁶⁶+71)/9 =

(1)₁₆₅9_<166>

= 3 · 853 · 2941450565776713211063703481417686180142901689698887_<52> · 444247718689605355281288325170529968377748965603234359_<54> · 332277125209997397567433286536766521100002249200099342577_<57> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 71.23 hours on Cygwin on AMD XP 2700+ / May 13, 2007)

(10¹⁶⁷+71)/9 =

(1)₁₆₆9_<167>

= 89 · 91311343163343446323968739512561574329110904059483452421063_<59> · 1367233694562301051553984933575756012125192786758201704704070474144368666604173622117402417959850492600417_<106> (Robert Backstrom / GGNFS-0.77.1-20060513-athlon-xp / 108.25 hours on Cygwin on AMD 64 3200+ / May 8, 2007)

(10¹⁶⁸+71)/9 =

(1)₁₆₇9_<168>

= 79 · 46807 · 88886723 · 2422444956244666843789861_<25> · 1684987579506915723551780413_<28> · 82819399196394292286179995115030756950376510826281016434282219506351428752086175109389025838618338557_<101>

(10¹⁶⁹+71)/9 =

(1)₁₆₈9_<169>

= 3 · 59 · 97 · 2029033 · 6513786343_<10> · 58256274272138916126619839433275911718637_<41> · 84051828163356372247625226617883687184833701501969291495680461061656160491744043801648027577705796315595717_<107> (Wataru Sakai / GGNFS-0.77.1-20060722-nocona snfs / 168.68 hours / Jul 4, 2008)

(10¹⁷⁰+71)/9 =

(1)₁₆₉9_<170>

= 12899 · 13574287 · 20517527 · 84125156504066876351_<20> · 299796250361532846617_<21> · 122632992227466923397137996617672865212410326589827721250810988139887775165435239910164406549602464945286410507_<111>

(10¹⁷¹+71)/9 =

(1)₁₇₀9_<171>

= 7 · 211 · 8893 · 1020013 · 8458713931_<10> · 10347507427_<11> · 45794704847_<11> · [2069034095320722195548923215079703378937455489202419208172765615328926241741952336155268048786153404925113396948730329019618997_<127>] SUBMIT/RESERVE

(10¹⁷²+71)/9 =

(1)₁₇₁9_<172>

= 3² · 4391 · 4919 · 6337 · 503573969713352179_<18> · 4894102405193232341523799_<25> · 15441280903831977725272445863464931495519706268391_<50> · 23701256234827907885716605563878213283252164799721868829312661738797_<68> (JMB / GGNFS-0.77.1-20050930-prescott gnfs for P50 x P68 / 63.00 hours on Two P4 boxes / Aug 14, 2006)

(10¹⁷³+71)/9 =

(1)₁₇₂9_<173>

= 23² · 107 · 424722629 · 187679214118451681266132692899356843_<36> · 3163656490366535907132680457817794161_<37> · 9195777497317241672839400152874797906417_<40> · 84648387182546183617852698023055943681186500107_<47> (Makoto Kamada / GMP-ECM 5.0.3 B1=4000000, sigma=2259337842 for P37) (Robert Backstrom / GMP-ECM 6.0 B1=1842000, sigma=3414854248 for P36, Msieve v. 1.33 / Feb 10, 2008)

(10¹⁷⁴+71)/9 =

(1)₁₇₃9_<174>

= 463 · 54091 · 241680252958065737_<18> · 18357364118637809156394699886177740247791115812737231722321500167052577708754755472064731035209087236757232481251893559996138307050643973749419435339_<149>

(10¹⁷⁵+71)/9 =

(1)₁₇₄9_<175>

= 3 · 677 · 6287 · 40823 · 5697213031_<10> · 374142230365853062976629853194116741629463339711093258046369621137370529343532936393364466242534500921922692341518409106937279482979401358884240258866479_<153>

(10¹⁷⁶+71)/9 =

(1)₁₇₅9_<176>

= 821 · 5834893637_<10> · [2319430638357828921998508678903077285323402390226534929401934545728113199761595249016895389181263589499705073841538046643611119192592589514078796645212522186402647_<163>] SUBMIT/RESERVE

(10¹⁷⁷+71)/9 =

(1)₁₇₆9_<177>

= 7 · 47 · 191 · 600611101087_<12> · [2943980102233072919873118911276039716320516354582996972581102801500626989958256238613931236811274720919143892867978077349280209830474831331618856887125636340983_<160>] SUBMIT/RESERVE

(10¹⁷⁸+71)/9 =

(1)₁₇₇9_<178>

= 3 · 293 · 488956895692335547_<18> · [2585223173343234245775462523066950302573967293798588247128302932805547936605145128535152416612936808647481568373457940949426395589089766628617400998195937363_<157>] SUBMIT/RESERVE

(10¹⁷⁹+71)/9 =

(1)₁₇₈9_<179>

= 17 · 43 · 9049402502510222344057348417_<28> · [1679655468607621721991622154551885402806533022303409245104185450719565742097648958717415511161217486545435460473818370679440714209715530546103064797_<148>] (Wataru Sakai / GMP-ECM B1=10000000, sigma=3881067523 for P28) SUBMIT/RESERVE

(10¹⁸⁰+71)/9 =

(1)₁₇₉9_<180>

= 10627 · 7936631 · 699357776561_<12> · 9775791858109_<13> · 1226535304270133824209889298575081_<34> · 9646827652244259591998878269506813_<34> · 16285259880623894915342400241019541187822058715291361864722782960855927435971_<77> (Serge Batalov / GMP-ECM 6.2.1 B1=11000000, sigma=3029909724 for P34(9646...), pol51+Msieve 1.36 gnfs for P34(1126...) x P77 / 10.1 hours on Opteron-2.6GHz; Linux x86_64 / Aug 9, 2008)

(10¹⁸¹+71)/9 =

(1)₁₈₀9_<181>

= 3³ · 79 · 151 · 970166163139773592021_<21> · 3555851080090981293875086434598094507572760968850954262298709661030874053720746081706390083092726919096667335636414825577386738083029367310579273846897233_<154>

(10¹⁸²+71)/9 =

(1)₁₈₁9_<182>

= 19 · 62375936537_<11> · 419021758341979799173703_<24> · 22374340102012146019080882950749342975799897714360118211987873537108764402250337746288492132417279672765237001333613471259445281102526627152250491_<146>

(10¹⁸³+71)/9 =

(1)₁₈₂9_<183>

= 7 · 823 · 5867347 · 4144995876754349_<16> · [793037527112035774557410039825808721287808957452734895889431921869522725022348748267123185464462814100596955381314708579376761407255347244536310241213843593_<156>] SUBMIT/RESERVE

(10¹⁸⁴+71)/9 =

(1)₁₈₃9_<184>

= 3 · 29 · 199 · 1697 · 919179139 · 1299592780666421554668910151_<28> · 9343168720031962523222369884197334253_<37> · 1586931314118813407557567732512708559877_<40> · 2135224521200188890616493683567821754642212756737532735710790131_<64> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=783025530 for P37 / Aug 3, 2008) (Serge Batalov / Msieve-1.36 gnfs for P40 x P64 / 5.90 hours on Opteron-2.6GHz; Linux x86_64 / Aug 4, 2008)

(10¹⁸⁵+71)/9 =

(1)₁₈₄9_<185>

= 3750806215629184966943224092904300819_<37> · 2962326090004961791420165103734489031196192276354525085062870974884672443755506312844401933410221376627505125539122978817351962262478860535294623701_<148> (Greg Childers / ECM-6 / May 5, 2005)

(10¹⁸⁶+71)/9 =

(1)₁₈₅9_<186>

= 21956285956390994430963419957738743694747827961903819_<53> · 5060560394039188481932328242445842739178885005851611298737492037561232350261294769209243502470606386060971130677592702162720129986701_<133> (Alexander Mkrtychyan / ggnfs-0.77.1-20060513-win32 / 567.37 GHz days on A few of P4 1.5-3GHz Windows 2000/XP/2003 / Jun 16, 2006)

(10¹⁸⁷+71)/9 =

(1)₁₈₆9_<187>

= 3 · 170759 · 118556060853532355684657119016905151082226412154225341230741_<60> · 18294850799511873801677071498271275076680523886468931501062534084271591363969148990966231170862572128613900878977069885767_<122> (Robert Backstrom / GGNFS-0.77.1-20060513-athlon-xp, Msieve 1.38 snfs / 70.75 hours, 13.97 hours / Oct 6, 2008)

(10¹⁸⁸+71)/9 =

(1)₁₈₇9_<188>

= 5051 · 11593 · 25889 · 77117398087105878766860647707673_<32> · [95042235417061342709137038769115156978823101279373950507224840278843986985720234251760664055691722544383397021632330291947586450809724093964989_<143>] (Serge Batalov / GMP-ECM 6.2.1 B1=1000000, sigma=285739272 for P32 / Dec 9, 2008) SUBMIT/RESERVE

(10¹⁸⁹+71)/9 =

(1)₁₈₈9_<189>

= 7 · 522116149 · [30401311860238732083104014223884641836414479248401629147603737253903389638065027314479546994193845310492154526086140792814039191637828220126309511780712749062800997317966261594933_<179>] SUBMIT/RESERVE

(10¹⁹⁰+71)/9 =

(1)₁₈₉9_<190>

= 3² · 373² · 781357 · 2358538216034893_<16> · [481509536157157846687573679628626184451407277308556047171707679710808125914428945299129159679709131959771707888809585049660629129007638882227907567802704625912279_<162>] SUBMIT/RESERVE

(10¹⁹¹+71)/9 =

(1)₁₉₀9_<191>

= 431 · 77171 · 13589674871_<11> · 15644033501361659_<17> · [1571333207252603607623180770312392839643810899619806154047047219849287744437473949391185396725542540599883533241062496545850634597945464481840240508698258471_<157>] SUBMIT/RESERVE

(10¹⁹²+71)/9 =

(1)₁₉₁9_<192>

= 66959 · 619758888750479_<15> · 18193413631956181_<17> · 8313452985705783989_<19> · 17702317620168736388558963706833356313577315628445830245246549871820761316711751789628629978517922580685461130332800805855807319139082631_<137>

(10¹⁹³+71)/9 =

(1)₁₉₂9_<193>

= 3 · 83 · 1431244686853_<13> · 4508363445277_<13> · 1413521664942116360011121415991_<31> · [489241024496907354315699990163522497568807868639472158427158410636880445374402685926600142762794996201973895068523081010022271307068961_<135>] (Wataru Sakai / GMP-ECM B1=10000000, sigma=3841290381 for P31) SUBMIT/RESERVE

(10¹⁹⁴+71)/9 =

(1)₁₉₃9_<194>

= 79 · 2204384873_<10> · 267949642297_<12> · 2064788088902051_<16> · 115322569222289145702383866829529032405117562857200237891656084016161097658616587200915963520258324258256525602083894312853632552793093860425312893283175531_<156>

(10¹⁹⁵+71)/9 =

(1)₁₉₄9_<195>

= 7 · 17 · 23 · 2389 · 12658232542072891_<17> · 54775119319789267517672726665291_<32> · [24508128083609856106882937213433754990235080308233947248497274818116540519436837105107908460599060015366174127469342984467972328959407611243_<140>] (Wataru Sakai / GMP-ECM B1=10000000, sigma=3519348007 for P32) SUBMIT/RESERVE

(10¹⁹⁶+71)/9 =

(1)₁₉₅9_<196>

= 3 · 98160901 · 3175952833_<10> · 5889865007532157_<16> · 1268114041778293739_<19> · 159059642944274798587769055150951497106692894246587692909798154149191918526721632698925881131234979471009797983999977405772700190173937988870847_<144>

(10¹⁹⁷+71)/9 =

(1)₁₉₆9_<197>

= 285071 · 31278431069_<11> · 1246118921971642059447605286581595950175831722598050315374042852640571784843505559553522042234094784122878437672605921040578149410872590628734960783755919532068491761030041658361781_<181>

(10¹⁹⁸+71)/9 =

(1)₁₉₇9_<198>

= 4001 · 5031332503_<10> · 58763767963_<11> · 13275389735735891_<17> · 1080515019909211499629_<22> · 10069084871636180530120147336924416212569_<41> · 372936171880615158098090212029283260211837_<42> · 1743788007353172537521605567071655468363222761077697113_<55> (Philippe Strohl / GMP-ECM 6.1.1 B1=12544709, sigma=1422801866 for P41, msieve 1.34 for P42 x P55 / May 15, 2008)

(10¹⁹⁹+71)/9 =

(1)₁₉₈9_<199>

= 3² · 1282109 · 56401403743487581216991365601_<29> · [1707261785010448898542931655293904776314770671755562750693160171208243512967130694350462705756368676588481618831929183853545308859467554174143920854544575560837699_<163>] (Makoto Kamada / GMP-ECM 5.0.3 B1=1000000, sigma=499200050 for P29) SUBMIT/RESERVE

(10²⁰⁰+71)/9 =

(1)₁₉₉9_<200>

= 19 · 43 · 1861 · 4339 · 218924581 · 641765730765796490791870295201_<30> · [11987492841028974444069975881322827688459566087864658033800299423923567334917633398263313181119727174257429479650354010252402175687768873513840520705293_<152>] (Wataru Sakai / GMP-ECM B1=10000000, sigma=1178524109 for P30) SUBMIT/RESERVE