Factorizations of 122...229

Table of contents

1. About 122...229
   • First ten terms
   • General term
2. Prime numbers of the form 122...229
   • Last update
   • Searched up to
   • Difficulty of search
   • Results
3. Factorizations of 122...229
   • Last update
   • Completed up to
   • Range
   • Terms which have not been factored yet
   • Results
4. References

1. About 122...229

First ten terms

19, 129, 1229, 12229, 122229, 1222229, 12222229, 122222229, 1222222229, 12222222229

General term

(11·10ⁿ+61)/9

2. Prime numbers of the form 122...229

Last update

Aug 9, 2009

Searched up to

n≤10000

Difficulty of search

16.45%

Results

1. (11·10¹+61)/9 = 19 is prime.
2. (11·10³+61)/9 = 1229 is prime.
3. (11·10⁶+61)/9 = 1222229 is prime.
4. (11·10⁵¹+61)/9 = 1(2)₅₀9_<52> is prime.
5. (11·10⁵⁷+61)/9 = 1(2)₅₆9_<58> is prime.
6. (11·10⁶³+61)/9 = 1(2)₆₂9_<64> is prime.
7. (11·10¹⁵⁰+61)/9 = 1(2)₁₄₉9_<151> is prime. (Makoto Kamada / PPSIQS / Sep 19, 2004)
8. (11·10³⁹³+61)/9 = 1(2)₃₉₂9_<394> is prime. (searched by Makoto Kamada / Sep 19, 2004) (certified by Makoto Kamada / PPSIQS / Dec 29, 2004)
9. (11·10⁴²⁰+61)/9 = 1(2)₄₁₉9_<421> is prime. (searched by Makoto Kamada / Sep 19, 2004) (certified by Makoto Kamada / PPSIQS / Jan 24, 2005)
10. (11·10⁵⁴⁷+61)/9 = 1(2)₅₄₆9_<548> is prime. (searched by Makoto Kamada / Sep 19, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / May 28, 2006)

3. Factorizations of 122...229

Last update

Nov 8, 2009

Completed up to

• n≤100 / Sep 19, 2004
• n≤150 / Feb 17, 2008

Range

n≤200

Terms which have not been factored yet

n=174, 176, 181, 183, 188, 189, 190, 191, 193, 194, 195, 196, 197, 199 (14/200)

Results

(11·10¹+61)/9 =

19

= definitely prime number

(11·10²+61)/9 =

129

= 3 · 43

(11·10³+61)/9 =

1229

= definitely prime number

(11·10⁴+61)/9 =

12229

= 7 · 1747

(11·10⁵+61)/9 =

122229

= 3⁵ · 503

(11·10⁶+61)/9 =

1222229

= definitely prime number

(11·10⁷+61)/9 =

12222229

= 163 · 167 · 449

(11·10⁸+61)/9 =

122222229

= 3 · 1571 · 25933

(11·10⁹+61)/9 =

1222222229_<10>

= 59 · 181 · 114451

(11·10¹⁰+61)/9 =

12222222229_<11>

= 7 · 859 · 2032633

(11·10¹¹+61)/9 =

122222222229_<12>

= 3 · 313 · 130162111

(11·10¹²+61)/9 =

1222222222229_<13>

= 17 · 71895424837_<11>

(11·10¹³+61)/9 =

12222222222229_<14>

= 1489 · 2237 · 3669353

(11·10¹⁴+61)/9 =

122222222222229_<15>

= 3² · 1610429 · 8432689

(11·10¹⁵+61)/9 =

1222222222222229_<16>

= 2111 · 578977840939_<12>

(11·10¹⁶+61)/9 =

12222222222222229_<17>

= 7 · 1171 · 1491060415057_<13>

(11·10¹⁷+61)/9 =

122222222222222229_<18>

= 3 · 1511 · 3061 · 8808483133_<10>

(11·10¹⁸+61)/9 =

1222222222222222229_<19>

= 29 · 47 · 199 · 241061 · 18692797

(11·10¹⁹+61)/9 =

12222222222222222229_<20>

= 19 · 461 · 10039 · 62131 · 2237159

(11·10²⁰+61)/9 =

122222222222222222229_<21>

= 3 · 349 · 10079 · 3386081 · 3420493

(11·10²¹+61)/9 =

1222222222222222222229_<22>

= 23² · 419 · 677 · 8145013566827_<13>

(11·10²²+61)/9 =

12222222222222222222229_<23>

= 7³ · 35633300939423388403_<20>

(11·10²³+61)/9 =

122222222222222222222229_<24>

= 3² · 43 · 997 · 316770005681702011_<18>

(11·10²⁴+61)/9 =

1222222222222222222222229_<25>

= 43633 · 139747 · 2101313 · 95389783

(11·10²⁵+61)/9 =

12222222222222222222222229_<26>

= 7927 · 1541847132865172476627_<22>

(11·10²⁶+61)/9 =

122222222222222222222222229_<27>

= 3 · 7243 · 5624843399246270984501_<22>

(11·10²⁷+61)/9 =

1222222222222222222222222229_<28>

= 617 · 9049 · 218909406471523259413_<21>

(11·10²⁸+61)/9 =

12222222222222222222222222229_<29>

= 7 · 17 · 113 · 9403 · 518383321 · 186469289089_<12>

(11·10²⁹+61)/9 =

122222222222222222222222222229_<30>

= 3 · 1153 · 2639111 · 20774437 · 644484821933_<12>

(11·10³⁰+61)/9 =

1222222222222222222222222222229_<31>

= 62327 · 398581 · 33954317 · 1448979899651_<13>

(11·10³¹+61)/9 =

12222222222222222222222222222229_<32>

= 306790941187_<12> · 39838928017018412167_<20>

(11·10³²+61)/9 =

122222222222222222222222222222229_<33>

= 3³ · 173 · 26166179024239396750636313899_<29>

(11·10³³+61)/9 =

1222222222222222222222222222222229_<34>

= 1993 · 3183660323_<10> · 192626552516961764911_<21>

(11·10³⁴+61)/9 =

12222222222222222222222222222222229_<35>

= 7 · 227 · 1093 · 1493 · 4713530361146926732296889_<25>

(11·10³⁵+61)/9 =

122222222222222222222222222222222229_<36>

= 3 · 2383 · 17096408200059060319236567662921_<32>

(11·10³⁶+61)/9 =

1222222222222222222222222222222222229_<37>

= 859 · 1422843099210968826801190014228431_<34>

(11·10³⁷+61)/9 =

12222222222222222222222222222222222229_<38>

= 19 · 643274853801169590643274853801169591_<36>

(11·10³⁸+61)/9 =

122222222222222222222222222222222222229_<39>

= 3 · 4421 · 111376264219541_<15> · 82740046263516674863_<20>

(11·10³⁹+61)/9 =

1222222222222222222222222222222222222229_<40>

= 317 · 449 · 8587061484140868401721471634984313_<34>

(11·10⁴⁰+61)/9 =

12222222222222222222222222222222222222229_<41>

= 7 · 139 · 307 · 13297 · 709932371 · 4334393255766527069297_<22>

(11·10⁴¹+61)/9 =

122222222222222222222222222222222222222229_<42>

= 3² · 13580246913580246913580246913580246913581_<41>

(11·10⁴²+61)/9 =

1222222222222222222222222222222222222222229_<43>

= 384277681 · 3180570412108379050570522783555109_<34>

(11·10⁴³+61)/9 =

12222222222222222222222222222222222222222229_<44>

= 23 · 4021 · 386100139979_<12> · 342285346869600634888209397_<27>

(11·10⁴⁴+61)/9 =

122222222222222222222222222222222222222222229_<45>

= 3 · 17 · 43 · 5900830337981_<13> · 9444922880006556968640934313_<28>

(11·10⁴⁵+61)/9 =

1222222222222222222222222222222222222222222229_<46>

= 246283501 · 4009159342887613_<16> · 1237831526534841681533_<22>

(11·10⁴⁶+61)/9 =

12222222222222222222222222222222222222222222229_<47>

= 7 · 29 · 1129 · 8828723 · 23563416971_<11> · 256344519152955338753399_<24>

(11·10⁴⁷+61)/9 =

122222222222222222222222222222222222222222222229_<48>

= 3 · 668143569596589835267_<21> · 60976027600383986453354029_<26>

(11·10⁴⁸+61)/9 =

1222222222222222222222222222222222222222222222229_<49>

= 1531 · 2389 · 56737 · 34517925472277921_<17> · 170627009842693188403_<21>

(11·10⁴⁹+61)/9 =

12222222222222222222222222222222222222222222222229_<50>

= 433 · 130073 · 296213 · 965318448673_<12> · 758927695041593907034969_<24>

(11·10⁵⁰+61)/9 =

122222222222222222222222222222222222222222222222229_<51>

= 3² · 151 · 1031 · 3121 · 29441655038786757049_<20> · 949327507715486235269_<21>

(11·10⁵¹+61)/9 =

1222222222222222222222222222222222222222222222222229_<52>

= definitely prime number

(11·10⁵²+61)/9 =

12222222222222222222222222222222222222222222222222229_<53>

= 7 · 1746031746031746031746031746031746031746031746031747_<52>

(11·10⁵³+61)/9 =

122222222222222222222222222222222222222222222222222229_<54>

= 3 · 5939 · 34052267 · 2843067991_<10> · 70856928054566823318352188819521_<32>

(11·10⁵⁴+61)/9 =

1222222222222222222222222222222222222222222222222222229_<55>

= 547 · 2234409912654885232581759089985781027828559821247207_<52>

(11·10⁵⁵+61)/9 =

12222222222222222222222222222222222222222222222222222229_<56>

= 19² · 149 · 1901 · 10267 · 1198511 · 35167107715436629_<17> · 276218237948877613157_<21>

(11·10⁵⁶+61)/9 =

122222222222222222222222222222222222222222222222222222229_<57>

= 3 · 1103 · 39286061 · 120789017 · 7783724841157549560985924857833960213_<37>

(11·10⁵⁷+61)/9 =

1222222222222222222222222222222222222222222222222222222229_<58>

= definitely prime number

(11·10⁵⁸+61)/9 =

12222222222222222222222222222222222222222222222222222222229_<59>

= 7 · 359 · 4863598178361409559181146924879515408763319626829376133_<55>

(11·10⁵⁹+61)/9 =

122222222222222222222222222222222222222222222222222222222229_<60>

= 3³ · 8369 · 341298583680030115333_<21> · 1584814213899157907458795670494451_<34>

(11·10⁶⁰+61)/9 =

1222222222222222222222222222222222222222222222222222222222229_<61>

= 17 · 3251 · 8586967 · 5947617288742665517_<19> · 433013539126310258202097142933_<30>

(11·10⁶¹+61)/9 =

12222222222222222222222222222222222222222222222222222222222229_<62>

= 73679 · 5717876080491495127272973_<25> · 29011602203191138962029608295687_<32>

(11·10⁶²+61)/9 =

122222222222222222222222222222222222222222222222222222222222229_<63>

= 3 · 859 · 15190871 · 2212603046911336259293_<22> · 1411073303212228722701115990559_<31>

(11·10⁶³+61)/9 =

1222222222222222222222222222222222222222222222222222222222222229_<64>

= definitely prime number

(11·10⁶⁴+61)/9 =

12222222222222222222222222222222222222222222222222222222222222229_<65>

= 7² · 47 · 217969 · 701259451 · 324092485747626467_<18> · 107130668969099709000592626091_<30>

(11·10⁶⁵+61)/9 =

122222222222222222222222222222222222222222222222222222222222222229_<66>

= 3 · 23 · 43 · 2543 · 200807 · 21549719 · 609495222765109_<15> · 6141797648537380504409824437097_<31>

(11·10⁶⁶+61)/9 =

1222222222222222222222222222222222222222222222222222222222222222229_<67>

= 42271829557171_<14> · 10766373447642559_<17> · 2685528038310079726654356831653406761_<37>

(11·10⁶⁷+61)/9 =

12222222222222222222222222222222222222222222222222222222222222222229_<68>

= 59 · 3373 · 260453 · 104911043 · 2247663297757411103885319902967716728089076281893_<49>

(11·10⁶⁸+61)/9 =

122222222222222222222222222222222222222222222222222222222222222222229_<69>

= 3² · 829 · 71653758749_<11> · 228619967441479789885633921295561257867017052876727461_<54>

(11·10⁶⁹+61)/9 =

1222222222222222222222222222222222222222222222222222222222222222222229_<70>

= 25900579 · 363300011357_<12> · 6249132425611_<13> · 20785264893111252704910114757665545113_<38>

(11·10⁷⁰+61)/9 =

12222222222222222222222222222222222222222222222222222222222222222222229_<71>

= 7 · 984862305784718796593401_<24> · 1772868893221111236803490616283602566866681947_<46>

(11·10⁷¹+61)/9 =

122222222222222222222222222222222222222222222222222222222222222222222229_<72>

= 3 · 131 · 449 · 1049 · 82781 · 51449447066557_<14> · 155033094602677539743210384006916419778400109_<45>

(11·10⁷²+61)/9 =

1222222222222222222222222222222222222222222222222222222222222222222222229_<73>

= 931943 · 1014562645573_<13> · 93243647631913_<14> · 3775529650663789_<16> · 3671849032914715473278923_<25>

(11·10⁷³+61)/9 =

12222222222222222222222222222222222222222222222222222222222222222222222229_<74>

= 19 · 2087 · 19819408877423_<14> · 4750791934663041394747981_<25> · 3273538235141227673941179098011_<31>

(11·10⁷⁴+61)/9 =

122222222222222222222222222222222222222222222222222222222222222222222222229_<75>

= 3 · 29 · 1091 · 1244471 · 1034716541149678538067625939166914035487111659855826077020809847_<64>

(11·10⁷⁵+61)/9 =

1222222222222222222222222222222222222222222222222222222222222222222222222229_<76>

= 173 · 29123 · 86143510649407074441246376027_<29> · 2816082641458210493470830965868867357113_<40>

(11·10⁷⁶+61)/9 =

12222222222222222222222222222222222222222222222222222222222222222222222222229_<77>

= 7 · 17 · 91693115999621_<14> · 1120124980451071412521869657133144791593823362553376055015671_<61>

(11·10⁷⁷+61)/9 =

122222222222222222222222222222222222222222222222222222222222222222222222222229_<78>

= 3² · 109 · 1607 · 3833 · 1300753345641161_<16> · 15550040365003378274043395068896044099475754639442999_<53>

(11·10⁷⁸+61)/9 =

1222222222222222222222222222222222222222222222222222222222222222222222222222229_<79>

= 209650046334277754983736675726518139_<36> · 5829820901987509123411186383387000403979311_<43>

(11·10⁷⁹+61)/9 =

12222222222222222222222222222222222222222222222222222222222222222222222222222229_<80>

= 2753 · 12163 · 159553 · 336303396241_<12> · 16866869296577059_<17> · 403304019539003263808106260287728565373_<39>

(11·10⁸⁰+61)/9 =

122222222222222222222222222222222222222222222222222222222222222222222222222222229_<81>

= 3 · 103392493 · 394039640196515435030091988794009839193458085402203627498765705753325251_<72>

(11·10⁸¹+61)/9 =

1222222222222222222222222222222222222222222222222222222222222222222222222222222229_<82>

= 60719 · 103069304164423644917_<21> · 155060986155150805264411_<24> · 1259486972017905876579033905578493_<34>

(11·10⁸²+61)/9 =

12222222222222222222222222222222222222222222222222222222222222222222222222222222229_<83>

= 7 · 20106150322444508689_<20> · 787893357586454576077_<21> · 110218823602930123343962173961079716061599_<42>

(11·10⁸³+61)/9 =

122222222222222222222222222222222222222222222222222222222222222222222222222222222229_<84>

= 3 · 165877071623712161798260447_<27> · 2339818845858357172855013197_<28> · 104968822768458629288276514877_<30>

(11·10⁸⁴+61)/9 =

1222222222222222222222222222222222222222222222222222222222222222222222222222222222229_<85>

= 740209927 · 1240247861273_<13> · 470847385712588459_<18> · 2827526086302345374296136913860572022477259761_<46>

(11·10⁸⁵+61)/9 =

12222222222222222222222222222222222222222222222222222222222222222222222222222222222229_<86>

= 45157644935839489_<17> · 270656767853764268560242921582572394000904956753471504325742738880661_<69>

(11·10⁸⁶+61)/9 =

122222222222222222222222222222222222222222222222222222222222222222222222222222222222229_<87>

= 3⁴ · 43 · 139 · 19963 · 63785139254642599_<17> · 198260677639738785443695038019638001704367396966068989332241_<60>

(11·10⁸⁷+61)/9 =

1222222222222222222222222222222222222222222222222222222222222222222222222222222222222229_<88>

= 23 · 2291417727490163047142189832757889407943_<40> · 23190924980999832104367980851510309766809943861_<47> (Makoto Kamada / GGNFS-0.53.3-k1 / Total time: 0.24 hours (actual time: 0.27 hours))

(11·10⁸⁸+61)/9 =

12222222222222222222222222222222222222222222222222222222222222222222222222222222222222229_<89>

= 7 · 163 · 859 · 521743 · 119017817626309808512949_<24> · 200818053812880874542131072463030325254036332410099913_<54>

(11·10⁸⁹+61)/9 =

122222222222222222222222222222222222222222222222222222222222222222222222222222222222222229_<90>

= 3 · 295900307 · 22683710249502413_<17> · 6069730577172942101915046249961482590563984408183692712604593073_<64>

(11·10⁹⁰+61)/9 =

1222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229_<91>

= 55529 · 142567 · 17010491263107967_<17> · 160900505515814670320293067_<27> · 56407525379912986819292738457695730527_<38>

(11·10⁹¹+61)/9 =

12222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229_<92>

= 19 · 82241569 · 141387871787_<12> · 271493131160413_<15> · 383026547447779_<15> · 531992253022161759878093858895596796231011_<42>

(11·10⁹²+61)/9 =

122222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229_<93>

= 3 · 17 · 37963 · 6085576009973472276948408518790060022261_<40> · 10373320193362491669274956203555240587399976753_<47> (Makoto Kamada / GGNFS 0.54.1-k1 / 0.46 hours)

(11·10⁹³+61)/9 =

1222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229_<94>

= 6229 · 13108298202247_<14> · 2284269480929057_<16> · 6552970227623179819060400795852918383132198517500637310346519_<61>

(11·10⁹⁴+61)/9 =

12222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229_<95>

= 7 · 97 · 239572320313_<12> · 9200458593173_<13> · 8166468423932130300151949351323187200108715166850872317807824232399_<67>

(11·10⁹⁵+61)/9 =

122222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229_<96>

= 3² · 60869377267007_<14> · 223104745330475752645306483537935646418176150717006475014267010477959306974536083_<81>

(11·10⁹⁶+61)/9 =

1222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229_<97>

= 66887970609551654226877_<23> · 18272676104299207700498515966005902782397411681490059287029608301669845177_<74>

(11·10⁹⁷+61)/9 =

12222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229_<98>

= 268794703 · 366926632076477819_<18> · 23214952299210797207419639151_<29> · 5338047566508065971872870566643113839246447_<43>

(11·10⁹⁸+61)/9 =

122222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229_<99>

= 3 · 463 · 12159439168284127147_<20> · 7236596963507160493650944678314171680585387536842918063922486971335254735963_<76>

(11·10⁹⁹+61)/9 =

1222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229_<100>

= 571 · 5233 · 531103 · 1124413215997_<13> · 684949631905357537401572055878317283396355819598302138633109702457166470933_<75>

(11·10¹⁰⁰+61)/9 =

12222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229_<101>

= 7 · 24634112495479_<14> · 70878613806451855928034776437851830709206993865440488307085883190152732705459238711893_<86>

(11·10¹⁰¹+61)/9 =

1(2)₁₀₀9_<102>

= 3 · 41911 · 218387322739_<12> · 8908407116689_<13> · 499658658157673558516245429276829528055704055480959058792934265945925403_<72>

(11·10¹⁰²+61)/9 =

1(2)₁₀₁9_<103>

= 29 · 11783 · 20743031 · 75581651 · 423125611913833790887_<21> · 309948654487224819461803_<24> · 17395969593404150322396356464181473967_<38>

(11·10¹⁰³+61)/9 =

1(2)₁₀₂9_<104>

= 449 · 4505922848254269636787523113_<28> · 6041156455946151649604772977472806106407964094390046940969148389957671117_<73>

(11·10¹⁰⁴+61)/9 =

1(2)₁₀₃9_<105>

= 3² · 673 · 24411791 · 31761217954515514251947_<23> · 67757674779506400450570068808720617_<35> · 384093817661316071489542209680453633_<36> (Makoto Kamada / Msieve 1.33 for P35 x P36 / 3.2 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / Feb 11, 2008)

(11·10¹⁰⁵+61)/9 =

1(2)₁₀₄9_<106>

= 760367 · 214868011 · 1918768781_<10> · 3898813921660081546852914422544101272150288280836987469607306851695319989978682357_<82>

(11·10¹⁰⁶+61)/9 =

1(2)₁₀₅9_<107>

= 7² · 3266371 · 2399652613_<10> · 1519423549141_<13> · 258937552008394777541_<21> · 5335706716598657826982720423_<28> · 15159133168636716402834744629_<29>

(11·10¹⁰⁷+61)/9 =

1(2)₁₀₆9_<108>

= 3 · 43 · 967491665150369_<15> · 8254078063236444636671476566658758452630059_<43> · 118643694302743846510055142733530124877331720031_<48> (Robert Backstrom / Msieve v. 1.33 for P43 x P48 / Feb 12, 2008)

(11·10¹⁰⁸+61)/9 =

1(2)₁₀₇9_<109>

= 17² · 670199 · 5739521401_<10> · 870221367059129_<15> · 1263406582566694920802957646235826014886107801596598344616694450588625869091_<76>

(11·10¹⁰⁹+61)/9 =

1(2)₁₀₈9_<110>

= 19 · 23 · 19389658353125041_<17> · 25963864742768432702463389177291_<32> · 55555779286126867906535634003991867240948718030556740625907_<59> (Robert Backstrom / GMP-ECM 6.1.3 B1=926000, sigma=511613662 for P32 / Feb 11, 2008)

(11·10¹¹⁰+61)/9 =

1(2)₁₀₉9_<111>

= 3 · 47 · 1987 · 1129805466417703_<16> · 386126425172368025334253415510283411962783328102083744392406597827675872834446796724686629_<90>

(11·10¹¹¹+61)/9 =

1(2)₁₁₀9_<112>

= 61151 · 560672479919_<12> · 35648180864758173321427016495432143493923043616373130703652764388439924428097711606236440426341_<95>

(11·10¹¹²+61)/9 =

1(2)₁₁₁9_<113>

= 7 · 22171 · 289088113781_<12> · 23364777919548735601339497408589195152559_<41> · 11659366680299595782072792886752985694167830402696085083_<56> (Robert Backstrom / GMP-ECM 6.0 B1=3256000, sigma=672611997 for P41 / Feb 12, 2008)

(11·10¹¹³+61)/9 =

1(2)₁₁₂9_<114>

= 3³ · 32797 · 89185329511743931743340432259475771218472031894737047_<53> · 1547600532511926130818633628615142423602309348889997853_<55> (Sinkiti Sibata / GGNFS-0.77.1-20060513-pentium4 snfs / 2.44 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Feb 12, 2008)

(11·10¹¹⁴+61)/9 =

1(2)₁₁₃9_<115>

= 593 · 859 · 463028567 · 4051278836053_<13> · 770156692582397162787143897_<27> · 1660822819851972951984487503197430024077183093038121174623261_<61>

(11·10¹¹⁵+61)/9 =

1(2)₁₁₄9_<116>

= 223 · 617 · 7212822845172862724558959691868961_<34> · 12315580379654942378938247217218906466558770709724027914022290754605779304179_<77> (Sinkiti Sibata / GGNFS-0.77.1-20060513-pentium4 snfs / 1.61 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Feb 12, 2008)

(11·10¹¹⁶+61)/9 =

1(2)₁₁₅9_<117>

= 3 · 12697 · 34468585924009_<14> · 544255525938262939_<18> · 7249763294713614421819401983_<28> · 23592700814083132490529493430935569637483794759032443_<53>

(11·10¹¹⁷+61)/9 =

1(2)₁₁₆9_<118>

= 199 · 6247 · 1710937 · 158006612980033_<15> · 263003561317130722985502794515043_<33> · 13827850710715765070628800684573938236616215726252446506831_<59> (Robert Backstrom / GMP-ECM 6.0 B1=282000, sigma=2790588809 for P33 / Feb 11, 2008)

(11·10¹¹⁸+61)/9 =

1(2)₁₁₇9_<119>

= 7 · 173 · 317 · 22343 · 247739 · 1167709 · 4925794359652010031124599439696530875194354133293774397638698828663548322818956610932215140679619_<97>

(11·10¹¹⁹+61)/9 =

1(2)₁₁₈9_<120>

= 3 · 761 · 457061314137360899_<18> · 297331187884013676219113574010340108544431_<42> · 393939323086765551889841121296691017236081365848804304827_<57> (Robert Backstrom / Msieve v. 1.33 / Feb 12, 2008)

(11·10¹²⁰+61)/9 =

1(2)₁₁₉9_<121>

= 386483812601_<12> · 709478231970229067327_<21> · 4134456124981221404023_<22> · 50621252841083998536428401_<26> · 21297494507033215432497757884738683259749_<41>

(11·10¹²¹+61)/9 =

1(2)₁₂₀9_<122>

= 33827 · 32241098711_<11> · 318765281277291229_<18> · 35156517246177790667877961804366692720076357847066490871855322712535365449503432162087333_<89>

(11·10¹²²+61)/9 =

1(2)₁₂₁9_<123>

= 3² · 14407 · 2647781 · 333841766513_<12> · 297503734133717291_<18> · 3584420543552154046297946000788639341555900007420260475384581372216609230764849021_<82>

(11·10¹²³+61)/9 =

1(2)₁₂₂9_<124>

= 70607 · 133813186965299890511_<21> · 10137105138517733202360425644260487744453606741_<47> · 12761142295089496212129634669299067935927677632288097_<53> (Robert Backstrom / GGNFS-0.77.1-20050930-k8 snfs, Msieve 1.33 / Feb 12, 2008)

(11·10¹²⁴+61)/9 =

1(2)₁₂₃9_<125>

= 7 · 17 · 684337 · 770333097589602317_<18> · 3351235041384513193_<19> · 53623411294134912239_<20> · 1084164812818669846774496091262595004788087807922419548320377_<61>

(11·10¹²⁵+61)/9 =

1(2)₁₂₄9_<126>

= 3 · 59 · 151² · 911 · 1097 · 79829 · 7660803749_<10> · 640267395353242440209941_<24> · 77392985044734776975494842869690886025382537786510510026138513653518079871_<74>

(11·10¹²⁶+61)/9 =

1(2)₁₂₅9_<127>

= 95376986717473_<14> · 12814644960872012229559204060439605497351710686483616717126732074917468876977943868452981949876838252135975977973_<113>

(11·10¹²⁷+61)/9 =

1(2)₁₂₆9_<128>

= 19 · 20173 · 234833 · 417451 · 3358499287309_<13> · 96853694980744279240047379139323838552871029845469139211594513872723691757147547042365433224899661_<98>

(11·10¹²⁸+61)/9 =

1(2)₁₂₇9_<129>

= 3 · 43 · 1318289411_<10> · 2456987123_<10> · 155536425469_<12> · 1880679140353900768587371338479990599761084422423014549035757050841257129313945115243765167388193_<97>

(11·10¹²⁹+61)/9 =

1(2)₁₂₈9_<130>

= 3547 · 149447251 · 2305690745453734438523384041454443728481829976877388410270090808535496202381477638482114530256875042196288733346135957_<118>

(11·10¹³⁰+61)/9 =

1(2)₁₂₉9_<131>

= 7 · 29 · 367 · 408203 · 401894332110096882291921244313598926333638941415808576257104356682268297330627951575038174334938470041527267503518753043_<120>

(11·10¹³¹+61)/9 =

1(2)₁₃₀9_<132>

= 3² · 23 · 128341229 · 587699374274461_<15> · 27843156313687337057580167590404968827671407657_<47> · 281151200709441301666481826274926616585678854755382437224859_<60> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / 5.23 hours on Cygwin on AMD 64 3200+ / Feb 13, 2008)

(11·10¹³²+61)/9 =

1(2)₁₃₁9_<133>

= 139 · 683 · 703897 · 7188521284733_<13> · 2544286388538115842186183179212973407329062855809892072181129138976028087769409546972912243855451288341769417_<109>

(11·10¹³³+61)/9 =

1(2)₁₃₂9_<134>

= 1123 · 24671 · 36941389931_<11> · 411554441411373367_<18> · 480338721907130389_<18> · 60408151058526308730149280582430830793393578779335595853498589470612312481276921_<80>

(11·10¹³⁴+61)/9 =

1(2)₁₃₃9_<135>

= 3 · 887 · 35863 · 6443166705211_<13> · 5420992073158442273512673551_<28> · 72262687717088370908767938209_<29> · 507418660021790002190944224034674082883979558173581771547_<57> (Robert Backstrom / GMP-ECM 6.0.1 B1=428000, sigma=40110239 for P29 / Feb 11, 2008)

(11·10¹³⁵+61)/9 =

1(2)₁₃₄9_<136>

= 449 · 44733788040439743106075919870152803049769_<41> · 60851061573677909538404481871209053051577251320251971454994510548611542213319025413140789709_<92> (Sinkiti Sibata / GGNFS-0.77.1-20060513-pentium4 snfs / 8.34 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Feb 12, 2008)

(11·10¹³⁶+61)/9 =

1(2)₁₃₅9_<137>

= 7 · 193 · 349 · 5147 · 5036342204830393837614970112612168044044289786195399999277248265663530626892523679966607615366596820846151406285538312071714893_<127>

(11·10¹³⁷+61)/9 =

1(2)₁₃₆9_<138>

= 3 · 2608315158960413241863591725014062287_<37> · 3302992739511359700540576991511204918126169779_<46> · 4728912045866904847657086157801846080638041217325830291_<55> (Sinkiti Sibata / GGNFS-0.77.1-20060513-pentium4 snfs / 16.64 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Feb 13, 2008)

(11·10¹³⁸+61)/9 =

1(2)₁₃₇9_<139>

= 45763 · 23162222802646541_<17> · 101168431212342794933_<21> · 11397521977561265417458279893990993788897694578283570023606201343327214295288803927319937369998711_<98>

(11·10¹³⁹+61)/9 =

1(2)₁₃₈9_<140>

= 2971 · 259472789669_<12> · 15854615086912721895258363872685505854502463663591475671663956673902895313144277397514087988416967826118712042803955246926371_<125>

(11·10¹⁴⁰+61)/9 =

1(2)₁₃₉9_<141>

= 3³ · 17 · 113 · 859 · 1481 · 161577482603_<12> · 7011984787650756568692931_<25> · 1634891822776071497657327208133152513537244598631583781750342677726354215758200432136750341621_<94>

(11·10¹⁴¹+61)/9 =

1(2)₁₄₀9_<142>

= 389 · 2729 · 2052899 · 28012321283_<11> · 20020750653188211486960161461906045347663737626832396667155290349886889404530817890887932551087660458243398753554843777_<119>

(11·10¹⁴²+61)/9 =

1(2)₁₄₁9_<143>

= 7 · 4127 · 36353 · 982027751 · 23796559001_<11> · 174608645641_<12> · 1259978510584690879_<19> · 9282942323843065585529_<22> · 4316312325994033826953871_<25> · 56495270317385885703739650606158104387_<38>

(11·10¹⁴³+61)/9 =

1(2)₁₄₂9_<144>

= 3 · 283937 · 84618107310934342629857_<23> · 1695678933004824022947964970455310491766039797759258152277633442910048446923879364043639514647152022344879230683527_<115>

(11·10¹⁴⁴+61)/9 =

1(2)₁₄₃9_<145>

= 611795764847397761032073514896073448555427693_<45> · 1997761822570127057468384244424067756878599815628503448366355433606752749308486975935581518284356553_<100> (Robert Backstrom / GGNFS-0.77.1-20060513-athlon-xp snfs / 12.91 hours on Cygwin on AMD 64 3200+ / Feb 13, 2008)

(11·10¹⁴⁵+61)/9 =

1(2)₁₄₄9_<146>

= 19 · 547 · 2443361 · 258607654347859483_<18> · 1861145110800022764945922832565868165376213165193311689598084734246660178639694836576267806494218431484147585675228231_<118>

(11·10¹⁴⁶+61)/9 =

1(2)₁₄₅9_<147>

= 3 · 62188614383244022472029465985668051260768030696286619714122612487056057_<71> · 655115749800623400328076022959829614473983866531716207736106837240179182399_<75> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / 8.95 hours on Cygwin on AMD 64 X2 6000+ / Feb 13, 2008)

(11·10¹⁴⁷+61)/9 =

1(2)₁₄₆9_<148>

= 227 · 50647 · 32830739197093_<14> · 48362529052411789499072324359991381_<35> · 3144183907883242907077468873230638509_<37> · 21294771654514384272421899428463822955945910176527190253_<56> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=17348248 for P37 / Feb 7, 2008) (Robert Backstrom / GMP-ECM 6.0.1 B1=1036000, sigma=2032621643 for P35 / Feb 11, 2008)

(11·10¹⁴⁸+61)/9 =

1(2)₁₄₇9_<149>

= 7² · 1633007 · 73216302241_<11> · 2824656770917_<13> · 11902378768854297574550472754083771786485974613585009_<53> · 62052432086827128788540349410927173560773558990532128882788082911_<65> (Sinkiti Sibata / GGNFS-0.77.1-20060513-pentium4 snfs / 49.88 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Feb 15, 2008)

(11·10¹⁴⁹+61)/9 =

1(2)₁₄₈9_<150>

= 3² · 43 · 6242261523111451604167188855731_<31> · 5345904564855449996407866180568566463290283484418398029_<55> · 9464028719153806681139681352642106781803923220341415398103633_<61> (Sinkiti Sibata / GGNFS-0.77.1-20060513-pentium4 snfs / 37.15 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Feb 17, 2008)

(11·10¹⁵⁰+61)/9 =

1(2)₁₄₉9_<151>

= definitely prime number

(11·10¹⁵¹+61)/9 =

1(2)₁₅₀9_<152>

= 263 · 68841767671_<11> · 116471927041_<12> · 5795903592713814118372030223088538294251329916878418537019320695882132393809696771740458600854351014953027613392755294911952853_<127>

(11·10¹⁵²+61)/9 =

1(2)₁₅₁9_<153>

= 3 · 941 · 270071 · 49819032261373_<14> · 5190097918822122001_<19> · 619998311086705847427381994009088603371754229842796430137781496834926258532119275803920572783894497556893591081_<111>

(11·10¹⁵³+61)/9 =

1(2)₁₅₂9_<154>

= 23 · 491 · 1031 · 104974105417115228176439369385430149576553067793317476326693043605565830134700768020138843141650903134695700633777344215636204106955367596556876063_<147>

(11·10¹⁵⁴+61)/9 =

1(2)₁₅₃9_<155>

= 7 · 17863 · 8339851921_<10> · 2238875695163_<13> · 47833469709551261_<17> · 55469083074372086331101_<23> · 1972997544503950781632187910432759148879576917036821813912960230790430847410902278010423_<88>

(11·10¹⁵⁵+61)/9 =

1(2)₁₅₄9_<156>

= 3 · 136040395772627_<15> · 65609810607588229201_<20> · 4564489897203005652129743885914596908410034923219007907048330888497175612701988999662967805330858527350922601933417974509_<121>

(11·10¹⁵⁶+61)/9 =

1(2)₁₅₅9_<157>

= 17 · 47 · 179 · 12953 · 17209875715197788000959381_<26> · 29845946184191717267874577_<26> · 548032553406737912069948181773_<30> · 1514882133549580656222713242379_<31> · 1547147479769819368154178387115940627_<37> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=916201806 for P31 / Feb 7, 2008) (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=1539198665 for P30 / Feb 7, 2008)

(11·10¹⁵⁷+61)/9 =

1(2)₁₅₆9_<158>

= 1499470118834882516029_<22> · 298230907234615127467511105889531439850968018155959379903529_<60> · 27331263575954269106179281929739251896488872337195589729335803802039679866769_<77> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 59.82 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Feb 14, 2008)

(11·10¹⁵⁸+61)/9 =

1(2)₁₅₇9_<159>

= 3² · 29 · 2417 · 850637 · 20357861 · 34953302776819747_<17> · 11920843112330238846091327134150343_<35> · 5533180785858157565411447744926232573_<37> · 4852734739010638529320321809660405214270996767425057_<52> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 65.85 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Feb 15, 2008)

(11·10¹⁵⁹+61)/9 =

1(2)₁₅₈9_<160>

= 31425825997_<11> · 338525024775349807_<18> · 8120901919160002151369_<22> · 14147132802198185173591428318095354233225456948894264187164823662038159729573569600256495840289547495290600879_<110>

(11·10¹⁶⁰+61)/9 =

1(2)₁₅₉9_<161>

= 7 · 316317381526758701_<18> · 1483611984731557267694074530155063_<34> · 3720563711585825353249049668598930117813079072610125563407773914202785970215359546760420442923601907083314569_<109> (Jo Yeong Uk / GMP-ECM 6.1.3 B1=1000000, sigma=1537280711 for P34 / Feb 12, 2008)

(11·10¹⁶¹+61)/9 =

1(2)₁₆₀9_<162>

= 3 · 173 · 60447642712069_<14> · 3895860957554518910280042010022288489985472288686284702656165594852197269683706529019970658409758340105243682698438636211469500361496647930577639_<145>

(11·10¹⁶²+61)/9 =

1(2)₁₆₁9_<163>

= 20261869 · 4397514257355735431046180629_<28> · 13717135111296137844505868626049911349792611476234412626551435652516579677033706568509564146562451630632685009518023524454409829_<128>

(11·10¹⁶³+61)/9 =

1(2)₁₆₂9_<164>

= 19 · 16947381320627_<14> · 101180932629053_<15> · 8263228576005715577833_<22> · 16378218556925197956736717513_<29> · 2771908350372558082242424067953839336852121538384645990755074102384203753854798881409_<85>

(11·10¹⁶⁴+61)/9 =

1(2)₁₆₃9_<165>

= 3 · 50497 · 806795269832677995539155608070593119209868719740593317241434951397919495034175114179866937456497232325499351263258029996648132378967874145805508064652172222919_<159>

(11·10¹⁶⁵+61)/9 =

1(2)₁₆₄9_<166>

= 409 · 80599 · 84487268400846963130771961910946989225423105211073_<50> · 404346314135854308052527269390940411387810076224120869_<54> · 1085306631461643435651060404463146659487393443172166287_<55> (Robert Backstrom / GGNFS-0.77.1-20050930-k8 snfs, Msieve 1.33 / Apr 1, 2008)

(11·10¹⁶⁶+61)/9 =

1(2)₁₆₅9_<167>

= 7 · 859 · 518311 · 149703707 · 59344581594398848525579_<23> · 441422960571727835018255694828601303278435977583471016696348823561503501310351086882591921204629349971148545089861181734618951_<126>

(11·10¹⁶⁷+61)/9 =

1(2)₁₆₆9_<168>

= 3⁴ · 449 · 33087070891123_<14> · 748005811625541632642916647689589194648693239663159298286037563308548193_<72> · 135786164695082180429353840411133841148804527719360141316474387898066866066119_<78> (Robert Backstrom / GGNFS-0.77.1-20060513-athlon-xp snfs, Msieve 1.36 / 113.07 hours on Cygwin on AMD 64 3200+ / Jun 20, 2008)

(11·10¹⁶⁸+61)/9 =

1(2)₁₆₇9_<169>

= 284576113 · 411666912515401882965759279521788799204135831_<45> · 10432917434026609382438829606769439297165342068877860732100883252228761348457631305397697008539566408107238406463843_<116> (Robert Backstrom / GGNFS-0.77.1-20050930-k8 snfs, Msieve 1.34 / 101.65 hours on Athlon 64 X2 6000+ / Jun 25, 2008)

(11·10¹⁶⁹+61)/9 =

1(2)₁₆₈9_<170>

= 163 · 373 · 1326643117_<10> · 151530351755507443449630492176287700066836988773713749557654668752590557855150472270899230978631570429822834454756810076287115075770933288752574527650524663_<156>

(11·10¹⁷⁰+61)/9 =

1(2)₁₆₉9_<171>

= 3 · 43 · 947459086993970714900947459086993970714900947459086993970714900947459086993970714900947459086993970714900947459086993970714900947459086993970714900947459086993970714901_<168>

(11·10¹⁷¹+61)/9 =

1(2)₁₇₀9_<172>

= 20113 · 1131324111422505426851137_<25> · 53713849620127719779229759451949921841858092620925401729884975080954266207249623576404072894995936414412720912742323171848635867664602497483909_<143>

(11·10¹⁷²+61)/9 =

1(2)₁₇₁9_<173>

= 7 · 17 · 12028479575122500852357107894999807304683_<41> · 731295526744164282624207366517572340820823022344947_<51> · 11676147223871752732879615382398657779764886931536666306447311056887715314521891_<80> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs, Msieve 1.36 / 132.61 hours on Cygwin on AMD 64 X2 6000+ / Jun 2, 2008)

(11·10¹⁷³+61)/9 =

1(2)₁₇₂9_<174>

= 3 · 167 · 9393214717_<10> · 3991464716169220319_<19> · 370213993053058810577180008052464963_<36> · 135581314979100013821605633469943622819_<39> · 129632302176827106237494463843268187181151032935432367315492954199859_<69> (Serge Batalov / GMP-ECM 6.2.1 B1=2000000, sigma=774383078 for P36, pol51+Msieve 1.36 gnfs for P39 x P69 / 8.50 hours on Opteron-2.6GHz; Linux x86_64 / Aug 9, 2008)

(11·10¹⁷⁴+61)/9 =

1(2)₁₇₃9_<175>

= 149877697 · [8154797189219035185883742410468331537161411161943742852028358977401569108859620535950870810499725134035267583690068457765415372123193367604402289569623038858291385557_<166>] SUBMIT/RESERVE

(11·10¹⁷⁵+61)/9 =

1(2)₁₇₄9_<176>

= 23 · 19759 · 214237 · 12357620341211_<14> · 19638702105536341_<17> · 388229444024247486919_<21> · 1332375994546810683173722171162531104929512628097158192164330528564487432526755503179453623736573946893413365503649_<115>

(11·10¹⁷⁶+61)/9 =

1(2)₁₇₅9_<177>

= 3² · 3001 · 10343 · 347987 · 49411057827007_<14> · [25445323373194071576010003463825297936683153964922344351156347670931795446864483615366700036031576832820358250673044105820667960928116581434734346063_<149>] SUBMIT/RESERVE

(11·10¹⁷⁷+61)/9 =

1(2)₁₇₆9_<178>

= 79349 · 2847072568584901_<16> · 66891149307577073_<17> · 107742961189594724011237_<24> · 750676145661093810258947996574989563518150068269868984287286590212039875168704866806256873125180968067776913591540921_<117>

(11·10¹⁷⁸+61)/9 =

1(2)₁₇₇9_<179>

= 7 · 139 · 1553 · 2803 · 384326360200333_<15> · 7508317153445167092626889665791261601956294531570254890663337577741663427816690228612791736632192395733870675502291554918889735878099423980009462634746959_<154>

(11·10¹⁷⁹+61)/9 =

1(2)₁₇₈9_<180>

= 3 · 881 · 11257 · 2314479202490003_<16> · 786651641205601037_<18> · 1884486715827675151921_<22> · 85380580485467438971775926519_<29> · 5668515266715406631818778604583_<31> · 2473848539767263997833739234235100303196482843128350029817_<58> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=2756313097 for P31 / Feb 9, 2008)

(11·10¹⁸⁰+61)/9 =

1(2)₁₇₉9_<181>

= 229 · 233 · 74114863 · 309067587515417540413552306117597545901691154631974979259149584059257241141254941286164521634749635701539799442522988933072437415153789114571011958741243842339956720519_<168>

(11·10¹⁸¹+61)/9 =

1(2)₁₈₀9_<182>

= 19 · 5003 · 5981 · 565049694810569_<15> · [38045704004947974476978005295278938728700042080267729415172584604132713065280861541942018016886062739104739134924171059713880259774671210010931014754095068673_<158>] SUBMIT/RESERVE

(11·10¹⁸²+61)/9 =

1(2)₁₈₁9_<183>

= 3 · 5287159 · 6837552090639889_<16> · 215270056119179928842411146396979_<33> · 386743518904360880703905991006429255227_<39> · 15816269637526716768726379630499787809243_<41> · 855845109201103507837814977690861986896119008947_<48> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=1489068200 for P33 / Feb 9, 2008) (Robert Backstrom / GMP-ECM 6.1.3 B1=4700000, sigma=4164732629 for P39, Msieve v. 1.34 for P41 x P48 / May 8, 2008)

(11·10¹⁸³+61)/9 =

1(2)₁₈₂9_<184>

= 59 · 28279 · 763739983 · 17059568775145453_<17> · 11859838734355021229_<20> · [4740692172983764688112992463787701381880783540886609186466419533788084671379339727815000294881228710786433524416307234286876774284559_<133>] SUBMIT/RESERVE

(11·10¹⁸⁴+61)/9 =

1(2)₁₈₃9_<185>

= 7 · 247308527 · 4520485087_<10> · 1561809298355419468401096479077648706655970880794195642968896471995130132915987391896055777358807065596564028264814889260219282355424274176800681266641446119565058803_<166>

(11·10¹⁸⁵+61)/9 =

1(2)₁₈₄9_<186>

= 3² · 109 · 124589421225506852418167402876882999207158228564956393702571072601653641408993090950277494620002265262204100124589421225506852418167402876882999207158228564956393702571072601653641409_<183>

(11·10¹⁸⁶+61)/9 =

1(2)₁₈₅9_<187>

= 29 · 523 · 600520042895593_<15> · 24385069677375753394289_<23> · 5502993263011491961582438997447689197405016950651981737547790873385984372456071022755014218225851784552490425372929168213733045272983913633850531_<145>

(11·10¹⁸⁷+61)/9 =

1(2)₁₈₆9_<188>

= 385267 · 2351194829_<10> · 13492727413864750927365443177640240050273645631320343945301579217546713098691285195515630874279218105170447328219939233309580475607227576467184027175263292121884390167924403_<173>

(11·10¹⁸⁸+61)/9 =

1(2)₁₈₇9_<189>

= 3 · 17 · 55787 · 9045497 · [4749135471832944356169909634899884609783312479852119551728760063745896648025410525866723875073691726044664605368494865741731877524590427936409094904236873873571316577723489261_<175>] SUBMIT/RESERVE

(11·10¹⁸⁹+61)/9 =

1(2)₁₈₈9_<190>

= 181 · 997 · 7040413 · 30646239283963_<14> · [31390708511049562436810080062969650302122567268423770599647590878616037606336206074110902616599056453584027709327756162758474631859491969851275647138338899640098563_<164>] SUBMIT/RESERVE

(11·10¹⁹⁰+61)/9 =

1(2)₁₈₉9_<191>

= 7² · 97 · 43201 · 992937611269_<12> · 2410038067178729457629_<22> · [24873832051279840435458978051241830538283361502907706202701870182056396434891594809410144814646571626585033878673309320385273449799580694636084754293_<149>] SUBMIT/RESERVE

(11·10¹⁹¹+61)/9 =

1(2)₁₉₀9_<192>

= 3 · 43 · 652811 · 23351113 · 5295272972667798731202152167_<28> · [11737539402292541692621143470794498274430582462006126488822841210090427574220233767000023751274711608334132747761715659790085658844281273033540865921_<149>] SUBMIT/RESERVE

(11·10¹⁹²+61)/9 =

1(2)₁₉₁9_<193>

= 557 · 859 · 62801 · 458747 · 24495143 · 3619778875034837507995227294338604385170140985518326665489215029776231678513981307482293289970136693578911722592508767805692419386989678315460875223979056969431262550423_<169>

(11·10¹⁹³+61)/9 =

1(2)₁₉₂9_<194>

= 307 · 19797329147_<11> · 72336523249489_<14> · 80195495091942007_<17> · [346655098876312649283917198952541939420053043940207189446772740123193178657976259666578081484497376562508043972489011936443196774689965250786575794787_<150>] SUBMIT/RESERVE

(11·10¹⁹⁴+61)/9 =

1(2)₁₉₃9_<195>

= 3³ · 2778697 · 5996807209_<10> · 44530551136199133811137908393_<29> · [6100522906481980313205279747383117110906194377574821296515668954235988206903230021902246371652883136385002347846845463016353013141154552303967509543_<148>] SUBMIT/RESERVE

(11·10¹⁹⁵+61)/9 =

1(2)₁₉₄9_<196>

= 194093 · 197423 · 902158853 · 69917096070902921_<17> · [505680443903975398414855721305732561093780703415117921284326032059425934654646485728442044069743883462574991401692386242014464580708731092576656126818799770947_<159>] SUBMIT/RESERVE

(11·10¹⁹⁶+61)/9 =

1(2)₁₉₅9_<197>

= 7 · 743 · [2349975432075028306522249994659146745284026576085795466683757397081757781623192121173278642996005041765472451878912175009079450533017154820654147706637612424961011771240573394005426306906791429_<193>] SUBMIT/RESERVE

(11·10¹⁹⁷+61)/9 =

1(2)₁₉₆9_<198>

= 3 · 23 · 317 · 12442124008343_<14> · 2131277956356383123_<19> · 202907528118539203723_<21> · [1038506081042651623853576201072436625198140180871501297515091378465604204410270519119707278831520355108842915120345672701904057472916207222259_<142>] SUBMIT/RESERVE

(11·10¹⁹⁸+61)/9 =

1(2)₁₉₇9_<199>

= 30937210364598202892396209_<26> · 39506542697877660981203827954333753727025843077062672492236409916677826480996920296609154107295251400895355407638014435867704960175754601660814225721186927710662861523487781_<173>

(11·10¹⁹⁹+61)/9 =

1(2)₁₉₈9_<200>

= 19 · 449 · 3841095258017395523843912468543_<31> · [372988254599477911916222836024223504927065229009928696460004135733498615633072233566730189925228638215606368739612714868913553887169813562866201417920242857682106313_<165>] (Sinkiti Sibata / GMP-ECM B1=1000000, sigma=1253208643 for P31 / Mar 15, 2008) SUBMIT/RESERVE

(11·10²⁰⁰+61)/9 =

1(2)₁₉₉9_<201>

= 3 · 151 · 24943 · 45662016601_<11> · 1524901907986187_<16> · 94610625340730388178053906091_<29> · 1641974387871911535005215605483772552567091532408537792488946722276397459087804979291201942100665954021627052634783998184758342543937713903_<139>

4. References

• A102931 (On-Line Encyclopedia of Integer Sequences)