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Factorizations of 522...229

About 522...229
- First ten terms
- General term
Prime numbers of the form 522...229
Factorizations of 522...229
References

1. About 522...229

First ten terms

59, 529, 5229, 52229, 522229, 5222229, 52222229, 522222229, 5222222229, 52222222229

General term

(47·10ⁿ+61)/9

2. Prime numbers of the form 522...229

Last update

Sep 20, 2010

Searched up to

n≤30000

Difficulty of search

20.59%

Results

(47·10¹+61)/9 = 59 is prime.
(47·10⁵+61)/9 = 522229 is prime.
(47·10¹¹+61)/9 = 5(2)₁₀9_<12> is prime.
(47·10¹⁴+61)/9 = 5(2)₁₃9_<15> is prime.
(47·10⁶²+61)/9 = 5(2)₆₁9_<63> is prime.
(47·10⁷⁴+61)/9 = 5(2)₇₃9_<75> is prime.
(47·10¹⁰⁷+61)/9 = 5(2)₁₀₆9_<108> is prime. (searched by Makoto Kamada / Nov 29, 2004) (certified by Makoto Kamada / PPSIQS / Jan 4, 2005)
(47·10¹¹⁰+61)/9 = 5(2)₁₀₉9_<111> is prime. (searched by Makoto Kamada / Nov 29, 2004) (certified by Makoto Kamada / PPSIQS / Jan 4, 2005)
(47·10¹²¹+61)/9 = 5(2)₁₂₀9_<122> is prime. (searched by Makoto Kamada / Nov 29, 2004) (certified by Makoto Kamada / PPSIQS / Jan 4, 2005)
(47·10¹²⁸+61)/9 = 5(2)₁₂₇9_<129> is prime. (searched by Makoto Kamada / Nov 29, 2004) (certified by Makoto Kamada / PPSIQS / Jan 4, 2005)
(47·10¹³⁹+61)/9 = 5(2)₁₃₈9_<140> is prime. (searched by Makoto Kamada / Nov 29, 2004) (certified by Makoto Kamada / PPSIQS / Jan 4, 2005)
(47·10³²⁰+61)/9 = 5(2)₃₁₉9_<321> is prime. (searched by Makoto Kamada / Nov 29, 2004) (certified by Makoto Kamada / PPSIQS / Jan 4, 2005)
(47·10²⁹⁵⁶+61)/9 = 5(2)₂₉₅₅9_<2957> is PRP. (Makoto Kamada / PFGW / Dec 17, 2004)
(47·10¹¹¹¹⁶+61)/9 = 5(2)₁₁₁₁₅9_<11117> is PRP. (Ray Chandler / srsieve, PFGW / Sep 9, 2010)

3. Factorizations of 522...229

Last update

Feb 1, 2012

Completed up to

n≤100 / Nov 29, 2004
n≤150 / Mar 18, 2009

Range

n≤205

Terms which have not been factored yet

n=177, 181, 183, 185, 190, 192, 201, 202 (8/205)

Results

(47·10¹+61)/9 =: 59; = definitely prime number

(47·10²+61)/9 =: 529; = 23²

(47·10³+61)/9 =: 5229; = 3² · 7 · 83

(47·10⁴+61)/9 =: 52229; = 29 · 1801

(47·10⁵+61)/9 =: 522229; = definitely prime number

(47·10⁶+61)/9 =: 5222229; = 3 · 31 · 233 · 241

(47·10⁷+61)/9 =: 52222229; = 73 · 715373

(47·10⁸+61)/9 =: 522222229; = 43 · 677 · 17939

(47·10⁹+61)/9 =: 5222222229_<10>; = 3 · 7 · 1279 · 194431

(47·10¹⁰+61)/9 =: 52222222229_<11>; = 467 · 9209 · 12143

(47·10¹¹+61)/9 =: 522222222229_<12>; = definitely prime number

(47·10¹²+61)/9 =: 5222222222229_<13>; = 3² · 48271 · 12020611

(47·10¹³+61)/9 =: 52222222222229_<14>; = 17 · 554747 · 5537471

(47·10¹⁴+61)/9 =: 522222222222229_<15>; = definitely prime number

(47·10¹⁵+61)/9 =: 5222222222222229_<16>; = 3 · 7² · 19 · 73 · 1531 · 1999 · 8369

(47·10¹⁶+61)/9 =: 52222222222222229_<17>; = 1811 · 66653 · 432630563

(47·10¹⁷+61)/9 =: 522222222222222229_<18>; = 13441 · 103919 · 373877051

(47·10¹⁸+61)/9 =: 5222222222222222229_<19>; = 3 · 3089 · 563528889848087_<15>

(47·10¹⁹+61)/9 =: 52222222222222222229_<20>; = 24551159 · 2127077675731_<13>

(47·10²⁰+61)/9 =: 522222222222222222229_<21>; = 67 · 97 · 17737 · 241441 · 18763663

(47·10²¹+61)/9 =: 5222222222222222222229_<22>; = 3⁴ · 7 · 31 · 297105434500894477_<18>

(47·10²²+61)/9 =: 52222222222222222222229_<23>; = 195383605871_<12> · 267280471099_<12>

(47·10²³+61)/9 =: 522222222222222222222229_<24>; = 73 · 17783 · 21961 · 18317885833571_<14>

(47·10²⁴+61)/9 =: 5222222222222222222222229_<25>; = 3 · 23 · 151 · 31138801 · 16096350653191_<14>

(47·10²⁵+61)/9 =: 52222222222222222222222229_<26>; = 11981 · 7762219163_<10> · 561534416843_<12>

(47·10²⁶+61)/9 =: 522222222222222222222222229_<27>; = 38201 · 122624659 · 111481500130031_<15>

(47·10²⁷+61)/9 =: 5222222222222222222222222229_<28>; = 3 · 7 · 431 · 83071 · 379853 · 18284950306933_<14>

(47·10²⁸+61)/9 =: 52222222222222222222222222229_<29>; = 29759 · 639083 · 2745868594297608257_<19>

(47·10²⁹+61)/9 =: 522222222222222222222222222229_<30>; = 17 · 43 · 613 · 1165406663696119468564643_<25>

(47·10³⁰+61)/9 =: 5222222222222222222222222222229_<31>; = 3² · 18326873 · 31660988406491762865397_<23>

(47·10³¹+61)/9 =: 52222222222222222222222222222229_<32>; = 73 · 2017 · 354671743754947482170198669_<27>

(47·10³²+61)/9 =: 522222222222222222222222222222229_<33>; = 29 · 36671 · 2679307 · 5314385123_<10> · 34487292071_<11>

(47·10³³+61)/9 =: 5222222222222222222222222222222229_<34>; = 3 · 7 · 19 · 127 · 570233 · 180728392213247697202381_<24>

(47·10³⁴+61)/9 =: 52222222222222222222222222222222229_<35>; = 131 · 1151 · 4451 · 20183 · 3855364239310896255173_<22>

(47·10³⁵+61)/9 =: 522222222222222222222222222222222229_<36>; = 6359 · 1738498309600873_<16> · 47238081462612347_<17>

(47·10³⁶+61)/9 =: 5222222222222222222222222222222222229_<37>; = 3 · 31 · 241 · 5309 · 179357 · 244694552446363756107841_<24>

(47·10³⁷+61)/9 =: 52222222222222222222222222222222222229_<38>; = 227 · 230053842388644150758688203622124327_<36>

(47·10³⁸+61)/9 =: 522222222222222222222222222222222222229_<39>; = 4153 · 11471 · 1036608418193_<13> · 10574927686025177731_<20>

(47·10³⁹+61)/9 =: 5222222222222222222222222222222222222229_<40>; = 3² · 7 · 73 · 1135512551037665192916334468845884371_<37>

(47·10⁴⁰+61)/9 =: 52222222222222222222222222222222222222229_<41>; = 2297 · 19051 · 132630219632819_<15> · 8997753423126415853_<19>

(47·10⁴¹+61)/9 =: 522222222222222222222222222222222222222229_<42>; = 27581 · 9358451 · 2023211893984871015322850375459_<31>

(47·10⁴²+61)/9 =: 5222222222222222222222222222222222222222229_<43>; = 3 · 7883 · 143770716500909_<15> · 1535932500122698107011369_<25>

(47·10⁴³+61)/9 =: 52222222222222222222222222222222222222222229_<44>; = 56290919 · 927720192705012014854868903849699491_<36>

(47·10⁴⁴+61)/9 =: 522222222222222222222222222222222222222222229_<45>; = 83 · 587 · 19508536193_<11> · 38242748573_<11> · 14366976221097087241_<20>

(47·10⁴⁵+61)/9 =: 5222222222222222222222222222222222222222222229_<46>; = 3 · 7 · 17 · 545934155303_<12> · 26794574601188136440024062207399_<32>

(47·10⁴⁶+61)/9 =: 52222222222222222222222222222222222222222222229_<47>; = 23 · 181 · 12544372381028638535244348359890036565510983_<44>

(47·10⁴⁷+61)/9 =: 522222222222222222222222222222222222222222222229_<48>; = 73 · 179 · 4073 · 9812169624379228130436444323675425629319_<40>

(47·10⁴⁸+61)/9 =: 5222222222222222222222222222222222222222222222229_<49>; = 3³ · 571 · 441191 · 767765921825821979801556856535596178107_<39>

(47·10⁴⁹+61)/9 =: 52222222222222222222222222222222222222222222222229_<50>; = 167 · 32563 · 411005633 · 23365048886232306826234607313039953_<35>

(47·10⁵⁰+61)/9 =: 522222222222222222222222222222222222222222222222229_<51>; = 43 · 6512531983_<10> · 189237268106893_<15> · 9854403794789332593783637_<25>

(47·10⁵¹+61)/9 =: 5(2)₅₀9_<52>; = 3 · 7 · 19 · 31 · 6873043 · 1068229095791261_<16> · 57505223420649864037158067_<26>

(47·10⁵²+61)/9 =: 5(2)₅₁9_<53>; = 660899 · 6916169641_<10> · 3823676028905119_<16> · 2987951392426361580049_<22>

(47·10⁵³+61)/9 =: 5(2)₅₂9_<54>; = 67 · 337 · 5258549 · 4398298697176972934618372449670067251603099_<43>

(47·10⁵⁴+61)/9 =: 5(2)₅₃9_<55>; = 3 · 77347 · 313109 · 8203874221_<10> · 6094287582827_<13> · 1437649876483911435223_<22>

(47·10⁵⁵+61)/9 =: 5(2)₅₄9_<56>; = 73 · 627481 · 132595459 · 1199093987686137481_<19> · 7170509770901329668527_<22>

(47·10⁵⁶+61)/9 =: 5(2)₅₅9_<57>; = 283 · 19583 · 94230108039229637991382195493751832098948991458161_<50>

(47·10⁵⁷+61)/9 =: 5(2)₅₆9_<58>; = 3² · 7² · 348527 · 15773831 · 2153987345243241246469118994478010440063637_<43>

(47·10⁵⁸+61)/9 =: 5(2)₅₇9_<59>; = 289254726460709_<15> · 6709249705876795453_<19> · 26909208799648998459615877_<26>

(47·10⁵⁹+61)/9 =: 5(2)₅₈9_<60>; = 59 · 3583 · 845833 · 235113898331436470693_<21> · 12422059388342688853769962453_<29>

(47·10⁶⁰+61)/9 =: 5(2)₅₉9_<61>; = 3 · 29 · 929 · 2659 · 6112221094081_<13> · 1748959924099891_<16> · 2273124019610092088073707_<25>

(47·10⁶¹+61)/9 =: 5(2)₆₀9_<62>; = 17 · 85087 · 22218137 · 1432907257_<10> · 4961801071_<10> · 228548378551570353772569962309_<30>

(47·10⁶²+61)/9 =: 5(2)₆₁9_<63>; = definitely prime number

(47·10⁶³+61)/9 =: 5(2)₆₂9_<64>; = 3 · 7 · 73 · 6947 · 221570622316327_<15> · 2213113652366485172740702917854980812227477_<43>

(47·10⁶⁴+61)/9 =: 5(2)₆₃9_<65>; = 421 · 11779 · 2178786987856631_<16> · 5710085820233171021_<19> · 846461914606316322675281_<24>

(47·10⁶⁵+61)/9 =: 5(2)₆₄9_<66>; = 113² · 23339 · 629184281585178029_<18> · 2785084351125367815945765665458541529211_<40>

(47·10⁶⁶+61)/9 =: 5(2)₆₅9_<67>; = 3² · 31 · 149 · 241 · 521252119901872846667289729307008947869342588730336193532439_<60>

(47·10⁶⁷+61)/9 =: 5(2)₆₆9_<68>; = 1693 · 7297 · 759237802501_<12> · 5567705052929996906731833199492109296862276612549_<49>

(47·10⁶⁸+61)/9 =: 5(2)₆₇9_<69>; = 23 · 1097 · 15451 · 380044467424612338848519_<24> · 3524762649566463877206734694702629111_<37>

(47·10⁶⁹+61)/9 =: 5(2)₆₈9_<70>; = 3 · 7 · 19 · 1132877 · 25824728851_<11> · 395030904974039_<15> · 1132486018816242880471149665454871307_<37>

(47·10⁷⁰+61)/9 =: 5(2)₆₉9_<71>; = 545543 · 13297499 · 38346953 · 153606511 · 1222125789178296785380401841939124686984159_<43>

(47·10⁷¹+61)/9 =: 5(2)₇₀9_<72>; = 43 · 73 · 109 · 1637 · 8039 · 8713 · 42283 · 321617 · 1189226398963_<13> · 823094655474008201092293675426617_<33>

(47·10⁷²+61)/9 =: 5(2)₇₁9_<73>; = 3 · 359 · 6089 · 64036820381_<11> · 3643370350928903301618803_<25> · 3413190998246194128045596229151_<31>

(47·10⁷³+61)/9 =: 5(2)₇₂9_<74>; = 5577392837_<10> · 1135238918911832373106041631_<28> · 8247775714650617585335656263826582607_<37>

(47·10⁷⁴+61)/9 =: 5(2)₇₃9_<75>; = definitely prime number

(47·10⁷⁵+61)/9 =: 5(2)₇₄9_<76>; = 3³ · 7 · 127 · 1094830265771173_<16> · 5403282791141863_<16> · 36777764788204582495601056133288440465357_<41>

(47·10⁷⁶+61)/9 =: 5(2)₇₅9_<77>; = 5209 · 173273 · 3666041 · 255118251294371_<15> · 61863038791208235982383633122523254322557288527_<47>

(47·10⁷⁷+61)/9 =: 5(2)₇₆9_<78>; = 17 · 1783 · 1844797226700719_<16> · 18350571248441587_<17> · 2705326827662850527_<19> · 188120930979638965511969_<24>

(47·10⁷⁸+61)/9 =: 5(2)₇₇9_<79>; = 3 · 102797 · 9491011 · 1784190310632118802812505684605652470478591424118949062603364946529_<67>

(47·10⁷⁹+61)/9 =: 5(2)₇₈9_<80>; = 73 · 959681 · 1960201254196268905732403430389_<31> · 380281264218367818843118528135557609815897_<42> (Makoto Kamada / msieve 0.81 / 6 minutes)

(47·10⁸⁰+61)/9 =: 5(2)₇₉9_<81>; = 613 · 114183441531763_<15> · 7460909040168337172407674709837488077983103064641150698458097291_<64>

(47·10⁸¹+61)/9 =: 5(2)₈₀9_<82>; = 3 · 7 · 31 · 2942170507_<10> · 441695395441_<12> · 1565547612203747_<16> · 3942914595249751731677214861851263144234511_<43>

(47·10⁸²+61)/9 =: 5(2)₈₁9_<83>; = 252139 · 24673067 · 58906762890137423_<17> · 3974485244263943527_<19> · 35854703697160240642705260778017173_<35>

(47·10⁸³+61)/9 =: 5(2)₈₂9_<84>; = 461 · 1132803085080742347553627380091588334538442998312846469028681610026512412629549289_<82>

(47·10⁸⁴+61)/9 =: 5(2)₈₃9_<85>; = 3² · 1181 · 34569606363554999317387519949_<29> · 14212435511039216186983504565502986783599545775632149_<53>

(47·10⁸⁵+61)/9 =: 5(2)₈₄9_<86>; = 83 · 631 · 395715803988269591444008229227_<30> · 2519790890404725050125491183376532470098305373944899_<52> (Makoto Kamada / GGNFS-0.70.3 / 0.16 hours)

(47·10⁸⁶+61)/9 =: 5(2)₈₅9_<87>; = 67 · 197 · 10111 · 773599061 · 3695315243_<10> · 1368840297100949863126060911599296820134331130948101516699507_<61>

(47·10⁸⁷+61)/9 =: 5(2)₈₆9_<88>; = 3 · 7 · 19 · 73 · 202529 · 20703031 · 319934134577_<12> · 133652739007800530632246859521669566692200126155318564308549_<60>

(47·10⁸⁸+61)/9 =: 5(2)₈₇9_<89>; = 29 · 165553798859_<12> · 198182672750934352517_<21> · 3000130490740478739509_<22> · 18294155825776320610947509019079763_<35>

(47·10⁸⁹+61)/9 =: 5(2)₈₈9_<90>; = 2089039 · 5435140771486591745969_<22> · 45993663526957292413961469662285850776028981252741024935942219_<62>

(47·10⁹⁰+61)/9 =: 5(2)₈₉9_<91>; = 3 · 23 · 311 · 24841 · 1081923856532303_<16> · 1675730001515042872163937928841647_<34> · 5403511145837770809169757992887551_<34>

(47·10⁹¹+61)/9 =: 5(2)₉₀9_<92>; = 263411 · 34856149 · 430730651482654669_<18> · 13204934765312338442505295041135039964295307995588653654089319_<62>

(47·10⁹²+61)/9 =: 5(2)₉₁9_<93>; = 43 · 1324255189853096547726107348527687876309_<40> · 9170968658785855269016131168160698390570330182448067_<52> (Makoto Kamada / GGNFS-0.70.3 / 0.27 hours)

(47·10⁹³+61)/9 =: 5(2)₉₂9_<94>; = 3² · 7 · 17 · 17077 · 21089 · 511059923057_<12> · 41483854810986206769413647578841_<32> · 638627155581725121220116159233813151959_<39> (Makoto Kamada / msieve 0.81 / 4.7 minutes)

(47·10⁹⁴+61)/9 =: 5(2)₉₃9_<95>; = 34095973 · 73587660650957653021088246008669_<32> · 20813602834783744040739576769377474202801181985929850917_<56> (Makoto Kamada / GGNFS-0.70.3 / 0.40 hours)

(47·10⁹⁵+61)/9 =: 5(2)₉₄9_<96>; = 73 · 7639 · 936474547916911993110735325792521473660258590510165431217638079685217031961477820596582107_<90>

(47·10⁹⁶+61)/9 =: 5(2)₉₅9_<97>; = 3 · 31 · 241 · 78553 · 2966146392832064497349286583583478666602117515084850718737670528174577624497631666244561_<88>

(47·10⁹⁷+61)/9 =: 5(2)₉₆9_<98>; = 599 · 1257493 · 1599518451231790857688028371_<28> · 43344469875359676933477912225945300357852298648351517420899357_<62>

(47·10⁹⁸+61)/9 =: 5(2)₉₇9_<99>; = 269 · 368208445651_<12> · 512375940155063144053034179_<27> · 10290123675746709827298266160497252806221235103105656540529_<59>

(47·10⁹⁹+61)/9 =: 5(2)₉₈9_<100>; = 3 · 7² · 151 · 3709 · 63431390692064503726693399056999524603320427892992059063337778105839532020906279179578446773_<92>

(47·10¹⁰⁰+61)/9 =: 5(2)₉₉9_<101>; = 479 · 8539 · 401192096939909441_<18> · 31824416691702773905675539085867630255936174132902214487313975217693250980049_<77>

(47·10¹⁰¹+61)/9 =: 5(2)₁₀₀9_<102>; = 827 · 69054757 · 9144421532007331589125253531455039596277760297742260485541363198482886606808035845670110211_<91>

(47·10¹⁰²+61)/9 =: 5(2)₁₀₁9_<103>; = 3⁶ · 193 · 7057 · 141060858007823535227_<21> · 1527776065078951640527643_<25> · 1783163622385976411596381_<25> · 13686518067222463488955961_<26>

(47·10¹⁰³+61)/9 =: 5(2)₁₀₂9_<104>; = 73 · 409 · 1798649 · 12067117 · 1101076214191_<13> · 44380328990026943_<17> · 71716700291679724103946119_<26> · 22994874232941639921072612377047_<32>

(47·10¹⁰⁴+61)/9 =: 5(2)₁₀₃9_<105>; = 1511 · 70315121 · 23477054010535938697_<20> · 12716866108998728208109_<23> · 37521230049597198880372307_<26> · 438774510636239249665398269_<27>

(47·10¹⁰⁵+61)/9 =: 5(2)₁₀₄9_<106>; = 3 · 7 · 19 · 277087 · 16284778196018164091657631491_<29> · 2900577371091625042567511309234148614713817450781609553696832591959063_<70>

(47·10¹⁰⁶+61)/9 =: 5(2)₁₀₅9_<107>; = 349 · 149633874562241324418974848774275708373129576567971983444762814390321553645335880292900350206940464820121_<105>

(47·10¹⁰⁷+61)/9 =: 5(2)₁₀₆9_<108>; = definitely prime number

(47·10¹⁰⁸+61)/9 =: 5(2)₁₀₇9_<109>; = 3 · 37190118994181423_<17> · 4128309396097201259558399_<25> · 382579617238996286035983029_<27> · 29635513686976196817164210892734151057371_<41>

(47·10¹⁰⁹+61)/9 =: 5(2)₁₀₈9_<110>; = 17 · 22697 · 2774814923_<10> · 26917961969_<11> · 15517784376449592713923226386821184562923_<41> · 116770209624110171220747433951165114631806421_<45> (Makoto Kamada / Msieve-1.39 for P41 x P45 / 33 min on Athlon 4850e 2.5GHz, 2GB, Vista 32bit, Cygwin / Mar 16, 2009)

(47·10¹¹⁰+61)/9 =: 5(2)₁₀₉9_<111>; = definitely prime number

(47·10¹¹¹+61)/9 =: 5(2)₁₁₀9_<112>; = 3² · 7 · 31 · 73 · 6300179 · 3879787963_<10> · 25388561167_<11> · 59024358541578276600160829696630161709273659889803440260782381237444768486088899_<80>

(47·10¹¹²+61)/9 =: 5(2)₁₁₁9_<113>; = 23 · 1140888569707_<13> · 1990143000161089767010661133079999504552778346740101064608514187080132802290626064073928502786912089_<100>

(47·10¹¹³+61)/9 =: 5(2)₁₁₂9_<114>; = 43 · 382357 · 9776113 · 4745897059_<10> · 4646770779491_<13> · 230194629584962486131416454841_<30> · 640010182544042791365226882982535273864110528627_<48> (Makoto Kamada / GMP-ECM 6.2.1 B1=1e6, sigma=2505000934 for P30 / Mar 15, 2009)

(47·10¹¹⁴+61)/9 =: 5(2)₁₁₃9_<115>; = 3 · 773 · 211779731731_<12> · 801098349198074601874251559_<27> · 13273466840903421031094882001468027841900240547604664985235707291817850879_<74>

(47·10¹¹⁵+61)/9 =: 5(2)₁₁₄9_<116>; = 1033 · 5081 · 44851 · 19826487054530551309747708573_<29> · 11188913869775155342063046904391804356305975264060321770968523901609613406051_<77>

(47·10¹¹⁶+61)/9 =: 5(2)₁₁₅9_<117>; = 29 · 97 · 33802277 · 43165929383_<11> · 59736450047_<11> · 5894652436369_<13> · 318179578943241341671_<21> · 1135608535022139579913090954507602017692890534082171_<52>

(47·10¹¹⁷+61)/9 =: 5(2)₁₁₆9_<118>; = 3 · 7 · 59 · 127 · 3491 · 28183 · 37671401006471_<14> · 3794242286288998668701377_<25> · 2359969660855794840937878742717683260456188479565255417433938264943_<67>

(47·10¹¹⁸+61)/9 =: 5(2)₁₁₇9_<119>; = 18545033725620385839073282769_<29> · 18245443874384613460664481658963115751599_<41> · 154338149112696928687790210316254402187911944002059_<51> (Ignacio Santos / GGNFS, Msieve snfs / 1.87 hours / Mar 17, 2009)

(47·10¹¹⁹+61)/9 =: 5(2)₁₁₈9_<120>; = 67 · 73 · 84499 · 51527471 · 13944102105239_<14> · 449984349489798173821454543304923876501_<39> · 3908222901972372478578448309529138923621476871226249_<52> (Ignacio Santos / GGNFS, Msieve snfs / 1.57 hours / Mar 17, 2009)

(47·10¹²⁰+61)/9 =: 5(2)₁₁₉9_<121>; = 3² · 953 · 541999 · 556403 · 246792659 · 9009871097094871337526875860959775050975172901_<46> · 907990229708034753497605253062135272842718763548199_<51> (Ignacio Santos / GGNFS, Msieve snfs / 1.40 hours / Mar 17, 2009)

(47·10¹²¹+61)/9 =: 5(2)₁₂₀9_<122>; = definitely prime number

(47·10¹²²+61)/9 =: 5(2)₁₂₁9_<123>; = 313 · 487 · 33301 · 3948460504651501476194716762433_<31> · 4529823312095830034096104478485661_<34> · 5751958100586723715041254741009723175774021294043_<49> (Makoto Kamada / GMP-ECM 6.2.1 B1=1e6, sigma=186227832 for P34 / Mar 15, 2009) (Makoto Kamada / GMP-ECM 6.2.1 B1=1e6, sigma=3909596039 for P31 / Mar 15, 2009)

(47·10¹²³+61)/9 =: 5(2)₁₂₂9_<124>; = 3 · 7 · 19 · 469542793447181513_<18> · 27874512033466599385811413567706414271835270129014404082296094000225532551358317320874778006454007129667_<104>

(47·10¹²⁴+61)/9 =: 5(2)₁₂₃9_<125>; = 5474531 · 10669691 · 130625682749_<12> · 4060994832987603706866691724669597451559_<40> · 1685371232188603324955176401904084463066907092390985334424239_<61> (Ignacio Santos / GGNFS, Msieve snfs / 1.72 hours / Mar 17, 2009)

(47·10¹²⁵+61)/9 =: 5(2)₁₂₄9_<126>; = 17 · 41668745081_<11> · 71510375148277575668027_<23> · 36119310367160443267030313272188255347_<38> · 285422036073732811972082844292589214988221463070831533_<54> (Markus Tervooren / Msieve 1.40 for P38 x P54 / 1.44 hours / Mar 17, 2009)

(47·10¹²⁶+61)/9 =: 5(2)₁₂₅9_<127>; = 3 · 31 · 83 · 241 · 128629 · 897861760885987_<15> · 23894510075301486165654975089685133299839_<41> · 1017257184052053219025068016261178571707894387955363477622483_<61> (Ignacio Santos / GGNFS, Msieve snfs / 1.75 hours / Mar 17, 2009)

(47·10¹²⁷+61)/9 =: 5(2)₁₂₆9_<128>; = 73 · 2383 · 4411941301_<10> · 882692187448080736069184872075399_<33> · 1233548093341269037654328712199577_<34> · 62490406712383457896580388408945653866207294297_<47> (Makoto Kamada / GMP-ECM 6.2.1 B1=1e6, sigma=2847356430 for P33 / Mar 15, 2009) (Makoto Kamada / Msieve-1.39 for P34 x P47 / 11 min on Athlon 4850e 2.5GHz, 2GB, Vista 32bit, Cygwin / Mar 16, 2009)

(47·10¹²⁸+61)/9 =: 5(2)₁₂₇9_<129>; = definitely prime number

(47·10¹²⁹+61)/9 =: 5(2)₁₂₈9_<130>; = 3³ · 7 · 1993 · 3917 · 378619 · 11748049 · 6029033541607_<13> · 247542371251297_<15> · 9309499908546065285961619667899_<31> · 57271811749825390271051225639291748967695462377131_<50> (Makoto Kamada / Msieve-1.39 for P31 x P50 / 10 min on Athlon 4850e 2.5GHz, 2GB, Vista 32bit, Cygwin / Mar 16, 2009)

(47·10¹³⁰+61)/9 =: 5(2)₁₂₉9_<131>; = 9669431 · 283260022255501_<15> · 19066419532268892150573465272745110042628819195306237701467647403527044295353980765235921755237808467331027359_<110>

(47·10¹³¹+61)/9 =: 5(2)₁₃₀9_<132>; = 613 · 1619 · 183383 · 51940723 · 6072895453_<10> · 4209452063032200419065399_<25> · 240309167570206981993664800249220807_<36> · 8992682278974465700307404026369535932312587_<43> (Makoto Kamada / Msieve-1.39 for P36 x P43 / 8 min on Athlon 4850e 2.5GHz, 2GB, Vista 32bit, Cygwin / Mar 16, 2009)

(47·10¹³²+61)/9 =: 5(2)₁₃₁9_<133>; = 3 · 14908819 · 8101681459_<10> · 2484741049517_<13> · 332293707214238229077_<21> · 266407268636154012117605312943310531_<36> · 65518865112378513869628762717969354132909448277_<47> (Makoto Kamada / Msieve-1.39 for P36 x P47 / 18 min on Athlon 4850e 2.5GHz, 2GB, Vista 32bit, Cygwin / Mar 16, 2009)

(47·10¹³³+61)/9 =: 5(2)₁₃₂9_<134>; = 647 · 23019879671_<11> · 55653095116150412934159421968335753669_<38> · 496141842540736536528149687175508495999_<39> · 126985122161419659864859871614603583665871407_<45> (Makoto Kamada / GMP-ECM 6.2.1 B1=1e6, sigma=2206810252 for P38 / Mar 15, 2009) (Makoto Kamada / Msieve-1.39 for P39 x P45 / 17 min on Athlon 4850e 2.5GHz, 2GB, Vista 32bit, Cygwin / Mar 16, 2009)

(47·10¹³⁴+61)/9 =: 5(2)₁₃₃9_<135>; = 23 · 43 · 58757 · 8986683431152522054291510652823143559569895571889560153987929587775075711517266754460445196052405419951378333240474124645264773_<127>

(47·10¹³⁵+61)/9 =: 5(2)₁₃₄9_<136>; = 3 · 7 · 73 · 788862522512310696217447_<24> · 757922832872677664363943517_<27> · 2273669979766003712976496762957919_<34> · 2505875276929181276407423184832716365576744715573_<49> (Makoto Kamada / GMP-ECM 6.2.1 B1=1e6, sigma=1598989794 for P34 / Mar 15, 2009)

(47·10¹³⁶+61)/9 =: 5(2)₁₃₅9_<137>; = 26687 · 9323456862359_<13> · 209883659116462024936397981241380082963962096140552060367757677598892390637518231586107252584928255200845266894120144013_<120>

(47·10¹³⁷+61)/9 =: 5(2)₁₃₆9_<138>; = 739 · 877 · 295289375079011_<15> · 6661471907757357183761_<22> · 1229958574412209062018051100217580143117_<40> · 333044917807515859998647944588270739048031866360687340149_<57> (Max Dettweiler / YAFU v1.07 / Mar 17, 2009)

(47·10¹³⁸+61)/9 =: 5(2)₁₃₇9_<139>; = 3² · 287059 · 345637134138869_<15> · 256390756338952755067076839_<27> · 9602867985930196022554596889_<28> · 2375297184311054959842289497978919476812443974534614387453360941_<64>

(47·10¹³⁹+61)/9 =: 5(2)₁₃₈9_<140>; = definitely prime number

(47·10¹⁴⁰+61)/9 =: 5(2)₁₃₉9_<141>; = 78017 · 4980823 · 8821196155663896450889_<22> · 152348265420754999252677991909524216205540924514327960736387820321784523858548879682468063370846481314751771_<108>

(47·10¹⁴¹+61)/9 =: 5(2)₁₄₀9_<142>; = 3 · 7² · 17 · 19 · 31 · 237889815236994003472994542573001_<33> · 2770758482137124969166412549823186766443947403693_<49> · 5382688866148215158381784090133347240153974065965281623_<55> (Ignacio Santos / GGNFS, Msieve snfs / 5.65 hours / Mar 17, 2009)

(47·10¹⁴²+61)/9 =: 5(2)₁₄₁9_<143>; = 1487 · 4300297 · 4565845753121195746924551387258397021_<37> · 1788647224960539742443560414147995611121695950816486297797249923096857197776551827973807510280991_<97> (Ignacio Santos / GGNFS, Msieve snfs / 10.51 hours / Mar 17, 2009)

(47·10¹⁴³+61)/9 =: 5(2)₁₄₂9_<144>; = 73 · 4041006941_<10> · 22110538207_<11> · 132175148290802436241_<21> · 843533943620266080062357916034467423067_<39> · 718110386575849847385899895133421039103985314002695286774474957_<63> (Erik Branger / GGNFS, Msieve gnfs for P39 x P63 / 9.17 hours / Mar 17, 2009)

(47·10¹⁴⁴+61)/9 =: 5(2)₁₄₃9_<145>; = 3 · 29 · 35665836196780192728533512673_<29> · 1976709432008267264427519070426499_<34> · 851414124657241695767207870881297397947237108071634876732657125843696881206420721_<81> (Erik Branger / GGNFS, Msieve snfs / 12.31 hours / Mar 17, 2009)

(47·10¹⁴⁵+61)/9 =: 5(2)₁₄₄9_<146>; = 7369 · 20327 · 5610593 · 1092285017_<10> · 393962429501_<12> · 21316701940069_<14> · 6774136493664252565054108127887804744341985389641457656904684213761960445615767223336170606573747_<97>

(47·10¹⁴⁶+61)/9 =: 5(2)₁₄₅9_<147>; = 118268440765127268526454053_<27> · 12822898127825871123041260367860744391887985989183_<50> · 344350156992285033341866116549986062298882723986694029020884286713875471_<72> (Sinkiti Sibata / GGNFS-0.77.1-20060513-nocona snfs / 23.49 hours on Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin / Mar 17, 2009)

(47·10¹⁴⁷+61)/9 =: 5(2)₁₄₆9_<148>; = 3² · 7 · 3529 · 14122237 · 1663258092317510361771088727209693348483344994089413224050313799739579211778481150158033809605333644645083218675935366490731782574448271_<136>

(47·10¹⁴⁸+61)/9 =: 5(2)₁₄₇9_<149>; = 593 · 6521 · 9241 · 1461394554337378026966390644255651753077489694026650151044085072983589872565385473452605105916067524322391148177789009643400719512093462773_<139>

(47·10¹⁴⁹+61)/9 =: 5(2)₁₄₈9_<150>; = 4076210434301839_<16> · 211174768175632908845141_<24> · 219213132009021623869566675173488915702299783936522029_<54> · 2767516118398801454302828847039547607150038471761799341899_<58> (Ignacio Santos / GGNFS, Msieve snfs / 16.20 hours / Mar 18, 2009)

(47·10¹⁵⁰+61)/9 =: 5(2)₁₄₉9_<151>; = 3 · 227 · 433 · 221581 · 79925952799381420200698655330970561850726720490838808727174680292712066041350785948680306259076298381633685328264928035906691822130674996433_<140>

(47·10¹⁵¹+61)/9 =: 5(2)₁₅₀9_<152>; = 73 · 691 · 5003 · 84389 · 6105956179_<10> · 13551298952508005615508715858630155784976003377_<47> · 29634901503428958238102266429923613340973044009914909611452496602972186130738987123_<83> (Max Dettweiler / GGNFS (sieving) + msieve v1.40beta2 (postprocessing) via factMsieve.pl snfs / 21.55 hours on Core 2 Duo E4500 (2.2Ghz), Ubuntu 8.10 32-bit / Mar 18, 2009)

(47·10¹⁵²+61)/9 =: 5(2)₁₅₁9_<153>; = 67 · 5963899 · 50127534151990733094529_<23> · 1142881122706237152034929100702236331731481069594600653461_<58> · 22812499110881731749464498894319372578237508831024251483110858577_<65> (Erik Branger / GGNFS, Msieve snfs / 35.93 hours / Mar 20, 2009)

(47·10¹⁵³+61)/9 =: 5(2)₁₅₂9_<154>; = 3 · 7 · 347 · 74484492587926937_<17> · 9621454167640833672510455896291988846713088926455599620297387309567634120756199518438733820535359041480203941377906135901708129388491_<133>

(47·10¹⁵⁴+61)/9 =: 5(2)₁₅₃9_<155>; = 223 · 2041669007527_<13> · 6287405169625602502477237795484824113448923850663462083007464764063_<67> · 18242892600702144900224066166443686086519340119714997012668019979791537123_<74> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon, Msieve 1.39 snfs / 24.36 hours, 1.42 hours / Mar 22, 2009)

(47·10¹⁵⁵+61)/9 =: 5(2)₁₅₄9_<156>; = 43 · 35909329 · 58770731 · 20170670960464360204959468810331_<32> · 1362060369851719248423367258847794687379_<40> · 209460342073774190375828058205240979575586001449705679614534145203053_<69> (Serge Batalov / GMP-ECM 6.2.2 B1=3000000, sigma=958636256 for P32 / Mar 17, 2009) (Sinkiti Sibata / GGNFS-0.77.1-20050930-pentium4 gnfs for P40 x P69 / 20.73 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Mar 20, 2009)

(47·10¹⁵⁶+61)/9 =: 5(2)₁₅₅9_<157>; = 3³ · 23 · 31 · 241 · 17749 · 65286631 · 971374871041905105679660333885439868434573850969519331849176856130306971953970136252810869095222396464237707722524999396070565275368436701_<138>

(47·10¹⁵⁷+61)/9 =: 5(2)₁₅₆9_<158>; = 17 · 32983 · 2446939919748549671_<19> · 38062119303268798090852722775450396302045244672801760239614491570364981619278441682682636589995388691400460825609921704392546868037509_<134>

(47·10¹⁵⁸+61)/9 =: 5(2)₁₅₇9_<159>; = 379 · 46867 · 39436047669281_<14> · 1263860035097770740391_<22> · 589870421870298308726188203717297239724155355922443093643186007549263963926772418065625467046087069439609718898318243_<117>

(47·10¹⁵⁹+61)/9 =: 5(2)₁₅₈9_<160>; = 3 · 7 · 19 · 73 · 127 · 571267 · 2105704495113575752141970374547848949_<37> · 1173597863762778961353938014095497008314840267768534262908047639520370623212738884194732870717624955005674165347_<112> (Makoto Kamada / GMP-ECM 6.2.1 B1=1e6, sigma=3003131467 for P37 / Mar 15, 2009)

(47·10¹⁶⁰+61)/9 =: 5(2)₁₅₉9_<161>; = 602702967978397806981731_<24> · 149475423087669771725404269873003177613_<39> · 805851248526890988295119477659282638721085559_<45> · 719328626510539286405990039328350670878493687056107477_<54> (Robert Backstrom / GGNFS-0.77.1-20060513-pentium-m, Msieve 1.39 snfs / 26.06 hours, 1.08 hours / Apr 2, 2009)

(47·10¹⁶¹+61)/9 =: 5(2)₁₆₀9_<162>; = 140853961 · 219943733041963750242646478617524491832623759499803899627166611_<63> · 16856782845527874382183048874522274027542137890355911903085056358760184087391042615656550399_<92> (Ignacio Santos / GGNFS, Msieve snfs / 36.14 hours / Mar 18, 2009)

(47·10¹⁶²+61)/9 =: 5(2)₁₆₁9_<163>; = 3 · 329083 · 971829109621331280713052310611805906814693_<42> · 5443005115212690963075124445015554464452373759718062686515066448009637291266093021375952448364071566322188969133697_<115> (Ignacio Santos / GGNFS, Msieve snfs / 53.98 hours / Mar 21, 2009)

(47·10¹⁶³+61)/9 =: 5(2)₁₆₂9_<164>; = 2549 · 72367 · 283103307890062025025420463421598855000597718423338142336942766185447242271914719414802669763219326300058110808968202244247021087757636139952004604739151663_<156>

(47·10¹⁶⁴+61)/9 =: 5(2)₁₆₃9_<165>; = 131 · 15907 · 32654233 · 66223876399_<11> · 74627186189_<11> · 1552904037501948721526707168962021663813287079202140732752646195687586919390338369214799344786209649136077147343856455829821338599_<130>

(47·10¹⁶⁵+61)/9 =: 5(2)₁₆₄9_<166>; = 3² · 7 · 5591 · 57457 · 72533535683897919367050843049102695262622230330026538812469651505101456980937_<77> · 3557488562285399128352167251090547646264542317070408776923597887660186679045557_<79> (Ignacio Santos / GGNFS, Msieve snfs / 43.32 hours on For the records page / Mar 20, 2009)

(47·10¹⁶⁶+61)/9 =: 5(2)₁₆₅9_<167>; = 88423 · 7917896996084321_<16> · 10979241431945265938389909241_<29> · 6793724323371938919134410470195156335047285238189189024729537738681823051106729483231391203615959795415804791734014043_<118>

(47·10¹⁶⁷+61)/9 =: 5(2)₁₆₆9_<168>; = 73 · 83 · 4889 · 2368801 · 17554369602202312039753_<23> · 5079837261726309477074870937453617318273958408771046998347443561_<64> · 83458532416670736671267228864304174336696566851849644029351322951463_<68> (Robert Backstrom / GGNFS-0.77.1-20060513-pentium-m, Msieve 1.39 snfs / 74.52 hours, 2.35 hours / Jun 23, 2009)

(47·10¹⁶⁸+61)/9 =: 5(2)₁₆₇9_<169>; = 3 · 208457 · 40770539325743_<14> · 204819430360835688492542210350501478052991236779021609308103257739936293406490238419842263331166525895897719443503211365879395822526784156326886970593_<150>

(47·10¹⁶⁹+61)/9 =: 5(2)₁₆₈9_<170>; = 23181961335030695607749_<23> · 2252709400533260527849593548018542858474798842315467720822890731568393918591000494865213087556483699598979044095520643869790801980477170972468165521_<148>

(47·10¹⁷⁰+61)/9 =: 5(2)₁₆₉9_<171>; = 18902371219_<11> · 10510633214327225798229348673064411_<35> · 2628513304830956602240823352104911960288107310430910800133860524644986354367963340687139457780089343410802616392394992059130581_<127> (Ignacio Santos / GGNFS, Msieve snfs / 61.03 hours / May 8, 2009)

(47·10¹⁷¹+61)/9 =: 5(2)₁₇₀9_<172>; = 3 · 7 · 31 · 257 · 44057439560621190903839177_<26> · 708470844379424545928887882417129684201771168390233339203819557355165614190463313263161449643166067995711425197131852168191117133838026177511_<141>

(47·10¹⁷²+61)/9 =: 5(2)₁₇₁9_<173>; = 29 · 1252682099_<10> · 155705137976349535618955127465479103372581214599_<48> · 9232377109645985396433945968057508694695399541386192131778368096665877091302329437777202702426026982598638033918501_<115> (Ignacio Santos / GGNFS, Msieve snfs / 113.19 hours / Oct 1, 2009)

(47·10¹⁷³+61)/9 =: 5(2)₁₇₂9_<174>; = 17 · 3350909 · 869435893989449959_<18> · 10544020155712754226033137690716247961682704027416069745545894282712404214822988376679854644845206900699549983952454586708427922115013817539615118127_<149>

(47·10¹⁷⁴+61)/9 =: 5(2)₁₇₃9_<175>; = 3² · 151 · 39865183 · 248272467244014446327_<21> · 32176386058068955857221297_<26> · 12066360755961881616296257751621120320542138914260525825829182716992307779610325867418161058120459784813766171952654803_<119>

(47·10¹⁷⁵+61)/9 =: 5(2)₁₇₄9_<176>; = 59 · 73 · 44381807 · 6041009852399371_<16> · 45223685495910476996818937208853932508750973697175992038689783409363550962087838238526551830864608467846508061279314871475210779306979395901249760651_<149>

(47·10¹⁷⁶+61)/9 =: 5(2)₁₇₅9_<177>; = 43 · 1051 · 1076303 · 752251243183709_<15> · 2713126239066248706577362905776044487016284540385685889_<55> · 5260375064524921514235484960795577000211357953325138664530107226453712509202351070463504384961951_<97> (Robert Backstrom / Msieve 1.44 snfs / Jan 18, 2012)

(47·10¹⁷⁷+61)/9 =: 5(2)₁₇₆9_<178>; = 3 · 7 · 19 · 113 · 601 · 6275442029_<10> · 191374395773604165331043_<24> · [160472782391879399814600872554941836289911201563381999183025481868313152766960735842347268146772129666259100680860268342869498866334413061_<138>] SUBMIT/RESERVE

(47·10¹⁷⁸+61)/9 =: 5(2)₁₇₇9_<179>; = 23 · 25523 · 69859 · 115408121164094735012236175664796745389444902756462350565310383181720875166223_<78> · 11034103582781337864927757606282630036211683990647968980583740201381062663832992545798233093_<92> (Robert Backstrom / Msieve 1.44 snfs / Feb 1, 2012)

(47·10¹⁷⁹+61)/9 =: 5(2)₁₇₈9_<180>; = 109 · 668111 · 46086527706787783863770048419_<29> · 155598798818920185760682857386549258894779410779794936254768626444142587537228894385588949913316988978207015735754666249496968259470947413724909_<144> (Serge Batalov / GMP-ECM 6.2.2 B1=3000000, sigma=1444878925 for P29 / Mar 17, 2009)

(47·10¹⁸⁰+61)/9 =: 5(2)₁₇₉9_<181>; = 3 · 373 · 1563619 · 107322378932355729245713582855453961656424687369_<48> · 127248519277150410216836543650998769382874257509777211_<54> · 218550243535932156374990718848513622654338442739119806162477279229069571_<72> (Robert Backstrom / Msieve 1.44 snfs / Jan 20, 2012)

(47·10¹⁸¹+61)/9 =: 5(2)₁₈₀9_<182>; = 11098459 · 448769446159_<12> · [10485022954014068904990891110645207354756265530800919450051069619503559315865054055191528562617494512910296984357857838089997758440238485807566820132732654200089409_<164>] SUBMIT/RESERVE

(47·10¹⁸²+61)/9 =: 5(2)₁₈₁9_<183>; = 613 · 3677 · 5851441249_<10> · 530965497313_<12> · 10585881510667_<14> · 2179431821107410771893_<22> · 17506708982877796590471231654665554196604017_<44> · 184627872613379352806475438960335967278715754772741368162582062046769524215971_<78> (Jeff Gilchrist / GGNFS & Msieve 1.41 gnfs for P44 x P78 / 24.87 hours on Intel Core2 Q9550 @ 3.4GHz in Vista 64bit / Apr 15, 2009)

(47·10¹⁸³+61)/9 =: 5(2)₁₈₂9_<184>; = 3⁴ · 7² · 73 · 13159 · 23580467869898578816558113541392511_<35> · [58086617139822417192309155633607444600006416172320696813705786684420593367822572818386028872976485426874441318380077890295282806517242070133_<140>] (Serge Batalov / GMP-ECM 6.2.2 B1=3000000, sigma=2046773793 for P35 / Mar 17, 2009) SUBMIT/RESERVE

(47·10¹⁸⁴+61)/9 =: 5(2)₁₈₃9_<185>; = 197 · 25793464967799025455663846257_<29> · 10277309495981556594411177597785555558103337974267734438018525522711526682080148584478150424675795631673789893437400082720492724410063539716973103739802401_<155>

(47·10¹⁸⁵+61)/9 =: 5(2)₁₈₄9_<186>; = 67 · 117727 · 343237 · 7706852909596990109069_<22> · [25028412317019266319700050889611088430813818793112696998602276670419169705510712320949827088140975298937382874206672586378689071733486774359902659786777_<152>] SUBMIT/RESERVE

(47·10¹⁸⁶+61)/9 =: 5(2)₁₈₅9_<187>; = 3 · 31 · 241 · 3288353 · 70856047874463952763063609351013409964683273712542503347116393221681977615287184885110874724520055357845451038948223928584613542887925098813989407159217091260456568124669181961_<176>

(47·10¹⁸⁷+61)/9 =: 5(2)₁₈₆9_<188>; = 472333 · 17123431378539583_<17> · 3005422296029909783_<19> · 229120334047763623675514957_<27> · 418959790849984109280420085898543_<33> · 130459351366153640145461498845742658269799017_<45> · 171553492944694353363214986772791976579824851_<45> (Ignacio Santos / GGNFS, Msieve gnfs for P33 x P45 x P45 / 44.72 hours / Apr 16, 2009)

(47·10¹⁸⁸+61)/9 =: 5(2)₁₈₇9_<189>; = 967 · 550690601939_<12> · 605847532138397_<15> · 109183642953133633_<18> · 34461699539841418825579125628841351_<35> · 430193252317702480711040497680446163331824874304874768856386928623928612241031321894543131893971208149393683_<108> (Serge Batalov / GMP-ECM 6.2.2 B1=3000000, sigma=2141233825 for P35 / Mar 17, 2009)

(47·10¹⁸⁹+61)/9 =: 5(2)₁₈₈9_<190>; = 3 · 7 · 17 · 991 · 30390445707825038960851973251143484945459001_<44> · 18358209069653071667212608313170676329147161299343189406442330879_<65> · 26457335036124703173968663913338261158133741397602332844201758028428386579673_<77> (Robert Backstrom / Msieve 1.42 snfs / Mar 7, 2010)

(47·10¹⁹⁰+61)/9 =: 5(2)₁₈₉9_<191>; = 701 · 12441484225824125533_<20> · 93603981074749332057833540879042243_<35> · [63969184928555725419888542337471071127268261667483265316817211212893362944495734135745868593470357733678892956596854054764423090641391_<134>] (Serge Batalov / GMP-ECM 6.2.2 B1=3000000, sigma=2046487259 for P35 / Mar 17, 2009) SUBMIT/RESERVE

(47·10¹⁹¹+61)/9 =: 5(2)₁₉₀9_<192>; = 73 · 30351133 · 41291543126233009_<17> · 5708164327440438563763609258454353745130833972854357574727336170883481772459342869160175707678762729901178023015818771334772219426922606032464862364839830985762995809_<166>

(47·10¹⁹²+61)/9 =: 5(2)₁₉₁9_<193>; = 3² · 2711 · 55366147 · 976205761506081757172617_<24> · [3960022500052568767482412129258933832274081517595284498776723671764933940648784282207445085157433523333049987889682111023690455185091782142869160593417224129_<157>] SUBMIT/RESERVE

(47·10¹⁹³+61)/9 =: 5(2)₁₉₂9_<194>; = 609899077 · 264938961166544893635371_<24> · 323185258703394429761508337892865208850845290435234708391754354012358375567862260918431107679803119462100745230083592051357560142069569058909590456902799469956787_<162>

(47·10¹⁹⁴+61)/9 =: 5(2)₁₉₃9_<195>; = 214043 · 5794783 · 37821853 · 34553427465322425767333_<23> · 345776298023694697339457_<24> · 31449927846139949578368413117292041321098081_<44> · 29625680359139544392198050797703384493675531341424132839677447733601178686924939627777_<86> (Ignacio Santos / GGNFS, Msieve gnfs for P44 x P86 / May 7, 2010)

(47·10¹⁹⁵+61)/9 =: 5(2)₁₉₄9_<196>; = 3 · 7 · 19 · 439 · 15749 · 41351 · 77390501 · 572575093 · 5746438392403_<13> · 23428048162646259027451_<23> · 7674038246130250142184223947865081182135034023077976368375278930965709908255751552065573030326651099787298399076542983675141512359_<130>

(47·10¹⁹⁶+61)/9 =: 5(2)₁₉₅9_<197>; = 1579229435921678256326591199705715594120801084508283699645866680988859851099_<76> · 33068166685826757029330791732171671095878658225580448280795059966475529175322301526715686040210443228306558116508701585871_<122> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs / 419.87 hours on Core 2 Quad Q6700 / Apr 17, 2009)

(47·10¹⁹⁷+61)/9 =: 5(2)₁₉₆9_<198>; = 43 · 283 · 1019 · 1453 · 46343441 · 54459850995469781_<17> · 5613130413614629743204923_<25> · 2045930142110826847508733837741081428255103650188291757864246959380928824539949863656336554223608906905943313298314112879161126373026179061_<139>

(47·10¹⁹⁸+61)/9 =: 5(2)₁₉₇9_<199>; = 3 · 1014489871_<10> · 578280264100489_<15> · 1677323893649059603487_<22> · 1769013202880556087322436136492229715463885443666704222738297697397090450445595798628047771639779736156452746782248874433359312787436558444650544948859231_<154>

(47·10¹⁹⁹+61)/9 =: 5(2)₁₉₈9_<200>; = 73 · 4217 · 2684083978692300090597363523_<28> · 63202286113702173264981798529559825353034093786234018934425276398971202064513116757169543880196343554554013425716288711412216077936131200892071137132055814019867784903_<167>

(47·10²⁰⁰+61)/9 =: 5(2)₁₉₉9_<201>; = 23 · 29 · 1821402884526033038533370786121841309816963740679_<49> · 429856496359875945099381474633284382898100856895829070340592911058234885519310144276396296060479619834175215447282578435029435921107042424727017527353_<150> (Wataru Sakai / Msieve / 879.42 hours / Nov 29, 2009)

(47·10²⁰¹+61)/9 =: 5(2)₂₀₀9_<202>; = 3² · 7 · 31 · 127 · 1140060450165507571_<19> · [18468069677985447348595991085277919295493721698112076946693120660705930326801160462605078657547062817127194891913789323089501242259893980564889949167558401391041733282874818753929_<179>] SUBMIT/RESERVE

(47·10²⁰²+61)/9 =: 5(2)₂₀₁9_<203>; = 865899345726418311401100440567_<30> · [60309806769067453478798491937303351328545411875364204694156068072738920348778670301762228581576300711935948422364956649991658232807060243571107213573703990887779759656888787_<173>] (Makoto Kamada / GMP-ECM 6.2.1 B1=1e6, sigma=3375487628 for P30 / Mar 16, 2009) SUBMIT/RESERVE

(47·10²⁰³+61)/9 =: 5(2)₂₀₂9_<204>; = 111820061 · 441206002031_<12> · 52703381972789_<14> · 200842550148333193966383715821587725056086772376415178699760168161474778342268316364340699769357986454652794395533401477319420620616855362421472326963248395928149606099771_<171>

(47·10²⁰⁴+61)/9 =: 5(2)₂₀₃9_<205>; = 3 · 421 · 9923 · 15583 · 222814515928552546450240458078968957_<36> · 4385253989569270533776671018621661869_<37> · 27366528056468851212074843436957186906076931664429244140930164801842994994512733673659083597723369535005852381030431037039_<122> (Dmitry Domanov / GMP-ECM B1=3000000, sigma=1169588101 for P36 / May 19, 2011) (matsui / Jun 19, 2011)

(47·10²⁰⁵+61)/9 =: 5(2)₂₀₄9_<206>; = 17 · 8761 · 20194671096761091832186829435988704365487_<41> · 9471896794686022886422445694883334722867319_<43> · 1833069811112554214479030625907879474746219426511471381872548281127265355644588248308625697591882480899120783940961589_<118> (Lionel Debroux / ggnfs-lasieve4I14e on the RSALS grid + msieve (Lionel Debroux + Jeff Gilchrist) for P41 x P43 x P118 / Dec 22, 2009)

4. References

A103011 - OEIS (The OEIS Foundation Inc.)