Factorizations of 100...009

Table of contents

1. About 100...009
   • First ten terms
   • General term
2. Prime numbers of the form 100...009
   • Last update
   • Searched up to
   • Difficulty of search
   • Results
3. Factorizations of 100...009
   • Last update
   • Completed up to
   • Range
   • Terms which have not been factored yet
   • Results
4. References

1. About 100...009

First ten terms

19, 109, 1009, 10009, 100009, 1000009, 10000009, 100000009, 1000000009, 10000000009

General term

10ⁿ+9

2. Prime numbers of the form 100...009

Last update

Aug 9, 2009

Searched up to

n≤39254

Difficulty of search

29.15%

Results

1. 10¹+9 = 19 is prime.
2. 10²+9 = 109 is prime.
3. 10³+9 = 1009 is prime.
4. 10⁴+9 = 10009 is prime.
5. 10⁹+9 = 1000000009_<10> is prime.
6. 10¹⁸+9 = 1(0)₁₇9_<19> is prime.
7. 10²²+9 = 1(0)₂₁9_<23> is prime.
8. 10⁴⁵+9 = 1(0)₄₄9_<46> is prime.
9. 10⁴⁹+9 = 1(0)₄₈9_<50> is prime.
10. 10⁵⁶+9 = 1(0)₅₅9_<57> is prime.
11. 10⁶⁹+9 = 1(0)₆₈9_<70> is prime.
12. 10¹⁴⁶+9 = 1(0)₁₄₅9_<147> is prime. (Makoto Kamada / PPSIQS / May 18, 2004)
13. 10²⁰²+9 = 1(0)₂₀₁9_<203> is prime. (Makoto Kamada / PPSIQS / May 18, 2004)
14. 10²⁷²+9 = 1(0)₂₇₁9_<273> is prime. (Makoto Kamada / PPSIQS / May 18, 2004)
15. 10²⁷³⁰+9 = 1(0)₂₇₂₉9_<2731> is prime. (searched by Makoto Kamada / PFGW / Jul 8, 2004) (certified by Sinkiti Sibata / PRIMO 3.0.4 / Jan 30, 2008)
16. 10²⁸⁴¹+9 = 1(0)₂₈₄₀9_<2842> is PRP. (Makoto Kamada / PFGW / Jul 8, 2004)
17. 10⁴⁵⁶²+9 = 1(0)₄₅₆₁9_<4563> is PRP. (Makoto Kamada / PFGW / Jul 8, 2004)
18. 10³¹⁸¹⁰+9 = 1(0)₃₁₈₀₉9_<31811> is PRP. (Dirk Augustin / Oct 14, 2006)
19. 10⁴³¹⁸⁶+9 = 1(0)₄₃₁₈₅9_<43187> is PRP. (Jason Earls / Dec 2007)
20. 10⁴⁸¹⁰⁹+9 = 1(0)₄₈₁₀₈9_<48110> is PRP. (Jason Earls / Dec 2007)

3. Factorizations of 100...009

Last update

Nov 8, 2009

Completed up to

• n≤100 / May 18, 2004
• n≤150 / Nov 2, 2006

Range

n≤200

Terms which have not been factored yet

n=176, 179, 182, 183, 186, 190, 195, 196, 198 (9/200)

Results

10¹+9 =

19

= definitely prime number

10²+9 =

109

= definitely prime number

10³+9 =

1009

= definitely prime number

10⁴+9 =

10009

= definitely prime number

10⁵+9 =

100009

= 7² · 13 · 157

10⁶+9 =

1000009

= 293 · 3413

10⁷+9 =

10000009

= 23 · 434783

10⁸+9 =

100000009

= 149 · 671141

10⁹+9 =

1000000009_<10>

= definitely prime number

10¹⁰+9 =

10000000009_<11>

= 33889 · 295081

10¹¹+9 =

100000000009_<12>

= 7 · 13 · 53 · 1979 · 10477

10¹²+9 =

1000000000009_<13>

= 29 · 66413 · 519217

10¹³+9 =

10000000000009_<14>

= 47 · 69761 · 3049927

10¹⁴+9 =

100000000000009_<15>

= 17 · 541 · 1249 · 8705453

10¹⁵+9 =

1000000000000009_<16>

= 179 · 367 · 47207 · 322459

10¹⁶+9 =

10000000000000009_<17>

= 197 · 11717 · 4332288241_<10>

10¹⁷+9 =

100000000000000009_<18>

= 7 · 13² · 84530853761623_<14>

10¹⁸+9 =

1000000000000000009_<19>

= definitely prime number

10¹⁹+9 =

10000000000000000009_<20>

= 19 · 318007 · 1655044667173_<13>

10²⁰+9 =

100000000000000000009_<21>

= 557 · 72937 · 2461483384901_<13>

10²¹+9 =

1000000000000000000009_<22>

= 89 · 103 · 727 · 11971 · 12343 · 1015517

10²²+9 =

10000000000000000000009_<23>

= definitely prime number

10²³+9 =

100000000000000000000009_<24>

= 7 · 13 · 197419 · 5566339100598721_<16>

10²⁴+9 =

1000000000000000000000009_<25>

= 53 · 193 · 5189 · 82633 · 189169 · 1205257

10²⁵+9 =

10000000000000000000000009_<26>

= 173 · 3739 · 336958757 · 45879817771_<11>

10²⁶+9 =

100000000000000000000000009_<27>

= 317 · 315457413249211356466877_<24>

10²⁷+9 =

1000000000000000000000000009_<28>

= 115901179 · 8628039927014029771_<19>

10²⁸+9 =

10000000000000000000000000009_<29>

= 461 · 7873 · 339341 · 11725297 · 692466289

10²⁹+9 =

100000000000000000000000000009_<30>

= 7 · 13 · 23 · 6526241 · 12047047 · 607696954219_<12>

10³⁰+9 =

1000000000000000000000000000009_<31>

= 17 · 1021 · 57613642910641239845595437_<26>

10³¹+9 =

10000000000000000000000000000009_<32>

= 18821053 · 531319900113984058171453_<24>

10³²+9 =

100000000000000000000000000000009_<33>

= 343997 · 290700209594851117887655997_<27>

10³³+9 =

1000000000000000000000000000000009_<34>

= 5059 · 197667523225933979047242538051_<30>

10³⁴+9 =

10000000000000000000000000000000009_<35>

= 2532184185301_<13> · 3949159803638574142309_<22>

10³⁵+9 =

100000000000000000000000000000000009_<36>

= 7 · 13 · 59 · 60440407 · 95320451 · 3232906373039773_<16>

10³⁶+9 =

1000000000000000000000000000000000009_<37>

= 26113 · 20499713702449_<14> · 1868079847957684057_<19>

10³⁷+9 =

10000000000000000000000000000000000009_<38>

= 19 · 53 · 569 · 1049 · 20939 · 794560256286499428881893_<24>

10³⁸+9 =

100000000000000000000000000000000000009_<39>

= 6361 · 3685603013_<10> · 4265461733431061133622013_<25>

10³⁹+9 =

1000000000000000000000000000000000000009_<40>

= 167 · 3916011157_<10> · 1529113098003313064420243411_<28>

10⁴⁰+9 =

10000000000000000000000000000000000000009_<41>

= 29 · 773 · 13441 · 33188752396862657943073901823097_<32>

10⁴¹+9 =

100000000000000000000000000000000000000009_<42>

= 7 · 13 · 1613 · 681277804650402294543646062554928023_<36>

10⁴²+9 =

1000000000000000000000000000000000000000009_<43>

= 3593 · 278318953520734762037294739771778458113_<39>

10⁴³+9 =

10000000000000000000000000000000000000000009_<44>

= 473411 · 735173 · 28732413402023228574786262684903_<32>

10⁴⁴+9 =

100000000000000000000000000000000000000000009_<45>

= 269 · 371747211895910780669144981412639405204461_<42>

10⁴⁵+9 =

1000000000000000000000000000000000000000000009_<46>

= definitely prime number

10⁴⁶+9 =

10000000000000000000000000000000000000000000009_<47>

= 17 · 181 · 257 · 709 · 2633 · 2338619856704273_<16> · 2896560828828149401_<19>

10⁴⁷+9 =

100000000000000000000000000000000000000000000009_<48>

= 7² · 13 · 1103 · 142326265885390351133130565846535280546419_<42>

10⁴⁸+9 =

1000000000000000000000000000000000000000000000009_<49>

= 10612446529_<11> · 94228978894485791948153711163918930121_<38>

10⁴⁹+9 =

10000000000000000000000000000000000000000000000009_<50>

= definitely prime number

10⁵⁰+9 =

100000000000000000000000000000000000000000000000009_<51>

= 53 · 33929941 · 55608480216048376837592585818758851608433_<41>

10⁵¹+9 =

1000000000000000000000000000000000000000000000000009_<52>

= 23 · 619693 · 230943114146407583_<18> · 303801949081035085406416357_<27>

10⁵²+9 =

10000000000000000000000000000000000000000000000000009_<53>

= 97 · 60961 · 20631405476568442002077_<23> · 81968571913187607828701_<23>

10⁵³+9 =

100000000000000000000000000000000000000000000000000009_<54>

= 7 · 13 · 47807 · 2285813 · 3442651 · 2921012527832482457719550700906739_<34>

10⁵⁴+9 =

1000000000000000000000000000000000000000000000000000009_<55>

= 61 · 6653 · 12246653 · 13434257 · 14976887817099219115020717738287813_<35>

10⁵⁵+9 =

10000000000000000000000000000000000000000000000000000009_<56>

= 19 · 103 · 2287 · 57378619 · 21152204856641_<14> · 1840929997355121048523759169_<28>

10⁵⁶+9 =

100000000000000000000000000000000000000000000000000000009_<57>

= definitely prime number

10⁵⁷+9 =

1000000000000000000000000000000000000000000000000000000009_<58>

= 131 · 1289 · 5922100687555889825238808710225691257202754961239851_<52>

10⁵⁸+9 =

10000000000000000000000000000000000000000000000000000000009_<59>

= 25097 · 8372477381430169647293_<22> · 47590931612383967990516956743829_<32>

10⁵⁹+9 =

100000000000000000000000000000000000000000000000000000000009_<60>

= 7 · 13 · 47 · 1643821345757_<13> · 14223488766011279006967726932458258348679881_<44>

10⁶⁰+9 =

1000000000000000000000000000000000000000000000000000000000009_<61>

= 11069 · 4001286937_<10> · 22578335198067455967303388696235369076794326853_<47>

10⁶¹+9 =

10000000000000000000000000000000000000000000000000000000000009_<62>

= 955957 · 10479967 · 210618853 · 1855321962677_<13> · 2554378194844101943086789731_<28>

10⁶²+9 =

100000000000000000000000000000000000000000000000000000000000009_<63>

= 17² · 307114501 · 1098306748096133_<16> · 1025836582202891580862702687580283857_<37>

10⁶³+9 =

1000000000000000000000000000000000000000000000000000000000000009_<64>

= 53 · 10565641 · 65820173 · 10120628473822529606729_<23> · 2680783726879615088507849_<25>

10⁶⁴+9 =

10000000000000000000000000000000000000000000000000000000000000009_<65>

= 4176299879322594389_<19> · 2394464068423655294429688325345192385123940581_<46>

10⁶⁵+9 =

100000000000000000000000000000000000000000000000000000000000000009_<66>

= 7 · 13 · 89 · 2213 · 201005975457887_<15> · 27757363889344740398229258493813991073178361_<44>

10⁶⁶+9 =

1000000000000000000000000000000000000000000000000000000000000000009_<67>

= 17419233660846923581253_<23> · 57407806765213342611682109701646617646731253_<44>

10⁶⁷+9 =

10000000000000000000000000000000000000000000000000000000000000000009_<68>

= 5011 · 463649614213_<12> · 4304133115991266629019326086727836260747880412467863_<52>

10⁶⁸+9 =

100000000000000000000000000000000000000000000000000000000000000000009_<69>

= 29 · 173 · 389 · 661541 · 2279972641_<10> · 11099726593_<11> · 3060607338067788197518753559037036121_<37>

10⁶⁹+9 =

1000000000000000000000000000000000000000000000000000000000000000000009_<70>

= definitely prime number

10⁷⁰+9 =

10000000000000000000000000000000000000000000000000000000000000000000009_<71>

= 233 · 176144029 · 243655462971284241469045332244275022188090622768643397118037_<60>

10⁷¹+9 =

100000000000000000000000000000000000000000000000000000000000000000000009_<72>

= 7 · 13 · 461441 · 27719514687381131_<17> · 85912588722435682498206622800410226588499783969_<47>

10⁷²+9 =

1000000000000000000000000000000000000000000000000000000000000000000000009_<73>

= 701 · 6101 · 3800787890757331900322802049_<28> · 61518724620516367649694130673826375241_<38>

10⁷³+9 =

10000000000000000000000000000000000000000000000000000000000000000000000009_<74>

= 19 · 23 · 401 · 2437 · 2837 · 158925967 · 23972181841_<11> · 2166491050879227877624043335402337641228499_<43>

10⁷⁴+9 =

100000000000000000000000000000000000000000000000000000000000000000000000009_<75>

= 2273 · 640009 · 472663577 · 145432793359920088930815323300385163632551746780688951881_<57>

10⁷⁵+9 =

1000000000000000000000000000000000000000000000000000000000000000000000000009_<76>

= 1609 · 2556688350289903_<16> · 243089479289013139347321759970782706988667219525834194767_<57>

10⁷⁶+9 =

10000000000000000000000000000000000000000000000000000000000000000000000000009_<77>

= 53 · 1153 · 1777 · 12723121 · 4220758303106880341_<19> · 1714838614622699894508818821677867646452433_<43>

10⁷⁷+9 =

100000000000000000000000000000000000000000000000000000000000000000000000000009_<78>

= 7 · 13 · 423649 · 5066409637_<10> · 412633029993841_<15> · 1240760993901508574765288918144554098878748703_<46>

10⁷⁸+9 =

1000000000000000000000000000000000000000000000000000000000000000000000000000009_<79>

= 17 · 58823529411764705882352941176470588235294117647058823529411764705882352941177_<77>

10⁷⁹+9 =

10000000000000000000000000000000000000000000000000000000000000000000000000000009_<80>

= 1270102423_<10> · 131718413419_<12> · 59774336563903912554239754249518683175186086279598174510557_<59>

10⁸⁰+9 =

100000000000000000000000000000000000000000000000000000000000000000000000000000009_<81>

= 1973 · 2281 · 22220182903213549512011453171075632391960471183422499223960112105266783293_<74>

10⁸¹+9 =

1000000000000000000000000000000000000000000000000000000000000000000000000000000009_<82>

= 214783 · 360592747443720357197_<21> · 12911690531799134903783969795640220563008987528582098259_<56>

10⁸²+9 =

10000000000000000000000000000000000000000000000000000000000000000000000000000000009_<83>

= 30737537 · 325335110617353628561715924083312205529024658026438487898363489566519269257_<75>

10⁸³+9 =

100000000000000000000000000000000000000000000000000000000000000000000000000000000009_<84>

= 7 · 13 · 157 · 46401991739_<11> · 150842017645808483066517564593203383570668339882644301389279451476613_<69>

10⁸⁴+9 =

1000000000000000000000000000000000000000000000000000000000000000000000000000000000009_<85>

= 2333 · 7349 · 2961821 · 25134430501753_<14> · 783482240132149073340529248667794897329260655693803146629_<57>

10⁸⁵+9 =

10000000000000000000000000000000000000000000000000000000000000000000000000000000000009_<86>

= 35190735374357_<14> · 1764003334671730447_<19> · 9446525378537874397788757_<25> · 17052975191451395662532260703_<29>

10⁸⁶+9 =

100000000000000000000000000000000000000000000000000000000000000000000000000000000000009_<87>

= 991009 · 100907257149026900865683359081501782526697537560203792296538174728988334112001001_<81>

10⁸⁷+9 =

1000000000000000000000000000000000000000000000000000000000000000000000000000000000000009_<88>

= 885023 · 4038451 · 10562992324013728075633921_<26> · 26487664123300753522810233575025275124639262605773_<50>

10⁸⁸+9 =

10000000000000000000000000000000000000000000000000000000000000000000000000000000000000009_<89>

= 1129 · 32959467383168682673_<20> · 268736015137218369400770545632781711948956989707295382666045979377_<66>

10⁸⁹+9 =

100000000000000000000000000000000000000000000000000000000000000000000000000000000000000009_<90>

= 7³ · 13 · 53 · 103 · 263 · 997 · 9302577834136361_<16> · 1684206015194423425017762911431830297136994720047296251534459_<61>

10⁹⁰+9 =

1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009_<91>

= 28511929 · 3533942033_<10> · 131316266047656409_<18> · 75578009974633661101991422665652594983985823897845085993_<56>

10⁹¹+9 =

10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009_<92>

= 19 · 3539 · 126019 · 1578617878327594094681_<22> · 286995826295291604199606277_<27> · 2604816950997502703664642212970983_<34>

10⁹²+9 =

100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009_<93>

= 109394957929_<12> · 914118912728157387324004224216661794590048541504933403300454410653297779559311521_<81>

10⁹³+9 =

1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009_<94>

= 59 · 5521 · 329489 · 9317283733226224339052814158486698205002315167466865180122549843667010154539908779_<82>

10⁹⁴+9 =

10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009_<95>

= 17 · 1356023985893_<13> · 433794166059878998771586968545898337809602947994030358346094104711401173265001989_<81>

10⁹⁵+9 =

100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009_<96>

= 7 · 13² · 23 · 4289 · 36011 · 585841 · 11818511152796883077_<20> · 3436795252114506974429240541679575708013597573799487748567_<58>

10⁹⁶+9 =

1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009_<97>

= 29² · 8377 · 4078835209_<10> · 1375068724044461_<16> · 25307830965290039841835261517000007368472719662087010716146035813_<65>

10⁹⁷+9 =

10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009_<98>

= 1008247 · 6704472149415743_<16> · 1144625208537401088326808948019_<31> · 1292424446445023967463835886447912618628376891_<46>

10⁹⁸+9 =

100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009_<99>

= 1433 · 65440321 · 28710112637_<11> · 273010845316449497_<18> · 136048448238289667796249806445965191989522715425077037642317_<60>

10⁹⁹+9 =

1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009_<100>

= 3079409181853103653_<19> · 324737617167922950518581770926420981805685233555106229023735803175419695095128853_<81>

10¹⁰⁰+9 =

10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009_<101>

= 3221 · 426362206609_<12> · 7281662972128939980921782529252917011318952210150992083439865279439412269153282637781_<85>

10¹⁰¹+9 =

1(0)₁₀₀9_<102>

= 7 · 13 · 4651 · 2369110015252405174258766031965694277022136731_<46> · 99730280258329946244957337290482695756141223546579_<50> (Wojciech Florek)

10¹⁰²+9 =

1(0)₁₀₁9_<103>

= 53 · 113 · 142234096201_<12> · 1173929373448825372053109507634560461714729315944523897958333679714463355066388600071981_<88>

10¹⁰³+9 =

1(0)₁₀₂9_<104>

= 395931004471007_<15> · 1084490224535443860837384853_<28> · 23289214807042219660899366652880673931430372051611148027248379_<62>

10¹⁰⁴+9 =

1(0)₁₀₃9_<105>

= 769 · 2693 · 3533 · 3473329 · 782505629 · 17381690350253_<14> · 847748804469289_<15> · 341272333298071576646991206196689463200857535084377_<51>

10¹⁰⁵+9 =

1(0)₁₀₄9_<106>

= 47 · 317 · 1484291 · 53820072226771_<14> · 14314154597874823_<17> · 2175803186381250730103_<22> · 26977036380565385233633726364562477032859499_<44>

10¹⁰⁶+9 =

1(0)₁₀₅9_<107>

= 229 · 786889 · 119609573 · 95701127575969_<14> · 4848060698157545016557762733026929622144233454538464713827613188744908012297_<76>

10¹⁰⁷+9 =

1(0)₁₀₆9_<108>

= 7 · 13 · 1481 · 1757531 · 1315494311266343450405031173_<28> · 320930934554516045148676843062086862374601767370958463915917542494933_<69>

10¹⁰⁸+9 =

1(0)₁₀₇9_<109>

= 5813 · 473632417 · 363210385210754708143883698788471967635107866684987507523944994177809133815098254798028415811429_<96>

10¹⁰⁹+9 =

1(0)₁₀₈9_<110>

= 19 · 89 · 1523663 · 589265760122561_<15> · 6586523781517025977400293539309298026448578443563700028683918638545609500581035917093_<85>

10¹¹⁰+9 =

1(0)₁₀₉9_<111>

= 17 · 109 · 44089 · 5670503581_<10> · 13488742821137_<14> · 9613952403636504463017634694296069_<34> · 1664559259593636793505165643217513194064534789_<46>

10¹¹¹+9 =

1(0)₁₁₀9_<112>

= 173 · 4462037 · 38226387006909591241_<20> · 33888900393573103930397638483653215190238515266039747290863637891203673734449613649_<83>

10¹¹²+9 =

1(0)₁₁₁9_<113>

= 32219532001_<11> · 1139229725453_<13> · 228854361512434873_<18> · 1075471128086998993574358643275591889_<37> · 1106907969555485219843290667817742949_<37>

10¹¹³+9 =

1(0)₁₁₂9_<114>

= 7 · 13 · 1098901098901098901098901098901098901098901098901098901098901098901098901098901098901098901098901098901098901099_<112>

10¹¹⁴+9 =

1(0)₁₁₃9_<115>

= 61 · 197 · 28209372385446691031827707934227981145697_<41> · 2949921878782510902524946201902765360019176183479097760119909220054841_<70> (Makoto Kamada / GGNFS-0.77.1-20060513-pentium4 / 1.29 hours on Pentium 4 3.06GHz, Windows XP and Cygwin / May 30, 2006)

10¹¹⁵+9 =

1(0)₁₁₄9_<116>

= 53 · 2531569 · 741113423 · 842273219 · 119397900490818404863328023694551220621888101765806521812408872380622288314586324401197001_<90>

10¹¹⁶+9 =

1(0)₁₁₅9_<117>

= 111256744554457_<15> · 3052729705599278798406752741_<28> · 5505231043723870085469276793_<28> · 53482259761111102005149456829292624252000374149_<47> (Makoto Kamada / GGNFS-0.77.1-20060513-pentium4 / 1.32 hours on Pentium 4 3.06GHz, Windows XP and Cygwin / May 30, 2006)

10¹¹⁷+9 =

1(0)₁₁₆9_<118>

= 23 · 57809 · 9198193355801721503411_<22> · 494483303290457172737055375568117_<33> · 165356983312481002872361920331837449844696393099339472801_<57> (Wojciech Florek)

10¹¹⁸+9 =

1(0)₁₁₇9_<119>

= 13613 · 2705903560429_<13> · 13994715351677_<14> · 35994723084565686186464288069459521_<35> · 538928232274477427007248578813995399876225557874160501_<54>

10¹¹⁹+9 =

1(0)₁₁₈9_<120>

= 7 · 13 · 503 · 360695662058303207_<18> · 4022106436142165590420571_<25> · 1505900038181441673963278369716853216472129994695384730367869753036875089_<73> (Wojciech Florek / Msieve for P25 x P73 / May 28, 2006)

10¹²⁰+9 =

1(0)₁₁₉9_<121>

= 31277 · 373661 · 704461265062729_<15> · 32827259471903793769_<20> · 1322176402351055978857018640198513093_<37> · 2798439937391696695902730606971085494029_<40>

10¹²¹+9 =

1(0)₁₂₀9_<122>

= 21139 · 30638009 · 13493637383_<11> · 170133200063_<12> · 8429987329171575021990753529169_<31> · 797829322982018291444895450021441183168002510154518627059_<57>

10¹²²+9 =

1(0)₁₂₁9_<123>

= 797 · 87324709 · 46442319103878729137347867918441_<32> · 30937885895272059997914839937905492541094892096918455339201066688438011910438513_<80> (Bryan Koen / GMP-ECM 6.1 B1=1000000, sigma=565526603 for P32 / Jun 6, 2006)

10¹²³+9 =

1(0)₁₂₂9_<124>

= 103 · 238499 · 32305164513126162557_<20> · 18773503764276161506962976069278462929_<38> · 67121077829842783447774062931577985069295176234415358393849_<59> (Wojciech Florek)

10¹²⁴+9 =

1(0)₁₂₃9_<125>

= 29 · 337 · 353329 · 95845607426281_<14> · 9936258287780031431627041_<25> · 14236162480631298667002505725457_<32> · 213601744153746404917029620697315612347120741_<45>

10¹²⁵+9 =

1(0)₁₂₄9_<126>

= 7 · 13 · 384889 · 723939179 · 104798542417408554023904481_<27> · 37632735246204919539474660114544096567452721600807355325578711593030532758062764009_<83> (Alexander Mkrtychyan / GGNFS-0.77.1-20060513-pentium4 / 1.96 hours on P4 3GHz Windows XP / May 31, 2006)

10¹²⁶+9 =

1(0)₁₂₅9_<127>

= 17 · 274318956475637_<15> · 1041738337626943403078209_<25> · 205843241090004976202781507846830858649928215253448786732414569009636172845333027462069_<87> (Wojciech Florek)

10¹²⁷+9 =

1(0)₁₂₆9_<128>

= 19 · 157049 · 26941855579000825211582653_<26> · 46825902162825801996202790933_<29> · 788525560402102989926629782677081_<33> · 3368850904025704946611996323422531_<34> (Wojciech Florek)

10¹²⁸+9 =

1(0)₁₂₇9_<129>

= 53 · 251473 · 52465574683181377_<17> · 30448999857783325849_<20> · 176679059989406596033211063383513_<33> · 26582769234351461987985964936532401906354740627950789_<53>

10¹²⁹+9 =

1(0)₁₂₈9_<130>

= 383 · 470957 · 925380361 · 26662284559638260051010569411_<29> · 224699616945787993015228728987794854226294266940075097993481422453900414417478640009_<84> (Bryan Koen / GMP-ECM 6.1 B1=1000000, sigma=115979744 for P29 / Jun 6, 2006)

10¹³⁰+9 =

1(0)₁₂₉9_<131>

= 391921 · 12330994920017597897_<20> · 2069204177803567577907417154420606895585365075724921282300325848726005432568119081215474973287296503640657_<106>

10¹³¹+9 =

1(0)₁₃₀9_<132>

= 7² · 13 · 971 · 4463 · 6944437 · 5216478341712318021401820029807155162148740303729380072288796317219491578991924766875417962724145152028386642326357_<115>

10¹³²+9 =

1(0)₁₃₁9_<133>

= 17401 · 411766421379824555923211974201163701971862160573257_<51> · 139564468173065601765541228336856563574840263361218702800225268893329303849737_<78> (Wataru Sakai / GGNFS-0.77.1-20060513-pentium4 / 6.31 hours on Pentium4 3GHz, Windows XP and Cygwin / Jul 11, 2006)

10¹³³+9 =

1(0)₁₃₂9_<134>

= 373 · 7489 · 22769 · 69859570042728569_<17> · 31449626171692289773_<20> · 475904606640947180633457682277_<30> · 150370303360255248663292274668817700638037174782813455037_<57>

10¹³⁴+9 =

1(0)₁₃₃9_<135>

= 94790054759960000260474141_<26> · 124029498984456688541037285293_<30> · 3633991497322587335797417968701785073_<37> · 2340606084366516516916610437282530921315841_<43> (Robert Backstrom / ECM on UBASIC for P26, GMP-ECM 6.0.1 for P30, Msieve for P37 x P43 / May 11, 2006)

10¹³⁵+9 =

1(0)₁₃₄9_<136>

= 27943 · 36794447 · 136572881 · 7121643311933731693386154579991132604328531190212221549430720647234285860030084489756207348096503973066987792233009_<115>

10¹³⁶+9 =

1(0)₁₃₅9_<137>

= 442609 · 10180423203721_<14> · 225983225938973429_<18> · 9820593238739285126212935816522097245783545460322511782029978026933587243550143648271537763136578989_<100>

10¹³⁷+9 =

1(0)₁₃₆9_<138>

= 7 · 13 · 10531 · 1221487166840921371_<19> · 9983134448060752249_<19> · 326738071243955341618797967920171623_<36> · 26189874979894738661440013519378461192459826883417820697237_<59> (Wojciech Florek)

10¹³⁸+9 =

1(0)₁₃₇9_<139>

= 876233 · 3884165579644422661_<19> · 78273652233899717283899884219650481533344701_<44> · 3753764830682790162556690001403905303929149813189408310793058874824593_<70> (Bryan Koen / GGNFS-0.77.1-20060513-pentium3 / 17.78 hours on 1 Ghz Pentium3 running Linux / Jun 7, 2006)

10¹³⁹+9 =

1(0)₁₃₈9_<140>

= 23 · 881 · 2143 · 24164159986601181377625015589587447765463_<41> · 2160786218367515171952203262064220489890903_<43> · 4410527972854632022342616725553254342960601726209_<49> (Wataru Sakai / GGNFS-0.77.1-20060513-pentium4 / Jul 14, 2006)

10¹⁴⁰+9 =

1(0)₁₃₉9_<141>

= 47017 · 74498093 · 6280399637_<10> · 378185559992276358710822426933737_<33> · 275290255655372346657479721190470389_<36> · 43663331382360791758121439349427121020054742354629_<50> (Bryan Koen / GMP-ECM 6.1 B1=3000000, sigma=1210606465 for P33 / Jun 8, 2006) (Wojciech Florek / Msieve v. 1.03 for P36 x P50 / Jun 8, 2006)

10¹⁴¹+9 =

1(0)₁₄₀9_<142>

= 53 · 2186592059_<10> · 7069690841263_<13> · 15971964630412281802561_<23> · 346394798642851383471127_<24> · 1510567897781111983608234937484797_<34> · 146044763078434801517283972847472280451_<39> (Wojciech Florek)

10¹⁴²+9 =

1(0)₁₄₁9_<143>

= 17 · 50051153 · 4790572981_<10> · 2453293631039763795856331635177375270646389769964906510694598276795589414658150779070654285259816952581974008595965866804389_<124>

10¹⁴³+9 =

1(0)₁₄₂9_<144>

= 7 · 13 · 14123789326633390707175391575607972980529708650840213007567_<59> · 77804976659407440945486259813469379792634366567097067716248415916074333006508991397_<83> (Sinkiti Sibata / GGNFS-0.77.1 / 14.91 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Oct 31, 2006)

10¹⁴⁴+9 =

1(0)₁₄₃9_<145>

= 3510171520019041_<16> · 343319428714803493135074217320184461540413041_<45> · 829799713580309012101243243527869721960794456291028171104017893615600289042582210489_<84> (Sinkiti Sibata / GGNFS-0.77.1 / 20.78 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Nov 1, 2006)

10¹⁴⁵+9 =

1(0)₁₄₄9_<146>

= 19 · 526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684210526315789473684211_<144>

10¹⁴⁶+9 =

1(0)₁₄₅9_<147>

= definitely prime number

10¹⁴⁷+9 =

1(0)₁₄₆9_<148>

= 27779 · 245032700571811_<15> · 146912701797297399830761754584282406674589913336512391937595520176729042253804024894602816388232245145531476336735589639695916961_<129>

10¹⁴⁸+9 =

1(0)₁₄₇9_<149>

= 97 · 79683889 · 5378292548611692817_<19> · 5889397962778065293_<19> · 40845331058284286133236063737166059684022724675825024806164036693497789661427093887393473292713171533_<101>

10¹⁴⁹+9 =

1(0)₁₄₈9_<150>

= 7 · 13 · 1289 · 14111809 · 2038469620239917_<16> · 80577406982383442189446811_<26> · 367794702512173851463405661443194990091070675569301662648266498490154427340333411671971726316077_<96> (Bryan Koen / GMP-ECM 6.1 B1=3000000, sigma=479753045 for P26 / Jun 8, 2006)

10¹⁵⁰+9 =

1(0)₁₄₉9_<151>

= 322132274449397_<15> · 6485315883937021911089291466838963163589677_<43> · 478668255410426241114341996907533012450905011400520344471359974267559844215862172691771363961_<93> (Sinkiti Sibata / GGNFS-0.77.1-20060722-pentium4 / 30.86 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Nov 2, 2006)

10¹⁵¹+9 =

1(0)₁₅₀9_<152>

= 47 · 59 · 1259 · 7127 · 2966921 · 11067807493_<11> · 72688089600520497603686170777972481_<35> · 304041896967341114744845407635505771861889_<42> · 553800538862497459614953502422358377149435369453_<48> (Bryan Koen / GMP-ECM 6.1 B1=3000000, sigma=4234194925 for P35 / Jun 8, 2006) (Bryan Koen / GGNFS-0.77.1-20060513-pentium3 gnfs for P42 x P48 / 7.78 hours on Pentium 3 running Linux / Jun 9, 2006)

10¹⁵²+9 =

1(0)₁₅₁9_<153>

= 29 · 293 · 1640081714429881_<16> · 269884379947565697172496988236741_<33> · 26588335208574136942682656526949478340363566869268859697120096025992721634714319195150472641068851757_<101> (Wataru Sakai / GMP-ECM 6.1 B1=11000000, sigma=3696522381 for P33 / Jun 24, 2006)

10¹⁵³+9 =

1(0)₁₅₂9_<154>

= 89 · 952968475741213558173290137369408967511606469763002925432064241_<63> · 11790479267890275373671218734902940171749839873008160665577378805343748249303568644645441_<89> (Sinkiti Sibata / GGNFS-0.77.1-20060722-pentium4 / 37.55 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Nov 4, 2006)

10¹⁵⁴+9 =

1(0)₁₅₃9_<155>

= 53² · 173 · 61663679403222757509249170662209857982446222255631728629_<56> · 333712690670157588584103442128065072187953963434123029832366265075137324719065556444993079553_<93> (Sinkiti Sibata / GGNFS-0.77.1-20060722-pentium4 / 46.83 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Nov 6, 2006)

10¹⁵⁵+9 =

1(0)₁₅₄9_<156>

= 7 · 13 · 36819899903_<11> · 79017600284684020776597601_<26> · 377704507649203485094138150729343418582135548032657891156331722185962796664870047824029441603130922378771354117137333_<117> (Wojciech Florek / GMP-ECM 6.0.1 B1=50000, sigma=3928367503 for P26 / Jun 15, 2006)

10¹⁵⁶+9 =

1(0)₁₅₅9_<157>

= 149 · 12577 · 17257 · 383981700070505184610830877165967851949977_<42> · 1245447807805174631186627010827838254868677573_<46> · 64659942178328230286420137484904735606524156752097366805889_<59> (Sinkiti Sibata / GGNFS-0.77.1-20060722-pentium4 / 51.11 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Nov 8, 2006)

10¹⁵⁷+9 =

1(0)₁₅₆9_<158>

= 103 · 379 · 11025855177473150881_<20> · 489153471136315018633879719917_<30> · 47496995862766072526492146025536044546152041717277054294283602053960385357153879208150508927116593915441_<104> (Wataru Sakai / GMP-ECM 6.1 B1=11000000, sigma=3999730586 for P30 / Jun 24, 2006)

10¹⁵⁸+9 =

1(0)₁₅₇9_<159>

= 17 · 677 · 50753 · 71389 · 521177 · 24647897264581_<14> · 186682787155692504928781410668475602043700869695767217073470287368923727475048973729735740970716086319376195593343319544491069_<126>

10¹⁵⁹+9 =

1(0)₁₅₈9_<160>

= 499 · 25186187487813621841913773118823816536903_<41> · 79567739936888292295596294112639084452134355303693380058498429690502044773614914416009946349393011410085895946365397_<116> (Sinkiti Sibata / GGNFS-0.77.1-20060722-pentium4 / 76.30 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Nov 11, 2006)

10¹⁶⁰+9 =

1(0)₁₅₉9_<161>

= 14215681 · 3834622668996503113_<19> · 49511107570580443175710053727301_<32> · 1308389305580216069241507311202182597_<37> · 2831848842389382643911352301752663424041355458316158491328312822249_<67> (Wataru Sakai / GMP-ECM 6.1 B1=11000000, sigma=3832079020 for P32, GGNFS-0.77.1-20060513-pentium4 gnfs for P37 x P67 / Jul 9, 2006)

10¹⁶¹+9 =

1(0)₁₆₀9_<162>

= 7 · 13 · 23 · 157 · 8059 · 13415957160051517_<17> · 33227221889480924019367_<23> · 37811313891994346064305264570354822948081755411_<47> · 2240332608851730481538608681856319442213805555106852747449191086419_<67> (Alfred Reich / Msieve v. 1.06 for P47 x P67 / Jun 16, 2006)

10¹⁶²+9 =

1(0)₁₆₁9_<163>

= 5573 · 735595652772776933_<18> · 44574910306875039119713293503029_<32> · 15796214831501458885442791692067196909108663273_<47> · 346440210180306140299079585071546545979928246632083029744358053_<63> (Wataru Sakai / GMP-ECM 6.1 B1=11000000, sigma=158662752 for P32 / GGNFS-0.77.1-20060513-pentium4 gnfs for P47 x P63 / 23.20 hours / Aug 9, 2006)

10¹⁶³+9 =

1(0)₁₆₂9_<164>

= 19 · 223 · 5851 · 88411 · 2701583 · 341165536047659_<15> · 21282218145805492933175466817926209552898014184560253546079961_<62> · 232597357666536071396985516556630866129009673684071188821993975702361_<69> (Sinkiti Sibata / GGNFS-0.77.1-20060722-pentium4 / 108.09 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Nov 16, 2006)

10¹⁶⁴+9 =

1(0)₁₆₃9_<165>

= 1013 · 1949 · 2017 · 129581 · 23395249 · 137393343394969_<15> · 60289006379892200444878264096729303781736604160626979695462471724212704844881035246257197297501276500371864047683465141189787461_<128>

10¹⁶⁵+9 =

1(0)₁₆₄9_<166>

= 1117 · 29009 · 658851377041905167825719734691_<30> · 405476469408529846096552458965513686928349281_<45> · 115521003954448422975067155610313660368992451637991336302242072977588854951379884143_<84> (Makoto Kamada / GMP-ECM 5.0.3 B1=74100, sigma=2328338186 for P30) (Sinkiti Sibata / GGNFS-0.77.1-20060722-pentium4 / 109.42 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Nov 21, 2006)

10¹⁶⁶+9 =

1(0)₁₆₅9_<167>

= 6841 · 3298055297_<10> · 96175707342105206747325741564689382490429756801_<47> · 4608473425480966721109597553701118029210118730372926247354918207318621993190226935764939329385047887076817_<106> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs, Msieve 1.28 / Oct 25, 2007)

10¹⁶⁷+9 =

1(0)₁₆₆9_<168>

= 7 · 13 · 53 · 877 · 107171 · 578285490464535003292508528455551062720454372885574351763458327_<63> · 381472790189423991118742839850166453080558585132743676617075753578582424625410729307533832287_<93> (Sinkiti Sibata / GGNFS-0.77.1-20060722-pentium4 / 178.55 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Dec 3, 2006)

10¹⁶⁸+9 =

1(0)₁₆₇9_<169>

= 577 · 679297 · 119489942477777886036889_<24> · 21351733400501370493535249767829835435889362797847645727601344986463459458555956334633511177844419097662288523342059042998305955283776049_<137>

10¹⁶⁹+9 =

1(0)₁₆₈9_<170>

= 7602021143_<10> · 1315439645837880564284560554003710431406254772106728932837433967131496045616825509531472241000053740576659167021209112151505101384851541710583216671803460676063_<160>

10¹⁷⁰+9 =

1(0)₁₆₉9_<171>

= 28327877 · 3530091577282688709782240299899635966366275877292181126033553449840240410532705998405740041867592124888144635759326404869662488297305159860726590983150625795219317_<163>

10¹⁷¹+9 =

1(0)₁₇₀9_<172>

= 114870713498291_<15> · 152103797335211_<15> · 1077903296318851813591058561693_<31> · 119386461467535400538961423925754434819_<39> · 444749782753570053864318452769186104647351235367140088183461389738755377327_<75> (Wataru Sakai / GMP-ECM 6.1 B1=11000000, sigma=4016778470 for P31 / Jul 23, 2006) (JMB / GMP-ECM 6.0.1 B1=11000000, sigma=367799390 for P39 / Aug 11, 2006)

10¹⁷²+9 =

1(0)₁₇₁9_<173>

= 906364483684678849_<18> · 11033088983525270521710566428695308735374238449019543977953683177002635072428331846541186804558553722102172757409800772232489813867240552316692554946112841_<155>

10¹⁷³+9 =

1(0)₁₇₂9_<174>

= 7² · 13² · 2515573 · 501355609 · 980959509182183_<15> · 43621013613880185555572860857609538355052262229723114093_<56> · 223762640416341510155833285985486831687028975194572884766702131594185801601877826383_<84> (Sinkiti Sibata / GGNFS-0.77.1-20060722-pentium4 / 366.05 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Dec 26, 2006)

10¹⁷⁴+9 =

1(0)₁₇₃9_<175>

= 17 · 61 · 1549 · 2389 · 100193 · 322986173 · 6165013601203081_<16> · 208421712381864306682687832510484289595729702062678553885057_<60> · 6266937537962105847323092604694692272408337913842644374735743827566692617849_<76> (Sinkiti Sibata / GGNFS-0.77.1-20060722-pentium4 / 377.97 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Jan 12, 2007)

10¹⁷⁵+9 =

1(0)₁₇₄9_<176>

= 3851 · 219533 · 85277080211_<11> · 16208367959129657766791547475962271323480435637_<47> · 8557660626492680468621533137816698825726336699568343271840514655920348964720598883835279448245250317366446089_<109> (Serge Batalov / Msieve-1.38 snfs / 50.00 hours on Opteron-2.6GHz; Linux x86_64 / Oct 9, 2008)

10¹⁷⁶+9 =

1(0)₁₇₅9_<177>

= 1709 · 1384881404233_<13> · [42251813442342396858921049759825349430663710419241563377027866884665187424936755825408268679095823687019034870716894393801855541276121488325116132121272418285797_<161>] SUBMIT/RESERVE

10¹⁷⁷+9 =

1(0)₁₇₆9_<178>

= 33223 · 58440312251_<11> · 744650270536087_<15> · 1299108566054859101828202487_<28> · 47281281988259427195595389853_<29> · 6045096991231523085796053943692409216016933_<43> · 1862766037506329182860674793008889448818081551293_<49> (Sinkiti Sibata / GGNFS-0.77.1-20060722-pentium4 gnfs for P29 x P43 x P49 / 103.73 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Aug 11, 2007)

10¹⁷⁸+9 =

1(0)₁₇₇9_<179>

= 653 · 16981 · 901827671012904883423893365010330886885288331892062410442875845474714420485989520942828364247835591043877252957160570326641080613203135871250752913376836898964548522973113_<171>

10¹⁷⁹+9 =

1(0)₁₇₈9_<180>

= 7 · 13 · 1153681 · 3770059 · 139443098990281_<15> · [1811872755059516195892304830314956296297708226109641486671117966207237623694298687193320614107231164397780494682776646101280094271754040891817466416201_<151>] SUBMIT/RESERVE

10¹⁸⁰+9 =

1(0)₁₇₉9_<181>

= 29 · 53 · 67033 · 2271206017_<10> · 5186257364017_<13> · 23670431279329_<14> · 280771938914481207966046774999018277_<36> · 1153178324949098471581835646098710369_<37> · 107515366282598987181603343567825994793954957702377171456669085293_<66> (Wataru Sakai / GMP-ECM 6.1 B1=11000000, sigma=3589888326 for P37 / Oct 7, 2006) (JMB / GGNFS-0.77.1-20060513-pentium4 gnfs for P36 x P66 / 4.5 hours A mix of 4 systems (XP and 2K) with an experimental network version of GGNFS / Oct 8, 2006)

10¹⁸¹+9 =

1(0)₁₈₀9_<182>

= 19² · 663883229598790612639169_<24> · 1972852879967879178904902617372213_<34> · 21149806574944880773112316633222849030124545193584976920415264370446417132428148912879467226040854694780865097353747249277_<122> (Wataru Sakai / GMP-ECM 6.1 B1=11000000, sigma=812881750 for P34 / Nov 25, 2006)

10¹⁸²+9 =

1(0)₁₈₁9_<183>

= 141601 · 352487833913_<12> · 16024668192521395637_<20> · [125026047508049222643775306587551145519988708212134327609538854507435909032673048951394702008581084500016272676366420021444621156642137429333758989_<147>] SUBMIT/RESERVE

10¹⁸³+9 =

1(0)₁₈₂9_<184>

= 23 · 30293 · 585317 · 445646699 · [5502347911213069718720698339698754684445480199542785002940489070902853403709437141555421371777394602341417121522356449261838837415786310525864870645421817071227957_<163>] SUBMIT/RESERVE

10¹⁸⁴+9 =

1(0)₁₈₃9_<185>

= 317 · 4513 · 111913 · 71967629 · 867875985666781552001925649692082129844786316737150184918054299151080859230073660385190894976747040710334464056009222475245950758332087470806638056127370801945235177_<165>

10¹⁸⁵+9 =

1(0)₁₈₄9_<186>

= 7 · 13 · 229846571 · 1275374768743384691_<19> · 2601396325020582930122538337721_<31> · 4277579851308146456603644470753277_<34> · 336882235159639253303716540858681759020527027546821580356810549616254660757873213006852842127_<93> (Wojciech Florek / GMP-ECM 6.0.1 B1=50000, sigma=339602912 for P31 / Jun 15, 2006) (JMB / GMP-ECM 6.1.1 B1=11000000, sigma=1659787053 for P34 / Nov 10, 2006)

10¹⁸⁶+9 =

1(0)₁₈₅9_<187>

= 422581 · 442631644818533_<15> · [5346229205208768543218293895405520496586461590225426072382697018519731469611368521865962713541428346931416138198151723435264152241762224615646373744369812707586185633_<166>] SUBMIT/RESERVE

10¹⁸⁷+9 =

1(0)₁₈₆9_<188>

= 131 · 889796277314453_<15> · 257182844103564007_<18> · 534221796617984999646462038876207_<33> · 46380071957938637799624457780838279939_<38> · 13463038988859045230601743027672415432613633469191464238601408561268969782958135733_<83> (Wataru Sakai / GMP-ECM 6.1 B1=11000000, sigma=2828955740 for P33 / Jul 9, 2006) (Tyler Cadigan / GGNFS-0.77.1-20060722-pentium4 gnfs for P38 x P83 / 108.78 hours on Pentium 4 3.20 GHz, Windows XP and Cygwin / Oct 7, 2006)

10¹⁸⁸+9 =

1(0)₁₈₇9_<189>

= 3088873 · 4586597 · 536764961803983929829937_<24> · 13149983443320029279146019365333698266513182621537885490483881821379171578373321152990156125289363282066271080707782634960502256929743255246781843466397_<152>

10¹⁸⁹+9 =

1(0)₁₈₈9_<190>

= 14929 · 269221423 · 12192227834085072186320734367252819_<35> · 20406879351220085024953499773532182396131297871099978867280706469418636599119483854979393271010719938699602587208502179786539720548754102460333_<143> (Wataru Sakai / GMP-ECM 6.1 B1=11000000, sigma=3681348193 for P35 / Jun 30, 2006)

10¹⁹⁰+9 =

1(0)₁₈₉9_<191>

= 17 · 661 · 3617 · 9255737 · 58578835214747005278058475891560020601_<38> · [453784202451725518980480133089420040136273460591104916659256777047754295589507064687162836139574199000297912034696834143699088261379945733_<138>] (Wataru Sakai / GMP-ECM 6.1 B1=11000000, sigma=1137733758 for P38 / Jul 23, 2006) SUBMIT/RESERVE

10¹⁹¹+9 =

1(0)₁₉₀9_<192>

= 7 · 13 · 103 · 558512525126795884293354955450279221529_<39> · 19102423361688353491586596941283273631279087307124210159959098992316128275614458548628339728160988510023049614103059197070847250912364210612167195877_<149> (matsui / GGNFS-0.77.1-20060513-pentium-m snfs / 477.36 hours / Aug 20, 2008)

10¹⁹²+9 =

1(0)₁₉₁9_<193>

= 325208379747671632800443572929049811907718391209_<48> · 3074951515012920315894112276452006313835272802228418099697777887803931547784516799444634005241238767287033369894773351997005678938044816110863201_<145> (Jo Yeong Uk / GMP-ECM 6.1.3 B1=11000000, sigma=413694509 for P48 / Oct 7, 2007)

10¹⁹³+9 =

1(0)₁₉₂9_<194>

= 53 · 179 · 1914139 · 3073453 · 4655656651_<10> · 35142302784317_<14> · 1095115411632734803680711681413131457970150670302358203457188658161934027657265851572229890893692104924052882648906266243122485538680093864674195033816263_<154>

10¹⁹⁴+9 =

1(0)₁₉₃9_<195>

= 601 · 1669 · 4157 · 102873857153_<12> · 779377879409212880284613409841_<30> · 299113536682015207303470362477684416309447351856104432130038973632908830947016400385722023444292682919977688505297634840607839940972350056603601_<144> (Wataru Sakai / GMP-ECM 6.1 B1=11000000, sigma=129085359 for P30 / Jun 24, 2006)

10¹⁹⁵+9 =

1(0)₁₉₄9_<196>

= 7943860933_<10> · [125883371881026860367873965147118720337245863515924165285233348633697689128466015657527624042559507379533326984036214622892618555864137507302458211348952374718012954419377170131535584373_<186>] SUBMIT/RESERVE

10¹⁹⁶+9 =

1(0)₁₉₅9_<197>

= 409 · 24509 · 24568382659368173_<17> · 44401499461295046411183451748843306897700065477_<47> · [914485651586525533357484598772878668557145673386605657821723195587345693907083602731033750236232276619318600012074196323998309_<126>] (Wataru Sakai / GMP-ECM 6.1 B1=11000000, sigma=2570867251 for P47 / Nov 11, 2006) SUBMIT/RESERVE

10¹⁹⁷+9 =

1(0)₁₉₆9_<198>

= 7 · 13 · 47 · 89² · 173 · 280013 · 60933544084599386950268295266110729612717679192078991977134720129336314863042511425347353862183117087145661232335901493071323952225293774677805405563599566010548745485216827812104173_<182>

10¹⁹⁸+9 =

1(0)₁₉₇9_<199>

= 225961 · 124678768297051697_<18> · 9690036302476528221435163969533038158217_<40> · [3663098565111345395412929971728350097530716199796536338138921821753864966157300030614431362264492489238686784881314038315456171995557481_<136>] (Wataru Sakai / GMP-ECM 6.1 B1=11000000, sigma=250750163 for P40 / Nov 15, 2006) SUBMIT/RESERVE

10¹⁹⁹+9 =

1(0)₁₉₈9_<200>

= 19 · 21379 · 185261891465766799561_<21> · 548503959095269885262173_<24> · 242266380745618460967346802852732470143183242896288649777171496780836916166404615542444259751863644712735139297727280020748576164909062216302439797853_<150>

10²⁰⁰+9 =

1(0)₁₉₉9_<201>

= 27793 · 1619861 · 67747437129266000269703021_<26> · 400259908045666561971192213216134042261_<39> · 81912816932939583803515921686223425749837243002793830987141671128762200181930502382006509105387526239568992549021452850921893_<125> (Wojciech Florek / GMP-ECM 6.0.1 B1=50000, sigma=2754940480 for P26 / Jun 15, 2006) (Wataru Sakai / GMP-ECM 6.1 B1=11000000, sigma=3844765623 for P39 / Jul 11, 2006)

4. References

• A088275 (On-Line Encyclopedia of Integer Sequences)
• Numbers b^n +/- (b-1) (Wojciech Florek)