Factorizations of 800...009

Table of contents

1. About 800...009
   • First ten terms
   • General term
2. Prime numbers of the form 800...009
   • Last update
   • Searched up to
   • Difficulty of search
   • Results
3. Factorizations of 800...009
   • Last update
   • Completed up to
   • Range
   • Terms which have not been factored yet
   • Results
4. References

1. About 800...009

First ten terms

89, 809, 8009, 80009, 800009, 8000009, 80000009, 800000009, 8000000009, 80000000009

General term

8·10ⁿ+9

2. Prime numbers of the form 800...009

Last update

Aug 9, 2009

Searched up to

n≤10000

Difficulty of search

26.88%

Results

1. 8·10¹+9 = 89 is prime.
2. 8·10²+9 = 809 is prime.
3. 8·10³+9 = 8009 is prime.
4. 8·10⁶+9 = 8000009 is prime.
5. 8·10¹²+9 = 8(0)₁₁9_<13> is prime.
6. 8·10²⁰+9 = 8(0)₁₉9_<21> is prime.
7. 8·10²¹+9 = 8(0)₂₀9_<22> is prime.
8. 8·10³⁷+9 = 8(0)₃₆9_<38> is prime.
9. 8·10⁴²+9 = 8(0)₄₁9_<43> is prime.
10. 8·10⁵⁵+9 = 8(0)₅₄9_<56> is prime.
11. 8·10⁶⁰+9 = 8(0)₅₉9_<61> is prime.
12. 8·10⁹⁸+9 = 8(0)₉₇9_<99> is prime.
13. 8·10¹⁰⁰+9 = 8(0)₉₉9_<101> is prime. (Makoto Kamada / PPSIQS / Dec 6, 2004)
14. 8·10¹⁰⁴+9 = 8(0)₁₀₃9_<105> is prime. (searched by Makoto Kamada / Dec 6, 2004) (certified by Makoto Kamada / PFGW / Jan 5, 2005)
15. 8·10²²³+9 = 8(0)₂₂₂9_<224> is prime. (searched by Makoto Kamada / Dec 6, 2004) (certified by Makoto Kamada / PFGW / Jan 5, 2005)
16. 8·10²³⁷+9 = 8(0)₂₃₆9_<238> is prime. (searched by Makoto Kamada / Dec 6, 2004) (certified by Makoto Kamada / PFGW / Jan 5, 2005)
17. 8·10²⁶⁰+9 = 8(0)₂₅₉9_<261> is prime. (searched by Makoto Kamada / Dec 6, 2004) (certified by Makoto Kamada / PFGW / Jan 5, 2005)
18. 8·10⁵⁰¹+9 = 8(0)₅₀₀9_<502> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Makoto Kamada / PFGW / Jan 5, 2005)
19. 8·10⁵⁷⁰+9 = 8(0)₅₆₉9_<571> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Makoto Kamada / PFGW / Jan 5, 2005)
20. 8·10⁶⁰⁰+9 = 8(0)₅₉₉9_<601> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Makoto Kamada / PFGW / Jan 5, 2005)
21. 8·10⁶⁹⁸+9 = 8(0)₆₉₇9_<699> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Jun 1, 2006)
22. 8·10⁸⁸⁵⁷+9 = 8(0)₈₈₅₆9_<8858> is PRP. (Makoto Kamada / PFGW / Jan 2, 2005)

3. Factorizations of 800...009

Last update

Oct 22, 2009

Completed up to

• n≤100 / Dec 6, 2004
• n≤150 / Jan 19, 2008

Range

n≤200

Terms which have not been factored yet

n=178, 179, 191, 192, 193, 195, 196 (7/200)

Results

8·10¹+9 =

89

= definitely prime number

8·10²+9 =

809

= definitely prime number

8·10³+9 =

8009

= definitely prime number

8·10⁴+9 =

80009

= 19 · 4211

8·10⁵+9 =

800009

= 7 · 23 · 4969

8·10⁶+9 =

8000009

= definitely prime number

8·10⁷+9 =

80000009

= 29 · 181 · 15241

8·10⁸+9 =

800000009

= 15299 · 52291

8·10⁹+9 =

8000000009_<10>

= 103 · 77669903

8·10¹⁰+9 =

80000000009_<11>

= 1249 · 1571 · 40771

8·10¹¹+9 =

800000000009_<12>

= 7 · 43 · 281 · 9458389

8·10¹²+9 =

8000000000009_<13>

= definitely prime number

8·10¹³+9 =

80000000000009_<14>

= 4349 · 18395033341_<11>

8·10¹⁴+9 =

800000000000009_<15>

= 87427 · 9150491267_<10>

8·10¹⁵+9 =

8000000000000009_<16>

= 47 · 67 · 107 · 42683 · 556261

8·10¹⁶+9 =

80000000000000009_<17>

= 17 · 971 · 36299 · 133514113

8·10¹⁷+9 =

800000000000000009_<18>

= 7 · 9794467 · 11668395461_<11>

8·10¹⁸+9 =

8000000000000000009_<19>

= 59 · 135593220338983051_<18>

8·10¹⁹+9 =

80000000000000000009_<20>

= 179989 · 444471606598181_<15>

8·10²⁰+9 =

800000000000000000009_<21>

= definitely prime number

8·10²¹+9 =

8000000000000000000009_<22>

= definitely prime number

8·10²²+9 =

80000000000000000000009_<23>

= 19 · 4201 · 1002267630514038011_<19>

8·10²³+9 =

800000000000000000000009_<24>

= 7 · 1141241 · 21511949 · 4655162243_<10>

8·10²⁴+9 =

8000000000000000000000009_<25>

= 17681 · 7113134851_<10> · 63609520339_<11>

8·10²⁵+9 =

80000000000000000000000009_<26>

= 229 · 349344978165938864628821_<24>

8·10²⁶+9 =

800000000000000000000000009_<27>

= 3309041 · 241761888111993777049_<21>

8·10²⁷+9 =

8000000000000000000000000009_<28>

= 23 · 83 · 31012471823_<11> · 135128724030187_<15>

8·10²⁸+9 =

80000000000000000000000000009_<29>

= 1697 · 114713 · 410956171673262658769_<21>

8·10²⁹+9 =

800000000000000000000000000009_<30>

= 7 · 1649705786423_<13> · 69276422030085769_<17>

8·10³⁰+9 =

8000000000000000000000000000009_<31>

= 46704648643_<11> · 171289159268710698563_<21>

8·10³¹+9 =

80000000000000000000000000000009_<32>

= 139131947 · 574993750356990260475547_<24>

8·10³²+9 =

800000000000000000000000000000009_<33>

= 17 · 43 · 9241 · 5521473833_<10> · 21448583772694763_<17>

8·10³³+9 =

8000000000000000000000000000000009_<34>

= 61 · 787 · 3375221 · 49372282483177977572947_<23>

8·10³⁴+9 =

80000000000000000000000000000000009_<35>

= 64864965563_<11> · 1233331418673152930661643_<25>

8·10³⁵+9 =

800000000000000000000000000000000009_<36>

= 7 · 29 · 33149 · 118884029669292864417073708247_<30>

8·10³⁶+9 =

8000000000000000000000000000000000009_<37>

= 23209 · 344693868757809470464044120815201_<33>

8·10³⁷+9 =

80000000000000000000000000000000000009_<38>

= definitely prime number

8·10³⁸+9 =

800000000000000000000000000000000000009_<39>

= 467 · 659 · 2402177 · 1708219657_<10> · 633488845598343577_<18>

8·10³⁹+9 =

8000000000000000000000000000000000000009_<40>

= 281 · 1621 · 640009 · 41979101 · 653704443842705715401_<21>

8·10⁴⁰+9 =

80000000000000000000000000000000000000009_<41>

= 19 · 1979 · 9547 · 21961 · 12350258161_<11> · 821666387711990707_<18>

8·10⁴¹+9 =

800000000000000000000000000000000000000009_<42>

= 7² · 94907 · 536267 · 320785396043173450958826771089_<30>

8·10⁴²+9 =

8000000000000000000000000000000000000000009_<43>

= definitely prime number

8·10⁴³+9 =

80000000000000000000000000000000000000000009_<44>

= 103 · 2769787 · 14999161 · 18695600658630129597481288229_<29>

8·10⁴⁴+9 =

800000000000000000000000000000000000000000009_<45>

= 16411124027_<11> · 48747422704491148015135282847862667_<35>

8·10⁴⁵+9 =

8000000000000000000000000000000000000000000009_<46>

= 89 · 89887640449438202247191011235955056179775281_<44>

8·10⁴⁶+9 =

80000000000000000000000000000000000000000000009_<47>

= 883 · 7883 · 26833 · 36203507 · 13373620155283_<14> · 884644740743297_<15>

8·10⁴⁷+9 =

800000000000000000000000000000000000000000000009_<48>

= 7 · 109 · 1048492791612057667103538663171690694626474443_<46>

8·10⁴⁸+9 =

8000000000000000000000000000000000000000000000009_<49>

= 17 · 67 · 6896204160779_<13> · 15826404526806353_<17> · 64353754661101513_<17>

8·10⁴⁹+9 =

80000000000000000000000000000000000000000000000009_<50>

= 23 · 347 · 3663755209_<10> · 2735937847569708552076854414629531621_<37>

8·10⁵⁰+9 =

800000000000000000000000000000000000000000000000009_<51>

= 593 · 57493690383153019_<17> · 23464705494759199762755708318427_<32>

8·10⁵¹+9 =

8000000000000000000000000000000000000000000000000009_<52>

= 1021 · 161492621449_<12> · 48518968641063740609940065918345528021_<38>

8·10⁵²+9 =

80000000000000000000000000000000000000000000000000009_<53>

= 1291 · 42312553 · 1464517328457659216762948789723742912490883_<43>

8·10⁵³+9 =

800000000000000000000000000000000000000000000000000009_<54>

= 7 · 43 · 132547 · 2761585807_<10> · 1632044746856723_<16> · 4449005932754767674427_<22>

8·10⁵⁴+9 =

8000000000000000000000000000000000000000000000000000009_<55>

= 193 · 58411 · 4901392633_<10> · 144783323906052206079728815302390046451_<39>

8·10⁵⁵+9 =

80000000000000000000000000000000000000000000000000000009_<56>

= definitely prime number

8·10⁵⁶+9 =

800000000000000000000000000000000000000000000000000000009_<57>

= 77801 · 22745209 · 35863735587456723491_<20> · 12605478966889714222011011_<26>

8·10⁵⁷+9 =

8000000000000000000000000000000000000000000000000000000009_<58>

= 1307 · 7783228826728800543247_<22> · 786420091835356878224229391392421_<33>

8·10⁵⁸+9 =

80000000000000000000000000000000000000000000000000000000009_<59>

= 19 · 113 · 163 · 18795713 · 557223887212474051819_<21> · 21826384801279223060330627_<26>

8·10⁵⁹+9 =

800000000000000000000000000000000000000000000000000000000009_<60>

= 7 · 3047962268015449_<16> · 37495777255840692530338184431492145723309063_<44>

8·10⁶⁰+9 =

8000000000000000000000000000000000000000000000000000000000009_<61>

= definitely prime number

8·10⁶¹+9 =

80000000000000000000000000000000000000000000000000000000000009_<62>

= 47 · 24623 · 64806809 · 4432020701_<10> · 240673761620221523603054530469495145221_<39>

8·10⁶²+9 =

800000000000000000000000000000000000000000000000000000000000009_<63>

= 257 · 3112840466926070038910505836575875486381322957198443579766537_<61>

8·10⁶³+9 =

8000000000000000000000000000000000000000000000000000000000000009_<64>

= 29 · 45641 · 9770143 · 39637688810676125341_<20> · 15607293365345357129379978702887_<32>

8·10⁶⁴+9 =

80000000000000000000000000000000000000000000000000000000000000009_<65>

= 17 · 17099 · 626947 · 367629955083599531_<18> · 1194066828105233314985958772772952139_<37>

8·10⁶⁵+9 =

800000000000000000000000000000000000000000000000000000000000000009_<66>

= 7 · 58049 · 96696537180983_<14> · 20360398908127029575633689283605788478753756361_<47>

8·10⁶⁶+9 =

8000000000000000000000000000000000000000000000000000000000000000009_<67>

= 643 · 460989309877618137688867995353_<30> · 26989084909696898765035658837040571_<35> (Makoto Kamada / msieve 0.81 / 45 seconds)

8·10⁶⁷+9 =

80000000000000000000000000000000000000000000000000000000000000000009_<68>

= 281 · 3347 · 412201 · 206356861337498973579391787560490189588781455748286982387_<57>

8·10⁶⁸+9 =

800000000000000000000000000000000000000000000000000000000000000000009_<69>

= 83 · 107 · 131 · 24119681 · 27984917156969099_<17> · 1018735020709277613957868020342820198201_<40>

8·10⁶⁹+9 =

8000000000000000000000000000000000000000000000000000000000000000000009_<70>

= 1787 · 244442761 · 274172226301_<12> · 4354699959045631521349_<22> · 15339335916668207656713763_<26>

8·10⁷⁰+9 =

80000000000000000000000000000000000000000000000000000000000000000000009_<71>

= 313 · 423796739 · 11175202735292329_<17> · 86955523850308077227_<20> · 620633840941868836400489_<24>

8·10⁷¹+9 =

800000000000000000000000000000000000000000000000000000000000000000000009_<72>

= 7 · 23 · 29530701390613207663_<20> · 168263666807397202077998630365541979672303536439463_<51>

8·10⁷²+9 =

8000000000000000000000000000000000000000000000000000000000000000000000009_<73>

= 307 · 41491 · 58187068627020551565620030129_<29> · 10793722059181020019089978512840633233_<38>

8·10⁷³+9 =

80000000000000000000000000000000000000000000000000000000000000000000000009_<74>

= 547 · 146252285191956124314442413162705667276051188299817184643510054844606947_<72>

8·10⁷⁴+9 =

800000000000000000000000000000000000000000000000000000000000000000000000009_<75>

= 43 · 18604651162790697674418604651162790697674418604651162790697674418604651163_<74>

8·10⁷⁵+9 =

8000000000000000000000000000000000000000000000000000000000000000000000000009_<76>

= 2243 · 58169 · 61315336444110722100217050925920213096546584591285801536343128961627_<68>

8·10⁷⁶+9 =

80000000000000000000000000000000000000000000000000000000000000000000000000009_<77>

= 19 · 59 · 2777 · 25698542603525775798847227625162342512103210486804280220763330235588177_<71>

8·10⁷⁷+9 =

800000000000000000000000000000000000000000000000000000000000000000000000000009_<78>

= 7 · 103 · 28807 · 33547 · 54157420592381_<14> · 21200447559792061385992548548305073210570334277516321_<53>

8·10⁷⁸+9 =

8000000000000000000000000000000000000000000000000000000000000000000000000000009_<79>

= 2569509204317024048080109659048777_<34> · 3113435042987674863077695004448408426718580417_<46> (Makoto Kamada / GGNFS-0.70.1 / 0.11 hours)

8·10⁷⁹+9 =

80000000000000000000000000000000000000000000000000000000000000000000000000000009_<80>

= 283 · 69109 · 4090429790150214387094857629267679617291207973965641514630930490457359647_<73>

8·10⁸⁰+9 =

800000000000000000000000000000000000000000000000000000000000000000000000000000009_<81>

= 17 · 2089 · 5923 · 66263299111915502803081_<23> · 57396820895286367790009433124714885887818517296611_<50>

8·10⁸¹+9 =

8000000000000000000000000000000000000000000000000000000000000000000000000000000009_<82>

= 67 · 119402985074626865671641791044776119402985074626865671641791044776119402985074627_<81>

8·10⁸²+9 =

80000000000000000000000000000000000000000000000000000000000000000000000000000000009_<83>

= 97 · 9677924790041_<13> · 927247573678212338051_<21> · 91905246535217242008974209136125599933865211867_<47>

8·10⁸³+9 =

800000000000000000000000000000000000000000000000000000000000000000000000000000000009_<84>

= 7² · 881 · 573463594883_<12> · 1268427869473822788024475947167_<31> · 25476887542640341247194467235316523901_<38> (Makoto Kamada / msieve 0.81 / 1.8 minutes)

8·10⁸⁴+9 =

8000000000000000000000000000000000000000000000000000000000000000000000000000000000009_<85>

= 15187 · 38299 · 197569 · 3530563 · 303017243 · 65072943181149412306366233080396183385247809456482234233_<56>

8·10⁸⁵+9 =

80000000000000000000000000000000000000000000000000000000000000000000000000000000000009_<86>

= 4561 · 716063 · 1032881 · 20463535981553987931333665989_<29> · 1158904670245516073488434857232218162707307_<43>

8·10⁸⁶+9 =

800000000000000000000000000000000000000000000000000000000000000000000000000000000000009_<87>

= 3049 · 742357787 · 21510131384849_<14> · 16431462919693623138045644370052527020796478510434631722634307_<62>

8·10⁸⁷+9 =

8000000000000000000000000000000000000000000000000000000000000000000000000000000000000009_<88>

= 7349809 · 1403370310478305653008290798213057061_<37> · 775606873872654197928690034434567813621410341_<45> (Makoto Kamada / GGNFS-0.70.3 / 0.15 hours)

8·10⁸⁸+9 =

80000000000000000000000000000000000000000000000000000000000000000000000000000000000000009_<89>

= 57623273 · 1274643679984491297500607994656857_<34> · 1089189052229670980683952642822861583468074773769_<49> (Makoto Kamada / GGNFS-0.70.3 / 0.15 hours)

8·10⁸⁹+9 =

800000000000000000000000000000000000000000000000000000000000000000000000000000000000000009_<90>

= 7 · 89 · 4241045810220763_<16> · 36812927531102783_<17> · 8224862018021160235769579111013613308155015002124002427_<55>

8·10⁹⁰+9 =

8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009_<91>

= 14083153619_<11> · 470241828452729_<15> · 1208005225667448985939397598223949959591482312803746035746123701259_<67>

8·10⁹¹+9 =

80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009_<92>

= 29 · 10847 · 329341135169_<12> · 772211688246570589486178169548509530972732763437683999332961141307802601347_<75>

8·10⁹²+9 =

800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009_<93>

= 141554827 · 5651520452919630921522725607937057490805311782126652593768490847719378725248274295867_<85>

8·10⁹³+9 =

8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009_<94>

= 23 · 61 · 1481 · 20269 · 66222307 · 87090827 · 372663492506553572550555698800861_<33> · 88379464168044423546278721103437163_<35> (Makoto Kamada / msieve 0.81 / 1.9 minutes)

8·10⁹⁴+9 =

80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009_<95>

= 19 · 5003539 · 2924931924148891961_<19> · 287702300243348382825311232964367149316669779371535547591950703293609_<69>

8·10⁹⁵+9 =

800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009_<96>

= 7 · 43 · 281 · 701 · 30951948054062593376170255876789_<32> · 435924387164329767743036507138772994000848691533469803701_<57> (Makoto Kamada / GGNFS-0.71.4 / 0.33 hours)

8·10⁹⁶+9 =

8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009_<97>

= 17 · 161886908888610809_<18> · 304436655939137221942322295963257493673_<39> · 9548439312657203748551510632950329383961_<40> (Makoto Kamada / GGNFS-0.71.4 / 0.31 hours)

8·10⁹⁷+9 =

80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009_<98>

= 4201 · 19043084979766722208997857652939776243751487741014044275172577957629135920019043084979766722209_<95>

8·10⁹⁸+9 =

800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009_<99>

= definitely prime number

8·10⁹⁹+9 =

8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009_<100>

= 469649 · 23865623 · 22554687854161487_<17> · 909259427564533421572112683801_<30> · 34803199853815840641302860940252945842441_<41> (Makoto Kamada / msieve 0.83)

8·10¹⁰⁰+9 =

80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009_<101>

= definitely prime number

8·10¹⁰¹+9 =

8(0)₁₀₀9_<102>

= 7 · 149 · 487 · 941 · 8287 · 76346147 · 364439384627_<12> · 1361074913684407_<16> · 5333291197439114129508832175835592518590328200632104809_<55>

8·10¹⁰²+9 =

8(0)₁₀₁9_<103>

= 1797476095531930969_<19> · 1025449864861251092819651_<25> · 4340226870404998482546017714450915314158824225785096351190011_<61>

8·10¹⁰³+9 =

8(0)₁₀₂9_<104>

= 16829 · 101507309947_<12> · 615774578203_<12> · 76052343748605411280856605619513403568997745512065596011672356048977883354981_<77>

8·10¹⁰⁴+9 =

8(0)₁₀₃9_<105>

= definitely prime number

8·10¹⁰⁵+9 =

8(0)₁₀₄9_<106>

= 10607 · 1593335590601_<13> · 473358479210729823351520557012029207512118935876076983937545197630391879565240345481937487_<90>

8·10¹⁰⁶+9 =

8(0)₁₀₅9_<107>

= 7817 · 561624593 · 2080936219_<10> · 30634478921_<11> · 6630758324299_<13> · 6261321390749812400818033_<25> · 6885021419367412658060903003684364433_<37>

8·10¹⁰⁷+9 =

8(0)₁₀₆9_<108>

= 7 · 47 · 5987 · 300569 · 2464369 · 15629824663_<11> · 5903522259789205105450881268709_<31> · 5942505552902249507608316506415160671906673051809_<49> (Makoto Kamada / Msieve 1.33 for P31 x P49 / 14 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / Jan 16, 2008)

8·10¹⁰⁸+9 =

8(0)₁₀₇9_<109>

= 444401 · 1138433 · 42414187 · 162259171523_<12> · 7107371214632873_<16> · 323279438555074240003686735217056819291764874161668173375266801_<63>

8·10¹⁰⁹+9 =

8(0)₁₀₈9_<110>

= 83 · 223 · 409 · 32885650365304248277027303729_<29> · 321349248358889927171344597458044843571350263821450310799967017699489807941_<75>

8·10¹¹⁰+9 =

8(0)₁₀₉9_<111>

= 8179 · 97811468394669274972490524513999266413987039980437706321066145005501895097200146717202592003912458735786771_<107>

8·10¹¹¹+9 =

8(0)₁₁₀9_<112>

= 103 · 227 · 523 · 663763 · 109467672449_<12> · 341638038631061_<15> · 352330846847081_<15> · 1156997193104983_<16> · 5660849404803835943_<19> · 11420772954052473766626841_<26>

8·10¹¹²+9 =

8(0)₁₁₁9_<113>

= 17 · 19³ · 686088694115931837088239582171985283397511213262094457260962410915671123384475528073891752356285858854403403_<108>

8·10¹¹³+9 =

8(0)₁₁₂9_<114>

= 7 · 167 · 115903 · 5904468344436599948216336502204909304155674791537394175228693159519168734700553817727010404492467880079687_<106>

8·10¹¹⁴+9 =

8(0)₁₁₃9_<115>

= 67 · 1619 · 2131 · 654227059476304953156518569_<27> · 59812477060225038016402609603651763_<35> · 884432298709077437591050714383886146490310369_<45> (Makoto Kamada / Msieve 1.33 for P35 x P45 / 15 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / Jan 16, 2008)

8·10¹¹⁵+9 =

8(0)₁₁₄9_<116>

= 23 · 164754409 · 1219038421_<10> · 562467957547373531345562723972322221908786381_<45> · 30790016732270191561933012796406982113872329442024087_<53> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 0.61 hours on Core 2 Quad Q6600 / Jan 16, 2008)

8·10¹¹⁶+9 =

8(0)₁₁₅9_<117>

= 43 · 2731 · 4019 · 52816123 · 12084972759551561_<17> · 11886227219294900277209_<23> · 223421829034726678059787595903408308037489589932291251953847921_<63>

8·10¹¹⁷+9 =

8(0)₁₁₆9_<118>

= 570407 · 540758209 · 1090020499081_<13> · 8959752026870266003989106938343_<31> · 2655653222978175541447519201124671928388493948927052821291921_<61> (Sinkiti Sibata / Msieve v. 1.30 for P31 x P61 / 12.6 hours on Pentium3 750MHz, Windows Me / Jan 17, 2008)

8·10¹¹⁸+9 =

8(0)₁₁₇9_<119>

= 3923 · 867599584961_<12> · 33395249280707_<14> · 114858715720081_<15> · 32469888633351718442963_<23> · 188722160020038206522232923463908019428002098207050843_<54>

8·10¹¹⁹+9 =

8(0)₁₁₈9_<120>

= 7 · 29 · 14465304005221497427_<20> · 30410348961140592876766942703_<29> · 8958699720360463845716150863618753331482271338487833053726537641941463_<70>

8·10¹²⁰+9 =

8(0)₁₁₉9_<121>

= 4513 · 129802845572795609_<18> · 1186666704803556185013425171_<28> · 11508313470861399873651069777110269094750600309132327847624311334210422987_<74>

8·10¹²¹+9 =

8(0)₁₂₀9_<122>

= 107 · 17321 · 39837349575609258121788494808572654717964321457787972441_<56> · 1083534667380804556636556284146554026394969807509139591856667_<61> (Sinkiti Sibata / GGNFS-0.77.1-20060513-pentium4 snfs / 2.09 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Jan 17, 2008)

8·10¹²²+9 =

8(0)₁₂₁9_<123>

= 94291 · 128542241 · 66004550564547160260375655497679976030820711617686209181137104311790534903915264079379989614358981384439993939_<110>

8·10¹²³+9 =

8(0)₁₂₂9_<124>

= 281 · 1847789 · 87594212224781_<14> · 1787112760915200910007_<22> · 98424659857194915940422342879064966149733000138496990651664155068405048104815903_<80>

8·10¹²⁴+9 =

8(0)₁₂₃9_<125>

= 1579 · 418774289077175699561_<21> · 120983974316377323584631711224014036378910595643970137940894681709354721752613108717289873341099175011_<102>

8·10¹²⁵+9 =

8(0)₁₂₄9_<126>

= 7² · 33469 · 107687 · 1906621 · 2979407 · 3626501 · 219890205232072592446593237163885841336188475702436959073241875155709724565132477716281147966901_<96>

8·10¹²⁶+9 =

8(0)₁₂₅9_<127>

= 401 · 389297 · 232424285281_<12> · 9781973560753067_<16> · 2728784228720769076664362884053977424213249851_<46> · 8260139316381217641035166733618289230331842561_<46> (Sinkiti Sibata / Msieve v. 1.30 for P46 x P46 / 6.74 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Jan 17, 2008)

8·10¹²⁷+9 =

8(0)₁₂₆9_<128>

= 595961 · 134236971882388277085245511031762145509521596211832653479002820654371678683672253721300554902082518822540401133631227546769_<123>

8·10¹²⁸+9 =

8(0)₁₂₇9_<129>

= 17 · 47058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941177_<128>

8·10¹²⁹+9 =

8(0)₁₂₈9_<130>

= 34687 · 576227 · 31039762823_<11> · 12894700178823504949187763524490624731935971039051006872918781881555422921723812776002504208163826677571612667_<110>

8·10¹³⁰+9 =

8(0)₁₂₉9_<131>

= 19 · 25216160984200256827_<20> · 177844679544719357879627_<24> · 45569197585367765957599099_<26> · 20603697219057952184686365032752886363613940128976570662779041_<62>

8·10¹³¹+9 =

8(0)₁₃₀9_<132>

= 7 · 1901 · 116259161 · 86992144223_<11> · 16230203845269219667208170361_<29> · 320533644260071425417953654576232041_<36> · 1142628400174886692888574117774187454934002429_<46> (Makoto Kamada / Msieve 1.33 for P36 x P46 / 19 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / Jan 16, 2008)

8·10¹³²+9 =

8(0)₁₃₁9_<133>

= 1934489 · 9941255627_<10> · 415989607687626994379024208919654277878028055404905621947324703896224629797494192059360950252199449536431438674100403_<117>

8·10¹³³+9 =

8(0)₁₃₂9_<134>

= 89 · 683 · 48247 · 28063523 · 419570597518623739301843398921438222427110769704939738021_<57> · 2316656939278359599773662465108090166954145351342952510252907_<61> (Sinkiti Sibata / GGNFS-0.77.1-20060513-pentium4 snfs / 6.79 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Jan 17, 2008)

8·10¹³⁴+9 =

8(0)₁₃₃9_<135>

= 59 · 16301584241_<11> · 28571873631885209731492091721987844825451_<41> · 29111825682462786935908160354061235293752365551347558913693510861695423975494302961_<83> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 2.83 hours on Core 2 Quad Q6600 / Jan 17, 2008)

8·10¹³⁵+9 =

8(0)₁₃₄9_<136>

= 14801185105213067737040565827661608911957391220799504238072333395727_<68> · 540497260397233405983441758896201567297916533811770073388400426116967_<69> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / 3.58 hours on Cygwin on AMD 64 3200+ / Jan 19, 2008)

8·10¹³⁶+9 =

8(0)₁₃₅9_<137>

= 42379 · 1887727412161683852851648221996743670214021095353830906817055617168880813610514641685740579060383680596521862243092097501120838150971_<133>

8·10¹³⁷+9 =

8(0)₁₃₆9_<138>

= 7 · 23 · 43 · 380503 · 1649243 · 2510141 · 32927563 · 127389389 · 431974381 · 111174418969258896469_<21> · 37947353343130853705098428563822981_<35> · 9596604764068692453459531281727700969_<37> (Makoto Kamada / Msieve 1.33 for P35 x P37 / 3 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / Jan 16, 2008)

8·10¹³⁸+9 =

8(0)₁₃₇9_<139>

= 2546678620364651588556275988984437932502588301075923203_<55> · 3141346511502304521005861647877216134965756685545711187785868781031519564330138156803_<85> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / 3.84 hours on Cygwin on AMD 64 X2 6000+ / Jan 17, 2008)

8·10¹³⁹+9 =

8(0)₁₃₈9_<140>

= 163 · 3594343 · 102196891061_<12> · 72184529568704507_<17> · 18509771151205368273846244564703257984335172238825365225515524463829193697150899647161785603541663546563_<104>

8·10¹⁴⁰+9 =

8(0)₁₃₉9_<141>

= 26748433 · 953838796272576050827_<21> · 31355711451501286145053779659588086442446436410960279262292590035067875289508553179273502206721185655888267145099_<113>

8·10¹⁴¹+9 =

8(0)₁₄₀9_<142>

= 389 · 32563 · 4990867357422239873844609760866802279933879758965510129_<55> · 126543531026932811719775808439501974442746850624376305592456058350578392937456103_<81> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 6.10 hours on Core 2 Quad Q6600 / Jan 17, 2008)

8·10¹⁴²+9 =

8(0)₁₄₁9_<143>

= 3329 · 29281922233_<11> · 627552504355594804282068645958259_<33> · 1795510682849862934729054445135297_<34> · 728347356775380943407963675027056892979696390562810902400314219_<63> (Jo Yeong Uk / GMP-ECM 6.1.3 B1=1000000, sigma=2907880974 for P34 / Jan 16, 2008) (Jo Yeong Uk / Msieve v. 1.32 for P33 x P63 / 4.62 hours on Core 2 Quad Q6600 / Jan 18, 2008)

8·10¹⁴³+9 =

8(0)₁₄₂9_<144>

= 7 · 383 · 341296326661470018931101663238896398460963020877249035438454385737449_<69> · 874302175383230664843059392215687849285838943004522735011833597504969961_<72> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 7.48 hours on Core 2 Quad Q6600 / Jan 17, 2008)

8·10¹⁴⁴+9 =

8(0)₁₄₃9_<145>

= 17 · 5659 · 1783403562694297290006912071546504111216735779123_<49> · 46628531887385325172139496576332321929456019180371596843235469372553694072124836083262715161_<92> (Sinkiti Sibata / GGNFS-0.77.1-20060513-pentium4 snfs / 17.72 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Jan 18, 2008)

8·10¹⁴⁵+9 =

8(0)₁₄₄9_<146>

= 103 · 263 · 19637441 · 66333767 · 342200413447_<12> · 2824085392892504963662876213067_<31> · 2345951909900622249766133589882940685013030624484792070733666366296781514821463224827_<85> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=3142116591 for P31 / Jan 10, 2008)

8·10¹⁴⁶+9 =

8(0)₁₄₅9_<147>

= 12823817 · 7793404954409_<13> · 97339333989041_<14> · 1034297732722561_<16> · 269754004944570931_<18> · 294743059681425655969283413607905086921958749719672881702479468320196720584811763_<81>

8·10¹⁴⁷+9 =

8(0)₁₄₆9_<148>

= 29 · 67 · 367 · 3001 · 446447 · 374232083 · 2261489201544452814997994627_<28> · 9894177162514598079546385073110092760647751592920357286724133551767904127884385201353837797093807_<97>

8·10¹⁴⁸+9 =

8(0)₁₄₇9_<149>

= 19 · 23321975899_<11> · 6264335206024583575242105787_<28> · 28820137929138161280052635433696068751889719679695688629653783230633788507877847692016678795750468460331564747_<110>

8·10¹⁴⁹+9 =

8(0)₁₄₈9_<150>

= 7 · 122869 · 592463 · 20514356776409_<14> · 76529783665759227547879863175857801580145592186970477872758281314038502151477085534461711269605420792053370393025114611931269_<125>

8·10¹⁵⁰+9 =

8(0)₁₄₉9_<151>

= 83 · 499 · 2482304185177_<13> · 77813750743786303928117280787642992888695876575762740504349490131257779780805730683652263665564423971509372213489033589606739396053801_<134>

8·10¹⁵¹+9 =

8(0)₁₅₀9_<152>

= 281 · 284697508896797153024911032028469750889679715302491103202846975088967971530249110320284697508896797153024911032028469750889679715302491103202846975089_<150>

8·10¹⁵²+9 =

8(0)₁₅₁9_<153>

= 179 · 10286545550776463644634627_<26> · 434477611648684499985850664050081411437845728618159606645874026296642823905422801622721391632973272408528817371550125223113073_<126>

8·10¹⁵³+9 =

8(0)₁₅₂9_<154>

= 47 · 61 · 48895464172194500888865555728935598425504411122071941_<53> · 57068140361452359856128021667726448531461834024720351768797284045710734038067945628429182751862647_<98> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs, Msieve 1.33 / Jan 20, 2008)

8·10¹⁵⁴+9 =

8(0)₁₅₃9_<155>

= 40563621115070073380669170035211_<32> · 1972210512790699616561524977329804968488111698587183762968630675670612708240336060878219924495201162954628514414235940921019_<124> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=2632962093 for P32 / Jan 10, 2008)

8·10¹⁵⁵+9 =

8(0)₁₅₄9_<156>

= 7 · 109 · 1470783867357781_<16> · 10546742887006309_<17> · 364319543132632908029981_<24> · 21821922314714420047791463_<26> · 8502032459994415884303071967448325665776936089423978775226417138915563289_<73>

8·10¹⁵⁶+9 =

8(0)₁₅₅9_<157>

= 10267 · 53192891 · 14648489037119868817989444797313568211533852452691343823722793688789773824519265527846042207453436769844148769259855946967147098540481226063718097_<146>

8·10¹⁵⁷+9 =

8(0)₁₅₆9_<158>

= 11489 · 716402649541_<12> · 10593937852386983_<17> · 3790480017172792738294451504361484879367_<40> · 242046575091074164088712317063624793945838546238186463919115736744802008317537350438981_<87> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 22.81 hours on Core 2 Quad Q6600 / Jan 19, 2008)

8·10¹⁵⁸+9 =

8(0)₁₅₇9_<159>

= 43 · 133397260513579219_<18> · 167167903992258454388890478299_<30> · 2033479913775371639587434065835085127837961461819_<49> · 410281407262533748598335324491991573466072616789247908444678817_<63> (Jo Yeong Uk / GMP-ECM 6.1.3 B1=1000000, sigma=1484630729 for P30 / Jan 17, 2008) (Robert Backstrom / GGNFS-0.77.1-20050930-k8 gnfs for P49 x P63, Msieve 1.33 / Jan 20, 2008)

8·10¹⁵⁹+9 =

8(0)₁₅₈9_<160>

= 23 · 75289 · 3073981 · 912782811803_<12> · 106892778448396257701_<21> · 15403294683357107492284292972438681857771414432918182754479601358964133084092682488569350637536794203521767133005829_<116>

8·10¹⁶⁰+9 =

8(0)₁₅₉9_<161>

= 17 · 4705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941177_<160>

8·10¹⁶¹+9 =

8(0)₁₆₀9_<162>

= 7 · 361469 · 2281823 · 93410043703_<11> · 104070924106063664505185233829029_<33> · 379610134970967214429953242481364208742167_<42> · 37547251435502570973405299828344898136743364461002377728913347569_<65> (Jo Yeong Uk / GMP-ECM 6.1.3 B1=1000000, sigma=897222511 for P33 / Jan 17, 2008) (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona gnfs for P42 x P65 / 10.59 hours on Core 2 Quad Q6600 / Jan 19, 2008)

8·10¹⁶²+9 =

8(0)₁₆₁9_<163>

= 4339 · 31891930524271969_<17> · 21467718354271832026587974954408013867919721_<44> · 2692983165965493372324419233124120624401536996288557907855362716504013533241417008457888322335917819_<100> (Robert Backstrom / GGNFS-0.77.1-20050930-k8 snfs, Msieve 1.33 / Jan 20, 2008)

8·10¹⁶³+9 =

8(0)₁₆₂9_<164>

= 503 · 1087 · 399924341 · 29222738487023707_<17> · 36035228405537339175432279337085862878520760605668457943_<56> · 347429290363042316932943294898674175631435388823749992448700892981477531332209_<78> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs, Msieve 1.34 / Apr 10, 2008)

8·10¹⁶⁴+9 =

8(0)₁₆₃9_<165>

= 547 · 145375908511929289_<18> · 665862476027077901987_<21> · 15108650584694095421336839101744907722955551986198408204720288516498163374331216992376317984676111223948581486828821510198329_<125>

8·10¹⁶⁵+9 =

8(0)₁₆₄9_<166>

= 3089 · 314438682222884322729688296198134025767975025422514323112159291576842309_<72> · 8236374989606056257892776904055137083699957579463131990199160763315628777145426750588217509_<91> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs, Msieve 1.33 / Jan 20, 2008)

8·10¹⁶⁶+9 =

8(0)₁₆₅9_<167>

= 19 · 233 · 247318002448511232349795071846013961161_<39> · 73067581878550869883137762289663789192178328142338528983715149951558468070091483340423029109213779504121706037391601196627747_<125> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs, Msieve 1.33 / Jan 25, 2008)

8·10¹⁶⁷+9 =

8(0)₁₆₆9_<168>

= 7² · 967 · 59723 · 85525507 · 104791781467_<12> · 32070636141063417698309974804038142769_<38> · 983547553579979304561951273616176372155814093748174239324385537878449421978287184323475247763731622141_<102> (Robert Backstrom / GMP-ECM 6.0 B1=4262000, sigma=1855270650 for P38 / Apr 16, 2008)

8·10¹⁶⁸+9 =

8(0)₁₆₇9_<169>

= 13523 · 365108141391685392803_<21> · 3925702274486438236222373323_<28> · 412741427767146656482060605643146065993784214777445361386847613635487121913351520321871886583067352379474102886920307_<117>

8·10¹⁶⁹+9 =

8(0)₁₆₈9_<170>

= 2083 · 21187 · 347913094655913140947256232930961_<33> · 5210272953749998271101503426402444733270293388626467088714412188109283843702487962421130258535164821785639637952029491481694049489_<130> (Robert Backstrom / GMP-ECM 6.2.1 B1=792000, sigma=246426398 for P33 / Jun 20, 2008)

8·10¹⁷⁰+9 =

8(0)₁₆₉9_<171>

= 113 · 452926193 · 3182006963_<10> · 3558984497657_<13> · 3739349584888004768232061820906349177229967138340283_<52> · 369114253681640613419529242815258516418059888685901830643751071825955380199942725832817_<87> (Wataru Sakai / Msieve / 70.90 hours / Jun 11, 2009)

8·10¹⁷¹+9 =

8(0)₁₇₀9_<172>

= 1609 · 47441 · 179947 · 2675683 · 717143003 · 8834088052212443456467_<22> · 113402724882979773257549023_<27> · 66045585799722886585090670007395970328026662921_<47> · 4587394211090038825215575348339222477208606014167_<49> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon gnfs for P47 x P49 / 4.94 hours on Cygwin on AMD 64 X2 6000+ / Jan 17, 2008)

8·10¹⁷²+9 =

8(0)₁₇₁9_<173>

= 4201 · 31121 · 5041411 · 346459071611_<12> · 122454245483536330061045540807347553945459_<42> · 608296663654957875693373827303732266946233_<42> · 4703167420425903988646488862192041281322859917358747628829697267_<64> (Jo Yeong Uk / GMP-ECM 6.2.1 B1=3000000, sigma=2462122556 for P42, GGNFS-0.77.1-20050930-nocona gnfs for P42 x P64 / 7.72 hours on Core 2 Quad Q6700 / Nov 19, 2008)

8·10¹⁷³+9 =

8(0)₁₇₂9_<174>

= 7 · 643 · 661 · 443227 · 260680181687_<12> · 8189545458237210393744457523666003154315736867_<46> · 4183880356288717606362756534826033091154894241628947_<52> · 67921338602004285032869683860445350931844687971789469_<53> (Wataru Sakai / Msieve / 100.92 hours / Oct 8, 2009)

8·10¹⁷⁴+9 =

8(0)₁₇₃9_<175>

= 107 · 878011819 · 5486878492542635057_<19> · 15519599315742890524424924611307277485313260541377213615503272288516557671053444128075729565367482316113010438811763463229080260479799829964497889_<146>

8·10¹⁷⁵+9 =

8(0)₁₇₄9_<176>

= 29 · 9907 · 828349 · 149397358667_<12> · 3432767866354222343_<19> · 75056191036086198203_<20> · 266890443093272218468549330943_<30> · 32721226544458263861906681169586495852149103259513363783751003948859549712960564477403_<86> (Jo Yeong Uk / GMP-ECM 6.1.3 B1=1000000, sigma=2573028571 for P30 / Jan 16, 2008)

8·10¹⁷⁶+9 =

8(0)₁₇₅9_<177>

= 17 · 3217 · 103961611179868503438377681867481435196874462689578948106251372965474787726477889_<81> · 140707421063833161706485449146184930821888979205845979668829757316153913675077037413502917929_<93> (matsui / GGNFS-0.77.1-20060513-pentium4 snfs / Feb 24, 2008)

8·10¹⁷⁷+9 =

8(0)₁₇₆9_<178>

= 89 · 89887640449438202247191011235955056179775280898876404494382022471910112359550561797752808988764044943820224719101123595505617977528089887640449438202247191011235955056179775281_<176>

8·10¹⁷⁸+9 =

8(0)₁₇₇9_<179>

= 97 · 4817 · 8349953 · [20504896215355928137965373704973143395538922435527758817785496493959608475116921355207651357092841575421079161851043173594993003469841120923142091661496820268074980697_<167>] SUBMIT/RESERVE

8·10¹⁷⁹+9 =

8(0)₁₇₈9_<180>

= 7 · 43 · 103 · 281 · 64874204399140027_<17> · [1415493573554482587871785831847594919119247908687541708933328969812940358294294326735636448567265214269702647086321705872950802915434596491130909251193416569_<157>] SUBMIT/RESERVE

8·10¹⁸⁰+9 =

8(0)₁₇₉9_<181>

= 67 · 86841941731033_<14> · 5751212540972257_<16> · 239070638384079464305466092471025322060071531552167545678913212961798899107584106689129062608889974510490101143409045500133259615588677789072157093467_<150>

8·10¹⁸¹+9 =

8(0)₁₈₀9_<182>

= 23 · 3478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434783_<181>

8·10¹⁸²+9 =

8(0)₁₈₁9_<183>

= 181628417 · 4404597106630070998196278944610302913117389554741315616927939200174827268356360778060406703869472143227455426206792299467103762733339243935600672002773662889987088308984160777_<175>

8·10¹⁸³+9 =

8(0)₁₈₂9_<184>

= 1709 · 1235389 · 53996821 · 912256291892709420829481_<24> · 2078200117056154131058483_<25> · 37014490001362985704295939467561832570982470665215294205702264521205912573311818585632408541503114700987023171504597223_<119>

8·10¹⁸⁴+9 =

8(0)₁₈₃9_<185>

= 19 · 4502146292418701187836585771_<28> · 935226454742198158831789694095815568184377471382396693364340767699219936355705178940216380025951801759748479274447141979232563950450419757911310397828855641_<156>

8·10¹⁸⁵+9 =

8(0)₁₈₄9_<186>

= 7 · 24329 · 53381 · 25502165263849_<14> · 11958203612381011725704592874030579567_<38> · 1303028394848660857467715486468010946754987_<43> · 221454293090384742218717863326746087344454398748013997486958446978047338608032823703_<84> (Jo Yeong Uk / GMP-ECM 6.2.1 B1=3000000, sigma=927156312 for P43 / Nov 18, 2008) (Serge Batalov / Msieve-1.38+pol51 gnfs for P38 x P84 / 70.00 hours on Opteron-2.6GHz; Linux x86_64 / Nov 28, 2008)

8·10¹⁸⁶+9 =

8(0)₁₈₅9_<187>

= 50153 · 302299 · 1722241 · 11771231219249_<14> · 468906861490212793165420171_<27> · 55507792726914566497798504244765417670582545786727387225014401377586633446438223809853812791819939065204663497110847337090122841673_<131>

8·10¹⁸⁷+9 =

8(0)₁₈₆9_<188>

= 181 · 441988950276243093922651933701657458563535911602209944751381215469613259668508287292817679558011049723756906077348066298342541436464088397790055248618784530386740331491712707182320441989_<186>

8·10¹⁸⁸+9 =

8(0)₁₈₇9_<189>

= 443 · 280009 · 46738919942089_<14> · 1186986927040459_<16> · 1443968284072142039096537_<25> · 80506696766249900552485161273132377878249301551978500401524539107690180714415943050142655051843089545519564016550793067276582361_<128>

8·10¹⁸⁹+9 =

8(0)₁₈₈9_<190>

= 2543 · 137944789 · 32904674261_<11> · 6409379328215201885827901_<25> · 75125429721777718514365695923_<29> · 5312784824487735277961519362969_<31> · 270929041462985763172625031527468593947500499762685217039308716400013884113298635281_<84> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=708702101 for P31 / Jan 15, 2008)

8·10¹⁹⁰+9 =

8(0)₁₈₉9_<191>

= 10979 · 93384737 · 1829065993_<10> · 33295915167128085016755403_<26> · 538680813586121424240758361537710132899_<39> · 6350022202664860146059913355300429133521100785097_<49> · 374562434586295016714727912805051180637746786286264130259_<57> (Jo Yeong Uk / GMP-ECM 6.2.1 B1=3000000, sigma=329758939 for P39, GGNFS-0.77.1-20050930-nocona gnfs for P49 x P57 / 8.41 hours, 8.41 hours on Core 2 Quad Q6700 / Dec 11, 2008)

8·10¹⁹¹+9 =

8(0)₁₉₀9_<192>

= 7 · 83 · 32815576605582649_<17> · 5200740096042613643_<19> · [8068051545891094511578479700823384394584768631450390852593942134609561393701118548374424516117929869950068836225453848430310390267238081742813962168542327_<154>] SUBMIT/RESERVE

8·10¹⁹²+9 =

8(0)₁₉₁9_<193>

= 17 · 59 · 255560483051_<12> · [31210113901116496190059985531041602975379344293978514166894009734705527928978397661114322922874799360536757139908352850981558850793591256286177115409819215244907441950295241382353_<179>] SUBMIT/RESERVE

8·10¹⁹³+9 =

8(0)₁₉₂9_<194>

= 56569 · 65022989 · [21749263554136100543387610629817550376863625386837037939139612924587722216787820750108106569775981104166959783796781140803427641380217823609695398210457031000585586966984267770649749_<182>] SUBMIT/RESERVE

8·10¹⁹⁴+9 =

8(0)₁₉₃9_<195>

= 36288787236817_<14> · 1733287778383420857881_<22> · 4640813787596588296684196149207787_<34> · 2740644562907019485541894329504307053275818363204588691032659775150280382696305597977509234141114088628824622335852067596963491_<127> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=636370792 for P34 / Nov 6, 2008)

8·10¹⁹⁵+9 =

8(0)₁₉₄9_<196>

= 727 · 39461 · 3393105024121_<13> · [82184551070809001593097046469258474974045157610650887799287801522783019674463835505638949175776431921373326567851260576229312266996468771180522288103817253454147342122647650507_<176>] SUBMIT/RESERVE

8·10¹⁹⁶+9 =

8(0)₁₉₅9_<197>

= 491 · 24378181914136070883131_<23> · 1608217088942848772529667_<25> · [4155875309349698676972742050348235793071578516401734367543983032713103888383436309991840583688225894483651426003183699967227677779086222799374298187_<148>] SUBMIT/RESERVE

8·10¹⁹⁷+9 =

8(0)₁₉₆9_<198>

= 7 · 12219247 · 15213705288655807_<17> · 4865154059575323971503_<22> · 37114608851460783280897610347_<29> · 16621692800680584305294747562998773325126469691178650296201467_<62> · 204831038833285778102275560455244890057538477743970633200511049_<63> (Tyler Cadigan / GGNFS gnfs, Msieve for P62 x P63 / 81.57 hours on C2Q Q660 2.4 Ghz, 4 GB RAM, Windows Vista / Jun 2, 2008)

8·10¹⁹⁸+9 =

8(0)₁₉₇9_<199>

= 131 · 14779577 · 46164732442019_<14> · 89504807737012816465501621504961017111653905292881275753399321462371170990355484423739181105724254078782548384128641434162117806977859235261476637210465344401589470702839661353_<176>

8·10¹⁹⁹+9 =

8(0)₁₉₈9_<200>

= 47 · 10029840581_<11> · 34574850197219026620537581_<26> · 4908375636455220759055677921494644701510929631554628307158601099794397912071382010172519640742111531902047338075363097067968113058601380373184350807396468927516327_<163>

8·10²⁰⁰+9 =

8(0)₁₉₉9_<201>

= 43 · 409695657661963_<15> · 22793391171990396467_<20> · 1992283906237365201538932207676295118684402950955556269932521925276598386991605490564720907345426515529769955531939362161987484955156634153382402844597947890557157003_<166>

4. References

• A103070 (On-Line Encyclopedia of Integer Sequences)