Factorizations of 799...991

Table of contents

1. About 799...991
   • First ten terms
   • General term
2. Prime numbers of the form 799...991
   • Last update
   • Searched up to
   • Difficulty of search
   • Results
3. Factorizations of 799...991
   • Last update
   • Completed up to
   • Range
   • Terms which have not been factored yet
   • Results
4. References

1. About 799...991

First ten terms

71, 791, 7991, 79991, 799991, 7999991, 79999991, 799999991, 7999999991, 79999999991

General term

8·10ⁿ-9

2. Prime numbers of the form 799...991

Last update

Aug 9, 2009

Searched up to

n≤20000

Difficulty of search

21.51%

Results

1. 8·10¹-9 = 71 is prime.
2. 8·10⁵-9 = 799991 is prime.
3. 8·10¹¹-9 = 7(9)₁₀1_<12> is prime.
4. 8·10¹²-9 = 7(9)₁₁1_<13> is prime.
5. 8·10¹⁷-9 = 7(9)₁₆1_<18> is prime.
6. 8·10²⁸-9 = 7(9)₂₇1_<29> is prime.
7. 8·10⁴⁶-9 = 7(9)₄₅1_<47> is prime.
8. 8·10⁴⁸-9 = 7(9)₄₇1_<49> is prime.
9. 8·10⁶¹-9 = 7(9)₆₀1_<62> is prime.
10. 8·10⁷³-9 = 7(9)₇₂1_<74> is prime.
11. 8·10¹³⁸-9 = 7(9)₁₃₇1_<139> is prime. (searched by Makoto Kamada / Nov 29, 2004) (certified by Makoto Kamada / PFGW / Jan 5, 2005)
12. 8·10¹⁷⁸-9 = 7(9)₁₇₇1_<179> is prime. (searched by Makoto Kamada / Nov 29, 2004) (certified by Makoto Kamada / PFGW / Jan 5, 2005)
13. 8·10²¹³-9 = 7(9)₂₁₂1_<214> is prime. (searched by Makoto Kamada / Nov 29, 2004) (certified by Makoto Kamada / PFGW / Jan 5, 2005)
14. 8·10⁴⁰⁵-9 = 7(9)₄₀₄1_<406> is prime. (searched by Makoto Kamada / PFGW / Dec 23, 2004) (certified by Makoto Kamada / PFGW / Jan 5, 2005)
15. 8·10⁷⁶²-9 = 7(9)₇₆₁1_<763> is prime. (searched by Makoto Kamada / PFGW / Dec 23, 2004) (certified by Makoto Kamada / PFGW / Jan 5, 2005)
16. 8·10¹⁰⁵³-9 = 7(9)₁₀₅₂1_<1054> is prime. (searched by Makoto Kamada / PFGW / Dec 23, 2004) (certified by Makoto Kamada / PFGW / Jan 5, 2005)
17. 8·10¹¹⁵⁷-9 = 7(9)₁₁₅₆1_<1158> is prime. (searched by Makoto Kamada / PFGW / Dec 23, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Sep 13, 2006)
18. 8·10¹⁴²⁷-9 = 7(9)₁₄₂₆1_<1428> is prime. (searched by Makoto Kamada / PFGW / Dec 23, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Sep 8, 2006)
19. 8·10²⁸⁶⁵-9 = 7(9)₂₈₆₄1_<2866> is prime. (searched by Makoto Kamada / PFGW / Dec 23, 2004) (certified by Sinkiti Sibata / PRIMO 3.0.4 / Jan 19, 2008)
20. 8·10³¹⁴⁸-9 = 7(9)₃₁₄₇1_<3149> is PRP. (Makoto Kamada / PFGW / Dec 23, 2004)
21. 8·10³⁶¹⁵-9 = 7(9)₃₆₁₄1_<3616> is PRP. (Makoto Kamada / PFGW / Dec 23, 2004)
22. 8·10¹³⁴⁴⁷-9 = 7(9)₁₃₄₄₆1_<13448> is PRP. (Sinkiti Sibata / PFGW / Jan 20, 2008)

3. Factorizations of 799...991

Last update

Oct 21, 2009

Completed up to

• n≤100 / Nov 29, 2004
• n≤150 / Jan 15, 2008

Range

n≤200

Terms which have not been factored yet

n=177, 186, 188, 189, 191, 196, 197 (7/200)

Results

8·10¹-9 =

71

= definitely prime number

8·10²-9 =

791

= 7 · 113

8·10³-9 =

7991

= 61 · 131

8·10⁴-9 =

79991

= 41 · 1951

8·10⁵-9 =

799991

= definitely prime number

8·10⁶-9 =

7999991

= 967 · 8273

8·10⁷-9 =

79999991

= 409 · 195599

8·10⁸-9 =

799999991

= 7 · 17 · 6722689

8·10⁹-9 =

7999999991_<10>

= 41 · 195121951

8·10¹⁰-9 =

79999999991_<11>

= 31 · 2580645161_<10>

8·10¹¹-9 =

799999999991_<12>

= definitely prime number

8·10¹²-9 =

7999999999991_<13>

= definitely prime number

8·10¹³-9 =

79999999999991_<14>

= 19 · 4289 · 981703501

8·10¹⁴-9 =

799999999999991_<15>

= 7 · 41 · 263 · 311 · 34079401

8·10¹⁵-9 =

7999999999999991_<16>

= 1675799 · 4773842209_<10>

8·10¹⁶-9 =

79999999999999991_<17>

= 23 · 2287 · 124897 · 12177103

8·10¹⁷-9 =

799999999999999991_<18>

= definitely prime number

8·10¹⁸-9 =

7999999999999999991_<19>

= 1097 · 7292616226071103_<16>

8·10¹⁹-9 =

79999999999999999991_<20>

= 41 · 1669 · 1169094974352979_<16>

8·10²⁰-9 =

799999999999999999991_<21>

= 7² · 21503 · 759267572536153_<15>

8·10²¹-9 =

7999999999999999999991_<22>

= 29 · 3659 · 5851 · 45949 · 280429319

8·10²²-9 =

79999999999999999999991_<23>

= 631 · 761 · 5643857 · 29518886393_<11>

8·10²³-9 =

799999999999999999999991_<24>

= 89² · 1449911 · 69657619550161_<14>

8·10²⁴-9 =

7999999999999999999999991_<25>

= 17 · 41 · 4793 · 2394692642695992871_<19>

8·10²⁵-9 =

79999999999999999999999991_<26>

= 31 · 281 · 5279 · 9539 · 182375906036101_<15>

8·10²⁶-9 =

799999999999999999999999991_<27>

= 7 · 103 · 401 · 647 · 6143 · 696186429775951_<15>

8·10²⁷-9 =

7999999999999999999999999991_<28>

= 149 · 934484521 · 57455499755447779_<17>

8·10²⁸-9 =

79999999999999999999999999991_<29>

= definitely prime number

8·10²⁹-9 =

799999999999999999999999999991_<30>

= 41 · 19512195121951219512195121951_<29>

8·10³⁰-9 =

7999999999999999999999999999991_<31>

= 167 · 47904191616766467065868263473_<29>

8·10³¹-9 =

79999999999999999999999999999991_<32>

= 19 · 359 · 811 · 14461757779657404573639361_<26>

8·10³²-9 =

799999999999999999999999999999991_<33>

= 7 · 750784839958567_<15> · 152221659526344839_<18>

8·10³³-9 =

7999999999999999999999999999999991_<34>

= 26821 · 10457101841_<11> · 28523557029547616731_<20>

8·10³⁴-9 =

79999999999999999999999999999999991_<35>

= 41 · 97 · 20115665074176514961025898918783_<32>

8·10³⁵-9 =

799999999999999999999999999999999991_<36>

= 67880932826929_<14> · 11785341872653708269479_<23>

8·10³⁶-9 =

7999999999999999999999999999999999991_<37>

= 71 · 151 · 746199048596213039828374218822871_<33>

8·10³⁷-9 =

79999999999999999999999999999999999991_<38>

= 2239 · 35730236712818222420723537293434569_<35>

8·10³⁸-9 =

799999999999999999999999999999999999991_<39>

= 7 · 23 · 47 · 594023 · 177976635383481354116836429951_<30>

8·10³⁹-9 =

7999999999999999999999999999999999999991_<40>

= 41 · 419 · 547529 · 850520881595797450276840512301_<30>

8·10⁴⁰-9 =

79999999999999999999999999999999999999991_<41>

= 17 · 31 · 190529 · 11358097 · 11009437207_<11> · 6371586620636063_<16>

8·10⁴¹-9 =

799999999999999999999999999999999999999991_<42>

= 27249245278861_<14> · 35397567456959_<14> · 829396294603309_<15>

8·10⁴²-9 =

7999999999999999999999999999999999999999991_<43>

= 62355420289_<11> · 128296785795400446426778473830519_<33>

8·10⁴³-9 =

79999999999999999999999999999999999999999991_<44>

= 27479 · 2911314094399359510899232140907602168929_<40>

8·10⁴⁴-9 =

799999999999999999999999999999999999999999991_<45>

= 7 · 41 · 117161489 · 23791575796659867978333882574698137_<35>

8·10⁴⁵-9 =

7999999999999999999999999999999999999999999991_<46>

= 8831 · 246941 · 5574659 · 47097319 · 13972444945424990795401_<23>

8·10⁴⁶-9 =

79999999999999999999999999999999999999999999991_<47>

= definitely prime number

8·10⁴⁷-9 =

799999999999999999999999999999999999999999999991_<48>

= 59 · 5801 · 1112821 · 405526799 · 844624751 · 6132342937092969881_<19>

8·10⁴⁸-9 =

7999999999999999999999999999999999999999999999991_<49>

= definitely prime number

8·10⁴⁹-9 =

79999999999999999999999999999999999999999999999991_<50>

= 19 · 29 · 41 · 34428131 · 30558252794071_<14> · 3365988015361238290310101_<25>

8·10⁵⁰-9 =

799999999999999999999999999999999999999999999999991_<51>

= 7 · 233 · 97241 · 2658539176833697_<16> · 1897332932889844300996750193_<28>

8·10⁵¹-9 =

7999999999999999999999999999999999999999999999999991_<52>

= 48221 · 26677546787920154045429_<23> · 6218818534577130616030199_<25>

8·10⁵²-9 =

79999999999999999999999999999999999999999999999999991_<53>

= 337 · 203969 · 2289289183_<10> · 3178323848335799_<16> · 159954740879521114991_<21>

8·10⁵³-9 =

799999999999999999999999999999999999999999999999999991_<54>

= 281 · 6011 · 8437955501_<10> · 321736062761_<12> · 174461645974232174414899241_<27>

8·10⁵⁴-9 =

7999999999999999999999999999999999999999999999999999991_<55>

= 41 · 439 · 370009 · 4083097 · 124387346130881_<15> · 2365175778566451733599593_<25>

8·10⁵⁵-9 =

79999999999999999999999999999999999999999999999999999991_<56>

= 31 · 463181 · 1285396974161_<13> · 1013264190720409_<16> · 4277771563314497600069_<22>

8·10⁵⁶-9 =

799999999999999999999999999999999999999999999999999999991_<57>

= 7 · 17 · 123669018721_<12> · 54360333292502183505219244380113912722610209_<44>

8·10⁵⁷-9 =

7999999999999999999999999999999999999999999999999999999991_<58>

= 911101 · 551882813827062449307119_<24> · 15910234977365532901871647789_<29>

8·10⁵⁸-9 =

79999999999999999999999999999999999999999999999999999999991_<59>

= 333730871 · 1565783633701658213991193_<25> · 153095299166497563176949097_<27>

8·10⁵⁹-9 =

799999999999999999999999999999999999999999999999999999999991_<60>

= 41 · 4651 · 59281 · 216829 · 326382528666337693827299007147935099725975249_<45>

8·10⁶⁰-9 =

7999999999999999999999999999999999999999999999999999999999991_<61>

= 23 · 103 · 70777087 · 163759903 · 4035985489551607103_<19> · 72189672813064424616233_<23>

8·10⁶¹-9 =

79999999999999999999999999999999999999999999999999999999999991_<62>

= definitely prime number

8·10⁶²-9 =

799999999999999999999999999999999999999999999999999999999999991_<63>

= 7³ · 199 · 11989727 · 971207539674582700991_<21> · 1006517779281554641726959085559_<31>

8·10⁶³-9 =

7999999999999999999999999999999999999999999999999999999999999991_<64>

= 61 · 179 · 661 · 1871760833268196608149_<22> · 592182141415822078693178687948812601_<36>

8·10⁶⁴-9 =

79999999999999999999999999999999999999999999999999999999999999991_<65>

= 41 · 20919785872470060025360820966977_<32> · 93271485859847177417170026791263_<32> (Makoto Kamada / msieve 0.81 / 44 seconds)

8·10⁶⁵-9 =

799999999999999999999999999999999999999999999999999999999999999991_<66>

= 66644880098786039_<17> · 12003922864204722219976697486636863671956327424769_<50>

8·10⁶⁶-9 =

7999999999999999999999999999999999999999999999999999999999999999991_<67>

= 33777704057965423_<17> · 236842622170865054103044684831127931485869669658617_<51>

8·10⁶⁷-9 =

79999999999999999999999999999999999999999999999999999999999999999991_<68>

= 19 · 89 · 727720664593370519_<18> · 65010225418715864344106284159765521018650193779_<47>

8·10⁶⁸-9 =

799999999999999999999999999999999999999999999999999999999999999999991_<69>

= 7 · 770690898889_<12> · 148289949252630878778974321104809666834951929676795041417_<57>

8·10⁶⁹-9 =

7999999999999999999999999999999999999999999999999999999999999999999991_<70>

= 41 · 3259481 · 939902008319_<12> · 3608971856869_<13> · 290614655588953079_<18> · 60725918399552760659_<20>

8·10⁷⁰-9 =

79999999999999999999999999999999999999999999999999999999999999999999991_<71>

= 31 · 1151 · 106024454208401_<15> · 21146910345096644999228598470944171893279394404875111_<53>

8·10⁷¹-9 =

799999999999999999999999999999999999999999999999999999999999999999999991_<72>

= 71 · 10729 · 3621851 · 28894794847199_<14> · 10035111396951100345999007745790481780041022101_<47>

8·10⁷²-9 =

7999999999999999999999999999999999999999999999999999999999999999999999991_<73>

= 17² · 391273 · 70747689975168179861003251590361642470234479157319312367473547903_<65>

8·10⁷³-9 =

79999999999999999999999999999999999999999999999999999999999999999999999991_<74>

= definitely prime number

8·10⁷⁴-9 =

799999999999999999999999999999999999999999999999999999999999999999999999991_<75>

= 7 · 41 · 26962625044119759366833_<23> · 103382235276863139833918318517928986627005732022521_<51>

8·10⁷⁵-9 =

7999999999999999999999999999999999999999999999999999999999999999999999999991_<76>

= 6306961 · 563587711760553941_<18> · 2250651882793755714334856008817847409708892401539691_<52>

8·10⁷⁶-9 =

79999999999999999999999999999999999999999999999999999999999999999999999999991_<77>

= 886868023 · 90205078912851952042925331630769598736564211426078218179256644593217_<68>

8·10⁷⁷-9 =

799999999999999999999999999999999999999999999999999999999999999999999999999991_<78>

= 29 · 320941 · 1248721 · 68833740816123924171951117799540680787757002604451811504337865439_<65>

8·10⁷⁸-9 =

7999999999999999999999999999999999999999999999999999999999999999999999999999991_<79>

= 549874015052564724254396210642322507913_<39> · 14548787142151547233300156646070128174207_<41> (Makoto Kamada / GGNFS-0.70.1 / 0.06 hours)

8·10⁷⁹-9 =

79999999999999999999999999999999999999999999999999999999999999999999999999999991_<80>

= 41 · 3265631 · 27965002730233229_<17> · 144230033847648137089_<21> · 148138672560012127132811640310939141_<36>

8·10⁸⁰-9 =

799999999999999999999999999999999999999999999999999999999999999999999999999999991_<81>

= 7 · 152729 · 140451137 · 175680383 · 3516616465807_<13> · 137769557177099770217_<21> · 62595576288885612734971553_<26>

8·10⁸¹-9 =

7999999999999999999999999999999999999999999999999999999999999999999999999999999991_<82>

= 281 · 599 · 1879 · 2951188939_<10> · 8571030688695841716198860742889417003443178176564851093752902269_<64>

8·10⁸²-9 =

79999999999999999999999999999999999999999999999999999999999999999999999999999999991_<83>

= 23 · 2729 · 21943 · 3705521 · 721209405157286611950819481_<27> · 21734615003010862251049972897803349868311_<41>

8·10⁸³-9 =

799999999999999999999999999999999999999999999999999999999999999999999999999999999991_<84>

= 17479720834139_<14> · 106592318311181_<15> · 1518615850072269680457701_<25> · 282736357314082634224042281970549_<33>

8·10⁸⁴-9 =

7999999999999999999999999999999999999999999999999999999999999999999999999999999999991_<85>

= 41 · 47 · 743 · 7687 · 726879762394621211801391909089571161326438709545182340258424983318202584513_<75>

8·10⁸⁵-9 =

79999999999999999999999999999999999999999999999999999999999999999999999999999999999991_<86>

= 19 · 31 · 831191 · 9266189641_<10> · 5278434208099237339320904563821_<31> · 3340931437534264759700107191327783569_<37> (Makoto Kamada / msieve 0.81 / 1.3 minutes)

8·10⁸⁶-9 =

799999999999999999999999999999999999999999999999999999999999999999999999999999999999991_<87>

= 7 · 13371286561_<11> · 31383767836172558959_<20> · 272341401630430485534738797795860281929962816838801664287_<57>

8·10⁸⁷-9 =

7999999999999999999999999999999999999999999999999999999999999999999999999999999999999991_<88>

= 320497711 · 620807981 · 1246611371500128661_<19> · 32253487377531502986851358726659894965202028002674441_<53>

8·10⁸⁸-9 =

79999999999999999999999999999999999999999999999999999999999999999999999999999999999999991_<89>

= 17 · 3361 · 5209 · 114031 · 7176344935019271474213060241_<28> · 328467161637485477643402556200157335015038739937_<48>

8·10⁸⁹-9 =

799999999999999999999999999999999999999999999999999999999999999999999999999999999999999991_<90>

= 41 · 131501 · 148380583584544752604125610841130578437593259515229504885523452385876319961213315451_<84>

8·10⁹⁰-9 =

7999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991_<91>

= 191 · 396887 · 1566996511_<10> · 1829684258089_<13> · 36808283463413323401114896495621325375167752741758226649480537_<62>

8·10⁹¹-9 =

79999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991_<92>

= 5261 · 31189 · 51479210339_<11> · 14856858480653089_<17> · 637472378808260277486500944606583265307060061109032280749_<57>

8·10⁹²-9 =

799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991_<93>

= 7 · 1308863 · 1396657 · 62518419992876019825917869749138387550201480930570359069179266062109072179074143_<80>

8·10⁹³-9 =

7999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991_<94>

= 40709 · 18874781380531563299_<20> · 1050305013776143544881251969047909_<34> · 9912933300716956352196073332931121989_<37> (Makoto Kamada / msieve 0.83)

8·10⁹⁴-9 =

79999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991_<95>

= 41 · 103 · 109609 · 172831416755703831564705877752575524590824483351211195115269124861877722563349071196513_<87>

8·10⁹⁵-9 =

799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991_<96>

= 42839 · 5696681 · 71959379 · 10430065508761_<14> · 81962564607799_<14> · 53289148392320131181336208217453853689614795752029_<50>

8·10⁹⁶-9 =

7999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991_<97>

= 3847 · 28727057 · 157923959 · 458383146858058083640569189274783699802299405974652739034285101997489595090631_<78>

8·10⁹⁷-9 =

79999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991_<98>

= 181 · 441988950276243093922651933701657458563535911602209944751381215469613259668508287292817679558011_<96>

8·10⁹⁸-9 =

799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991_<99>

= 7 · 42473 · 1795039 · 288190519 · 5201462017139773407532948000368590335525019793021247677164543946625822841735041_<79>

8·10⁹⁹-9 =

7999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991_<100>

= 41² · 252400679 · 357291259901_<12> · 52772705784956691325475970159058388447295718892389579642066632828255512523509_<77>

8·10¹⁰⁰-9 =

79999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991_<101>

= 31 · 148513 · 12661801 · 199640305759_<12> · 6874167530995116418962276664987443820628599521956149749350162344306288430783_<76>

8·10¹⁰¹-9 =

7(9)₁₀₀1_<102>

= 109 · 7339449541284403669724770642201834862385321100917431192660550458715596330275229357798165137614678899_<100>

8·10¹⁰²-9 =

7(9)₁₀₁1_<103>

= 49474853752019561_<17> · 161698305165246504829176369287613785871274807254827355179107196688724463197592027937631_<87>

8·10¹⁰³-9 =

7(9)₁₀₂1_<104>

= 19 · 809 · 1081922211214987353245001119627142180481_<40> · 4810517819513914829026450136873524978585031656841214920313541_<61> (Makoto Kamada / GGNFS-0.77.1-20060722-pentium4 snfs / 0.68 hours on Pentium 4 3.06GHz, Windows XP and Cygwin / Jan 12, 2008)

8·10¹⁰⁴-9 =

7(9)₁₀₃1_<105>

= 7² · 17 · 23 · 41 · 12339525360577763311_<20> · 82534369499492775539504164901993157698019211796802044264858135701867736475272599_<80>

8·10¹⁰⁵-9 =

7(9)₁₀₄1_<106>

= 29 · 59 · 839 · 3833339 · 21150143453099_<14> · 35078619954211_<14> · 1959498667062999031926704741614139593738179779293723784466025712749_<67>

8·10¹⁰⁶-9 =

7(9)₁₀₅1_<107>

= 71 · 14635097 · 2507524927653294391235106031_<28> · 30703704237119309157206525676455637656338375135978941052412088778620503_<71>

8·10¹⁰⁷-9 =

7(9)₁₀₆1_<108>

= 19227376621_<11> · 253197206069634762046679_<24> · 164327801377612366280851970862226784680540787850498357916385079147268929349_<75>

8·10¹⁰⁸-9 =

7(9)₁₀₇1_<109>

= 11897 · 6595030913_<10> · 74285794073_<11> · 10784808302586663079660355798191_<32> · 127267493166302734542256662357223329760676931011149417_<54> (Robert Backstrom / GMP-ECM 6.0.1 B1=894000, sigma=353689614 for P32 / Jan 12, 2008)

8·10¹⁰⁹-9 =

7(9)₁₀₈1_<110>

= 41 · 281 · 3739 · 662762029 · 302221898661149_<15> · 9271730439680033210909506370965412733241317224833674180076775917438590150778909_<79>

8·10¹¹⁰-9 =

7(9)₁₀₉1_<111>

= 7 · 431 · 13855092257_<11> · 9998334610991140900879_<22> · 1914157140475983078381850722025574846690912817235800539519111123350958670641_<76>

8·10¹¹¹-9 =

7(9)₁₁₀1_<112>

= 89 · 151 · 5879 · 183965453731_<12> · 14732146478761_<14> · 4596843431298289_<16> · 59666213875095059_<17> · 136216298961351150346613817476555834066220530671_<48>

8·10¹¹²-9 =

7(9)₁₁₁1_<113>

= 1481801 · 12879455609353_<14> · 100082971494652293793_<21> · 48579937690634404245880879_<26> · 862155200536747669407680255056557135875893230601_<48>

8·10¹¹³-9 =

7(9)₁₁₂1_<114>

= 60281424871_<11> · 390808792124933992905008532836460473489137122991_<48> · 33958003771356934218524016876132944905551552683170456031_<56> (Sinkiti Sibata / GGNFS-0.77.1-20060513-pentium4 snfs / 1.88 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Jan 12, 2008)

8·10¹¹⁴-9 =

7(9)₁₁₃1_<115>

= 41 · 113 · 1249 · 181457 · 8379447418092713_<16> · 106724771260208334463_<21> · 337024070459655651343248393473_<30> · 25278423742542254086178637648393531097_<38> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=3473905617 for P30 / Jan 5, 2008)

8·10¹¹⁵-9 =

7(9)₁₁₄1_<116>

= 31 · 1952641829846445891880391633628571_<34> · 183792537662905341244235989253778248189_<39> · 7190810275475399982758739592384651846401319_<43> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 1.28 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Jan 12, 2008)

8·10¹¹⁶-9 =

7(9)₁₁₅1_<117>

= 7 · 601 · 2399 · 17618927 · 4498914823027589954502177767264828194440402177682568398889575566184859392258189367911634448562824481481_<103>

8·10¹¹⁷-9 =

7(9)₁₁₆1_<118>

= 372829 · 673801 · 946886201 · 23054579733001_<14> · 1203266767824644239_<19> · 1212360365626907637766017430542379738743344113366637302699512357061_<67>

8·10¹¹⁸-9 =

7(9)₁₁₇1_<119>

= 929 · 86114101184068891280947255113024757804090419806243272335844994617868675995694294940796555435952637244348762109795479_<116>

8·10¹¹⁹-9 =

7(9)₁₁₈1_<120>

= 41 · 269 · 318811 · 3667183621_<10> · 62042301017400996603275075014367355962058187966895330526278921138045829639685408286473804485966277709_<101>

8·10¹²⁰-9 =

7(9)₁₁₉1_<121>

= 17 · 140980436176722049147831_<24> · 201912898514421863519033_<24> · 16531724244739797677094769294070330025691469189992376341763977264010111801_<74>

8·10¹²¹-9 =

7(9)₁₂₀1_<122>

= 19 · 16931 · 66190937999157259563309327452865130078561271454954931_<53> · 3757121508638448333172650338258137145904700516674921367147594549_<64> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 2.07 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Jan 12, 2008)

8·10¹²²-9 =

7(9)₁₂₁1_<123>

= 7 · 433 · 479 · 79629799 · 65511205542191_<14> · 105627579118010198961241542572400153835355663333650886864897190806568868681245992047348899374951_<96>

8·10¹²³-9 =

7(9)₁₂₂1_<124>

= 61 · 1531 · 24997684759_<11> · 3426771721360181654428953629771676679324560568343517918235996281132700620340567184773687381191136855559393039_<109>

8·10¹²⁴-9 =

7(9)₁₂₃1_<125>

= 41 · 471528184675037636079943_<24> · 4138076101516266611399553899059299501642320547257280706598333192612670982383463605435787583592516457_<100>

8·10¹²⁵-9 =

7(9)₁₂₄1_<126>

= 226832719 · 3526828067515251183847071021531069333961473168251357953347109505838088551942984909509461022684298026688116364729552089_<118>

8·10¹²⁶-9 =

7(9)₁₂₅1_<127>

= 23 · 217581248286592871920703441696601910487_<39> · 1598603233024812172766526043763336942138049668499189186436388071437141249364595430510791_<88> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 1.48 hours on Core 2 Quad Q6600 / Jan 12, 2008)

8·10¹²⁷-9 =

7(9)₁₂₆1_<128>

= 379 · 162668538905134917251_<21> · 657946460633670262464217847012752777057361_<42> · 1972225892515966800861803327069244574222166958428213389132029239_<64> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 3.10 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Jan 13, 2008)

8·10¹²⁸-9 =

7(9)₁₂₇1_<129>

= 7 · 103 · 404614087 · 2742292167422427287690729889200973292113433766197069877178938634243448046654360596538083213446535921526403923849564033_<118>

8·10¹²⁹-9 =

7(9)₁₂₈1_<130>

= 41 · 12539 · 4536100568863046394901_<22> · 3430524720802701163401847697876439169825244483784746397694403874743878437063770501147648944784823642809_<103>

8·10¹³⁰-9 =

7(9)₁₂₉1_<131>

= 31 · 47 · 97 · 16230463228990793_<17> · 34876089691677833342903508989503146475849040917539833934310381258702986387517749678035697172214214885763853903_<110>

8·10¹³¹-9 =

7(9)₁₃₀1_<132>

= 41191035001_<11> · 151997412884823871_<18> · 17395137635564948101611492468769441_<35> · 7345531358476291840454011461466485796613423585618958953378377111100081_<70> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=1735415070 for P35 / Jan 5, 2008)

8·10¹³²-9 =

7(9)₁₃₁1_<133>

= 569 · 183377 · 3598279 · 2772456103_<10> · 1215962505406241644361_<22> · 6320525105922331840657645991538739365276883820530221672189240436176226633667347386033751_<88>

8·10¹³³-9 =

7(9)₁₃₂1_<134>

= 29 · 131 · 821 · 134230471 · 3084425618477467829_<19> · 61951542000835037581279737010663806153811192081745810634853918906334299802153961473899362472992866831_<101>

8·10¹³⁴-9 =

7(9)₁₃₃1_<135>

= 7 · 41 · 2991559 · 51611423 · 547886259883585498357025117689672145168225517346471_<51> · 32951430664648770389924301340174201074562936491053050907418208102919_<68> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 5.77 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Jan 13, 2008)

8·10¹³⁵-9 =

7(9)₁₃₄1_<136>

= 2242280133867389847297408619_<28> · 3567796850700335413658530902418118705283912299168086494635422463658210156038995743562306889260792981443809189_<109>

8·10¹³⁶-9 =

7(9)₁₃₅1_<137>

= 17 · 4337 · 31319 · 22064536663081199635553_<23> · 414874359200499062591640749476962066365515367_<45> · 3784707754227857968375340111961975566863294728841184192955991_<61> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 3.02 hours on Core 2 Quad Q6600 / Jan 13, 2008)

8·10¹³⁷-9 =

7(9)₁₃₆1_<138>

= 281 · 45259 · 6783449 · 146011951 · 9029523373784041010808525557981_<31> · 1221423363891302373996983840134301_<34> · 5758491037866755216905701730446521364185825908289891_<52> (Jo Yeong Uk / GMP-ECM 6.1.3 B1=1000000, sigma=4274360394 for P31, Msieve v. 1.28 for P34 x P52 / 25.3 minutes on Core 2 Quad Q6600 / Jan 12, 2008)

8·10¹³⁸-9 =

7(9)₁₃₇1_<139>

= definitely prime number

8·10¹³⁹-9 =

7(9)₁₃₈1_<140>

= 19 · 41 · 229 · 15695249 · 24527989 · 110631601 · 10529498738541754816202736159753808310781106211950284172182702169963716947647307740186077642356246030618409273341_<113>

8·10¹⁴⁰-9 =

7(9)₁₃₉1_<141>

= 7 · 2445390769_<10> · 37242387217387908233_<20> · 388536296915994985391902206726511_<33> · 3229792119842628898676018383831983166364802105671842667810158223564146032892279_<79> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 5.41 hours on Core 2 Quad Q6600 / Jan 13, 2008)

8·10¹⁴¹-9 =

7(9)₁₄₀1_<142>

= 71 · 18461264067532624519_<20> · 6103377099523147226220507515885566424858188379663517431659052822574508103751414373958897894353550287072113312752076445159_<121>

8·10¹⁴²-9 =

7(9)₁₄₁1_<143>

= 9137 · 618833 · 1079521573057_<13> · 13106344268257660385799848873815145070735015267291497911795837660217251149657750668426132396884498862251018484795471198903_<122>

8·10¹⁴³-9 =

7(9)₁₄₂1_<144>

= 1931 · 57197513924989_<14> · 152883219893830842959_<21> · 47377347201491538911343208462784817336284594135413608953377398657081612022941678337443698538488935259754311_<107>

8·10¹⁴⁴-9 =

7(9)₁₄₃1_<145>

= 41 · 356977 · 12418519760749442070754470311_<29> · 1202396689032442891861982410658929_<34> · 36605664115474603832272688375093831327326195191011201019483886504026399481577_<77> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 15.54 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Jan 14, 2008)

8·10¹⁴⁵-9 =

7(9)₁₄₄1_<146>

= 31 · 3769 · 7489 · 279971682391_<12> · 7742337301078104200488978966281420202696958368400348371_<55> · 42178597070720342821424007221144098406947930977765023595765919575211661_<71> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 13.98 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Jan 14, 2008)

8·10¹⁴⁶-9 =

7(9)₁₄₅1_<147>

= 7² · 74209 · 233102762089_<12> · 458430639997432973730641_<24> · 2237064275354436560413927703682193_<34> · 920317772467855578861737276438457302528107277025704935144084694913195343_<72> (Jo Yeong Uk / GMP-ECM 6.1.3 B1=1000000, sigma=930593696 for P34 / Jan 12, 2008)

8·10¹⁴⁷-9 =

7(9)₁₄₆1_<148>

= 71569 · 15914071 · 77519441 · 211293311 · 3128994342837361_<16> · 757574316234139695166249827153995203794288161_<45> · 180907822053975968030490364262581021587417735195779858011279_<60> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 21.13 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Jan 13, 2008)

8·10¹⁴⁸-9 =

7(9)₁₄₇1_<149>

= 23 · 2351 · 5417 · 18204143 · 1811121196799_<13> · 1947542272318766199929_<22> · 1698869895271211983854184427647893889_<37> · 2503720935946036989300856832502895816091759303149812092199359903_<64> (Sinkiti Sibata / Msieve v. 1.30 for P37 x P64 / 11.01 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Jan 14, 2008)

8·10¹⁴⁹-9 =

7(9)₁₄₈1_<150>

= 41 · 387128561 · 506448962913497763293952892565556348977959_<42> · 51909484898783796991431617515193618122604873161_<47> · 1917204817158045773364919500838723218822870408926609_<52> (Robert Backstrom / GGNFS-0.77.1-20060513-athlon-xp snfs, Msieve 1.32 / Jan 15, 2008)

8·10¹⁵⁰-9 =

7(9)₁₄₉1_<151>

= 193 · 247601 · 3624571477934606884159_<22> · 96315157891755373030439425392135709447474977307786081_<53> · 479544565961051555887991852543525630193846540227492360552478340319353_<69> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 11.20 hours on Core 2 Quad Q6600 / Jan 13, 2008)

8·10¹⁵¹-9 =

7(9)₁₅₀1_<152>

= 81001 · 1259231 · 1739471 · 87802863301_<11> · 30791592289433442832144020953926711999042958399_<47> · 166777008939323811795992782279128050360042974145183252503836734575392545775709_<78> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 21.10 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Jan 15, 2008)

8·10¹⁵²-9 =

7(9)₁₅₁1_<153>

= 7 · 17 · 4660787009_<10> · 138804112174759_<15> · 8716632273706955002066316578892953673433856501001_<49> · 1192154963555103648416832707448716501053570407831671868210179818737805091325919_<79> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 25.77 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Jan 15, 2008)

8·10¹⁵³-9 =

7(9)₁₅₂1_<154>

= 1399 · 1140091 · 5015713889921615670987135108295711210577412813759259823678007710091441235411108841619002499536502581664115297358770395081557354259801198205019699_<145>

8·10¹⁵⁴-9 =

7(9)₁₅₃1_<155>

= 41 · 59281 · 547957391 · 12119965852433_<14> · 461939553236586484114536733702650233023_<39> · 10728951295727690102209746621884683736435695534177888595486933153914001471840926288450159_<89> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 18.01 hours on Core 2 Quad Q6600 / Jan 14, 2008)

8·10¹⁵⁵-9 =

7(9)₁₅₄1_<156>

= 89 · 39076948619_<11> · 17285468921447286611_<20> · 630937457078491523522125157973689_<33> · 21091713323420107009957029361942912268853049172167108976864637180884556752573488461477765719_<92> (Robert Backstrom / GMP-ECM 6.0 B1=1358000, sigma=3048894762 for P33 / Jan 14, 2008)

8·10¹⁵⁶-9 =

7(9)₁₅₅1_<157>

= 13001 · 1295988165151587695336675852925431_<34> · 474801621105532083834700125189778681342962201400810891482867919304452802278015894667986382020302929101025045361916944761_<120> (Robert Backstrom / GMP-ECM 6.0.1 B1=2822000, sigma=3560430649 for P34 / Jan 16, 2008)

8·10¹⁵⁷-9 =

7(9)₁₅₆1_<158>

= 19 · 2099 · 7229 · 18859 · 603401 · 56949044155789_<14> · 428188103946864618973346395991416136526087129783255206465681135573022188697491171059758709198279405275825079559867921294146909_<126>

8·10¹⁵⁸-9 =

7(9)₁₅₇1_<159>

= 7 · 4323841 · 4714903 · 462997341128773543_<18> · 410562561244534563981430142949031_<33> · 46763860302718914140271163284841847599644741791_<47> · 630639651843465146374746113429199687582690077977_<48> (Jo Yeong Uk / GMP-ECM 6.1.3 B1=1000000, sigma=2488992415 for P33 / Jan 13, 2008) (Jo Yeong Uk / Msieve v. 1.32 for P47 x P48 / 3.43 hours on Core 2 Quad Q6600 / Jan 14, 2008)

8·10¹⁵⁹-9 =

7(9)₁₅₈1_<160>

= 41 · 819895751 · 144046589869251451_<18> · 1652131125410027750230091445891361988713569097781279733909762092164628552597079591796479256940617241534675316425849653189664647062251_<133>

8·10¹⁶⁰-9 =

7(9)₁₅₉1_<161>

= 31 · 57073 · 162324131850327948485434438093621716953_<39> · 278557273407351934069599866763595027872975703442508848781459154897177077473859196381772941462840739464361826004563169_<117> (Robert Backstrom / GMP-ECM 6.0 B1=460000, sigma=2066832104 for P39 / Jan 14, 2008)

8·10¹⁶¹-9 =

7(9)₁₆₀1_<162>

= 29 · 199 · 571 · 1692365724601_<13> · 428383815004193749871857607077279_<33> · 334869450332200636093078292799339933789697545275221769023019937305594987180395275406031737563279818152065360169_<111> (Jo Yeong Uk / GMP-ECM 6.1.3 B1=1000000, sigma=4020806271 for P33 / Jan 13, 2008)

8·10¹⁶²-9 =

7(9)₁₆₁1_<163>

= 103 · 885679 · 27972713 · 20174793473_<11> · 128513348641_<12> · 6739247979073_<13> · 1849901488629672000658219697_<28> · 29004454390043890346738171836159_<32> · 3343949795648324158059774855467139266458728235931156713_<55> (Sinkiti Sibata / Msieve v. 1.30 for P32 x P55 / 5.81 hours on Pentium3 750MHz, Windows Me / Jan 13, 2008)

8·10¹⁶³-9 =

7(9)₁₆₂1_<164>

= 59 · 1871 · 56422890657214170461_<20> · 542641511977858280491601_<24> · 875566100557163004027901_<24> · 27033787953781187764242225330412868305230762710162197083926926782390962622491739968985386579_<92>

8·10¹⁶⁴-9 =

7(9)₁₆₃1_<165>

= 7 · 41 · 1143403361_<10> · 261891714717420247_<18> · 11046278788929908087_<20> · 308636832720759777975330569373913552783_<39> · 2730380120299666574824672795496309223735144601900062623583012669777090797192599_<79> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona gnfs for P39 x P79 / 32.49 hours on Core 2 Quad Q6600 / Jan 16, 2008)

8·10¹⁶⁵-9 =

7(9)₁₆₄1_<166>

= 281 · 18039899370116253132365185259_<29> · 1578154639645101849715900601142746848194561974023738373087552898239995805944710078341227436286841880064814566233260954631456666425083629_<136> (Robert Backstrom / GMP-ECM 6.0 B1=508000, sigma=1694339146 for P29 / Jan 14, 2008)

8·10¹⁶⁶-9 =

7(9)₁₆₅1_<167>

= 1039921 · 76928920562235015929094613917787985818153494351974813471407924255784814423403316213443136545949163446069461045598656051757777754271718717094856243887756858453671_<161>

8·10¹⁶⁷-9 =

7(9)₁₆₆1_<168>

= 2371 · 3152099 · 68098319 · 39805790809_<11> · 328122692405400099376586451015551_<33> · 120348219501465859000916415860703533989146155732677824787903392809000729377628019185401396804542816303837799_<108> (Robert Backstrom / GMP-ECM 6.0 B1=726000, sigma=2355788295 for P33 / Feb 9, 2008)

8·10¹⁶⁸-9 =

7(9)₁₆₇1_<169>

= 17 · 168837552669242694718423_<24> · 11681215841603794478271720614912632360063687_<44> · 238607433000818367820061770438598453100921190268658947143978441159074725390668672932146359772318330023_<102> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs, Msieve 1.36 / 43.83 hours on Cygwin on AMD 64 X2 6000+ / Jul 21, 2008)

8·10¹⁶⁹-9 =

7(9)₁₆₈1_<170>

= 41 · 311 · 6744493062860975247569_<22> · 153259559622294960992443672324849_<33> · 4793749476605961545931498988840397341_<37> · 1266174380191027066904884727886512981316500532551514322249230638281825634221_<76> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=2143804591 for P33 / Jan 10, 2008) (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 146.83 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Jan 19, 2008)

8·10¹⁷⁰-9 =

7(9)₁₆₉1_<171>

= 7 · 23 · 26017 · 2214715267511_<13> · 86236077562737196330146826425772970067888786441365007847722264766881105680234692955925454854605262572454517069721363351702050706318228050577829986173313_<152>

8·10¹⁷¹-9 =

7(9)₁₇₀1_<172>

= 193889600710609_<15> · 41260593506200698279599462767637384171982231491177858236262250974719211845842972441210726085997841796337501541838264491008556974220898578912233981285000963399_<158>

8·10¹⁷²-9 =

7(9)₁₇₁1_<173>

= 2887 · 183569 · 20014529 · 128714305601821727214220447_<27> · 58596498982001952975845798701288109708106382244239018345980820975809202876122374448730226233013938124947800132473133749936923060319_<131>

8·10¹⁷³-9 =

7(9)₁₇₂1_<174>

= 762946411 · 25759368564863328438503015111_<29> · 23660900021573994987453189462396384397709_<41> · 1720400179231385795985452436310629205021018478432220686288060649998543845046452046194341069059519_<97> (Serge Batalov / GMP-ECM 6.2.1 B1=5000000, sigma=3442877901 for P41 / Aug 8, 2008)

8·10¹⁷⁴-9 =

7(9)₁₇₃1_<175>

= 41 · 173743074481_<12> · 19106912458400837994080317241_<29> · 451656251742733916273683704772193_<33> · 592251998082554341409369753785202370375115807_<45> · 219732123875349514938455918437129730022904144914165154681_<57> (Serge Batalov / GMP-ECM 6.2.1 B1=2000000, sigma=1366989160 for P33 / Aug 29, 2008) (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona gnfs for P45 x P57 / 4.00 hours on Core 2 Quad Q6700 / Aug 30, 2008)

8·10¹⁷⁵-9 =

7(9)₁₇₄1_<176>

= 19 · 31 · 149 · 20059681 · 343336352573371_<15> · 132356298264951304247691216083342406871276098976976067296888785159636102953289446576228151348035488494413741550290799505424221421961676806586976243781_<150>

8·10¹⁷⁶-9 =

7(9)₁₇₅1_<177>

= 7 · 47 · 71 · 2006614343_<10> · 3761131926862762109033_<22> · 4537882651626232824466406254647044203827101931656789392057764811180770931956296544596453833901873187582314737218252795726330076899175702962071_<142>

8·10¹⁷⁷-9 =

7(9)₁₇₆1_<178>

= 991 · 115981 · 36714255936236869753284963919_<29> · [1895809749983499223161378577449224665212472266584637468844805660555251310499427442938674150441702844483801295587373610858903385027721199325859_<142>] SUBMIT/RESERVE

8·10¹⁷⁸-9 =

7(9)₁₇₇1_<179>

= definitely prime number

8·10¹⁷⁹-9 =

7(9)₁₇₈1_<180>

= 41 · 19512195121951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951_<179>

8·10¹⁸⁰-9 =

7(9)₁₇₉1_<181>

= 826115977894170609050375729157582021497_<39> · 9990207070327391855783197701498143287718371662893791939986474480751_<67> · 969336296313865853470535064289775123620533028668230038800912477861614266753_<75> (Jo Yeong Uk / GMP-ECM 6.1.3 B1=3000000, sigma=1512967684 for P39 / Jan 15, 2008) (matsui / Msieve 1.41 snfs / 110.65 hours / May 19, 2009)

8·10¹⁸¹-9 =

7(9)₁₈₀1_<182>

= 6701381 · 11937837887444393924177717995738490320129537478916659118471252417971758358463725611183724668094531559987411549947689886606954596373493761957423402728482382959572064325248780811_<176>

8·10¹⁸²-9 =

7(9)₁₈₁1_<183>

= 7 · 55034647 · 80872862999_<11> · 12505279122703_<14> · 4610751791149583_<16> · 300977981458113710336063_<24> · 791520676525556756558287_<24> · 1869350855022326145848482156629783632895446606870285042910755179464118848856103721317809_<88>

8·10¹⁸³-9 =

7(9)₁₈₂1_<184>

= 61 · 6301 · 20813766224981202567378063851431336686084176074055380228483118734731151183392695929087498471489042852942936458173435910511212115693319561558014470770967918181084969598892707636831_<179>

8·10¹⁸⁴-9 =

7(9)₁₈₃1_<185>

= 17 · 41 · 53881 · 525199 · 19560201548737_<14> · 47291522362212610363688449301629559_<35> · 16036893578982114464326470006735731329_<38> · 273414034698599650866625624274832254903897139353621479873467317551382470700435628639391_<87> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=3256196919 for P35 / Jan 10, 2008) (Robert Backstrom / GMP-ECM 6.0.1 B1=1836000, sigma=2743095310 for P38 / Jan 26, 2008)

8·10¹⁸⁵-9 =

7(9)₁₈₄1_<186>

= 191 · 1417159 · 2076771549705598050703621_<25> · 1423145536052120102382132019368305719940062530797523306346723844255178216935965167603016558787305428873887986189012205606784622894763594805151285500405859_<154>

8·10¹⁸⁶-9 =

7(9)₁₈₅1_<187>

= 151 · 847274600419839100841_<21> · [62530061002747587666251464991565903659267763208907604705967016038102132403369999133804719711007850582072044273238448440030480087924216682502719976570593580442803001_<164>] SUBMIT/RESERVE

8·10¹⁸⁷-9 =

7(9)₁₈₆1_<188>

= 4799 · 2538299 · 6567445211308539305752531218104327527054666278838120571641421811856386013228494084794165546954678894087650150445996423381980253401263025335072242978079596518324777346300066182091_<178>

8·10¹⁸⁸-9 =

7(9)₁₈₇1_<189>

= 7² · 7602311 · 173736791 · [12361081769315232268117296647687104334038465864802728862498387960929570587292257900901705308341430995588150830938335205638071300453473096833148894389249970975564917087181959_<173>] SUBMIT/RESERVE

8·10¹⁸⁹-9 =

7(9)₁₈₈1_<190>

= 29 · 41 · 2596385003143837715582911_<25> · [2591427364336719491235389806977115681555038614279184025366308696610268250530517408044902827364339063789302198421776397419940583459949469105359168620438392722790229_<163>] SUBMIT/RESERVE

8·10¹⁹⁰-9 =

7(9)₁₈₉1_<191>

= 31 · 257 · 30319 · 2445649 · 568034078420777_<15> · 1118584622077795641597568510231_<31> · 5956694674603727915072852316779388032674317487_<46> · 35779774073720156830334101164802233650029559245191540826257705794588243741259881976407_<86> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=1248440662 for P31 / Jan 11, 2008) (Wataru Sakai / GMP-ECM 6.2.1 B1=3000000, sigma=3143978648 for P46 / Apr 21, 2009)

8·10¹⁹¹-9 =

7(9)₁₉₀1_<192>

= 2838215384488977187840273748749501_<34> · [281867262214153842659280716998882524780880662933308691584296839537167821919759679358142157019600539866645046737600020701546566244595946561032467565638861495491_<159>] (Jo Yeong Uk / GMP-ECM 6.1.3 B1=1000000, sigma=301425253 for P34 / Jan 12, 2008) SUBMIT/RESERVE

8·10¹⁹²-9 =

7(9)₁₉₁1_<193>

= 23 · 18679 · 88554291281_<11> · 21761061683787691129_<20> · 1019205584347682443153199_<25> · 9481063224206527308752297561166297518388025260180897213130338632814005914190654888873107270178108977355433010461160592720741029966273_<133>

8·10¹⁹³-9 =

7(9)₁₉₂1_<194>

= 19 · 281 · 4418326058451689_<16> · 28635389649731171_<17> · 4005799549560803338611269_<25> · 47530447988775454504196992466925654385332702204589_<50> · 622025352119764712028843316628216948512092949996598055244945354900245093351541822511_<84> (Sinkiti Sibata / Msieve 1.40 gnfs for P50 x P84 / 379.04 hours / May 23, 2009)

8·10¹⁹⁴-9 =

7(9)₁₉₃1_<195>

= 7 · 41 · 27333617 · 101979055534180908398804937583005844284932836783323810289051858283389497739408541687601081217588453295187071615330580713221651435519603254808356223825144965499662669282257266479646758329_<186>

8·10¹⁹⁵-9 =

7(9)₁₉₄1_<196>

= 3889 · 15610275261869941441_<20> · 435897677914358674687851179_<27> · 1045513792226296340499906371_<28> · 19119580804026448034824934992231_<32> · 15123377562818027057411188140424291585847836807190418568871815626881749196170735312717121_<89> (Jo Yeong Uk / GMP-ECM 6.1.3 B1=1000000, sigma=3290480722 for P32 / Jan 15, 2008)

8·10¹⁹⁶-9 =

7(9)₁₉₅1_<197>

= 103 · 167 · 954991 · [4870090283549611357173900624575996585213471414044546711318794782800679163627138563032150781701804410777227307908392638219069210080951912395486931871210218216502807646526635711971447817801_<187>] SUBMIT/RESERVE

8·10¹⁹⁷-9 =

7(9)₁₉₆1_<198>

= 1741 · 91944989 · 1234814714173888079_<19> · [4047262329443250057887550819899108175975171371478213673194754179231810047624829826656727381875945885359417535752045105517727691592940261537067267217589420580234705199521_<169>] SUBMIT/RESERVE

8·10¹⁹⁸-9 =

7(9)₁₉₇1_<199>

= 1616047 · 866083792778492543_<18> · 48379420295302544573687953_<26> · 118145022102909943944592172563135540794145409774164176463071726333370430757513105962769532160781285167609778415980091915961386815871399074195238846807_<150>

8·10¹⁹⁹-9 =

7(9)₁₉₈1_<200>

= 41 · 89 · 1951 · 11237219243344651554198723760917485239561360765445663198907629917354466422416342063201211259862240119991027080434189295733972319076907388036210253428791637935672257510992458561700550862533832809_<194>

8·10²⁰⁰-9 =

7(9)₁₉₉1_<201>

= 7 · 17 · 887 · 4759 · 1592588960531259966185315080796009486471142914121708678264296297337967446036372259364172752846575093743717920866273157709165652258833522111197559273010770935945042796816980833273480190513534033_<193>

4. References

• A103068 (On-Line Encyclopedia of Integer Sequences)