Factorizations of 899...993

Table of contents

1. About 899...993
   • First ten terms
   • General term
2. Prime numbers of the form 899...993
   • Last update
   • Searched up to
   • Difficulty of search
   • Results
3. Factorizations of 899...993
   • Last update
   • Completed up to
   • Range
   • Terms which have not been factored yet
   • Results
4. References

1. About 899...993

First ten terms

83, 893, 8993, 89993, 899993, 8999993, 89999993, 899999993, 8999999993, 89999999993

General term

9·10ⁿ-7

2. Prime numbers of the form 899...993

Last update

Aug 9, 2009

Searched up to

n≤20000

Difficulty of search

31.06%

Results

1. 9·10¹-7 = 83 is prime.
2. 9·10⁶-7 = 8999993 is prime.
3. 9·10⁹-7 = 8999999993_<10> is prime.
4. 9·10¹⁰-7 = 89999999993_<11> is prime.
5. 9·10¹²-7 = 8(9)₁₁3_<13> is prime.
6. 9·10¹³-7 = 8(9)₁₂3_<14> is prime.
7. 9·10²³-7 = 8(9)₂₂3_<24> is prime.
8. 9·10⁶¹-7 = 8(9)₆₀3_<62> is prime.
9. 9·10¹⁹⁴-7 = 8(9)₁₉₃3_<195> is prime. (searched by Makoto Kamada / Nov 29, 2004) (certified by Makoto Kamada / PPSIQS / Jan 5, 2005)
10. 9·10²³³-7 = 8(9)₂₃₂3_<234> is prime. (searched by Makoto Kamada / Nov 29, 2004) (certified by Makoto Kamada / PPSIQS / Jan 5, 2005)
11. 9·10⁵⁴⁹-7 = 8(9)₅₄₈3_<550> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Jun 1, 2006)
12. 9·10⁷⁶⁵-7 = 8(9)₇₆₄3_<766> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Jun 1, 2006)
13. 9·10⁹⁷³-7 = 8(9)₉₇₂3_<974> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Jun 1, 2006)
14. 9·10¹⁰⁶¹-7 = 8(9)₁₀₆₀3_<1062> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Sep 14, 2006)
15. 9·10¹¹⁸⁶-7 = 8(9)₁₁₈₅3_<1187> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Sep 11, 2006)
16. 9·10¹⁸⁵³-7 = 8(9)₁₈₅₂3_<1854> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Jul 3, 2006)
17. 9·10³⁷¹³-7 = 8(9)₃₇₁₂3_<3714> is PRP. (Makoto Kamada / PFGW / Dec 18, 2004)
18. 9·10⁶⁷⁸⁹-7 = 8(9)₆₇₈₈3_<6790> is PRP. (Makoto Kamada / PFGW / Dec 25, 2004)
19. 9·10⁷²⁵⁴-7 = 8(9)₇₂₅₃3_<7255> is PRP. (Makoto Kamada / PFGW / Dec 29, 2004)
20. 9·10⁷⁷⁶⁵-7 = 8(9)₇₇₆₄3_<7766> is PRP. (Makoto Kamada / PFGW / Dec 29, 2004)
21. 9·10⁹⁰²⁵-7 = 8(9)₉₀₂₄3_<9026> is PRP. (Makoto Kamada / PFGW / Jan 8, 2005)
22. 9·10¹⁰⁸⁵⁵-7 = 8(9)₁₀₈₅₄3_<10856> is PRP. (Sinkiti Sibata / PFGW / Nov 4, 2007)

3. Factorizations of 899...993

Last update

Oct 22, 2009

Completed up to

• n≤100 / Nov 29, 2004
• n≤150 / Oct 31, 2007

Range

n≤200

Terms which have not been factored yet

n=172, 175, 176, 177, 179, 183, 185, 186, 187, 189, 190, 193, 197, 198, 200 (15/200)

Results

9·10¹-7 =

83

= definitely prime number

9·10²-7 =

893

= 19 · 47

9·10³-7 =

8993

= 17 · 23²

9·10⁴-7 =

89993

= 31 · 2903

9·10⁵-7 =

899993

= 53 · 16981

9·10⁶-7 =

8999993

= definitely prime number

9·10⁷-7 =

89999993

= 379 · 237467

9·10⁸-7 =

899999993

= 1811 · 496963

9·10⁹-7 =

8999999993_<10>

= definitely prime number

9·10¹⁰-7 =

89999999993_<11>

= definitely prime number

9·10¹¹-7 =

899999999993_<12>

= 313 · 2875399361_<10>

9·10¹²-7 =

8999999999993_<13>

= definitely prime number

9·10¹³-7 =

89999999999993_<14>

= definitely prime number

9·10¹⁴-7 =

899999999999993_<15>

= 3313 · 271657108361_<12>

9·10¹⁵-7 =

8999999999999993_<16>

= 317 · 3701 · 7671215129_<10>

9·10¹⁶-7 =

89999999999999993_<17>

= 1867 · 3217 · 14984668187_<11>

9·10¹⁷-7 =

899999999999999993_<18>

= 269 · 23747 · 140890424351_<12>

9·10¹⁸-7 =

8999999999999999993_<19>

= 53 · 13415189 · 12658138529_<11>

9·10¹⁹-7 =

89999999999999999993_<20>

= 17 · 31 · 22963 · 1020847 · 7285219

9·10²⁰-7 =

899999999999999999993_<21>

= 19² · 859 · 4621 · 8269 · 75954443

9·10²¹-7 =

8999999999999999999993_<22>

= 24049 · 393929 · 452443 · 2099731

9·10²²-7 =

89999999999999999999993_<23>

= 29 · 281 · 523 · 2557231 · 8257841489_<10>

9·10²³-7 =

899999999999999999999993_<24>

= definitely prime number

9·10²⁴-7 =

8999999999999999999999993_<25>

= 227 · 1951 · 63317 · 320951236598777_<15>

9·10²⁵-7 =

89999999999999999999999993_<26>

= 23 · 3913043478260869565217391_<25>

9·10²⁶-7 =

899999999999999999999999993_<27>

= 113 · 337 · 787 · 30030283538930108419_<20>

9·10²⁷-7 =

8999999999999999999999999993_<28>

= 449 · 4096397 · 4893213091857087581_<19>

9·10²⁸-7 =

89999999999999999999999999993_<29>

= 6247 · 177892207 · 80986770372427217_<17>

9·10²⁹-7 =

899999999999999999999999999993_<30>

= 311 · 373 · 6967 · 428083 · 2601354241140871_<16>

9·10³⁰-7 =

8999999999999999999999999999993_<31>

= 16631 · 541158078287535325596777103_<27>

9·10³¹-7 =

89999999999999999999999999999993_<32>

= 53 · 40213357 · 42227591383310023366633_<23>

9·10³²-7 =

899999999999999999999999999999993_<33>

= 109 · 34306163 · 140914869181_<12> · 1707996761659_<13>

9·10³³-7 =

8999999999999999999999999999999993_<34>

= 962067047 · 3046158667_<10> · 3071034173656957_<16>

9·10³⁴-7 =

89999999999999999999999999999999993_<35>

= 31 · 389 · 7463305415042706692097188821627_<31>

9·10³⁵-7 =

899999999999999999999999999999999993_<36>

= 17 · 1676887 · 12045008363_<11> · 2621094531232243709_<19>

9·10³⁶-7 =

8999999999999999999999999999999999993_<37>

= 578509 · 15557234200332233379255983917277_<32>

9·10³⁷-7 =

89999999999999999999999999999999999993_<38>

= 13627 · 22961 · 19819511 · 14513044264682099118029_<23>

9·10³⁸-7 =

899999999999999999999999999999999999993_<39>

= 19 · 59 · 383 · 56989 · 1216373 · 30239897518043332553383_<23>

9·10³⁹-7 =

8999999999999999999999999999999999999993_<40>

= 10343147 · 6519673271990959_<16> · 133463951944204741_<18>

9·10⁴⁰-7 =

89999999999999999999999999999999999999993_<41>

= 3178728147256931_<16> · 28313210765653266304553203_<26>

9·10⁴¹-7 =

899999999999999999999999999999999999999993_<42>

= 1519153 · 592435389983760687699000693149406281_<36>

9·10⁴²-7 =

8999999999999999999999999999999999999999993_<43>

= 83 · 50207 · 503527689989_<12> · 4289204835102465899374777_<25>

9·10⁴³-7 =

89999999999999999999999999999999999999999993_<44>

= 3626823462259554793_<19> · 24815103612440213368896401_<26>

9·10⁴⁴-7 =

899999999999999999999999999999999999999999993_<45>

= 53 · 233 · 2269 · 32120050759673104964293031794103622353_<38>

9·10⁴⁵-7 =

8999999999999999999999999999999999999999999993_<46>

= 26227 · 57367 · 16810357 · 885199967 · 12266713841_<11> · 32770660463_<11>

9·10⁴⁶-7 =

89999999999999999999999999999999999999999999993_<47>

= 131 · 859 · 958577 · 834355331834150144176536910168297721_<36>

9·10⁴⁷-7 =

899999999999999999999999999999999999999999999993_<48>

= 23 · 6329 · 1294713809_<10> · 4775356485451602167308132609781431_<34>

9·10⁴⁸-7 =

8999999999999999999999999999999999999999999999993_<49>

= 47 · 457 · 2454698263_<10> · 170698748147353661187216091658935609_<36>

9·10⁴⁹-7 =

89999999999999999999999999999999999999999999999993_<50>

= 31 · 97 · 4297 · 61141 · 235427459 · 6051217595279_<13> · 79967092297671167_<17>

9·10⁵⁰-7 =

899999999999999999999999999999999999999999999999993_<51>

= 29 · 281 · 110442999140998895570008590011044299914099889557_<48>

9·10⁵¹-7 =

8999999999999999999999999999999999999999999999999993_<52>

= 17² · 303053 · 102760469330812520066122479952203137078458429_<45>

9·10⁵²-7 =

89999999999999999999999999999999999999999999999999993_<53>

= 617 · 3361 · 13461960683_<11> · 1384640841470659_<16> · 2328323800825706481137_<22>

9·10⁵³-7 =

899999999999999999999999999999999999999999999999999993_<54>

= 257 · 2731 · 2730271 · 1107026068697_<13> · 194441495124557_<15> · 2181901445423281_<16>

9·10⁵⁴-7 =

8999999999999999999999999999999999999999999999999999993_<55>

= 1156997 · 1469179 · 5294629371545575527506732661455484247697311_<43>

9·10⁵⁵-7 =

89999999999999999999999999999999999999999999999999999993_<56>

= 1595289607_<10> · 76474336411677317_<17> · 737712693767839975691599501747_<30>

9·10⁵⁶-7 =

899999999999999999999999999999999999999999999999999999993_<57>

= 19 · 38064163680249424816411_<23> · 1244436143416699013384483692272377_<34>

9·10⁵⁷-7 =

8999999999999999999999999999999999999999999999999999999993_<58>

= 53 · 14667123451153_<14> · 44590576184581379839_<20> · 259644189592931992527643_<24>

9·10⁵⁸-7 =

89999999999999999999999999999999999999999999999999999999993_<59>

= 4231 · 24419 · 41515165640477_<14> · 20982867305985629592625867628978277881_<38>

9·10⁵⁹-7 =

899999999999999999999999999999999999999999999999999999999993_<60>

= 61 · 181 · 199 · 449 · 593 · 1538437965218539798708007408281349027216862982511_<49>

9·10⁶⁰-7 =

8999999999999999999999999999999999999999999999999999999999993_<61>

= 931990420483693_<15> · 9656751616963076551941680487833418652305879101_<46>

9·10⁶¹-7 =

89999999999999999999999999999999999999999999999999999999999993_<62>

= definitely prime number

9·10⁶²-7 =

899999999999999999999999999999999999999999999999999999999999993_<63>

= 6553 · 13250766851189015597542931_<26> · 10364809607688328974145571574517051_<35>

9·10⁶³-7 =

8999999999999999999999999999999999999999999999999999999999999993_<64>

= 2969 · 4615291 · 209897257 · 170019792081371_<15> · 3516986807500121_<16> · 5233066331801641_<16>

9·10⁶⁴-7 =

89999999999999999999999999999999999999999999999999999999999999993_<65>

= 31 · 193 · 19489 · 64411397793914660436341_<23> · 11983156385596497470624913966200779_<35>

9·10⁶⁵-7 =

899999999999999999999999999999999999999999999999999999999999999993_<66>

= 28477 · 3408318076147_<13> · 9272741572275731948360977948814948957874962223647_<49>

9·10⁶⁶-7 =

8999999999999999999999999999999999999999999999999999999999999999993_<67>

= 101311949 · 88834536190790288715105066234586011172285314538761859176157_<59>

9·10⁶⁷-7 =

89999999999999999999999999999999999999999999999999999999999999999993_<68>

= 17 · 3925889327117306563949989_<25> · 1348514236122437171783930286890948195647861_<43>

9·10⁶⁸-7 =

899999999999999999999999999999999999999999999999999999999999999999993_<69>

= 2239 · 24107 · 16674209276110880749705056396529593117983203253812608899955541_<62>

9·10⁶⁹-7 =

8999999999999999999999999999999999999999999999999999999999999999999993_<70>

= 23 · 391304347826086956521739130434782608695652173913043478260869565217391_<69>

9·10⁷⁰-7 =

89999999999999999999999999999999999999999999999999999999999999999999993_<71>

= 53 · 2203 · 41721353 · 4667317181_<10> · 1109998406431_<13> · 3566186797560116503238928077107754269_<37>

9·10⁷¹-7 =

899999999999999999999999999999999999999999999999999999999999999999999993_<72>

= 587 · 3299 · 2086577 · 116162821 · 1917434452242125040485081748409927752483794566690933_<52>

9·10⁷²-7 =

8999999999999999999999999999999999999999999999999999999999999999999999993_<73>

= 859 · 8419 · 1402709784884641_<16> · 887198930441398371296360402386507058010071975542313_<51>

9·10⁷³-7 =

89999999999999999999999999999999999999999999999999999999999999999999999993_<74>

= 577 · 33037 · 313151771 · 62245170469_<11> · 12758621487819479_<17> · 18984615547684073234135295828317_<32>

9·10⁷⁴-7 =

899999999999999999999999999999999999999999999999999999999999999999999999993_<75>

= 19 · 15334860677681731423_<20> · 3088937164037708421559949570368204959659123615233580189_<55>

9·10⁷⁵-7 =

8999999999999999999999999999999999999999999999999999999999999999999999999993_<76>

= 107981 · 34645789 · 8452984712082679_<16> · 284599822377750208940599462415807344841270317063_<48>

9·10⁷⁶-7 =

89999999999999999999999999999999999999999999999999999999999999999999999999993_<77>

= 197 · 51417547 · 62450111 · 20902061156533_<14> · 22231066131117421759_<20> · 306183871590184218075442931_<27>

9·10⁷⁷-7 =

899999999999999999999999999999999999999999999999999999999999999999999999999993_<78>

= 4787412431419_<13> · 9572930986839253860842860383569_<31> · 19637976601995850451812419925821163_<35> (Makoto Kamada / msieve 0.81 / 1 minutes)

9·10⁷⁸-7 =

8999999999999999999999999999999999999999999999999999999999999999999999999999993_<79>

= 29 · 281 · 99623 · 687707 · 1603249 · 16547411 · 19199909 · 31647902285474629463385388915403499874414487_<44>

9·10⁷⁹-7 =

89999999999999999999999999999999999999999999999999999999999999999999999999999993_<80>

= 31 · 3931 · 1961471469667_<13> · 1489556428853252065481506534061_<31> · 252777733809051042510627160716499_<33>

9·10⁸⁰-7 =

899999999999999999999999999999999999999999999999999999999999999999999999999999993_<81>

= 223 · 557 · 136333 · 24991979 · 11251141385453_<14> · 16308863265043_<14> · 11589388958273519680856002091406734971_<38>

9·10⁸¹-7 =

8999999999999999999999999999999999999999999999999999999999999999999999999999999993_<82>

= 195760283 · 63078669271237_<14> · 728845375474101807285300781953461969406930066225944407957183_<60>

9·10⁸²-7 =

89999999999999999999999999999999999999999999999999999999999999999999999999999999993_<83>

= 3329 · 27035145689396215079603484529888855512165815560228296785821568038449984980474617_<80>

9·10⁸³-7 =

899999999999999999999999999999999999999999999999999999999999999999999999999999999993_<84>

= 17 · 53 · 83 · 123707 · 24154932913_<11> · 6837637450591_<13> · 42049390908982969_<17> · 14007922697293690593254196391394339_<35>

9·10⁸⁴-7 =

8999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<85>

= 2460043 · 17754601 · 462084737 · 445930595549615608997917209874756352721133615668023076371690323_<63>

9·10⁸⁵-7 =

89999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<86>

= 35281 · 89658182401_<11> · 178071489654670298983_<21> · 159778117883200444491118378129099058561979659252591_<51>

9·10⁸⁶-7 =

899999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<87>

= 653740973 · 19321136458939597512041299_<26> · 71253161142181477236070250973511702994228555432462959_<53>

9·10⁸⁷-7 =

8999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<88>

= 24213892169609_<14> · 2546150484433285848884197116341593_<34> · 145980160671059359421302969277919938950489_<42> (Makoto Kamada / msieve 0.83 / 9.5 minutes)

9·10⁸⁸-7 =

89999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<89>

= 5737 · 2730224921_<10> · 32428952447_<11> · 44010331139998721_<17> · 1354451509234875550609003_<25> · 2972406589748367709819669_<25>

9·10⁸⁹-7 =

899999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<90>

= 1433 · 4783101992794033_<16> · 131306636683864008664877819453723561118073999554515651299297780880066737_<72>

9·10⁹⁰-7 =

8999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<91>

= 400260503 · 22485356243106505065277450071060346416443692921657073918182729111295800275352174831_<83>

9·10⁹¹-7 =

89999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<92>

= 23 · 449 · 72843863 · 21709335236231_<14> · 47820557697466403_<17> · 1591998561797473609405739_<25> · 72388825562933445729016559_<26>

9·10⁹²-7 =

899999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<93>

= 19 · 2222921 · 2592719 · 28489831 · 3405203237224919964164302378007_<31> · 84718160814355196926074187190089269343909_<41> (Makoto Kamada / msieve 0.83 / 4.3 minutes)

9·10⁹³-7 =

8999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<94>

= 3038766889_<10> · 85610088419_<11> · 34595545127810416261578469644387860475288120433778789515166544632779921723_<74>

9·10⁹⁴-7 =

89999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<95>

= 31 · 47 · 317 · 569 · 3727 · 8537 · 6928517 · 763440435724467257952628446906247_<33> · 2034844887234688044040269293005960665313_<40> (Makoto Kamada / msieve 0.83 / 4.7 minutes)

9·10⁹⁵-7 =

899999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<96>

= 1194573351918499376609_<22> · 753407062491883834740246764193083836545273035497250653710655350316236317977_<75>

9·10⁹⁶-7 =

8999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<97>

= 53 · 59 · 367 · 1291 · 6074664843579651527512711558479908510741720836416093561242761926313722830075197756377347_<88>

9·10⁹⁷-7 =

89999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<98>

= 179 · 7216035925321271_<16> · 69677216312777739656044295307979533123700507474608057068550974780959397438380277_<80>

9·10⁹⁸-7 =

899999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<99>

= 859 · 20865827 · 50212719510705002347050467277299825456184999045640036446817653141163429602617765772232201_<89>

9·10⁹⁹-7 =

8999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<100>

= 17 · 1987 · 14543 · 262027 · 290516931203304609450113_<24> · 240671255931226803033040927898839013903307752914346444123063719_<63>

9·10¹⁰⁰-7 =

89999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<101>

= 275573 · 29016007 · 633438539 · 146026016625925851960851_<24> · 121683999812110022401627219316059813295878908746202034867_<57>

9·10¹⁰¹-7 =

8(9)₁₀₀3_<102>

= 1151 · 1579 · 495205039646665701933885725384595491763364621121375305445219593172553095609237004581747072375317_<96>

9·10¹⁰²-7 =

8(9)₁₀₁3_<103>

= 153757 · 6203345868991_<13> · 9435862781643766392765431242711860011853071767563210891048721721836926586677604249139_<85>

9·10¹⁰³-7 =

8(9)₁₀₂3_<104>

= 8969263 · 22129553 · 3138341068996635669510657500009591_<34> · 144481741911394492878214372456463812416287949515103488657_<57> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 1.16 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Oct 28, 2007)

9·10¹⁰⁴-7 =

8(9)₁₀₃3_<105>

= 149 · 55001 · 61379 · 30483828623351_<14> · 32825864633489_<14> · 313678532475953_<15> · 5700269168653034105761773345654567533050804427789849_<52>

9·10¹⁰⁵-7 =

8(9)₁₀₄3_<106>

= 349 · 3718002955578853001_<19> · 6935972328195994366867601230695622408433022905199687749554476469033858069752030913957_<85>

9·10¹⁰⁶-7 =

8(9)₁₀₅3_<107>

= 29 · 281 · 21155789 · 26583757 · 367077182621_<12> · 29842828862698429679_<20> · 1792648855350778106226341288212621000032004613815105849951_<58>

9·10¹⁰⁷-7 =

8(9)₁₀₆3_<108>

= 229346090476450181550249720633629_<33> · 3924200312856059802459172311645063058914298932835598068216843393357783672717_<76> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=1313680099 for P33 / Oct 20, 2007)

9·10¹⁰⁸-7 =

8(9)₁₀₇3_<109>

= 134885793285601424333_<21> · 66723112796199255391367082753863720943876137047685460137756116714844525365672978998733021_<89>

9·10¹⁰⁹-7 =

8(9)₁₀₈3_<110>

= 31² · 53 · 33889 · 26164060541_<11> · 13546917651611965549_<20> · 535200556128305490027165361453_<30> · 274866812455110095849889444659599825151057_<42> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=2718962488 for P30 / Oct 20, 2007)

9·10¹¹⁰-7 =

8(9)₁₀₉3_<111>

= 19 · 41551595117_<11> · 41281949109330068117018801413_<29> · 27614743514922133541815936402538216668321370424896711617313719193012707_<71> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 1.60 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Oct 28, 2007)

9·10¹¹¹-7 =

8(9)₁₁₀3_<112>

= 263 · 2273 · 30709243 · 15081727006323373636683367_<26> · 32506270040987637556622159708982578295394684865809958591379888244283291147_<74>

9·10¹¹²-7 =

8(9)₁₁₁3_<113>

= 15149 · 73453 · 75516953 · 1071037180065325997386223485620247257953372676977259499895914366620144365351171155661589700049273_<97>

9·10¹¹³-7 =

8(9)₁₁₂3_<114>

= 23 · 6988483 · 5599274518176361830196040119648035327490274697857081118475491250638962766995728357019996172709224342517477_<106>

9·10¹¹⁴-7 =

8(9)₁₁₃3_<115>

= 15273767989713770811037_<23> · 232741247748956358607337_<24> · 2648289886635648530766401_<25> · 955999003944617666214740280660713563539945797_<45>

9·10¹¹⁵-7 =

8(9)₁₁₄3_<116>

= 17 · 509 · 1741 · 3079 · 47681 · 5427249593_<10> · 148651844507_<12> · 50439630145140012356441776917545429269823969657927910498987184071213433369264909_<80>

9·10¹¹⁶-7 =

8(9)₁₁₅3_<117>

= 867848053 · 8221001536282820042554959373_<28> · 126146175062235775566651327911035316108784424212762468419631710947788602532706697_<81>

9·10¹¹⁷-7 =

8(9)₁₁₆3_<118>

= 192335013307_<12> · 1111873976141_<13> · 6876114528185803_<16> · 432493409946666533034050450858960849_<36> · 14151614711419740654283488076476618603054437_<44> (Makoto Kamada / Msieve 1.28 for P36 x P44 / 12 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / Oct 28, 2007)

9·10¹¹⁸-7 =

8(9)₁₁₇3_<119>

= 14831 · 29251 · 11591783009_<11> · 15310381321_<11> · 6287652139412027_<16> · 185911647667040247363626898402204883489295784715746022479797536976854416751_<75>

9·10¹¹⁹-7 =

8(9)₁₁₈3_<120>

= 61 · 823 · 1004981 · 1446682233738538319_<19> · 45567990874948473844291875103339917072403_<41> · 270596365668481699029128282701225154281973286874043_<51> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 2.11 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Oct 28, 2007)

9·10¹²⁰-7 =

8(9)₁₁₉3_<121>

= 20354029401725849662526304753223971301497103511422609997_<56> · 442172889817918611600780346173978409068598975005735222119428696669_<66> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / Oct 28, 2007)

9·10¹²¹-7 =

8(9)₁₂₀3_<122>

= 479 · 187891440501043841336116910229645093945720250521920668058455114822546972860125260960334029227557411273486430062630480167_<120>

9·10¹²²-7 =

8(9)₁₂₁3_<123>

= 53 · 4483 · 916879 · 2468335253078521_<16> · 21496643135387952418448986201888231937_<38> · 77859405334185056592558073314508609031087592802266287870129_<59> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 2.78 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Oct 28, 2007)

9·10¹²³-7 =

8(9)₁₂₂3_<124>

= 283 · 449 · 18553 · 335087805245091568482853093222231_<33> · 11392970303565490307790042441076114728020253883982388272289002974166360045042039653_<83> (Robert Backstrom / GMP-ECM 6.0.1 B1=226000, sigma=4254552781 for P33 / Oct 28, 2007)

9·10¹²⁴-7 =

8(9)₁₂₃3_<125>

= 31 · 83 · 859 · 514997239710717504843060243797163586321_<39> · 79068710858248681348102914984733040362741538735234491408794076224567905858038519_<80> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / Oct 28, 2007)

9·10¹²⁵-7 =

8(9)₁₂₄3_<126>

= 3947 · 6271 · 25471265971155677_<17> · 1427539228774468658751300436716796405108840460052646950466256970887892354170913842793876805033960215257_<103>

9·10¹²⁶-7 =

8(9)₁₂₅3_<127>

= 3677 · 59222213 · 41329889829588424255804826541199422267006803659109803054115055195001946595585602838886274959316159376530032937660393_<116>

9·10¹²⁷-7 =

8(9)₁₂₆3_<128>

= 16927 · 2815289 · 34549727 · 18928495665651195086151678397725759673977330546366127_<53> · 2887877797068484257309586094965034801453924030197429437839_<58> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 4.41 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Oct 28, 2007)

9·10¹²⁸-7 =

8(9)₁₂₇3_<129>

= 19 · 66612701 · 711101942145111019404068618274937972375094369054808015476934662244540706244120337540907986111663916054561110611149382047_<120>

9·10¹²⁹-7 =

8(9)₁₂₈3_<130>

= 1045571 · 838081845193_<12> · 1049171226970903_<16> · 343667900375662241_<18> · 87159316066813584377999_<23> · 326816061765706342325106563410532398059764756204215248403_<57>

9·10¹³⁰-7 =

8(9)₁₂₉3_<131>

= 2424152785551971_<16> · 37126372783267998055843159178235622465202870961889271394375011300773037140602920337986974471215514460301932358538483_<116>

9·10¹³¹-7 =

8(9)₁₃₀3_<132>

= 17 · 15807203 · 16332241 · 29548166606333_<14> · 6940044233644260805865391929265730365559559192127918756730817212365746010803798216745229167635247471631_<103>

9·10¹³²-7 =

8(9)₁₃₁3_<133>

= 87359 · 453683 · 227081811124422167203942227581830789744857547422644471095022036000911125598887487270340241668613617124449321596453861290269_<123>

9·10¹³³-7 =

8(9)₁₃₂3_<134>

= 264101 · 534617 · 182955127132944612210518087078849494903_<39> · 3484055901363921062151806188107621607898929991774539197434850631713521731052250641243_<85> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 6.85 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Oct 28, 2007)

9·10¹³⁴-7 =

8(9)₁₃₃3_<135>

= 29 · 281 · 1093 · 45587 · 136753 · 38335721 · 422801499246408347784437788429319191683918585807111678844840089751748325423028958440969058106442511184501944579_<111>

9·10¹³⁵-7 =

8(9)₁₃₄3_<136>

= 23 · 53 · 661 · 1110971 · 11332367 · 887184592663736351258794588647849201608579898071048711818340124356551553119117860137528284345310237225304875811724811_<117>

9·10¹³⁶-7 =

8(9)₁₃₅3_<137>

= 5189 · 1932439 · 121773261717971_<15> · 73705705266237112903061904785478879040191055453335729064388835136829403264289003861332547456910848959029601202673_<113>

9·10¹³⁷-7 =

8(9)₁₃₆3_<138>

= 227 · 2521 · 221091843902924979644001926922716807503_<39> · 7113299338479217992920918313593338363891253403625902931023690166695268837106428754985186805093_<94> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 13.09 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Oct 29, 2007)

9·10¹³⁸-7 =

8(9)₁₃₇3_<139>

= 113 · 1039 · 21012038995387387919_<20> · 8324111480329451493669984302302012442668075809611357389_<55> · 438270694932342412379485394874876095508458992349269934992589_<60> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 6.25 hours on Core 2 Quad Q6600 / Oct 29, 2007)

9·10¹³⁹-7 =

8(9)₁₃₈3_<140>

= 31 · 34319 · 95880034599375142177521603584056943225357_<41> · 882303513756038409718500891576339947944242061119473046440639355414422699311396515924957852941_<93> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 6.16 hours on Core 2 Quad Q6600 / Oct 29, 2007)

9·10¹⁴⁰-7 =

8(9)₁₃₉3_<141>

= 47 · 109 · 167 · 617 · 153337616869490449763658859895879_<33> · 11119053224090329768606633153477332542273472771580149117582678104067239138069306589653736225297573611_<101> (Robert Backstrom / GMP-ECM 6.0.1 B1=690500, sigma=3998297514 for P33 / Oct 29, 2007)

9·10¹⁴¹-7 =

8(9)₁₄₀3_<142>

= 2467639565737_<13> · 53727058137272382231521263461791395461691665958866250660772681_<62> · 67884046657300958448660911774042029705347021611364740350454114167369_<68> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs, Msieve 1.28 / Oct 30, 2007)

9·10¹⁴²-7 =

8(9)₁₄₁3_<143>

= 1009 · 1104997769_<10> · 4632016416848161505913411911_<28> · 17426888481989185445727912461939386208627868426094724708353318363551372222498559470563406941300809238903_<104>

9·10¹⁴³-7 =

8(9)₁₄₂3_<144>

= 1777 · 1725179 · 133421887 · 156872632499525723095280260098133461577_<39> · 14026414070177028542787457357907396822775755157120560213926799915579235133672913797156429_<89> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 9.59 hours on Core 2 Quad Q6600 / Oct 30, 2007)

9·10¹⁴⁴-7 =

8(9)₁₄₃3_<145>

= 30380069764762946805547503800941_<32> · 5793759319832245415885975057146558926953_<40> · 51132060310818176689028811056072205332653270314035794978186101297841513141_<74> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=578800379 for P32 / Oct 22, 2007) (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 8.87 hours on Core 2 Quad Q6600 / Oct 30, 2007)

9·10¹⁴⁵-7 =

8(9)₁₄₄3_<146>

= 97 · 3307 · 3767 · 88689612345000909646591931059_<29> · 839785174596700619416492075514766572936766799231731694119293012984478206119418982501449042954689673043155839_<108> (Robert Backstrom / GMP-ECM 6.0.1 B1=226000, sigma=1550273985 for P29 / Oct 29, 2007)

9·10¹⁴⁶-7 =

8(9)₁₄₅3_<147>

= 19 · 307 · 2243 · 17371526793899_<14> · 28598478520519_<14> · 64299853807288749095977974116352073454267827_<44> · 2153427995281495420234041605616327252058426335937525315582533212837981_<70> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 10.37 hours on Core 2 Quad Q6600 / Oct 30, 2007)

9·10¹⁴⁷-7 =

8(9)₁₄₆3_<148>

= 17 · 2029 · 744027979 · 606721972442519377_<18> · 578006271211006103445168626846863596682660958592932126625470299729097430772395542470494910326825803676709393711920247_<117>

9·10¹⁴⁸-7 =

8(9)₁₄₇3_<149>

= 53 · 839 · 3833 · 5333122741489_<13> · 380397540317863012963011373_<27> · 185048077381378285528736195447051909587258335893_<48> · 1406572115111896750750738223467919885903244947129739803_<55> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 30.10 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Oct 31, 2007)

9·10¹⁴⁹-7 =

8(9)₁₄₈3_<150>

= 35794409962129142828512220689799871821_<38> · 123028439265110134626156384131454479013793_<42> · 204372184460583650412981392697490828081020379007054396748321776875537981_<72> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 12.84 hours on Core 2 Quad Q6600 / Oct 29, 2007)

9·10¹⁵⁰-7 =

8(9)₁₄₉3_<151>

= 859 · 352963277 · 18139634852382632412042997_<26> · 55504280314514112186236174411054189440309_<41> · 29482533885016913889484106257918099812603456906714576053691076225565509087_<74> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 12.99 hours on Core 2 Quad Q6600 / Oct 31, 2007)

9·10¹⁵¹-7 =

8(9)₁₅₀3_<152>

= 90997 · 1567079 · 655276266581_<12> · 963163697811673343987868577874569117461268078514734619814169842532563771456880425444817362835048257153449785312467072290576114231_<129>

9·10¹⁵²-7 =

8(9)₁₅₁3_<153>

= 27487 · 2387449 · 5618769997_<10> · 75820868126956676281536230696860571433120407_<44> · 32192229601894986931087007258474395061004652068487123300133829248970334366365297350334109_<89> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 37.53 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Nov 1, 2007)

9·10¹⁵³-7 =

8(9)₁₅₂3_<154>

= 235483 · 15771126802857831503737789_<26> · 2469438507084583723424410362013_<31> · 29916323560200857306637278521712341_<35> · 32803016936544339453376593485631195739277624165372655627383_<59> (Jo Yeong Uk / GMP-ECM 6.1.3 B1=1000000, sigma=2936328627 for P31 / Oct 30, 2007) (Jo Yeong Uk / Msieve v. 1.28 for P35 x P59 / 1.42 hours on Core 2 Quad Q6600 / Oct 31, 2007)

9·10¹⁵⁴-7 =

8(9)₁₅₃3_<155>

= 31 · 59 · 3116155837_<10> · 3792154237087773328323098510929643_<34> · 13515254733080096925398066307959108515533417271_<47> · 308105468835983009135964692963347948427570307230290780677274397_<63> (Robert Backstrom / GMP-ECM 6.0.1 B1=1030000, sigma=1277051764 for P34, GGNFS-0.77.1-20060513-athlon-xp gnfs for P47 x P63 / 15.47 hours on Cygwin on AMD 64 3200+ / Nov 1, 2007)

9·10¹⁵⁵-7 =

8(9)₁₅₄3_<156>

= 449 · 889001 · 392454196502293_<15> · 5745197219293534564290482940434600173511654661178231708789916857339132144601793786666361428268813939928088595947487494143849747067149_<133>

9·10¹⁵⁶-7 =

8(9)₁₅₅3_<157>

= 1683043 · 1587868814184539_<16> · 3367694427687296260583100430280362964295561507388352974134863965811500981423614721410604471883435025863666523126213907931758652262395209_<136>

9·10¹⁵⁷-7 =

8(9)₁₅₆3_<158>

= 23 · 64057787 · 8547312778918799179387612593474476828728823510172134540253167241939987973_<73> · 7146824962215572093535969278319248184705372720242480746696150650147917691641_<76> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / 37.30 hours on Msieve 1.28 / Oct 31, 2007)

9·10¹⁵⁸-7 =

8(9)₁₅₇3_<159>

= 199 · 6421 · 13103 · 8523801288669106552991843_<25> · 6306417307313970197809245310868775352913674246951445466422716802566492004315636870863362894640283909949213143762982427939823_<124>

9·10¹⁵⁹-7 =

8(9)₁₅₈3_<160>

= 18104666690449826252281753693_<29> · 22392329597836817510288640646341074175512979619336814351_<56> · 22199985850784836127380389132731731977501124190563051137404670084573603137251_<77> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 59.23 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Nov 2, 2007)

9·10¹⁶⁰-7 =

8(9)₁₅₉3_<161>

= 619 · 31247 · 201823 · 44832592826645189491277561661890927333335849_<44> · 58928729369518409469720209631759471783420671_<44> · 8726738097012509717654043907256703264726239277870739541104253_<61> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs, Msieve 1.28 / Nov 2, 2007)

9·10¹⁶¹-7 =

8(9)₁₆₀3_<162>

= 53 · 710382599 · 3193863019_<10> · 14169121763_<11> · 637003641965194182950788890954509239897_<39> · 829226536019218470577471928756725407087718463007725782007729866451066972588969963334914455291_<93> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 72.73 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Nov 4, 2007)

9·10¹⁶²-7 =

8(9)₁₆₁3_<163>

= 29 · 281 · 106876054067_<12> · 152750521995337087_<18> · 67651133495946255417864949522676555857026289347396681034462798066358356607523483217492809572137338637499398298500262908602463817833_<131>

9·10¹⁶³-7 =

8(9)₁₆₂3_<164>

= 17 · 7192250773_<10> · 9013613223467_<13> · 25920613065189923_<17> · 3150536960730125128921763452780254558726841743770021618219961721828962470357835320722259465108199647406218744914989315887653_<124>

9·10¹⁶⁴-7 =

8(9)₁₆₃3_<165>

= 19 · 1847353 · 5195304037384876588643582502770703788863_<40> · 44521045988937219971985542168110282187182538753337627749_<56> · 110856890051938744122912238100452821884732080214861054731598977_<63> (Robert Backstrom / GMP-ECM 6.0.1 B1=141500, sigma=2371525520 for P40, GGNFS-0.77.1-20060513-athlon-xp snfs, Msieve 1.29 / Nov 6, 2007)

9·10¹⁶⁵-7 =

8(9)₁₆₄3_<166>

= 83 · 3391 · 5882321 · 1963931828123_<13> · 76471335051147697_<17> · 259614078290227987469021383_<27> · 139423052398459153337677410997022971547928633169768746347640708337313693782504396296367451593083457_<99>

9·10¹⁶⁶-7 =

8(9)₁₆₅3_<167>

= 42709 · 1578482099_<10> · 326236852168633890020751838911718198217_<39> · 4092139473970466337231565660348581447470351547418909019180227591362356350317132972423887166170348215102482040007519_<115> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 124.14 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Nov 7, 2007)

9·10¹⁶⁷-7 =

8(9)₁₆₆3_<168>

= 4102069211_<10> · 1475840225808026944863592821406727235005191165802606042142091249608358711_<73> · 148662072304606973843025284582176600459246392524700966245732210436802333527066765202333_<87> (Robert Backstrom / GGNFS-0.77.1-20050930-k8 snfs, Msieve 1.33 / Jan 27, 2008)

9·10¹⁶⁸-7 =

8(9)₁₆₇3_<169>

= 11369 · 646974011 · 57572701889099_<14> · 5558386317692349989_<19> · 49210457799346902131698308801292711620150749_<44> · 77698147296321048398209905863232249781232086869460260825621557916054516169171993_<80> (Robert Backstrom / GMP-ECM 6.1.3 B1=1586000, sigma=2359037686 for P44 / Feb 11, 2008)

9·10¹⁶⁹-7 =

8(9)₁₆₈3_<170>

= 31 · 499 · 34493149577_<11> · 998601279007657794155352289231_<30> · 168909976039395744416817759101263773883251916332855772388288330175279034030465755378771075571923248100895582334666758448039131_<126> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=1164744747 for P30 / Oct 24, 2007)

9·10¹⁷⁰-7 =

8(9)₁₆₉3_<171>

= 4153 · 7523 · 98899 · 13495865681_<11> · 1229628762217_<13> · 17551848263811700308379709724898741112272604074035145853754506241391337238338312466219663795813981932340712670682553891685621262885475889_<137>

9·10¹⁷¹-7 =

8(9)₁₇₀3_<172>

= 348827 · 1244911 · 14434703429_<11> · 295943798048527087_<18> · 4851510812226669980147389843090984419632343581457889655417604387714774941345657685885904675714457453463732257400553951728383159294303_<133>

9·10¹⁷²-7 =

8(9)₁₇₁3_<173>

= 13195477 · 1856389490999279253223_<22> · [3674077510338901893769884208670755353409628058802191862031853841005019827580775992016232391117248077046407209743051157650002005776066839675989283_<145>] SUBMIT/RESERVE

9·10¹⁷³-7 =

8(9)₁₇₂3_<174>

= 317 · 31815104256736732410487_<23> · 1143831950766122847147685783_<28> · 32933203402548031161720747926069273_<35> · 2368938010738226751172660755825073523676287922290421869222162020029734816560986221793413_<88> (Robert Backstrom / GMP-ECM 6.1.3 B1=2282000, sigma=3215918255 for P35 / Feb 10, 2008)

9·10¹⁷⁴-7 =

8(9)₁₇₃3_<175>

= 53 · 197 · 7436921 · 5931924217_<10> · 1741197521996180430496807_<25> · 278427057302514025989131353_<27> · 40304373398627470597587458659167052742345161887266956394465899657898964937941641047724930568377141640559_<104>

9·10¹⁷⁵-7 =

8(9)₁₇₄3_<176>

= 28111 · 3837401 · 21374582844451_<14> · 6871684579286135803_<19> · [5680259357127333941934063500654989181907458727139329436377879441934063663626419216145665802378567645203686301401970751969312966431071_<133>] SUBMIT/RESERVE

9·10¹⁷⁶-7 =

8(9)₁₇₅3_<177>

= 131 · 859 · 4218701 · 3842326693_<10> · 5266803491_<10> · 1425412813104737_<16> · [65722979413162586901080138062932451476626761263623903463467960591485399113099551660330252979433145820831372296716173806631399730307_<131>] SUBMIT/RESERVE

9·10¹⁷⁷-7 =

8(9)₁₇₆3_<178>

= 256408211102806553939_<21> · [35100279984370161892018531631602213137504045836064960836702141540364550629986257655121744020709129177314903453706701627031454892428587913481034872035000950787_<158>] SUBMIT/RESERVE

9·10¹⁷⁸-7 =

8(9)₁₇₇3_<179>

= 3257 · 392492437 · 70403371649890161048146013166635871526439145455491501245844474127818963611181071610568931995045289197115706250942762177314828254968033727876418147210149639583247930877_<167>

9·10¹⁷⁹-7 =

8(9)₁₇₈3_<180>

= 17 · 23 · 61 · 415999 · 390502486328174744753_<21> · [232284283956066471517995703041275301349737745699568144627641947145240309666826514293119623470594190654034258267798187350788273614422139291445144863269_<150>] SUBMIT/RESERVE

9·10¹⁸⁰-7 =

8(9)₁₇₉3_<181>

= 10891 · 5486819574558925029152624668200693996930258823313386814434120700542015883423_<76> · 150610091392044818382883472006373182746590680311053182451698963556980981251397542935784243994273255701_<102> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon, Msieve 1.36 snfs / 35.61 hours, 3.82 hours / Sep 24, 2008)

9·10¹⁸¹-7 =

8(9)₁₈₀3_<182>

= 3613 · 3761 · 17011 · 2340581 · 730684027 · 15300750882422633_<17> · 979400478501517858241_<21> · 16940272774462961564775996098870506033529998386074873_<53> · 896797988999442350354441292775914106811664777578919757946243069497_<66> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona gnfs for P53 x P66 / 38.34 hours on Core 2 Quad Q6600 / Dec 25, 2007)

9·10¹⁸²-7 =

8(9)₁₈₁3_<183>

= 19 · 202823 · 233545608992232532540039448448309999099551929774392346762292348760404781249505337425398396372050610890439343404684976815408405098871533566861642650825700500592038118795309469989_<177>

9·10¹⁸³-7 =

8(9)₁₈₂3_<184>

= 5095805838797_<13> · 53788217895048934897759774462957_<32> · [32835412899030450500266983265190866427302148755429982740395350344295090094983380845448775024274956875936457641882633522074383141115656458417_<140>] (Makoto Kamada / GMP-ECM 6.1.3 B1=50000, sigma=3272108598 for P32 / Oct 13, 2007) SUBMIT/RESERVE

9·10¹⁸⁴-7 =

8(9)₁₈₃3_<185>

= 31 · 311 · 22091 · 37100458201_<11> · 1275537910469_<13> · 282209150413571_<15> · 480434327015263_<15> · 14873984820428774119490711269_<29> · 593474640229445793717454630072648349617_<39> · 7461012807353624814862644671648910980191120545663272451503_<58> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon gnfs for P39 x P58 / 8.00 hours on Cygwin on AMD 64 3400+ / Oct 29, 2007)

9·10¹⁸⁵-7 =

8(9)₁₈₄3_<186>

= 3599750111_<10> · 3801247698075277_<16> · [65772444856465808807283934006355288921931432657727339505353737175382113649741037396731062549018700778056695481545451578162650090619513880331586745522470891436419_<161>] SUBMIT/RESERVE

9·10¹⁸⁶-7 =

8(9)₁₈₅3_<187>

= 47 · 309805571 · 156017926876754387969365267_<27> · [3961693980598668318737500679836097428055276513567176458865812339834375453300241739948921760843745804855090439295290718965470755460508233582042569585167_<151>] SUBMIT/RESERVE

9·10¹⁸⁷-7 =

8(9)₁₈₆3_<188>

= 53 · 449 · 1997 · 10391 · 54507041 · [3343738323808226309734283181609594738988436796428192170653997838558939179112241111697493865892133061704110118868545608111826466969785149784411127067128986618813864859967_<169>] SUBMIT/RESERVE

9·10¹⁸⁸-7 =

8(9)₁₈₇3_<189>

= 6689591 · 2889983980206166400633343347830421444067318005274107662508507_<61> · 46552982294567003262611165131940242875979617104663519183548141215584144647077930746442394215984131576858766423362881560989_<122> (matsui / Msieve 1.42 snfs / 288.28 hours / Jul 29, 2009)

9·10¹⁸⁹-7 =

8(9)₁₈₈3_<190>

= 229 · 857 · 111509 · [411259822790471918004079227417799567782806178162769769547254969071335944752814373397119667265111504423138897902281296241995927155334650140341361245146839754702037020080549141434009_<180>] SUBMIT/RESERVE

9·10¹⁹⁰-7 =

8(9)₁₈₉3_<191>

= 29 · 281 · 401 · 727 · 214759 · [176403840153881759609559955102438344341376075284535204030596728681780730140687405582158730154754883196409002206632758332772132267360216679041784512978555144619347327706077073349_<177>] SUBMIT/RESERVE

9·10¹⁹¹-7 =

8(9)₁₉₀3_<192>

= 2694899 · 72275153 · 550854319189_<12> · 8388305470467760275118598470006215155634808322340793006782619203654349809033325076696383639330216355087681736024118375029382122889286338655336901330915612601852677671_<166>

9·10¹⁹²-7 =

8(9)₁₉₁3_<193>

= 3469 · 42192949 · 667341094121537947_<18> · 7326564598429775364823_<22> · 12576218572910826994744471544154008911772696731264776763783641942128187748861284675431656667575547830909551595226118457123897290098155673516813_<143>

9·10¹⁹³-7 =

8(9)₁₉₂3_<194>

= 511279 · 3106268111770496829983_<22> · [56669008740959157526815449024142813278240603292475602691821245346424882327611994952635903478655807118221136318638892492073419584764919733029259187281007925636994402249_<167>] SUBMIT/RESERVE

9·10¹⁹⁴-7 =

8(9)₁₉₃3_<195>

= definitely prime number

9·10¹⁹⁵-7 =

8(9)₁₉₄3_<196>

= 17 · 439 · 119183 · 1271399 · 242885213 · 461827684596426570878380861037770727_<36> · 90273726781308008410859820613528673953162767949_<47> · 785941965246821725517634354985618196758423193048763238517231673375963788322474444838897417_<90> (matsui / Oct 21, 2008) (Wataru Sakai / GMP-ECM 6.2.1 B1=11000000, sigma=1202030130 for P47 / Aug 17, 2009)

9·10¹⁹⁶-7 =

8(9)₁₉₅3_<197>

= 731413 · 15089069 · 101668669 · 13688355513133121_<17> · 20476877778258297685878989_<26> · 23222917624869682986808856353387_<32> · 12322489474660531695741954992123566822217378113251020935855509359836204616518712285683147287205008714067_<104> (Robert Backstrom / GMP-ECM 6.1.3 B1=696000, sigma=3337125325 for P32 / Feb 7, 2008)

9·10¹⁹⁷-7 =

8(9)₁₉₆3_<198>

= 104572749495411191273052631155941_<33> · [8606448662225270711938618675616267002791985751466136050473524371365139986511632740091624538638242280156899111248894398265050813422371895877062117828590480106511274373_<166>] (Jo Yeong Uk / GMP-ECM 6.1.3 B1=1000000, sigma=2707934202 for P33 / Oct 29, 2007) SUBMIT/RESERVE

9·10¹⁹⁸-7 =

8(9)₁₉₇3_<199>

= 7541 · 1511118722439549589_<19> · 71998412045036748034474957_<26> · [10969632145496861287153261615923646980173511231913983048228879508892914266469855145979374258961472948228284385344010333237450217324757971809914801075301_<152>] SUBMIT/RESERVE

9·10¹⁹⁹-7 =

8(9)₁₉₈3_<200>

= 31 · 743 · 6841 · 12697 · 316339 · 413089877 · 107105780766623_<15> · 13919023264892149_<17> · 19620579832179617602901623499857_<32> · 6427503805579223317744356595461437807_<37> · 1831041340434809452833718361805463604259680227651236173580827772015915361667_<76> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=3694671248 for P32 / Jul 13, 2008) (Serge Batalov / pol51+Msieve 1.36 gnfs for P37 x P76 / 12.00 hours on Opteron-2.8GHz; Linux x86_64 / Jul 17, 2008)

9·10²⁰⁰-7 =

8(9)₁₉₉3_<201>

= 19 · 53 · 457 · 8017 · 15934453357_<11> · 256144718010248113_<18> · 53233625480766077029_<20> · [1122732608518762476374614505481387192958275303309849940639416663427230442915171109823328710206190083208884656767163349677285432835989907899987039_<145>] SUBMIT/RESERVE

4. References

• A103092 (On-Line Encyclopedia of Integer Sequences)