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Factorizations of 899...993

About 899...993
- First ten terms
- General term
Prime numbers of the form 899...993
Factorizations of 899...993
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

Mar 10, 2010

Searched up to

n≤100000

Difficulty of search

31.06%

Results

9·10¹-7 = 83 is prime.
9·10⁶-7 = 8999993 is prime.
9·10⁹-7 = 8999999993_<10> is prime.
9·10¹⁰-7 = 89999999993_<11> is prime.
9·10¹²-7 = 8(9)₁₁3_<13> is prime.
9·10¹³-7 = 8(9)₁₂3_<14> is prime.
9·10²³-7 = 8(9)₂₂3_<24> is prime.
9·10⁶¹-7 = 8(9)₆₀3_<62> is prime.
9·10¹⁹⁴-7 = 8(9)₁₉₃3_<195> is prime. (searched by Makoto Kamada / Nov 29, 2004) (certified by Makoto Kamada / PPSIQS / Jan 5, 2005)
9·10²³³-7 = 8(9)₂₃₂3_<234> is prime. (searched by Makoto Kamada / Nov 29, 2004) (certified by Makoto Kamada / PPSIQS / Jan 5, 2005)
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)
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)
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)
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)
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)
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)
9·10³⁷¹³-7 = 8(9)₃₇₁₂3_<3714> is PRP. (Makoto Kamada / PFGW / Dec 18, 2004)
9·10⁶⁷⁸⁹-7 = 8(9)₆₇₈₈3_<6790> is PRP. (Makoto Kamada / PFGW / Dec 25, 2004)
9·10⁷²⁵⁴-7 = 8(9)₇₂₅₃3_<7255> is PRP. (Makoto Kamada / PFGW / Dec 29, 2004)
9·10⁷⁷⁶⁵-7 = 8(9)₇₇₆₄3_<7766> is PRP. (Makoto Kamada / PFGW / Dec 29, 2004)
9·10⁹⁰²⁵-7 = 8(9)₉₀₂₄3_<9026> is PRP. (Makoto Kamada / PFGW / Jan 8, 2005)
9·10¹⁰⁸⁵⁵-7 = 8(9)₁₀₈₅₄3_<10856> is PRP. (Sinkiti Sibata / PFGW / Nov 4, 2007)
9·10²³⁶⁴⁰-7 = 8(9)₂₃₆₃₉3_<23641> is PRP. (Dmitry Domanov / Prime95 v25.11, pfgw / Mar 8, 2010)
9·10³¹⁴⁴⁰-7 = 8(9)₃₁₄₃₉3_<31441> is PRP. (Dmitry Domanov / Prime95 v25.11, pfgw / Mar 8, 2010)
9·10³¹⁸³⁹-7 = 8(9)₃₁₈₃₈3_<31840> is PRP. (Dmitry Domanov / Prime95 v25.11, pfgw / Mar 8, 2010)
9·10³²²⁸⁷-7 = 8(9)₃₂₂₈₆3_<32288> is PRP. (Dmitry Domanov / Prime95 v25.11, pfgw / Mar 8, 2010)

3. Factorizations of 899...993

Last update

Jan 13, 2012

Completed up to

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

Range

n≤200

Terms which have not been factored yet

n=179, 185, 187, 190, 197, 200 (6/200)

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 =: 8(9)₅₀3_<52>; = 17² · 303053 · 102760469330812520066122479952203137078458429_<45>

9·10⁵²-7 =: 8(9)₅₁3_<53>; = 617 · 3361 · 13461960683_<11> · 1384640841470659_<16> · 2328323800825706481137_<22>

9·10⁵³-7 =: 8(9)₅₂3_<54>; = 257 · 2731 · 2730271 · 1107026068697_<13> · 194441495124557_<15> · 2181901445423281_<16>

9·10⁵⁴-7 =: 8(9)₅₃3_<55>; = 1156997 · 1469179 · 5294629371545575527506732661455484247697311_<43>

9·10⁵⁵-7 =: 8(9)₅₄3_<56>; = 1595289607_<10> · 76474336411677317_<17> · 737712693767839975691599501747_<30>

9·10⁵⁶-7 =: 8(9)₅₅3_<57>; = 19 · 38064163680249424816411_<23> · 1244436143416699013384483692272377_<34>

9·10⁵⁷-7 =: 8(9)₅₆3_<58>; = 53 · 14667123451153_<14> · 44590576184581379839_<20> · 259644189592931992527643_<24>

9·10⁵⁸-7 =: 8(9)₅₇3_<59>; = 4231 · 24419 · 41515165640477_<14> · 20982867305985629592625867628978277881_<38>

9·10⁵⁹-7 =: 8(9)₅₈3_<60>; = 61 · 181 · 199 · 449 · 593 · 1538437965218539798708007408281349027216862982511_<49>

9·10⁶⁰-7 =: 8(9)₅₉3_<61>; = 931990420483693_<15> · 9656751616963076551941680487833418652305879101_<46>

9·10⁶¹-7 =: 8(9)₆₀3_<62>; = definitely prime number

9·10⁶²-7 =: 8(9)₆₁3_<63>; = 6553 · 13250766851189015597542931_<26> · 10364809607688328974145571574517051_<35>

9·10⁶³-7 =: 8(9)₆₂3_<64>; = 2969 · 4615291 · 209897257 · 170019792081371_<15> · 3516986807500121_<16> · 5233066331801641_<16>

9·10⁶⁴-7 =: 8(9)₆₃3_<65>; = 31 · 193 · 19489 · 64411397793914660436341_<23> · 11983156385596497470624913966200779_<35>

9·10⁶⁵-7 =: 8(9)₆₄3_<66>; = 28477 · 3408318076147_<13> · 9272741572275731948360977948814948957874962223647_<49>

9·10⁶⁶-7 =: 8(9)₆₅3_<67>; = 101311949 · 88834536190790288715105066234586011172285314538761859176157_<59>

9·10⁶⁷-7 =: 8(9)₆₆3_<68>; = 17 · 3925889327117306563949989_<25> · 1348514236122437171783930286890948195647861_<43>

9·10⁶⁸-7 =: 8(9)₆₇3_<69>; = 2239 · 24107 · 16674209276110880749705056396529593117983203253812608899955541_<62>

9·10⁶⁹-7 =: 8(9)₆₈3_<70>; = 23 · 391304347826086956521739130434782608695652173913043478260869565217391_<69>

9·10⁷⁰-7 =: 8(9)₆₉3_<71>; = 53 · 2203 · 41721353 · 4667317181_<10> · 1109998406431_<13> · 3566186797560116503238928077107754269_<37>

9·10⁷¹-7 =: 8(9)₇₀3_<72>; = 587 · 3299 · 2086577 · 116162821 · 1917434452242125040485081748409927752483794566690933_<52>

9·10⁷²-7 =: 8(9)₇₁3_<73>; = 859 · 8419 · 1402709784884641_<16> · 887198930441398371296360402386507058010071975542313_<51>

9·10⁷³-7 =: 8(9)₇₂3_<74>; = 577 · 33037 · 313151771 · 62245170469_<11> · 12758621487819479_<17> · 18984615547684073234135295828317_<32>

9·10⁷⁴-7 =: 8(9)₇₃3_<75>; = 19 · 15334860677681731423_<20> · 3088937164037708421559949570368204959659123615233580189_<55>

9·10⁷⁵-7 =: 8(9)₇₄3_<76>; = 107981 · 34645789 · 8452984712082679_<16> · 284599822377750208940599462415807344841270317063_<48>

9·10⁷⁶-7 =: 8(9)₇₅3_<77>; = 197 · 51417547 · 62450111 · 20902061156533_<14> · 22231066131117421759_<20> · 306183871590184218075442931_<27>

9·10⁷⁷-7 =: 8(9)₇₆3_<78>; = 4787412431419_<13> · 9572930986839253860842860383569_<31> · 19637976601995850451812419925821163_<35> (Makoto Kamada / msieve 0.81 / 1 minutes)

9·10⁷⁸-7 =: 8(9)₇₇3_<79>; = 29 · 281 · 99623 · 687707 · 1603249 · 16547411 · 19199909 · 31647902285474629463385388915403499874414487_<44>

9·10⁷⁹-7 =: 8(9)₇₈3_<80>; = 31 · 3931 · 1961471469667_<13> · 1489556428853252065481506534061_<31> · 252777733809051042510627160716499_<33>

9·10⁸⁰-7 =: 8(9)₇₉3_<81>; = 223 · 557 · 136333 · 24991979 · 11251141385453_<14> · 16308863265043_<14> · 11589388958273519680856002091406734971_<38>

9·10⁸¹-7 =: 8(9)₈₀3_<82>; = 195760283 · 63078669271237_<14> · 728845375474101807285300781953461969406930066225944407957183_<60>

9·10⁸²-7 =: 8(9)₈₁3_<83>; = 3329 · 27035145689396215079603484529888855512165815560228296785821568038449984980474617_<80>

9·10⁸³-7 =: 8(9)₈₂3_<84>; = 17 · 53 · 83 · 123707 · 24154932913_<11> · 6837637450591_<13> · 42049390908982969_<17> · 14007922697293690593254196391394339_<35>

9·10⁸⁴-7 =: 8(9)₈₃3_<85>; = 2460043 · 17754601 · 462084737 · 445930595549615608997917209874756352721133615668023076371690323_<63>

9·10⁸⁵-7 =: 8(9)₈₄3_<86>; = 35281 · 89658182401_<11> · 178071489654670298983_<21> · 159778117883200444491118378129099058561979659252591_<51>

9·10⁸⁶-7 =: 8(9)₈₅3_<87>; = 653740973 · 19321136458939597512041299_<26> · 71253161142181477236070250973511702994228555432462959_<53>

9·10⁸⁷-7 =: 8(9)₈₆3_<88>; = 24213892169609_<14> · 2546150484433285848884197116341593_<34> · 145980160671059359421302969277919938950489_<42> (Makoto Kamada / msieve 0.83 / 9.5 minutes)

9·10⁸⁸-7 =: 8(9)₈₇3_<89>; = 5737 · 2730224921_<10> · 32428952447_<11> · 44010331139998721_<17> · 1354451509234875550609003_<25> · 2972406589748367709819669_<25>

9·10⁸⁹-7 =: 8(9)₈₈3_<90>; = 1433 · 4783101992794033_<16> · 131306636683864008664877819453723561118073999554515651299297780880066737_<72>

9·10⁹⁰-7 =: 8(9)₈₉3_<91>; = 400260503 · 22485356243106505065277450071060346416443692921657073918182729111295800275352174831_<83>

9·10⁹¹-7 =: 8(9)₉₀3_<92>; = 23 · 449 · 72843863 · 21709335236231_<14> · 47820557697466403_<17> · 1591998561797473609405739_<25> · 72388825562933445729016559_<26>

9·10⁹²-7 =: 8(9)₉₁3_<93>; = 19 · 2222921 · 2592719 · 28489831 · 3405203237224919964164302378007_<31> · 84718160814355196926074187190089269343909_<41> (Makoto Kamada / msieve 0.83 / 4.3 minutes)

9·10⁹³-7 =: 8(9)₉₂3_<94>; = 3038766889_<10> · 85610088419_<11> · 34595545127810416261578469644387860475288120433778789515166544632779921723_<74>

9·10⁹⁴-7 =: 8(9)₉₃3_<95>; = 31 · 47 · 317 · 569 · 3727 · 8537 · 6928517 · 763440435724467257952628446906247_<33> · 2034844887234688044040269293005960665313_<40> (Makoto Kamada / msieve 0.83 / 4.7 minutes)

9·10⁹⁵-7 =: 8(9)₉₄3_<96>; = 1194573351918499376609_<22> · 753407062491883834740246764193083836545273035497250653710655350316236317977_<75>

9·10⁹⁶-7 =: 8(9)₉₅3_<97>; = 53 · 59 · 367 · 1291 · 6074664843579651527512711558479908510741720836416093561242761926313722830075197756377347_<88>

9·10⁹⁷-7 =: 8(9)₉₆3_<98>; = 179 · 7216035925321271_<16> · 69677216312777739656044295307979533123700507474608057068550974780959397438380277_<80>

9·10⁹⁸-7 =: 8(9)₉₇3_<99>; = 859 · 20865827 · 50212719510705002347050467277299825456184999045640036446817653141163429602617765772232201_<89>

9·10⁹⁹-7 =: 8(9)₉₈3_<100>; = 17 · 1987 · 14543 · 262027 · 290516931203304609450113_<24> · 240671255931226803033040927898839013903307752914346444123063719_<63>

9·10¹⁰⁰-7 =: 8(9)₉₉3_<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> · 1230572333966178569213783745709380647003_<40> · 2985665619912987071009965308740715306903703470898269719229303606605231543658298741768182276250657874540761_<106> (Sinkiti Sibata / Msieve 1.40 snfs / May 13, 2010)

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> · 251708125395634031980166970606249136674893651112787_<51> · 22566849394309859194946786232536651024766683710075427312106529413911041167911179333_<83> (Warut Roonguthai / Msieve 1.47 snfs / Sep 26, 2011)

9·10¹⁷⁶-7 =: 8(9)₁₇₅3_<177>; = 131 · 859 · 4218701 · 3842326693_<10> · 5266803491_<10> · 1425412813104737_<16> · 6570577352524454280361407329198116089534862000482006847_<55> · 10002618626491237257044328548099948893728032266318767226567438548309828853181_<77> (Warut Roonguthai / Msieve 1.48 snfs / Oct 20, 2011)

9·10¹⁷⁷-7 =: 8(9)₁₇₆3_<178>; = 256408211102806553939_<21> · 305398083771533035043258313436922481348866163347550983513663_<60> · 114932875645115465637330837941543017125838642645103637831465181873242210223610362729436008275705149_<99> (Robert Backstrom / Msieve 1.44 snfs / Jan 13, 2012)

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> · 2977363295566134355716987326447671187290847_<43> · 11028352820741991810400348173207780872206580956330420554196387180105586020050881417161266972915311_<98> (Makoto Kamada / GMP-ECM 6.1.3 B1=50000, sigma=3272108598 for P32 / Oct 13, 2007) (Rich Dickerson / GMP-ECM 6.3 [config GMP 5.0.1] [ECM] B1=11000000, sigma=916485008 for P43 / Feb 28, 2011)

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> · 2455524626025464022288068323784527_<34> · 1613379861317499642941797679884392489924869887710630236149338813585946718446408151377883594843543655814671126354176321_<118> (Rich Dickerson / GMP-ECM 6.3 [config GMP 5.0.1] [ECM] B1=3000000, sigma=4163344250 for P34 / Feb 28, 2011)

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 · 4417356837034719126053932314339876647693_<40> · 2521535447519712965500829712864415465809253_<43> · 36922297982483569405858068032116807465473204184283136830835962230083619343236636136201293780492921_<98> (matsui / Msieve 1.46 snfs / Jun 28, 2010)

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> · 25313282195995488001015974270922753793617_<41> · 2238706474418559773565349675671260600341989139293305774021353476716466289221789053537675178434163005204076311296379271668194297_<127> (Rich Dickerson / GMP-ECM 6.3 [config GMP 5.0.1] [ECM] B1=11000000, sigma=1287001053 for P41 / Mar 1, 2011)

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> · 4417115504705009301556717078603793892803_<40> · 50211444026482936981708622911020529833217_<41> · 49459599680436889739968648765959533378468882314170304438562372871450551_<71> (Rich Dickerson / GMP-ECM 6.3 [config GMP 5.0.1] [ECM] B1=11000000, sigma=3970191681 for P40 / Mar 2, 2011) (Dmitry Domanov / Msieve 1.40 gnfs for P41 x P71 / Mar 4, 2011)

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 - OEIS (The OEIS Foundation Inc.)