Factorizations of 799...997

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Factorizations of 799...997	2008-11-14(Fri) 22:08

Last update

Nov 14, 2008 22:08 JST

Sequence

77, 797, 7997, 79997, 799997, ...

General term

8·10ⁿ-3

Room for prime numbers

upper limit of periods: 10000
upper limit of periodical factors: 4294967296
checked terms: 100000000
terms divided by periodical factors: 87119797
room for prime numbers: 12.88%

Prime numbers

8·10²-3 = 797 is prime. (Jean Claude Rosa / Oct 14, 2002)
8·10⁴-3 = 79997 is prime. (Jean Claude Rosa / Oct 14, 2002)
8·10²⁸-3 = 7(9)₂₇7_<29> is prime. (Jean Claude Rosa / Oct 14, 2002)
8·10¹⁵⁶-3 = 7(9)₁₅₅7_<157> is prime. (Jean Claude Rosa / Oct 14, 2002)
8·10³²²-3 = 7(9)₃₂₁7_<323> is prime. (Patrick De Geest / Dec 2, 2002)
8·10³⁵²-3 = 7(9)₃₅₁7_<353> is prime. (Patrick De Geest / Dec 2, 2002)
8·10¹²¹²-3 = 7(9)₁₂₁₁7_<1213> is prime. (Patrick De Geest / Jun 30, 2003)
8·10¹²⁸⁴-3 = 7(9)₁₂₈₃7_<1285> is prime. (Patrick De Geest / Jul 3, 2003)
8·10⁷⁹⁸⁴-3 = 7(9)₇₉₈₃7_<7985> is PRP. (Patrick De Geest / Jan 7, 2003)
8·10¹⁵¹⁹²-3 = 7(9)₁₅₁₉₁7_<15193> is PRP. (Patrick De Geest / Mar 28, 2003)

Searched:

1-50000

References:

Plateau and Depression Primes (Patrick De Geest)

Condition

n≤200

Status

Completed up to n=150. (Nov 23, 2004)
The following numbers are not factored yet. (n≤200)
n= 174, 176, 177, 181, 186, 188, 190, 191, 193, 195, 197, 199, 200 (13/200)

Factorization results

8·10¹-3 =: 77; = 7 · 11

8·10²-3 =: 797; = definitely prime number

8·10³-3 =: 7997; = 11 · 727

8·10⁴-3 =: 79997; = definitely prime number

8·10⁵-3 =: 799997; = 11 · 72727

8·10⁶-3 =: 7999997; = 73 · 109589

8·10⁷-3 =: 79999997; = 7² · 11² · 103 · 131

8·10⁸-3 =: 799999997; = 19 · 42105263

8·10⁹-3 =: 7999999997_<10>; = 11 · 727272727

8·10¹⁰-3 =: 79999999997_<11>; = 164113 · 487469

8·10¹¹-3 =: 799999999997_<12>; = 11 · 179 · 11047 · 36779

8·10¹²-3 =: 7999999999997_<13>; = 5011 · 22853 · 69859

8·10¹³-3 =: 79999999999997_<14>; = 7 · 11 · 17 · 43 · 1327 · 1071053

8·10¹⁴-3 =: 799999999999997_<15>; = 73 · 90217 · 121472717

8·10¹⁵-3 =: 7999999999999997_<16>; = 11 · 59² · 2029 · 5171 · 19913

8·10¹⁶-3 =: 79999999999999997_<17>; = 191 · 418848167539267_<15>

8·10¹⁷-3 =: 799999999999999997_<18>; = 11 · 72727272727272727_<17>

8·10¹⁸-3 =: 7999999999999999997_<19>; = 23 · 6875543 · 50588889773_<11>

8·10¹⁹-3 =: 79999999999999999997_<20>; = 7 · 11 · 1038961038961038961_<19>

8·10²⁰-3 =: 799999999999999999997_<21>; = 47 · 833999237 · 20409223223_<11>

8·10²¹-3 =: 7999999999999999999997_<22>; = 11 · 61 · 4386233 · 2718164704379_<13>

8·10²²-3 =: 79999999999999999999997_<23>; = 29 · 73 · 887 · 42603522565754543_<17>

8·10²³-3 =: 799999999999999999999997_<24>; = 11 · 702077 · 103588741302268451_<18>

8·10²⁴-3 =: 7999999999999999999999997_<25>; = 577 · 158519 · 87464707853717419_<17>

8·10²⁵-3 =: 79999999999999999999999997_<26>; = 7 · 11 · 1685897 · 616266022752895913_<18>

8·10²⁶-3 =: 799999999999999999999999997_<27>; = 19 · 4157 · 10128761885469024980059_<23>

8·10²⁷-3 =: 7999999999999999999999999997_<28>; = 11 · 67 · 71 · 152884744013606742217211_<24>

8·10²⁸-3 =: 79999999999999999999999999997_<29>; = definitely prime number

8·10²⁹-3 =: 799999999999999999999999999997_<30>; = 11² · 17 · 181 · 283 · 1441417207_<10> · 5267456802661_<13>

8·10³⁰-3 =: 7999999999999999999999999999997_<31>; = 73 · 269 · 3594577027_<10> · 113335783809157603_<18>

8·10³¹-3 =: 79999999999999999999999999999997_<32>; = 7 · 11 · 14537 · 602873 · 268907579 · 440854821059_<12>

8·10³²-3 =: 799999999999999999999999999999997_<33>; = 97 · 42937 · 192081949843081052100067973_<27>

8·10³³-3 =: 7999999999999999999999999999999997_<34>; = 11 · 850139 · 13563571158583_<14> · 63071522088371_<14>

8·10³⁴-3 =: 79999999999999999999999999999999997_<35>; = 43 · 8059 · 267887 · 7805093 · 110410570712092991_<18>

8·10³⁵-3 =: 799999999999999999999999999999999997_<36>; = 11 · 113 · 173 · 10243 · 135052501 · 2689322908452187261_<19>

8·10³⁶-3 =: 7999999999999999999999999999999999997_<37>; = 311 · 3218527004999_<13> · 7992312206440002109373_<22>

8·10³⁷-3 =: 79999999999999999999999999999999999997_<38>; = 7 · 11 · 12301 · 84461510361843668078933504508661_<32>

8·10³⁸-3 =: 799999999999999999999999999999999999997_<39>; = 73 · 1051 · 20477 · 31540031 · 16144922502844415308997_<23>

8·10³⁹-3 =: 7999999999999999999999999999999999999997_<40>; = 11 · 197 · 214021 · 248821 · 1931926123_<10> · 35883693675754937_<17>

8·10⁴⁰-3 =: 79999999999999999999999999999999999999997_<41>; = 23 · 2087 · 96479 · 17274556589183231625318294852643_<32>

8·10⁴¹-3 =: 799999999999999999999999999999999999999997_<42>; = 11 · 103 · 414049 · 1705329626392953473958637106275441_<34>

8·10⁴²-3 =: 7999999999999999999999999999999999999999997_<43>; = 160757733359_<12> · 49764324445497172593660020316883_<32>

8·10⁴³-3 =: 79999999999999999999999999999999999999999997_<44>; = 7 · 11 · 359 · 10613 · 5811007 · 46926185215635365245452144469_<29>

8·10⁴⁴-3 =: 799999999999999999999999999999999999999999997_<45>; = 19 · 111341 · 13961401 · 229201897 · 118177298961917675674219_<24>

8·10⁴⁵-3 =: 7999999999999999999999999999999999999999999997_<46>; = 11 · 17 · 10410704650236832499_<20> · 4109303846414314287455869_<25>

8·10⁴⁶-3 =: 79999999999999999999999999999999999999999999997_<47>; = 73 · 1990849517401_<13> · 550463709778305741210846371400989_<33>

8·10⁴⁷-3 =: 799999999999999999999999999999999999999999999997_<48>; = 11 · 2721899 · 14377303 · 3345832681_<10> · 7296631373_<10> · 76123937703607_<14>

8·10⁴⁸-3 =: 7999999999999999999999999999999999999999999999997_<49>; = 37149311 · 85519901 · 6292925146416551_<16> · 400146910631435977_<18>

8·10⁴⁹-3 =: 79999999999999999999999999999999999999999999999997_<50>; = 7² · 11 · 286493 · 2105641 · 2953921 · 83292136460776701620757566651_<29>

8·10⁵⁰-3 =: 799999999999999999999999999999999999999999999999997_<51>; = 29² · 962667931 · 1239207634703_<13> · 797394812856253264481683969_<27>

8·10⁵¹-3 =: 7999999999999999999999999999999999999999999999999997_<52>; = 11² · 1783 · 34327 · 45949 · 910003 · 25834409260936207940268791977091_<32>

8·10⁵²-3 =: 79999999999999999999999999999999999999999999999999997_<53>; = 167 · 4483 · 106857442821250205366647922090238439026475267177_<48>

8·10⁵³-3 =: 799999999999999999999999999999999999999999999999999997_<54>; = 11 · 1871 · 184050121 · 1856863867_<10> · 17749536071461_<14> · 6407968018510253831_<19>

8·10⁵⁴-3 =: 7999999999999999999999999999999999999999999999999999997_<55>; = 73 · 28349 · 1844329 · 2095998598123938806998748683091001851600209_<43>

8·10⁵⁵-3 =: 79999999999999999999999999999999999999999999999999999997_<56>; = 7 · 11 · 43 · 1249 · 179089 · 241112283417144194777_<21> · 448002172917731360802491_<24>

8·10⁵⁶-3 =: 799999999999999999999999999999999999999999999999999999997_<57>; = 481513 · 7639727 · 25497191 · 135368854784709629_<18> · 63007614661799509873_<20>

8·10⁵⁷-3 =: 7999999999999999999999999999999999999999999999999999999997_<58>; = 11 · 2411 · 440551413067_<12> · 684704989910184609252107953077548580133871_<42>

8·10⁵⁸-3 =: 79999999999999999999999999999999999999999999999999999999997_<59>; = 643 · 17491 · 7113189426990801668007354682208037139384636204373669_<52>

8·10⁵⁹-3 =: 799999999999999999999999999999999999999999999999999999999997_<60>; = 11 · 2783063462062571_<16> · 1619956996810020444959_<22> · 16131349706210162823643_<23>

8·10⁶⁰-3 =: 7999999999999999999999999999999999999999999999999999999999997_<61>; = 67 · 149 · 547 · 24077 · 4751663749751_<13> · 18892027915341839_<17> · 677820871973103747149_<21>

8·10⁶¹-3 =: 79999999999999999999999999999999999999999999999999999999999997_<62>; = 7 · 11 · 17 · 2297 · 1056049 · 137213693 · 183614858540163185737618982251426047842477_<42>

8·10⁶²-3 =: 799999999999999999999999999999999999999999999999999999999999997_<63>; = 19 · 23 · 71 · 73 · 6596573 · 30167491 · 1774883191152466891056385519668432489286849_<43>

8·10⁶³-3 =: 7999999999999999999999999999999999999999999999999999999999999997_<64>; = 11 · 307 · 3049 · 3948938680155866350884120173_<28> · 196752886287253782753175027193_<30>

8·10⁶⁴-3 =: 79999999999999999999999999999999999999999999999999999999999999997_<65>; = 4057339339_<10> · 2338206603841_<13> · 330648879097326186989_<21> · 25503437297463750801427_<23>

8·10⁶⁵-3 =: 799999999999999999999999999999999999999999999999999999999999999997_<66>; = 11 · 4308949 · 42340413270663611_<17> · 398630803715089787271515504027683369739393_<42>

8·10⁶⁶-3 =: 7999999999999999999999999999999999999999999999999999999999999999997_<67>; = 47 · 599 · 806170487 · 387534453601_<12> · 909553170918378536355849433194969355957027_<42>

8·10⁶⁷-3 =: 79999999999999999999999999999999999999999999999999999999999999999997_<68>; = 7 · 11 · 1038961038961038961038961038961038961038961038961038961038961038961_<67>

8·10⁶⁸-3 =: 799999999999999999999999999999999999999999999999999999999999999999997_<69>; = 9743 · 474640759594348617097_<21> · 172994483360345104480240658863409571582892507_<45>

8·10⁶⁹-3 =: 7999999999999999999999999999999999999999999999999999999999999999999997_<70>; = 11 · 71389 · 20439638193811810217_<20> · 498416945504950567865486968568501236952904779_<45>

8·10⁷⁰-3 =: 79999999999999999999999999999999999999999999999999999999999999999999997_<71>; = 73 · 653 · 294035215613_<12> · 16774692878549_<14> · 21593862176141_<14> · 15756860690600720747108075789_<29>

8·10⁷¹-3 =: 799999999999999999999999999999999999999999999999999999999999999999999997_<72>; = 11 · 72727272727272727272727272727272727272727272727272727272727272727272727_<71>

8·10⁷²-3 =: 7999999999999999999999999999999999999999999999999999999999999999999999997_<73>; = 18776323 · 51485746227407_<14> · 8275465408257571366920418764372381192733576778106577_<52>

8·10⁷³-3 =: 79999999999999999999999999999999999999999999999999999999999999999999999997_<74>; = 7 · 11² · 59 · 109 · 541 · 5294856448117998175951027423_<28> · 5127156946724306342796681673715309647_<37>

8·10⁷⁴-3 =: 799999999999999999999999999999999999999999999999999999999999999999999999997_<75>; = 337 · 1129 · 873679777 · 1221214704805554671_<19> · 1970705986635077768564170198800665586755467_<43>

8·10⁷⁵-3 =: 7999999999999999999999999999999999999999999999999999999999999999999999999997_<76>; = 11 · 103 · 1561303 · 51522841 · 2407841111071199_<16> · 36454005554487738346074037396578539426551217_<44>

8·10⁷⁶-3 =: 79999999999999999999999999999999999999999999999999999999999999999999999999997_<77>; = 43 · 22613 · 68141 · 2056277 · 15059136226664377_<17> · 38991789394010917755706157680559521636090147_<44>

8·10⁷⁷-3 =: 799999999999999999999999999999999999999999999999999999999999999999999999999997_<78>; = 11 · 17 · 163 · 90481 · 30887693 · 1851091657631_<13> · 1029644471140484629_<19> · 4927228428152600732314178082611_<31>

8·10⁷⁸-3 =: 7999999999999999999999999999999999999999999999999999999999999999999999999999997_<79>; = 29 · 73 · 173 · 2399 · 2903 · 23880149 · 144252685506029_<15> · 4209639973400203_<16> · 216291697009998732906158121647_<30>

8·10⁷⁹-3 =: 79999999999999999999999999999999999999999999999999999999999999999999999999999997_<80>; = 7 · 11 · 16963 · 18061 · 86211959137751274984110047_<26> · 39335737101723568413281405780594260713717241_<44>

8·10⁸⁰-3 =: 799999999999999999999999999999999999999999999999999999999999999999999999999999997_<81>; = 19 · 1282153 · 32839499777245568073471156061635964539415548033576910744743617304560950871_<74>

8·10⁸¹-3 =: 7999999999999999999999999999999999999999999999999999999999999999999999999999999997_<82>; = 11 · 61 · 211269037325308161335531_<24> · 368448302808973994661773573_<27> · 153163419250822558588932458389_<30>

8·10⁸²-3 =: 79999999999999999999999999999999999999999999999999999999999999999999999999999999997_<83>; = 2513570713_<10> · 31827232703757238597329248878784179245805844969677604610123415294582961669_<74>

8·10⁸³-3 =: 799999999999999999999999999999999999999999999999999999999999999999999999999999999997_<84>; = 11 · 223 · 964914136638596471_<18> · 6437147579364228239_<19> · 52506165564812631018129483552379593885370321_<44>

8·10⁸⁴-3 =: 7999999999999999999999999999999999999999999999999999999999999999999999999999999999997_<85>; = 23 · 1373 · 7829 · 134672357 · 240274044895121113938652521979124061944335098344195654389606460522831_<69>

8·10⁸⁵-3 =: 79999999999999999999999999999999999999999999999999999999999999999999999999999999999997_<86>; = 7 · 11 · 2879 · 15971 · 21523 · 2877053 · 6945557 · 189229804663_<12> · 649733198994574499107_<21> · 427310082427959235421336443_<27>

8·10⁸⁶-3 =: 799999999999999999999999999999999999999999999999999999999999999999999999999999999999997_<87>; = 73 · 10336209623_<11> · 409857191927_<12> · 58294731727997_<14> · 3501861764446903529657107_<25> · 12671993802043715734496371_<26>

8·10⁸⁷-3 =: 7999999999999999999999999999999999999999999999999999999999999999999999999999999999999997_<88>; = 11 · 15866704284377511309003578486506369073_<38> · 45836407752856781636888417739721097502169533126599_<50> (Tetsuya Kobayashi)

8·10⁸⁸-3 =: 79999999999999999999999999999999999999999999999999999999999999999999999999999999999999997_<89>; = 27225571 · 2938414037303386584619290445735738655398632410684793351074252951388971786854351007_<82>

8·10⁸⁹-3 =: 799999999999999999999999999999999999999999999999999999999999999999999999999999999999999997_<90>; = 11 · 95401 · 26778635757121_<14> · 833628490249913_<15> · 662426232751489640280070387_<27> · 51552039964643361168497652077_<29>

8·10⁹⁰-3 =: 7999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997_<91>; = 410080876317578982031342902685566416497267_<42> · 19508346918875970808229263506124178004728128266191_<50> (Tetsuya Kobayashi)

8·10⁹¹-3 =: 79999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997_<92>; = 7³ · 11 · 839 · 70313 · 2998388761643421636595864302192113_<34> · 119871972422910162663187380179635946235373724879_<48> (Tetsuya Kobayashi)

8·10⁹²-3 =: 799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997_<93>; = 100363 · 4282609 · 10151801299_<11> · 171887379263300357_<18> · 4514297919260045281_<19> · 236281985472994665020340019060059577_<36>

8·10⁹³-3 =: 7999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997_<94>; = 11 · 17 · 67 · 1013 · 7669 · 493063577304940220874441998239330259_<36> · 166694961201253194359826421791982235906460787991_<48> (Tetsuya Kobayashi)

8·10⁹⁴-3 =: 79999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997_<95>; = 73 · 575407747 · 2226182876927_<13> · 855520822285616163928271182513463358251870238048282652197793795288239481_<72>

8·10⁹⁵-3 =: 799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997_<96>; = 11³ · 19843 · 40219554708866530905007748680713598679_<38> · 753125480160609385912762466515386522491058120282371_<51> (Tetsuya Kobayashi)

8·10⁹⁶-3 =: 7999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997_<97>; = 1487 · 132169 · 1700327 · 12316793597_<11> · 363054842999_<12> · 2035359973391_<13> · 86791409747812681_<17> · 30306033075244872995210761795249_<32>

8·10⁹⁷-3 =: 79999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997_<98>; = 7 · 11 · 43 · 71 · 16189 · 34259 · 8704889823759703230497891_<25> · 119289207351098457083992543_<27> · 590899089697377973665382400870399_<33>

8·10⁹⁸-3 =: 799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997_<99>; = 19 · 1777 · 102665708377_<12> · 67403372586512920500565426554785470308769_<41> · 3424064387959913203749237946417174157087063_<43> (Tetsuya Kobayashi)

8·10⁹⁹-3 =: 7999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997_<100>; = 11 · 727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727_<99>

8·10¹⁰⁰-3 =: 79999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997_<101>; = 2165971 · 5332969553410597271_<19> · 211766180464651487453_<21> · 32704810844958748241871221151473755558563706247075720189_<56>

8·10¹⁰¹-3 =: 7(9)₁₀₀7_<102>; = 11 · 731220293 · 289061882044853_<15> · 987570627149404745204814681661_<30> · 348409570253919086257709519734912023378032075083_<48>

8·10¹⁰²-3 =: 7(9)₁₀₁7_<103>; = 73 · 140617 · 264749 · 1692458427409_<13> · 388492551188257_<15> · 254622826156665026653144151_<27> · 17583160083482765887278618529308619991_<38>

8·10¹⁰³-3 =: 7(9)₁₀₂7_<104>; = 7 · 11 · 257 · 20586061 · 175954963 · 6004852092437683_<16> · 185861332941176768553492934464679653991043126353699097395353124866317_<69>

8·10¹⁰⁴-3 =: 7(9)₁₀₃7_<105>; = 1733 · 118603 · 359949797 · 64736621297033683_<17> · 9962143565252214529_<19> · 16766831181825177967108531669142797135970696767756757_<53>

8·10¹⁰⁵-3 =: 7(9)₁₀₄7_<106>; = 11 · 30187 · 1149482788235839313_<19> · 1568870680007713045751_<22> · 13359423813592934948447023962703496239264529159215448414180467_<62>

8·10¹⁰⁶-3 =: 7(9)₁₀₅7_<107>; = 23 · 29 · 433 · 1936223 · 219065323 · 1136866777_<10> · 5041912537744079_<16> · 113931119001575174079661562812248376533783541929876639592088861_<63>

8·10¹⁰⁷-3 =: 7(9)₁₀₆7_<108>; = 11 · 4457 · 27540194436496361717_<20> · 592499059972039530707186550116019369073875410143522873501919648686305146032353774883_<84>

8·10¹⁰⁸-3 =: 7(9)₁₀₇7_<109>; = 3578014122887_<13> · 7502688511277086788769993_<25> · 298010125453321616266069509344343364607187762478745029742975876975544067_<72> (Tetsuya Kobayashi / GMP-ECM 5.0.1 B1=250000)

8·10¹⁰⁹-3 =: 7(9)₁₀₈7_<110>; = 7 · 11 · 17² · 103 · 1880108961298970722263677_<25> · 335805960819921874025779978601467_<33> · 55283149119179423641431288984466579988885452937_<47>

8·10¹¹⁰-3 =: 7(9)₁₀₉7_<111>; = 73 · 2264179082947_<13> · 4840122493899731688346798820058921075415755312588052000689185678309888905509921726267032627375687_<97>

8·10¹¹¹-3 =: 7(9)₁₁₀7_<112>; = 11 · 191 · 58797377 · 139211715710923439_<18> · 465189813683902985302990097860422509974847748983682090874561469906472107414902698599_<84>

8·10¹¹²-3 =: 7(9)₁₁₁7_<113>; = 47 · 41381 · 264191874155227_<15> · 155693933827937096900890402412180179340237735859217420699820682801648906470072595380979169973_<93>

8·10¹¹³-3 =: 7(9)₁₁₂7_<114>; = 11 · 575813451087499813391689_<24> · 126303532142081189033536444869921940685208892485675890001473309251876679952566468102190943_<90>

8·10¹¹⁴-3 =: 7(9)₁₁₃7_<115>; = 14401 · 97151 · 20180014318764110709529733198891177281606605005947_<50> · 283353506422560455491626022952603458131321214093901664601_<57> (Robert Backstrom / NFSX v1.8)

8·10¹¹⁵-3 =: 7(9)₁₁₄7_<116>; = 7 · 11 · 293 · 823 · 982211 · 4386589681134188817442505244925974580597443671329717374944864844036780317619665923142803745614981546009_<103>

8·10¹¹⁶-3 =: 7(9)₁₁₅7_<117>; = 19 · 178343032369_<12> · 1045488223133_<13> · 754129107999341_<15> · 299443844655567480218369665910105000885494344476410719564525197495823404682359_<78>

8·10¹¹⁷-3 =: 7(9)₁₁₆7_<118>; = 11² · 4729 · 154585391 · 16203970023914951547993463_<26> · 5581429234155855565737918467756304862814556674324853918198769553401817351481301_<79> (Tetsuya Kobayashi / GMP-ECM 5.0.1 B1=250000)

8·10¹¹⁸-3 =: 7(9)₁₁₇7_<119>; = 43 · 73 · 173497 · 437494986425998651_<18> · 1707909534802514231_<19> · 196593320504315724522038031272948926361868443799145578187751306655468253939_<75>

8·10¹¹⁹-3 =: 7(9)₁₁₈7_<120>; = 11 · 19457 · 898438961759_<12> · 5087163803010135884381639171_<28> · 817818863878224148061658109572414476069079756631959141437864027200232828099_<75> (Tetsuya Kobayashi / GMP-ECM 5.0.1 B1=250000)

8·10¹²⁰-3 =: 7(9)₁₁₉7_<121>; = 7393 · 1776416507227432219_<19> · 609150325515731207975094521985339058446353963471114794644062731329548439458339700448889353353306791_<99>

8·10¹²¹-3 =: 7(9)₁₂₀7_<122>; = 7 · 11 · 173 · 7577 · 29819 · 2222527 · 259071751613_<12> · 21493077448511_<14> · 4856165688857438885471_<22> · 117999267982434023598103_<24> · 3748213119660303920082090901955323_<34>

8·10¹²²-3 =: 7(9)₁₂₁7_<123>; = 1319 · 3643 · 116329 · 88782523 · 16120204349510162241005625526910047021458965298712943419370405673273593694435888924410065756731933875323_<104>

8·10¹²³-3 =: 7(9)₁₂₂7_<124>; = 11 · 134923 · 23747509 · 169479935859497595709769348369121901994846657_<45> · 1339291032099752035354012626956032160100644076552567954973369013873_<67> (Robert Backstrom / NFSX v1.8)

8·10¹²⁴-3 =: 7(9)₁₂₃7_<125>; = 598219 · 231229510373_<12> · 578344386896551876424055033586594635321666980038501347740146217017691764340353783975853924813452877953205131_<108>

8·10¹²⁵-3 =: 7(9)₁₂₄7_<126>; = 11 · 17 · 5171 · 165343 · 1903802445028509436311978593088659_<34> · 2628246829531406566204573164793634812678711638004816247811797506744217408659971953_<82> (Robert Backstrom / NFSX v1.8)

8·10¹²⁶-3 =: 7(9)₁₂₅7_<127>; = 67 · 73 · 184608132816672681786172247739144830166962789464620671_<54> · 8860158568494478128441791567377266471830463777621250791813390929614777_<70> (Robert Backstrom / NFSX v1.8)

8·10¹²⁷-3 =: 7(9)₁₂₆7_<128>; = 7 · 11 · 16375189 · 77788543897166897_<17> · 9667561238242386581397179873_<28> · 8842861089219230274677991611281_<31> · 9540860893966742924551880875813662574802509_<43>

8·10¹²⁸-3 =: 7(9)₁₂₇7_<129>; = 23² · 97 · 1291 · 1579 · 128025235665163_<15> · 451072784641943159_<18> · 16991615592022849177_<20> · 7794303727623691400485002963235183098707770480262817529208432251969_<67>

8·10¹²⁹-3 =: 7(9)₁₂₈7_<130>; = 11 · 3533 · 94613 · 174240026274937954868596205966346539_<36> · 1340224664121826465384640209296892877_<37> · 9317026208582964479103149529209900365502822144521_<49> (Robert Backstrom / GMP-ECM 5.0c, PPSIQS Ver 1.1)

8·10¹³⁰-3 =: 7(9)₁₂₉7_<131>; = 687731329434411749_<18> · 177173994627664621193408681631137935369_<39> · 656555132921820909854194460233514402563373615925039530483754232952207253937_<75> (Robert Backstrom / NFSX v1.8)

8·10¹³¹-3 =: 7(9)₁₃₀7_<132>; = 11 · 59 · 18307 · 67456549 · 98771077663549_<14> · 1719538318695931284127_<22> · 5877089964121103742259978798082669798981198154886952864946412192627246207476963977_<82>

8·10¹³²-3 =: 7(9)₁₃₁7_<133>; = 71 · 4099 · 189754169083_<12> · 18929410406627957_<17> · 821550924829002378496629413_<27> · 9315170691073107594795257549128707523555581408999974527096671250911606931_<73>

8·10¹³³-3 =: 7(9)₁₃₂7_<134>; = 7² · 11 · 661 · 4964171 · 1430293931892361_<16> · 52566303615964003_<17> · 1279577860309796828166617668663_<31> · 470168551419860188127666529888198297161248346571113238775877_<60>

8·10¹³⁴-3 =: 7(9)₁₃₃7_<135>; = 19 · 29 · 73 · 11838275181160969_<17> · 1680068917292459588134963647816070317678612527222092087202918182439819965556794327318414753027838572717707460209931_<115>

8·10¹³⁵-3 =: 7(9)₁₃₄7_<136>; = 11 · 22082949386342021046092591150456370047312177118583_<50> · 32933677225313695784920239562206118499712985282520656777343727600910706872098489353569_<86> (Robert Backstrom / NFSX v1.8)

8·10¹³⁶-3 =: 7(9)₁₃₅7_<137>; = 1217797251394238108616742402333715863565219418129129381047_<58> · 65692380162961593262803328038291158319994419810107776881488006468756954660207851_<80> (Robert Backstrom / NFSX v1.8)

8·10¹³⁷-3 =: 7(9)₁₃₆7_<138>; = 11 · 131 · 197 · 883 · 12453667682830016319206771_<26> · 1228674952129757807950215456430758589391_<40> · 208576223075704433769061699625625177474169896880597192631906025247_<66> (Tetsuya Kobayashi / GMP-ECM 5.0.1 B1=250000) (Robert Backstrom / NFSX v1.8)

8·10¹³⁸-3 =: 7(9)₁₃₇7_<139>; = 6144068975268199028979994147_<28> · 315601595206762146665224741301_<30> · 1008144847794407683904453219898528931349_<40> · 4092340670449883548966822450823661368849399_<43> (Tetsuya Kobayashi / GMP-ECM 5.0.1 B1=250000) (Robert Backstrom / PPSIQS Ver 1.1)

8·10¹³⁹-3 =: 7(9)₁₃₈7_<140>; = 7 · 11² · 43 · 75504318159299399_<17> · 53181657984068063389700004228999618220712448404117930933_<56> · 547021578430613077164648426239735659338966913240144796636418371_<63> (Greg Childers / GGNFS)

8·10¹⁴⁰-3 =: 7(9)₁₃₉7_<141>; = 83153229581_<11> · 158481252335896074597163_<24> · 309182474768307945213001_<24> · 25415999530073052706287829186734406310741_<41> · 7725220928144249835636196504776622811297039_<43> (Tetsuya Kobayashi / GMP-ECM 5.0.1 B1=250000) (Robert Backstrom / PPSIQS Ver 1.1)

8·10¹⁴¹-3 =: 7(9)₁₄₀7_<142>; = 11 · 17 · 61 · 6959 · 302847772207_<12> · 1185232496324771611590117896185458422554822208631466121153_<58> · 280765521984314571728757275616961371379255644747798552859870702739_<66> (Greg Childers / GGNFS)

8·10¹⁴²-3 =: 7(9)₁₄₁7_<143>; = 73 · 3995881178628072138928884129855049_<34> · 274255004583284979313382971313926192205696087066923364950049153290939498019152313209837881120851118222468461_<108> (Robert Backstrom / GMP-ECM 5.0c)

8·10¹⁴³-3 =: 7(9)₁₄₂7_<144>; = 11 · 103 · 229 · 709 · 20509 · 78893 · 8837334421_<10> · 17624568589002267427_<20> · 17256615341205060046348388996789792766251046535626608081676460105263984807594007655566529396706911_<98>

8·10¹⁴⁴-3 =: 7(9)₁₄₃7_<145>; = 743 · 8928554171737_<13> · 1205924268857598471355344624002131296425955855555475603124980439368489916729456383155151683157811580380468106714828626823435764467_<130>

8·10¹⁴⁵-3 =: 7(9)₁₄₄7_<146>; = 7 · 11 · 526853 · 17889769 · 4083062647_<10> · 5432017963480199442613897882981427399940756907141_<49> · 4970016502471565136207973969627421842489501711999009641490689905361979799_<73> (Greg Childers / GGNFS)

8·10¹⁴⁶-3 =: 7(9)₁₄₅7_<147>; = 1754323 · 18351387702450182134423448389687445402087_<41> · 24849148948365694342391056763061445659228526938352956792115566893567105171128030431206393684524186297_<101> (Greg Childers / GGNFS)

8·10¹⁴⁷-3 =: 7(9)₁₄₆7_<148>; = 11 · 113 · 178183 · 70746163249_<11> · 510563424425013197954859155054695956243011309606886687640298184086546172644092828860143430715220949803965876302545621747260989137_<129>

8·10¹⁴⁸-3 =: 7(9)₁₄₇7_<149>; = 937 · 469509697 · 3746552443_<10> · 284679612965731_<15> · 681256717140653881_<18> · 40972354506545278867_<20> · 6108237681008527297297670602549929791629418926445358065677398129597446303903_<76>

8·10¹⁴⁹-3 =: 7(9)₁₄₈7_<150>; = 11 · 1608596188928145380118735290506229512519831269403_<49> · 45211640576951157081593994501104368226546751365593910539229359833369471085265494438783448596836822709_<101> (Greg Childers / GGNFS)

8·10¹⁵⁰-3 =: 7(9)₁₄₉7_<151>; = 23 · 73 · 787 · 3001 · 39086303 · 54565387 · 16538715983_<11> · 110299780623398063_<18> · 518537645161195178871630302097885755330354742387906359221391621544658647109592504361867462903605381_<99>

8·10¹⁵¹-3 =: 7(9)₁₅₀7_<152>; = 7 · 11 · 547 · 773187643 · 14629262442055574950399532444482723_<35> · 196829145630461974806359025749407327_<36> · 853129957804341508281677086652220527996609373987586466237769116989621_<69> (suberi / GGNFS-0.77.1-20060513-pentium4 / 27.22 hours on Pentium 4 2.26GHz, Windows XP and Cygwin / Jul 5, 2006)

8·10¹⁵²-3 =: 7(9)₁₅₁7_<153>; = 19 · 23333 · 92179 · 128021 · 792541346594378247071_<21> · 192943729476541708348272431613492103305793793377104761864061152881178203390425161577716889573964723974822239716562899_<117>

8·10¹⁵³-3 =: 7(9)₁₅₂7_<154>; = 11 · 678555051229694470501_<21> · 3958588948165095373557421558315246987_<37> · 270752082824477123437977810221348106655215927606556266395115229672809633068748701952340775747521_<96> (Tyler Cadigan / GGNFS-0.77.1-20060722-pentium4 / 49.08 hours on Pentium 4 3.20 GHz, 1 Gig RAM, Windows XP and Cygwin / Mar 4, 2007)

8·10¹⁵⁴-3 =: 7(9)₁₅₃7_<155>; = 8588576999_<10> · 784480437186392279_<18> · 70610194142998400617_<20> · 168158664623364353152183721680035018030581939837815540824744604815045347474351343828802377325985755684604021_<108>

8·10¹⁵⁵-3 =: 7(9)₁₅₄7_<156>; = 11 · 419 · 3769 · 4673 · 61848017547336661_<17> · 159343949326045028311959505695154172775784357647822148420116888582906287705355529650004407133202866639247846253856455544397764369_<129>

8·10¹⁵⁶-3 =: 7(9)₁₅₅7_<157>; = definitely prime number

8·10¹⁵⁷-3 =: 7(9)₁₅₆7_<158>; = 7 · 11 · 17 · 483761069946232439153779120078097_<33> · 436213016886190495057964600551787363398983829_<45> · 289614834453526840832030464582741641059169146938996316648050252271982757768141_<78> (Robert Backstrom / GMP-ECM 5.0 B1=695000, sigma=3786599947 for P33) (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 21.82 hours on / Cygwin on AMD 64 3400+ / Apr 16, 2007)

8·10¹⁵⁸-3 =: 7(9)₁₅₇7_<159>; = 47 · 73 · 163 · 7715837 · 5875170743947_<13> · 18583538108533323516211_<23> · 288901606894446877454247126479_<30> · 5877596490240672347764431371309125446211638140185245222440610912673511074017720739_<82> (Sinkiti Sibata / GGNFS-0.77.1 gnfs for P30 x P82 / 49.27 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Feb 9, 2006)

8·10¹⁵⁹-3 =: 7(9)₁₅₈7_<160>; = 11 · 67 · 670577 · 975797 · 67063998714311628415937_<23> · 322706369546904584701296076853_<30> · 766509222578042688995443012278330648313231897304264682097830867293327761168958384173515604309_<93> (Makoto Kamada / GMP-ECM 5.0.3 P-1 B1=50000000, B2=7260750615 for P30)

8·10¹⁶⁰-3 =: 7(9)₁₅₉7_<161>; = 43² · 431 · 48859 · 4647456722639_<13> · 626627965062020591_<18> · 14692417462058974457446490078935236626410262041_<47> · 48018970537507694295810504240418883922125431142142818767721221650978656473_<74> (Sinkiti Sibata / GGNFS-0.77.1-20060513-pentium4 snfs / 60.89 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Oct 3, 2007)

8·10¹⁶¹-3 =: 7(9)₁₆₀7_<162>; = 11² · 250747836796484155922888159263112237486391376320671_<51> · 26367406923235271511544763325616291041131768180892905671230128715401910040795595415317934691655387997292702267_<110> (Thomas Womack / ggnfs-0.77.0 / 42.61 hours on Athlon64 2.2GHz; Ubuntu-6.06 Linux / Feb 16, 2007)

8·10¹⁶²-3 =: 7(9)₁₆₁7_<163>; = 29 · 13679 · 29123653661_<11> · 1177756235807_<13> · 18582684982752739649026184193527_<32> · 31639375640126474713180482499189810928955600877066429992793337177519348441607341065727252120230349105923_<104> (Makoto Kamada / GMP-ECM 5.0.3 B1=38660, sigma=1114590288)

8·10¹⁶³-3 =: 7(9)₁₆₂7_<164>; = 7 · 11 · 89581069649366015235300671433024669118796111357_<47> · 1328960328047374779277655762328347541585843851574289_<52> · 8727121078291846984177702899623421473981265858116567223440296757_<64> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 56.88 hours on Cygwin on AMD XP 2700+ / May 1, 2007)

8·10¹⁶⁴-3 =: 7(9)₁₆₃7_<165>; = 173 · 409 · 73491283 · 162716727139966157_<18> · 945480434760969666611806408298651677251893105951688123221225014225326029654188795512116326474299198982913173191607306760579230195290191_<135>

8·10¹⁶⁵-3 =: 7(9)₁₆₄7_<166>; = 11 · 643 · 2080321 · 170835896881306372212907_<24> · 3182561785855977203044238169844694301593932722346984825971539448712230330179990134804084241857701520868875673890766844096223120758487_<133>

8·10¹⁶⁶-3 =: 7(9)₁₆₅7_<167>; = 73 · 263 · 4871 · 38923 · 10018333847_<11> · 23260492026164711_<17> · 18999269464663877966125576661_<29> · 5307586564792536865694064565220881786182872779_<46> · 935273344920036478019602994707096223631982392496166617_<54> (Robert Backstrom / GMP-ECM 6.0 B1=542000, sigma=441525674 for P29, GGNFS-0.77.1-20051202-athlon gnfs for P46, P54 / 4.17 hours on Cygwin on AMD 64 X2 6000+ / Jan 29, 2008)

8·10¹⁶⁷-3 =: 7(9)₁₆₆7_<168>; = 11 · 71 · 6263376936571872349805965794179_<31> · 48366409729269876335151280681703887_<35> · 3381322183264895436089159421503432927307771620830849708685343102501831818018700928611257460676963669_<100> (Robert Backstrom / GMP-ECM 5.0 B1=184500, sigma=2920380262 for P31, B1=595000, sigma=3381076491 for P35 / May 7, 2007)

8·10¹⁶⁸-3 =: 7(9)₁₆₇7_<169>; = 102643 · 212708999 · 31216802390543494618868137_<26> · 11737790965871959901403443022111837750775143529338642105106136609333710745396743200350117943530199672906875871854093736637696846033_<131>

8·10¹⁶⁹-3 =: 7(9)₁₆₈7_<170>; = 7 · 11 · 1038961038961038961038961038961038961038961038961038961038961038961038961038961038961038961038961038961038961038961038961038961038961038961038961038961038961038961038961_<169>

8·10¹⁷⁰-3 =: 7(9)₁₆₉7_<171>; = 19 · 283 · 313 · 12939739 · 1329287407066634342417708533382270111835295739849982262342044058728813534610871_<79> · 27635110530649598980061095653778265322075333231930656337853079914922096864534713_<80> (matsui / GGNFS-0.77.1-20060513-prescott snfs / 108.76 hours / Jun 8, 2008)

8·10¹⁷¹-3 =: 7(9)₁₇₀7_<172>; = 11 · 26691667 · 161588169710480273544767312890977071902081766318608100651_<57> · 168621148114846076028702461887800700665968272691501216143530445055605532067216607241423609435786388774673031_<108> (matsui / GGNFS-0.77.1-20060513-prescott snfs / 109.34 hours / Jun 10, 2008)

8·10¹⁷²-3 =: 7(9)₁₇₁7_<173>; = 23 · 143684048127779353484419_<24> · 24207703742255178235071931932139550839596254471848422866327149483674405227141388924922883059025946309102627817630951839899313598455839316093704600281_<149>

8·10¹⁷³-3 =: 7(9)₁₇₂7_<174>; = 11 · 17 · 16714781670858896574412244553011_<32> · 255945602554216888346456751285955406140848117378586326431440585310105420050084687172161632857854573720137957976799629434184623898942614879421_<141> (Robert Backstrom / GMP-ECM 5.0 B1=235000, sigma=3960340668 for P32 / Jun 14, 2007)

8·10¹⁷⁴-3 =: 7(9)₁₇₃7_<175>; = 73 · 383 · 804673696565514864785886378683159_<33> · [355589188251300183599349551020909011128214064008671840079518563313901833340223003003363699479461924771115130765652610192085570225362572237_<138>] (Serge Batalov / GMP-ECM 6.2.1 B1=1000000, sigma=3983113208 for P33 / Jun 27, 2008) SUBMIT/RESERVE

8·10¹⁷⁵-3 =: 7(9)₁₇₄7_<176>; = 7² · 11 · 23845405656471461086656552291936781_<35> · 6224385850428249598700767268572320083297682242040150160618374892128763951342044866744404597104779601236466339628501125503574499709383067683_<139> (matsui / GGNFS-0.77.1-20060513-prescott snfs / Mar 22, 2008)

8·10¹⁷⁶-3 =: 7(9)₁₇₅7_<177>; = 198685219661_<12> · 21288548752753_<14> · 45380551554574099_<17> · [4167816596570806767884749543476102973243798789549235590480929942385915332532540633197392573967359176363484421939597930455852548293931291_<136>] SUBMIT/RESERVE

8·10¹⁷⁷-3 =: 7(9)₁₇₆7_<178>; = 11 · 103 · 183349 · [38510710529011665890683872571775143066447193485516653699227894432148910596745266336872815831957205242499609489360638781391722874693412021369574017193308896907535548141741_<170>] SUBMIT/RESERVE

8·10¹⁷⁸-3 =: 7(9)₁₇₇7_<179>; = 677 · 1033 · 1171 · 27047072567_<11> · 3180675130888637_<16> · 17469811656235332389_<20> · 769952797341217906532041_<24> · 23644469941078472407922034471623_<32> · 3570447205507941234905363531766364802864271229525213694347643675221219_<70> (Anton Korobeynikov / GGNFS-0.73.3 gnfs / 14.22 hours for P32 x P70 / Mar 3, 2005)

8·10¹⁷⁹-3 =: 7(9)₁₇₈7_<180>; = 11 · 2287 · 42649 · 34809991995189973693538709161203_<32> · 21419945484484970113106323406290757543570529183837622826942800023741043321685417631628995198896579049469480798741903000665138310309581234043_<140> (Makoto Kamada / GMP-ECM 5.0.3 B1=400000, sigma=380678198)

8·10¹⁸⁰-3 =: 7(9)₁₇₉7_<181>; = 70201 · 160577639 · 469089259 · 1512885747337099865616892936694225102311809167965123927250851680086529146278163585835832280144974735962746894757392672353549278300484432445825887611487283079097_<160>

8·10¹⁸¹-3 =: 7(9)₁₈₀7_<182>; = 7 · 11 · 43 · 109 · 719 · 3957487 · 141114633398330943289_<21> · [552056934044865361997101062240173645064213484476771549628457561155785035389116576331875369436832502037704386844911087811703713768155944225979024759_<147>] SUBMIT/RESERVE

8·10¹⁸²-3 =: 7(9)₁₈₁7_<183>; = 73 · 1997 · 6309192739_<10> · 2562934061538047_<16> · 339373427210982726476783393996509520034351454381934230651459119917039849627229298599441793597037185269430826318546035547683407744842640776969298459771389_<153>

8·10¹⁸³-3 =: 7(9)₁₈₂7_<184>; = 11² · 226697 · 30218717 · 9651233483954052119191095250809783647229477314713555467135274986424752608833450011629646000494860929480156173840428306506791389490137742409929916879264756263793118074593_<169>

8·10¹⁸⁴-3 =: 7(9)₁₈₃7_<185>; = 28099 · 2847076408413110786860742375173493718637673938574326488487134773479483255631873020392184775258906010890067262180148759742339585038613473789102815046798818463290508559023452791914303_<181>

8·10¹⁸⁵-3 =: 7(9)₁₈₄7_<186>; = 11 · 1380647833218789973997_<22> · 3200915410197558946108301126563_<31> · 16456602869353096430189233547034000220094751192335801441349696122224558115436230108977366054340110982446113898104412344324225790271057_<134> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=3050675837 for P31 / Nov 14, 2008)

8·10¹⁸⁶-3 =: 7(9)₁₈₅7_<187>; = 193 · 12578367363901153_<17> · 156000006878613979002967511_<27> · [21124370982845143451667446562664337218266239878088370153264547542320164749883311459787567414877391566673350218968935751046518307242026334957163_<143>] SUBMIT/RESERVE

8·10¹⁸⁷-3 =: 7(9)₁₈₆7_<188>; = 7 · 11 · 301013 · 3451548733646184586841634876105148153199234049562772906947411038596469126047582791975891277250354765279369864553893150664718670087208987522263028636507522801470238956327597017533997_<181>

8·10¹⁸⁸-3 =: 7(9)₁₈₇7_<189>; = 19 · 404467278667_<12> · [104100542562208641642234651136659377755531210598834695776508578463950586891852897185489636616249771223411895970703292703533957100104680834341597160300858384826038509415081711789_<177>] SUBMIT/RESERVE

8·10¹⁸⁹-3 =: 7(9)₁₈₈7_<190>; = 11 · 17 · 59 · 179 · 233 · 911 · 7797534040341034561801_<22> · 2447438347574407777322891484757474160123622473295233877833998475442467427981617865567409961147682962885063450755233804865203712413852038774608562953295620217_<157>

8·10¹⁹⁰-3 =: 7(9)₁₈₉7_<191>; = 29 · 73 · 13633 · 71353 · 118035719 · [329118281681116037832199733835757847125563255745479715410976996469273829153490804679006895529340257351617648445783990112570731112519550566556767282798931399121061717863511_<171>] SUBMIT/RESERVE

8·10¹⁹¹-3 =: 7(9)₁₉₀7_<192>; = 11 · 311 · 46751 · 20396281 · 190592675109365316079561_<24> · [1286734115334833756339427596989670471911721250507876114520324355393079888928171147835758752758049020132864331740448363247276530068064593864101718790926527_<154>] SUBMIT/RESERVE

8·10¹⁹²-3 =: 7(9)₁₉₁7_<193>; = 67 · 122327 · 12420238683256995121_<20> · 78589208954113498267812861027465600120887528622308055719834646123698553174127041604351030160728524020059822208394990211708338223222602869029225099942629607716162607273_<167>

8·10¹⁹³-3 =: 7(9)₁₉₂7_<194>; = 7 · 11 · 971 · 96355451 · 1612852834397924297_<19> · [6885080171360598600548736257249237045576469706623929596359297523807359477794902657729515497831845781549215301441785915905715172207520669230290496668933211249347553_<163>] SUBMIT/RESERVE

8·10¹⁹⁴-3 =: 7(9)₁₉₃7_<195>; = 23 · 1153 · 1511 · 75149 · 265671625814515763621984269827884470483874496670085688679952105189576787533699307651290884223490862532770757232596960051293642098072775141594454718324747775514942400270263335323461617_<183>

8·10¹⁹⁵-3 =: 7(9)₁₉₄7_<196>; = 11 · 22281257 · 7049383397467457_<16> · [4630271772022564854992519669998552956442231980890131275961595009223940624917481635154495945396904561563445557031477520096212636937544853454812940150460746680552817781226623_<172>] SUBMIT/RESERVE

8·10¹⁹⁶-3 =: 7(9)₁₉₅7_<197>; = 348122208247015564853_<21> · 53692831563308082356381236541_<29> · 4279982069611398506676632939468982902225630222235664794737162519462768800768550113816887184754192015522529117655458693215971890631346572097500743389_<148> (Makoto Kamada / GMP-ECM 5.0.3 B1=4000000, sigma=3327474962 for P29)

8·10¹⁹⁷-3 =: 7(9)₁₉₆7_<198>; = 11 · 23873 · [3046423688990605590949075220008910789290297521353526045018526064058674120249959063681679188737371621801731130261268911627056811993770063556014211566509141175081777435901341568832039237937114199_<193>] SUBMIT/RESERVE

8·10¹⁹⁸-3 =: 7(9)₁₉₇7_<199>; = 73 · 1933777 · 25055209 · 3907939103_<10> · 274594104784226441277989_<24> · 2107772382732324042692891491481638540856269839555478017318998202908867329645674733142761762896391061473110408332325314900001925752200940574003752231719_<151>

8·10¹⁹⁹-3 =: 7(9)₁₉₈7_<200>; = 7 · 11 · 399093283 · 2320999996008599_<16> · [1121630224596280345521631904477381272092366638336201654128360211396611345042483527072632047513342244248666600738335614516694011415846703650096091778053435159187168969509120733_<175>] SUBMIT/RESERVE

8·10²⁰⁰-3 =: 7(9)₁₉₉7_<201>; = 341921114543_<12> · 69631751387669_<14> · [33601351655827011242084912323952169852007991904885594144756135278420331180270119952326625588436852361197844905788203152038825930161136696965850320453078931269191292116001037191_<176>] SUBMIT/RESERVE

Factorizations

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