Factorizations of 722...227

[PR]�Ō�t�̍D��ȋ��l��񖞍�:��l�C�̓]�E��ā�6��1�l��o�^��

This is a mirror site. A genuine article is http://homepage2.nifty.com/m_kamada/math/72227.htm.

Since June 16, 2000

English text only.

Factorizations of 722...227	2008-09-08(Mon) 20:39

Last update

Sep 8, 2008 20:39 JST

Sequence

77, 727, 7227, 72227, 722227, ...

General term

(65·10ⁿ+43)/9

Room for prime numbers

upper limit of periods: 10000
upper limit of periodical factors: 4294967296
checked terms: 100000000
terms divided by periodical factors: 89058728
room for prime numbers: 10.94%

Prime numbers

(65·10²+43)/9 = 727 is prime. (Jean Claude Rosa / Oct 14, 2002)
(65·10⁴+43)/9 = 72227 is prime. (Jean Claude Rosa / Oct 14, 2002)
(65·10⁸+43)/9 = 722222227 is prime. (Jean Claude Rosa / Oct 14, 2002)
(65·10²⁸+43)/9 = 7(2)₂₇7_<29> is prime. (Jean Claude Rosa / Oct 14, 2002)
(65·10⁶⁴+43)/9 = 7(2)₆₃7_<65> is prime. (Jean Claude Rosa / Oct 14, 2002)
(65·10⁷²⁴+43)/9 = 7(2)₇₂₃7_<725> is prime. (Patrick De Geest / Nov 29, 2002)
(65·10¹⁷⁸⁶+43)/9 = 7(2)₁₇₈₅7_<1787> is prime. (Patrick De Geest / Jul 9, 2003)
(65·10⁷²⁷⁶+43)/9 = 7(2)₇₂₇₅7_<7277> is PRP. (Patrick De Geest / Nov 30, 2002)
(65·10¹⁹⁴⁶²+43)/9 = 7(2)₁₉₄₆₁7_<19463> is PRP. (Patrick De Geest / Mar 16, 2003)
(65·10²⁴²¹⁴+43)/9 = 7(2)₂₄₂₁₃7_<24215> is PRP. (Patrick De Geest / Apr 21, 2005)

Searched:

1-50000

References:

Plateau and Depression Primes (Patrick De Geest)

Condition

n≤200

Status

Completed up to n=150. (Oct 8, 2004)
The following numbers are not factored yet. (n≤200)
n= 166, 172, 176, 177, 179, 182, 184, 185, 189, 191, 192, 194, 196, 197, 199 (15/200)

Factorization results

(65·10¹+43)/9 =: 77; = 7 · 11

(65·10²+43)/9 =: 727; = definitely prime number

(65·10³+43)/9 =: 7227; = 3² · 11 · 73

(65·10⁴+43)/9 =: 72227; = definitely prime number

(65·10⁵+43)/9 =: 722227; = 11 · 65657

(65·10⁶+43)/9 =: 7222227; = 3 · 1061 · 2269

(65·10⁷+43)/9 =: 72222227; = 7² · 11 · 133993

(65·10⁸+43)/9 =: 722222227; = definitely prime number

(65·10⁹+43)/9 =: 7222222227_<10>; = 3 · 11² · 1453 · 13693

(65·10¹⁰+43)/9 =: 72222222227_<11>; = 89 · 233 · 1489 · 2339

(65·10¹¹+43)/9 =: 722222222227_<12>; = 11 · 17 · 73 · 719 · 73583

(65·10¹²+43)/9 =: 7222222222227_<13>; = 3² · 83 · 9668302841_<10>

(65·10¹³+43)/9 =: 72222222222227_<14>; = 7 · 11 · 937950937951_<12>

(65·10¹⁴+43)/9 =: 722222222222227_<15>; = 19 · 1559 · 24382101287_<11>

(65·10¹⁵+43)/9 =: 7222222222222227_<16>; = 3 · 11 · 23 · 379009 · 25106117

(65·10¹⁶+43)/9 =: 72222222222222227_<17>; = 15161 · 29453 · 161738519

(65·10¹⁷+43)/9 =: 722222222222222227_<18>; = 11 · 67 · 10223 · 95857257277_<11>

(65·10¹⁸+43)/9 =: 7222222222222222227_<19>; = 3 · 2407407407407407409_<19>

(65·10¹⁹+43)/9 =: 72222222222222222227_<20>; = 7 · 11 · 71 · 73² · 311 · 32887 · 242377

(65·10²⁰+43)/9 =: 722222222222222222227_<21>; = 3481835099_<10> · 207425740073_<12>

(65·10²¹+43)/9 =: 7222222222222222222227_<22>; = 3³ · 11 · 693337 · 35072766258643_<14>

(65·10²²+43)/9 =: 72222222222222222222227_<23>; = 701 · 103027421144396893327_<21>

(65·10²³+43)/9 =: 722222222222222222222227_<24>; = 11 · 211 · 10788904453_<11> · 28841534279_<11>

(65·10²⁴+43)/9 =: 7222222222222222222222227_<25>; = 3 · 1021 · 2357891682083650741829_<22>

(65·10²⁵+43)/9 =: 72222222222222222222222227_<26>; = 7 · 11 · 29 · 2351 · 16993 · 809579378968933_<15>

(65·10²⁶+43)/9 =: 722222222222222222222222227_<27>; = 967 · 58061 · 6284401 · 2046896920121_<13>

(65·10²⁷+43)/9 =: 7222222222222222222222222227_<28>; = 3 · 11 · 17 · 73 · 176353923332166684302059_<24>

(65·10²⁸+43)/9 =: 72222222222222222222222222227_<29>; = definitely prime number

(65·10²⁹+43)/9 =: 722222222222222222222222222227_<30>; = 11 · 197 · 509 · 6637 · 15569 · 179563 · 35289439831_<11>

(65·10³⁰+43)/9 =: 7222222222222222222222222222227_<31>; = 3² · 4229 · 5153 · 456023 · 80750229040381753_<17>

(65·10³¹+43)/9 =: 72222222222222222222222222222227_<32>; = 7 · 11² · 2141 · 39826374164618825142794401_<26>

(65·10³²+43)/9 =: 722222222222222222222222222222227_<33>; = 19 · 18089 · 23297180219_<11> · 90198502689797563_<17>

(65·10³³+43)/9 =: 7222222222222222222222222222222227_<34>; = 3 · 11 · 593424806789_<12> · 368800252957803478871_<21>

(65·10³⁴+43)/9 =: 72222222222222222222222222222222227_<35>; = 167 · 257 · 839503681760071_<15> · 2004465785359523_<16>

(65·10³⁵+43)/9 =: 722222222222222222222222222222222227_<36>; = 11 · 73 · 661 · 11831 · 12002213 · 14690483 · 652281382981_<12>

(65·10³⁶+43)/9 =: 7222222222222222222222222222222222227_<37>; = 3 · 21347 · 112774975753380213023254200000347_<33>

(65·10³⁷+43)/9 =: 72222222222222222222222222222222222227_<38>; = 7 · 11 · 23 · 61 · 66261741971_<11> · 10089266692877747606527_<23>

(65·10³⁸+43)/9 =: 722222222222222222222222222222222222227_<39>; = 10241664553_<11> · 21096902542987_<14> · 3342578407123057_<16>

(65·10³⁹+43)/9 =: 7222222222222222222222222222222222222227_<40>; = 3² · 11 · 7723 · 11059 · 22637 · 3657978445769_<13> · 10315107223613_<14>

(65·10⁴⁰+43)/9 =: 72222222222222222222222222222222222222227_<41>; = 47 · 151 · 1300237 · 657785357 · 11898420693846961250099_<23>

(65·10⁴¹+43)/9 =: 722222222222222222222222222222222222222227_<42>; = 11 · 347 · 383 · 1087 · 454485852921097970419706175493211_<33>

(65·10⁴²+43)/9 =: 7222222222222222222222222222222222222222227_<43>; = 3 · 1197609184249_<13> · 2010177810148517642530392046841_<31>

(65·10⁴³+43)/9 =: 72222222222222222222222222222222222222222227_<44>; = 7 · 11 · 17 · 59 · 73 · 14821 · 16883 · 2131727599747_<13> · 24015824047601849_<17>

(65·10⁴⁴+43)/9 =: 722222222222222222222222222222222222222222227_<45>; = 157 · 251 · 1117 · 214591099 · 118209705389_<12> · 646814074238508703_<18>

(65·10⁴⁵+43)/9 =: 7222222222222222222222222222222222222222222227_<46>; = 3 · 11 · 2226569 · 98292583277328865720691889115144805851_<38>

(65·10⁴⁶+43)/9 =: 72222222222222222222222222222222222222222222227_<47>; = 537599 · 972061007 · 138203446226067164094135442391939_<33>

(65·10⁴⁷+43)/9 =: 722222222222222222222222222222222222222222222227_<48>; = 11 · 67033 · 2019799 · 2660041207_<10> · 182302652859890229663356753_<27>

(65·10⁴⁸+43)/9 =: 7222222222222222222222222222222222222222222222227_<49>; = 3³ · 267489711934156378600823045267489711934156378601_<48>

(65·10⁴⁹+43)/9 =: 72222222222222222222222222222222222222222222222227_<50>; = 7² · 11 · 204599 · 14025863 · 25703393 · 944576909 · 1923185613346610797_<19>

(65·10⁵⁰+43)/9 =: 722222222222222222222222222222222222222222222222227_<51>; = 19 · 67 · 307 · 5188346749904872417_<19> · 356184547801368203974870921_<27>

(65·10⁵¹+43)/9 =: 7222222222222222222222222222222222222222222222222227_<52>; = 3 · 11 · 73 · 2687 · 5987 · 7624573868531351_<16> · 24442270512816271821195137_<26>

(65·10⁵²+43)/9 =: 72222222222222222222222222222222222222222222222222227_<53>; = 371830861 · 3473455477_<10> · 25130896237_<11> · 2225131600767053657872943_<25>

(65·10⁵³+43)/9 =: 722222222222222222222222222222222222222222222222222227_<54>; = 11² · 29 · 83 · 211 · 11752409926126647444461152755233265421218946831_<47>

(65·10⁵⁴+43)/9 =: 7222222222222222222222222222222222222222222222222222227_<55>; = 3 · 71 · 89 · 1091 · 36263 · 6577643833567_<13> · 411630821003821_<15> · 3556595852509681_<16>

(65·10⁵⁵+43)/9 =: 72222222222222222222222222222222222222222222222222222227_<56>; = 7 · 11 · 15061973 · 62272780461825150724805504428333389718461913187_<47>

(65·10⁵⁶+43)/9 =: 722222222222222222222222222222222222222222222222222222227_<57>; = 5903 · 11001175777_<11> · 147809383537_<12> · 2601638726810429_<16> · 28920777596330929_<17>

(65·10⁵⁷+43)/9 =: 7222222222222222222222222222222222222222222222222222222227_<58>; = 3² · 11 · 50171087 · 1454059379227846609601098330167857137975737691679_<49>

(65·10⁵⁸+43)/9 =: 72222222222222222222222222222222222222222222222222222222227_<59>; = 691791266813_<12> · 104398863771353172845798970666084788457990288079_<48>

(65·10⁵⁹+43)/9 =: 722222222222222222222222222222222222222222222222222222222227_<60>; = 11 · 17 · 23 · 73 · 696779928532884839729_<21> · 3301284194631636754200781436878231_<34>

(65·10⁶⁰+43)/9 =: 7222222222222222222222222222222222222222222222222222222222227_<61>; = 3 · 877 · 2745048355082562608218252459985641285527260441741627602517_<58>

(65·10⁶¹+43)/9 =: 72222222222222222222222222222222222222222222222222222222222227_<62>; = 7 · 11 · 491 · 56947601 · 33544644710668931022418372630217467988872657544461_<50>

(65·10⁶²+43)/9 =: 722222222222222222222222222222222222222222222222222222222222227_<63>; = 13841 · 611669221 · 3301631645128343665223_<22> · 25837954707249596349566133409_<29>

(65·10⁶³+43)/9 =: 7222222222222222222222222222222222222222222222222222222222222227_<64>; = 3 · 11 · 2039 · 30002731953113776854160057_<26> · 3577493715820944665533470248139853_<34>

(65·10⁶⁴+43)/9 =: 72222222222222222222222222222222222222222222222222222222222222227_<65>; = definitely prime number

(65·10⁶⁵+43)/9 =: 722222222222222222222222222222222222222222222222222222222222222227_<66>; = 11 · 5081 · 38749065463242805427_<20> · 333478419357346977762959070263968850439611_<42>

(65·10⁶⁶+43)/9 =: 7222222222222222222222222222222222222222222222222222222222222222227_<67>; = 3² · 113 · 28097 · 20204063154430939247843591591_<29> · 12509824742169344437976869199453_<32>

(65·10⁶⁷+43)/9 =: 72222222222222222222222222222222222222222222222222222222222222222227_<68>; = 7 · 11 · 73 · 13249 · 53190287 · 18232315529287439272016224929521143749060772818902249_<53>

(65·10⁶⁸+43)/9 =: 722222222222222222222222222222222222222222222222222222222222222222227_<69>; = 19 · 1217 · 956057 · 32669529687368164304004025478652595797758567772752911543657_<59>

(65·10⁶⁹+43)/9 =: 7222222222222222222222222222222222222222222222222222222222222222222227_<70>; = 3 · 11 · 523 · 18912911 · 621272995726254691_<18> · 35613475854052875413971535240022615321053_<41>

(65·10⁷⁰+43)/9 =: 72222222222222222222222222222222222222222222222222222222222222222222227_<71>; = 599 · 245853794699_<12> · 7022828629086217_<16> · 69832089644589837075193962297041456447831_<41>

(65·10⁷¹+43)/9 =: 722222222222222222222222222222222222222222222222222222222222222222222227_<72>; = 11 · 90269303390701_<14> · 727341002869965656025483146599164122339756449590626305757_<57>

(65·10⁷²+43)/9 =: 7222222222222222222222222222222222222222222222222222222222222222222222227_<73>; = 3 · 31996983325096124295658924582021579_<35> · 75238574303947297270595393280406630771_<38>

(65·10⁷³+43)/9 =: 72222222222222222222222222222222222222222222222222222222222222222222222227_<74>; = 7 · 11 · 11559019042007_<14> · 35157876369257_<14> · 2904753516659083_<16> · 794560959019868292378081082003_<30>

(65·10⁷⁴+43)/9 =: 722222222222222222222222222222222222222222222222222222222222222222222222227_<75>; = 761 · 2309 · 15227 · 13067423 · 8153497903_<10> · 253345967627856715526724524328669154240835719021_<48>

(65·10⁷⁵+43)/9 =: 7222222222222222222222222222222222222222222222222222222222222222222222222227_<76>; = 3⁴ · 11² · 17 · 73 · 831111515838658711_<18> · 545728442952044587926199_<24> · 1309160179944834897276261923_<28>

(65·10⁷⁶+43)/9 =: 72222222222222222222222222222222222222222222222222222222222222222222222222227_<77>; = 7894489 · 19858343 · 213670106364882965081_<21> · 2156056062620441203339677442387830046050821_<43>

(65·10⁷⁷+43)/9 =: 722222222222222222222222222222222222222222222222222222222222222222222222222227_<78>; = 11 · 229 · 57691631 · 22847315093_<11> · 3735707355877734816107_<22> · 58226655316925044827108808514970493_<35>

(65·10⁷⁸+43)/9 =: 7222222222222222222222222222222222222222222222222222222222222222222222222222227_<79>; = 3 · 21757524671_<11> · 51251416342199923_<17> · 580537996827083989_<18> · 3718806540428929001073342045130657_<34>

(65·10⁷⁹+43)/9 =: 72222222222222222222222222222222222222222222222222222222222222222222222222222227_<80>; = 7 · 11 · 389 · 2927 · 12619 · 150503 · 433748215487237639892792983971722687682082981112461297825804081_<63>

(65·10⁸⁰+43)/9 =: 722222222222222222222222222222222222222222222222222222222222222222222222222222227_<81>; = 1613919602716883513_<19> · 447495786659030782767206083848610238044471037167027093875751979_<63>

(65·10⁸¹+43)/9 =: 7222222222222222222222222222222222222222222222222222222222222222222222222222222227_<82>; = 3 · 11 · 23² · 29 · 217882283 · 65475876394981176159007166683669769491805334143365375523138972516573_<68>

(65·10⁸²+43)/9 =: 72222222222222222222222222222222222222222222222222222222222222222222222222222222227_<83>; = 9323 · 7746671910567652281692826581810814353987152442585243185908207896838166064809849_<79>

(65·10⁸³+43)/9 =: 722222222222222222222222222222222222222222222222222222222222222222222222222222222227_<84>; = 11 · 67 · 73 · 211 · 40951222971478324481_<20> · 1553571221840893326414342833268451315301840763370981707097_<58>

(65·10⁸⁴+43)/9 =: 7222222222222222222222222222222222222222222222222222222222222222222222222222222222227_<85>; = 3² · 919 · 23159711722050170291339488307822603567_<38> · 37703327208944883362721935806952305341749011_<44> (Tetsuya Kobayashi)

(65·10⁸⁵+43)/9 =: 72222222222222222222222222222222222222222222222222222222222222222222222222222222222227_<86>; = 7 · 11 · 6521 · 23141855137_<11> · 6215380932863384789040782071131688071347100239063140228600623401732663_<70>

(65·10⁸⁶+43)/9 =: 722222222222222222222222222222222222222222222222222222222222222222222222222222222222227_<87>; = 19 · 47 · 11863 · 87041953297011281099024054027659_<32> · 783242472139183315021635905570277287202245913467_<48>

(65·10⁸⁷+43)/9 =: 7222222222222222222222222222222222222222222222222222222222222222222222222222222222222227_<88>; = 3 · 11 · 1879 · 149213 · 12872693011_<11> · 60639282333951095934316060130982988119261181453961884346095139365427_<68>

(65·10⁸⁸+43)/9 =: 72222222222222222222222222222222222222222222222222222222222222222222222222222222222222227_<89>; = 1223 · 59176043 · 462547525079_<12> · 531193134774143_<15> · 4061529891480475702209243538294949358277126864340519_<52>

(65·10⁸⁹+43)/9 =: 722222222222222222222222222222222222222222222222222222222222222222222222222222222222222227_<90>; = 11 · 71 · 341124261131962879607_<21> · 2620413099323655951529661_<25> · 1034516551711431721334214018648834158692621_<43>

(65·10⁹⁰+43)/9 =: 7222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227_<91>; = 3 · 1491307312854537532415586170149883027380046197_<46> · 1614293302699191212658544008385258521628017997_<46> (Tetsuya Kobayashi)

(65·10⁹¹+43)/9 =: 72222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227_<92>; = 7² · 11 · 17 · 73 · 123893779 · 2919162305344346314213661_<25> · 18957758378576416721500939_<26> · 15747643493367019440128369653_<29>

(65·10⁹²+43)/9 =: 722222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227_<93>; = 6301 · 79549 · 28831214845741736322147569_<26> · 49976254047224810825165871923683002362190109194247347166667_<59>

(65·10⁹³+43)/9 =: 7222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227_<94>; = 3² · 11 · 72951739618406285072951739618406285072951739618406285072951739618406285072951739618406285073_<92>

(65·10⁹⁴+43)/9 =: 72222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227_<95>; = 83 · 97 · 251 · 22171 · 8386063729_<10> · 90654116753_<11> · 10562036724971_<14> · 200756055754583504153251544680510039996976722419131_<51>

(65·10⁹⁵+43)/9 =: 722222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227_<96>; = 11 · 65656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565657_<95>

(65·10⁹⁶+43)/9 =: 7222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227_<97>; = 3 · 5669 · 6113 · 2120611 · 4887637 · 6702375971654983710748403018318923695839801752444407067069748750377450052771_<76>

(65·10⁹⁷+43)/9 =: 72222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227_<98>; = 7 · 11² · 61 · 109 · 54217 · 7513766097007_<13> · 84244705693578493783_<20> · 344780754036240918349_<21> · 1083807911626320829867949249235833_<34>

(65·10⁹⁸+43)/9 =: 722222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227_<99>; = 89 · 230383 · 55093262068692954137099310642027333016117_<41> · 639340069033412102757230708400712347056036599248113_<51> (Tetsuya Kobayashi)

(65·10⁹⁹+43)/9 =: 7222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227_<100>; = 3 · 11 · 73 · 9973275410347_<13> · 300605024256772599215517192469561229237797152987423858237763310180625116655165124049_<84>

(65·10¹⁰⁰+43)/9 =: 72222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227_<101>; = 467 · 6869 · 8681 · 1060439743456278011_<19> · 2445708528884356722007942328663702941947374498665193947525406043489780239_<73>

(65·10¹⁰¹+43)/9 =: 7(2)₁₀₀7_<102>; = 11 · 59 · 403721 · 101412297462103_<15> · 339753250002534968606777_<24> · 80000107150766524424168951279733318075359759194481066173_<56>

(65·10¹⁰²+43)/9 =: 7(2)₁₀₁7_<103>; = 3³ · 607 · 62791 · 3047221 · 2303122508552388430738330818335828823739179138641508435433311856257926085724971426028013_<88>

(65·10¹⁰³+43)/9 =: 7(2)₁₀₂7_<104>; = 7 · 11 · 23 · 827 · 172217 · 5579897 · 32111119 · 507249385798423001355998587_<27> · 3150413825511451711218188833115234745515857759461823_<52>

(65·10¹⁰⁴+43)/9 =: 7(2)₁₀₃7_<105>; = 19 · 5843 · 22481 · 63671 · 246341348587_<12> · 676962101678953064831_<21> · 780337172026256360377_<21> · 34925296131366760240854143581119699649_<38>

(65·10¹⁰⁵+43)/9 =: 7(2)₁₀₄7_<106>; = 3 · 11 · 131 · 1063 · 94327348234321726622580598865401_<32> · 16661523944477001391242129013258819713941440597973411682512381706623_<68> (Robert Backstrom / NFSX v1.8)

(65·10¹⁰⁶+43)/9 =: 7(2)₁₀₅7_<107>; = 14947 · 46093 · 20801603723_<11> · 5039471791283090855113467445488451268803379714289955531869049093954675129770652292772319_<88>

(65·10¹⁰⁷+43)/9 =: 7(2)₁₀₆7_<108>; = 11 · 17 · 73 · 3163549 · 18201263446603_<14> · 1374075918857027_<16> · 668681873662218752615526029836963088053451446622462371259615411515733_<69>

(65·10¹⁰⁸+43)/9 =: 7(2)₁₀₇7_<109>; = 3 · 293 · 38718353 · 15689708873_<11> · 214979755920048205355739121388559296466791_<42> · 62914774803310486950412163556455299032296113747_<47> (Robert Backstrom / PPSIQS Ver 1.1)

(65·10¹⁰⁹+43)/9 =: 7(2)₁₀₈7_<110>; = 7 · 11 · 29 · 3001 · 40031 · 94293144138719_<14> · 530768906478039904839518679216876731_<36> · 5379403227545027520050174731537012534065209942041_<49>

(65·10¹¹⁰+43)/9 =: 7(2)₁₀₉7_<111>; = 4933713951548465183_<19> · 824869245799553707120213_<24> · 765298099328356822909207446287_<30> · 231889526867462071669655906963294293399_<39>

(65·10¹¹¹+43)/9 =: 7(2)₁₁₀7_<112>; = 3² · 11 · 2341 · 17850233 · 6789001031437037530814709243197_<31> · 257148783953505682333919152919907306782764531398982001019779417561353_<69> (Tetsuya Kobayashi / GMP-ECM 5.0.1 B1=250000)

(65·10¹¹²+43)/9 =: 7(2)₁₁₁7_<113>; = 260580738872075223762103_<24> · 277158713014770015549845330291382147487327728816773842638037670875883451963971076178351109_<90>

(65·10¹¹³+43)/9 =: 7(2)₁₁₂7_<114>; = 11 · 211 · 1373 · 940794677 · 5291978171_<10> · 4367119645211289082136206831_<28> · 10423586711282728519554853187900243637667305758277831353628247_<62> (Tetsuya Kobayashi / GMP-ECM 5.0.1 B1=250000)

(65·10¹¹⁴+43)/9 =: 7(2)₁₁₃7_<115>; = 3 · 20939 · 2358267097_<10> · 5926179871_<10> · 2759171386537403_<16> · 652151451691134523_<18> · 28688226653435442719_<20> · 159365749109135903354754584162427179683_<39>

(65·10¹¹⁵+43)/9 =: 7(2)₁₁₄7_<116>; = 7 · 11 · 73 · 151 · 1153 · 228984671 · 144145436569_<12> · 36345809625768691_<17> · 198828433014646231_<18> · 309393269597095872847799984539166565706078410791555051_<54>

(65·10¹¹⁶+43)/9 =: 7(2)₁₁₅7_<117>; = 67 · 28881414019727_<14> · 1329771058692547901_<19> · 38051117304541684769_<20> · 214167784463244473372277251_<27> · 34441270045816288415362705500954712537_<38>

(65·10¹¹⁷+43)/9 =: 7(2)₁₁₆7_<118>; = 3 · 11 · 409 · 3413 · 13879 · 21523 · 105097 · 25488767625665410113024115312086091_<35> · 195928300947380079825614713484189866218031494104969760853992673_<63> (Robert Backstrom / NFSX v1.8)

(65·10¹¹⁸+43)/9 =: 7(2)₁₁₇7_<119>; = 929 · 8397157 · 1331230013_<10> · 71622974219_<11> · 3663810489089_<13> · 584502885456107_<15> · 24598420645463933_<17> · 1843276656212788334922173482365248507139264983_<46>

(65·10¹¹⁹+43)/9 =: 7(2)₁₁₈7_<120>; = 11² · 27026917669067_<14> · 220845705349627920305934010991311151412824367550454453855551603008719951611973335995222340844959996104161_<105>

(65·10¹²⁰+43)/9 =: 7(2)₁₁₉7_<121>; = 3² · 15053 · 53309581864244279266755406616785300989999942589681069275391558878792874231214318461600288035771549578321207453827751_<116>

(65·10¹²¹+43)/9 =: 7(2)₁₂₀7_<122>; = 7 · 11 · 412793 · 5792013868498019_<16> · 9200228723563125762187319_<25> · 42640234121569054219476954007807273441155379528160605737752428938620076587_<74> (Tetsuya Kobayashi / GMP-ECM 5.0.1 B1=250000)

(65·10¹²²+43)/9 =: 7(2)₁₂₁7_<123>; = 19 · 157 · 269 · 324363211 · 1569802712787981696839779689091722634812508105349_<49> · 1767618944848290108721881947617442834321478699496350863207359_<61> (Robert Backstrom / NFSX v1.8)

(65·10¹²³+43)/9 =: 7(2)₁₂₂7_<124>; = 3 · 11 · 17 · 73 · 489656981965892089_<18> · 60982530998092447831_<20> · 304913013703923644291359_<24> · 21225616005829848720143683_<26> · 912539065612478519893548992010233_<33>

(65·10¹²⁴+43)/9 =: 7(2)₁₂₃7_<125>; = 71 · 125028188113_<12> · 32333748201597095660233_<23> · 1053400046923857418598570723311_<31> · 238866461276607202815640914308373537756993165766504837660723_<60> (Robert Backstrom / GMP-ECM 5.0c)

(65·10¹²⁵+43)/9 =: 7(2)₁₂₄7_<126>; = 11 · 23 · 9011 · 10487 · 1617746327_<10> · 27602185700793132206550359_<26> · 676506809620781241551427159146168175636410147966770847279791525560865525125667459_<81>

(65·10¹²⁶+43)/9 =: 7(2)₁₂₅7_<127>; = 3 · 248293351 · 2636286056689_<13> · 3677832701312456984218984335781951944271838345435637698673841953617062457675981672823754796326149749556631_<106>

(65·10¹²⁷+43)/9 =: 7(2)₁₂₆7_<128>; = 7 · 11 · 197 · 1151 · 20929 · 848213723470762390591708158765283537_<36> · 233015493888124816031794734559295936659564484222671818789049587239389147434224221_<81> (Robert Backstrom / NFSX v1.8)

(65·10¹²⁸+43)/9 =: 7(2)₁₂₇7_<129>; = 198827 · 1477711 · 3593203 · 21320690248195705397_<20> · 295003023813199542352933723_<27> · 6666042228931588288375473319_<28> · 16316553860106245219084201508318934573_<38>

(65·10¹²⁹+43)/9 =: 7(2)₁₂₈7_<130>; = 3³ · 11 · 1757287893929_<13> · 4101024756394972697632578247_<28> · 3374264243043062528848251676915972305423208090015098887440704468314693138578790429985157_<88> (Tetsuya Kobayashi / GMP-ECM 5.0.1 B1=250000)

(65·10¹³⁰+43)/9 =: 7(2)₁₂₉7_<131>; = 18329 · 25704193 · 153295039801782722820737325011896973398267357149116812070160634150886295058770343738380686117695349104580501253213582091_<120>

(65·10¹³¹+43)/9 =: 7(2)₁₃₀7_<132>; = 11 · 73 · 4027 · 19381 · 4106393529031_<13> · 102924291552806169437486180867_<30> · 5235643267673697931501191223693_<31> · 5207736352251493808538663428873197612674218762887_<49> (Tetsuya Kobayashi / GMP-ECM 5.0.1 B1=250000) (Robert Backstrom / GMP-ECM 5.0c)

(65·10¹³²+43)/9 =: 7(2)₁₃₁7_<133>; = 3 · 47 · 2900959101037647693123830081119_<31> · 17656724006152360258996899978528278911348122321656951306404926328462254672939155444372808912155070913_<101>

(65·10¹³³+43)/9 =: 7(2)₁₃₂7_<134>; = 7² · 11 · 1433 · 16657611062834776913686490615375345429999_<41> · 5613363599189084831501701374570182549999093001882959223454773657056164380771970800591679_<88> (Robert Backstrom / NFSX v1.8)

(65·10¹³⁴+43)/9 =: 7(2)₁₃₃7_<135>; = 149 · 113717 · 5721700490654022829_<19> · 9860208067870499424478000693948953239_<37> · 755523513495112340604042753084028216694089888201204680670360001864736449_<72> (Robert Backstrom / GMP-ECM 5.0c)

(65·10¹³⁵+43)/9 =: 7(2)₁₃₄7_<136>; = 3 · 11 · 83 · 947 · 102430459 · 211297637 · 33746465239_<11> · 2032241066947243_<16> · 824185224318738551377637_<24> · 2276023488887123285000853050948506070610089757945312906036491357_<64>

(65·10¹³⁶+43)/9 =: 7(2)₁₃₅7_<137>; = 28307 · 159787 · 46744090323571_<14> · 439254743000959954889_<21> · 11135624433078789870093859425206907109_<38> · 69835751670365204285312178018218821834357441936735659893_<56> (Robert Backstrom / PPSIQS Ver 1.1)

(65·10¹³⁷+43)/9 =: 7(2)₁₃₆7_<138>; = 11 · 29 · 1367 · 1464400818071_<13> · 15073853574601847_<17> · 480867997739151366292309_<24> · 25860474517732896791818106646575784533_<38> · 6033440436489300104295947829502745240939491_<43>

(65·10¹³⁸+43)/9 =: 7(2)₁₃₇7_<139>; = 3² · 14389 · 14897 · 621025897 · 831980921 · 187362569232613_<15> · 1066431976583588926388225930893975267_<37> · 36262674994388215975499391432212177887701693709846023785692433_<62> (Robert Backstrom / GMP-ECM 5.0c)

(65·10¹³⁹+43)/9 =: 7(2)₁₃₈7_<140>; = 7 · 11 · 17 · 73 · 90596460008981_<14> · 657855113373193_<15> · 4411549820609947343_<19> · 1114861599953453108622908704154729_<34> · 2578426240966723053775996628559106956920554579020990661_<55> (Robert Backstrom / PPSIQS Ver 1.1)

(65·10¹⁴⁰+43)/9 =: 7(2)₁₃₉7_<141>; = 19 · 2699 · 13371156637_<11> · 9014006629633_<13> · 116849675899159609302756549698977928980522667506717398593094000854066508795984368840874684725114124613237992990527_<114>

(65·10¹⁴¹+43)/9 =: 7(2)₁₄₀7_<142>; = 3 · 11³ · 1037334697211_<13> · 1743623173743483975584473725747815742389748957160704207396071277995947136674971862881656793354065262707644327519898565498035249_<127>

(65·10¹⁴²+43)/9 =: 7(2)₁₄₁7_<143>; = 89 · 193 · 198638087 · 2247087431_<10> · 9742597873074661129511930834554049809707829_<43> · 966865935733139211288991786743936943283865345411378831384056867611197604830127_<78> (Greg Childers / GGNFS)

(65·10¹⁴³+43)/9 =: 7(2)₁₄₂7_<144>; = 11 · 211 · 311168557614055244386997941500311168557614055244386997941500311168557614055244386997941500311168557614055244386997941500311168557614055244387_<141>

(65·10¹⁴⁴+43)/9 =: 7(2)₁₄₃7_<145>; = 3 · 251 · 7331 · 48022449417411814334223229597104761154016667704312594421848222541_<65> · 27243841422266516181382717463539825882527519190626776820706713205388886629_<74> (Greg Childers / GGNFS)

(65·10¹⁴⁵+43)/9 =: 7(2)₁₄₄7_<146>; = 7 · 11 · 7507 · 32214004145847387388711_<23> · 1316720884997089624276471889_<28> · 2945610178105127374506107901405165711029696556328446280371768325734738535058005400230652867_<91>

(65·10¹⁴⁶+43)/9 =: 7(2)₁₄₅7_<147>; = 12889 · 50372893 · 1112383990073770002771534384539573175902321081595259693390320621479564572555558743445959492783903133654150552412087549955369069513836551_<136>

(65·10¹⁴⁷+43)/9 =: 7(2)₁₄₆7_<148>; = 3² · 11 · 23 · 73 · 483481 · 89868096869799917294683282460321092510406135139192347402367739392397776972966690825607541765875576964407984823875941919963283682135219127_<137>

(65·10¹⁴⁸+43)/9 =: 7(2)₁₄₇7_<149>; = 30319 · 1303787 · 6924695532357538392015942113619235446521_<40> · 7709243533890924197434092113655130735615595589973_<49> · 34224481685633447311809947418522210620362025399123_<50> (Greg Childers / GGNFS)

(65·10¹⁴⁹+43)/9 =: 7(2)₁₄₈7_<150>; = 11 · 67 · 5327717 · 19246229 · 1717258085855793399793231334341257119_<37> · 5565202771443426954948312612945462361234871634691231398365150342350403876131043245679149263564613_<97> (Robert Backstrom / GMP-ECM 5.0c)

(65·10¹⁵⁰+43)/9 =: 7(2)₁₄₉7_<151>; = 3 · 181 · 13300593411090648659709433190096173521587886228770206670759156947002250869654184571311643134847554737057499488438714958051974626560261919377941477389_<149>

(65·10¹⁵¹+43)/9 =: 7(2)₁₅₀7_<152>; = 7 · 11 · 223 · 11113 · 10356952901_<11> · 7213881203370689437_<19> · 5065740716307528847327610928522854755282029047448117077443732384791501911667022698337739215421190552054415932522377_<115>

(65·10¹⁵²+43)/9 =: 7(2)₁₅₁7_<153>; = 6550213397685364775986550762989701971314721157128662740183066777671_<67> · 110259342463168051908664963775205452537386095869746869361395515038990560570276567780437_<87> (suberi / GGNFS-0.77.1-20060513-pentium4 / 43.65 hours on Pentium 4 2.24GHz, Windows XP and Cygwin / Jan 24, 2007)

(65·10¹⁵³+43)/9 =: 7(2)₁₅₂7_<154>; = 3 · 11 · 997 · 5869 · 6871 · 5443493277995506868082557302530304500590187832389769948926275077883065772478107587734154635831926250971745502855641265654011650108445403296773_<142>

(65·10¹⁵⁴+43)/9 =: 7(2)₁₅₃7_<155>; = 2903 · 39403853043503858648144059421_<29> · 631371713196639185248714562919354903977906977865731980463798981070349227815458512741230212303393723150149371924035521455529_<123> (Makoto Kamada / GMP-ECM 5.0.3 B1=400000, sigma=3593221774)

(65·10¹⁵⁵+43)/9 =: 7(2)₁₅₄7_<156>; = 11 · 17² · 73 · 593 · 821 · 156901 · 3000409 · 113165188094798731_<18> · 1252506284919674597813442361_<28> · 95798933501408006480896098368296296789086081254720058955016936449717404248170381274091483_<89> (Makoto Kamada / GMP-ECM 5.0.3 B1=4000000, sigma=2776433742 for P28 / Mar 8, 2005)

(65·10¹⁵⁶+43)/9 =: 7(2)₁₅₅7_<157>; = 3⁵ · 499² · 218342651 · 45060600447450320329_<20> · 1721642957923045388140883_<25> · 723799346945287442415419839_<27> · 9735688085504443215692203279000273246197737604809453042285602740831343_<70>

(65·10¹⁵⁷+43)/9 =: 7(2)₁₅₆7_<158>; = 7 · 11 · 61 · 15376244884441605753081162917228490998982802261490786080950015376244884441605753081162917228490998982802261490786080950015376244884441605753081162917228491_<155>

(65·10¹⁵⁸+43)/9 =: 7(2)₁₅₇7_<159>; = 19 · 7448303743_<10> · 2283906434721397222715225004575163162522053541582590209420748519155831_<70> · 2234506175283351071706709697979013414681324521591035009309462144344402039107001_<79> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 48.27 hours on Cygwin on AMD 64 3200+ / Apr 26, 2007)

(65·10¹⁵⁹+43)/9 =: 7(2)₁₅₈7_<160>; = 3 · 11 · 59 · 71 · 2041783 · 44769887 · 3172010403949_<13> · 8036583893106069853_<19> · 1882939818768717369123334213_<28> · 11907166867044885474419358746175080272831949023533081185481895879812180422202279491_<83> (Makoto Kamada / GMP-ECM 6.0 B1=4000000, sigma=702755417 for P28 / Mar 27, 2005)

(65·10¹⁶⁰+43)/9 =: 7(2)₁₅₉7_<161>; = 1291 · 297457 · 17352541246944072825111665711753_<32> · 2342545412736254376314836515222427_<34> · 4626678339400851524807725560482691036987427405150010526072468457028149806517927931218291_<88> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 39.23 hours on Cygwin on AMD 64 3200+ / Jun 10, 2007)

(65·10¹⁶¹+43)/9 =: 7(2)₁₆₀7_<162>; = 11 · 3407 · 52947769774827685110950551656087356218398433_<44> · 363963939109135155217567052297823083527155953215564045576179453409875651685542451308909281653467079298253731913847_<114> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 51.24 hours on Cygwin on AMD 64 3200+ / Jun 12, 2007)

(65·10¹⁶²+43)/9 =: 7(2)₁₆₁7_<163>; = 3 · 677 · 10193 · 1573237 · 10037269604188014489625787_<26> · 137954707191964580423759095965459263169617010356229781_<54> · 160144723690182851686046435792735566441355086416901397233226149694716271_<72> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs, Msieve 1.33 / Feb 15, 2008)

(65·10¹⁶³+43)/9 =: 7(2)₁₆₂7_<164>; = 7 · 11² · 73 · 853 · 190523548932727_<15> · 443317077158833_<15> · 16212590812353170255489441702160103267521835525009123550351580838598398950383587603672662831931150816900076941120833704691725879_<128>

(65·10¹⁶⁴+43)/9 =: 7(2)₁₆₃7_<165>; = 439 · 4969 · 1121788638739_<13> · 2208509897446174801_<19> · 16593692615156902858999_<23> · 1553337788003002160800207996061988253_<37> · 5184632701156864875628511570734466621572003441098635405139333298106509_<70> (Tyler Cadigan / GGNFS-0.77.1-20050930-pentium4 gnfs / 22.14 hours on P4 3.2 gig 1024 MB RAM for P37 x P70 / Oct 5, 2005)

(65·10¹⁶⁵+43)/9 =: 7(2)₁₆₄7_<166>; = 3² · 11 · 29 · 7639 · 2252567 · 12425239 · 72706584488576609_<17> · 2844021580936529047321181522766000025422187626149_<49> · 56899971005532573858733054130402004114671676641026019412601626011729833138572151_<80> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 45.38 hours on Core 2 Quad Q6700 / Sep 8, 2008)

(65·10¹⁶⁶+43)/9 =: 7(2)₁₆₅7_<167>; = 12263 · 603213984515802900576681227024393_<33> · [9763436759606743427904739583306785308462946373464374213867612168717174093348236091973396634356359866256404708584327307961415747853_<130>] (Makoto Kamada / GMP-ECM 5.0.3 B1=4000000, sigma=1594045177 for P33 / Feb 27, 2005) SUBMIT/RESERVE

(65·10¹⁶⁷+43)/9 =: 7(2)₁₆₆7_<168>; = 11 · 5879 · 31159 · 286831 · 517095792649_<12> · 6350896847958870927475301612070577433786600427541_<49> · 380503836982596483446568644330742044611360532394516326298199791512990729260726018085652941203_<93> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs, Msieve 1.36 / 44.76 hours on Cygwin on AMD 64 X2 6000+ / Jul 19, 2008)

(65·10¹⁶⁸+43)/9 =: 7(2)₁₆₇7_<169>; = 3 · 387818359 · 906791210807_<12> · 14249308118977_<14> · 480418970890277022293173990249753968321594458259012661843336785782480491944639414282232649295238402315161675175626945881974786545367009_<135>

(65·10¹⁶⁹+43)/9 =: 7(2)₁₆₈7_<170>; = 7 · 11 · 23 · 68659 · 4321029614939_<13> · 530897822686884962677615417_<27> · 258914650400347979772352997931146995187006701423208429518294066462041557386591671044316656361151981352276780780439601952161_<123> (Makoto Kamada / GMP-ECM 5.0.3 B1=400000, sigma=4258500940)

(65·10¹⁷⁰+43)/9 =: 7(2)₁₆₉7_<171>; = 172715760593_<12> · 4181565247679505508636128258365062719301006634696945361829943154330941957491161440218098731539551888138453332551235602468121669722705513826056478710285212808739_<160>

(65·10¹⁷¹+43)/9 =: 7(2)₁₇₀7_<172>; = 3 · 11 · 17 · 73 · 179 · 709 · 10272945689_<11> · 135266691457178605371338511800449058595148149169372051689224908645337026727604976813188759480250737678628688778701546847915111292624204341602608312424221_<153>

(65·10¹⁷²+43)/9 =: 7(2)₁₇₁7_<173>; = 88079 · 42899066251623925001_<20> · [19113958229382764022416910172563472600191966665754415602250152737562817069743686536690566748519854859251484268130476545867407859706526374365134641813_<149>] SUBMIT/RESERVE

(65·10¹⁷³+43)/9 =: 7(2)₁₇₂7_<174>; = 11 · 211 · 373 · 7879 · 1433207 · 73876592170544814707472382398826194775684286975337657322927047018772366505713448702184203533184274058068470959191820205164603304496329560786996266509251282423_<158>

(65·10¹⁷⁴+43)/9 =: 7(2)₁₇₃7_<175>; = 3² · 263 · 311 · 887 · 3747803609983505721301_<22> · 15028678268941953564703_<23> · 19397341972182109764967_<23> · 10123920953166276739570298466767577231112897244038297872099856712275966077523630196111463215028875633_<101>

(65·10¹⁷⁵+43)/9 =: 7(2)₁₇₄7_<176>; = 7² · 11 · 7079 · 2950165301_<10> · 12996013595357003_<17> · 493689240225838323331662290575282038655221811045627358212213315183104458140209021238770289646831370119304593534261772460389601152196865880192089_<144>

(65·10¹⁷⁶+43)/9 =: 7(2)₁₇₅7_<177>; = 19 · 83 · 54521 · 22988059 · 93117256178070941_<17> · [3924125310964336084779407887834582549766049138373034995181290203503151529920176472249351489929430782545390012911988106223102213423579050921517149_<145>] SUBMIT/RESERVE

(65·10¹⁷⁷+43)/9 =: 7(2)₁₇₆7_<178>; = 3 · 11 · 8810054917_<10> · [24841527200121408189725500987500695192188121391618205643797489038423760737932664450293443638344033134614211306494086279169428157930654912309084669790284674478477512407_<167>] SUBMIT/RESERVE

(65·10¹⁷⁸+43)/9 =: 7(2)₁₇₇7_<179>; = 47 · 113 · 526853 · 117345719 · 331998677 · 125870285644374589_<18> · 34925085627768598997827271895379_<32> · 1361124300359348959136021102791572885773046603028627_<52> · 110724314477726693312993373871940590187185882490090599_<54> (Makoto Kamada / GMP-ECM 5.0.3 B1=400000, sigma=1295381252 for P32) (Anton Korobeynikov / GGNFS-0.73.3 gnfs / 19.62 hours for P52 x P54 / Mar 9, 2005)

(65·10¹⁷⁹+43)/9 =: 7(2)₁₇₈7_<180>; = 11 · 73 · 3578057849_<10> · [251366816007577101065618042053352221821523137844856964191859283181181596625271613654687473427850914381627426295446108227776561308747596520466570270760596915673313346841_<168>] SUBMIT/RESERVE

(65·10¹⁸⁰+43)/9 =: 7(2)₁₇₉7_<181>; = 3 · 7433 · 120799949 · 2681135164845878259334687435994135587375597586241803369158471304033677401570963106101943986422905118575330872237418563655130171123758631762955261265290807190640883790477_<169>

(65·10¹⁸¹+43)/9 =: 7(2)₁₈₀7_<182>; = 7 · 11 · 1298565086187032561_<19> · 8766264714551896051_<19> · 82395182324527171265251112985007850186662793531718599278683591819730929581962292427961450415763768995171472620489558165670467819155570810437941_<143>

(65·10¹⁸²+43)/9 =: 7(2)₁₈₁7_<183>; = 67 · 1093 · 132951869765759701_<18> · [74179078364952204363062060815582478396550591667069958112149915809414721297998111234819293135605945867999471053996556946024015410171362184232450783399143090473417_<161>] SUBMIT/RESERVE

(65·10¹⁸³+43)/9 =: 7(2)₁₈₂7_<184>; = 3³ · 11 · 437510417 · 774019032473969309_<18> · 88804488047812567397747_<23> · 149183001001371826586906639_<27> · 26872627742923218845406575311898441_<35> · 201701891060888755969503529121721296716388675952111719429087853881588699_<72> (Kenichiro Yamaguchi / GMP-ECM 6.0 B1=11000000, sigma=2295477006 for P35 / May 28, 2005)

(65·10¹⁸⁴+43)/9 =: 7(2)₁₈₃7_<185>; = 487 · 5524651542953147219_<19> · [26843367371977830009190807721372860615698193277053020929521814037157238925617427483851274091814193119989249009139934637579450403910214060327855586965839324283847959_<164>] SUBMIT/RESERVE

(65·10¹⁸⁵+43)/9 =: 7(2)₁₈₄7_<186>; = 11² · 881 · 59369 · 190620281 · [598660672549356470685940719081056400666580071403292199882593105751106570886451910228787641074010913230446289632138996832723306480302540394280837815472375262163534915643_<168>] SUBMIT/RESERVE

(65·10¹⁸⁶+43)/9 =: 7(2)₁₈₅7_<187>; = 3 · 89 · 4679 · 597347347464359_<15> · 1063097615099489_<16> · 48686557186389825347_<20> · 14690759029212971209960298983_<29> · 1124633931670423999054999206157751_<34> · 32451381886148128381123221457383757_<35> · 348745633990314969496632087311117327_<36> (Makoto Kamada / GMP-ECM 5.0.3 B1=400000, sigma=922436349 for P29) (Anton Korobeynikov / GGNFS-0.73.3 gnfs / 16.99 hours for P34 x P35 x P36 / Mar 9, 2005)

(65·10¹⁸⁷+43)/9 =: 7(2)₁₈₆7_<188>; = 7 · 11 · 17 · 73 · 367 · 227627 · 12114132883_<11> · 31708861836795119_<17> · 1408778549650698007_<19> · 3377652857328732875380257962975302947377_<40> · 4949801375445568906672988898650230437891483199484561725621942929232193814285739846837010593_<91> (Robert Backstrom / GMP-ECM 6.2.1 B1=3520000, sigma=225760141 for P40 / Jul 10, 2008)

(65·10¹⁸⁸+43)/9 =: 7(2)₁₈₇7_<189>; = 46977193 · 834128043687624197_<18> · 18431091771273211130540453142745845316976295334693815543563104769140368538173013818112255762213341804437883981452308172519163003941970984698367806904821694510139487_<164>

(65·10¹⁸⁹+43)/9 =: 7(2)₁₈₈7_<190>; = 3 · 11 · [218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855219_<189>] SUBMIT/RESERVE

(65·10¹⁹⁰+43)/9 =: 7(2)₁₈₉7_<191>; = 97 · 151 · 153349398479784413_<18> · 183068228936534766174026813_<27> · 977138077241719675590966177052673389_<36> · 179750940567648382871445086126986304835862363811312057311549169881624147393957204136855273869585679296210001_<108> (Makoto Kamada / GMP-ECM 5.0.3 B1=400000, sigma=3438367845 for P27) (Makoto Kamada / GMP-ECM 5.0.3 P-1 B1=50000000, B2=7260750615 for P36)

(65·10¹⁹¹+43)/9 =: 7(2)₁₉₀7_<192>; = 11 · 23 · 922511 · 21247544047837_<14> · 81713872965584413_<17> · [1782273046678260456560503126617621393287999382158763878059972237503028737809365356256810301598403157692043216543126913724589893011698315177706705791974649_<154>] SUBMIT/RESERVE

(65·10¹⁹²+43)/9 =: 7(2)₁₉₁7_<193>; = 3² · 5821 · 25609 · 145024688489_<12> · 76239268492803110419_<20> · [486874979152054047897013649779237370325053123698747918110101972070610494190479560572295917431829448321417857484549430468778981389285777311111520071281597_<153>] SUBMIT/RESERVE

(65·10¹⁹³+43)/9 =: 7(2)₁₉₂7_<194>; = 7 · 11 · 29 · 17296409993_<11> · 306383866950457111_<18> · 6103237350754749331953870989288825025811591172657413342172890945454773607438434371871827517722890610909877596897726449746725289489696632963460510473891592421735653_<163>

(65·10¹⁹⁴+43)/9 =: 7(2)₁₉₃7_<195>; = 19 · 71 · 251 · 557 · 8114707 · 9191298489469_<13> · [51342884892057433455312940001374134071460125186488738669270628902692473553023740598975903026172358775182819833759679854214440062111976499446763280435693086553894515983_<167>] SUBMIT/RESERVE

(65·10¹⁹⁵+43)/9 =: 7(2)₁₉₄7_<196>; = 3 · 11 · 73 · 22487292918133374838743107_<26> · 133320480484748939558825915963495972040731158847109004767782773366926803188940404157956544095987618273806123602112689506238281001450547679224918617487094229631776630729_<168>

(65·10¹⁹⁶+43)/9 =: 7(2)₁₉₅7_<197>; = 85243 · 2702083 · 3891353 · 222641214333151_<15> · [361915551548092936690856728260962243092395288435318415127531360687931554555277499017489437662120609928123278868746527491815278447712128504835570870027714883030269861_<165>] SUBMIT/RESERVE

(65·10¹⁹⁷+43)/9 =: 7(2)₁₉₆7_<198>; = 11 · 337 · 5881 · [33128142207473777176945404153982601803048577023208399107348447299009815628994123133828678566876364239193891794405342788533236876415154600146050256727047700544305060079593266736695481983456081_<191>] SUBMIT/RESERVE

(65·10¹⁹⁸+43)/9 =: 7(2)₁₉₇7_<199>; = 3 · 2293 · 3023 · 33329 · 81193436161_<11> · 128340635611362174069605681732205700485721985636563154771182826923826078625585033855155327175359908890697390576372140637431941422269035679779577037693844469949347298629569748499_<177>

(65·10¹⁹⁹+43)/9 =: 7(2)₁₉₈7_<200>; = 7 · 11 · 8263 · 12507750757_<11> · [9075345147887319369378718815773777753721393446681799098811666996799334278523970458312525918126766538082598102755710931923311766120044367112683111039334958682080427576972170881719001461_<184>] SUBMIT/RESERVE

(65·10²⁰⁰+43)/9 =: 7(2)₁₉₉7_<201>; = 157 · 167 · 30905087 · 537321897022494689652786925171_<30> · 1658785436556041315108865468395002717397504079125271304166624754627011835870853414945876768578266025626501944419670359005338932573955667354016456405963939900829_<160> (Makoto Kamada / GMP-ECM 5.0.3 B1=4000000, sigma=1368351312 for P30)

Factorizations

Return from mirror

[PR]500000�~��I�ʐM�u��:�ʐM��̔�p�Ɂ􍡂Ȃ疳��ŎԂ��