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STUDIO KAMADA

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Sequence

General term

Room for prime numbers

Prime numbers

1. (17·10¹+1)/9 = 19 is prime. (Makoto Kamada / Sep 26, 2004)
2. (17·10³+1)/9 = 1889 is prime. (Makoto Kamada / Sep 26, 2004)
3. (17·10¹²+1)/9 = 1(8)₁₁9_<13> is prime. (Makoto Kamada / Sep 26, 2004)
4. (17·10²⁶⁷+1)/9 = 1(8)₂₆₆9_<268> is prime. (Makoto Kamada / PPSIQS / Sep 26, 2004)
5. (17·10⁸⁴³+1)/9 = 1(8)₈₄₂9_<844> is prime. (searched by Makoto Kamada / Sep 26, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / May 29, 2006)
6. (17·10⁶³⁰⁰+1)/9 = 1(8)₆₂₉₉9_<6301> is PRP. (Makoto Kamada / PFGW / Dec 22, 2004)

• 1-10000

• A102945 (On-Line Encyclopedia of Integer Sequences)

Condition

Status

Factorization results

(17·10¹+1)/9 =

19

= definitely prime number

(17·10²+1)/9 =

189

= 3³ · 7

(17·10³+1)/9 =

1889

= definitely prime number

(17·10⁴+1)/9 =

18889

= 13 · 1453

(17·10⁵+1)/9 =

188889

= 3 · 79 · 797

(17·10⁶+1)/9 =

1888889

= 131 · 14419

(17·10⁷+1)/9 =

18888889

= 29 · 31 · 21011

(17·10⁸+1)/9 =

188888889

= 3 · 7 · 433 · 20773

(17·10⁹+1)/9 =

1888888889_<10>

= 53 · 35639413

(17·10¹⁰+1)/9 =

18888888889_<11>

= 13 · 503 · 2888651

(17·10¹¹+1)/9 =

188888888889_<12>

= 3² · 263 · 79800967

(17·10¹²+1)/9 =

1888888888889_<13>

= definitely prime number

(17·10¹³+1)/9 =

18888888888889_<14>

= 293 · 569 · 113299117

(17·10¹⁴+1)/9 =

188888888888889_<15>

= 3 · 7 · 71 · 126686042179_<12>

(17·10¹⁵+1)/9 =

1888888888888889_<16>

= 59 · 1087 · 29452682533_<11>

(17·10¹⁶+1)/9 =

18888888888888889_<17>

= 13 · 23 · 63173541434411_<14>

(17·10¹⁷+1)/9 =

188888888888888889_<18>

= 3 · 1319 · 47735377530677_<14>

(17·10¹⁸+1)/9 =

1888888888888888889_<19>

= 79 · 1231 · 482423 · 40261807

(17·10¹⁹+1)/9 =

18888888888888888889_<20>

= 19 · 6088739 · 163277165729_<12>

(17·10²⁰+1)/9 =

188888888888888888889_<21>

= 3² · 7 · 227 · 13208089566386189_<17>

(17·10²¹+1)/9 =

1888888888888888888889_<22>

= 199 · 1945549043_<10> · 4878779077_<10>

(17·10²²+1)/9 =

18888888888888888888889_<23>

= 13 · 31 · 53 · 884352679848723671_<18>

(17·10²³+1)/9 =

188888888888888888888889_<24>

= 3 · 59683973 · 1054939203912631_<16>

(17·10²⁴+1)/9 =

1888888888888888888888889_<25>

= 7481 · 10400117753_<11> · 24277753673_<11>

(17·10²⁵+1)/9 =

18888888888888888888888889_<26>

= 89 · 8405263 · 25250216039251727_<17>

(17·10²⁶+1)/9 =

188888888888888888888888889_<27>

= 3 · 7 · 367 · 89083 · 14175673 · 19408078153_<11>

(17·10²⁷+1)/9 =

1888888888888888888888888889_<28>

= 47 · 107 · 863 · 1543 · 3559 · 36779 · 2154865409_<10>

(17·10²⁸+1)/9 =

18888888888888888888888888889_<29>

= 13 · 1267961 · 1145927558490720922373_<22>

(17·10²⁹+1)/9 =

188888888888888888888888888889_<30>

= 3⁴ · 97 · 36877 · 465169 · 1401468403507229_<16>

(17·10³⁰+1)/9 =

1888888888888888888888888888889_<31>

= 48523 · 53549 · 5722133 · 8315387 · 15278017

(17·10³¹+1)/9 =

18888888888888888888888888888889_<32>

= 79 · 15401 · 15524956778976943704040991_<26>

(17·10³²+1)/9 =

188888888888888888888888888888889_<33>

= 3 · 7² · 8663 · 14281 · 10386330634334996841229_<23>

(17·10³³+1)/9 =

1888888888888888888888888888888889_<34>

= 109 · 7417 · 166861 · 14002216649604670520633_<23>

(17·10³⁴+1)/9 =

18888888888888888888888888888888889_<35>

= 13 · 1452991452991452991452991452991453_<34>

(17·10³⁵+1)/9 =

188888888888888888888888888888888889_<36>

= 3 · 29 · 53 · 181 · 2351 · 129281 · 744638322044057593609_<21>

(17·10³⁶+1)/9 =

1888888888888888888888888888888888889_<37>

= 1367 · 358073 · 3858924862823829933990645479_<28>

(17·10³⁷+1)/9 =

18888888888888888888888888888888888889_<38>

= 19 · 31 · 122891 · 350437 · 744665245345758865893803_<24>

(17·10³⁸+1)/9 =

188888888888888888888888888888888888889_<39>

= 3² · 7 · 23 · 5479 · 11923 · 451122233 · 4423407508417267301_<19>

(17·10³⁹+1)/9 =

1888888888888888888888888888888888888889_<40>

= 92657 · 20406289 · 337267556963_<12> · 2962030850053811_<16>

(17·10⁴⁰+1)/9 =

18888888888888888888888888888888888888889_<41>

= 13² · 15739 · 391722371 · 3722940391_<10> · 4869429862125239_<16>

(17·10⁴¹+1)/9 =

188888888888888888888888888888888888888889_<42>

= 3 · 61 · 710079133 · 16053236911_<11> · 90549479231006381141_<20>

(17·10⁴²+1)/9 =

1888888888888888888888888888888888888888889_<43>

= 163 · 34176382225590628033_<20> · 339072617910952912691_<21>

(17·10⁴³+1)/9 =

18888888888888888888888888888888888888888889_<44>

= 1483073 · 2429183 · 5243045786303910615669291761671_<31>

(17·10⁴⁴+1)/9 =

188888888888888888888888888888888888888888889_<45>

= 3 · 7 · 79 · 113857075882392338088540620186189806442971_<42>

(17·10⁴⁵+1)/9 =

1888888888888888888888888888888888888888888889_<46>

= 55382608778959370879_<20> · 34106173951244135789669191_<26>

(17·10⁴⁶+1)/9 =

18888888888888888888888888888888888888888888889_<47>

= 13 · 226169 · 2438083 · 92708669 · 163153763 · 174206379358347137_<18>

(17·10⁴⁷+1)/9 =

188888888888888888888888888888888888888888888889_<48>

= 3² · 431 · 48695253644982956661224255965168571510412191_<44>

(17·10⁴⁸+1)/9 =

1888888888888888888888888888888888888888888888889_<49>

= 53 · 39521 · 45247 · 707647 · 28164118172493804463643744064917_<32>

(17·10⁴⁹+1)/9 =

18888888888888888888888888888888888888888888888889_<50>

= 71 · 233 · 1141805530368668856246683726584590998542518823_<46>

(17·10⁵⁰+1)/9 =

188888888888888888888888888888888888888888888888889_<51>

= 3 · 7 · 3320791 · 2708604364053321846811409990785025227120499_<43>

(17·10⁵¹+1)/9 =

1888888888888888888888888888888888888888888888888889_<52>

= 1583 · 1721 · 511871929 · 103752168934868381_<18> · 13055278140241144627_<20>

(17·10⁵²+1)/9 =

18888888888888888888888888888888888888888888888888889_<53>

= 13 · 31 · 46870692031982354562999724290046870692031982354563_<50>

(17·10⁵³+1)/9 =

188888888888888888888888888888888888888888888888888889_<54>

= 3 · 157 · 4251697 · 207326434673_<12> · 16321195858321_<14> · 27875106950959808159_<20>

(17·10⁵⁴+1)/9 =

1888888888888888888888888888888888888888888888888888889_<55>

= 49036228984579_<14> · 38520272215118948211091807023989051951891_<41>

(17·10⁵⁵+1)/9 =

18888888888888888888888888888888888888888888888888888889_<56>

= 19 · 1511456197_<10> · 657744530577107906087834874108247631204195623_<45>

(17·10⁵⁶+1)/9 =

188888888888888888888888888888888888888888888888888888889_<57>

= 3³ · 7 · 4624457 · 490162164394267_<15> · 440904038876533656405904122949279_<33>

(17·10⁵⁷+1)/9 =

1888888888888888888888888888888888888888888888888888888889_<58>

= 79 · 1259 · 18991251735744552024299865162112676213680627470957349_<53>

(17·10⁵⁸+1)/9 =

18888888888888888888888888888888888888888888888888888888889_<59>

= 13 · 10253 · 141713786500678142148931186286106797176727928702960401_<54>

(17·10⁵⁹+1)/9 =

188888888888888888888888888888888888888888888888888888888889_<60>

= 3 · 1231 · 630044357 · 790903264388314279_<18> · 102643773598090173216699464191_<30>

(17·10⁶⁰+1)/9 =

1888888888888888888888888888888888888888888888888888888888889_<61>

= 23 · 7242077 · 47860039 · 869082191 · 272634956509325694952341721987943491_<36>

(17·10⁶¹+1)/9 =

18888888888888888888888888888888888888888888888888888888888889_<62>

= 53 · 391283 · 910834689927841586301980672720106163033805184815029111_<54>

(17·10⁶²+1)/9 =

188888888888888888888888888888888888888888888888888888888888889_<63>

= 3 · 7 · 8994708994708994708994708994708994708994708994708994708994709_<61>

(17·10⁶³+1)/9 =

1888888888888888888888888888888888888888888888888888888888888889_<64>

= 29 · 554378860873338033252118387039_<30> · 117490229541309622726136121038419_<33>

(17·10⁶⁴+1)/9 =

18888888888888888888888888888888888888888888888888888888888888889_<65>

= 13 · 1862393047_<10> · 780174440262207976044377625402213494976064229792763499_<54>

(17·10⁶⁵+1)/9 =

188888888888888888888888888888888888888888888888888888888888888889_<66>

= 3² · 14834189 · 477214142481948133279_<21> · 2964741200902068554417095255184638891_<37>

(17·10⁶⁶+1)/9 =

1888888888888888888888888888888888888888888888888888888888888888889_<67>

= 373 · 18955394581703_<14> · 267155888351205392891107242065106014062720941840931_<51>

(17·10⁶⁷+1)/9 =

18888888888888888888888888888888888888888888888888888888888888888889_<68>

= 31 · 9103 · 17530957 · 25094557231_<11> · 152151070914412261338961851154626039411241219_<45>

(17·10⁶⁸+1)/9 =

188888888888888888888888888888888888888888888888888888888888888888889_<69>

= 3 · 7 · 72997 · 37089929 · 136951043247886846933_<21> · 24258322099943009003792323406695621_<35>

(17·10⁶⁹+1)/9 =

1888888888888888888888888888888888888888888888888888888888888888888889_<70>

= 89 · 9481523 · 8932698501020143568787923_<25> · 250585320811541014977179616465798169_<36>

(17·10⁷⁰+1)/9 =

18888888888888888888888888888888888888888888888888888888888888888888889_<71>

= 13 · 79 · 149 · 17827 · 119159 · 40124771 · 105273583275707996269_<21> · 13756647628981175463757695149_<29>

(17·10⁷¹+1)/9 =

188888888888888888888888888888888888888888888888888888888888888888888889_<72>

= 3 · 383 · 224209 · 3988777171_<10> · 183820340404802788918285563490388669083821596566745999_<54>

(17·10⁷²+1)/9 =

1888888888888888888888888888888888888888888888888888888888888888888888889_<73>

= 22891951 · 2025826091587073_<16> · 40730659674502545025398987684909888741879703521943_<50>

(17·10⁷³+1)/9 =

18888888888888888888888888888888888888888888888888888888888888888888888889_<74>

= 19 · 47 · 59 · 6373 · 44983 · 79811 · 7985716213_<10> · 1962158029319336989742779047663165658211281331_<46>

(17·10⁷⁴+1)/9 =

188888888888888888888888888888888888888888888888888888888888888888888888889_<75>

= 3² · 7² · 53 · 1181 · 224611 · 10168996297_<11> · 252077399795755687021511_<24> · 11884995846231507198031502069_<29>

(17·10⁷⁵+1)/9 =

1888888888888888888888888888888888888888888888888888888888888888888888888889_<76>

= 179 · 1831 · 17483 · 141023 · 211464413 · 45195876432683_<14> · 244581174452254220619101043185626932751_<39>

(17·10⁷⁶+1)/9 =

18888888888888888888888888888888888888888888888888888888888888888888888888889_<77>

= 13 · 58693 · 9656909 · 425892580162687237637622004361_<30> · 6019196736640557804539358608567029_<34>

(17·10⁷⁷+1)/9 =

188888888888888888888888888888888888888888888888888888888888888888888888888889_<78>

= 3 · 1031 · 1404411641_<10> · 192888668974313946634910879_<27> · 225437082337612156824376619047665822307_<39>

(17·10⁷⁸+1)/9 =

1888888888888888888888888888888888888888888888888888888888888888888888888888889_<79>

= 5557879425036665565098330907536533_<34> · 339857838653350744323059224156689004976410133_<45>

(17·10⁷⁹+1)/9 =

18888888888888888888888888888888888888888888888888888888888888888888888888888889_<80>

= 45922307 · 566849837 · 1043444158989089213_<19> · 695417276720150973814973447309824713037489067_<45>

(17·10⁸⁰+1)/9 =

188888888888888888888888888888888888888888888888888888888888888888888888888888889_<81>

= 3 · 7 · 107 · 14324147724152541995851_<23> · 5868600527163593194704055285278902116212934457771975837_<55>

(17·10⁸¹+1)/9 =

1888888888888888888888888888888888888888888888888888888888888888888888888888888889_<82>

= 201923 · 756952152700210117854967005538027_<33> · 12358113897618558440201302251614880943543609_<44>

(17·10⁸²+1)/9 =

18888888888888888888888888888888888888888888888888888888888888888888888888888888889_<83>

= 13 · 23 · 31 · 360645107296367543828719_<24> · 5650585947444811319002886850748270378109990617148142299_<55>

(17·10⁸³+1)/9 =

188888888888888888888888888888888888888888888888888888888888888888888888888888888889_<84>

= 3³ · 79 · 659 · 7649 · 27086599 · 538046909 · 1553595560333_<13> · 21345867518831127172339_<23> · 36349553508754367028739_<23>

(17·10⁸⁴+1)/9 =

1888888888888888888888888888888888888888888888888888888888888888888888888888888888889_<85>

= 71 · 68657377459057355674781597538761516277707_<41> · 387490315566668163523438761005514656135837_<42> (Makoto Kamada / GGNFS-0.54.5b)

(17·10⁸⁵+1)/9 =

18888888888888888888888888888888888888888888888888888888888888888888888888888888888889_<86>

= 1487867 · 690352831111759_<15> · 18389553736207902065935380886253386157908209842953483454012751413_<65>

(17·10⁸⁶+1)/9 =

188888888888888888888888888888888888888888888888888888888888888888888888888888888888889_<87>

= 3 · 7 · 8994708994708994708994708994708994708994708994708994708994708994708994708994708994709_<85>

(17·10⁸⁷+1)/9 =

1888888888888888888888888888888888888888888888888888888888888888888888888888888888888889_<88>

= 53 · 874293377 · 4440255156529458416593_<22> · 9180480797325830169074151611663698594384539130158344933_<55>

(17·10⁸⁸+1)/9 =

18888888888888888888888888888888888888888888888888888888888888888888888888888888888888889_<89>

= 13 · 82285264406820096581_<20> · 17657978782298521370886750946242482127654493941635593404891062473913_<68>

(17·10⁸⁹+1)/9 =

188888888888888888888888888888888888888888888888888888888888888888888888888888888888888889_<90>

= 3 · 283 · 44676439 · 390764256194093987_<18> · 626202891340045442251_<21> · 20351211706427432367700951454658538624127_<41>

(17·10⁹⁰+1)/9 =

1888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889_<91>

= 31019 · 60894577158802311128304874073596469547338369673067761336241944901153773135461777906731_<86>

(17·10⁹¹+1)/9 =

18888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889_<92>

= 19 · 29 · 1061 · 70981 · 685057131086146508216792533_<27> · 664462573953886870942077347228111389895470898321885563_<54>

(17·10⁹²+1)/9 =

188888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889_<93>

= 3² · 7 · 557 · 3499 · 115022279 · 13374721778166193800120684711752699902787058796976052730836348425373376877999_<77>

(17·10⁹³+1)/9 =

1888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889_<94>

= 4243 · 85549 · 7509233 · 1010800847279_<13> · 820858928366870521_<18> · 835196641362320679949137384318294030730126383641_<48>

(17·10⁹⁴+1)/9 =

18888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889_<95>

= 13 · 10840091 · 16389030519502000673189107470125664913_<38> · 8178560442885808673711251377253161550614245494391_<49> (Makoto Kamada / GGNFS-0.54.5b)

(17·10⁹⁵+1)/9 =

188888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889_<96>

= 3 · 1671888433_<10> · 37766034340881167_<17> · 997186706759816867178050895258414137826192764762412107373387733062733_<69>

(17·10⁹⁶+1)/9 =

1888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889_<97>

= 79 · 457 · 22669 · 47837 · 515639 · 59211880037_<11> · 984241646822647_<15> · 24681089271480479403980501_<26> · 65049828148797771389327951_<26>

(17·10⁹⁷+1)/9 =

18888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889_<98>

= 31 · 41295211 · 225664248613_<12> · 64859031159319147057_<20> · 1008119025954763047155407216041916420578177917236656910369_<58>

(17·10⁹⁸+1)/9 =

188888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889_<99>

= 3 · 7 · 8994708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994709_<97>

(17·10⁹⁹+1)/9 =

1888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889_<100>

= 1330943 · 510376079 · 2021920955912164864811893_<25> · 1375284254884781399084858873906066854483660771869895058997509_<61>

(17·10¹⁰⁰+1)/9 =

18888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889_<101>

= 13 · 53 · 1231 · 552497726717_<12> · 60803973290601103_<17> · 935546430694151854694482909_<27> · 708600306612795123169532624213598663169_<39>

(17·10¹⁰¹+1)/9 =

1(8)₁₀₀9_<102>

= 3² · 61 · 3215309 · 15332487375247529_<17> · 6979088982677331304317833228577630334626743259405285660218612307200722201201_<76>

(17·10¹⁰²+1)/9 =

1(8)₁₀₁9_<103>

= 229 · 8248423095584667637069383794274623968947113051916545366327025715672003881610868510431829209121785541_<100>

(17·10¹⁰³+1)/9 =

1(8)₁₀₂9_<104>

= 967 · 419243413 · 388294072070339_<15> · 3483853863083383933281333776629_<31> · 34442367805384471136791529981655708527964058589_<47> (Makoto Kamada / Msieve 1.35 for P31 x P47 / 8.9 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / May 10, 2008)

(17·10¹⁰⁴+1)/9 =

1(8)₁₀₃9_<105>

= 3 · 7 · 23 · 265864911884614770878329372513092064450057351103_<48> · 1470951173457249660790510390603202909803884594187358861_<55> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / 0.65 hours on Cygwin on AMD 64 3400+ / May 11, 2008)

(17·10¹⁰⁵+1)/9 =

1(8)₁₀₄9_<106>

= 44939 · 916073 · 2098183 · 21868024953848616152560301205317099427508889968151743691514864075005815205679990595107989_<89>

(17·10¹⁰⁶+1)/9 =

1(8)₁₀₅9_<107>

= 13 · 167 · 2789 · 778574013914318900902142749_<27> · 4006804656620888493002892211152787320583575089272626306585195154823796619_<73>

(17·10¹⁰⁷+1)/9 =

1(8)₁₀₆9_<108>

= 3 · 347 · 383676889 · 44217033793_<11> · 362305867244323_<15> · 714350757258473033_<18> · 339477530862202007600453_<24> · 121731374455696047020899606151_<30>

(17·10¹⁰⁸+1)/9 =

1(8)₁₀₇9_<109>

= 349 · 59538491 · 550475059 · 8409336511_<10> · 19637390813135028673170366994790111691847138371386416968407752230552095754872179_<80>

(17·10¹⁰⁹+1)/9 =

1(8)₁₀₈9_<110>

= 19 · 79 · 113 · 358384834926227_<15> · 966069961747782317_<18> · 321654086505113187872728494778412937221873857262154637851828846726543467_<72>

(17·10¹¹⁰+1)/9 =

1(8)₁₀₉9_<111>

= 3⁴ · 7 · 379 · 17419 · 212794222035968358157_<21> · 236086657658428956781_<21> · 6600650783685691101076223_<25> · 152174853468371186699966773836058337_<36>

(17·10¹¹¹+1)/9 =

1(8)₁₁₀9_<112>

= 268319064914547697_<18> · 15512359424088219424189_<23> · 30585645546941266981627861_<26> · 14837453471686768857223433459447769228862569353_<47>

(17·10¹¹²+1)/9 =

1(8)₁₁₁9_<113>

= 13 · 31 · 6491 · 20482984766767_<14> · 352530352018783422543209204676955484949314617799603720230266715900167582084313087418104616279_<93>

(17·10¹¹³+1)/9 =

1(8)₁₁₂9_<114>

= 3 · 53 · 89 · 2220046208670695120267_<22> · 18762080918146736784154405984746413_<35> · 320461795922942801708809319235463489099097846767274609_<54> (Sinkiti Sibata / Msieve v. 1.35 for P35 x P54 / 1.21 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / May 11, 2008)

(17·10¹¹⁴+1)/9 =

1(8)₁₁₃9_<115>

= 354169 · 352129237 · 1810070189597_<13> · 42046165462781387868399401_<26> · 1033513490049827549784655279_<28> · 192555452288027000282662796877462551_<36>

(17·10¹¹⁵+1)/9 =

1(8)₁₁₄9_<116>

= 4519 · 85206749882772292395357406238644765829_<38> · 49055767028910420725937601905379783432564947652856091509002810221880045139_<74> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / 1.05 hours on Cygwin on AMD 64 3400+ / May 11, 2008)

(17·10¹¹⁶+1)/9 =

1(8)₁₁₅9_<117>

= 3 · 7² · 31727 · 384587051 · 105308981160315192638369614061818326468250646439616314787149292764387614748597331804466949376989201031_<102>

(17·10¹¹⁷+1)/9 =

1(8)₁₁₆9_<118>

= 4281909650427032769018797087_<28> · 441132355209902880071236552721657351837840731643013402267304134754392529089208362722593447_<90>

(17·10¹¹⁸+1)/9 =

1(8)₁₁₇9_<119>

= 13² · 1076640391_<10> · 3920283946518380501569_<22> · 1090425439874314503024925117_<28> · 1345379322570070893829387373_<28> · 18050564602821757335694676957279_<32>

(17·10¹¹⁹+1)/9 =

1(8)₁₁₈9_<120>

= 3² · 29 · 47 · 71 · 2417 · 44567363 · 86639197230970329577098695493425102913119_<41> · 23238157441907373887888004008759141749503788540363070255980273_<62> (Sinkiti Sibata / GGNFS-0.77.1-20060513-pentium4 snfs / 2.07 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / May 12, 2008)

(17·10¹²⁰+1)/9 =

1(8)₁₁₉9_<121>

= 199 · 117512005951_<12> · 31364380158197_<14> · 72319984606854705642359_<23> · 35610335184427215455940341592989729009922304216168508754763537066932107_<71>

(17·10¹²¹+1)/9 =

1(8)₁₂₀9_<122>

= 1889 · 3943 · 237089141089579_<15> · 3853394749362998634419_<22> · 135767874043603375605744819973_<30> · 20445394499204348003694862307259940390975630891459_<50> (Makoto Kamada / Msieve 1.35 for P30 x P50 / 10 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / May 10, 2008)

(17·10¹²²+1)/9 =

1(8)₁₂₁9_<123>

= 3 · 7 · 79 · 192736559791549_<15> · 5893375689674476727_<19> · 50527621835560960201471_<23> · 7863547569475822138560281_<25> · 252280927777499956074003399449161279127_<39>

(17·10¹²³+1)/9 =

1(8)₁₂₂9_<124>

= 163 · 311 · 7883 · 63472806272291900899683391_<26> · 74469629318016059441383744475051923557372363391678056750899361564204943366110914525670641_<89>

(17·10¹²⁴+1)/9 =

1(8)₁₂₃9_<125>

= 13 · 10010792089_<11> · 3867416877307_<13> · 37529573567910078382247736264717676554520734404526429027429203798443014191647147844477347710428849311_<101>

(17·10¹²⁵+1)/9 =

1(8)₁₂₄9_<126>

= 3 · 97 · 3527 · 3169642646447_<13> · 3815709611003249952027457_<25> · 2023564009703317937632016651871353_<34> · 7519784575053986462805397923095601985475499437171_<49> (Makoto Kamada / Msieve 1.35 for P34 x P49 / 27 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / May 10, 2008)

(17·10¹²⁶+1)/9 =

1(8)₁₂₅9_<127>

= 23 · 53 · 12660840616025647_<17> · 122388373928321287111668332429878195062128932145767885879949221505548411008096564492207623178540074136390173_<108>

(17·10¹²⁷+1)/9 =

1(8)₁₂₆9_<128>

= 19 · 31 · 18379 · 39983 · 4082333 · 10712975491_<11> · 997873118577051000510709181121644811388602737575060104733540781882052165436130149388039616313760431_<99>

(17·10¹²⁸+1)/9 =

1(8)₁₂₇9_<129>

= 3² · 7 · 2129 · 1014122503663_<13> · 2382942323809_<13> · 582755324419092177474480516888231081140389734701360417312506120890576753117021023577738055270580921_<99>

(17·10¹²⁹+1)/9 =

1(8)₁₂₈9_<130>

= 852239 · 273146271888899_<15> · 30492449909076721_<17> · 6729959298046035632672774532523_<31> · 39540756448263316717593054313840418944154669628044642036622503_<62> (Sinkiti Sibata / Msieve v. 1.35 for P31 x P62 / 4.67 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / May 11, 2008)

(17·10¹³⁰+1)/9 =

1(8)₁₂₉9_<131>

= 13 · 1269019156841201657_<19> · 1144972040144916940926317113968659366931650437166432843007307417410242094737224876160457617272717282341300916229_<112>

(17·10¹³¹+1)/9 =

1(8)₁₃₀9_<132>

= 3 · 59 · 157 · 14045271655963944173807_<23> · 37117300691838920385389089950592039_<35> · 43295356781857972099814736448064893_<35> · 301151923637973034474137280902167609_<36> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=305304914 for P35 / May 3, 2008) (Makoto Kamada / Msieve 1.35 for P35 x P36 / 2.1 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / May 10, 2008)

(17·10¹³²+1)/9 =

1(8)₁₃₁9_<133>

= 8803 · 29339 · 78461252861251661_<17> · 764434950764564155154419754456677_<33> · 121936753814368589908864502423562855042102683681063541354324629952254041961_<75> (Sinkiti Sibata / GGNFS-0.77.1-20060513-pentium4 snfs / 6.63 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / May 11, 2008)

(17·10¹³³+1)/9 =

1(8)₁₃₂9_<134>

= 107 · 227 · 4813 · 685170157317962653049_<21> · 1234014527104641903445029379611028313_<37> · 191100667533990229020460551789426582958270387694681889491226478787821_<69> (Sinkiti Sibata / GGNFS-0.77.1-20060513-pentium4 snfs / 7.65 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / May 13, 2008)

(17·10¹³⁴+1)/9 =

1(8)₁₃₃9_<135>

= 3 · 7 · 409 · 1301 · 12714871233905837021626832695666376227_<38> · 1329457769065054174158179915996114710331432479966297431062804648433587475807882771460823363_<91> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / 3.82 hours on Cygwin on AMD 64 3400+ / May 11, 2008)

(17·10¹³⁵+1)/9 =

1(8)₁₃₄9_<136>

= 79 · 23909985935302390998593530239099859353023909985935302390998593530239099859353023909985935302390998593530239099859353023909985935302391_<134>

(17·10¹³⁶+1)/9 =

1(8)₁₃₅9_<137>

= 13 · 131 · 683 · 456409592321987984917_<21> · 135271113016603325460958519014799560369771317_<45> · 263033602744615290623211932004282702100555610794776909675214160549_<66> (Sinkiti Sibata / GGNFS-0.77.1-20060513-pentium4 snfs / 8.98 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / May 14, 2008)

(17·10¹³⁷+1)/9 =

1(8)₁₃₆9_<138>

= 3³ · 1944689 · 8065060301_<10> · 3001660645953381401713_<22> · 148601529651198679556688050910035740797174418655710049121059129667838718912768123266828371719743751_<99>

(17·10¹³⁸+1)/9 =

1(8)₁₃₇9_<139>

= 4510061376844003663_<19> · 31840264865105550282268277463062426428832090106619_<50> · 13153680477112431114501007873566580075045768560448657392843078514243637_<71> (Sinkiti Sibata / GGNFS-0.77.1-20060513-pentium4 snfs / 13.84 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / May 13, 2008)

(17·10¹³⁹+1)/9 =

1(8)₁₃₈9_<140>

= 53 · 193 · 24763 · 2360119705529_<13> · 57146941923551_<14> · 1813455753862241_<16> · 1409539433849391386157353863_<28> · 216301113600834997321151988780206741612128022417052570696441151_<63>

(17·10¹⁴⁰+1)/9 =

1(8)₁₃₉9_<141>

= 3 · 7 · 3023 · 7121 · 142888091809_<12> · 959922253880171_<15> · 43808521896921204679_<20> · 887678841787165579554448685089_<30> · 78336004908801861872486359113613068126829797389465976247_<56> (Sinkiti Sibata / Msieve v. 1.35 for P30 x P56 / 51.98 minutes on Pentium 4 2.4GHz, Windows XP and Cygwin / May 11, 2008)

(17·10¹⁴¹+1)/9 =

1(8)₁₄₀9_<142>

= 109 · 223 · 1231 · 9920880509_<10> · 6363071146350287524561055862580531472128148049294433804065308379772388182804098462170968806651614911283662620340912960769713_<124>

(17·10¹⁴²+1)/9 =

1(8)₁₄₁9_<143>

= 13 · 31 · 664121 · 1807595974287713487169417_<25> · 2064679961982390766828576564307_<31> · 165068032362383046164721138618260190017_<39> · 114561072250177202332934480288322533588561_<42> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=2910867484 for P31 / May 4, 2008) (Makoto Kamada / Msieve 1.35 for P39 x P42 / 13 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / May 10, 2008)

(17·10¹⁴³+1)/9 =

1(8)₁₄₂9_<144>

= 3 · 899753171 · 82020986669_<11> · 651294001984968690031508343706506092549381_<42> · 1309965033693254983247199110421891812341830657407559148798183964348719311977188577_<82> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 7.26 hours on Core 2 Quad Q6700 / May 13, 2008)

(17·10¹⁴⁴+1)/9 =

1(8)₁₄₃9_<145>

= 27437 · 68844585373360385205703571414108280383747818234095888358380613364758861715526073874289787108243936614385278597838280019276483904540907857597_<140>

(17·10¹⁴⁵+1)/9 =

1(8)₁₄₄9_<146>

= 19 · 1345320680927_<13> · 3418229979015433_<16> · 216185077981190809154843053678573920983799523598058069250040542096029379378774110444647040536100893614696824270050741_<117>

(17·10¹⁴⁶+1)/9 =

1(8)₁₄₅9_<147>

= 3² · 7 · 171598487 · 3210829111399465992677672913074119450171_<40> · 5441707777847825911517573089597079709549116073352279752874414335353976222031085839213018547986339_<97> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / 6.41 hours on Cygwin on AMD 64 X2 6000+ / May 14, 2008)

(17·10¹⁴⁷+1)/9 =

1(8)₁₄₆9_<148>

= 29 · 811393638548234794139_<21> · 17702986162478693428127_<23> · 38363237872610521585387_<23> · 4349156966878814739797567495532926740379_<40> · 27177527809746367315985145016239189155489_<41> (Makoto Kamada / Msieve 1.35 for P40 x P41 / 16 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / May 10, 2008)

(17·10¹⁴⁸+1)/9 =

1(8)₁₄₇9_<149>

= 13 · 23 · 79 · 2579 · 125681550014263882017357848163817899931_<39> · 20778615782132915248991027933944063474034054154181_<50> · 118732236759698250781220009050291048271486353167257761_<54> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / 10.43 hours on Cygwin on AMD 64 X2 6000+ / May 13, 2008)

(17·10¹⁴⁹+1)/9 =

1(8)₁₄₈9_<150>

= 3 · 62962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962963_<149>

(17·10¹⁵⁰+1)/9 =

1(8)₁₄₉9_<151>

= 12599100967_<11> · 232362627870787_<15> · 12255622955186676467421637879285692660200973908309_<50> · 52645976406605495742233878007732625356159233240897545278160906703716316402849_<77> (Sinkiti Sibata / GGNFS-0.77.1-20060513-pentium4 snfs / 27.02 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / May 15, 2008)

(17·10¹⁵¹+1)/9 =

1(8)₁₅₀9_<152>

= 1999 · 23053 · 136739 · 3036797 · 10115327 · 241307805079199_<15> · 16052814829035632996593744878571920614918011_<44> · 25191586207757365324351562684284330771481754244914451059244679310463_<68> (Sinkiti Sibata / GGNFS-0.77.1-20060513-pentium4 snfs / 34.49 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / May 17, 2008)

(17·10¹⁵²+1)/9 =

1(8)₁₅₁9_<153>

= 3 · 7 · 53 · 7687 · 14567771 · 58748377 · 25796773320316253375174805423570383630676957156074328198969690334934272247454908061129602575999091335177864765450889924798528973757_<131>

(17·10¹⁵³+1)/9 =

1(8)₁₅₂9_<154>

= 8315732151466041231689611_<25> · 28541740403377503460449760464851_<32> · 7958394580567082714146906680978421208589815943507370321952161983111345260926063331099333458135849_<97> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=3732616468 for P32 / May 4, 2008)

(17·10¹⁵⁴+1)/9 =

1(8)₁₅₃9_<155>

= 13 · 71 · 140600607147819071282411043598609766109102241498072762816470647254054550719_<75> · 145551777955531635886729066649473155038928609925267339235336817734887886875397_<78> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs, Msieve 1.35 / May 12, 2008)

(17·10¹⁵⁵+1)/9 =

1(8)₁₅₄9_<156>

= 3² · 233707265677436331129169_<24> · 7432798877836175924862195765978994856188367_<43> · 12082013223071163764032145160054775612064289873932471918156403070758301397897940923198927_<89> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 15.92 hours on Core 2 Quad Q6700 / May 14, 2008)

(17·10¹⁵⁶+1)/9 =

1(8)₁₅₅9_<157>

= 1570653419_<10> · 413097321610859_<15> · 67407421335827431871_<20> · 1683915841330240179281702206131814655635817_<43> · 25647531544462176640389814319070297296091174784612085044944710867824487_<71> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / 18.48 hours on Cygwin on AMD 64 X2 6000+ / May 15, 2008)

(17·10¹⁵⁷+1)/9 =

1(8)₁₅₆9_<158>

= 31 · 89 · 4993 · 10389319827483729125541276705287706636888901647006845589895676437721_<68> · 131979363484273526432917168541620540675529931962287016158799908174443540210525526807_<84> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs, Msieve 1.35 / May 13, 2008)

(17·10¹⁵⁸+1)/9 =

1(8)₁₅₇9_<159>

= 3 · 7² · 5088556838519157777959041_<25> · 773952255048761259605344760131_<30> · 16713340926956566201930088601647275580275612424791_<50> · 19521671710027297651795646344507570669558565769398567_<53> (Makoto Kamada / GMP-ECM 6.1.3 B1=50000, sigma=243551441 for P30 / Jan 24, 2008) (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona gnfs for P50 x P53 / 4.34 hours on Core 2 Quad Q6700 / May 13, 2008)

(17·10¹⁵⁹+1)/9 =

1(8)₁₅₈9_<160>

= 293 · 337 · 219251 · 57322599431_<11> · 188719078795349_<15> · 410507363263033613_<18> · 19647381232688181069953412880786333001963995006765962485680314568866134968856168825138669535694122127112257_<107>

(17·10¹⁶⁰+1)/9 =

1(8)₁₅₉9_<161>

= 13 · 2776731921313909477_<19> · 23804872312724088177544609_<26> · 3019027540589841111615402443598033601002863914943_<49> · 7281086248778730252929784206334560094320704875958402009234594411847_<67> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 24.37 hours on Core 2 Quad Q6700 / May 15, 2008)

(17·10¹⁶¹+1)/9 =

1(8)₁₆₀9_<162>

= 3 · 61 · 79 · 8706050959_<10> · 1500745417916258090989490493767475717512129544715721072507713947390730301897218198488810039578597386678761980212833002274340278594872755432317174703_<148>

(17·10¹⁶²+1)/9 =

1(8)₁₆₁9_<163>

= 20652191611_<11> · 144101210699_<12> · 5984739686749_<13> · 106054077707332959834477590523831260091466621273728154641273464914261056779373230635013470774678572241790470207808616386372200549_<129>

(17·10¹⁶³+1)/9 =

1(8)₁₆₂9_<164>

= 19 · 709 · 8221 · 9161 · 1458485858955241_<16> · 3449519123911918627_<19> · 1551277918048891382239_<22> · 2385550717872165710704324429964096591491184725629155390101673494162202519321540712155740250065343_<97>

(17·10¹⁶⁴+1)/9 =

1(8)₁₆₃9_<165>

= 3³ · 7 · 999412110523221634332745443856554967666078777189888300999412110523221634332745443856554967666078777189888300999412110523221634332745443856554967666078777189888301_<162>

(17·10¹⁶⁵+1)/9 =

1(8)₁₆₄9_<166>

= 47 · 53 · 491 · 90533 · 2471429458963_<13> · 6902335440126428277953380170495095494993981823725928309142904116509016143497206507835032151531572432240421687672249705006603164887080609793711_<142>

(17·10¹⁶⁶+1)/9 =

1(8)₁₆₅9_<167>

= 13 · 745033 · 7085413956200779_<16> · 671347539145262415473123_<24> · 878173932625410668935107562634861_<33> · 466868291565041584191404564367635894529401621360028875543317445660814498485125130692393_<87> (Robert Backstrom / GMP-ECM 6.1.3 B1=160000, sigma=1450624037 for P33 / May 15, 2008)

(17·10¹⁶⁷+1)/9 =

1(8)₁₆₆9_<168>

= 3 · 439 · 1869749428162746085682491_<25> · 163609302509880042320150939_<27> · 67491671682398385317058511254298691184136924241_<47> · 6946708088484961654717938698979654691930307591413856517996301354013_<67> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona gnfs for P47 x P67 / 17.62 hours on Core 2 Quad Q6700 / May 16, 2008)

(17·10¹⁶⁸+1)/9 =

1(8)₁₆₇9_<169>

= 1722973771_<10> · 441744465139454537703640231879_<30> · [2481741991221985004634806367435162511500001851243969261698889345804447313605921208752074713248912912003924708834291994713684581021_<130>] (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=2835558633 for P30 / May 5, 2008) SUBMIT/RESERVE

(17·10¹⁶⁹+1)/9 =

1(8)₁₆₈9_<170>

= 2286095969_<10> · 61583159712948473_<17> · [134168321346815434942285506994673592803638268962020611376419262011341845173814146151104444227872039130130466930338638784045925621136206412137697_<144>] SUBMIT/RESERVE

(17·10¹⁷⁰+1)/9 =

1(8)₁₆₉9_<171>

= 3 · 7 · 23 · 37501 · 1307923 · 46512393772229041_<17> · [171421607866291812313200872041018111777747035607631972446120880194789721351811495135966923174509935345640583237480954303429007150950878733381_<141>] SUBMIT/RESERVE

(17·10¹⁷¹+1)/9 =

1(8)₁₇₀9_<172>

= 118169 · 2195497105725655013341867_<25> · 7280647129906611758549904310937540808730874435121278419547318218039318603618111739883591741734675072654235394141584688875578698147071871855843_<142>

(17·10¹⁷²+1)/9 =

1(8)₁₇₁9_<173>

= 13 · 31 · 1294930917291103_<16> · 95733537760783307072873_<23> · [378086053259626660228604527249839823962576740803860143985998901243193599227348490163902403670295296333440490821747671419312795416277_<132>] SUBMIT/RESERVE

(17·10¹⁷³+1)/9 =

1(8)₁₇₂9_<174>

= 3² · 1631177846377_<13> · 29848584708034065277_<20> · 2375567706293982739150669_<25> · 750117892989274144279381739_<27> · 241903363276684909035441370958035543558858328855923576798341161083494928075756298023739539_<90>

(17·10¹⁷⁴+1)/9 =

1(8)₁₇₃9_<175>

= 79 · 37199 · 642758835863931584144561150544365691363313798379937697007946276250412641720288822548615159073926680650830374468651120296512969039554584762857341302181761687784886312409_<168>

(17·10¹⁷⁵+1)/9 =

1(8)₁₇₄9_<176>

= 29 · 22159530881744894279825531_<26> · [29393266475020893264563356015230652447605144580209623125912215129803798108645698254514780703583065368534976865503742776834902789530755934352607655511_<149>] SUBMIT/RESERVE

(17·10¹⁷⁶+1)/9 =

1(8)₁₇₅9_<177>

= 3 · 7 · 60029 · 2153839 · 3235763626157_<13> · [21499877392443453066274224111576136287885578476655606266602279575083015665346651721629298629692865398559005793763837389733659884090092815900033653951827_<152>] SUBMIT/RESERVE

(17·10¹⁷⁷+1)/9 =

1(8)₁₇₆9_<178>

= 157396778066711_<15> · 2438952335284021_<16> · [4920477621486656158081142696614369731756712977716347200441201005441810368137403007950667540593605248832697834503840259664163607173513767922612859219_<148>] SUBMIT/RESERVE

(17·10¹⁷⁸+1)/9 =

1(8)₁₇₇9_<179>

= 13 · 53 · 21383 · 739980681469_<12> · 1614311919025664294729_<22> · [1073274272299929470386739964986428312378430566471881580979506315078545448192506275829094405519731393681477356441850128044486014307796169347_<139>] SUBMIT/RESERVE

(17·10¹⁷⁹+1)/9 =

1(8)₁₇₈9_<180>

= 3 · 2743807290418847_<16> · 3561264681645949_<16> · 6443581097780453251820240170726771856391204791840372691404252568605272480701111291479143215154140469912341893186944662956633419996769485195277728721_<148>

(17·10¹⁸⁰+1)/9 =

1(8)₁₇₉9_<181>

= 419 · 619 · 1031 · 11047 · 36990851 · [17286393624102479063836308883289253413484528224713508542512811288855772930141620166514706149540571476216895738686875553876376863277238611907076767785367532584707_<161>] SUBMIT/RESERVE

(17·10¹⁸¹+1)/9 =

1(8)₁₈₀9_<182>

= 19 · 44839 · 48731 · 1008779 · 12003314779_<11> · 5830558817883227437007237_<25> · 758822763085731218605641418771_<30> · 242103400334044748484073044835249209568097447_<45> · 35078653987811118622758840608304843178836958530915817471_<56> (suberi / GMP-ECM 6.2.1 B1=3000000, sigma=2130668955 for P30 / Jun 16, 2008) (Sinkiti Sibata / Msieve v. 1.36 for P45 x P56 / 21.41 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Jun 20, 2008)

(17·10¹⁸²+1)/9 =

1(8)₁₈₁9_<183>

= 3² · 7 · 1231 · 832014015458685569_<18> · 221620344427691306893_<21> · [13208927057606133581859594468959459656477990876281851591165679179160433180190530306189981423544980783646024600344202049355800046243637020589_<140>] SUBMIT/RESERVE

(17·10¹⁸³+1)/9 =

1(8)₁₈₂9_<184>

= 319747 · 42064223 · 173393162713_<12> · 139767067761204436361_<21> · 5794957298391765686088964776881086659021163721102908520748032946182612933529255499187930556319653602298906617006034806509755814988575148333_<139>

(17·10¹⁸⁴+1)/9 =

1(8)₁₈₃9_<185>

= 13 · 257 · 314450540959_<12> · 3451394725393_<13> · 21370262564387263_<17> · 135277056908922227124923_<24> · 1801975802134421621013624223497811951954185202253183263879379044827802258177994122224214916537182203294704823959723383_<118>

(17·10¹⁸⁵+1)/9 =

1(8)₁₈₄9_<186>

= 3 · 75931 · 49452800414894717_<17> · 16767763807837814850247143242185008122470302385036938763942439735592811777022833799179269432794177342334154435860356852685838675675720398066617792198270498699483869_<164>

(17·10¹⁸⁶+1)/9 =

1(8)₁₈₅9_<187>

= 107 · 479 · 2381 · 4423 · 124739 · [28054887269866090723319678111632521327308513844999316965977246304802368110922805020220679320769127608282125107256159154635117545246310972467332709607700157366089691902309_<170>] SUBMIT/RESERVE

(17·10¹⁸⁷+1)/9 =

1(8)₁₈₆9_<188>

= 31 · 79 · 130843 · 1593572820774525571_<19> · [36990927396815859059393823058949363811291578143108266697957144737096179820373494153608334913215733860110912776888797033938514396925023349847952530490572380888537_<161>] SUBMIT/RESERVE

(17·10¹⁸⁸+1)/9 =

1(8)₁₈₇9_<189>

= 3 · 7 · 495608171 · 18148831115032190841330396456899809081224185455790224873017093567468633823219813288165086989646724356990060014556759587220354179743152367657382123739660851372433706293169639265279_<179>

(17·10¹⁸⁹+1)/9 =

1(8)₁₈₈9_<190>

= 59 · 71 · 1617391 · 12524207 · 3607698986231981_<16> · 370127884625109553441_<21> · 1756706333511604963524042522871_<31> · 668814360582016023721300568011912207_<36> · 14188743452434643875801927553951755349395681019380535143529908397628329_<71> (Serge Batalov / GMP-ECM 6.2.1 B1=1000000, sigma=1009539771 for P31 / Aug 5, 2008)

(17·10¹⁹⁰+1)/9 =

1(8)₁₈₉9_<191>

= 13 · 649123 · 707912267722698978623_<21> · 24592951456281913764228758669239_<32> · [128571873140924523664948060149189103090155858942672937006248438418113765818485839629694932311203935787591124351688800743261858830663_<132>] (suberi / GMP-ECM 6.2.1 B1=3000000, sigma=1152808808 for P32 / Jun 16, 2008) SUBMIT/RESERVE

(17·10¹⁹¹+1)/9 =

1(8)₁₉₀9_<192>

= 3⁵ · 53² · 5637641 · [49085247167186870804081419507141151171976392978696318961004736407116113647522971801475539643045102602420873552615340785807798435861711644910474602438269222268406475238025553956067_<179>] SUBMIT/RESERVE

(17·10¹⁹²+1)/9 =

1(8)₁₉₁9_<193>

= 23 · 1948662034201098323710903730958276574627075333548724371561250262056978094886490485343891106957_<94> · 42144611237527240110223119654035423284203139603203167827807897848137401763143004307433958811849899_<98> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon, Msieve 1.36 snfs / 177.74 hours, 7.98 hours / Aug 25, 2008)

(17·10¹⁹³+1)/9 =

1(8)₁₉₂9_<194>

= 22542178234267_<14> · 11980646372633070109024401282997_<32> · [69940749688561145381019932135388388715543875603533678301803871969509414046801742249561262794374624134116748872717311271399294893990627625252677211311_<149>] (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=1906493851 for P32 / May 8, 2008) SUBMIT/RESERVE

(17·10¹⁹⁴+1)/9 =

1(8)₁₉₃9_<195>

= 3 · 7 · 69997 · [128501349982270593153916724926911077746113533361558276911792062441375983384926625351214976484630898391488131048397916977998981513417846403545790662381373411846146391912639037515817949265097_<189>] SUBMIT/RESERVE

(17·10¹⁹⁵+1)/9 =

1(8)₁₉₄9_<196>

= 626987 · 6054774813189939559_<19> · 497565064931818330434462497404790521830617300974397485242796284893679591038532724483959558303646546903389324745230096980679553100272525970109346257371300892030595512907933_<171>

(17·10¹⁹⁶+1)/9 =

1(8)₁₉₅9_<197>

= 13² · 1567 · [71326466692428108166167171616094103944479478326613960603455473614032349489617174070563693066270259338837219157281991703473221317215230130649108607971697658016444526679664866302733859554830543_<191>] SUBMIT/RESERVE

(17·10¹⁹⁷+1)/9 =

1(8)₁₉₆9_<198>

= 3 · 1783 · 3413 · 1828331 · 6389137 · 1191119701679_<13> · 8815252852432204901_<19> · [84354901011656837473697100461360840512927835673824282048682948500330770957014891754878880683685686156085919078638921977848145337797011934711012169_<146>] SUBMIT/RESERVE

(17·10¹⁹⁸+1)/9 =

1(8)₁₉₇9_<199>

= 2017966990561113252691_<22> · [936035573289366306098995029998732653282924557748882874838924173985835666681835182940848727353952516552872238346545861164807617128613183520211983149396425697773866098870970909379_<177>] SUBMIT/RESERVE

(17·10¹⁹⁹+1)/9 =

1(8)₁₉₈9_<200>

= 19 · 11426677 · 123255622367_<12> · 141857715300391_<15> · [4975917368733220365558305331500124074308288190837268228655811972937397809427911846724158181135477421532689578209272978250140591487780620475161238667399761949511446799_<166>] SUBMIT/RESERVE

(17·10²⁰⁰+1)/9 =

1(8)₁₉₉9_<201>

= 3² · 7² · 79 · 253537 · 706539269 · 30266561120469566889258876289269262997466169901539877739359691139044939200711145394186472737428848999280383175714582613187551534616927834528754299489982403373313874464679854909115267_<182>