Factorizations of 677...77

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Factorizations of 677...77	2008-10-23(Thu) 21:36

Last update

Oct 23, 2008 21:36 JST

Sequence

6, 67, 677, 6777, 67777, ...

General term

(61·10ⁿ-7)/9

Room for prime numbers

upper limit of periods: 10000
upper limit of periodical factors: 4294967296
checked terms: 100000000
terms divided by periodical factors: 78923202
room for prime numbers: 21.08%

Prime numbers

(61·10¹-7)/9 = 67 is prime. (Makoto Kamada / May 10, 2003)
(61·10²-7)/9 = 677 is prime. (Makoto Kamada / May 10, 2003)
(61·10⁴-7)/9 = 67777 is prime. (Makoto Kamada / May 10, 2003)
(61·10¹⁰-7)/9 = 6(7)₁₀_<11> is prime. (Makoto Kamada / May 10, 2003)
(61·10¹³-7)/9 = 6(7)₁₃_<14> is prime. (Makoto Kamada / May 10, 2003)
(61·10²⁵-7)/9 = 6(7)₂₅_<26> is prime. (Makoto Kamada / PPSIQS / May 10, 2003)
(61·10¹¹⁵-7)/9 = 6(7)₁₁₅_<116> is prime. (Makoto Kamada / PPSIQS / May 10, 2003)
(61·10¹⁷⁹-7)/9 = 6(7)₁₇₉_<180> is prime. (Makoto Kamada / PPSIQS / May 10, 2003)
(61·10¹⁸¹-7)/9 = 6(7)₁₈₁_<182> is prime. (Makoto Kamada / PPSIQS / May 10, 2003)
(61·10²³⁸-7)/9 = 6(7)₂₃₈_<239> is prime. (Makoto Kamada / PPSIQS / May 10, 2003)
(61·10⁷⁸⁵-7)/9 = 6(7)₇₈₅_<786> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Jun 3, 2006)
(61·10⁷⁹⁹-7)/9 = 6(7)₇₉₉_<800> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Jun 3, 2006)
(61·10¹¹⁹³-7)/9 = 6(7)₁₁₉₃_<1194> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Sep 11, 2006)
(61·10¹⁷³⁰-7)/9 = 6(7)₁₇₃₀_<1731> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Jul 26, 2006)
(61·10¹⁸¹¹-7)/9 = 6(7)₁₈₁₁_<1812> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Jun 26, 2006)
(61·10¹⁸⁷¹-7)/9 = 6(7)₁₈₇₁_<1872> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Jul 8, 2006)
(61·10²¹¹⁶-7)/9 = 6(7)₂₁₁₆_<2117> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Maksym Voznyy / PRIMO 3.0.5 / Jan 6, 2008)
(61·10²¹⁸⁰-7)/9 = 6(7)₂₁₈₀_<2181> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Maksym Voznyy / PRIMO 3.0.5 / Jan 6, 2008)
(61·10¹⁷⁸⁷⁸-7)/9 = 6(7)₁₇₈₇₈_<17879> is PRP. (Maksym Voznyy / Jan 6, 2008)
(61·10²²⁰⁹³-7)/9 = 6(7)₂₂₀₉₃_<22094> is PRP. (Maksym Voznyy / Jan 6, 2008)
(61·10³⁰⁹⁷⁶-7)/9 = 6(7)₃₀₉₇₆_<30977> is PRP. (Maksym Voznyy / Jan 2008)
(61·10³¹⁶³¹-7)/9 = 6(7)₃₁₆₃₁_<31632> is PRP. (Maksym Voznyy / Jan 2008)
(61·10⁴³²⁷¹-7)/9 = 6(7)₄₃₂₇₁_<43272> is PRP. (Maksym Voznyy / Jan 2008)

Searched:

1-27000

References:

A056718 (On-Line Encyclopedia of Integer Sequences)
A093942 (On-Line Encyclopedia of Integer Sequences)

Condition

n≤200

Status

Completed up to n=100. (May 10, 2003)
Completed up to n=150. (May 12, 2005)
The following numbers are not factored yet. (n≤200)
n= 171, 176, 183, 184, 185, 189, 190, 191, 194, 196, 197, 200 (12/200)

Factorization results

(61·10¹-7)/9 =: 67; = definitely prime number

(61·10²-7)/9 =: 677; = definitely prime number

(61·10³-7)/9 =: 6777; = 3³ · 251

(61·10⁴-7)/9 =: 67777; = definitely prime number

(61·10⁵-7)/9 =: 677777; = 571 · 1187

(61·10⁶-7)/9 =: 6777777; = 3 · 317 · 7127

(61·10⁷-7)/9 =: 67777777; = 337 · 201121

(61·10⁸-7)/9 =: 677777777; = 17 · 23 · 331 · 5237

(61·10⁹-7)/9 =: 6777777777_<10>; = 3 · 43 · 1193 · 44041

(61·10¹⁰-7)/9 =: 67777777777_<11>; = definitely prime number

(61·10¹¹-7)/9 =: 677777777777_<12>; = 475229 · 1426213

(61·10¹²-7)/9 =: 6777777777777_<13>; = 3² · 1249 · 602951497

(61·10¹³-7)/9 =: 67777777777777_<14>; = definitely prime number

(61·10¹⁴-7)/9 =: 677777777777777_<15>; = 19 · 63067 · 565628849

(61·10¹⁵-7)/9 =: 6777777777777777_<16>; = 3 · 12617879 · 179052221

(61·10¹⁶-7)/9 =: 67777777777777777_<17>; = 47 · 1442080378250591_<16>

(61·10¹⁷-7)/9 =: 677777777777777777_<18>; = 87151 · 7777051069727_<13>

(61·10¹⁸-7)/9 =: 6777777777777777777_<19>; = 3 · 13729 · 23629 · 6964369799_<10>

(61·10¹⁹-7)/9 =: 67777777777777777777_<20>; = 59 · 81703957 · 14060223479_<11>

(61·10²⁰-7)/9 =: 677777777777777777777_<21>; = 4919 · 6469 · 36637 · 581371111

(61·10²¹-7)/9 =: 6777777777777777777777_<22>; = 3² · 29 · 97 · 1765033 · 151677881557_<12>

(61·10²²-7)/9 =: 67777777777777777777777_<23>; = 479 · 1259 · 2899277 · 38764695041_<11>

(61·10²³-7)/9 =: 677777777777777777777777_<24>; = 887 · 1225707137_<10> · 623414631383_<12>

(61·10²⁴-7)/9 =: 6777777777777777777777777_<25>; = 3 · 17 · 60447691 · 2198555499594497_<16>

(61·10²⁵-7)/9 =: 67777777777777777777777777_<26>; = definitely prime number

(61·10²⁶-7)/9 =: 677777777777777777777777777_<27>; = 45499213 · 602425891 · 24727477319_<11>

(61·10²⁷-7)/9 =: 6777777777777777777777777777_<28>; = 3 · 145649807 · 15511584297940465237_<20>

(61·10²⁸-7)/9 =: 67777777777777777777777777777_<29>; = 55694817788627_<14> · 1216949448241451_<16>

(61·10²⁹-7)/9 =: 677777777777777777777777777777_<30>; = 157 · 4317055909412597310686482661_<28>

(61·10³⁰-7)/9 =: 6777777777777777777777777777777_<31>; = 3⁴ · 23 · 43 · 2521 · 33560866822414286881693_<23>

(61·10³¹-7)/9 =: 67777777777777777777777777777777_<32>; = 804653 · 11532727 · 7303763114485478867_<19>

(61·10³²-7)/9 =: 677777777777777777777777777777777_<33>; = 19 · 149 · 533051 · 58391173441_<11> · 7691862121037_<13>

(61·10³³-7)/9 =: 6777777777777777777777777777777777_<34>; = 3 · 71 · 2063 · 10839778522283_<14> · 1422944906254601_<16>

(61·10³⁴-7)/9 =: 67777777777777777777777777777777777_<35>; = 67 · 1657 · 378551 · 70129877 · 22996542190730929_<17>

(61·10³⁵-7)/9 =: 677777777777777777777777777777777777_<36>; = 191 · 3548574752763234438627108784176847_<34>

(61·10³⁶-7)/9 =: 6777777777777777777777777777777777777_<37>; = 3 · 83 · 15583 · 1746774759379629221571591577831_<31>

(61·10³⁷-7)/9 =: 67777777777777777777777777777777777777_<38>; = 229 · 7013 · 23609 · 1787600272360590885463785889_<28>

(61·10³⁸-7)/9 =: 677777777777777777777777777777777777777_<39>; = 89 · 468071 · 16269926248771050453998822606783_<32>

(61·10³⁹-7)/9 =: 6777777777777777777777777777777777777777_<40>; = 3² · 2739761 · 145311175123447_<15> · 1891616623580927759_<19>

(61·10⁴⁰-7)/9 =: 67777777777777777777777777777777777777777_<41>; = 17² · 234525182622068435217224144559784698193_<39>

(61·10⁴¹-7)/9 =: 677777777777777777777777777777777777777777_<42>; = 1091 · 621244525919136368265607495671656991547_<39>

(61·10⁴²-7)/9 =: 6777777777777777777777777777777777777777777_<43>; = 3 · 14869 · 21841 · 2396644429_<10> · 2902740313819073663711899_<25>

(61·10⁴³-7)/9 =: 67777777777777777777777777777777777777777777_<44>; = 701 · 24953 · 20500881669019_<14> · 189005308477222337473111_<24>

(61·10⁴⁴-7)/9 =: 677777777777777777777777777777777777777777777_<45>; = 42829 · 146503597 · 1162264611671_<13> · 92938592013069180799_<20>

(61·10⁴⁵-7)/9 =: 6777777777777777777777777777777777777777777777_<46>; = 3 · 617 · 1637 · 7651035645269_<13> · 292355993843083279667294059_<27>

(61·10⁴⁶-7)/9 =: 67777777777777777777777777777777777777777777777_<47>; = 5571023 · 12166127796955384635421138591202688945599_<41>

(61·10⁴⁷-7)/9 =: 677777777777777777777777777777777777777777777777_<48>; = 3163 · 214283205114694207327783047036919942389433379_<45>

(61·10⁴⁸-7)/9 =: 6777777777777777777777777777777777777777777777777_<49>; = 3² · 3373 · 17212135293751297_<17> · 12971605249641941390785909613_<29>

(61·10⁴⁹-7)/9 =: 67777777777777777777777777777777777777777777777777_<50>; = 29 · 49789 · 46941387675146205108161806809410039870167817_<44>

(61·10⁵⁰-7)/9 =: 677777777777777777777777777777777777777777777777777_<51>; = 19 · 1123 · 7857403 · 2314078316573_<13> · 1747016018594065740800719159_<28>

(61·10⁵¹-7)/9 =: 6777777777777777777777777777777777777777777777777777_<52>; = 3 · 43 · 193 · 197 · 59473 · 78539 · 511171541 · 578764919815927987857491339_<27>

(61·10⁵²-7)/9 =: 67777777777777777777777777777777777777777777777777777_<53>; = 23 · 199 · 3497161 · 4234389329808758935152990171529986959388041_<43>

(61·10⁵³-7)/9 =: 677777777777777777777777777777777777777777777777777777_<54>; = 251 · 1777103 · 3959191 · 383790791706065720373642951887035803899_<39>

(61·10⁵⁴-7)/9 =: 6777777777777777777777777777777777777777777777777777777_<55>; = 3 · 6691 · 70843 · 86419871 · 55152408556062104790533651087885259733_<38>

(61·10⁵⁵-7)/9 =: 67777777777777777777777777777777777777777777777777777777_<56>; = 12330646513581426228167_<23> · 5496692951429987710623758848013831_<34>

(61·10⁵⁶-7)/9 =: 677777777777777777777777777777777777777777777777777777777_<57>; = 17 · 2909 · 155779831 · 87979898091903046112079986495923572672987539_<44>

(61·10⁵⁷-7)/9 =: 6777777777777777777777777777777777777777777777777777777777_<58>; = 3³ · 967 · 24407 · 743206991897_<12> · 14311096146106701645620614599887104507_<38>

(61·10⁵⁸-7)/9 =: 67777777777777777777777777777777777777777777777777777777777_<59>; = 7121 · 6548207 · 48783440977858326355607_<23> · 29795557077780887604603113_<26>

(61·10⁵⁹-7)/9 =: 677777777777777777777777777777777777777777777777777777777777_<60>; = 1283 · 279127 · 2441793902321_<13> · 857173886475383_<15> · 904234107502857937394779_<24>

(61·10⁶⁰-7)/9 =: 6777777777777777777777777777777777777777777777777777777777777_<61>; = 3 · 563 · 2423 · 307384406819587_<15> · 5387936011518032903372361884460639891493_<40>

(61·10⁶¹-7)/9 =: 67777777777777777777777777777777777777777777777777777777777777_<62>; = 397 · 25913 · 17111485739_<11> · 21319202542439_<14> · 18060112383471859976546136998417_<32>

(61·10⁶²-7)/9 =: 677777777777777777777777777777777777777777777777777777777777777_<63>; = 47 · 167 · 13469 · 890501 · 1779179688588367807187_<22> · 4046536108803951631344594691_<28>

(61·10⁶³-7)/9 =: 6777777777777777777777777777777777777777777777777777777777777777_<64>; = 3 · 483083432831_<12> · 4676747546525011124987153387605590237172558988048389_<52>

(61·10⁶⁴-7)/9 =: 67777777777777777777777777777777777777777777777777777777777777777_<65>; = 131 · 151 · 8428087734343243819_<19> · 10273593172559997211_<20> · 39571969967619460213013_<23>

(61·10⁶⁵-7)/9 =: 677777777777777777777777777777777777777777777777777777777777777777_<66>; = 18664093999_<11> · 36314528731696931365083925806570718277798456011611184223_<56>

(61·10⁶⁶-7)/9 =: 6777777777777777777777777777777777777777777777777777777777777777777_<67>; = 3² · 109 · 547 · 12630803880265776961123835093052788684787521925315506092499311_<62>

(61·10⁶⁷-7)/9 =: 67777777777777777777777777777777777777777777777777777777777777777777_<68>; = 67 · 1303 · 41660871176629314928240007_<26> · 18635444657821085852887281753819790811_<38>

(61·10⁶⁸-7)/9 =: 677777777777777777777777777777777777777777777777777777777777777777777_<69>; = 19 · 71 · 19681 · 214439 · 12169642373459_<14> · 9782427216927755676442675291526728119743833_<43>

(61·10⁶⁹-7)/9 =: 6777777777777777777777777777777777777777777777777777777777777777777777_<70>; = 3 · 457 · 39313 · 125751647748063096330419108987854322455306612027616950181693299_<63>

(61·10⁷⁰-7)/9 =: 67777777777777777777777777777777777777777777777777777777777777777777777_<71>; = 2861 · 2027903 · 29270880262937_<14> · 5929947070372477_<16> · 67303196321494905910337449979231_<32>

(61·10⁷¹-7)/9 =: 677777777777777777777777777777777777777777777777777777777777777777777777_<72>; = 5667371 · 119592978433523723394458873043211354573007092314545452870083461587_<66>

(61·10⁷²-7)/9 =: 6777777777777777777777777777777777777777777777777777777777777777777777777_<73>; = 3 · 17 · 43 · 947 · 142466173426298017_<18> · 22907988444812789734563562414129634207857166314811_<50>

(61·10⁷³-7)/9 =: 67777777777777777777777777777777777777777777777777777777777777777777777777_<74>; = 16984794308498197_<17> · 8620687804823965921_<19> · 462897799465223272738759454964807335821_<39>

(61·10⁷⁴-7)/9 =: 677777777777777777777777777777777777777777777777777777777777777777777777777_<75>; = 23 · 719 · 40985534122136891683967937218224452910308869672720431624706886241626521_<71>

(61·10⁷⁵-7)/9 =: 6777777777777777777777777777777777777777777777777777777777777777777777777777_<76>; = 3² · 383 · 34322115140682410407_<20> · 57289099819043673472411918934985923506966332177519313_<53>

(61·10⁷⁶-7)/9 =: 67777777777777777777777777777777777777777777777777777777777777777777777777777_<77>; = 11036691332533730753_<20> · 6141131951202064006150493010872298490748773322445733817009_<58>

(61·10⁷⁷-7)/9 =: 677777777777777777777777777777777777777777777777777777777777777777777777777777_<78>; = 29 · 59 · 83 · 953 · 1487 · 12415258210429292551_<20> · 142240711590930334309981_<24> · 1907109729695068181668969_<25>

(61·10⁷⁸-7)/9 =: 6777777777777777777777777777777777777777777777777777777777777777777777777777777_<79>; = 3 · 113 · 34389599 · 9280231242931732009_<19> · 62647207573933786420224219000227230309062077091373_<50>

(61·10⁷⁹-7)/9 =: 67777777777777777777777777777777777777777777777777777777777777777777777777777777_<80>; = 5953 · 421621122623864633_<18> · 7358652880481178503_<19> · 3669701722075442334796994975703381708991_<40>

(61·10⁸⁰-7)/9 =: 677777777777777777777777777777777777777777777777777777777777777777777777777777777_<81>; = 279250498981_<12> · 69787253212408447087_<20> · 34779013782360660010521178224679967677862200600691_<50>

(61·10⁸¹-7)/9 =: 6777777777777777777777777777777777777777777777777777777777777777777777777777777777_<82>; = 3 · 2259259259259259259259259259259259259259259259259259259259259259259259259259259259_<82>

(61·10⁸²-7)/9 =: 67777777777777777777777777777777777777777777777777777777777777777777777777777777777_<83>; = 89 · 33679 · 1816813 · 17325313 · 1238951023_<10> · 897849949319180479417_<21> · 645786425452001313448335172311173_<33>

(61·10⁸³-7)/9 =: 677777777777777777777777777777777777777777777777777777777777777777777777777777777777_<84>; = 3844097161_<10> · 176316505382361686299161099111921686876888431951311383041750795584996863657_<75>

(61·10⁸⁴-7)/9 =: 6777777777777777777777777777777777777777777777777777777777777777777777777777777777777_<85>; = 3³ · 5023 · 12713 · 38861 · 2695188757_<10> · 31057247557381_<14> · 13875271807499030437_<20> · 87097304518292514292316094221_<29>

(61·10⁸⁵-7)/9 =: 67777777777777777777777777777777777777777777777777777777777777777777777777777777777777_<86>; = 317 · 5237 · 40826813926976625176584336384568776147984751653502696343343064170180617155520913_<80>

(61·10⁸⁶-7)/9 =: 677777777777777777777777777777777777777777777777777777777777777777777777777777777777777_<87>; = 19 · 385350737 · 46438580493230491_<17> · 1993419006015056643516057276749771140952375120780187405625249_<61>

(61·10⁸⁷-7)/9 =: 6777777777777777777777777777777777777777777777777777777777777777777777777777777777777777_<88>; = 3 · 209061661 · 202942330748854974782917_<24> · 53249928681374527852063291649038891909189781343690960907_<56>

(61·10⁸⁸-7)/9 =: 67777777777777777777777777777777777777777777777777777777777777777777777777777777777777777_<89>; = 17 · 87744191566738144549353721_<26> · 45438085796741427160382973650900153239342518016793457078856361_<62> (Tetsuya Kobayashi / GMP-ECM 5.0.1)

(61·10⁸⁹-7)/9 =: 677777777777777777777777777777777777777777777777777777777777777777777777777777777777777777_<90>; = 359 · 1327 · 2113451 · 6736680409_<10> · 971302857829_<12> · 1401463531312283_<16> · 73408670476949238744327941350423013326453_<41>

(61·10⁹⁰-7)/9 =: 6777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777_<91>; = 3 · 7907 · 107467 · 13860258897602123_<17> · 38811108947929657700128303_<26> · 4942558427994969079751955893923891917119_<40>

(61·10⁹¹-7)/9 =: 67777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777_<92>; = 1663 · 55834047751_<11> · 90389100453673362271217965511_<29> · 8075694815101126293112765059003569974382476506239_<49>

(61·10⁹²-7)/9 =: 677777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777_<93>; = 1789 · 128819 · 67602449 · 46166936250477913069_<20> · 312674816616496672061_<21> · 3013773944304576959555709954437539567_<37>

(61·10⁹³-7)/9 =: 6777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777_<94>; = 3² · 43 · 421 · 4327314973253_<13> · 426998746799632692035497_<24> · 22513818305818882401172167658095857138237413514840411_<53>

(61·10⁹⁴-7)/9 =: 67777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777_<95>; = 23845957 · 52894497627551_<14> · 9352447021000010051_<19> · 5745618890362361979567937488766929028257239300548688161_<55>

(61·10⁹⁵-7)/9 =: 677777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777_<96>; = 480878891 · 5111777453_<10> · 22428185519_<11> · 31605056173_<11> · 58264185294079_<14> · 6676168505312216971776847300383004836880363_<43>

(61·10⁹⁶-7)/9 =: 6777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777_<97>; = 3 · 23 · 43879333467956833740811_<23> · 1077459809383978493157151938416430983_<37> · 2077672700696735735093314885860302641_<37> (Tetsuya Kobayashi / GMP-ECM 5.0.1 B1=1000000)

(61·10⁹⁷-7)/9 =: 67777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777_<98>; = 277421 · 6471944000341_<13> · 7094394718082914071150304747_<28> · 5321056787044124702459467116638368381478871672648131_<52> (Tetsuya Kobayashi / GMP-ECM 5.0.1)

(61·10⁹⁸-7)/9 =: 677777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777_<99>; = 77504323262498213509754544429791_<32> · 8745031880121351839433175291487262748989650245710119765330414633647_<67>

(61·10⁹⁹-7)/9 =: 6777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777_<100>; = 3 · 292977913 · 1602365867_<10> · 6442318493431999_<16> · 15738728939291749472410914429289_<32> · 47463270164049265731929643688909039_<35>

(61·10¹⁰⁰-7)/9 =: 6(7)₁₀₀_<101>; = 67 · 1684308901709637897311_<22> · 600607538511552511023789556819569905371071479399106954487968709118026871507621_<78>

(61·10¹⁰¹-7)/9 =: 6(7)₁₀₁_<102>; = 1301 · 32590742729_<11> · 24903477064381429_<17> · 17100203581827356835150238396628233_<35> · 37536562798650897482177614428008969609_<38>

(61·10¹⁰²-7)/9 =: 6(7)₁₀₂_<103>; = 3² · 1782887 · 7061836768291_<13> · 2998494784428993301271_<22> · 19948030577887300839107349168159603762813728843426630278779779_<62>

(61·10¹⁰³-7)/9 =: 6(7)₁₀₃_<104>; = 71 · 251 · 263 · 14004427 · 27940907 · 119091097 · 310323287355642023443255164308121272365338371006789280013712929957914661603_<75>

(61·10¹⁰⁴-7)/9 =: 6(7)₁₀₄_<105>; = 17 · 19 · 569 · 29983 · 7165463 · 407017210596103_<15> · 2163055886605553_<16> · 4299286543808360481033168647_<28> · 4534989531012527617947363723163_<31>

(61·10¹⁰⁵-7)/9 =: 6(7)₁₀₅_<106>; = 3 · 29 · 32148274203793268831534339250005187593153_<41> · 2423318004715875237085797454768846554550215342970015001720151607_<64> (Naoki Yamamoto / GGNFS 6h)

(61·10¹⁰⁶-7)/9 =: 6(7)₁₀₆_<107>; = 74919143679467_<14> · 2519823966129101_<16> · 13869354497019628239019_<23> · 25886186146202156777580697414694358985154371912781573149_<56>

(61·10¹⁰⁷-7)/9 =: 6(7)₁₀₇_<108>; = 157 · 179 · 19853308877069_<14> · 58276019278733258760353591653516862947_<38> · 20845478301475772097318861831763485519735834582896513_<53> (Naoki Yamamoto)

(61·10¹⁰⁸-7)/9 =: 6(7)₁₀₈_<109>; = 3 · 47 · 2131 · 2097156898374800364913_<22> · 10756075447140177750551324177391378043880340614929827240268952502711724722005006599_<83>

(61·10¹⁰⁹-7)/9 =: 6(7)₁₀₉_<110>; = 3613 · 84635437 · 410861838787_<12> · 66783137315294023759_<20> · 8078012116392614268419340726309165640996160784096651964693793515549_<67>

(61·10¹¹⁰-7)/9 =: 6(7)₁₁₀_<111>; = 39738042139_<11> · 17056144220869607291594849193779948691039304596922879058950553944848384312539917249438945182698342243_<101>

(61·10¹¹¹-7)/9 =: 6(7)₁₁₁_<112>; = 3⁵ · 9871 · 344664799369433_<15> · 1560773166512050647257440877_<28> · 5252707034262033971211409319604914039023885965235006929108814049_<64> (Naoki Yamamoto)

(61·10¹¹²-7)/9 =: 6(7)₁₁₂_<113>; = 12181250617_<11> · 748684396165197320476513207_<27> · 7431845375837165302924679563708369664225867625423550348756302212030159723983_<76>

(61·10¹¹³-7)/9 =: 6(7)₁₁₃_<114>; = 164443 · 62717503 · 84243242477_<11> · 389496820482749004699211424659822744179148351_<45> · 2002830442986946774664791687039738311228128719_<46> (Naoki Yamamoto)

(61·10¹¹⁴-7)/9 =: 6(7)₁₁₄_<115>; = 3 · 43 · 42143328719_<11> · 233828083258089181_<18> · 1764198398789631168442829_<25> · 3022210334843854875646758652712102802085971127962115282565623_<61>

(61·10¹¹⁵-7)/9 =: 6(7)₁₁₅_<116>; = definitely prime number

(61·10¹¹⁶-7)/9 =: 6(7)₁₁₆_<117>; = 266009 · 2680198089073_<13> · 1166965600821996643_<19> · 814640594069511697465161218362296798452471967919738663234953303604499181114298627_<81>

(61·10¹¹⁷-7)/9 =: 6(7)₁₁₇_<118>; = 3 · 97 · 9697 · 850009 · 8937109 · 38278309031154977_<17> · 1378762276038326493023_<22> · 4120255529134254033739499107_<28> · 1454018976889136126007440583442643_<34>

(61·10¹¹⁸-7)/9 =: 6(7)₁₁₈_<119>; = 23 · 83 · 331 · 7333 · 2414557 · 1036939928000559730815229_<25> · 1139747283622917432815770126117907_<34> · 5125923174576007002352973000061590095416402641_<46>

(61·10¹¹⁹-7)/9 =: 6(7)₁₁₉_<120>; = 1117 · 2963 · 2482867040228760874738763473913341739_<37> · 82480073191204085479276961599941715332454202055744480615029787929386302794933_<77> (Tetsuya Kobayashi / GMP-ECM B1=1e6)

(61·10¹²⁰-7)/9 =: 6(7)₁₂₀_<121>; = 3² · 17 · 313 · 1502987851_<10> · 769095172291155299809287732928578049718910690979_<48> · 122437936566411560805221573149092548059705384693679579533217_<60> (Sander Hoogendoorn)

(61·10¹²¹-7)/9 =: 6(7)₁₂₁_<122>; = 223 · 315354798404287_<15> · 18423527972719656968229812631186321366924817348451_<50> · 52313071622735468570280541636546647612790890086478437627_<56> (Makoto Kamada / GGNFS-0.61.4 / 4.62 hours)

(61·10¹²²-7)/9 =: 6(7)₁₂₂_<123>; = 19 · 35572227804085351_<17> · 39835774009639669646989_<23> · 592904968655361079206459109_<27> · 42458467044665662862456067106908165716796631113829775933_<56>

(61·10¹²³-7)/9 =: 6(7)₁₂₃_<124>; = 3 · 6365778343_<10> · 3771168843102097_<16> · 94110608474131454222270196255400026918054194789890858269361112254549443177157560623948576342218429_<98>

(61·10¹²⁴-7)/9 =: 6(7)₁₂₄_<125>; = 15227 · 111781 · 101151313 · 124673551624588433_<18> · 95487705047218658287728754303319_<32> · 33068285276795186583709312118814124498598177207244524529521_<59> (Naoki Yamamoto)

(61·10¹²⁵-7)/9 =: 6(7)₁₂₅_<126>; = 2972661820346773_<16> · 228003660940722905460662347956710229954709581194706255613746842350143933969418463941990087786447921299641098349_<111>

(61·10¹²⁶-7)/9 =: 6(7)₁₂₆_<127>; = 3 · 89 · 15383 · 7389932875830955206917_<22> · 223302986025672401944071091000036309790405060959690450911855643453541878765717642584445297469109121_<99>

(61·10¹²⁷-7)/9 =: 6(7)₁₂₇_<128>; = 46893111495832394953_<20> · 1445367466899727874265683758466187999243074153061352002582970398208404708772688820187958755531792557121314409_<109>

(61·10¹²⁸-7)/9 =: 6(7)₁₂₈_<129>; = 1699 · 299179457277806411535149639026739530226142089621_<48> · 1333405298970436966592817949486129780817428261709500221189749560996988882681263_<79> (Greg Childers / GGNFS / May 9, 2005)

(61·10¹²⁹-7)/9 =: 6(7)₁₂₉_<130>; = 3² · 159503 · 1686796403_<10> · 1845746771074187_<16> · 15011723137161761012900283660230077453_<38> · 101020759799138908138104413379091516200230288773064326782116947_<63> (Tyler Cadigan / msieve / 48 hours)

(61·10¹³⁰-7)/9 =: 6(7)₁₃₀_<131>; = 181 · 191 · 283 · 1093454963_<10> · 7882116352285529_<16> · 107792240109824610588979629210593_<33> · 7456889524563093196167568061400959285591943144957983615332638656299_<67>

(61·10¹³¹-7)/9 =: 6(7)₁₃₁_<132>; = 148139963 · 2510854208986460567_<19> · 2360152361100935006232336029_<28> · 772064452852880098093229417755834744261544680912462019555905143605605300770553_<78>

(61·10¹³²-7)/9 =: 6(7)₁₃₂_<133>; = 3 · 7351847 · 307304988700017731497847991023107425829082033298470338033321321738504522640264311710956343250785722181005570336169844021408397_<126>

(61·10¹³³-7)/9 =: 6(7)₁₃₃_<134>; = 29 · 67 · 617 · 21061 · 6183340553224673677_<19> · 169996189666691841085123740618869_<33> · 2553806684404383920744365758186857811999030277231264378877580416414570819_<73> (Tetsuya Kobayashi / GMP-ECM B1=1e6)

(61·10¹³⁴-7)/9 =: 6(7)₁₃₄_<135>; = 5214959 · 232578349 · 837296325347_<12> · 16823277183857_<14> · 39671384585728407766355746907372059252739807394018219978288179198545361168807660831487394051993_<95>

(61·10¹³⁵-7)/9 =: 6(7)₁₃₅_<136>; = 3 · 43 · 59 · 1733 · 5680019 · 927242136241245480295997360546143833229_<39> · 97567256590986466635655125222676116463836822566445292809032469710621547360445738129_<83> (Greg Childers / GGNFS / May 9, 2005)

(61·10¹³⁶-7)/9 =: 6(7)₁₃₆_<137>; = 17 · 769 · 1545084641_<10> · 7518626723_<10> · 90058851523_<11> · 11491833500745942203_<20> · 29171054740528804989085093_<26> · 14782687744420750924589043326825293535999811552732344307679_<59>

(61·10¹³⁷-7)/9 =: 6(7)₁₃₇_<138>; = 389 · 631 · 480167 · 83278259 · 318706812443_<12> · 782549473481_<12> · 5186584541590777505486161061_<28> · 25192563188309963512192683149_<29> · 2118982890903677493346019815216660853173_<40> (Naoki Yamamoto)

(61·10¹³⁸-7)/9 =: 6(7)₁₃₈_<139>; = 3³ · 71 · 795079 · 8551759 · 5084752459311676352135827_<25> · 102265621363057491894694327743971532584815332541707276439494002769901939498612803134925430569898223_<99>

(61·10¹³⁹-7)/9 =: 6(7)₁₃₉_<140>; = 151 · 2153 · 597554609233_<12> · 1460834794500463175257_<22> · 238829320678020357440309863425165632543090639378515520853053941939290857850807932075647254366163733639_<102>

(61·10¹⁴⁰-7)/9 =: 6(7)₁₄₀_<141>; = 19 · 23 · 1759 · 1861 · 33533972233123_<14> · 5574025904316026534189_<22> · 2534776621491949052061390057594272412942232981296670479798061092336233232122855622385961944479857_<97>

(61·10¹⁴¹-7)/9 =: 6(7)₁₄₁_<142>; = 3 · 8039 · 98005469 · 35284402142806969715498174687344814027742337_<44> · 81270132481699799349979447997812805006797467924789973909568486678150176330511109827377_<86> (Greg Childers / GGNFS / May 9, 2005)

(61·10¹⁴²-7)/9 =: 6(7)₁₄₂_<143>; = 195479 · 176622889 · 10172565710484169_<17> · 192978856573056954842041500014065159358580986049653543319631444305361487716198539146720653273799393176848257703143_<114>

(61·10¹⁴³-7)/9 =: 6(7)₁₄₃_<144>; = 51431 · 10622701 · 496487647973_<12> · 56238928049817934793_<20> · 4680975399001077044491138897340829801609143_<43> · 9491733990131346309861366171831433389834016080784918094921_<58> (Anton Korobeynikov / GGNFS-0.73.3 gnfs / 19.12 hours for P43 x P58 / Mar 17, 2005)

(61·10¹⁴⁴-7)/9 =: 6(7)₁₄₄_<145>; = 3 · 26701 · 209581 · 18248307261571_<14> · 10974689155546186175618317723_<29> · 469186194512159628589287694073018761362341_<42> · 4296616559387993849962861028224532418481985117419063_<52> (Tetsuya Kobayashi / GMP-ECM B1=1e6) (Naoki Yamamoto)

(61·10¹⁴⁵-7)/9 =: 6(7)₁₄₅_<146>; = 1684481 · 1432728179_<10> · 28083899234921357604064273646457941855439711338137356197363154203789318206746358319687506136005808295809704650990513920211782544523_<131>

(61·10¹⁴⁶-7)/9 =: 6(7)₁₄₆_<147>; = 839 · 14533 · 1254801168839263_<16> · 97231305727999673497358739964456644950754724349302399_<53> · 455605605406378802832016232428400788106276936808026383368031541901007483_<72> (Greg Childers / GGNFS / May 9, 2005)

(61·10¹⁴⁷-7)/9 =: 6(7)₁₄₇_<148>; = 3² · 243314281288135257360490531778906342516402685687071620697654477513996051_<72> · 3095118033212665345739651874326610276263365883329349811954353524289238251603_<76> (Greg Childers / GGNFS / May 9, 2005)

(61·10¹⁴⁸-7)/9 =: 6(7)₁₄₈_<149>; = 1997 · 16453 · 3314036973893_<13> · 39556766964933754250647549669289784721840357249424572103_<56> · 15735698461845030510207337801475420150967876650498795094830007914984412443_<74> (Greg Childers / GGNFS-0.76.8-k1 / May 12, 2005)

(61·10¹⁴⁹-7)/9 =: 6(7)₁₄₉_<150>; = 197 · 126241 · 27253398926635159146200693234432625092106994360105674026750855185968638495203488910433370905941358468365771333984135564160749250085869428527901_<143>

(61·10¹⁵⁰-7)/9 =: 6(7)₁₅₀_<151>; = 3 · 997 · 63977 · 3184380146921_<13> · 52705315333721859997910195565558335105305316472767799040037089_<62> · 211041428323402327456372224332812226010199161841267519831372350387919_<69> (Greg Childers / GGNFS-0.76.8-k1 / May 12, 2005)

(61·10¹⁵¹-7)/9 =: 6(7)₁₅₁_<152>; = 199 · 1511 · 14767 · 319477 · 75053124340927_<14> · 55869744694317524116035403_<26> · 11394425930557219224957755773111380073582935857246182465527444880859525381657308765634395960252967_<98>

(61·10¹⁵²-7)/9 =: 6(7)₁₅₂_<153>; = 17 · 6644741020324683338660889762398797_<34> · 653568484235930545992755143567549450586834986633949_<51> · 9180561481379755130002771608227144700517890465258033493396385684777_<67> (Anton Korobeynikov / GGNFS-0.77.1 / 136.49 hours / May 26, 2005)

(61·10¹⁵³-7)/9 =: 6(7)₁₅₃_<154>; = 3 · 251 · 67901 · 16902449019944461_<17> · 104893886986106263_<18> · 517325769482943481148002669266260899_<36> · 144528086508799010588986000906479628320347052391513546996479503285853448618037_<78> (Sinkiti Sibata / GGNFS-0.77.1 gnfs / 61.92 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Feb 17, 2006)

(61·10¹⁵⁴-7)/9 =: 6(7)₁₅₄_<155>; = 47 · 1901127231469_<13> · 15449228959889505678903871315182748873746361954118799891643517789_<65> · 49098867557942295120670149975881643072020141070454812365305226919065044586551_<77> (Tyler Cadigan / GGNFS-0.77.1-20060722-pentium4 / 86.37 hours on Pentium 4 3.20 GHz, 1 gig RAM, Windows XP and Cygwin / Mar 25, 2007)

(61·10¹⁵⁵-7)/9 =: 6(7)₁₅₅_<156>; = 103651 · 971857 · 19870534292309_<14> · 9817212608718080906317171875037375502190241_<43> · 34491630159507572267087764175508621104295293798871859880831023317096973793390053303999519_<89> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 25.00 hours on Cygwin on AMD 64 3400+ / Apr 20, 2007)

(61·10¹⁵⁶-7)/9 =: 6(7)₁₅₆_<157>; = 3² · 43 · 593 · 42101 · 119889299022169_<15> · 5851252433462551954067612112651527728740942950517349829265273392055848893875847365146170209511545891854526608014050805275104807408663_<133>

(61·10¹⁵⁷-7)/9 =: 6(7)₁₅₇_<158>; = 547 · 1471 · 84233981009794202575543726895205885110649619365972205824213624004088524114324568442388030599857796469436252344570008311546421277890250855699871840069221_<152>

(61·10¹⁵⁸-7)/9 =: 6(7)₁₅₈_<159>; = 19 · 8849 · 703919617 · 5726858611866738704729024029571625728147254506791279002407594488866453567482882799984823780853626790730155064644137927883472457490593392804337851_<145>

(61·10¹⁵⁹-7)/9 =: 6(7)₁₅₉_<160>; = 3 · 83 · 163145798897_<12> · 14892937766618321_<17> · 663591791263033860467_<21> · 429706828190475769330186160509_<30> · 39287866818500422501117149315362999958470759043260102926022320322953846895310943_<80> (Tyler Cadigan / GGNFS-0.77.1-20050930-pentium4 gnfs / 49.57 hours on P4, 3.2 gig, windows XP, 1024 Mb RAM for P30 x P80 / Oct 26, 2005)

(61·10¹⁶⁰-7)/9 =: 6(7)₁₆₀_<161>; = 397 · 1195277 · 1097213317_<10> · 130177877436352948578991142300423984817977979716057108004757483554310651961661837167683615792565754321333672110145204852957108998865432118068149_<144>

(61·10¹⁶¹-7)/9 =: 6(7)₁₆₁_<162>; = 29 · 4273 · 371291 · 4145257 · 3553780101699899690327380868299837698236545532515684243999090601521441092998622364130741776158792590408369751161019530918511475544176468143047063_<145>

(61·10¹⁶²-7)/9 =: 6(7)₁₆₂_<163>; = 3 · 23 · 5237 · 65192421403_<11> · 21680786705019348985131951673_<29> · 13270384669584985584023671232725137230973166358730072268243463336543657448938071092705867943321814581286191610681098211_<119>

(61·10¹⁶³-7)/9 =: 6(7)₁₆₃_<164>; = 9266672567_<10> · 5673581071735727_<16> · 13053999710108279553984814365912541_<35> · 22402313059656738339109313460161689_<35> · 4408286195992575892384026018410003380146235251197963945518892063985397_<70> (Wataru Sakai / GMP-ECM 6.0.1 B1=11000000, sigma=1591362247 for P35(2240...), B1=11000000, sigma=639833510 for P35(1305...) / Jun 2, 2006)

(61·10¹⁶⁴-7)/9 =: 6(7)₁₆₄_<165>; = 317 · 3495769463_<10> · 4497534330479_<13> · 110614628030592113_<18> · 5132819123667913656014282950111020599968382579_<46> · 239520267690880254444053983762177434375240421775507117542386875504206305181039_<78> (suberi / GGNFS-0.77.1-20060722-k8 snfs / 148.21 hours on Turion64 X2 1.8GHz, Gentoo Linux / Apr 10, 2008)

(61·10¹⁶⁵-7)/9 =: 6(7)₁₆₅_<166>; = 3³ · 599 · 47355213769_<11> · 95509673093_<11> · 3660739191797_<13> · 1848300430789471_<16> · 136434416710060091880493_<24> · 15320458039908490006162459206857_<32> · 6551557202304789918206043184030769036600571342140717726831_<58> (Makoto Kamada / msieve 0.87 / 1.7 hours)

(61·10¹⁶⁶-7)/9 =: 6(7)₁₆₆_<167>; = 67 · 367 · 18457172593_<11> · 59403451729_<11> · 571362150201701442101639602427041315624408776223453_<51> · 4400055322869183148068430795279616992237472574915031133555720308758263448099841707032943673_<91> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs, Msieve 1.36 / 95.20 hours on Cygwin on AMD 64 3200+ / Jul 11, 2008)

(61·10¹⁶⁷-7)/9 =: 6(7)₁₆₇_<168>; = 114611656331_<12> · 93444174992472819257688502885450481471938296013132895952362893249876854697_<74> · 63285804116327054211214121309466806760944769236184213402549280405475070400939982011_<83> (Wataru Sakai / GGNFS-0.77.1-20060722-nocona snfs / 150.31 hours / Jun 1, 2008)

(61·10¹⁶⁸-7)/9 =: 6(7)₁₆₈_<169>; = 3 · 17 · 3923 · 4663305983361059_<16> · 851208407080708387389823_<24> · 8534321991429089842525651415846671390262876846362278010390391716471120968637961607901455508953711778821749806294548043252157_<124>

(61·10¹⁶⁹-7)/9 =: 6(7)₁₆₉_<170>; = 679517 · 2099650316119_<13> · 462133680259364512974037301324911_<33> · 56540095809527061398275309610361450221_<38> · 1818092044741429958746153841013907596909769895723120119363711217697392274661650529_<82> (Wataru Sakai / GMP-ECM 6.0.1 B1=11000000, sigma=2928137939 for P33 / Jun 2, 2006) (Bryan Koen / GGNFS-0.77.1-20060513-pentium4 gnfs for P38 x P82 / 57.70 hours on Centrino Duo T7300 2GB RAM Windows XP / Oct 6, 2007)

(61·10¹⁷⁰-7)/9 =: 6(7)₁₇₀_<171>; = 89 · 59149 · 73106034559740600637_<20> · 455443373077175325700179430733987_<33> · 259634246889555898861112235610888816344185272851756101_<54> · 14893621763832231129772178482053300115800386287663092493903_<59> (Wataru Sakai / GMP-ECM 6.0.1 B1=11000000, sigma=1585921871 for P33 / Jun 2, 2006) (JMB / GGNFS-0.77.1-20050930-prescott gnfs for P54 x P59 / 38.99 hours on Pentium 4, 3.4ghz, 4gb RAM, dual SATA RAID, WinXP Pro / Aug 4, 2006)

(61·10¹⁷¹-7)/9 =: 6(7)₁₇₁_<172>; = 3 · 2803 · 3690984696370158400897064979949717_<34> · [218373899103757824771934513730446408208901986048652105451130131357315856486078756863651890930918440628821417715447161662433665809123509_<135>] (Makoto Kamada / GMP-ECM 5.0.3 P-1 B1=50000000, B2=7260750615 for P34) SUBMIT/RESERVE

(61·10¹⁷²-7)/9 =: 6(7)₁₇₂_<173>; = 1155709 · 4691776423_<10> · 609460208105001402610217070871_<30> · 463915191687646936303192442868799163452747_<42> · 44209700384489934180137596183593901714505219083957722275135118923645544441308317835503_<86> (Wataru Sakai / GMP-ECM 6.0.1 B1=11000000, sigma=101153769 for P30, B1=11000000, sigma=684063392 for P42 / Jun 2, 2006)

(61·10¹⁷³-7)/9 =: 6(7)₁₇₃_<174>; = 71 · 233 · 24742957991_<11> · 31809119701353051742109_<23> · 39660267116313906346259099_<26> · 3760357206641161646188454939_<28> · 17434053596101093960844893121_<29> · 20021041886655596186926329100373757874861254953098046101_<56> (Sinkiti Sibata / GGNFS-0.77.1 gnfs for P28 x P29 x P56 / 43.90 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Apr 6, 2006)

(61·10¹⁷⁴-7)/9 =: 6(7)₁₇₄_<175>; = 3² · 109 · 7964413 · 278325963904102603_<18> · 3116813554085572664011752617600722125973254274916240788558731997202709470368494019035336347636198232665089836127798717408026860359405648491634798003_<148>

(61·10¹⁷⁵-7)/9 =: 6(7)₁₇₅_<176>; = 14563 · 4654108204200904880709865946424347852624993324025116924931523571913601440484637628083346685283099483470286189506130452364058077166639962767134366392760954321072428605217179_<172>

(61·10¹⁷⁶-7)/9 =: 6(7)₁₇₆_<177>; = 19 · 1596121 · [22349505219142559327063872112379350272111271401029772138623897950019479059339808585867262529390011546670359537699531940174360800761668206785726731038884031901742371457123_<170>] SUBMIT/RESERVE

(61·10¹⁷⁷-7)/9 =: 6(7)₁₇₇_<178>; = 3 · 43 · 3209 · 1111673 · 3136084543909_<13> · 59806604524897_<14> · 78526082502452468751710156029750925579436982921588362827030339532811601699727620364591225532003467758723679074863649721869472659663311615933_<140>

(61·10¹⁷⁸-7)/9 =: 6(7)₁₇₈_<179>; = 61754210443_<11> · 15334686750801126181407889841_<29> · 416368707563384961553638170251815219317_<39> · 4941723279443496262590899537580262103323_<40> · 34784786187971092404010664188709643009421322440491551158637269_<62> (Makoto Kamada / GMP-ECM 5.0.3 B1=4000000, sigma=3475616545 for P39) (Makoto Kamada / GMP-ECM 6.0.1 B1=11000000, sigma=3537496428 for P29 / Apr 30, 2005) (Kenichiro Yamaguchi / msieve 0.88 for P40 x P62 / 44:52:51 on Pentium M 1.3GHz / May 18, 2005)

(61·10¹⁷⁹-7)/9 =: 6(7)₁₇₉_<180>; = definitely prime number

(61·10¹⁸⁰-7)/9 =: 6(7)₁₈₀_<181>; = 3 · 149 · 62683 · 203885587 · 36092687945528449_<17> · 32871859826892214328066579978852410145920229852035224133894504312479741017585865217871451195602505226256140210257212169638279203635749830080854222479_<149>

(61·10¹⁸¹-7)/9 =: 6(7)₁₈₁_<182>; = definitely prime number

(61·10¹⁸²-7)/9 =: 6(7)₁₈₂_<183>; = 163560246919_<12> · 4143902877044651997978424363800515361447329692862419576192213523921537445559264231656963568549708945048879770441634507824814992554931713784506858774325728051133120078496583_<172>

(61·10¹⁸³-7)/9 =: 6(7)₁₈₃_<184>; = 3² · 1559 · 102859 · 166723 · [28168316174742855054663226579781285847082898929774005502535488708221811958910806595834219516961720057838844054957569228349098510573122999277564240593738851809053920792031_<170>] SUBMIT/RESERVE

(61·10¹⁸⁴-7)/9 =: 6(7)₁₈₄_<185>; = 17 · 23 · 281737 · 2544251551_<10> · 50250974663_<11> · [4812404726950066992286805460162452390854465845667642656075714226778940750000694845913484935036853828555825519776076170251025296491871064443711920741148309287_<157>] SUBMIT/RESERVE

(61·10¹⁸⁵-7)/9 =: 6(7)₁₈₅_<186>; = 157 · 1753 · 3029554211_<10> · 5613473287146550878743_<22> · [144808938016560333161052966541573385165652806900345314730858775691965262765650053955767629849565642240324416936509698065168954236714673059723672496169_<150>] SUBMIT/RESERVE

(61·10¹⁸⁶-7)/9 =: 6(7)₁₈₆_<187>; = 3 · 2237 · 2399 · 2801 · 150299221109643135883580186738938137021100635437951724591318057336266817540795602231138234721773379438756656396617181782185537977872836466173896700315687752973138651935799419993_<177>

(61·10¹⁸⁷-7)/9 =: 6(7)₁₈₇_<188>; = 22307 · 566707 · 22061749 · 38421402499_<11> · 396009590771_<12> · 15972346533887411892064554232619642060133414848848339125895701124878337765414931411392876518024876663198156029953446387431516199804647816917817535613_<149>

(61·10¹⁸⁸-7)/9 =: 6(7)₁₈₈_<189>; = 761 · 14923 · 34667944967_<11> · 9342443007080306141_<19> · 8519617172494291276031_<22> · 824978914747918693560935356005485199233_<39> · 240133410788291625341200280280267296905327_<42> · 109179840536766784953562310705149908464858846735857_<51> (Robert Backstrom / GMP-ECM 6.0 B1=1220000, sigma=2600096731 for P42, Msieve v. 1.33 for P39 x P51 / Feb 5, 2008)

(61·10¹⁸⁹-7)/9 =: 6(7)₁₈₉_<190>; = 3 · 29 · 439 · 4987 · 991455383 · 27779355774277_<14> · 1195239288393453903241_<22> · [1080970841416331022050629666743342381657171149624820421588104192678298084558048543931093654591914055726425199962955528776347811700650873337_<139>] SUBMIT/RESERVE

(61·10¹⁹⁰-7)/9 =: 6(7)₁₉₀_<191>; = 113² · 2917 · 46379659 · [39234349662209658791480376778732854742005143556242548574854184085364695615460049980440362131507169768084663056542208916055640984224960218782975301012422338283325189637342769111_<176>] SUBMIT/RESERVE

(61·10¹⁹¹-7)/9 =: 6(7)₁₉₁_<192>; = 3789883 · 7046491 · 1203921533_<10> · [21080962661089071721799236120426280660778375078008651329899495640836545016220682788057248704976233484011701131163200745710667905883124394678757881951645342990847428612973_<170>] SUBMIT/RESERVE

(61·10¹⁹²-7)/9 =: 6(7)₁₉₂_<193>; = 3⁴ · 64532861 · 3398237413_<10> · 381564243603474096727014711403929350997746415965309792403439703064209871709994369336544762666960104586757425709755907414204726011498465347961511660996537053102516270166335569_<174>

(61·10¹⁹³-7)/9 =: 6(7)₁₉₃_<194>; = 59 · 3853 · 163127799506136496038335489929_<30> · 1827714372782507311292761526282412035783631956330528107609297122108841522030987601896279600559024296237981269384421792628912505034582472939235971142099110239319_<160> (Wataru Sakai / GMP-ECM 6.0.1 B1=11000000, sigma=2555201907 for P30 / Jun 2, 2006)

(61·10¹⁹⁴-7)/9 =: 6(7)₁₉₄_<195>; = 19² · 131 · 1223 · [11718779184382843279250456586210081820573898701262838890356329787248042141160275981245703806699605695931449460429656513149449051106147382048648045077002628370403261077281204883840799985189_<188>] SUBMIT/RESERVE

(61·10¹⁹⁵-7)/9 =: 6(7)₁₉₅_<196>; = 3 · 2333 · 16451 · 3238120739761971830840219_<25> · 18178832641300921553011129121103931121842678786997888747270424614653771251925925181874721931064255453182923247009473213660917482023310422956080488408533737643423367_<164>

(61·10¹⁹⁶-7)/9 =: 6(7)₁₉₆_<197>; = 4159 · 4464781 · 226180181 · 15615154400366770009282227004370183921_<38> · [1033468904117966617164744053188712951295398238274545348816534213750285722018672609129914860028868584067980435445547786740892587358674249064463_<142>] (Wataru Sakai / GMP-ECM 6.0.1 B1=11000000, sigma=2192449690 for P38 / Jun 2, 2006) SUBMIT/RESERVE

(61·10¹⁹⁷-7)/9 =: 6(7)₁₉₇_<198>; = 6075568401945011419_<19> · 56887194154127880313_<20> · [1961037494001804061075908508487402289361014397398079137497875459471024203369117313009124325115020704327292833658171081393883777965584393370966476089653794423291_<160>] SUBMIT/RESERVE

(61·10¹⁹⁸-7)/9 =: 6(7)₁₉₈_<199>; = 3 · 43 · 4902446366466967261_<19> · 10717284612313627921958789504749027905059360008442541856403809233632352378545833218781236945381187125979134676731324706580533332326796266252806219827483016051710059354755715063333_<179>

(61·10¹⁹⁹-7)/9 =: 6(7)₁₉₉_<200>; = 67 · 605308283558156762793357649_<27> · 2686555097433200453529295711_<28> · 181507461190783917343467817300507_<33> · 3427249105123054795888760122109345886233343024535902715535737986060352180735446845218692299323082077938308290447_<112> (Wataru Sakai / GMP-ECM 6.0.1 B1=11000000, sigma=3606743784 for P27, B1=11000000, sigma=2179392236 for P33 / Jun 2, 2006)

(61·10²⁰⁰-7)/9 =: 6(7)₂₀₀_<201>; = 17 · 47 · 83 · 409 · 2437 · 9511 · 38861 · 427993 · [64819667212596907365694380999723181265232482025174143286126839310026736688556405585542838891158857377028952381621641027849223277150527230022778780318412622698771102252188408819_<176>] SUBMIT/RESERVE

Factorizations

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