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Factorizations of 788...887

About 788...887
- First ten terms
- General term
Prime numbers of the form 788...887
Factorizations of 788...887
References

1. About 788...887

First ten terms

77, 787, 7887, 78887, 788887, 7888887, 78888887, 788888887, 7888888887, 78888888887

General term

(71·10ⁿ-17)/9

2. Prime numbers of the form 788...887

Last update

Jan 18, 2009

Searched up to

n≤50000

Difficulty of search

9.77%

Results

(71·10²-17)/9 = 787 is prime. (Jean Claude Rosa / Oct 14, 2002)
(71·10⁴-17)/9 = 78887 is prime. (Jean Claude Rosa / Oct 14, 2002)
(71·10⁸⁶-17)/9 = 7(8)₈₅7_<87> is prime. (Jean Claude Rosa / Oct 14, 2002)
(71·10¹¹²-17)/9 = 7(8)₁₁₁7_<113> is prime. (Jean Claude Rosa / Oct 14, 2002)
(71·10¹⁷⁰-17)/9 = 7(8)₁₆₉7_<171> is prime. (Jean Claude Rosa / Oct 14, 2002)
(71·10⁵⁶⁶-17)/9 = 7(8)₅₆₅7_<567> is prime. (Patrick De Geest / Dec 2, 2002)
(71·10¹⁶⁸⁸-17)/9 = 7(8)₁₆₈₇7_<1689> is prime. (Patrick De Geest / Jul 7, 2003)
(71·10⁸⁹⁰²-17)/9 = 7(8)₈₉₀₁7_<8903> is PRP. (Patrick De Geest / Jan 3, 2003)

3. Factorizations of 788...887

Last update

Dec 7, 2008

Completed up to

n≤150 / Nov 23, 2004

Range

n≤200

Terms which have not been factored yet

n=173, 179, 180, 181, 185, 186, 189, 191, 193, 194, 195, 196, 198 (13/200)

Results

(71·10¹-17)/9 =: 77; = 7 · 11

(71·10²-17)/9 =: 787; = definitely prime number

(71·10³-17)/9 =: 7887; = 3 · 11 · 239

(71·10⁴-17)/9 =: 78887; = definitely prime number

(71·10⁵-17)/9 =: 788887; = 11 · 29 · 2473

(71·10⁶-17)/9 =: 7888887; = 3³ · 292181

(71·10⁷-17)/9 =: 78888887; = 7 · 11 · 547 · 1873

(71·10⁸-17)/9 =: 788888887; = 67 · 367 · 32083

(71·10⁹-17)/9 =: 7888888887_<10>; = 3 · 11 · 23 · 79 · 149 · 883

(71·10¹⁰-17)/9 =: 78888888887_<11>; = 239 · 330079033

(71·10¹¹-17)/9 =: 788888888887_<12>; = 11 · 857 · 83683981

(71·10¹²-17)/9 =: 7888888888887_<13>; = 3 · 107 · 24575977847_<11>

(71·10¹³-17)/9 =: 78888888888887_<14>; = 7⁵ · 11 · 426710131

(71·10¹⁴-17)/9 =: 788888888888887_<15>; = 229 · 241 · 2789 · 5125247

(71·10¹⁵-17)/9 =: 7888888888888887_<16>; = 3² · 11 · 19 · 592061 · 7083707

(71·10¹⁶-17)/9 =: 78888888888888887_<17>; = 2719 · 191563 · 151458971

(71·10¹⁷-17)/9 =: 788888888888888887_<18>; = 11² · 239 · 2011 · 13565021843_<11>

(71·10¹⁸-17)/9 =: 7888888888888888887_<19>; = 3 · 2629629629629629629_<19>

(71·10¹⁹-17)/9 =: 78888888888888888887_<20>; = 7 · 11 · 65053 · 15749174127727_<14>

(71·10²⁰-17)/9 =: 788888888888888888887_<21>; = 1777 · 26592109 · 16694585059_<11>

(71·10²¹-17)/9 =: 7888888888888888888887_<22>; = 3 · 11 · 227377 · 24864001 · 42284807

(71·10²²-17)/9 =: 78888888888888888888887_<23>; = 79 · 3882421 · 257208976110293_<15>

(71·10²³-17)/9 =: 788888888888888888888887_<24>; = 11 · 182339 · 382003 · 1029619625101_<13>

(71·10²⁴-17)/9 =: 7888888888888888888888887_<25>; = 3² · 113 · 239 · 385069 · 84286579214821_<14>

(71·10²⁵-17)/9 =: 78888888888888888888888887_<26>; = 7 · 11 · 103 · 9946903150786645932277_<22>

(71·10²⁶-17)/9 =: 788888888888888888888888887_<27>; = 47 · 88339 · 1780770403_<10> · 106698318113_<12>

(71·10²⁷-17)/9 =: 7888888888888888888888888887_<28>; = 3 · 11 · 1103 · 283487 · 14951759 · 51132961961_<11>

(71·10²⁸-17)/9 =: 78888888888888888888888888887_<29>; = 89 · 1049 · 844987616765982464721767_<24>

(71·10²⁹-17)/9 =: 788888888888888888888888888887_<30>; = 11 · 8101 · 989060971 · 8950791840441827_<16>

(71·10³⁰-17)/9 =: 7888888888888888888888888888887_<31>; = 3 · 541 · 24638431 · 514620229 · 383351721331_<12>

(71·10³¹-17)/9 =: 78888888888888888888888888888887_<32>; = 7 · 11 · 23 · 239 · 126241 · 11240778299_<11> · 131341680497_<12>

(71·10³²-17)/9 =: 788888888888888888888888888888887_<33>; = 157 · 2027 · 30631 · 32039089981_<11> · 2525928719003_<13>

(71·10³³-17)/9 =: 7888888888888888888888888888888887_<34>; = 3³ · 11 · 19 · 29 · 2099 · 8219 · 9739 · 100315577 · 2860181747_<10>

(71·10³⁴-17)/9 =: 78888888888888888888888888888888887_<35>; = 569 · 719 · 192830036075512242127170594017_<30>

(71·10³⁵-17)/9 =: 788888888888888888888888888888888887_<36>; = 11 · 79 · 4931119 · 27774832003_<11> · 6628253942423639_<16>

(71·10³⁶-17)/9 =: 7888888888888888888888888888888888887_<37>; = 3 · 2629629629629629629629629629629629629_<37>

(71·10³⁷-17)/9 =: 78888888888888888888888888888888888887_<38>; = 7 · 11 · 93287429 · 10982519676161560107145101239_<29>

(71·10³⁸-17)/9 =: 788888888888888888888888888888888888887_<39>; = 239 · 27539 · 17709299 · 243048955619_<12> · 27846758119387_<14>

(71·10³⁹-17)/9 =: 7888888888888888888888888888888888888887_<40>; = 3 · 11³ · 752303 · 2626175439457339467229758598753_<31>

(71·10⁴⁰-17)/9 =: 78888888888888888888888888888888888888887_<41>; = 1171383743_<10> · 67346750678687615087457201366409_<32>

(71·10⁴¹-17)/9 =: 788888888888888888888888888888888888888887_<42>; = 11 · 67 · 1664720969_<10> · 642993971933015469811012323679_<30>

(71·10⁴²-17)/9 =: 7888888888888888888888888888888888888888887_<43>; = 3² · 401654132023_<12> · 7051494346621_<13> · 309485230887930221_<18>

(71·10⁴³-17)/9 =: 78888888888888888888888888888888888888888887_<44>; = 7 · 11 · 1024531024531024531024531024531024531024531_<43>

(71·10⁴⁴-17)/9 =: 788888888888888888888888888888888888888888887_<45>; = 131 · 241 · 1051 · 741880991 · 825615438619_<12> · 38816174907055243_<17>

(71·10⁴⁵-17)/9 =: 7888888888888888888888888888888888888888888887_<46>; = 3 · 11 · 239 · 1000239493963343335728272966766690616063001_<43>

(71·10⁴⁶-17)/9 =: 78888888888888888888888888888888888888888888887_<47>; = 85943951 · 917910893913742560996397394959057547737_<39>

(71·10⁴⁷-17)/9 =: 788888888888888888888888888888888888888888888887_<48>; = 11 · 35972094619010351911_<20> · 1993689065836910882277192947_<28>

(71·10⁴⁸-17)/9 =: 7888888888888888888888888888888888888888888888887_<49>; = 3 · 59 · 61 · 79 · 9248805503742705004658922941427575274529949_<43>

(71·10⁴⁹-17)/9 =: 78888888888888888888888888888888888888888888888887_<50>; = 7 · 11 · 1024531024531024531024531024531024531024531024531_<49>

(71·10⁵⁰-17)/9 =: 788888888888888888888888888888888888888888888888887_<51>; = 2663 · 302411 · 39183437611042078943_<20> · 25000261653334214456813_<23>

(71·10⁵¹-17)/9 =: 7888888888888888888888888888888888888888888888888887_<52>; = 3² · 11 · 19 · 535547 · 1558624583363_<13> · 5024443084597226347965563846207_<31>

(71·10⁵²-17)/9 =: 78888888888888888888888888888888888888888888888888887_<53>; = 239 · 330079033007903300790330079033007903300790330079033_<51>

(71·10⁵³-17)/9 =: 788888888888888888888888888888888888888888888888888887_<54>; = 11 · 23 · 37695472224144154930039193_<26> · 82719162720805819176236603_<26>

(71·10⁵⁴-17)/9 =: 7888888888888888888888888888888888888888888888888888887_<55>; = 3 · 127037 · 442207 · 1881071 · 4547657 · 175619887 · 31158185570807005481479_<23>

(71·10⁵⁵-17)/9 =: 78888888888888888888888888888888888888888888888888888887_<56>; = 7² · 11 · 22441 · 6522061179671293811865596927377978642564508995213_<49>

(71·10⁵⁶-17)/9 =: 788888888888888888888888888888888888888888888888888888887_<57>; = 197 · 2029 · 50207 · 16408907863_<11> · 2395651373543593461808675342202846239_<37>

(71·10⁵⁷-17)/9 =: 7888888888888888888888888888888888888888888888888888888887_<58>; = 3 · 11 · 739 · 887 · 7749839 · 22424243635759896529_<20> · 2098569504354368644382933_<25>

(71·10⁵⁸-17)/9 =: 78888888888888888888888888888888888888888888888888888888887_<59>; = 146021 · 3715818229678953488357_<22> · 145393857769578349777425830137871_<33>

(71·10⁵⁹-17)/9 =: 788888888888888888888888888888888888888888888888888888888887_<60>; = 11 · 103 · 239 · 24473 · 1833918061979_<13> · 2994416724760273_<16> · 21677472834486535000111_<23>

(71·10⁶⁰-17)/9 =: 7888888888888888888888888888888888888888888888888888888888887_<61>; = 3⁴ · 2377 · 7221873163_<10> · 5673509442262592479963993524899576155795280077_<46>

(71·10⁶¹-17)/9 =: 78888888888888888888888888888888888888888888888888888888888887_<62>; = 7 · 11² · 29 · 79² · 3469 · 546677 · 7913502323348616833_<19> · 34290704831265761749795741_<26>

(71·10⁶²-17)/9 =: 788888888888888888888888888888888888888888888888888888888888887_<63>; = 7589 · 59107 · 935221303 · 42544854408526237_<17> · 44200882117795047537537237179_<29>

(71·10⁶³-17)/9 =: 7888888888888888888888888888888888888888888888888888888888888887_<64>; = 3 · 11 · 1194731 · 212309323411646387_<18> · 942459508697954360191829398754317147687_<39>

(71·10⁶⁴-17)/9 =: 78888888888888888888888888888888888888888888888888888888888888887_<65>; = 4447 · 10232629453_<11> · 30516933956320322099_<20> · 56809447349085733057297217049343_<32>

(71·10⁶⁵-17)/9 =: 788888888888888888888888888888888888888888888888888888888888888887_<66>; = 11 · 107 · 430675847551_<12> · 84980931966061937493557_<23> · 18313332043973755294004993933_<29>

(71·10⁶⁶-17)/9 =: 7888888888888888888888888888888888888888888888888888888888888888887_<67>; = 3 · 239 · 35649048025806945773_<20> · 308637538529269686884035210469704850482366207_<45>

(71·10⁶⁷-17)/9 =: 78888888888888888888888888888888888888888888888888888888888888888887_<68>; = 7 · 11 · 55207341483226357_<17> · 65136263520019502226067_<23> · 284908520785551919629043549_<27>

(71·10⁶⁸-17)/9 =: 788888888888888888888888888888888888888888888888888888888888888888887_<69>; = 6397 · 13721 · 1627177 · 5523558110031266926720214987817979773685671174589568963_<55>

(71·10⁶⁹-17)/9 =: 7888888888888888888888888888888888888888888888888888888888888888888887_<70>; = 3² · 11 · 19 · 39301 · 12889733579_<11> · 3956017440896969409229_<22> · 2092769051584571682822109998797_<31>

(71·10⁷⁰-17)/9 =: 78888888888888888888888888888888888888888888888888888888888888888888887_<71>; = 3729109 · 53158148207_<11> · 46854944825642587_<17> · 8493476452230243828468253305650758927_<37>

(71·10⁷¹-17)/9 =: 788888888888888888888888888888888888888888888888888888888888888888888887_<72>; = 11 · 2357 · 102315119 · 297388217557072200747996106166761620375940605911721289958399_<60>

(71·10⁷²-17)/9 =: 7888888888888888888888888888888888888888888888888888888888888888888888887_<73>; = 3 · 47 · 89 · 13903 · 6321341527431623290699_<22> · 7153011814000550571371057927042755288333679_<43>

(71·10⁷³-17)/9 =: 78888888888888888888888888888888888888888888888888888888888888888888888887_<74>; = 7 · 11 · 239 · 810007687571_<12> · 391562785760479_<15> · 1877860728065081_<16> · 7197360950642085417054707801_<28>

(71·10⁷⁴-17)/9 =: 788888888888888888888888888888888888888888888888888888888888888888888888887_<75>; = 67 · 79 · 241 · 44644750484407_<14> · 232986445597760923475807_<24> · 59456021734361354330765884177451_<32>

(71·10⁷⁵-17)/9 =: 7888888888888888888888888888888888888888888888888888888888888888888888888887_<76>; = 3 · 11 · 23 · 233 · 5695633 · 31614797027777_<14> · 247734075206260316007422501182321982704123097150281_<51>

(71·10⁷⁶-17)/9 =: 78888888888888888888888888888888888888888888888888888888888888888888888888887_<77>; = 1543 · 31771 · 3631633 · 7235651931905516428763527_<25> · 61240595868996303904215107472091120469_<38>

(71·10⁷⁷-17)/9 =: 788888888888888888888888888888888888888888888888888888888888888888888888888887_<78>; = 11 · 677930291 · 10871567844608579_<17> · 1212245565655695641113_<22> · 8027038208525198718263675557781_<31>

(71·10⁷⁸-17)/9 =: 7888888888888888888888888888888888888888888888888888888888888888888888888888887_<79>; = 3² · 18731 · 38321 · 4779200149850993_<16> · 169184924611824469_<18> · 999469804901722933_<18> · 1511085273630568613_<19>

(71·10⁷⁹-17)/9 =: 78888888888888888888888888888888888888888888888888888888888888888888888888888887_<80>; = 7 · 11 · 45750209 · 16882031333057824630795928699_<29> · 1326500230348238789942113369872594973080841_<43>

(71·10⁸⁰-17)/9 =: 788888888888888888888888888888888888888888888888888888888888888888888888888888887_<81>; = 239 · 17439761 · 189268094332200596550795666886150505904748539890559857960955308005699753_<72>

(71·10⁸¹-17)/9 =: 7888888888888888888888888888888888888888888888888888888888888888888888888888888887_<82>; = 3 · 11 · 13967 · 1182461930028266382830927_<25> · 14474767577538337631446938403879785098501786268906871_<53>

(71·10⁸²-17)/9 =: 78888888888888888888888888888888888888888888888888888888888888888888888888888888887_<83>; = 307 · 991200481 · 30981232198717_<14> · 8367915249026783344659482188614761472192955756863503558033_<58>

(71·10⁸³-17)/9 =: 788888888888888888888888888888888888888888888888888888888888888888888888888888888887_<84>; = 11² · 2897 · 1721156707736293_<16> · 54390615177997935363952003_<26> · 24040173027605632120920564865558645169_<38>

(71·10⁸⁴-17)/9 =: 7888888888888888888888888888888888888888888888888888888888888888888888888888888888887_<85>; = 3 · 2081 · 75404362897_<11> · 16758148304284138602092243564646344348920448589694295651661116452110797_<71>

(71·10⁸⁵-17)/9 =: 78888888888888888888888888888888888888888888888888888888888888888888888888888888888887_<86>; = 7 · 11 · 86297 · 842764803778785827_<18> · 2386020828788512847_<19> · 17286071655370300789_<20> · 341548581805299850667003_<24>

(71·10⁸⁶-17)/9 =: 788888888888888888888888888888888888888888888888888888888888888888888888888888888888887_<87>; = definitely prime number

(71·10⁸⁷-17)/9 =: 7888888888888888888888888888888888888888888888888888888888888888888888888888888888888887_<88>; = 3³ · 11 · 19 · 79 · 109 · 239 · 4831 · 31907 · 27687138197284489243_<20> · 194480823842001539058343_<24> · 818420379115221436447925137_<27>

(71·10⁸⁸-17)/9 =: 78888888888888888888888888888888888888888888888888888888888888888888888888888888888888887_<89>; = 13462413365458307618251578178697597023_<38> · 5859936606262664353997676487761580940071396500304169_<52> (Tetsuya Kobayashi)

(71·10⁸⁹-17)/9 =: 788888888888888888888888888888888888888888888888888888888888888888888888888888888888888887_<90>; = 11 · 29 · 34747 · 33753689 · 2108563077328557833023148920964689052229943070870232092000973610151544144131_<76>

(71·10⁹⁰-17)/9 =: 7888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887_<91>; = 3 · 97² · 7812624709_<10> · 35772900386255458052214667241265974020785278516625994845040889844696075102809_<77>

(71·10⁹¹-17)/9 =: 78888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887_<92>; = 7 · 11 · 1201 · 3001 · 11870420183339_<14> · 99424845795799_<14> · 240854681997294534607223835259755396696744880737576229271_<57>

(71·10⁹²-17)/9 =: 788888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887_<93>; = 199 · 1167653 · 2748454007933_<13> · 12558248469077831943073879_<26> · 98362921187613648543295809322465914518002272103_<47>

(71·10⁹³-17)/9 =: 7888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887_<94>; = 3 · 11 · 103 · 57267140715398153_<17> · 40528373505695596127131002863452949245864017168098103879100618364143419721_<74>

(71·10⁹⁴-17)/9 =: 78888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887_<95>; = 239 · 330079033007903300790330079033007903300790330079033007903300790330079033007903300790330079033_<93>

(71·10⁹⁵-17)/9 =: 788888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887_<96>; = 11 · 3163 · 2823133 · 1754134763645765593_<19> · 3346848050259438611_<19> · 1368023861709273482134397312037747417056440849201_<49>

(71·10⁹⁶-17)/9 =: 7888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887_<97>; = 3² · 26497 · 1791191 · 5370783881_<10> · 3438721855148359158209042385802532749578166222771578589825352078534349406289_<76>

(71·10⁹⁷-17)/9 =: 78888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887_<98>; = 7² · 11 · 23 · 223080491479_<12> · 367654651815212089727323_<24> · 77588540067333589168125636998025858440059372579576613276063_<59>

(71·10⁹⁸-17)/9 =: 788888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887_<99>; = 547 · 162081433 · 8356972889_<10> · 1064746575503997082066473804130880721299949163721803076603324365765672235789933_<79>

(71·10⁹⁹-17)/9 =: 7888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887_<100>; = 3 · 11 · 257 · 1759 · 13097369478770827314774917546480904021185662313_<47> · 40375587747724965854713143085651540871489122081_<47> (Tetsuya Kobayashi)

(71·10¹⁰⁰-17)/9 =: 78888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887_<101>; = 79 · 523 · 4074589 · 19455067 · 24086323773589908225666911956755103563370879442762923826639966113113854555802996197_<83>

(71·10¹⁰¹-17)/9 =: 7(8)₁₀₀7_<102>; = 11 · 239 · 293 · 9403871 · 1162874217225355915538665893340755895927_<40> · 93652252687443050917112841800843875120222591456663_<50>

(71·10¹⁰²-17)/9 =: 7(8)₁₀₁7_<103>; = 3 · 3891053 · 3566830051501433_<16> · 189471992042232551877828708922270892032174940059079102769856003816451233430863321_<81>

(71·10¹⁰³-17)/9 =: 7(8)₁₀₂7_<104>; = 7 · 11 · 313 · 892079 · 342940993173996941_<18> · 10699366378660090875137534185442851296030194016667997015171649321688329979033_<77>

(71·10¹⁰⁴-17)/9 =: 7(8)₁₀₃7_<105>; = 241 · 55633 · 597562240510522453_<18> · 98465291271094236368897085512957116390497238252867877821534263932924251552614043_<80>

(71·10¹⁰⁵-17)/9 =: 7(8)₁₀₄7_<106>; = 3² · 11² · 19 · 1361 · 13873 · 1677826174968021169833080725494141118127293_<43> · 12035354357630505861337325592123842805087641524050833_<53> (Robert Backstrom / NFSX v1.8)

(71·10¹⁰⁶-17)/9 =: 7(8)₁₀₅7_<107>; = 59 · 12555666746417554906964929273531942630314232275686411_<53> · 106493732167396909508260293324910206583833022811100863_<54> (Robert Backstrom / NFSX v1.8 / Jun 13, 2003)

(71·10¹⁰⁷-17)/9 =: 7(8)₁₀₆7_<108>; = 11 · 67 · 839 · 3965786429149_<13> · 8916614558341843_<16> · 36079214578260336040234710987397398595625441642731921933568999613636912487_<74>

(71·10¹⁰⁸-17)/9 =: 7(8)₁₀₇7_<109>; = 3 · 61 · 239 · 3779 · 391168829 · 163185400324483937329_<21> · 58325790442059350826181_<23> · 12819874756466445731878737691199816776284185953189_<50>

(71·10¹⁰⁹-17)/9 =: 7(8)₁₀₈7_<110>; = 7 · 11 · 5791 · 606589 · 1435277 · 2090523813317_<13> · 573349717172974689667_<21> · 169537811090794822753279151421308386706802498648422538224923_<60>

(71·10¹¹⁰-17)/9 =: 7(8)₁₀₉7_<111>; = 157 · 829 · 50651 · 10617301 · 32955583 · 1997233647445448591_<19> · 171238584656736337325737264600463354004299925168730083728146800589993_<69>

(71·10¹¹¹-17)/9 =: 7(8)₁₁₀7_<112>; = 3 · 11 · 311 · 2411 · 16964531141_<11> · 21931522370476987_<17> · 351989139188200351_<18> · 2434469827116997315376893367292210072617303818529707521805627_<61>

(71·10¹¹²-17)/9 =: 7(8)₁₁₁7_<113>; = definitely prime number

(71·10¹¹³-17)/9 =: 7(8)₁₁₂7_<114>; = 11 · 79 · 459653798436104279443_<21> · 2648687446537771253662661190499709_<34> · 745649097054586031506809635686754513323442147841682944829_<57> (Robert Backstrom / GMP-ECM 5.0c)

(71·10¹¹⁴-17)/9 =: 7(8)₁₁₃7_<115>; = 3³ · 137817377 · 301563530142698231_<18> · 7030225839710493557676845490414089849444890228212676103030518547457123037235711046354163_<88>

(71·10¹¹⁵-17)/9 =: 7(8)₁₁₄7_<116>; = 7 · 11 · 239 · 12041 · 679286791 · 212369183556106938909179_<24> · 2467856993192889486379814691444548086566215671487215344100338965349254185721_<76>

(71·10¹¹⁶-17)/9 =: 7(8)₁₁₅7_<117>; = 89 · 373 · 192343 · 42110393373565629996470992368173598424012133777_<47> · 2933940599767135430928830143327138236307384008745744064796661_<61> (Robert Backstrom / NFSX v1.8)

(71·10¹¹⁷-17)/9 =: 7(8)₁₁₆7_<118>; = 3 · 11 · 29 · 112595265026542821339499_<24> · 73212253366036467651394752005172916816413476482687525171618215313792613162187240199708088009_<92>

(71·10¹¹⁸-17)/9 =: 7(8)₁₁₇7_<119>; = 47 · 107 · 337 · 1069 · 1003787 · 10529995122778357779228961_<26> · 4119617180774133455166813341818322304276678738382359763796797089779695736807893_<79>

(71·10¹¹⁹-17)/9 =: 7(8)₁₁₈7_<120>; = 11 · 23 · 4036057 · 52783158886049_<14> · 1612673636654035328243803336911208245161705053_<46> · 9076035023136885118377064872626394508827676182904151_<52> (Robert Backstrom / NFSX v1.8)

(71·10¹²⁰-17)/9 =: 7(8)₁₁₉7_<121>; = 3 · 557 · 999331 · 45955333352909727530804996548392128241501702799_<47> · 102800235335263325744551582077500397869976500226821039378135360213_<66> (Robert Backstrom / NFSX v1.8)

(71·10¹²¹-17)/9 =: 7(8)₁₂₀7_<122>; = 7 · 11 · 19304641 · 28835229079_<11> · 4045456010692943125500209_<25> · 454959245861640535830808155537908422724484936862532789268574601615981455916981_<78>

(71·10¹²²-17)/9 =: 7(8)₁₂₁7_<123>; = 193 · 239 · 11177 · 12228015410496317_<17> · 125135173763195146321314260212900532056416637249075485376968304953874683419898483193900918391443109_<99>

(71·10¹²³-17)/9 =: 7(8)₁₂₂7_<124>; = 3² · 11 · 19 · 1151 · 1204117 · 370229261050963537831_<21> · 55635038049551858054118209142540959_<35> · 146914243299184252015063853978913224346470665362553538389_<57> (Robert Backstrom / GMP-ECM 5.0c)

(71·10¹²⁴-17)/9 =: 7(8)₁₂₃7_<125>; = 163694168386103136887367731168721383654231064271_<48> · 481928523579500854174266264777940501564876020491450732016008144201331345052697_<78> (Robert Backstrom / NFSX v1.8)

(71·10¹²⁵-17)/9 =: 7(8)₁₂₄7_<126>; = 11 · 164771 · 137259487 · 885158341357_<12> · 3582440936487594957085932561599369430947643586612536112169680808484653757501635875073589960003620653_<100>

(71·10¹²⁶-17)/9 =: 7(8)₁₂₅7_<127>; = 3 · 79 · 1063 · 31313688624618998411822637503478686183474399295397902159277297708058511611865506384243657544680443807585763121207349984277_<122>

(71·10¹²⁷-17)/9 =: 7(8)₁₂₆7_<128>; = 7 · 11² · 103 · 904263922798785993843363658015026064452366305852625358362339827476632419262604611236561810259956773637267900286435149630207_<123>

(71·10¹²⁸-17)/9 =: 7(8)₁₂₇7_<129>; = 2677 · 26017 · 21942780423188321762874568703107_<32> · 516200705660573756750085634249422677876284822884670842235493838673091851232573149559357449_<90> (Robert Backstrom / GMP-ECM 5.0c)

(71·10¹²⁹-17)/9 =: 7(8)₁₂₈7_<130>; = 3 · 11 · 239 · 631 · 2101807 · 5763898573_<10> · 130847513803683752496344869799781628740077614337198631941121854473992179315013070383865698317782420990504261_<108>

(71·10¹³⁰-17)/9 =: 7(8)₁₂₉7_<131>; = 2809985184407293939_<19> · 18505426523885891069_<20> · 1517094765043409590821203616156627684899535872074191071740471177022872884728113822006168511857_<94>

(71·10¹³¹-17)/9 =: 7(8)₁₃₀7_<132>; = 11 · 17713 · 123361295171837_<15> · 10097882580641482859_<20> · 74853108839112500589769949635127307869_<38> · 43422212896252176030193716128870795195380804929214985767_<56> (Robert Backstrom / GMP-ECM 5.0c)

(71·10¹³²-17)/9 =: 7(8)₁₃₁7_<133>; = 3² · 1011139 · 10175159 · 132436531351_<12> · 643299873885517414438232113397387586340415347387804383491106051083977052821638971616919457648134476406598693_<108>

(71·10¹³³-17)/9 =: 7(8)₁₃₂7_<134>; = 7 · 11 · 30779269492978125803_<20> · 33286398326144726486830711493543521699506078649764441366614128236258878572227530084477970646371841827750537705977_<113>

(71·10¹³⁴-17)/9 =: 7(8)₁₃₃7_<135>; = 241 · 21587 · 28901 · 658256732448439_<15> · 174536449572874591_<18> · 139402213714452235223_<21> · 13154056330369824788069_<23> · 24904786355368383976638295426872324830346030045547_<50>

(71·10¹³⁵-17)/9 =: 7(8)₁₃₄7_<136>; = 3 · 11 · 289370961227_<12> · 871901476351_<12> · 947500699898319670561047628380853597138645846112363188583442155512267752872256161686417003478778992745404060507_<111>

(71·10¹³⁶-17)/9 =: 7(8)₁₃₅7_<137>; = 113 · 239 · 2921053389450471688410000699407149586732657788310026618613281330354681708034542484870177690557592064608763983000292105338945047168841_<133>

(71·10¹³⁷-17)/9 =: 7(8)₁₃₆7_<138>; = 11 · 9537673 · 40853637250668520695435913_<26> · 479118047340424200448510695121253185739186089_<45> · 384155864176113055345080926947931754314414467407368533487597_<60> (Robert Backstrom / NFSX v1.8)

(71·10¹³⁸-17)/9 =: 7(8)₁₃₇7_<139>; = 3 · 497589033115324640626102330769306515629359267339105914379_<57> · 5284741934857251295549603541307186208907336416374025172372021148916822046895889751_<82> (Greg Childers / GGNFS)

(71·10¹³⁹-17)/9 =: 7(8)₁₃₈7_<140>; = 7² · 11 · 79 · 255160033657_<12> · 74683163719405354510140581375543030633_<38> · 97222016550347459714234634927812482067585583291822069595377195849699467194412554310267_<86> (Greg Childers / GGNFS)

(71·10¹⁴⁰-17)/9 =: 7(8)₁₃₉7_<141>; = 67 · 11329115051407_<14> · 438645112216249819274995785373443797591_<39> · 2369363833052043505260160173273515243743938145451689220954572120377577758305105168418053_<88> (Greg Childers / GGNFS)

(71·10¹⁴¹-17)/9 =: 7(8)₁₄₀7_<142>; = 3⁶ · 11 · 19 · 23 · 2243 · 27487 · 3246770170253_<13> · 4668618310201_<13> · 42194498626499_<14> · 476876280727544500728473497_<27> · 119717076872280688795588087468480084794652540407161978128333691_<63>

(71·10¹⁴²-17)/9 =: 7(8)₁₄₁7_<143>; = 280832068457891633_<18> · 280911255335206146953884852881319016278073233899229605520619131626758449598678011036837928971983165524990920830813003305214439_<126>

(71·10¹⁴³-17)/9 =: 7(8)₁₄₂7_<144>; = 11 · 239 · 20071 · 43030187 · 9602224696061_<13> · 36183547562757743320806012524415670208516650408117125390838884813036291930659567571207215882957930421257044870189699_<116>

(71·10¹⁴⁴-17)/9 =: 7(8)₁₄₃7_<145>; = 3 · 409 · 60917 · 416898934044821_<15> · 6757499995350384117263_<22> · 153158056453768495055011297_<27> · 13564895012003560081866051041_<29> · 18032653886067755794968489362410923981884077283_<47>

(71·10¹⁴⁵-17)/9 =: 7(8)₁₄₄7_<146>; = 7 · 11 · 29 · 67457557 · 523716801933861772150803333006920101972558693476993414016445938679596677678907828963259500429556190283098805793279829184642125277395827_<135>

(71·10¹⁴⁶-17)/9 =: 7(8)₁₄₅7_<147>; = 6397 · 3471917 · 4513277 · 257242851813154370923_<21> · 30593900487679875944498628422805533854195856571070086128629473813870202137626059857111738739475016063512356753_<110>

(71·10¹⁴⁷-17)/9 =: 7(8)₁₄₆7_<148>; = 3 · 11 · 7866941 · 2411716854538498351434879565592026270255766655401_<49> · 12599975127327249106637760921991198006549550241223232357269921755064764788764675455843046379_<92> (Greg Childers / GGNFS)

(71·10¹⁴⁸-17)/9 =: 7(8)₁₄₇7_<149>; = 200239777933478233_<18> · 6999923554200527477250208157_<28> · 56282345413572439323516177921437327186187942992018300382718457187714417860452370072320877104218442115227_<104> (Tetsuya Kobayashi / GMP-ECM 5.0.1 B1=250000)

(71·10¹⁴⁹-17)/9 =: 7(8)₁₄₈7_<150>; = 11² · 644557 · 15998862963799_<14> · 434527243325642267562383_<24> · 1455000058521412179953733901840124840854882097120127242613184631392319340534302956477240524692270725475363_<106>

(71·10¹⁵⁰-17)/9 =: 7(8)₁₄₉7_<151>; = 3² · 167 · 239 · 674928383 · 78263261039_<11> · 415760595391963343640030247943241592601059468584650612006530708631066426735473442243170263057272230916993571010698068017882103_<126>

(71·10¹⁵¹-17)/9 =: 7(8)₁₅₀7_<152>; = 7 · 11 · 2205331001349523573387368105769_<31> · 464570181938256034584375771245098460597040578279992603056301171490975801434203173520421749936099623719003021600191268699_<120> (Tyler Cadigan / GGNFS-0.77.1-20060722-pentium4 / 56.86 hours on Pentium 4 3.20 GHz, 1 Gig RAM, Windows XP and Cygwin / Jan 11, 2007)

(71·10¹⁵²-17)/9 =: 7(8)₁₅₁7_<153>; = 79 · 443 · 563 · 6997 · 66570799543_<11> · 47307212265997876112975693_<26> · 1816994544717289624399962542148395539814907049221027510874334313176363982280965307217935229762849872170239_<106> (Makoto Kamada / GMP-ECM 5.0.3 B1=4000000, sigma=286110741 for P26 / Feb 25, 2005)

(71·10¹⁵³-17)/9 =: 7(8)₁₅₂7_<154>; = 3 · 11 · 6755081 · 59590947821140936909_<20> · 593869532751002952545151004529884869889612551636061762240460807766731221027790919774461030206263850202972965048394638170064091_<126>

(71·10¹⁵⁴-17)/9 =: 7(8)₁₅₃7_<155>; = 197 · 520867 · 5751145261_<10> · 53701924431312439410408177111495360811709318993_<47> · 2489307707460823521893037761555514767129507905859057023337340854513007304174704820222113581_<91> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 44.09 hours on Cygwin on Amd XP 2700+ / Mar 23, 2007)

(71·10¹⁵⁵-17)/9 =: 7(8)₁₅₄7_<156>; = 11 · 2891527 · 24802525349814031538255451779344172532961709061396181730869942323613688259427344692673358115527598987376468271510925444296981204642796597497349037971_<149>

(71·10¹⁵⁶-17)/9 =: 7(8)₁₅₅7_<157>; = 3 · 599 · 12277 · 31099767261536178071546920819_<29> · 36223816354507886781000373247374248840998059419011231_<53> · 317412601069020689414883025797217762217539557105881695471292639044507_<69> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 41.42 hours on Cygwin on AMD 64 3200+ / Apr 10, 2007)

(71·10¹⁵⁷-17)/9 =: 7(8)₁₅₆7_<158>; = 7 · 11 · 149 · 179 · 239 · 10114225049003_<14> · 5959725588457493_<16> · 20409324341224909_<17> · 130647291347576537044881413593514010637113258222319985769650850499011595443554601609292207526272935382409_<105>

(71·10¹⁵⁸-17)/9 =: 7(8)₁₅₇7_<159>; = 269 · 1603339 · 3028189104273797_<16> · 604025411957859917127132074068719425100115568562876238705577264775723257836929072123397619796287152205794950231812558589716961368288581_<135>

(71·10¹⁵⁹-17)/9 =: 7(8)₁₅₈7_<160>; = 3² · 11 · 19 · 1109 · 3623 · 5261 · 267040418211849516599855437_<27> · 40952345579027162659509811761961327_<35> · 18142748524569935341717716457506943467605125808300221525169648512901304619161112676899_<86> (Makoto Kamada / GMP-ECM 5.0.3 B1=400000, sigma=1170697803 for P27) (Jo Yeong Uk / GMP-ECM 6.1.2 B1=1000000, sigma=1113499011 for P35 / Jul 15, 2007)

(71·10¹⁶⁰-17)/9 =: 7(8)₁₅₉7_<161>; = 89 · 3491 · 78791 · 163337 · 494927 · 20992251737_<11> · 25597988189016413_<17> · 11466231815762675161044743195594232084784560019479973_<53> · 6469758533064433639393094558069579940474812145379136995723789_<61> (Sinkiti Sibata / GGNFS-0.77.1 gnfs / 53.10 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Feb 14, 2006)

(71·10¹⁶¹-17)/9 =: 7(8)₁₆₀7_<162>; = 11 · 103 · 401 · 4217 · 21259219 · 216834385252243999_<18> · 6890044023845901132547_<22> · 12964044111276824440322890407627774349646086265425136250761893528900686114317805965454751897170649151515181_<107>

(71·10¹⁶²-17)/9 =: 7(8)₁₆₁7_<163>; = 3 · 243502289 · 116444549857_<12> · 128270027616314750452923569549_<30> · 3386184936137402790776200334857258952729771_<43> · 213518991010401372381688432413728927073750464555050022709806288337774787_<72> (Makoto Kamada / GMP-ECM 5.0.3 B1=400000, sigma=57697713 for P30) (Sinkiti Sibata / GGNFS-0.77.1 gnfs for P43 x P72 / 65.96 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Feb 20, 2006)

(71·10¹⁶³-17)/9 =: 7(8)₁₆₂7_<164>; = 7 · 11 · 23 · 44544827153522805696718740197001066566283957588305414392370914110044544827153522805696718740197001066566283957588305414392370914110044544827153522805696718740197_<161>

(71·10¹⁶⁴-17)/9 =: 7(8)₁₆₃7_<165>; = 47 · 59 · 239 · 241 · 11813 · 4917763985780197_<16> · 39021409509760665532289_<23> · 695956539141741369581981293_<27> · 3130675593833141774600796619014181735991086661666814604742592715409649688056950822198273_<88> (Makoto Kamada / GMP-ECM 5.0.3 B1=400000, sigma=2635439643)

(71·10¹⁶⁵-17)/9 =: 7(8)₁₆₄7_<166>; = 3 · 11 · 79 · 467 · 1619 · 377387 · 1719997418393992940622623083871_<31> · 38022766744779558259291504973562443163143_<41> · 162163322041498669991056527746571842965333158652283809975565132898038976089503147_<81> (Robert Backstrom / GMP-ECM 6.0.1 B1=236500, sigma=200058169 for P31, B1=1880500, sigma=190527442 for P41 / Nov 8, 2007)

(71·10¹⁶⁶-17)/9 =: 7(8)₁₆₅7_<167>; = 134850917 · 651848668311457681434595316282892913713581_<42> · 897460106491496446614435004796283119759388322955462991597812172002637625312740762585824492525266076716658116988493431_<117> (Robert Backstrom / GGNFS-0.77.1-20060513-athlon-xp snfs, Msieve 1.32 / Jan 15, 2008)

(71·10¹⁶⁷-17)/9 =: 7(8)₁₆₆7_<168>; = 11 · 2713 · 9787 · 552001 · 54732839380369_<14> · 1311399187670083_<16> · 479337030012945707_<18> · 142219791603071468748040951919074906128481019041248051436880311046369152977777950086232578629033671171319463_<108>

(71·10¹⁶⁸-17)/9 =: 7(8)₁₆₇7_<169>; = 3³ · 61 · 692912981 · 1573653452257_<13> · 170069809907779157_<18> · 81536190423163571092923033457303_<32> · 115590451395574759743903097570647982150751_<42> · 2740531773173258744191221418003242079036846153092673753_<55> (Robert Backstrom / GMP-ECM 6.0.1 B1=314000, sigma=344281278 for P32, Msieve v. 1.33 for P42 x P55 / Feb 14, 2008)

(71·10¹⁶⁹-17)/9 =: 7(8)₁₆₈7_<170>; = 7 · 11 · 2517919 · 22273117 · 11409640629076421191434060010145846556226043653471327_<53> · 1601144010506807619000508842408173481687372550772951863625802499128877259926572721944100979348066363311_<103> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs, Msieve 1.36 / 81.67 hours on Cygwin on AMD 64 3400+ / Jul 27, 2008)

(71·10¹⁷⁰-17)/9 =: 7(8)₁₆₉7_<171>; = definitely prime number

(71·10¹⁷¹-17)/9 =: 7(8)₁₇₀7_<172>; = 3 · 11² · 107 · 239 · 41617 · 743770934175463115201037183333790751921305348910579_<51> · 82351698218466862057837603678567544986836853816071383_<53> · 333384192006290094571037308928858215235936225349216967277_<57> (Tyler Cadigan / GGNFS, Msieve 1.38 snfs / 98.26 hours on C2Q Q6600 2.40 Ghz, 4 Gb RAM, Vista 32-bit / Nov 15, 2008)

(71·10¹⁷²-17)/9 =: 7(8)₁₇₁7_<173>; = 3581 · 82171 · 955313 · 2067281946529202110013011_<25> · 135752409375038454368710288855077692113546820187427882240803007709688539462273646180901542897585397841111010448813439082293322327696659_<135>

(71·10¹⁷³-17)/9 =: 7(8)₁₇₂7_<174>; = 11 · 29 · 67 · 823 · 1582463403319849_<16> · [28341109182351822524399586849835969517898239138496522480536844690401075921132217177734311314278121654348265974147222380787602769778535546712832600200397_<152>] SUBMIT/RESERVE

(71·10¹⁷⁴-17)/9 =: 7(8)₁₇₃7_<175>; = 3 · 131 · 2996204640491_<13> · 6699645395328343743745268264902281035266415155946820552008548874445900976554896364373081272010878639763408997072838365682626483578628688312337484980911952749949_<160>

(71·10¹⁷⁵-17)/9 =: 7(8)₁₇₄7_<176>; = 7 · 11 · 396269353 · 7274644622556034107023_<22> · 355404437545204095777128266563696195728678567320780371046069351557448843209825339679667715823795910906355257426526927087952629348601412456671349_<144>

(71·10¹⁷⁶-17)/9 =: 7(8)₁₇₅7_<177>; = 12444683223615891402820327212798136433_<38> · 3674375738140870081368352967131977691087_<40> · 17252356679429901956285793702431420438333359105122269293068907650150673519737446668316923181906393897_<101> (Sinkiti Sibata / GGNFS-0.77.1-20060722-pentium4 / 853.40 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Apr 16, 2007)

(71·10¹⁷⁷-17)/9 =: 7(8)₁₇₆7_<178>; = 3² · 11 · 19 · 461 · 53003 · 293732138416785503474953843403_<30> · 584351549121526817472239008645961640671838483416139585509952536730167633447579656425400241150635003290073163563155453362820726497771397923_<138> (Makoto Kamada / GMP-ECM 6.0 B1=4000000, sigma=3779937913 for P30 / Mar 29, 2005)

(71·10¹⁷⁸-17)/9 =: 7(8)₁₇₇7_<179>; = 79 · 181 · 239 · 16543979 · 2640168793_<10> · 1124266841391479029_<19> · 156702928315222366369_<21> · 34606454852969814749777_<23> · 1999279693243405200196603009_<28> · 43357419650292760648596259849079473200578810565197817444903313602277_<68> (Makoto Kamada / msieve 0.88)

(71·10¹⁷⁹-17)/9 =: 7(8)₁₇₈7_<180>; = 11 · 97073 · 896353 · 25281703582453_<14> · [32601628265626926294148704698926157615121967748880860223983378102804722876654487015914273989816212174383941497706845485998455151761394570619587636071676481_<155>] SUBMIT/RESERVE

(71·10¹⁸⁰-17)/9 =: 7(8)₁₇₉7_<181>; = 3 · 1553 · 293532443 · 4408740381351211_<16> · 622102300456603391_<18> · [2103248981281515965462048666861111473781804928850566688405834917730209436326314397355345120232052619123583759654917350980081396913425851_<136>] SUBMIT/RESERVE

(71·10¹⁸¹-17)/9 =: 7(8)₁₈₀7_<182>; = 7² · 11 · 797 · 15985649 · 364650870169_<12> · 3569909160308867_<16> · [8824783516226005573875572709268654436052599959374806543322217820467133575759576702925271597646511472193136003604434037743418134625520449217307_<142>] SUBMIT/RESERVE

(71·10¹⁸²-17)/9 =: 7(8)₁₈₁7_<183>; = 379 · 1021 · 2254085732632417_<16> · 70354500661406300509_<20> · 12897936240962970721879_<23> · 13855196374270107186027526900439874151942013_<44> · 71937552978293304611770250967086159641208638041183449177873097949335842345303_<77> (Alexander Mkrtychyan / ggnfs-0.77.1-20060513-win32-athlon-xp gnfs for P44 x P77 / Jan 4, 2007)

(71·10¹⁸³-17)/9 =: 7(8)₁₈₂7_<184>; = 3 · 11 · 14897 · 256903 · 1242233 · 29019737 · 1050211289_<10> · 7207862430104868349_<19> · 228904431290588125298400483165860486352529683619316505507134648328922165516361779481919412031692370961318273479510192383938657402509_<132>

(71·10¹⁸⁴-17)/9 =: 7(8)₁₈₃7_<185>; = 584027 · 67972403356899191_<17> · 2689572403442632769337374190077_<31> · 12252647954833593078177200604809_<32> · 1925866741774738582164323933510316983_<37> · 31312003673636456198021235073960417940459037776283793591711449889_<65> (Makoto Kamada / GMP-ECM 5.0.3 B1=67240, sigma=123770603 for P32) (Robert Backstrom / GMP-ECM 6.1.3 B1=246000, sigma=338114551 for P31, GGNFS-0.77.1-20051202-k8 gnfs, Msieve 1.33 for P37 x P65 / Feb 17, 2008)

(71·10¹⁸⁵-17)/9 =: 7(8)₁₈₄7_<186>; = 11 · 23 · 239 · 9675894380217614893_<19> · [1348361358909399339335782319285350179995234147370219351932147281979077090323662992743689062400018164255966470113624783618982776669284193751045802843365152594896577_<163>] SUBMIT/RESERVE

(71·10¹⁸⁶-17)/9 =: 7(8)₁₈₅7_<187>; = 3² · 97 · 15443 · 70991 · 82499 · 518124795993055099_<18> · [192833981821483603744252996793764174842319886815934965236910614585800697046778228274092629072909945569213530178249807989837493644974040714656125331055963_<153>] SUBMIT/RESERVE

(71·10¹⁸⁷-17)/9 =: 7(8)₁₈₆7_<188>; = 7 · 11 · 215417029 · 132804761599_<12> · 703567952440589_<15> · 4083529396276175089_<19> · 552481765295476279643_<21> · 22561696437689482202377264094371264668246069746155824371627108839710285668799103220572403746409419961216509519687_<113>

(71·10¹⁸⁸-17)/9 =: 7(8)₁₈₇7_<189>; = 157 · 60505443626581_<14> · 88070384423676456077_<20> · 4483910900759573321081318581_<28> · 210297868619313483318589446270113318842575255946064816865759266229452214096505195733127095186978545359820920181663363006976903_<126>

(71·10¹⁸⁹-17)/9 =: 7(8)₁₈₈7_<190>; = 3 · 11 · 547 · 20771 · 4137671353_<10> · [5085119634770558916372053445156363084150347847993244486816725628628976713335202366080749376195851841642507402316418631134938552675942956193027401526240770999752228686933399_<172>] SUBMIT/RESERVE

(71·10¹⁹⁰-17)/9 =: 7(8)₁₈₉7_<191>; = 15073 · 19403 · 89882231 · 27578264513_<11> · 1005770645897839_<16> · 11369559029669171813_<20> · 54199323118774369622038618504219850957_<38> · 175577976731131661812043593232506970976847183659624924342240801835328186189054850754452122509_<93> (Robert Backstrom / GMP-ECM 6.1.3 B1=3964000, sigma=1632219878 for P38 / May 1, 2008)

(71·10¹⁹¹-17)/9 =: 7(8)₁₉₀7_<192>; = 11 · 79 · 199 · 118369 · [38539405210516568705652170366915510999295028183839645760726264008344863240876420720652499093033301014488296907961572583201089697322489290474954007457994502452865850776297131158531933_<182>] SUBMIT/RESERVE

(71·10¹⁹²-17)/9 =: 7(8)₁₉₁7_<193>; = 3 · 239 · 431 · 709 · 17863 · 7818138441482479473279933503_<28> · 257819299158319774527379208460787909625521352652374818131852684022564137467590536682267201066985701426877107876857793199288896531178496788480608797398081_<153> (Makoto Kamada / GMP-ECM 5.0.3 B1=4000000, sigma=2658718101 for P28 / Mar 9, 2005)

(71·10¹⁹³-17)/9 =: 7(8)₁₉₂7_<194>; = 7 · 11² · 6481 · 124703 · 52638042261701081459_<20> · [2189342851919073359352499418897830658566585976472372104388578244366387613690583613370661343637857281794189356351823716609517847575641839994428346936664748796809933_<163>] SUBMIT/RESERVE

(71·10¹⁹⁴-17)/9 =: 7(8)₁₉₃7_<195>; = 241 · 491 · 3739 · 70667 · 2995036037927807_<16> · [8424480555560177027007290435946168923494604061817246303916082705997762987018952974010155214145176623589777231050130471923983214746209207539436849738218780671216315347_<166>] SUBMIT/RESERVE

(71·10¹⁹⁵-17)/9 =: 7(8)₁₉₄7_<196>; = 3³ · 11 · 19 · 103 · 109 · 471091 · [264324402437918778089670367055837897711379881367315128873122710154801038764375711818546118322152603362226328313037106575451375681300933021768706577632156374557664187708416834892715237_<183>] SUBMIT/RESERVE

(71·10¹⁹⁶-17)/9 =: 7(8)₁₉₅7_<197>; = 1560988213663_<13> · 954330522366167103569_<21> · 736365491401017835951513_<24> · [71915743289450943914569930249280369204020067104892132795198307668684529679812890089140113653037972635274526642485969884596773988691322754817_<140>] SUBMIT/RESERVE

(71·10¹⁹⁷-17)/9 =: 7(8)₁₉₆7_<198>; = 11 · 2857 · 364677617 · 13534960196825995238791_<23> · 20156678103655408433963899_<26> · 252306164884428258717957859525221401005146011613889692693720225616826712509558047018245441799125681726596959861976689748365318107906966577_<138>

(71·10¹⁹⁸-17)/9 =: 7(8)₁₉₇7_<199>; = 3 · 214174957 · 7028572982139370167790480255649_<31> · [1746862562467380248119030911967387426321458529683450495371415590591659222234729701631478386438280766700113951265045633708921823699119520795223624506675796515953_<160>] (Alexander Mkrtychyan / GMP-ECM 6.1.1 B1=250000, sigma=1992275066 for P31 / Jan 4, 2007) SUBMIT/RESERVE

(71·10¹⁹⁹-17)/9 =: 7(8)₁₉₈7_<200>; = 7 · 11 · 239 · 820759 · 1808117 · 463882459 · 256072068298950119_<18> · 24317272978845166805335808432254952605240638688239667544454965103674046601692744244285610036214104565133384480287443271039957978879919553496858957894705907883_<158>

(71·10²⁰⁰-17)/9 =: 7(8)₁₉₉7_<201>; = 9689673989_<10> · 1223857160114467_<16> · 66523630233179910203378863221218436748546261335751216818836761390713477317901689374848192981799498143743266155372663953083386884576044028766446237417389503085624409237730944249_<176>

4. References

Plateau and Depression Primes (Patrick De Geest)