Factorizations of 699...997

Table of contents

1. About 699...997
   • First ten terms
   • General term
2. Prime numbers of the form 699...997
   • Last update
   • Searched up to
   • Difficulty of search
   • Results
3. Factorizations of 699...997
   • Last update
   • Completed up to
   • Range
   • Terms which have not been factored yet
   • Results
4. References

1. About 699...997

First ten terms

67, 697, 6997, 69997, 699997, 6999997, 69999997, 699999997, 6999999997, 69999999997

General term

7·10ⁿ-3

2. Prime numbers of the form 699...997

Last update

Aug 9, 2009

Searched up to

n≤10000

Difficulty of search

22.39%

Results

1. 7·10¹-3 = 67 is prime.
2. 7·10³-3 = 6997 is prime.
3. 7·10⁴-3 = 69997 is prime.
4. 7·10⁶-3 = 6999997 is prime.
5. 7·10¹⁰-3 = 69999999997_<11> is prime.
6. 7·10²⁰-3 = 6(9)₁₉7_<21> is prime.
7. 7·10⁵¹-3 = 6(9)₅₀7_<52> is prime.
8. 7·10¹³⁸-3 = 6(9)₁₃₇7_<139> is prime. (Makoto Kamada / PPSIQS / Jan 6, 2004)
9. 7·10¹⁹⁰-3 = 6(9)₁₈₉7_<191> is prime. (Makoto Kamada / PPSIQS / Jan 6, 2004)
10. 7·10³⁶⁰-3 = 6(9)₃₅₉7_<361> is prime. (Makoto Kamada / PPSIQS / Jan 6, 2004)
11. 7·10³⁷⁸-3 = 6(9)₃₇₇7_<379> is prime. (Makoto Kamada / PPSIQS / Jan 6, 2004)
12. 7·10³⁹³-3 = 6(9)₃₉₂7_<394> is prime. (Makoto Kamada / PPSIQS / Jan 6, 2004)
13. 7·10¹³⁸⁴-3 = 6(9)₁₃₈₃7_<1385> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Sep 7, 2006)
14. 7·10¹⁵⁹⁴-3 = 6(9)₁₅₉₃7_<1595> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Aug 7, 2006)
15. 7·10²⁷⁵⁹-3 = 6(9)₂₇₅₈7_<2760> is PRP. (Makoto Kamada / PFGW / Dec 17, 2004)
16. 7·10²⁸⁶⁸-3 = 6(9)₂₈₆₇7_<2869> is PRP. (Makoto Kamada / PFGW / Dec 17, 2004)
17. 7·10⁵³⁹⁵-3 = 6(9)₅₃₉₄7_<5396> is PRP. (Makoto Kamada / PFGW / Dec 21, 2004)
18. 7·10⁷⁴⁹⁴-3 = 6(9)₇₄₉₃7_<7495> is PRP. (Makoto Kamada / PFGW / Dec 29, 2004)

3. Factorizations of 699...997

Last update

Nov 4, 2009

Completed up to

• n≤100 / Jan 6, 2005
• n≤150 / Jul 28, 2007

Range

n≤200

Terms which have not been factored yet

n=180, 182, 184, 188, 189, 192, 196, 197, 198, 199 (10/200)

Results

7·10¹-3 =

67

= definitely prime number

7·10²-3 =

697

= 17 · 41

7·10³-3 =

6997

= definitely prime number

7·10⁴-3 =

69997

= definitely prime number

7·10⁵-3 =

699997

= 43 · 73 · 223

7·10⁶-3 =

6999997

= definitely prime number

7·10⁷-3 =

69999997

= 29 · 41 · 113 · 521

7·10⁸-3 =

699999997

= 127 · 5511811

7·10⁹-3 =

6999999997_<10>

= 1361 · 5143277

7·10¹⁰-3 =

69999999997_<11>

= definitely prime number

7·10¹¹-3 =

699999999997_<12>

= 19 · 139 · 797 · 332561

7·10¹²-3 =

6999999999997_<13>

= 41 · 68351 · 2497867

7·10¹³-3 =

69999999999997_<14>

= 73 · 15259 · 62841871

7·10¹⁴-3 =

699999999999997_<15>

= 83 · 77263 · 109156193

7·10¹⁵-3 =

6999999999999997_<16>

= 30403 · 230240436799_<12>

7·10¹⁶-3 =

69999999999999997_<17>

= 2011 · 34808552958727_<14>

7·10¹⁷-3 =

699999999999999997_<18>

= 41 · 3637 · 4694300448641_<13>

7·10¹⁸-3 =

6999999999999999997_<19>

= 17 · 773 · 44809 · 11887878913_<11>

7·10¹⁹-3 =

69999999999999999997_<20>

= 61 · 8929 · 128518421279713_<15>

7·10²⁰-3 =

699999999999999999997_<21>

= definitely prime number

7·10²¹-3 =

6999999999999999999997_<22>

= 23 · 73 · 6571 · 634476990193433_<15>

7·10²²-3 =

69999999999999999999997_<23>

= 41 · 163 · 41538923 · 252157184533_<12>

7·10²³-3 =

699999999999999999999997_<24>

= 16521641 · 44677183 · 948329099

7·10²⁴-3 =

6999999999999999999999997_<25>

= 231109 · 888799 · 34078276656967_<14>

7·10²⁵-3 =

69999999999999999999999997_<26>

= 2356802281_<10> · 29701261138587637_<17>

7·10²⁶-3 =

699999999999999999999999997_<27>

= 43 · 47 · 28607 · 4335593 · 2792613956207_<13>

7·10²⁷-3 =

6999999999999999999999999997_<28>

= 41 · 1021 · 1559 · 22717 · 4721623438020859_<16>

7·10²⁸-3 =

69999999999999999999999999997_<29>

= 1907 · 36706869428421604614577871_<26>

7·10²⁹-3 =

699999999999999999999999999997_<30>

= 19 · 73 · 179 · 2819476946748136124346989_<25>

7·10³⁰-3 =

6999999999999999999999999999997_<31>

= 20521 · 2541503 · 134217422053074868619_<21>

7·10³¹-3 =

69999999999999999999999999999997_<32>

= 1511 · 59467 · 95575279 · 8151020239232639_<16>

7·10³²-3 =

699999999999999999999999999999997_<33>

= 41 · 12347 · 281994292651_<12> · 4903570419562861_<16>

7·10³³-3 =

6999999999999999999999999999999997_<34>

= 15731 · 444981247218867204882079969487_<30>

7·10³⁴-3 =

69999999999999999999999999999999997_<35>

= 17 · 67 · 2293 · 117435813608647_<15> · 228228407669813_<15>

7·10³⁵-3 =

699999999999999999999999999999999997_<36>

= 29 · 6518111 · 13717063 · 269971025878306230601_<21>

7·10³⁶-3 =

6999999999999999999999999999999999997_<37>

= 2703683 · 11107697 · 233087103628509622361647_<24>

7·10³⁷-3 =

69999999999999999999999999999999999997_<38>

= 41 · 73 · 173 · 24860656395787_<14> · 5437917680324416579_<19>

7·10³⁸-3 =

699999999999999999999999999999999999997_<39>

= 647 · 3217 · 585991093 · 573920428525059482866271_<24>

7·10³⁹-3 =

6999999999999999999999999999999999999997_<40>

= 86891257 · 1064998556265869_<16> · 75643730913398009_<17>

7·10⁴⁰-3 =

69999999999999999999999999999999999999997_<41>

= 89 · 15137 · 102006107399843_<15> · 509380185741578542103_<21>

7·10⁴¹-3 =

699999999999999999999999999999999999999997_<42>

= 263 · 877 · 17351 · 1142039 · 86565509 · 1769262881624307547_<19>

7·10⁴²-3 =

6999999999999999999999999999999999999999997_<43>

= 41 · 1097 · 8693 · 17903497341040352434335080643912377_<35>

7·10⁴³-3 =

69999999999999999999999999999999999999999997_<44>

= 23 · 229 · 13290298082399848110879058287450161382191_<41>

7·10⁴⁴-3 =

699999999999999999999999999999999999999999997_<45>

= 373 · 13749236177_<11> · 136493080710657878820121727544857_<33>

7·10⁴⁵-3 =

6999999999999999999999999999999999999999999997_<46>

= 73 · 97 · 129041964831226343977_<21> · 7660770967131485076781_<22>

7·10⁴⁶-3 =

69999999999999999999999999999999999999999999997_<47>

= 59 · 489653 · 8046831307_<10> · 301115222846773218569445624673_<30>

7·10⁴⁷-3 =

699999999999999999999999999999999999999999999997_<48>

= 19 · 41 · 43 · 20897393796459384422485595724990297638594501_<44>

7·10⁴⁸-3 =

6999999999999999999999999999999999999999999999997_<49>

= 109 · 167 · 965201 · 44780447 · 8897108428688707112966062731017_<31>

7·10⁴⁹-3 =

69999999999999999999999999999999999999999999999997_<50>

= 587 · 59743 · 49903933 · 365217315839767_<15> · 109518321015514911947_<21>

7·10⁵⁰-3 =

699999999999999999999999999999999999999999999999997_<51>

= 17 · 127 · 2861 · 225001433353161397463_<21> · 503665559698023352387481_<24>

7·10⁵¹-3 =

6999999999999999999999999999999999999999999999999997_<52>

= definitely prime number

7·10⁵²-3 =

69999999999999999999999999999999999999999999999999997_<53>

= 41 · 151 · 13477 · 35332871828422297373_<20> · 23744611577893285068279427_<26>

7·10⁵³-3 =

699999999999999999999999999999999999999999999999999997_<54>

= 73 · 181 · 332790733035152738284291_<24> · 159193518156073151098346059_<27>

7·10⁵⁴-3 =

6999999999999999999999999999999999999999999999999999997_<55>

= 1950621617817709_<16> · 3588599621812542330626333781353696148433_<40>

7·10⁵⁵-3 =

69999999999999999999999999999999999999999999999999999997_<56>

= 83 · 271110043 · 3110816127073181182217699420678432112812244413_<46>

7·10⁵⁶-3 =

699999999999999999999999999999999999999999999999999999997_<57>

= 45943 · 231495795892073_<15> · 65816620871158019962531533677311998323_<38>

7·10⁵⁷-3 =

6999999999999999999999999999999999999999999999999999999997_<58>

= 41 · 139 · 37619221171538057_<17> · 32650480948311116884733480250070255879_<38>

7·10⁵⁸-3 =

69999999999999999999999999999999999999999999999999999999997_<59>

= 1013 · 2897 · 31231 · 763755250964632398904297204110555144123578081767_<48>

7·10⁵⁹-3 =

699999999999999999999999999999999999999999999999999999999997_<60>

= 521 · 761177 · 17075923 · 103369037373932582894237384672350822244887567_<45>

7·10⁶⁰-3 =

6999999999999999999999999999999999999999999999999999999999997_<61>

= 3691 · 6054430033763_<13> · 313242535071973781823190422514061927715329309_<45>

7·10⁶¹-3 =

69999999999999999999999999999999999999999999999999999999999997_<62>

= 73 · 1879949 · 3547640561_<10> · 143777027479134080109940464527991045872383801_<45>

7·10⁶²-3 =

699999999999999999999999999999999999999999999999999999999999997_<63>

= 41 · 4019942952376054552540060531_<28> · 4247117666586769298878711597015607_<34>

7·10⁶³-3 =

6999999999999999999999999999999999999999999999999999999999999997_<64>

= 29 · 1229 · 1531 · 4243 · 8663 · 364853 · 1146916925641_<13> · 8340301275681186462254894329951_<31>

7·10⁶⁴-3 =

69999999999999999999999999999999999999999999999999999999999999997_<65>

= 16061 · 72283091 · 319837963493_<12> · 188520564119369463003503538518531267796479_<42>

7·10⁶⁵-3 =

699999999999999999999999999999999999999999999999999999999999999997_<66>

= 19 · 23 · 6143 · 27763 · 45827 · 69709 · 2940081803969408664189374602957531838204931563_<46>

7·10⁶⁶-3 =

6999999999999999999999999999999999999999999999999999999999999999997_<67>

= 17 · 18055039931129_<14> · 22806081152577372093090172143540383369121783532143829_<53>

7·10⁶⁷-3 =

69999999999999999999999999999999999999999999999999999999999999999997_<68>

= 41 · 67 · 40428293 · 249839150734793_<15> · 2522861917183973266936883614100847978444899_<43>

7·10⁶⁸-3 =

699999999999999999999999999999999999999999999999999999999999999999997_<69>

= 43 · 410750429 · 39632508253428654276868154092098201705019074439164535703651_<59>

7·10⁶⁹-3 =

6999999999999999999999999999999999999999999999999999999999999999999997_<70>

= 73 · 3183250920815377_<16> · 276133889596110981949_<21> · 109089913186022202558812181565993_<33>

7·10⁷⁰-3 =

69999999999999999999999999999999999999999999999999999999999999999999997_<71>

= 268973 · 175805720345501559421457_<24> · 1480322537171067288495536767840741474882177_<43>

7·10⁷¹-3 =

699999999999999999999999999999999999999999999999999999999999999999999997_<72>

= 37344526507_<11> · 18744380113342428888651272570812782751558264388198686875374071_<62>

7·10⁷²-3 =

6999999999999999999999999999999999999999999999999999999999999999999999997_<73>

= 41 · 47 · 2017 · 104893910111351861_<18> · 17169599003384228570152202859536607387691535475503_<50>

7·10⁷³-3 =

69999999999999999999999999999999999999999999999999999999999999999999999997_<74>

= 9267622087_<10> · 1509007874479068507487_<22> · 5005393416169114281651185841858869985295813_<43>

7·10⁷⁴-3 =

699999999999999999999999999999999999999999999999999999999999999999999999997_<75>

= 10064445648113_<14> · 69551769116190138929534662662720217327076832105123840793195469_<62>

7·10⁷⁵-3 =

6999999999999999999999999999999999999999999999999999999999999999999999999997_<76>

= 40459 · 1228949 · 16518475470293_<14> · 8522736714169264296983866206998299667175827899314319_<52>

7·10⁷⁶-3 =

69999999999999999999999999999999999999999999999999999999999999999999999999997_<77>

= 49958197 · 1401171463413701659409365794366037669453923647404649130952424083679401_<70>

7·10⁷⁷-3 =

699999999999999999999999999999999999999999999999999999999999999999999999999997_<78>

= 41 · 73 · 149 · 433 · 35841017 · 599153339437_<12> · 168810264272347403500868761280637683820613269376853_<51>

7·10⁷⁸-3 =

6999999999999999999999999999999999999999999999999999999999999999999999999999997_<79>

= 4783 · 71399 · 15374179 · 205520369 · 145753045823893_<15> · 44508308202100358050147009243984541138587_<41>

7·10⁷⁹-3 =

69999999999999999999999999999999999999999999999999999999999999999999999999999997_<80>

= 61 · 184848899 · 263011663 · 49675681901924267202278437_<26> · 475151923966749862231243253056527233_<36>

7·10⁸⁰-3 =

699999999999999999999999999999999999999999999999999999999999999999999999999999997_<81>

= 173 · 63857 · 3592261 · 8915630027_<10> · 9608460870337039_<16> · 205906320515478622003863126730227402534569_<42>

7·10⁸¹-3 =

6999999999999999999999999999999999999999999999999999999999999999999999999999999997_<82>

= 4999 · 59926901563_<11> · 34964781561383_<14> · 668285841603905432350506388470864368898996272226468407_<54>

7·10⁸²-3 =

69999999999999999999999999999999999999999999999999999999999999999999999999999999997_<83>

= 17 · 41 · 5081 · 143263 · 64180688687_<11> · 2149698991853611514836838652349443839665335408146094936377341_<61>

7·10⁸³-3 =

699999999999999999999999999999999999999999999999999999999999999999999999999999999997_<84>

= 19 · 3833 · 35279 · 56383 · 58073 · 778153 · 367988631533_<12> · 114569167950042587_<18> · 2536294935522043093996723374377_<31>

7·10⁸⁴-3 =

6999999999999999999999999999999999999999999999999999999999999999999999999999999999997_<85>

= 89 · 1213 · 1549657 · 2183225360817558015355766696515933247_<37> · 19165187946232640510767119110199013999_<38> (Makoto Kamada / msieve 0.83)

7·10⁸⁵-3 =

69999999999999999999999999999999999999999999999999999999999999999999999999999999999997_<86>

= 73 · 150617564707_<12> · 6366482630723850214232975228847786319567025811658138723232072481074087527_<73>

7·10⁸⁶-3 =

699999999999999999999999999999999999999999999999999999999999999999999999999999999999997_<87>

= 1193 · 586756077116512992455993294216261525565800502933780385582564962279966471081307627829_<84>

7·10⁸⁷-3 =

6999999999999999999999999999999999999999999999999999999999999999999999999999999999999997_<88>

= 23 · 41 · 10231097 · 520230712207_<12> · 3800955960577_<13> · 366923324573595727742347889129060181184170413005855013_<54>

7·10⁸⁸-3 =

69999999999999999999999999999999999999999999999999999999999999999999999999999999999999997_<89>

= 131 · 18959 · 238853 · 6889442867_<10> · 5090721828293_<13> · 46050889948054898968120421_<26> · 73059907891553201809095933031_<29>

7·10⁸⁹-3 =

699999999999999999999999999999999999999999999999999999999999999999999999999999999999999997_<90>

= 43 · 16279069767441860465116279069767441860465116279069767441860465116279069767441860465116279_<89>

7·10⁹⁰-3 =

6999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997_<91>

= 14215376641_<11> · 14024128065801970883933_<23> · 35112665568116599653081057307570990587976697907415467938849_<59>

7·10⁹¹-3 =

69999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997_<92>

= 29 · 5801 · 85843 · 2761253903_<10> · 701704596531139_<15> · 4471372996255926723825050381_<28> · 559487935528514859422863153963_<30>

7·10⁹²-3 =

699999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997_<93>

= 41 · 127 · 20681 · 34439 · 4275897209_<10> · 46063445902169_<14> · 316177512014113_<15> · 3030914865722457122795904497747972552067653_<43>

7·10⁹³-3 =

6999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997_<94>

= 73 · 49199 · 156307 · 31458780224023_<14> · 967500703220799564031748987117_<30> · 409682400795639824383995728074680022603_<39>

7·10⁹⁴-3 =

69999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997_<95>

= 53067904297_<11> · 569362892093670906312801683737_<30> · 2316738115953116862146499230067433214801910366621246973_<55> (Makoto Kamada / GGNFS-0.71.1 / 0.27 hours)

7·10⁹⁵-3 =

699999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997_<96>

= 233 · 10559738620716495489268199438963219381694613_<44> · 284504375856389912213706749348216675785104553012193_<51> (Makoto Kamada / GGNFS-0.71.1 / 0.33 hours)

7·10⁹⁶-3 =

6999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997_<97>

= 83 · 1319 · 2063 · 751867 · 41222554454953269664553261606393738112567318696336874667017874206456176961002252341_<83>

7·10⁹⁷-3 =

69999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997_<98>

= 41 · 70053553 · 24371598585024398510052347676522664269051003475973832093437597766341318487182332023518789_<89>

7·10⁹⁸-3 =

699999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997_<99>

= 17 · 3271 · 372707 · 274779293 · 17363418997_<11> · 18656404363_<11> · 379449366143216305891546539384640822508803378389527259093611_<60>

7·10⁹⁹-3 =

6999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997_<100>

= 316501 · 69520869420173415204758174428187500581792823_<44> · 318132295216405205934675541188647621086156745627839_<51> (Makoto Kamada / GGNFS-0.71.1 / 0.43 hours)

7·10¹⁰⁰-3 =

69999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997_<101>

= 67 · 1093 · 1154380808120080756009227761_<28> · 10203943881176290266293356404453361_<35> · 81149512659446215772923053697088147_<35> (Makoto Kamada / GGNFS-0.71.1)

7·10¹⁰¹-3 =

6(9)₁₀₀7_<102>

= 19 · 73 · 75193 · 1371731 · 68679023513563_<14> · 71244460390633318375078114881437129297242402377239958620472777850330627439_<74>

7·10¹⁰²-3 =

6(9)₁₀₁7_<103>

= 41 · 762542808435428703690881_<24> · 223897865704585614961048377289756337212585384612139532511183153050099885519157_<78>

7·10¹⁰³-3 =

6(9)₁₀₂7_<104>

= 139 · 163 · 642523940381_<12> · 10066205959752302953_<20> · 227501093618404212533_<21> · 2099698899205351928256625901543237709409015979509_<49>

7·10¹⁰⁴-3 =

6(9)₁₀₃7_<105>

= 59 · 227 · 1181 · 7669 · 30707 · 91513 · 30839792993281523_<17> · 5158915194628811308337404270661_<31> · 12907481494848250485826639485216420457_<38> (Makoto Kamada / Msieve 1.25 for P31 x P38 / 1.6 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / Jul 21, 2007)

7·10¹⁰⁵-3 =

6(9)₁₀₄7_<106>

= 16751166114271_<14> · 3362329295960017_<16> · 124283292502160624972430812747002437455221651091094362652090807619237174270771_<78>

7·10¹⁰⁶-3 =

6(9)₁₀₅7_<107>

= 2376525156911_<13> · 11538868667468585886113122047289_<32> · 2552656594942148000248359822941564882107186678502009741447584043_<64> (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=1601383238 for P32 / Jul 14, 2007)

7·10¹⁰⁷-3 =

6(9)₁₀₆7_<108>

= 41 · 68881 · 84319691 · 2939583042839641562081867454570800621829252974172830223992337623835274830810023979207377936527_<94>

7·10¹⁰⁸-3 =

6(9)₁₀₇7_<109>

= 47507 · 147346706801102995348053970993748289725724630054518281516408108278779969267686867198518113120171764161071_<105>

7·10¹⁰⁹-3 =

6(9)₁₀₈7_<110>

= 23 · 73 · 8689 · 228859484167433722234911564635934681814193_<42> · 20965664506503249718202161151414441563687134934979206768443859_<62> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 0.61 hours on Core 2 Quad Q6600 / Jul 22, 2007)

7·10¹¹⁰-3 =

6(9)₁₀₉7_<111>

= 43 · 1873 · 142469 · 165288811 · 4333284643_<10> · 6502688707_<10> · 13098386269437031106604877534553204620531844179085265519971512448455928297_<74>

7·10¹¹¹-3 =

6(9)₁₁₀7_<112>

= 521 · 9974803213_<10> · 3490206865009589_<16> · 385926687475262344441857485349133100089046333653950058995610345029152671032449465701_<84>

7·10¹¹²-3 =

6(9)₁₁₁7_<113>

= 41 · 1707317073170731707317073170731707317073170731707317073170731707317073170731707317073170731707317073170731707317_<112>

7·10¹¹³-3 =

6(9)₁₁₂7_<114>

= 6089 · 44927 · 103168519459_<12> · 41459368074281333711_<20> · 598239066295616476893162573432748411378467040949192858128420027704189251351_<75>

7·10¹¹⁴-3 =

6(9)₁₁₃7_<115>

= 17 · 94651 · 79863677 · 47138419262927_<14> · 1155578878986719768961544726557507588224675340870529750884331320401542603879680909390029_<88>

7·10¹¹⁵-3 =

6(9)₁₁₄7_<116>

= 1945303 · 35984111472608637317682643783513416675962562130423897973734682977407632641290328550359506976548126435830305099_<110>

7·10¹¹⁶-3 =

6(9)₁₁₅7_<117>

= 257 · 271861 · 9968346863_<10> · 5492745356335264771_<19> · 38690791643388328103740921502952607_<35> · 4729310014865205650831153297596976512403898451_<46> (Jo Yeong Uk / Msieve v. 1.25 for P35 x P46 / 00:12:05 on Core 2 Quad Q6600 / Jul 22, 2007)

7·10¹¹⁷-3 =

6(9)₁₁₆7_<118>

= 41 · 73 · 1970115948257_<13> · 43606045392073_<14> · 27224056284112453903923041741928392123882423643421176731556990708271234684564461227758789_<89>

7·10¹¹⁸-3 =

6(9)₁₁₇7_<119>

= 47 · 45817 · 72937 · 200515813 · 7173315979_<10> · 3261153288959138743_<19> · 203756251240953604393_<21> · 466310175940868673297499168512350741919685704497003_<51>

7·10¹¹⁹-3 =

6(9)₁₁₈7_<120>

= 19 · 29 · 113 · 121866583 · 92253608692503151089071894583987930512282438861405961153383309271090824178937491543400584981242582791399693_<107>

7·10¹²⁰-3 =

6(9)₁₁₉7_<121>

= 7584150319_<10> · 55564188579517_<14> · 16611013501163017688490554069217651394007913477460708536454226144798090533109385115737389605873039_<98>

7·10¹²¹-3 =

6(9)₁₂₀7_<122>

= 47653 · 1369371443767_<13> · 36358147136114613307985190682380569_<35> · 29504263852952324258374435890140498246794971645497980237929073951677863_<71> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 1.34 hours on Core 2 Quad Q6600 / Jul 22, 2007)

7·10¹²²-3 =

6(9)₁₂₁7_<123>

= 41 · 957934333651_<12> · 146538937832239847_<18> · 121625714552917132489827834612649621764598457759632945716179963605515061469271373965154329361_<93>

7·10¹²³-3 =

6(9)₁₂₂7_<124>

= 173 · 61027 · 713562389 · 135311009685237351278540689388809518241159030458513113_<54> · 6866964940815089427027581044049877493885455562590216551_<55> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 1.38 hours on Core 2 Quad Q6600 / Jul 22, 2007)

7·10¹²⁴-3 =

6(9)₁₂₃7_<125>

= 12435393851_<11> · 1653859776119932304506498458736364717902994881823_<49> · 3403610153505365266823631691628573931926592430091798145981178781689_<67> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 1.76 hours on Core 2 Quad Q6600 / Jul 22, 2007)

7·10¹²⁵-3 =

6(9)₁₂₄7_<126>

= 73 · 21227 · 114827 · 653901299 · 9325811484738142607573_<22> · 645124758011811292663606940006446111587998358404084331702679742071206001822933781683_<84>

7·10¹²⁶-3 =

6(9)₁₂₅7_<127>

= 3733064887567996534792974929164593204373697227583_<49> · 1875134831787061276782822033581045574929236611892954682370632550609251043832259_<79> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 2.18 hours on Core 2 Quad Q6600 / Jul 22, 2007)

7·10¹²⁷-3 =

6(9)₁₂₆7_<128>

= 41² · 151 · 2347 · 39819539 · 55136742586585039706768971261_<29> · 996661217419669522960891631306797_<33> · 53697664591766885637251106829273235075760230423267_<50> (Jo Yeong Uk / Msieve v. 1.25 for P33 x P50 / 00:20:50 on Core 2 Quad Q6600 / Jul 22, 2007)

7·10¹²⁸-3 =

6(9)₁₂₇7_<129>

= 89 · 677 · 2702469269_<10> · 1151376564109_<13> · 41269911823520309_<17> · 1963897306975553200512676343_<28> · 46066890629393229261516810290309161016322334297076442332987_<59>

7·10¹²⁹-3 =

6(9)₁₂₈7_<130>

= 39791 · 55451581 · 3172482633155234864021274086911288667287879330809973988505569171378667125710452874764527816918702328727394621853373007_<118>

7·10¹³⁰-3 =

6(9)₁₂₉7_<131>

= 17 · 6967 · 22159 · 12377339630211913014729356379781933602404602590397460483_<56> · 2154893656072748577302512740902433579438090282103291765000036292359_<67> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 1.95 hours on Core 2 Quad Q6600 / Jul 22, 2007)

7·10¹³¹-3 =

6(9)₁₃₀7_<132>

= 23 · 43 · 200357 · 686073298051849_<15> · 3492650375317905457798484924118526607821958419517_<49> · 1474251565366503210694631337567966010127470661351122913594633_<61> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 3.06 hours on Core 2 Quad Q6600 / Jul 22, 2007)

7·10¹³²-3 =

6(9)₁₃₁7_<133>

= 41 · 761 · 823 · 8863 · 6082088060418354263973053_<25> · 27212650857151474320206035877612519_<35> · 185834091366309855618215438086593893231210033409435324983518879_<63> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 5.60 hours on AMD Athlon(tm) XP 2400+ stepping 01 / Jul 22, 2007)

7·10¹³³-3 =

6(9)₁₃₂7_<134>

= 67 · 73 · 49575859867580844937_<20> · 5110246217906895142589357_<25> · 56492175048162159719487517145163130895209614708013345538713487979343064026699370518763_<86>

7·10¹³⁴-3 =

6(9)₁₃₃7_<135>

= 127 · 186103 · 284041 · 67139650373_<11> · 224080515702813399469184201_<27> · 1657367916841120248990423676418651639587_<40> · 4181747575834472305239024549045571460403317707_<46> (Jo Yeong Uk / Msieve v. 1.25 for P40 x P46 / 00:22:28 on Core 2 Quad Q6600 / Jul 22, 2007)

7·10¹³⁵-3 =

6(9)₁₃₄7_<136>

= 59621 · 59893189 · 387559111 · 5058053228711327873641724431313217240436024160314841113254212885738391279506752391089731217823169355710539445501683_<115>

7·10¹³⁶-3 =

6(9)₁₃₅7_<137>

= 1911173014322791_<16> · 6688529150867410750543674810071273572433_<40> · 5476050080158143153708958738926903788962439257212131688978965251785087525399823499_<82> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 4.99 hours on Core 2 Quad Q6600 / Jul 22, 2007)

7·10¹³⁷-3 =

6(9)₁₃₆7_<138>

= 19 · 41 · 83 · 14431 · 32687 · 220474522090692269_<18> · 3088175041540998887_<19> · 53204897233454695830562193693392037137397_<41> · 633576518273911287795959707919898837003414686923_<48> (Kenichiro Yamaguchi / Msieve v. 1.25 for P41 x P48 / 01:54:43 on Pentium M 760 (2GHz), Windows XP / Jul 22, 2007)

7·10¹³⁸-3 =

6(9)₁₃₇7_<139>

= definitely prime number

7·10¹³⁹-3 =

6(9)₁₃₈7_<140>

= 61 · 54287 · 1685963 · 2144057522904982639061_<22> · 5847737783593161371794272142297451702374364410726154145530711658809328796128452366232795337254472213279097_<106>

7·10¹⁴⁰-3 =

6(9)₁₃₉7_<141>

= 991 · 1057391 · 345418457 · 11250180495689321348084945885182355115543862335246134474303_<59> · 171903114767847828998563831031206474014001920428664101581017239147_<66> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 8.58 hours on AMD Athlon(tm) XP 2400+ stepping 01 / Jul 23, 2007)

7·10¹⁴¹-3 =

6(9)₁₄₀7_<142>

= 73 · 97 · 569773 · 17000363320325641_<17> · 102057136155821494393264209198120079139408184484309203076720028873200726176384309781986331596047453929401641064578209_<117>

7·10¹⁴²-3 =

6(9)₁₄₁7_<143>

= 41 · 684820152391010899426909_<24> · 293996872467290101398339992619243102794207_<42> · 8479982205197969383707708914235563099398323494880780373423205897700123689959_<76> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 7.68 hours on Core 2 Quad Q6600 / Jul 23, 2007)

7·10¹⁴³-3 =

6(9)₁₄₂7_<144>

= 1390760561015147597115111631999_<31> · 176985412377038489455150177398295039807447995083_<48> · 2843859925569024851779496154354305448575151654276681477679351507241_<67> (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=2369682267 for P31 / Jul 16, 2007) (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 10.45 hours on Core 2 Quad Q6600 / Jul 23, 2007)

7·10¹⁴⁴-3 =

6(9)₁₄₃7_<145>

= 293 · 459361558229520911_<18> · 4158372341169850597634039_<25> · 12506978341974524355506903470968282858758688752543638783604340786179450801571016162030630669014544001_<101>

7·10¹⁴⁵-3 =

6(9)₁₄₄7_<146>

= 135899 · 2882653 · 4137260381_<10> · 769330598837417_<15> · 213310674409584473_<18> · 38419676520928330018576887493317188578379_<41> · 6850105473822077822398812945194215058951502092829389_<52> (Sinkiti Sibata / Msieve v. 1.23 for P41 x P52 / 17:55:41 on Celeron 750MHz, Windows 2000 / Jul 23, 2007)

7·10¹⁴⁶-3 =

6(9)₁₄₅7_<147>

= 17 · 2772341545407390176277168504286752739988576758255116308281_<58> · 14852596591660026569344293574475374603014785217941966344202020052222211474146804385683861_<89> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 12.83 hours on Cygwin on AMD 64 3400+ / Jul 23, 2007)

7·10¹⁴⁷-3 =

6(9)₁₄₆7_<148>

= 29 · 41 · 11719 · 49927 · 1107031 · 1729033 · 5256868282161588249354936506256557665929366672297170262905536849321942904199979956943289764863536943097167369245088256074727_<124>

7·10¹⁴⁸-3 =

6(9)₁₄₇7_<149>

= 311 · 7912579919_<10> · 301037510767131424181611457969_<30> · 5434594245435338312688573491110293470744533_<43> · 17387286194393844709918894508724977643672044365413394191742373729_<65> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 12.60 hours on Core 2 Quad Q6600 / Jul 23, 2007)

7·10¹⁴⁹-3 =

6(9)₁₄₈7_<150>

= 73 · 139 · 79426057057573470993450111694681586724818267_<44> · 10135149856645968832942226206178100278444840800939_<50> · 85697312347290420035372811292253154086540948455681127_<53> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 28.79 hours on AMD Athlon(tm) XP 2400+ stepping 01 / Jul 24, 2007)

7·10¹⁵⁰-3 =

6(9)₁₄₉7_<151>

= 23537 · 117047527 · 8764729519896434388185150658193376696083145995054647761_<55> · 289898636097657769901727571746993680083346617528438604091309287391756698440245150523_<84> (Sinkiti Sibata / GGNFS-0.77.1-20060722-pentium4 / 26.99 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Jul 28, 2007)

7·10¹⁵¹-3 =

6(9)₁₅₀7_<152>

= 2423 · 113437 · 1974319 · 366051779 · 1988244101_<10> · 4983380413033695949_<19> · 523671508060551731383_<21> · 67916822259268674139672549285633806999882217903348381664369199967359295145093141_<80>

7·10¹⁵²-3 =

6(9)₁₅₁7_<153>

= 41 · 43 · 28020241 · 14170130875488483629645666458572417529645641484728901686585278779216458914025984030890887899674540116235988014895451210726703857626305741469359_<143>

7·10¹⁵³-3 =

6(9)₁₅₂7_<154>

= 23² · 10303 · 4132288063902465163_<19> · 73545936976938384659_<20> · 368950902030040136294932320283019_<33> · 11454095970935197036364142614850850481119263863106296451412205403591388218697_<77> (Jo Yeong Uk / GMP-ECM 6.1.2 B1=1000000, sigma=2779761892 for P33 / Jul 23, 2007)

7·10¹⁵⁴-3 =

6(9)₁₅₃7_<155>

= 170500391 · 5874692119_<10> · 37945772041674357967_<20> · 1841722341009725224902266300239153123276700770217411417460877461917358156582270030107021373351933974361848659624929779_<118>

7·10¹⁵⁵-3 =

6(9)₁₅₄7_<156>

= 19 · 661 · 863 · 15524921 · 10034681220980419_<17> · 86052277375997863373093099_<26> · 98193488402561885576481803_<26> · 8130939598025915992280491549_<28> · 6034112629411735864758588925953439274740594603_<46>

7·10¹⁵⁶-3 =

6(9)₁₅₅7_<157>

= 109 · 709 · 375563 · 47570482973933517041_<20> · 159741449154198535717_<21> · 31738567891395608361450399516204832685084634228740203656630118113430157373625722120646005893261121956045467_<107>

7·10¹⁵⁷-3 =

6(9)₁₅₆7_<158>

= 41 · 73 · 919 · 226063769279_<12> · 43511672366186777_<17> · 153359639443560911863_<21> · 16870501497607098194443201184850703240697108431496756615650453885917247705196631632012386754552126164379_<104>

7·10¹⁵⁸-3 =

6(9)₁₅₇7_<159>

= 1303 · 2473 · 133346505599_<12> · 42315979991490290739022320497289947523549183832673097091435256957_<65> · 38498469586434182358752612193019411923606426698177641577645805015090636763441_<77> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 35.97 hours on Cygwin on AMD 64 3400+ / Jul 25, 2007)

7·10¹⁵⁹-3 =

6(9)₁₅₈7_<160>

= 11480647 · 2123843629199706450095966417930509967_<37> · 287084098820217654683647609855563415797505527535490938568019121616173404487170471297898238166611115453129796922918453_<117> (Robert Backstrom / GGNFS-0.77.1-20060513-athlon-xp / 52.22 hours on Cygwin on AMD 64 3200+ / Jul 25, 2007)

7·10¹⁶⁰-3 =

6(9)₁₅₉7_<161>

= 1023557 · 676040311822727_<15> · 225167822909311193771939915964703697_<36> · 26553121374225817669622704350957054548498613613_<47> · 16919655045991966846784423102442420227389002548091598746443_<59> (Jo Yeong Uk / GMP-ECM 6.1.2 B1=1000000, sigma=1655651950 for P36 / Jul 24, 2007) (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona gnfs for P47 x P59 / 8.63 hours on Core 2 Quad Q6600 / Jul 26, 2007)

7·10¹⁶¹-3 =

6(9)₁₆₀7_<162>

= 11759927 · 890858477521139_<15> · 5434034586523956104106766412088428719802308238404951_<52> · 12295955952110120403085408303775786006169912054674465432621806697568821168788407881446399_<89> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs, Msieve 1.26 / Oct 2, 2007)

7·10¹⁶²-3 =

6(9)₁₆₁7_<163>

= 17 · 41 · 59 · 269 · 125471 · 4332593611327_<13> · 1164044695092484665105050115271553273923537788625034732036886314462540349341531730302525663241917002510212682446417885174788888334755923643_<139>

7·10¹⁶³-3 =

6(9)₁₆₂7_<164>

= 521 · 8929 · 20049478817_<11> · 18834724717582733339854276484953_<32> · 39846954049113870438326350054437585548327057756753553930562437288636637623138186710621577302650844411531338277069533_<116> (Robert Backstrom / GGNFS-0.77.1-20060513-athlon-xp snfs / 69.78 hours on Cygwin on AMD 64 3200+ / Aug 16, 2007)

7·10¹⁶⁴-3 =

6(9)₁₆₃7_<165>

= 47 · 193 · 1621 · 2267 · 610889581248729734327409484516692590832461_<42> · 34375230566759292489277721179939552331809978623383280776559465068189748526644096155791768378027428880241905345241_<113> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 71.77 hours on Cygwin on AMD 64 3400+ / Aug 8, 2007)

7·10¹⁶⁵-3 =

6(9)₁₆₄7_<166>

= 73 · 14243 · 745201 · 23023009575953_<14> · 6459466023437342863_<19> · 60749340038221197567027576513711877827403768644270709667691468796178616522277621246798230025216723401018012444447707695657_<122>

7·10¹⁶⁶-3 =

6(9)₁₆₅7_<167>

= 67 · 173 · 153583387324042801184481984693585153371533_<42> · 2067097285247959280399851585395695989586036741113_<49> · 19022691978446235710973810593733140748567297663247313327626391472876229823_<74> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 97.45 hours on Cygwin on AMD 64 3200+ / Aug 1, 2007)

7·10¹⁶⁷-3 =

6(9)₁₆₆7_<168>

= 41 · 35734094801_<11> · 477783775601041202184578368139676363163172415211424309438388033932577569402555444088908385416391248458067162924542992604153783633202695075403674046107735717_<156>

7·10¹⁶⁸-3 =

6(9)₁₆₇7_<169>

= 71630501 · 10175069063_<11> · 14460468205181_<14> · 117286754295728424397037543_<27> · 5662801815266456380085671176457580014487214064636386068007187963982326790874272294598048969877769224156506865693_<112>

7·10¹⁶⁹-3 =

6(9)₁₆₈7_<170>

= 22741 · 349307507062883_<15> · 116106895929109073299_<21> · 75896639690350204219372714008470048868387970839745459067568730513056934189391886227579885227959515279563251851633292636114915569201_<131>

7·10¹⁷⁰-3 =

6(9)₁₆₉7_<171>

= 1429327603703_<13> · 28390070271134877038117841913_<29> · 10977412137489495157200178568512469140915422117788701_<53> · 1571447302297785507555396244163363334714959786940690062024588758974391266160223_<79> (matsui / Msieve 1.41 snfs / 43.50 hours / May 17, 2009)

7·10¹⁷¹-3 =

6(9)₁₇₀7_<172>

= 367 · 8773759 · 47099267 · 33654115905746275236497_<23> · 4401678529009692453561497_<25> · 311584337819708190192394396981312980161015050214380902655102811252589573402553502981016400385430642089451383_<108>

7·10¹⁷²-3 =

6(9)₁₇₁7_<173>

= 41 · 89 · 24763 · 1569239476963_<13> · 633026319599681810459_<21> · 6642012076990737526607383_<25> · 107544053816796399142307393_<27> · 1091751664800655779832582541845785171311291763851633689703622943809005592478797697_<82>

7·10¹⁷³-3 =

6(9)₁₇₂7_<174>

= 19 · 43 · 73 · 4787 · 2451826280808567614120175431532896466693111597916938199130164189313955434071377293483399158856160973771809025415620719034694136965678008232441061327366139242990299591_<166>

7·10¹⁷⁴-3 =

6(9)₁₇₃7_<175>

= 24436495439_<11> · 28492947169_<11> · 8219681345081_<13> · 61682357626151_<14> · 82924857227697113_<17> · 3471884568896140913253317_<25> · 68874076561470946106687026633811142189444081342327987528805294900716377035726277629217_<86>

7·10¹⁷⁵-3 =

6(9)₁₇₄7_<176>

= 23 · 29 · 1945849999_<10> · 2698778453724854253232121_<25> · 35295282339376795682867577001_<29> · 566211848432648253496266298077169810224298129799525026373713085611725821142446735214380281508918974507036807529_<111> (Serge Batalov / GMP-ECM 6.2.1 B1=1000000, sigma=3820573387 for P29 / Aug 6, 2008)

7·10¹⁷⁶-3 =

6(9)₁₇₅7_<177>

= 127 · 1427 · 1823167117_<10> · 3122832099875424913_<19> · 4959902390670157503819923_<25> · 96538958547137354194163712683_<29> · 226468883271578475618379567962241702278977_<42> · 6256204756417669062376992564657832577417523732181_<49> (Kenichiro Yamaguchi / Msieve v. 1.25 for P42 x P49 / 02:43:11 on Pentium M 760 (2GHz), Windows XP / Jul 22, 2007)

7·10¹⁷⁷-3 =

6(9)₁₇₆7_<178>

= 41 · 20118803742137_<14> · 8486175893226254656425353194105453902673923006354528604417587658423419376082640015883393246759158253449359884460309119754803628220146742046068278278295030528818141_<163>

7·10¹⁷⁸-3 =

6(9)₁₇₇7_<179>

= 17 · 83 · 1522457 · 1749179 · 7727113 · 33058042237903_<14> · 58644682468827499716567940696889_<32> · 1243565610221113123527108520724475443189489139795418640164381297804207986122086729793093304125021658462622933979_<112> (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=479112729 for P32 / Jul 18, 2007)

7·10¹⁷⁹-3 =

6(9)₁₇₈7_<180>

= 83251080449638728944649575376467201073537285846278352308844383882413696253_<74> · 8408299282355291944507594847871979982320198163187651997979672667927349257101780731688554079997824589461249_<106> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 259.62 hours on Core 2 Quad Q6600 / Aug 13, 2007)

7·10¹⁸⁰-3 =

6(9)₁₇₉7_<181>

= 594985119959_<12> · 21872591584729_<14> · [537887797221338239985186819277144119355025255717248543315379541782009667672745012748098259111507068964637467597105872519710335221559683111765232140208985027_<156>] SUBMIT/RESERVE

7·10¹⁸¹-3 =

6(9)₁₈₀7_<182>

= 73 · 2131 · 16561886107406089_<17> · 27169518157420660575454399778639335125492093745447422561328510379607026210007954011250001757184882427310430854330883370929574264844918439148385718713243638134271_<161>

7·10¹⁸²-3 =

6(9)₁₈₁7_<183>

= 41 · 1570061 · 5343463943_<10> · 177987862590760849194620803_<27> · [11433636644234778348660395731264960682015209624480966336651982693336850257224692954252432995438729638484355741967752366132936089783132145893_<140>] SUBMIT/RESERVE

7·10¹⁸³-3 =

6(9)₁₈₂7_<184>

= 236835922205111_<15> · 10048562185968045401281_<23> · 2941348882882880894359180139062331289092346150550750126518096734351302081543801266880553811949970462897476069920088882344761230649750877286489700267_<148>

7·10¹⁸⁴-3 =

6(9)₁₈₃7_<185>

= 163 · 383 · 1823 · 63261666496225721_<17> · [9722643564953313350773753866272360627529944148390541427653847146370597126135046280899786673925276605170823019823239434533651967533474739368075968479380869919671_<160>] SUBMIT/RESERVE

7·10¹⁸⁵-3 =

6(9)₁₈₄7_<186>

= 1069 · 1637 · 6036119 · 11027447 · 810267593 · 3468753641_<10> · 1171345933162459_<16> · 45356854513568779_<17> · 158678431065482510071_<21> · 253624355718450430830932263100417662109807298078142056385672335425777656409482078161620447288531_<96>

7·10¹⁸⁶-3 =

6(9)₁₈₅7_<187>

= 887 · 439823 · 1196059 · 1026017623085007713_<19> · 92337907616891958329226316547999_<32> · 158346705035860066410666443177431638272396001523007818205086265361406331827017357270653495045419576915774032335665253102209_<123> (Serge Batalov / GMP-ECM 6.2.1 B1=11000000, sigma=2080995158 for P32 / Feb 14, 2009)

7·10¹⁸⁷-3 =

6(9)₁₈₆7_<188>

= 41 · 1707317073170731707317073170731707317073170731707317073170731707317073170731707317073170731707317073170731707317073170731707317073170731707317073170731707317073170731707317073170731707317_<187>

7·10¹⁸⁸-3 =

6(9)₁₈₇7_<189>

= 7619015837_<10> · [91875383248399461228210070722812700198880030231915109221737138121662103588038518996452901059903650650463925528653550690867267191900443873562196403136312315293590063711006826195681_<179>] SUBMIT/RESERVE

7·10¹⁸⁹-3 =

6(9)₁₈₈7_<190>

= 73 · 6788524597_<10> · [14125368419712320825673675597703805285941072512121280071272444725825457754600577601605191560159724628660862890603972726696432475334655417701956526606131844719617738911920435133537_<179>] SUBMIT/RESERVE

7·10¹⁹⁰-3 =

6(9)₁₈₉7_<191>

= definitely prime number

7·10¹⁹¹-3 =

6(9)₁₉₀7_<192>

= 19 · 17489 · 7678102579107782621_<19> · 3075529554084878360947_<22> · 13899137371025356280273_<23> · 6418267289379705494471377214792657429144168444062088982549616898758887596875552733756902332219778964937845642748824792245817_<124>

7·10¹⁹²-3 =

6(9)₁₉₁7_<193>

= 41 · 983 · 1542529463_<10> · 2037988259_<10> · 2598578093_<10> · 5024193847067_<13> · [4231782707994587956134028190296576655567060539335886889722720908885008293628960341950823255755326329036235653962920699540873112927961497889965502537_<148>] SUBMIT/RESERVE

7·10¹⁹³-3 =

6(9)₁₉₂7_<194>

= 135391 · 308941571 · 784047751 · 6463670201813352033221_<22> · 32665964050477191352790761_<26> · 569756699704183297346120295651615869_<36> · 296810751027062020613622711817064044961881_<42> · 59778586616800168827028392336187139434362916103_<47> (Robert Backstrom / GMP-ECM 6.0.1 B1=1906000, sigma=2468668459 for P36, Msieve v. 1.33 for P42 x P47 / Jan 28, 2008)

7·10¹⁹⁴-3 =

6(9)₁₉₃7_<195>

= 17 · 43 · 89923 · 1001588031141917173388460599_<28> · 10632141541917806207600763606017011495707284001851504845655696662199158265775506858356682738981807434334530073043581832016164704447016859240226240894069610375931_<161>

7·10¹⁹⁵-3 =

6(9)₁₉₄7_<196>

= 139 · 3067 · 17876051 · 24527621194063819800299250874272523_<35> · 10810175462712766378399682400374658337_<38> · 3464253826178025203451630850730623859360665647158270629727669693950603939546671253113435093020109567689734805669_<112> (Serge Batalov / GMP-ECM 6.2.1 B1=11000000, sigma=2507872870 for P35 / Feb 14, 2009) (Serge Batalov / GMP-ECM 6.2.1 B1=11000000, sigma=705256189 for P38 / Feb 15, 2009)

7·10¹⁹⁶-3 =

6(9)₁₉₅7_<197>

= 18033767867_<11> · [3881607022794888679488401668023977121541596695989011312917993877823713033823759599134247855736802470398572753237713614848317377423631666845387591236426554586081608677058169654214059092391_<187>] SUBMIT/RESERVE

7·10¹⁹⁷-3 =

6(9)₁₉₆7_<198>

= 23 · 41 · 73 · 25667 · 98133907 · [4037097952062703265549276427233942757386489774329001553978425862975741353355424331531697110444689706045796958405717590278444664262899875096132251795431724258024168255492200560011667_<181>] SUBMIT/RESERVE

7·10¹⁹⁸-3 =

6(9)₁₉₇7_<199>

= 379 · 343307 · 348216691 · [154499325256182153115558407746555588390841362966061522626811306977985398007231093124335268324928999720942940078272944371325009226821200737210858116113306504228932477121047305307486039_<183>] SUBMIT/RESERVE

7·10¹⁹⁹-3 =

6(9)₁₉₈7_<200>

= 61 · 67 · 29950117907077_<14> · 751700843577682897_<18> · [760763781030545629973092616189924736339927185854909278993743662222638804836191809745738974932581365007363739900857593020807440212344868225534209281723649678678791999_<165>] SUBMIT/RESERVE

7·10²⁰⁰-3 =

6(9)₁₉₉7_<201>

= 24557726809849_<14> · 28504266922590794318935222732130361158315682254098080669233114992089701496431197775261883486359401536417705170814996678464681743824976076575125455903825324125815439183273418429100697622053_<188>

4. References

• A103049 (On-Line Encyclopedia of Integer Sequences)