Factorizations of 799...993

Table of contents

1. About 799...993
   • First ten terms
   • General term
2. Prime numbers of the form 799...993
   • Last update
   • Searched up to
   • Difficulty of search
   • Results
3. Factorizations of 799...993
   • Last update
   • Completed up to
   • Range
   • Terms which have not been factored yet
   • Results
4. References

1. About 799...993

First ten terms

73, 793, 7993, 79993, 799993, 7999993, 79999993, 799999993, 7999999993, 79999999993

General term

8·10ⁿ-7

2. Prime numbers of the form 799...993

Last update

Aug 9, 2009

Searched up to

n≤10000

Difficulty of search

22.88%

Results

1. 8·10¹-7 = 73 is prime.
2. 8·10³-7 = 7993 is prime.
3. 8·10⁵-7 = 799993 is prime.
4. 8·10⁶-7 = 7999993 is prime.
5. 8·10¹⁰-7 = 79999999993_<11> is prime.
6. 8·10¹²-7 = 7(9)₁₁3_<13> is prime.
7. 8·10¹³-7 = 7(9)₁₂3_<14> is prime.
8. 8·10³⁹-7 = 7(9)₃₈3_<40> is prime.
9. 8·10⁴⁸-7 = 7(9)₄₇3_<49> is prime.
10. 8·10⁵⁴-7 = 7(9)₅₃3_<55> is prime.
11. 8·10⁶⁴-7 = 7(9)₆₃3_<65> is prime.
12. 8·10⁸²-7 = 7(9)₈₁3_<83> is prime.
13. 8·10¹⁴⁷-7 = 7(9)₁₄₆3_<148> is prime. (searched by Makoto Kamada / Nov 24, 2004) (certified by Makoto Kamada / PFGW / Jan 5, 2005)
14. 8·10¹⁴⁸-7 = 7(9)₁₄₇3_<149> is prime. (searched by Makoto Kamada / Nov 24, 2004) (certified by Makoto Kamada / PFGW / Jan 5, 2005)
15. 8·10³⁶⁰-7 = 7(9)₃₅₉3_<361> is prime. (searched by Makoto Kamada / Nov 24, 2004) (certified by Makoto Kamada / PFGW / Jan 5, 2005)
16. 8·10³⁹⁹-7 = 7(9)₃₉₈3_<400> is prime. (searched by Makoto Kamada / Nov 24, 2004) (certified by Makoto Kamada / PFGW / Jan 5, 2005)
17. 8·10¹⁶³⁸-7 = 7(9)₁₆₃₇3_<1639> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Makoto Kamada / PFGW / Jan 5, 2005)
18. 8·10¹⁸⁷⁶-7 = 7(9)₁₈₇₅3_<1877> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Jul 13, 2006)
19. 8·10²¹⁴⁶-7 = 7(9)₂₁₄₅3_<2147> is PRP. (Makoto Kamada / PFGW / Dec 17, 2004)
20. 8·10²¹⁹⁴-7 = 7(9)₂₁₉₃3_<2195> is PRP. (Makoto Kamada / PFGW / Dec 17, 2004)

3. Factorizations of 799...993

Last update

Oct 21, 2009

Completed up to

• n≤100 / Nov 24, 2004
• n≤150 / Oct 15, 2007

Range

n≤200

Terms which have not been factored yet

n=173, 176, 178, 180, 185, 187, 190, 192, 193, 197, 198, 199, 200 (13/200)

Results

8·10¹-7 =

73

= definitely prime number

8·10²-7 =

793

= 13 · 61

8·10³-7 =

7993

= definitely prime number

8·10⁴-7 =

79993

= 167 · 479

8·10⁵-7 =

799993

= definitely prime number

8·10⁶-7 =

7999993

= definitely prime number

8·10⁷-7 =

79999993

= 4229 · 18917

8·10⁸-7 =

799999993

= 13 · 43 · 1431127

8·10⁹-7 =

7999999993_<10>

= 73 · 109589041

8·10¹⁰-7 =

79999999993_<11>

= definitely prime number

8·10¹¹-7 =

799999999993_<12>

= 17 · 47058823529_<11>

8·10¹²-7 =

7999999999993_<13>

= definitely prime number

8·10¹³-7 =

79999999999993_<14>

= definitely prime number

8·10¹⁴-7 =

799999999999993_<15>

= 13 · 31 · 331 · 5997316201_<10>

8·10¹⁵-7 =

7999999999999993_<16>

= 19 · 29 · 91733 · 158275171

8·10¹⁶-7 =

79999999999999993_<17>

= 401 · 199501246882793_<15>

8·10¹⁷-7 =

799999999999999993_<18>

= 73 · 683 · 1712017 · 9372131

8·10¹⁸-7 =

7999999999999999993_<19>

= 571 · 14010507880910683_<17>

8·10¹⁹-7 =

79999999999999999993_<20>

= 23 · 281 · 45853 · 102499 · 2633713

8·10²⁰-7 =

799999999999999999993_<21>

= 13 · 659 · 240473 · 266047 · 1459609

8·10²¹-7 =

7999999999999999999993_<22>

= 1201 · 13721047 · 485467015519_<12>

8·10²²-7 =

79999999999999999999993_<23>

= 193 · 199 · 727 · 1280651 · 2237249387_<10>

8·10²³-7 =

799999999999999999999993_<24>

= 1067471 · 749434879261356983_<18>

8·10²⁴-7 =

7999999999999999999999993_<25>

= 461 · 69151 · 250951962743922563_<18>

8·10²⁵-7 =

79999999999999999999999993_<26>

= 73 · 109 · 37044814453_<11> · 271402100833_<12>

8·10²⁶-7 =

799999999999999999999999993_<27>

= 13² · 67 · 1279 · 1319 · 41880623597918291_<17>

8·10²⁷-7 =

7999999999999999999999999993_<28>

= 17 · 59 · 9767 · 51521 · 7123037 · 2225247809_<10>

8·10²⁸-7 =

79999999999999999999999999993_<29>

= 113 · 1951 · 466537 · 93914713 · 8281987031_<10>

8·10²⁹-7 =

799999999999999999999999999993_<30>

= 31 · 43 · 433 · 1386027800252603566596037_<25>

8·10³⁰-7 =

7999999999999999999999999999993_<31>

= 439 · 72623 · 250929245888296901491169_<24>

8·10³¹-7 =

79999999999999999999999999999993_<32>

= 3990541 · 20047407105953804258620573_<26>

8·10³²-7 =

799999999999999999999999999999993_<33>

= 13 · 61538461538461538461538461538461_<32>

8·10³³-7 =

7999999999999999999999999999999993_<34>

= 19 · 73 · 5472443 · 181780181917_<12> · 5798100588869_<13>

8·10³⁴-7 =

79999999999999999999999999999999993_<35>

= 607 · 11069029 · 125520101423_<12> · 94858988451797_<14>

8·10³⁵-7 =

799999999999999999999999999999999993_<36>

= 1013 · 1091 · 723862021040859296605177604071_<30>

8·10³⁶-7 =

7999999999999999999999999999999999993_<37>

= 4211 · 6899 · 16699 · 16490284025487177842414563_<26>

8·10³⁷-7 =

79999999999999999999999999999999999993_<38>

= 2683 · 216742187 · 137570673388192444401441233_<27>

8·10³⁸-7 =

799999999999999999999999999999999999993_<39>

= 13 · 2240341 · 11284788643_<11> · 2434103710432182391747_<22>

8·10³⁹-7 =

7999999999999999999999999999999999999993_<40>

= definitely prime number

8·10⁴⁰-7 =

79999999999999999999999999999999999999993_<41>

= 47 · 1702127659574468085106382978723404255319_<40>

8·10⁴¹-7 =

799999999999999999999999999999999999999993_<42>

= 23 · 73 · 173 · 463 · 10702277 · 32765867 · 172197997 · 98511345271_<11>

8·10⁴²-7 =

7999999999999999999999999999999999999999993_<43>

= 157 · 13931 · 6214859498033_<13> · 588541006388802894083863_<24>

8·10⁴³-7 =

79999999999999999999999999999999999999999993_<44>

= 17 · 29 · 311 · 521774293484995727972972091597477221291_<39>

8·10⁴⁴-7 =

799999999999999999999999999999999999999999993_<45>

= 13 · 31 · 12377 · 160387142484529156477906370396863950203_<39>

8·10⁴⁵-7 =

7999999999999999999999999999999999999999999993_<46>

= 107 · 396246863996334137_<18> · 188686301226799397504189827_<27>

8·10⁴⁶-7 =

79999999999999999999999999999999999999999999993_<47>

= 240421 · 882900883 · 376882208889176173418931635607751_<33>

8·10⁴⁷-7 =

799999999999999999999999999999999999999999999993_<48>

= 281 · 434947 · 5744597 · 1139430289963166929678788533847967_<34>

8·10⁴⁸-7 =

7999999999999999999999999999999999999999999999993_<49>

= definitely prime number

8·10⁴⁹-7 =

79999999999999999999999999999999999999999999999993_<50>

= 73 · 131 · 8365575656174840531214054167102373732092439611_<46>

8·10⁵⁰-7 =

799999999999999999999999999999999999999999999999993_<51>

= 13 · 43 · 677 · 7416091 · 25182743 · 2953947410357_<13> · 3831851478632115611_<19>

8·10⁵¹-7 =

7999999999999999999999999999999999999999999999999993_<52>

= 19 · 268050847 · 1570793885903846326667464817146977224142301_<43>

8·10⁵²-7 =

79999999999999999999999999999999999999999999999999993_<53>

= 10784530619_<11> · 1103969334467113_<16> · 6719419095738216103745842019_<28>

8·10⁵³-7 =

799999999999999999999999999999999999999999999999999993_<54>

= 6719 · 11799769 · 10090480339380853553288179353477799612085663_<44>

8·10⁵⁴-7 =

7999999999999999999999999999999999999999999999999999993_<55>

= definitely prime number

8·10⁵⁵-7 =

79999999999999999999999999999999999999999999999999999993_<56>

= 163 · 8025793547_<10> · 226664793445193_<15> · 269792784110283389833940309041_<30>

8·10⁵⁶-7 =

799999999999999999999999999999999999999999999999999999993_<57>

= 13 · 54083 · 1137852218598478976046788483228769455495043942430367_<52>

8·10⁵⁷-7 =

7999999999999999999999999999999999999999999999999999999993_<58>

= 73 · 421 · 153692684303_<12> · 1693681856733133107200818780705497163458707_<43>

8·10⁵⁸-7 =

79999999999999999999999999999999999999999999999999999999993_<59>

= 2719 · 115855699 · 26499097813_<11> · 556693277306323799_<18> · 17215368075136456319_<20>

8·10⁵⁹-7 =

799999999999999999999999999999999999999999999999999999999993_<60>

= 17 · 31 · 67 · 3017627 · 440306441 · 17052339620477835190697537557253299440911_<41>

8·10⁶⁰-7 =

7999999999999999999999999999999999999999999999999999999999993_<61>

= 367 · 5477 · 12967 · 8711758547_<10> · 35231881847049502255556783723045783778223_<41>

8·10⁶¹-7 =

79999999999999999999999999999999999999999999999999999999999993_<62>

= 12763 · 15149 · 3290121487_<10> · 125759649326656444012778074687615211576780297_<45>

8·10⁶²-7 =

799999999999999999999999999999999999999999999999999999999999993_<63>

= 13 · 61 · 3461 · 310507 · 4757732627_<10> · 103341249273727019_<18> · 1909281944904229964620151_<25>

8·10⁶³-7 =

7999999999999999999999999999999999999999999999999999999999999993_<64>

= 23 · 487 · 41380959714996018508411_<23> · 17259675691146848907003082952758233563_<38>

8·10⁶⁴-7 =

79999999999999999999999999999999999999999999999999999999999999993_<65>

= definitely prime number

8·10⁶⁵-7 =

799999999999999999999999999999999999999999999999999999999999999993_<66>

= 73 · 76908277 · 486414264311203467404917_<24> · 292946114912263217411085333587449_<33>

8·10⁶⁶-7 =

7999999999999999999999999999999999999999999999999999999999999999993_<67>

= 28901 · 17440015625555620043377_<23> · 15871948560239093897429545854448753114709_<41>

8·10⁶⁷-7 =

79999999999999999999999999999999999999999999999999999999999999999993_<68>

= 10285217 · 36062348293_<11> · 924862392151_<12> · 233209052512047753857947529614473924803_<39>

8·10⁶⁸-7 =

799999999999999999999999999999999999999999999999999999999999999999993_<69>

= 13 · 41516485828848421419719_<23> · 1482265666515071799692906670141466439634980219_<46>

8·10⁶⁹-7 =

7999999999999999999999999999999999999999999999999999999999999999999993_<70>

= 19 · 9067 · 43908693779_<11> · 9872399643208523_<16> · 107127143551201534446383792527643031673_<39>

8·10⁷⁰-7 =

79999999999999999999999999999999999999999999999999999999999999999999993_<71>

= 499 · 1481 · 724158517 · 851489623 · 175558305487396031475804066977845250966542571417_<48>

8·10⁷¹-7 =

799999999999999999999999999999999999999999999999999999999999999999999993_<72>

= 29 · 43 · 641539695268644747393744987971130713712910986367281475541299117882919_<69>

8·10⁷²-7 =

7999999999999999999999999999999999999999999999999999999999999999999999993_<73>

= 82627923113_<11> · 388420588627_<12> · 69568529424874896407_<20> · 3583010534831107764757436413549_<31>

8·10⁷³-7 =

79999999999999999999999999999999999999999999999999999999999999999999999993_<74>

= 73 · 16829 · 65119164000172565784600457299329191211843222356711384539245285169029_<68>

8·10⁷⁴-7 =

799999999999999999999999999999999999999999999999999999999999999999999999993_<75>

= 13 · 31 · 953² · 9959009 · 52712029 · 4163641046116384842187530047560273085692062021439919_<52>

8·10⁷⁵-7 =

7999999999999999999999999999999999999999999999999999999999999999999999999993_<76>

= 17 · 281 · 3919 · 15712181 · 27255775559_<11> · 165811551641_<12> · 1089278724946635893_<19> · 5524724928426143472793_<22>

8·10⁷⁶-7 =

79999999999999999999999999999999999999999999999999999999999999999999999999993_<77>

= 495071694211033_<15> · 161592757039950249515958347224551202295482654126409030874105121_<63>

8·10⁷⁷-7 =

799999999999999999999999999999999999999999999999999999999999999999999999999993_<78>

= 5209 · 153580341716260318679209061240161259358802073334613169514302169322326742177_<75>

8·10⁷⁸-7 =

7999999999999999999999999999999999999999999999999999999999999999999999999999993_<79>

= 223 · 337 · 99425970069239248579_<20> · 1070669388920544284493087649682076523853076713909936317_<55>

8·10⁷⁹-7 =

79999999999999999999999999999999999999999999999999999999999999999999999999999993_<80>

= 1834214791_<10> · 347909904891654199_<18> · 1800105544970741719603_<22> · 69642609048493146360606371873059_<32>

8·10⁸⁰-7 =

799999999999999999999999999999999999999999999999999999999999999999999999999999993_<81>

= 13 · 3187 · 32717 · 1688127006299792930634397_<25> · 349611717194254905857971347862323532690011847847_<48>

8·10⁸¹-7 =

7999999999999999999999999999999999999999999999999999999999999999999999999999999993_<82>

= 73 · 36513023 · 110024147 · 27279180907486823078703846043977735187052607065894183725809235861_<65>

8·10⁸²-7 =

79999999999999999999999999999999999999999999999999999999999999999999999999999999993_<83>

= definitely prime number

8·10⁸³-7 =

799999999999999999999999999999999999999999999999999999999999999999999999999999999993_<84>

= 97 · 1039 · 35674957 · 7089363737167477_<16> · 30655618938653777_<17> · 171695938260383401_<18> · 5962959738701427556607_<22>

8·10⁸⁴-7 =

7999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<85>

= 173 · 95881 · 3152399 · 152992502305439090929897583054348452259395471781151503067041731570462939_<72>

8·10⁸⁵-7 =

79999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<86>

= 23 · 59 · 201167 · 310087 · 15963964606181_<14> · 19715009234227183_<17> · 3002839358364671826440481997909303258977247_<43>

8·10⁸⁶-7 =

799999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<87>

= 13 · 47 · 397 · 3298057856179942036633177637518706171903020608739028804412801411568762445015191679_<82>

8·10⁸⁷-7 =

7999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<88>

= 19 · 152994254258866817_<18> · 2752081335463257548120532223685739592086858471721061683252083975485891_<70>

8·10⁸⁸-7 =

79999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<89>

= 23531 · 3399770515490204411202243848540223534911393480940036547533041519697420424121371807403_<85>

8·10⁸⁹-7 =

799999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<90>

= 31 · 73² · 154656448420431137_<18> · 16035712184206787363_<20> · 1952658460541767525468609743128426585490495073597_<49>

8·10⁹⁰-7 =

7999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<91>

= 3259 · 228413597 · 327740323 · 188952179732119_<15> · 173540917762124244492325503082109702040870549344623175243_<57>

8·10⁹¹-7 =

79999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<92>

= 17 · 4603 · 15526736699249441927_<20> · 65844560377672575987557805519749278522930386783979701808876954467709_<68>

8·10⁹²-7 =

799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<93>

= 13 · 43 · 67 · 1297 · 184007 · 204917 · 2724650505670567_<16> · 43455177176144484992338211_<26> · 3688915767986917955773633681061891_<34>

8·10⁹³-7 =

7999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<94>

= 308149 · 25961466693060824471278504879133146627118699070904010722085744234120506638022515081989557_<89>

8·10⁹⁴-7 =

79999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<95>

= 233 · 343347639484978540772532188841201716738197424892703862660944206008583690987124463519313304721_<93>

8·10⁹⁵-7 =

799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<96>

= 4525201 · 176787727219188716700097962499345332947641441783469949732619611813928265285895587842396393_<90>

8·10⁹⁶-7 =

7999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<97>

= 348307 · 2648963 · 757840068231019_<15> · 11441272480728002936618650689952375708636324929473657074060350199528067_<71>

8·10⁹⁷-7 =

79999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<98>

= 73 · 453674985521_<12> · 58684664269531999_<17> · 84126486665301377903_<20> · 489288396328476977648621900707756405680596797393_<48>

8·10⁹⁸-7 =

799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<99>

= 13 · 107 · 12680162051_<11> · 21042062379353_<14> · 18007484365963110079_<20> · 119700703561189488396477273612289729672841380061389979_<54>

8·10⁹⁹-7 =

7999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<100>

= 29 · 629169166534303607841316399_<27> · 438454526443289507970428570654418188223608803063880191630980240864135683_<72>

8·10¹⁰⁰-7 =

79999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<101>

= 229 · 12226719530287_<14> · 11842819882116191_<17> · 344052185938781750149_<21> · 7012374616884743419074147713623588373869703740049_<49>

8·10¹⁰¹-7 =

7(9)₁₀₀3_<102>

= 4170380079597011210569_<22> · 10330582999512406397341743460337182001_<38> · 18569042841585993132213352597759568421815297_<44> (Makoto Kamada / Msieve 1.28 for P38 x P44 / 18 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / Oct 13, 2007)

8·10¹⁰²-7 =

7(9)₁₀₁3_<103>

= 2599231 · 123290814675728514277867589716453613_<36> · 24964012229434350382875423100742889170251821341837628816240131_<62> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 0.89 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Oct 13, 2007)

8·10¹⁰³-7 =

7(9)₁₀₂3_<104>

= 281 · 9903493 · 76751663 · 11645958539351398837968999925860551_<35> · 32161199219947116795810535309580815458905862060506117_<53> (Robert Backstrom / Msieve v. 1.28 for P35 x P53 / Oct 13, 2007)

8·10¹⁰⁴-7 =

7(9)₁₀₃3_<105>

= 13² · 31 · 509 · 1579796962153021_<16> · 255459044345936072945129_<24> · 2051179591895404226580491339_<28> · 362407821268233207823381883806493_<33>

8·10¹⁰⁵-7 =

7(9)₁₀₄3_<106>

= 19 · 73 · 2239 · 320339 · 395079463 · 20354721379963206553269218933612433577066181101705181828633897352103802737018647564593_<86>

8·10¹⁰⁶-7 =

7(9)₁₀₅3_<107>

= 1283 · 532009 · 158790879152078599_<18> · 549623578360897121_<18> · 1342930207369445147485790508259283121470938853626499288619236461_<64>

8·10¹⁰⁷-7 =

7(9)₁₀₆3_<108>

= 17 · 23 · 98471135653973_<14> · 45297312667983744653167_<23> · 286694305301154547330322377074383_<33> · 1599973460561612200814233717457159491_<37> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=839915385 for P33 / Oct 3, 2007)

8·10¹⁰⁸-7 =

7(9)₁₀₇3_<109>

= 25939367 · 114987895849_<12> · 18042440361839_<14> · 81745264301072018845011799_<26> · 1818530567689723259459827654932140603507045278925311_<52>

8·10¹⁰⁹-7 =

7(9)₁₀₈3_<110>

= 19759 · 5270408021_<10> · 202739417701_<12> · 3789156932901054666927889121768059888129647844878026284430834861115293173108560561887_<85>

8·10¹¹⁰-7 =

7(9)₁₀₉3_<111>

= 13 · 30197 · 69511273067394199277_<20> · 3412752588243064179197971634430268240789861_<43> · 8590585972779452282610598329176427275489929_<43> (Robert Backstrom / Msieve v. 1.28 for P43 x P43 / Oct 13, 2007)

8·10¹¹¹-7 =

7(9)₁₁₀3_<112>

= 287014529 · 7109347387_<10> · 26990229146495333_<17> · 145261256895403550184332634593619026621776453876654622849998280745749235710527_<78>

8·10¹¹²-7 =

7(9)₁₁₁3_<113>

= 2931421 · 22996109 · 2832971246892407_<16> · 4872095373570467573643100918453_<31> · 85980404877864620508201185430985783188468436185609547_<53> (Makoto Kamada / GMP-ECM 6.1.3 B1=50000, sigma=206526894 for P31 / Sep 29, 2007)

8·10¹¹³-7 =

7(9)₁₁₂3_<114>

= 43 · 73 · 947 · 138185209 · 1766907794190056087078782907983423_<34> · 1102232585621228023273179280338960623464028098584925315433259382103_<67> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 4.01 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Oct 13, 2007)

8·10¹¹⁴-7 =

7(9)₁₁₃3_<115>

= 230904677 · 587132704218609332602624273840988912804671457773_<48> · 59009370997911180303851532975515874983963222792974758349433_<59> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 3.32 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Oct 13, 2007)

8·10¹¹⁵-7 =

7(9)₁₁₄3_<116>

= 22943 · 276467 · 12612363584618318995768940005195325797957627970273878015995075487503549475806119222452243478807796486609853_<107>

8·10¹¹⁶-7 =

7(9)₁₁₅3_<117>

= 13 · 4021 · 557196865646021307939623_<24> · 27466536373976767330720384777481914148560112523783089164026338138149703544566395812100367_<89>

8·10¹¹⁷-7 =

7(9)₁₁₆3_<118>

= 293 · 29383 · 1226101 · 3843120563_<10> · 29719096380237372161_<20> · 30842026120106441951912719828293779_<35> · 215148080048124370561479185126058722088751_<42> (Makoto Kamada / Msieve 1.28 for P35 x P42 / 6.6 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / Oct 13, 2007)

8·10¹¹⁸-7 =

7(9)₁₁₇3_<119>

= 829 · 1973 · 17093 · 158863 · 1878107659_<10> · 44074062975112477_<17> · 217602433234082518936556423664764516836440556760649436075123491853102557911317_<78>

8·10¹¹⁹-7 =

7(9)₁₁₈3_<120>

= 31 · 65850038351296212647890397578950381287521_<41> · 391897290556327270259798161999635360467060860906617319029511693859070848809543_<78> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / 1.48 hours on Cygwin on AMD 64 3200+ / Oct 13, 2007)

8·10¹²⁰-7 =

7(9)₁₁₉3_<121>

= 157 · 7968382460641_<13> · 21111753742479689_<17> · 302897613993281273115590594508262943078292619379610917121537239540340719793238075538181701_<90>

8·10¹²¹-7 =

7(9)₁₂₀3_<122>

= 73 · 199 · 619 · 9998065260654864163_<19> · 889830800381548318948824728724837555139000869299759983865761369599656946460132914798032448783847_<96>

8·10¹²²-7 =

7(9)₁₂₁3_<123>

= 13 · 61 · 991009658022393989983_<21> · 263068100929625943041967577_<27> · 457984750913671486962494552679871697_<36> · 8449280052034562255872944859775364263_<37> (Makoto Kamada / Msieve 1.28 for P36 x P37 / 3.4 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / Oct 13, 2007)

8·10¹²³-7 =

7(9)₁₂₂3_<124>

= 17² · 19 · 347 · 386763287 · 10855849802613103579022116779346631899202351456921871894565484144389680061329423981744200456824741574951939407_<110>

8·10¹²⁴-7 =

7(9)₁₂₃3_<125>

= 331 · 5347034717_<10> · 42073737182671423_<17> · 1074330485522064872501722708306214152280986733042175344439169214857156848941104298010333354637433_<97>

8·10¹²⁵-7 =

7(9)₁₂₄3_<126>

= 67 · 263 · 922941121714041377_<18> · 11459410308225956161_<20> · 825963517497186465103981_<24> · 5197114732173158881062240620981225910810452794667473442116969_<61>

8·10¹²⁶-7 =

7(9)₁₂₅3_<127>

= 8689 · 4529047 · 578224727 · 204568707054071_<15> · 1718610663578272636023472631044055321574168136842961820370454888273694949824396609038008672463_<94>

8·10¹²⁷-7 =

7(9)₁₂₆3_<128>

= 29 · 173 · 791770097 · 20139412177455462258103004127865340990652537964359437050505872971353911689102355654723753699787315887064222339219057_<116>

8·10¹²⁸-7 =

7(9)₁₂₇3_<129>

= 13 · 4458931 · 28353751 · 344697087446640263047_<21> · 212705206095827642161365792695450030873_<39> · 6638800655743115255251905310435410068403132728886029351_<55> (Sinkiti Sibata / GGNFS-0.77.1-20060513-pentium4 snfs / 5.28 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Oct 13, 2007)

8·10¹²⁹-7 =

7(9)₁₂₈3_<130>

= 23 · 73 · 1787 · 54243160571_<11> · 49155232185251672916359655395402489237772941476433604415349930973885127333141487446285269507094237190266368035471_<113>

8·10¹³⁰-7 =

7(9)₁₂₉3_<131>

= 265479094211_<12> · 301341995450748520935859688004410644218445894161096980133616612356703668699183996403393544649071169720979924652271247763_<120>

8·10¹³¹-7 =

7(9)₁₃₀3_<132>

= 149 · 281 · 376313501619021334931_<21> · 37274544353516647698335148848851846484864657_<44> · 1362182369130717145175925548652388406862572932354777517395196191_<64> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 4.40 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Oct 14, 2007)

8·10¹³²-7 =

7(9)₁₃₁3_<133>

= 47 · 86273039 · 1972954331160709529551153262056068588611036335662422609173935333969907212695197193102140395931829034787733257954508626718521_<124>

8·10¹³³-7 =

7(9)₁₃₂3_<134>

= 109 · 80621 · 11014145837878426121_<20> · 826541160540256229879703805106691463468402200332492553369695111074988793505586249400110961891311985269389897_<108>

8·10¹³⁴-7 =

7(9)₁₃₃3_<135>

= 13 · 31 · 43 · 379 · 398471 · 16515812627621261_<17> · 48003731369287073342189922196135629754309_<41> · 385572109653783210030204978859579938448033879962204411809558451037_<66> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 5.87 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Oct 14, 2007)

8·10¹³⁵-7 =

7(9)₁₃₄3_<136>

= 1510838621441_<13> · 5295072475953653185110389725314228733325731635902728454653990971480196217182373357016912893409243483991215514181559936602873_<124>

8·10¹³⁶-7 =

7(9)₁₃₅3_<137>

= 163 · 269 · 22407799279_<11> · 81876428270723_<14> · 110918576820312746668279691257635716599183_<42> · 8965772596523034939022478706473281787255547555025279231551238868629_<67> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 7.91 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Oct 14, 2007)

8·10¹³⁷-7 =

7(9)₁₃₆3_<138>

= 73 · 9964781 · 141316153943199860951746141560760739245162925887_<48> · 7782292667443130880016248231198064453618474981570509859512503079754219269452839403_<82> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 6.78 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Oct 14, 2007)

8·10¹³⁸-7 =

7(9)₁₃₇3_<139>

= 853 · 1044646013_<10> · 339769946911_<12> · 378070900834703_<15> · 1330352038824408067729_<22> · 52534791237375100202641670373168225707365206334566610422570572380612786266873241_<80>

8·10¹³⁹-7 =

7(9)₁₃₈3_<140>

= 17 · 5001049 · 940979053182877526412605694148896973179732774416868517455626044949887160732501850523524870364550458490279327632356849180100838373521_<132>

8·10¹⁴⁰-7 =

7(9)₁₃₉3_<141>

= 13 · 113 · 3361 · 21611 · 27910743013_<11> · 67303860076854509_<17> · 2931927624833859099760097_<25> · 9283903206357447556281680321617183_<34> · 146632282536798760050374644256960590697757721_<45> (Makoto Kamada / Msieve 1.28 for P34 x P45 / 9.1 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / Oct 13, 2007)

8·10¹⁴¹-7 =

7(9)₁₄₀3_<142>

= 19 · 121963 · 3452298086952168841542538569721533320933829371030126910793048970416826155645996175716794178734965781252899390971463735550514241376914569_<136>

8·10¹⁴²-7 =

7(9)₁₄₁3_<143>

= 2857 · 170295424162300840230361627660073534692518109605861209895558110069_<66> · 164428376204146486985826323441216525770957734599964780155385367813374589421_<75> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / 7.72 hours on Cygwin on AMD XP 2700+ / Oct 15, 2007)

8·10¹⁴³-7 =

7(9)₁₄₂3_<144>

= 59 · 4447 · 5601221150117_<13> · 8566414472281_<13> · 1258381818866581491179_<22> · 179730776046035420839097_<24> · 80866680407860915241377737923_<29> · 3474437810360008283903307798170219308817_<40>

8·10¹⁴⁴-7 =

7(9)₁₄₃3_<145>

= 4583 · 1745581496836133536984507964215579314859262491817586733580624045385118917739471961597207069605062186340824787257255073096225180013091861226271_<142>

8·10¹⁴⁵-7 =

7(9)₁₄₄3_<146>

= 73 · 53923 · 20323246313426628889138977725467999905496904642566175665503753576573800439439393412067283155407545868931827956606820633887133327354911709467_<140>

8·10¹⁴⁶-7 =

7(9)₁₄₅3_<147>

= 13 · 1046365087_<10> · 19154907071_<11> · 1580183000642280038370796123881094831961607470495009_<52> · 1943014132025684712297993803987711508705879519397502794606730636362479155677_<76> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 19.55 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Oct 15, 2007)

8·10¹⁴⁷-7 =

7(9)₁₄₆3_<148>

= definitely prime number

8·10¹⁴⁸-7 =

7(9)₁₄₇3_<149>

= definitely prime number

8·10¹⁴⁹-7 =

7(9)₁₄₈3_<150>

= 31 · 13064358733_<11> · 15095704951_<11> · 40539974111610363202661_<23> · 6660161181472730934997583_<25> · 484639257421238041889059984152881469484694251050801480478452693765067963663563007_<81>

8·10¹⁵⁰-7 =

7(9)₁₄₉3_<151>

= 1746264631_<10> · 105567100347100133255550544367_<30> · 43396163457214829852237981192343111474322079130419666596683190337849848258141828629297548309327648699325748021409_<113> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=161582303 for P30 / Oct 6, 2007)

8·10¹⁵¹-7 =

7(9)₁₅₀3_<152>

= 23 · 107 · 5569 · 6029 · 5676941659286357_<16> · 21788576409750498214905595223_<29> · 5423671886025109442120246388749_<31> · 1443175595670302296287530288340641513337370692964945259930652789367_<67> (Sinkiti Sibata / Msieve v. 1.28 for P31 x P67 / 41.03 hours on Pentiu3 750MHz, Windows Me / Oct 16, 2007)

8·10¹⁵²-7 =

7(9)₁₅₁3_<153>

= 13 · 18307 · 4639298979169_<13> · 238372349228810543_<18> · 132196018950577432404812799228403_<33> · 22993381145741293920904930229003616713749210764279783545611429634014833752788402278923_<86> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 21.25 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Oct 16, 2007)

8·10¹⁵³-7 =

7(9)₁₅₂3_<154>

= 73 · 246833 · 540901 · 45503821118476645834178831665898714663_<38> · 18038409980107755666629933064361219737535695629711907649346771548449394176944215804284623352754129419979_<104> (Robert Backstrom / GMP-ECM 6.0.1 B1=1210000, sigma=297252936 for P38 / Oct 14, 2007)

8·10¹⁵⁴-7 =

7(9)₁₅₃3_<155>

= 2356867 · 603555989507_<12> · 113351694760778508277044308809837_<33> · 496145811653311910056803679142753059087314051602854121158090203147254006251607995277425635648201231426581_<105> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 32.35 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Oct 16, 2007)

8·10¹⁵⁵-7 =

7(9)₁₅₄3_<156>

= 17 · 29 · 43 · 671189 · 25898947 · 152487428057225842444645257923753_<33> · 14236841024808958548325101138045141061138828604047990755202358992513725161786539507007143495539941593140193_<107> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 32.46 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Oct 17, 2007)

8·10¹⁵⁶-7 =

7(9)₁₅₅3_<157>

= 181 · 909281 · 10904285406759073728471842840772332558593_<41> · 1088070887339914750056094304772577853777226365141_<49> · 4096933317053668078876000501612735226248308616390449901334401_<61> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 40.39 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Oct 18, 2007)

8·10¹⁵⁷-7 =

7(9)₁₅₆3_<158>

= 857 · 3270705001345087307_<19> · 578713235026034382304696193140789480917763057_<45> · 49317877250812105191907662188584024853530218296906864974832385857053714133780682125502798451_<92> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 32.59 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Oct 19, 2007)

8·10¹⁵⁸-7 =

7(9)₁₅₇3_<159>

= 13 · 67 · 346176468096559273822741304052813207109273708583996031665987163333529663757_<75> · 2653226273941471985206044635089360508906271929143252016829426314360757542050928219_<82> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / 41.09 hours on Cygwin on AMD 64 3200+ / Oct 17, 2007)

8·10¹⁵⁹-7 =

7(9)₁₅₈3_<160>

= 19 · 281 · 1369051 · 4699044589038983_<16> · 232916831370588511320575318461715708750144599021970123071739214169392753324801410553712469239765660030274768718277314780189948733106839_<135>

8·10¹⁶⁰-7 =

7(9)₁₅₉3_<161>

= 179 · 2341 · 16454596943744503209146711864636020997566170732129357607128813577870908913_<74> · 11602412280012005744956049762841701654854199246869403531853864740606458920710587799_<83> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs, Msieve 1.28 / Oct 18, 2007)

8·10¹⁶¹-7 =

7(9)₁₆₀3_<162>

= 73 · 8422545580993_<13> · 1301139186984015096682360010202346224514010417438257016781071527716480031674276725984364967602578001848551543630290951489998346708860515636888001137_<148>

8·10¹⁶²-7 =

7(9)₁₆₁3_<163>

= 494213 · 388509891553534266757079_<24> · 16147676136454049333700128338546853224145331776821755134693_<59> · 2580261432154997404112328929704725753375527855692727120431726388111826233063_<76> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 61.95 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Oct 20, 2007)

8·10¹⁶³-7 =

7(9)₁₆₂3_<164>

= 1511 · 9661 · 321227 · 564463 · 725182024346650930487852356735252779350207_<42> · 41678193707764674563769995598226622228791564423366352341260784993112394124120101447997247395973034963569_<104> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs, Msieve 1.31 / Dec 20, 2007)

8·10¹⁶⁴-7 =

7(9)₁₆₃3_<165>

= 13 · 31 · 139079 · 164291 · 13627763 · 457257818473_<12> · 3254347542869_<13> · 722442281039997960877223_<24> · 5930028903227035759359689967156772385597655264730364192981298245171605082508703360478114144627783_<97>

8·10¹⁶⁵-7 =

7(9)₁₆₄3_<166>

= 2381 · 5443 · 9170957 · 1193913161057723_<16> · 18720100338778545677_<20> · 221092714624829016465471979_<27> · 14107017695779960660551276385083916411_<38> · 965577295039246891714130651139286441420217189730013597_<54> (Sinkiti Sibata / Msieve v. 1.28 for P38 x P54 / 14.66 hours on Pentium3 750MHz, Windows Me / Oct 14, 2007)

8·10¹⁶⁶-7 =

7(9)₁₆₅3_<167>

= 189105069674903884763_<21> · 1522772221419401839524691150172700628024852433_<46> · 277812555442990950898376801343060528596613057168376742703741533699762175389406425410348927877185643467_<102> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs, Msieve 1.33 / Jan 28, 2008)

8·10¹⁶⁷-7 =

7(9)₁₆₆3_<168>

= 15137 · 70835644003123593484318087394932806885707_<41> · 746102215179633311919695276118227149695996068322953673178010306203699906940184998267472539948678240767141330911324215957227_<123> (Robert Backstrom / GGNFS-0.77.1-20060513-athlon-xp snfs / 78.72 hours on Msieve 1.28 / Oct 30, 2007)

8·10¹⁶⁸-7 =

7(9)₁₆₇3_<169>

= 889051 · 3504811485997_<13> · 212811322817407_<15> · 15345355832599422733596083704019_<32> · 350969010395558715534644431751677_<33> · 2240052427411472440287076912394101922396296096003376631991190413937458559_<73> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=389461790 for P32 / Oct 7, 2007) (Robert Backstrom / GMP-ECM 6.0.1 B1=585500, sigma=243109381 for P33 / Oct 15, 2007)

8·10¹⁶⁹-7 =

7(9)₁₆₈3_<170>

= 73 · 8753 · 473048713356314168354682550298167494871_<39> · 36110938960348331268870320405592134697102786337_<47> · 7329351527850956899400617896031539095927171138622765905330195821735845789339911_<79> (Robert Backstrom / GGNFS-0.77.1-20060513-athlon-xp snfs, Msieve 1.36 / 105.41 hours on Cygwin on AMD 64 3200+ / Jun 14, 2008)

8·10¹⁷⁰-7 =

7(9)₁₆₉3_<171>

= 13 · 167 · 173 · 3527 · 1164843975864664079_<19> · 267225671577587886263333427818158723483_<39> · 1940138194737605546964094210184209125694364459325237602677778591219159584108616662614835144171508335314589_<106> (Serge Batalov / GMP-ECM 6.2.1 B1=11000000, sigma=4243394023 for P39 / Feb 14, 2009)

8·10¹⁷¹-7 =

7(9)₁₇₀3_<172>

= 17 · 1151 · 24647086395999836771837331424225869225743402319273339674995455701866527506633_<77> · 16588234057078252813498282677454365397090590853140579319578237953322061447834122710199965663_<92> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs, msieve 1.36 / 112.41 hours on Cygwin on AMD 64 3400+ / May 29, 2008)

8·10¹⁷²-7 =

7(9)₁₇₁3_<173>

= 190313 · 138161571992322355518249925361034781278945385532571294634897_<60> · 3042525772479980573421781698654833894292124178776206300829682839392738230075715174164879797011327208823658113_<109> (Serge Batalov / Msieve-1.37 snfs / 45.00 hours on Opteron-2.6GHz; Linux x86_64 / Sep 6, 2008)

8·10¹⁷³-7 =

7(9)₁₇₂3_<174>

= 23 · 59362867 · 192545362924619_<15> · 2012710873082583521_<19> · [1511933976564259207825753213410201894118627087817246589303254316622514372305569081890713842452086731119783113310275489514783360440127_<133>] SUBMIT/RESERVE

8·10¹⁷⁴-7 =

7(9)₁₇₃3_<175>

= 1056521 · 302431967 · 46672346874220637_<17> · 65720457334422112009_<20> · 8162514066217863034011939331049966080262704723949640614648306749601450148073440213902678969209605068330899993937004833410403_<124>

8·10¹⁷⁵-7 =

7(9)₁₇₄3_<176>

= 28619 · 17442773 · 3943797497_<10> · 5566513129_<10> · 7299988209372684633386743775824476072807344015435674945840349515199307504097928647086954734562712595546406372968550094198982812141306721600339903_<145>

8·10¹⁷⁶-7 =

7(9)₁₇₅3_<177>

= 13 · 43 · 117002537 · 144171022699516781_<18> · 6834500872906270903_<19> · [12413610595401417686211830655205083962418215643641052087766483976938267932700560799982520201352146435460790062194667205430970129597_<131>] SUBMIT/RESERVE

8·10¹⁷⁷-7 =

7(9)₁₇₆3_<178>

= 19 · 73 · 845024513588440108342229237258611536863418925832842805605254098132291_<69> · 6825653191658678389031719639341109854130190201976846345079951503520340161289026704590084570366199203022329_<106> (matsui / GGNFS-0.77.1-20060513-prescott snfs / Apr 10, 2008)

8·10¹⁷⁸-7 =

7(9)₁₇₇3_<179>

= 47 · 1462797183671_<13> · 2162748783730487791_<19> · [538024356933939543543762084821664819248682846180354344862538922653610929074484382362483625469439457871447111766892777591722941211949135273271823279_<147>] SUBMIT/RESERVE

8·10¹⁷⁹-7 =

7(9)₁₇₈3_<180>

= 31 · 97 · 131 · 721213 · 913163628317_<12> · 1178970850679199421_<19> · 2615592264425392381255416956464041031089189325341195469082252823497640369187539763394206842642543308056299986440370283488797785678491373769_<139>

8·10¹⁸⁰-7 =

7(9)₁₇₉3_<181>

= 13362211 · 2015403613_<10> · 66137750281_<11> · [4491591081862865150081988283581596282996430661901748817637662382649049431748332418458628844867088967012058945276668274280495221847780102925444690184123671_<154>] SUBMIT/RESERVE

8·10¹⁸¹-7 =

7(9)₁₈₀3_<182>

= 216148982655435929699114314027715477553384103519_<48> · 370115089218478356758654535607364677329573694364240237802979699121028544430300307143621280593966654455367748978194923424449434078433447_<135> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 248.23 hours on Core 2 Quad Q6600 / Nov 22, 2007)

8·10¹⁸²-7 =

7(9)₁₈₁3_<183>

= 13² · 61 · 2332081838137_<13> · 27055230110702629201_<20> · 98895349891318796575560797_<26> · 12436625513441607351018734976239712321047777203353768560728322296783882154204336647085201150424965704346565198147532228193_<122>

8·10¹⁸³-7 =

7(9)₁₈₂3_<184>

= 29 · 294247 · 38265808906703231304595809421_<29> · 24500167134536126472599393299333615149155464751076222829070025131852174831394267291996190546334211811981071734978947827482729086743591397141033071191_<149>

8·10¹⁸⁴-7 =

7(9)₁₈₃3_<185>

= 110925601981_<12> · 11280413718434211509582867_<26> · 63934189607277879378544094730858790556144253921656894122969077571220755212770182396512445389288170173320630316641827798763380265150033530137004597759_<149>

8·10¹⁸⁵-7 =

7(9)₁₈₄3_<186>

= 73 · 397 · 72227 · 1430976541_<10> · [267081944506155877050428880041026597368440453771213957358471006730851855962585911204910752908408493625127630676275694771087913160424820479988079851041265911871871100979_<168>] SUBMIT/RESERVE

8·10¹⁸⁶-7 =

7(9)₁₈₅3_<187>

= 23673718891878340687652156651068165346397873316066209701723_<59> · 337927472930521778199552160468265760927553690616358987625083967033589270515553679435711873302636879244937694756967161283401298491_<129> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 403.36 hours on Core 2 Quad Q6600 / Dec 7, 2007)

8·10¹⁸⁷-7 =

7(9)₁₈₆3_<188>

= 17 · 281 · 121283 · [138081283345950309230531329995072172420110143607969451711552113694692661708686737203499592110478020125523101308523656994210274227512847250889071294647748009652799946416177184770523_<180>] SUBMIT/RESERVE

8·10¹⁸⁸-7 =

7(9)₁₈₇3_<189>

= 13 · 1856244219231305223253_<22> · 33152136395040417982505636589976976699617644072957244953717587187011239012475186939214285625441504182517204973398592538634063801619699149703990564569933743216513917737_<167>

8·10¹⁸⁹-7 =

7(9)₁₈₈3_<190>

= 1403785393_<10> · 1947272813871401270971_<22> · 259434316310048883009749966749_<30> · 11280673929515482410186744031856075693766227254925575504050922917780974235338007459650081318927619624208279244239261693510134938119_<131> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=1724537978 for P30 / Sep 23, 2008)

8·10¹⁹⁰-7 =

7(9)₁₈₉3_<191>

= 797 · 814531 · 14921461703969_<14> · [8258718803429434901947831228369030710983669494079124845668232301283431700057705493304856348493325039887314945452435156236449799354384885023552205071466886838935677904271_<169>] SUBMIT/RESERVE

8·10¹⁹¹-7 =

7(9)₁₉₀3_<192>

= 67 · 11469883507483_<14> · 517205765578323649_<18> · 1333060524623686631_<19> · 132745209194618336637053_<24> · 11374284723302113095065070147964824206245993480626319744292030120907614014993148986669164517986406972130041135331223259_<119>

8·10¹⁹²-7 =

7(9)₁₉₁3_<193>

= 370224150602387_<15> · 13137295938513047453_<20> · [1644823333960706619918308254248956966136534845429585851401438181749896915005017473032475941702775443212673998919289829582602516667419032258912238658835695786463_<160>] SUBMIT/RESERVE

8·10¹⁹³-7 =

7(9)₁₉₂3_<194>

= 73 · 5393 · 788603 · 4356983 · 1015082108781228446452602759109_<31> · [58262785362048468484252747792250295282512563419974189573357511879114799532054862534507685949485894176833585405504873048787253376661956799858269057_<146>] (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=2915094564 for P31 / Oct 12, 2007) SUBMIT/RESERVE

8·10¹⁹⁴-7 =

7(9)₁₉₃3_<195>

= 13 · 31 · 87844330667_<11> · 22598062361658513127720581285238983488269863640530105914779261677491250626314818034301847064070949949708692106495086380302092303521871598549828895202070663090963283978570007118731593_<182>

8·10¹⁹⁵-7 =

7(9)₁₉₄3_<196>

= 19 · 23 · 463 · 541 · 2167079 · 33725278929989718367296707434334485310695481211168002323756835349365145037588386878550278916987259889993429513158736727559293420030942856100230202162939878599014913805733022302852977_<182>

8·10¹⁹⁶-7 =

7(9)₁₉₅3_<197>

= 5531 · 358990876536924989546737_<24> · 214605166213413649753799079575549309_<36> · 187742563889361910433535169521129458961729353440826580401787271210018504832215823551155968418007570578866423270571979403524548052497991_<135> (Serge Batalov / GMP-ECM 6.2.1 B1=11000000, sigma=1664096161 for P36 / Feb 14, 2009)

8·10¹⁹⁷-7 =

7(9)₁₉₆3_<198>

= 43 · 421 · 322871 · [136870671128516184080803107646808654235288844241508680391085899728149748479448666760269210943573279151745959244550974089036687763031950059687528914838182699506689854568073525045295924299561_<189>] SUBMIT/RESERVE

8·10¹⁹⁸-7 =

7(9)₁₉₇3_<199>

= 157 · 311 · 661 · 2505901 · 253095934244711_<15> · 703017201973907963_<18> · [555921481648794574506622447100375278706510755824406115096505132222908589874610349651295688398095489297398697225137209069969598343189017639467583993092583_<153>] SUBMIT/RESERVE

8·10¹⁹⁹-7 =

7(9)₁₉₈3_<200>

= 40277 · 1677639631469_<13> · 1263729774602819797554049145069839_<34> · [936871390399138742901368555643224591871490313342519180911444448294845571847836816547261492648358292268289009623912174776699414148212413183797059560999_<150>] (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=1000427179 for P34 / Oct 13, 2007) SUBMIT/RESERVE

8·10²⁰⁰-7 =

7(9)₁₉₉3_<201>

= 13 · 3803 · 41718396121570497140767019201_<29> · [387875819175186798910200330334843877711945977654651017661173969819207974790531402119635644021358035310171639221414784412628635722401034779575731852871484134072593118887_<168>] SUBMIT/RESERVE

4. References

• A099190 (On-Line Encyclopedia of Integer Sequences)