Factorizations of 199...993

Table of contents

1. About 199...993
   • First ten terms
   • General term
2. Prime numbers of the form 199...993
   • Last update
   • Searched up to
   • Difficulty of search
   • Results
3. Factorizations of 199...993
   • Last update
   • Completed up to
   • Range
   • Terms which have not been factored yet
   • Results
4. References

1. About 199...993

First ten terms

13, 193, 1993, 19993, 199993, 1999993, 19999993, 199999993, 1999999993, 19999999993

General term

2·10ⁿ-7

2. Prime numbers of the form 199...993

Last update

Aug 9, 2009

Searched up to

n≤20000

Difficulty of search

29.08%

Results

1. 2·10¹-7 = 13 is prime.
2. 2·10²-7 = 193 is prime.
3. 2·10³-7 = 1993 is prime.
4. 2·10⁴-7 = 19993 is prime.
5. 2·10⁶-7 = 1999993 is prime.
6. 2·10¹⁶-7 = 1(9)₁₅3_<17> is prime.
7. 2·10²¹-7 = 1(9)₂₀3_<22> is prime.
8. 2·10²⁸-7 = 1(9)₂₇3_<29> is prime.
9. 2·10⁴⁸-7 = 1(9)₄₇3_<49> is prime.
10. 2·10⁸²-7 = 1(9)₈₁3_<83> is prime.
11. 2·10¹²²-7 = 1(9)₁₂₁3_<123> is prime. (Makoto Kamada / PPSIQS / Sep 26, 2004)
12. 2·10¹³⁰-7 = 1(9)₁₂₉3_<131> is prime. (Makoto Kamada / PPSIQS / Sep 26, 2004)
13. 2·10²⁸²-7 = 1(9)₂₈₁3_<283> is prime. (Makoto Kamada / PPSIQS / Sep 26, 2004)
14. 2·10³⁰⁴-7 = 1(9)₃₀₃3_<305> is prime. (searched by Makoto Kamada / Sep 26, 2004) (certified by Julien Peter Benney / http://www.alpertron.com.ar/ECM.HTM / Dec 1, 2004)
15. 2·10⁴⁶⁰²-7 = 1(9)₄₆₀₁3_<4603> is PRP. (Makoto Kamada / PFGW / Dec 23, 2004)
16. 2·10¹²⁹⁸⁴-7 = 1(9)₁₂₉₈₃3_<12985> is PRP. (Sinkiti Sibata / PFGW / Dec 12, 2007)
17. 2·10¹³⁶¹⁴-7 = 1(9)₁₃₆₁₃3_<13615> is PRP. (Sinkiti Sibata / PFGW / Dec 12, 2007)

3. Factorizations of 199...993

Last update

Nov 8, 2009

Completed up to

• n≤100 / Sep 26, 2004
• n≤150 / Aug 20, 2007

Range

n≤200

Terms which have not been factored yet

n=173, 179, 181, 182, 190, 193, 194, 195, 196, 197, 199 (11/200)

Results

2·10¹-7 =

13

= definitely prime number

2·10²-7 =

193

= definitely prime number

2·10³-7 =

1993

= definitely prime number

2·10⁴-7 =

19993

= definitely prime number

2·10⁵-7 =

199993

= 43 · 4651

2·10⁶-7 =

1999993

= definitely prime number

2·10⁷-7 =

19999993

= 13 · 1538461

2·10⁸-7 =

199999993

= 47 · 647 · 6577

2·10⁹-7 =

1999999993_<10>

= 29 · 1327 · 51971

2·10¹⁰-7 =

19999999993_<11>

= 167 · 2399 · 49921

2·10¹¹-7 =

199999999993_<12>

= 31 · 6451612903_<10>

2·10¹²-7 =

1999999999993_<13>

= 151841 · 13171673

2·10¹³-7 =

19999999999993_<14>

= 13 · 19 · 23 · 3520506953_<10>

2·10¹⁴-7 =

199999999999993_<15>

= 337 · 109597 · 5415037

2·10¹⁵-7 =

1999999999999993_<16>

= 17 · 2971 · 4523 · 8754913

2·10¹⁶-7 =

19999999999999993_<17>

= definitely prime number

2·10¹⁷-7 =

199999999999999993_<18>

= 419 · 477326968973747_<15>

2·10¹⁸-7 =

1999999999999999993_<19>

= 199² · 293 · 196853 · 875617

2·10¹⁹-7 =

19999999999999999993_<20>

= 13 · 59 · 2909 · 8963774250931_<13>

2·10²⁰-7 =

199999999999999999993_<21>

= 113 · 1769911504424778761_<19>

2·10²¹-7 =

1999999999999999999993_<22>

= definitely prime number

2·10²²-7 =

19999999999999999999993_<23>

= 67 · 435973 · 684692544461623_<15>

2·10²³-7 =

199999999999999999999993_<24>

= 11909 · 110989 · 151312484375993_<15>

2·10²⁴-7 =

1999999999999999999999993_<25>

= 3347 · 240631 · 2483262941251349_<16>

2·10²⁵-7 =

19999999999999999999999993_<26>

= 13 · 449 · 649392647 · 5276341972987_<13>

2·10²⁶-7 =

199999999999999999999999993_<27>

= 31 · 43 · 38609 · 50723 · 603257 · 127000079

2·10²⁷-7 =

1999999999999999999999999993_<28>

= 14821 · 189892817689_<12> · 710630673997_<12>

2·10²⁸-7 =

19999999999999999999999999993_<29>

= definitely prime number

2·10²⁹-7 =

199999999999999999999999999993_<30>

= 93157183543_<11> · 2146909045480995151_<19>

2·10³⁰-7 =

1999999999999999999999999999993_<31>

= 233 · 542683 · 908543 · 17409342557850109_<17>

2·10³¹-7 =

19999999999999999999999999999993_<32>

= 13 · 17 · 19 · 391711 · 3147649327_<10> · 3863064958031_<13>

2·10³²-7 =

199999999999999999999999999999993_<33>

= 7937879 · 26255993 · 959615100108287719_<18>

2·10³³-7 =

1999999999999999999999999999999993_<34>

= 157 · 1235676094033_<13> · 10309217411180659453_<20>

2·10³⁴-7 =

19999999999999999999999999999999993_<35>

= 107 · 2357 · 23220389 · 3415207884783397498163_<22>

2·10³⁵-7 =

199999999999999999999999999999999993_<36>

= 23 · 144103 · 60343311200412506875366019897_<29>

2·10³⁶-7 =

1999999999999999999999999999999999993_<37>

= 61 · 81777671 · 18409130083_<11> · 21778710214599641_<17>

2·10³⁷-7 =

19999999999999999999999999999999999993_<38>

= 13 · 29 · 3847 · 13790069632956611614410346965047_<32>

2·10³⁸-7 =

199999999999999999999999999999999999993_<39>

= 4837731548147_<13> · 41341690420297536424651619_<26>

2·10³⁹-7 =

1999999999999999999999999999999999999993_<40>

= 70896459831651473_<17> · 28210153296076246315241_<23>

2·10⁴⁰-7 =

19999999999999999999999999999999999999993_<41>

= 547 · 750561847192290337_<18> · 48714268430728997587_<20>

2·10⁴¹-7 =

199999999999999999999999999999999999999993_<42>

= 31 · 863 · 86377036747_<11> · 549246358123_<12> · 157576706519201_<15>

2·10⁴²-7 =

1999999999999999999999999999999999999999993_<43>

= 1151 · 1291421 · 1345509683780863858672140671885683_<34>

2·10⁴³-7 =

19999999999999999999999999999999999999999993_<44>

= 13 · 3623 · 41764450260838073_<17> · 10167438170778002415859_<23>

2·10⁴⁴-7 =

199999999999999999999999999999999999999999993_<45>

= 41879 · 3630951917_<10> · 105160470244033_<15> · 12507216728836747_<17>

2·10⁴⁵-7 =

1999999999999999999999999999999999999999999993_<46>

= 163 · 12269938650306748466257668711656441717791411_<44>

2·10⁴⁶-7 =

19999999999999999999999999999999999999999999993_<47>

= 1032571 · 14766109199887_<14> · 1311728625703191116458701109_<28>

2·10⁴⁷-7 =

199999999999999999999999999999999999999999999993_<48>

= 17 · 43 · 773 · 9309826661_<10> · 12056495332619_<14> · 3153337441442253529_<19>

2·10⁴⁸-7 =

1999999999999999999999999999999999999999999999993_<49>

= definitely prime number

2·10⁴⁹-7 =

19999999999999999999999999999999999999999999999993_<50>

= 13 · 19 · 9545244125897069_<16> · 8482932322217433539512787372651_<31>

2·10⁵⁰-7 =

199999999999999999999999999999999999999999999999993_<51>

= 2081 · 36786417670609769501_<20> · 2612584933330129305356310253_<28>

2·10⁵¹-7 =

1999999999999999999999999999999999999999999999999993_<52>

= 1423 · 38237 · 36757103783553883001146215145834452510566243_<44>

2·10⁵²-7 =

19999999999999999999999999999999999999999999999999993_<53>

= 176951 · 113025639866403693677910834072709394126057496143_<48>

2·10⁵³-7 =

199999999999999999999999999999999999999999999999999993_<54>

= 7855261 · 61021733623_<11> · 1809129579401_<13> · 230629660624325766585731_<24>

2·10⁵⁴-7 =

1999999999999999999999999999999999999999999999999999993_<55>

= 47 · 234837181 · 10362105332993750440837_<23> · 17487079185168694942727_<23>

2·10⁵⁵-7 =

19999999999999999999999999999999999999999999999999999993_<56>

= 13 · 67 · 7759699049_<10> · 62740984027399_<14> · 47164543662706357741988141633_<29>

2·10⁵⁶-7 =

199999999999999999999999999999999999999999999999999999993_<57>

= 31 · 311 · 1223 · 73161949661_<11> · 231844173187091340053838446622292382291_<39>

2·10⁵⁷-7 =

1999999999999999999999999999999999999999999999999999999993_<58>

= 23 · 449 · 138181 · 1401546423015370688843115208068322657909567287139_<49>

2·10⁵⁸-7 =

19999999999999999999999999999999999999999999999999999999993_<59>

= 51197 · 1169627 · 11336795257_<11> · 37915346681_<11> · 978880078019_<12> · 793785703346989_<15>

2·10⁵⁹-7 =

199999999999999999999999999999999999999999999999999999999993_<60>

= 55797743 · 1086154177_<10> · 4159426859767_<13> · 107744249276441_<15> · 7363669622653129_<16>

2·10⁶⁰-7 =

1999999999999999999999999999999999999999999999999999999999993_<61>

= 1723 · 1160766105629715612304120719674985490423679628554846198491_<58>

2·10⁶¹-7 =

19999999999999999999999999999999999999999999999999999999999993_<62>

= 13 · 13837748592953_<14> · 239978273036984901007_<21> · 463286114349866817612216491_<27>

2·10⁶²-7 =

199999999999999999999999999999999999999999999999999999999999993_<63>

= 181 · 839 · 2519345707_<10> · 380082979496658807194921_<24> · 1375381796929438810472641_<25>

2·10⁶³-7 =

1999999999999999999999999999999999999999999999999999999999999993_<64>

= 17 · 97 · 4001 · 303138284561667345443808847666797672928644733904455966057_<57>

2·10⁶⁴-7 =

19999999999999999999999999999999999999999999999999999999999999993_<65>

= 4800571651090609_<16> · 3209688485991065056339_<22> · 1297998394247778069490950643_<28>

2·10⁶⁵-7 =

199999999999999999999999999999999999999999999999999999999999999993_<66>

= 29 · 66468540181_<11> · 103756629908795665152126753922302381133647017344719257_<54>

2·10⁶⁶-7 =

1999999999999999999999999999999999999999999999999999999999999999993_<67>

= 16067 · 2063501079919_<13> · 6210803600511223789_<19> · 9712761069592912353140239337969_<31>

2·10⁶⁷-7 =

19999999999999999999999999999999999999999999999999999999999999999993_<68>

= 13 · 19 · 347 · 31513843 · 46481145077_<11> · 1931217153391151_<16> · 82488664392429670874141785757_<29>

2·10⁶⁸-7 =

199999999999999999999999999999999999999999999999999999999999999999993_<69>

= 43 · 569 · 448667 · 179974897476082336759_<21> · 101230926348508315776958916241515398543_<39>

2·10⁶⁹-7 =

1999999999999999999999999999999999999999999999999999999999999999999993_<70>

= 149 · 138731 · 96754285573853779795663656753722463911739966665245991240157247_<62>

2·10⁷⁰-7 =

19999999999999999999999999999999999999999999999999999999999999999999993_<71>

= 205171 · 403028728699_<12> · 5196772968961478969033_<22> · 46541917455697825452266829428849_<32>

2·10⁷¹-7 =

199999999999999999999999999999999999999999999999999999999999999999999993_<72>

= 31 · 28563576011_<11> · 184769137331549_<15> · 1222436454997462715380851481327065398310601177_<46>

2·10⁷²-7 =

1999999999999999999999999999999999999999999999999999999999999999999999993_<73>

= 8389 · 1979874160213757_<16> · 120415450185144944447015050651629578269991888169463241_<54>

2·10⁷³-7 =

19999999999999999999999999999999999999999999999999999999999999999999999993_<74>

= 13² · 2423 · 4177 · 302229901289_<12> · 5278588902221617_<16> · 40954868886989507_<17> · 178963552487045908277_<21>

2·10⁷⁴-7 =

199999999999999999999999999999999999999999999999999999999999999999999999993_<75>

= 99193367451504591449_<20> · 2016263840400211623895282333747373490637583326845482657_<55>

2·10⁷⁵-7 =

1999999999999999999999999999999999999999999999999999999999999999999999999993_<76>

= 8849 · 59385310320013_<14> · 10361199952159009571957_<23> · 367321809825673190371530366758115577_<36>

2·10⁷⁶-7 =

19999999999999999999999999999999999999999999999999999999999999999999999999993_<77>

= 499 · 4079 · 9825977033743879030431542172356480551198007684896638091087789700509133_<70>

2·10⁷⁷-7 =

199999999999999999999999999999999999999999999999999999999999999999999999999993_<78>

= 59 · 593 · 2568902239072704920989829_<25> · 2225234135013198218408976924739964526754998274991_<49>

2·10⁷⁸-7 =

1999999999999999999999999999999999999999999999999999999999999999999999999999993_<79>

= 14319031 · 1299531836207022577165951926563_<31> · 107480441801495541935408987337937770766181_<42>

2·10⁷⁹-7 =

19999999999999999999999999999999999999999999999999999999999999999999999999999993_<80>

= 13 · 17 · 23 · 38921 · 50077 · 2018773487323708397729762512010012421349432931027272014356778656063_<67>

2·10⁸⁰-7 =

199999999999999999999999999999999999999999999999999999999999999999999999999999993_<81>

= 62993136696825613669_<20> · 102592076684005216955148944389_<30> · 30947312505666226393648531337473_<32>

2·10⁸¹-7 =

1999999999999999999999999999999999999999999999999999999999999999999999999999999993_<82>

= 7723 · 2551665170547341_<16> · 34575395983329773569_<20> · 2935304176263322687941425774336903446769879_<43>

2·10⁸²-7 =

19999999999999999999999999999999999999999999999999999999999999999999999999999999993_<83>

= definitely prime number

2·10⁸³-7 =

199999999999999999999999999999999999999999999999999999999999999999999999999999999993_<84>

= 1613 · 514024781 · 1254505159_<10> · 192282216577164757871280595661953469694403772059243755713816359_<63>

2·10⁸⁴-7 =

1999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<85>

= 24608408490121_<14> · 87007085632962855588872569_<26> · 934096718674609800511446423601155904626918457_<45>

2·10⁸⁵-7 =

19999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<86>

= 13 · 19 · 131² · 7951 · 9973 · 59503550267393000718874778785827702559740414584511289882831854288561973_<71>

2·10⁸⁶-7 =

199999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<87>

= 31 · 269 · 11131 · 12170131 · 91049244281584572288033572869160999_<35> · 1944510267148908500377526352238332133_<37>

2·10⁸⁷-7 =

1999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<88>

= 107 · 9071068898043051649_<19> · 1683810587581360957969493_<25> · 1223755104742012422652149843812561731543807_<43>

2·10⁸⁸-7 =

19999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<89>

= 67 · 2597909 · 1124474096321_<13> · 1892646585220527682785364373_<28> · 53989869485252679629475976943443771123307_<41>

2·10⁸⁹-7 =

199999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<90>

= 43 · 449 · 14920068221_<11> · 548402366521_<12> · 23991667984671088612631697253513_<32> · 52769700249246093169246765951303_<32>

2·10⁹⁰-7 =

1999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<91>

= 63373800942281_<14> · 31558782497858087555674165032738956773709373152822746248213454810776339551153_<77>

2·10⁹¹-7 =

19999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<92>

= 13 · 2169796550879649778507707744167601704988667_<43> · 709034926725197367140441293570392144363010637383_<48> (Makoto Kamada / GGNFS 0.54.1-k1 / 0.21 hours)

2·10⁹²-7 =

199999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<93>

= 1567 · 5125903397_<10> · 2355159393161644327_<19> · 1741239126297957693925161111229_<31> · 6071721736522523407197574175729_<31>

2·10⁹³-7 =

1999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<94>

= 29 · 41018796821_<11> · 12568015775520204714571_<23> · 98988881578246142093031285079_<29> · 1351437438360830648162572453453_<31>

2·10⁹⁴-7 =

19999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<95>

= 4153 · 7142338848162559_<16> · 674260338613948380045275496406430086695043247208035864460864173913405181759_<75>

2·10⁹⁵-7 =

199999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<96>

= 17 · 1693 · 44741 · 584203 · 50225418203_<11> · 1978638904462609_<16> · 13199652759020524845751_<23> · 202675864687676094763762469011943_<33>

2·10⁹⁶-7 =

1999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<97>

= 61 · 1559 · 4561 · 18958937 · 20790974125423_<14> · 11697825858067245376502041238481466095951628975464867400231487697037_<68>

2·10⁹⁷-7 =

19999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<98>

= 13 · 6671309 · 93784608383_<11> · 68426892338850109_<17> · 35934962899509359252682618928308945958702231360421705906298907_<62>

2·10⁹⁸-7 =

199999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<99>

= 2677 · 104677 · 284093 · 437785273 · 7378121133983_<13> · 194786817290159_<15> · 3993036991304348572159282909970579986022589299549_<49>

2·10⁹⁹-7 =

1999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<100>

= 20859069935591_<14> · 94071964066060573_<17> · 1019236209365667062370786192292895721285075141580159510561316454649451_<70>

2·10¹⁰⁰-7 =

19999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<101>

= 47 · 2693 · 5068439 · 345563949005939276661116437_<27> · 90217986860562407076830116951480794287767716511624892678313881_<62> (Makoto Kamada / GGNFS 0.54.1-k1 / 0.55 hours)

2·10¹⁰¹-7 =

1(9)₁₀₀3_<102>

= 23 · 31 · 40817008110892419885360745295659_<32> · 6872255508630705731993785461808742826606432539570772235049035346579_<67> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / 0.58 hours on Cygwin on AMD XP 2700+ / Aug 18, 2007)

2·10¹⁰²-7 =

1(9)₁₀₁3_<103>

= 754377913 · 17569036382067671041_<20> · 150901337468871212305910478200649431862776885393934911824002742511375488321_<75>

2·10¹⁰³-7 =

1(9)₁₀₂3_<104>

= 13 · 19 · 109 · 27271 · 45843061261_<11> · 1499785301098546070559433483576047617_<37> · 396189332056518295199839376172030596884900883633_<48> (Robert Backstrom / Msieve v. 1.25 for P37 x P48 / 23.15 minutes / Aug 18, 2007)

2·10¹⁰⁴-7 =

1(9)₁₀₃3_<105>

= 450133363 · 26210111436324424372537_<23> · 16951960238891106285996014320600431953988753994956664146366905164973918203_<74>

2·10¹⁰⁵-7 =

1(9)₁₀₄3_<106>

= 249871 · 19798132157_<11> · 3163117297741861192762916686673115456869_<40> · 127812881122780074917861322196995275825625504898951_<51> (Robert Backstrom / Msieve v. 1.25 for P40 x P51 / 1.3 hours / Aug 18, 2007)

2·10¹⁰⁶-7 =

1(9)₁₀₅3_<107>

= 2057147 · 463223941 · 20988126437934572100650547240170911986268053432721891812141627052270619398535539962548072159_<92>

2·10¹⁰⁷-7 =

1(9)₁₀₆3_<108>

= 82054863816299707259814398629080646350578566200027409_<53> · 2437393601039298755451892933667568529233231518271465577_<55> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / 0.81 hours on Cygwin on AMD 64 3200+ / Aug 18, 2007)

2·10¹⁰⁸-7 =

1(9)₁₀₇3_<109>

= 383 · 10287532817801_<14> · 507598100279860370829957319017159200027537506053821866464990762062445311901786859913023017871_<93>

2·10¹⁰⁹-7 =

1(9)₁₀₈3_<110>

= 13 · 9533 · 117617652727_<12> · 32407405518947_<14> · 253751673013933_<15> · 166851979909646349546024558901926430803956994323790908730779109121_<66>

2·10¹¹⁰-7 =

1(9)₁₀₉3_<111>

= 43 · 2509654211_<10> · 1931986832489347_<16> · 959275805431305450241056654440200951385478670400365360106928139429946739919843802003_<84>

2·10¹¹¹-7 =

1(9)₁₁₀3_<112>

= 17 · 157 · 439 · 5930190964349_<13> · 2686413178267993_<16> · 2274951685247824724863_<22> · 47098083569034218414375212879774473362528057732894787553_<56>

2·10¹¹²-7 =

1(9)₁₁₁3_<113>

= 4933 · 436546025833_<12> · 107910677472821_<15> · 244947452135599_<15> · 351359334449242268907513378628455296054937932244971512323571086623303_<69>

2·10¹¹³-7 =

1(9)₁₁₂3_<114>

= 433 · 193594939 · 6438265937_<10> · 103768776474506761548880707440030104142231_<42> · 3571186177883878701163022523856197962069162111081437_<52> (Sinkiti Sibata / GGNFS-0.77.1-20060722-pentium4 snfs / 1.84 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Aug 18, 2007)

2·10¹¹⁴-7 =

1(9)₁₁₃3_<115>

= 223 · 349 · 401 · 87913919539791743_<17> · 55632596705348452969_<20> · 678785125841080499365885889789_<30> · 19303499176809380687282983046612803713593_<41> (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=738349150 for P30 / Aug 11, 2007)

2·10¹¹⁵-7 =

1(9)₁₁₄3_<116>

= 13 · 7727749272363769292153_<22> · 199082745083802748961580242093329249137660270422339965290780770420651472692583128645150029637_<93>

2·10¹¹⁶-7 =

1(9)₁₁₅3_<117>

= 31 · 15287 · 57388723099_<11> · 7056481988900947_<16> · 53770152002195367607766769002285035703_<38> · 19381615468650712446069311543584612837099830391_<47> (Robert Backstrom / Msieve v. 1.25 for P38 x P47 / 31.2 minutes / Aug 18, 2007)

2·10¹¹⁷-7 =

1(9)₁₁₆3_<118>

= 199 · 1279 · 293763817948763_<15> · 24049592745348234991_<20> · 2844998987702608844764526103674599_<34> · 390947309073851222871845565805012609316881499_<45> (Makoto Kamada / Msieve 1.26 for P34 x P45 / 12 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / Aug 17, 2007)

2·10¹¹⁸-7 =

1(9)₁₁₇3_<119>

= 7603 · 15467 · 36691 · 560783 · 44963591969_<11> · 228255834357666971162546058313791223921_<39> · 805381494221740368380247875416367103097200384770669_<51> (Robert Backstrom / Msieve v. 1.25 for P39 x P51 / 1.22 hours / Aug 18, 2007)

2·10¹¹⁹-7 =

1(9)₁₁₈3_<120>

= 3329 · 9601 · 37117 · 4643453 · 3737042927_<10> · 9715333723167523461028173291357869258950428467850963095097444942905475932461446867274771871_<91>

2·10¹²⁰-7 =

1(9)₁₁₉3_<121>

= 1612634484547_<13> · 13953893991747473843_<20> · 1741667320530491745304201_<25> · 827419003560831791460803192987_<30> · 61674826936885885970729973310901659_<35> (Makoto Kamada / Msieve 1.26 for P30 x P35 / 35 seconds on Pentium 4 3.06GHz, Windows XP and Cygwin / Aug 17, 2007)

2·10¹²¹-7 =

1(9)₁₂₀3_<122>

= 13 · 19² · 29 · 67 · 449 · 105683783 · 560286053 · 84709044758553106779503153611219_<32> · 973895486213706256874024049169829152280917871863189669742989003_<63> (Sinkiti Sibata / GGNFS-0.77.1-20060722-pentium4 snfs / 2.15 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Aug 18, 2007)

2·10¹²²-7 =

1(9)₁₂₁3_<123>

= definitely prime number

2·10¹²³-7 =

1(9)₁₂₂3_<124>

= 23² · 1901 · 2066521 · 53702948292907_<14> · 9865966209767263_<16> · 71002632147797699_<17> · 25582335027864441645890689621535816313861898308916738571990501803_<65>

2·10¹²⁴-7 =

1(9)₁₂₃3_<125>

= 1237 · 75739987021613441981_<20> · 22558396289653158268549_<23> · 30235527906754154539453_<23> · 312974743516419780327444462580999969227258311974717645577_<57>

2·10¹²⁵-7 =

1(9)₁₂₄3_<126>

= 165168634578001888654519_<24> · 1210883655428832572540661468254176201720557233527728498589984267426032150685696194736029406246152970447_<103>

2·10¹²⁶-7 =

1(9)₁₂₅3_<127>

= 163 · 2075421732715501633_<19> · 5912021858927266533924640372035533659267984949341407619124044233483021470152077444181868324318074227054067_<106>

2·10¹²⁷-7 =

1(9)₁₂₆3_<128>

= 13 · 17 · 24103 · 6730177 · 94316333 · 51803508177079056623_<20> · 90156356392017166579_<20> · 1266478159617222410568320386489185143728549629581477254952005916963_<67>

2·10¹²⁸-7 =

1(9)₁₂₇3_<129>

= 179 · 2141 · 2199859 · 6588973 · 5693316319_<10> · 177072611648613262411_<21> · 9638041289150507104245734353393_<31> · 3705460899359480965894476989489934602337872009893_<49> (Makoto Kamada / Msieve 1.26 for P31 x P49 / 17 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / Aug 17, 2007)

2·10¹²⁹-7 =

1(9)₁₂₈3_<130>

= 83639 · 3574169 · 129553992197347_<15> · 261030882891310001_<18> · 1486751042568008988903546205849_<31> · 133065397594874242418254943012440252718810034095919697541_<57> (Robert Backstrom / Msieve v. 1.25 for P31 x P57 / 44.45 minutes / Aug 18, 2007)

2·10¹³⁰-7 =

1(9)₁₂₉3_<131>

= definitely prime number

2·10¹³¹-7 =

1(9)₁₃₀3_<132>

= 31 · 43 · 547 · 17191 · 336512056301210231838855734796868432039_<39> · 47414453712323773154974881733917128690695953514154501437581484178811965886517575607_<83> (Sinkiti Sibata / GGNFS-0.77.1-20060722-pentium4 snfs / 4.50 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Aug 18, 2007)

2·10¹³²-7 =

1(9)₁₃₁3_<133>

= 113 · 96910843004522017_<17> · 182632969598891201651530364167093502463825371503560683347399958938846116566884483816068755087434286400403034726633_<114>

2·10¹³³-7 =

1(9)₁₃₂3_<134>

= 13 · 8369 · 12491 · 256363 · 23413869901_<11> · 2498095785529_<13> · 4206989836184363_<16> · 233295720151692482054315853848283013458362092712529745856574990403930760186551859_<81>

2·10¹³⁴-7 =

1(9)₁₃₃3_<135>

= 2857 · 27927023 · 53144573565322907925832295743438999653609663807679_<50> · 47166775363319527326178169171770117349576735102560712103900237618601981697_<74> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / 4.42 hours on Cygwin on AMD 64 3200+ / Aug 19, 2007)

2·10¹³⁵-7 =

1(9)₁₃₄3_<136>

= 59 · 11961402170071789_<17> · 3728219826744931882487_<22> · 17961831456506031402449_<23> · 42319815221256452785251590748815628863806445847929840602393773320844439361_<74>

2·10¹³⁶-7 =

1(9)₁₃₅3_<137>

= 10313581 · 1238634939757_<13> · 1565586923926093270009080464926344290000908750262257113653221576209837780946963430512262373065214952479869742276230929_<118>

2·10¹³⁷-7 =

1(9)₁₃₆3_<138>

= 748003 · 33310522579_<11> · 2390131300820543368485406409_<28> · 3358330630726815585866665148198037542537791667019952702420547131059345414855706436951109119321_<94> (JMB / GMP-ECM B1=1000000, sigma=1132383337 for P28 / Aug 18, 2007)

2·10¹³⁸-7 =

1(9)₁₃₇3_<139>

= 658279 · 20210881938782879485293912186383278080876647_<44> · 150326217455104768578918165545438708371606106048971235069662906160218582347415312161469961_<90> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / 6.57 hours on Cygwin on AMD 64 3200+ / Aug 19, 2007)

2·10¹³⁹-7 =

1(9)₁₃₈3_<140>

= 13 · 19 · 1615266371_<10> · 50128982669836280570328087341223016201190794133748693069876126281978008245781562129128447063404912500978663711046615926252289989_<128>

2·10¹⁴⁰-7 =

1(9)₁₃₉3_<141>

= 107 · 4714823806387_<13> · 397193297595629_<15> · 12697513338376374603581_<23> · 78606807990532772667474362080562709154103341010601231789893016605130785929620611510756273_<89>

2·10¹⁴¹-7 =

1(9)₁₄₀3_<142>

= 683 · 655920743 · 33288172475610100603_<20> · 134112103288196833720208136909501775573256592141312090312010324478404085266453805915834636686637182699579723399_<111>

2·10¹⁴²-7 =

1(9)₁₄₁3_<143>

= 3967 · 4673 · 766369 · 1407777712037398191486334558484748027029761901411084179955398364600765298056680579957269354985327154322524797193202410400319300967_<130>

2·10¹⁴³-7 =

1(9)₁₄₂3_<144>

= 17 · 18470702189_<11> · 228301394273106235780597543_<27> · 22707141235023433297394936623127_<32> · 122864563822659007223378498802742451249014598526543766623843802022535717101_<75> (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=2721225050 for P32 / Aug 12, 2007)

2·10¹⁴⁴-7 =

1(9)₁₄₃3_<145>

= 109583 · 18251006086710529917961727640236168018762034257138424755664656014162780723287371216338300648823266382559338583539417610395773066990317841271_<140>

2·10¹⁴⁵-7 =

1(9)₁₄₄3_<146>

= 13 · 23 · 66889632107023411371237458193979933110367892976588628762541806020066889632107023411371237458193979933110367892976588628762541806020066889632107_<143>

2·10¹⁴⁶-7 =

1(9)₁₄₅3_<147>

= 31² · 47 · 435789728193384491010265428807562407041323_<42> · 7824864009218661541825600129317326360954459_<43> · 1298538893538002080810765152446905474596595362243224337247_<58> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / 8.67 hours on Cygwin on AMD XP 2700+ / Aug 19, 2007)

2·10¹⁴⁷-7 =

1(9)₁₄₆3_<148>

= 257 · 743 · 391695274303_<12> · 522269290787574364079_<21> · 390407817010847095598395909_<27> · 131143488369150956117405221359726620382294733613082574937634241856250235881858308771_<84>

2·10¹⁴⁸-7 =

1(9)₁₄₇3_<149>

= 727 · 55259 · 689461 · 71275313 · 116574430973904193855146706732208499099941411897_<48> · 86904130976575581951526367276706846060506184025707483584177277127705512595780481_<80> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / 17.29 hours on Cygwin on AMD XP 2700+ / Aug 20, 2007)

2·10¹⁴⁹-7 =

1(9)₁₄₈3_<150>

= 29 · 108949 · 8721993746773_<13> · 12217002739326393689_<20> · 178416584056560249225100104637_<30> · 8179150902611192175056182508267_<31> · 407084780721940591874246317159290533910006635665091_<51> (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=3751227348 for P30 / Aug 12, 2007) (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=276345269 for P31 / Aug 12, 2007)

2·10¹⁵⁰-7 =

1(9)₁₄₉3_<151>

= 11952940053651615413333135761471_<32> · 5135103254216728139255928526842762174060283210192549973_<55> · 32584125786762908430335253253731098461829476256546485262340435371_<65> (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=3165284130 for P32 / Aug 12, 2007) (Sinkiti Sibata / GGNFS-0.77.1-20060722-pentium4 snfs / 32.39 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Aug 20, 2007)

2·10¹⁵¹-7 =

1(9)₁₅₀3_<152>

= 13³ · 137867 · 4224067859430198256241_<22> · 15631790533137119663544037514619281894548338951219182923056028287046339422175932739272100689010023394450055608937618634127_<122>

2·10¹⁵²-7 =

1(9)₁₅₁3_<153>

= 43 · 204334865038223_<15> · 16693847621802210188347_<23> · 327984025003795812551523975755537204514529776773084171_<54> · 4157286246714744149068820102379243249246807718475885348533501_<61> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 15.90 hours on Core 2 Quad Q6600 / Sep 13, 2007)

2·10¹⁵³-7 =

1(9)₁₅₂3_<154>

= 449 · 677 · 3762028438491263860353713420746250519837842493_<46> · 1748931950489219682449972965472311190393808085080580038420592920946818270596715052250792592387757778537_<103> (Robert Backstrom / GGNFS-0.77.1-20060513-athlon-xp snfs / 26.79 hours on Cygwin on AMD 64 3200+ / Aug 20, 2007)

2·10¹⁵⁴-7 =

1(9)₁₅₃3_<155>

= 67² · 229 · 55049 · 50009407956250793_<17> · 61602475925415368717517641_<26> · 351490277394110695323131847836679690401_<39> · 326386567160734215007637212280611893892518870849999885489152869_<63> (Sinkiti Sibata / GGNFS-0.77.1-20060722-pentium4 gnfs for P39 x P63 / 12.31 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Aug 20, 2007)

2·10¹⁵⁵-7 =

1(9)₁₅₄3_<156>

= 4339 · 5303 · 1439617218001_<13> · 961207979097509279_<18> · 80965371749079875135193964006734647_<35> · 77580934154601854923447083339687231799885525920119624203485250965115554274629179933_<83> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 16.76 hours on Core 2 Quad Q6600 / Sep 17, 2007)

2·10¹⁵⁶-7 =

1(9)₁₅₅3_<157>

= 61 · 379561891 · 591755936832544670700889_<24> · 2996976568019324627915945752938287251955921580343264766897_<58> · 48707023203560580789797226764686962335766992120048448009260900471_<65> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 16.84 hours on Core 2 Quad Q6600 / Sep 19, 2007)

2·10¹⁵⁷-7 =

1(9)₁₅₆3_<158>

= 13 · 19 · 34394983393086726911525485365768764383612514728573_<50> · 2354170635689371043056236203816500880637102917069176450408667904943221662630923232028232978839918295665403_<106> (Robert Backstrom / GGNFS-0.77.1-20060513-athlon-xp snfs / 31.86 hours on Cygwin on AMD 64 3200+ / Aug 19, 2007)

2·10¹⁵⁸-7 =

1(9)₁₅₇3_<159>

= 953 · 25057 · 2414090848213589432916932990633_<31> · 31571248495465350553236417278124057355578453451578557_<53> · 109891134207565565423460471928953710097707635400211726467910976480493_<69> (JMB / GMP-ECM B1=1000000, sigma=2790418531 for P31 / Aug 18, 2007) (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 34.21 hours on Core 2 Quad Q6600 / Oct 1, 2007)

2·10¹⁵⁹-7 =

1(9)₁₅₈3_<160>

= 17 · 97 · 1747 · 634649251 · 2054299447149250297_<19> · 148755245875612245393010321_<27> · 3579699934594358473780712482108418449708789433457591275026055921063522065110954977534132123453806313_<100>

2·10¹⁶⁰-7 =

1(9)₁₅₉3_<161>

= 9778720056013703211871_<22> · 3697455345403613029511363255055491_<34> · 88983955588580213717636993253398599_<35> · 6216319634016996326346051640131835569522780364047133332828651637579787_<70> (JMB / GMP-ECM B1=1000000, sigma=1044781805 for P34 / Aug 19, 2007) (Sinkiti Sibata / GGNFS-0.77.1-20060722-pentium4 snfs / 66.09 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Aug 23, 2007)

2·10¹⁶¹-7 =

1(9)₁₆₀3_<162>

= 31 · 313 · 142448923 · 17325841849_<11> · 15585783388091791295501248633_<29> · 266553003634306871217586370997016387_<36> · 2010287774860919418202526881731198334032989116402867831616415928274528790943_<76> (Sinkiti Sibata / GGNFS-0.77.1-20060722-pentium4 gnfs for P36 x P76 / 40.17 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Aug 25, 2007)

2·10¹⁶²-7 =

1(9)₁₆₁3_<163>

= 295873 · 4257253215102693503_<19> · 1587797735643967851996922354673956638588050272861836975524878046750608199710403993510074840554538930662715515268938946398099780254929848647_<139>

2·10¹⁶³-7 =

1(9)₁₆₂3_<164>

= 13 · 201757487 · 164834767007237_<15> · 129162229318541414865248023_<27> · 2870602702071050972528733922531425863733789921251_<49> · 124766945602396491462945015979925208408928505160969226719559459403_<66> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona gnfs for P49 x P66 / 21.80 hours on Core 2 Quad Q6600 / Sep 16, 2007)

2·10¹⁶⁴-7 =

1(9)₁₆₃3_<165>

= 293 · 3809415392261_<13> · 4410893217380666509_<19> · 676677033748151222836658526167_<30> · 60033831512034509037025711389917769139843957491414747524349277078754656354898546453859546428217503747_<101> (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=3873787560 for P30 / Aug 13, 2007)

2·10¹⁶⁵-7 =

1(9)₁₆₄3_<166>

= 59797 · 246613 · 23678089 · 41577973901_<11> · 34612991488332463201_<20> · 336810499334585532769_<21> · 8373248538781344557355140845393442753439917323_<46> · 1411256395841790563687916889769452582264264863948791_<52> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona gnfs for P46 x P52 / 2.74 hours on Core 2 Quad Q6600 / Aug 24, 2007)

2·10¹⁶⁶-7 =

1(9)₁₆₅3_<167>

= 1033 · 41203 · 692077355735784149_<18> · 678963137729462657410685657192978487461888575468720960519435213449754200840707195568236829383038526395604243924830547951457240268495612424543_<141>

2·10¹⁶⁷-7 =

1(9)₁₆₆3_<168>

= 23 · 817671420061668453239381786225641_<33> · 10634653432374120218546314263462036182748850386624188463030773029103326239415114946154180410545538376172609896000131661254182519321751_<134> (Robert Backstrom / GGNFS-0.77.1-20060513-athlon-xp snfs / 93.38 hours on Cygwin on AMD 64 3200+ / Sep 27, 2007)

2·10¹⁶⁸-7 =

1(9)₁₆₇3_<169>

= 8002843 · 679331923056720559092781_<24> · 1743135735135318112931632042583008770405177795897939247_<55> · 211043737325077621766641712794419286115201489247799793695341755432378145694998105193_<84> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs, Msieve 1.36 / 53.77 hours on Cygwin on AMD 64 X2 6000+ / Jul 16, 2008)

2·10¹⁶⁹-7 =

1(9)₁₆₈3_<170>

= 13 · 443 · 15077 · 1825739 · 39504457 · 1949984837_<10> · 1637766406035841923061103686434301527772654718109886968037754032192230773053883334572322866141867180256790299413505934169213134132607507701_<139>

2·10¹⁷⁰-7 =

1(9)₁₆₉3_<171>

= 12830114637211177323355529618441346334457779697621_<50> · 21211698624128416961087313467823336589027450130654173021_<56> · 734892831044394689750114258247584690226884187718469681813063218073_<66> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 75.19 hours on Core 2 Quad Q6600 / Aug 28, 2007)

2·10¹⁷¹-7 =

1(9)₁₇₀3_<172>

= 69542053866301_<14> · 2207526515260409521358128631916321637_<37> · 13027964122020918758541442567091441481729149610702735659626025690125388966404642417856907478360011684956625601358894013289_<122> (Robert Backstrom / GMP-ECM 6.2.1 B1=990000, sigma=38349962 for P37 / Sep 30, 2008)

2·10¹⁷²-7 =

1(9)₁₇₁3_<173>

= 6719 · 38237 · 3949391 · 197016191436800221_<18> · 100048248952355495152474670116547144719616987756281749923359264276401125197245775021877924918720295715153237108728265119172764087420438281921_<141>

2·10¹⁷³-7 =

1(9)₁₇₂3_<174>

= 43 · 1250710471_<10> · 1514098239145919982490997_<25> · [2456126324807748212332019614370378517852379043597597851348467155096655081527062856512150701741207498270226872073646643658904176169684130473_<139>] SUBMIT/RESERVE

2·10¹⁷⁴-7 =

1(9)₁₇₃3_<175>

= 45162104857_<11> · 15567016412456914292718994439665667659340737216997_<50> · 2844791473480904522073711775181098198268760967308959673803332033658988249807406032658488263343289877533029503274317_<115> (matsui / GGNFS-0.77.1-20060513-pentium4 snfs / 243.25 hours / Jun 17, 2008)

2·10¹⁷⁵-7 =

1(9)₁₇₄3_<176>

= 13 · 17 · 19 · 263 · 1061 · 2381 · 13441 · 4860859 · 226155589725368669_<18> · 39446498300985945769793398333109_<32> · 938415519872263667316969095279317859_<36> · 13106840786581520901091016381324397299535250533490063320445846306169_<68> (Serge Batalov / GMP-ECM 6.2.1 B1=1000000, sigma=3920449534 for P36, B1=1000000, sigma=23067176 for P32 / Aug 6, 2008)

2·10¹⁷⁶-7 =

1(9)₁₇₅3_<177>

= 31 · 167 · 84349 · 762539 · 5303471 · 337158791033264179423030381537184109066737553257391166972636621_<63> · 335903976890265082828384698860438605538743727883895495015727111914842671618296153307348566709_<93> (Serge Batalov / Msieve-1.38 snfs / 60.00 hours on Opteron-2.6GHz; Linux x86_64 / Oct 11, 2008)

2·10¹⁷⁷-7 =

1(9)₁₇₆3_<178>

= 29 · 479 · 33052481065539000156012288524293_<32> · 4356045618511345699935803519008679131931227797613200925191035353279184874180578875926576944463882038583522121925336915254241598406087102573111_<142> (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=2065128763 for P32 / Aug 15, 2007)

2·10¹⁷⁸-7 =

1(9)₁₇₇3_<179>

= 43351031 · 2463944288063_<13> · 187240452175519285137480908249758943184694743376955956025151384535709077334319019375211131284977012793840344216514584436654607197258954512966218466506902133681_<159>

2·10¹⁷⁹-7 =

1(9)₁₇₈3_<180>

= 11345966389210162823753_<23> · [17627409877592875862755524431702712573753331020172675894845785641634614363837978977696105759851351011013286051608580734849417557610867221197188017549842092081_<158>] SUBMIT/RESERVE

2·10¹⁸⁰-7 =

1(9)₁₇₉3_<181>

= 434102901389_<12> · 4607202563264598415779928677006486405960407963459800288720341188615524312353215631919029997874852559040333053506386132595819244295320463590084000990026379977773376337437_<169>

2·10¹⁸¹-7 =

1(9)₁₈₀3_<182>

= 13 · 25943 · 83653 · [708899919882601571089161301978235377557231778772451315886574271335240565026714654049827899857814408300820057054245509628006547443753610724808397215530903964993359076768559_<171>] SUBMIT/RESERVE

2·10¹⁸²-7 =

1(9)₁₈₁3_<183>

= 78697310957_<11> · 210753864072825415151_<21> · [12058535234138178255644007171516746691580450209158125965560083061338939966528353799260074047004248388399442871136659897510190430213060887947932697908499_<152>] SUBMIT/RESERVE

2·10¹⁸³-7 =

1(9)₁₈₂3_<184>

= 811 · 2624277319_<10> · 2755493291_<10> · 101591439292081_<15> · 16322026806562391_<17> · 6162314909610575169723533703783208734587_<40> · 2296936960460684436839110679001518570233133723_<46> · 14530343872204972792659597373865720056086160057_<47> (Robert Backstrom / GMP-ECM 6.2.1 B1=4080000, sigma=3272438450 for P40, Msieve v. 1.36 for P46 x P47 / 1.24 hours / Jul 26, 2008)

2·10¹⁸⁴-7 =

1(9)₁₈₃3_<185>

= 280009 · 632904603733_<12> · 13233220466211157_<17> · 8528137667029729926901914382130170705565152344920244120131396023894967075926978409235213124947201921250620099832410940247774726822828736679137633391417_<151>

2·10¹⁸⁵-7 =

1(9)₁₈₄3_<186>

= 449 · 997793 · 1546333609_<10> · 3189042656399_<13> · 2373471436483366673_<19> · 38141315571249794220796510204358690061656962379417820079548708887444336138795773645441671589771855580586555698222711950621198150820201743_<137>

2·10¹⁸⁶-7 =

1(9)₁₈₅3_<187>

= 104207 · 70415806969873_<14> · 272560515363191395824791506202205199222427524406848135211759341596752368261974741468507635187780688885659810754580125451879840238063293536493823224116692569011913568263_<168>

2·10¹⁸⁷-7 =

1(9)₁₈₆3_<188>

= 13 · 67 · 195174169 · 15756276416074852403_<20> · 7466823928975235055739813097331207672264389893453490358096543643190621791446429460377106436541738964274243987747227996322777639271584787422631526731011364269_<157>

2·10¹⁸⁸-7 =

1(9)₁₈₇3_<189>

= 1053908083_<10> · 39976478087318775733_<20> · 4747038237777385196722326719361187184981071621031767204700395933051930856214894694847973331484509531920230013328025798071633949740232094248596917726801470476087_<160>

2·10¹⁸⁹-7 =

1(9)₁₈₈3_<190>

= 23 · 157 · 1657 · 334256605787953960163631978797434981658504398900496320921104243437748968943717371332515630256707401962119701635868541556536078738823085833586671985803453438974019403930222596515341459_<183>

2·10¹⁹⁰-7 =

1(9)₁₈₉3_<191>

= 23117 · 109469 · 109607066896757_<15> · [72105570232578015800348837022542093413045708242232442481589975197900227356791743831862438678946684807461249296020162303745378761071936300339106974045918517367661542813_<167>] SUBMIT/RESERVE

2·10¹⁹¹-7 =

1(9)₁₉₀3_<192>

= 17 · 31 · 389 · 128310718329815993931447087546082492234669614032972499261568404331467602141_<75> · 7603382568421390295289669853703818922067601220779471394301400646577106498502213407372609170471837455808074363591_<112> (Wataru Sakai / Msieve / 339.94 hours / Apr 20, 2009)

2·10¹⁹²-7 =

1(9)₁₉₁3_<193>

= 47 · 4973 · 14307167621_<11> · 252778876181603_<15> · 255209741776071592297_<21> · 8010689782466906790070784539_<28> · 1157316307058782100251640750432246209257840742262489843072055000717012814491437080981115392396246552777654513312207_<115>

2·10¹⁹³-7 =

1(9)₁₉₂3_<194>

= 13 · 19 · 59 · 107 · 5988949810510825396976938071071359_<34> · [2141640541578786521330418665807384878608009014861807243660439094425838336861612412560917549794060720323430428012100399379490077809110556314251517234498057_<154>] (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=1667258712 for P34 / May 16, 2008) SUBMIT/RESERVE

2·10¹⁹⁴-7 =

1(9)₁₉₃3_<195>

= 43 · 193 · 72766711 · 1895782376707937_<16> · [174696017165826908137709520686202437975145481804656654437923132291679707627057864554542163389921457889949986112360401386750325009899900629612972179026213921585311394701_<168>] SUBMIT/RESERVE

2·10¹⁹⁵-7 =

1(9)₁₉₄3_<196>

= 138488872329169049102015431_<27> · [14441593511183154097796427386871518573996533495339778860294257459571274289779472192913897779783461433874919177539864463108001739684533571564870043975452334385773708592703_<170>] SUBMIT/RESERVE

2·10¹⁹⁶-7 =

1(9)₁₉₅3_<197>

= 2223207383_<10> · 326343496010216320121443477529_<30> · [27566082906082870386631523611632981845860877521061145417596899084273799164594045748910237258449880564926976682918679741765283878316336218171655121201165473799_<158>] (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=3510189749 for P30 / Aug 16, 2007) SUBMIT/RESERVE

2·10¹⁹⁷-7 =

1(9)₁₉₆3_<198>

= 90373 · 4777371493_<10> · 5633626609872084437_<19> · [82226957966021474907494676594627492243052567308469038155883853076292861347112113319421969160379598357079323711352140390095536766191771144314222829229692182940549501_<164>] SUBMIT/RESERVE

2·10¹⁹⁸-7 =

1(9)₁₉₇3_<199>

= 308140018813999791283_<21> · 6490555844378151809433361551228165719141341752981958400145587449848540019913493332203750841186536936089953931115844842842246275951731770458994120860922129592026278914460019998371_<178>

2·10¹⁹⁹-7 =

1(9)₁₉₈3_<200>

= 13 · 120293 · 6212400041_<10> · 1615716253225561_<16> · [1274153582797457111459580276547084348054607774501829749830057112624065178331557679710885640782750451071369363593629184335911883251344498716892376501653147689153535220377_<169>] SUBMIT/RESERVE

2·10²⁰⁰-7 =

1(9)₁₉₉3_<201>

= 1301 · 77494184407_<11> · 29804123292653_<14> · 19122300006570627091_<20> · 348311486605878509660662409_<27> · 182349040760987799564918359076342409_<36> · 54801926834354290860267834669391833266360484125455715191587135759479195271787329085245083573_<92> (Robert Backstrom / GMP-ECM 6.0.1 B1=1296000, sigma=581816915 for P36 / Jan 29, 2008)

4. References

• A102946 (On-Line Encyclopedia of Integer Sequences)