Since June 16, 2000

STUDIO KAMADA

English text only.

Last update

Sequence

General term

Room for prime numbers

Prime numbers

1. (2·10¹+7)/9 = 3 is prime. (Makoto Kamada / Jun 11, 2003)
2. (2·10²+7)/9 = 23 is prime. (Makoto Kamada / Jun 11, 2003)
3. (2·10³+7)/9 = 223 is prime. (Makoto Kamada / Jun 11, 2003)
4. (2·10⁸+7)/9 = 22222223 is prime. (Makoto Kamada / Jun 11, 2003)
5. (2·10¹¹+7)/9 = (2)₁₀3_<11> is prime. (Makoto Kamada / Jun 11, 2003)
6. (2·10³⁶+7)/9 = (2)₃₅3_<36> is prime. (Makoto Kamada / PPSIQS / Jun 11, 2003)
7. (2·10⁹⁵+7)/9 = (2)₉₄3_<95> is prime. (Makoto Kamada / PPSIQS / Jun 11, 2003)
8. (2·10¹⁰¹+7)/9 = (2)₁₀₀3_<101> is prime. (Makoto Kamada / pock 0.1.1a / Jun 11, 2003)
9. (2·10¹²⁸+7)/9 = (2)₁₂₇3_<128> is prime. (Makoto Kamada / pock 0.1.1a / Jun 11, 2003)
10. (2·10²⁶⁰+7)/9 = (2)₂₅₉3_<260> is prime. (Makoto Kamada / pock 0.1.1a / Jun 11, 2003)
11. (2·10³⁵¹+7)/9 = (2)₃₅₀3_<351> is prime. (Makoto Kamada / pock 0.1.1a / Jun 11, 2003)
12. (2·10⁴⁶⁷+7)/9 = (2)₄₆₆3_<467> is prime. (Makoto Kamada / PPSIQS / Jun 11, 2003)
13. (2·10⁶⁴⁵+7)/9 = (2)₆₄₄3_<645> is prime. (Makoto Kamada / pock 0.1.1a / Jun 11, 2003)
14. (2·10¹⁰¹¹+7)/9 = (2)₁₀₁₀3_<1011> is prime. (searched by Makoto Kamada / Jun 11, 2003) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Sep 14, 2006)
15. (2·10¹¹⁷⁸+7)/9 = (2)₁₁₇₇3_<1178> is prime. (searched by Makoto Kamada / Jun 11, 2003) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Sep 11, 2006)
16. (2·10¹²¹⁷+7)/9 = (2)₁₂₁₆3_<1217> is prime. (searched by Makoto Kamada / Jun 11, 2003) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Sep 12, 2006)
17. (2·10²⁴⁴²+7)/9 = (2)₂₄₄₁3_<2442> is prime. (searched by Makoto Kamada / Jun 11, 2003) (certified by Sinkiti Sibata / PFGW 3.0.4 / Dec 30, 2007)
18. (2·10³⁷⁶¹+7)/9 = (2)₃₇₆₀3_<3761> is PRP. (Makoto Kamada / Jun 11, 2003)
19. (2·10³⁸⁰⁶+7)/9 = (2)₃₈₀₅3_<3806> is PRP. (Makoto Kamada / Jun 11, 2003)

• 1-10000

• A056656 (On-Line Encyclopedia of Integer Sequences)
• A093162 (On-Line Encyclopedia of Integer Sequences)

Condition

Status

Factorization results

(2·10¹+7)/9 =

3

= definitely prime number

(2·10²+7)/9 =

23

= definitely prime number

(2·10³+7)/9 =

223

= definitely prime number

(2·10⁴+7)/9 =

2223

= 3² · 13 · 19

(2·10⁵+7)/9 =

22223

= 71 · 313

(2·10⁶+7)/9 =

222223

= 61 · 3643

(2·10⁷+7)/9 =

2222223

= 3 · 17 · 43573

(2·10⁸+7)/9 =

22222223

= definitely prime number

(2·10⁹+7)/9 =

222222223

= 449 · 494927

(2·10¹⁰+7)/9 =

2222222223_<10>

= 3 · 13 · 6353 · 8969

(2·10¹¹+7)/9 =

22222222223_<11>

= definitely prime number

(2·10¹²+7)/9 =

222222222223_<12>

= 787 · 1291 · 218719

(2·10¹³+7)/9 =

2222222222223_<13>

= 3³ · 431 · 10651 · 17929

(2·10¹⁴+7)/9 =

22222222222223_<14>

= 401 · 55417013023_<11>

(2·10¹⁵+7)/9 =

222222222222223_<15>

= 97 · 2290950744559_<13>

(2·10¹⁶+7)/9 =

2222222222222223_<16>

= 3 · 13 · 56980056980057_<14>

(2·10¹⁷+7)/9 =

22222222222222223_<17>

= 38651 · 574945595773_<12>

(2·10¹⁸+7)/9 =

222222222222222223_<18>

= 31541 · 7045503383603_<13>

(2·10¹⁹+7)/9 =

2222222222222222223_<19>

= 3 · 257 · 2882259691598213_<16>

(2·10²⁰+7)/9 =

22222222222222222223_<20>

= 131 · 160397 · 1057596364889_<13>

(2·10²¹+7)/9 =

222222222222222222223_<21>

= 151 · 1237 · 502079 · 2369565851_<10>

(2·10²²+7)/9 =

2222222222222222222223_<22>

= 3² · 13 · 19 · 999650122457140001_<18>

(2·10²³+7)/9 =

22222222222222222222223_<23>

= 17 · 29 · 45075501464953797611_<20>

(2·10²⁴+7)/9 =

222222222222222222222223_<24>

= 23 · 8168947 · 1182751675190483_<16>

(2·10²⁵+7)/9 =

2222222222222222222222223_<25>

= 3 · 3527 · 219847 · 15534451 · 61495639

(2·10²⁶+7)/9 =

22222222222222222222222223_<26>

= 173 · 3174103 · 8652361 · 4677197797_<10>

(2·10²⁷+7)/9 =

222222222222222222222222223_<27>

= 86413 · 2571629525907238751371_<22>

(2·10²⁸+7)/9 =

2222222222222222222222222223_<28>

= 3 · 13 · 283 · 3529 · 1094809 · 52113042164539_<14>

(2·10²⁹+7)/9 =

22222222222222222222222222223_<29>

= 32552664510871_<14> · 682654478707913_<15>

(2·10³⁰+7)/9 =

222222222222222222222222222223_<30>

= 11317 · 19636142283486986146701619_<26>

(2·10³¹+7)/9 =

2222222222222222222222222222223_<31>

= 3² · 47 · 83 · 30037349933_<11> · 2107208029017359_<16>

(2·10³²+7)/9 =

22222222222222222222222222222223_<32>

= 397 · 60631 · 97367 · 1989034661_<10> · 4767032447_<10>

(2·10³³+7)/9 =

222222222222222222222222222222223_<33>

= 2953 · 75253038341423034955036309591_<29>

(2·10³⁴+7)/9 =

2222222222222222222222222222222223_<34>

= 3 · 13² · 4383081306158229235152312075389_<31>

(2·10³⁵+7)/9 =

22222222222222222222222222222222223_<35>

= 1496437 · 14850088725567613085096280179_<29>

(2·10³⁶+7)/9 =

222222222222222222222222222222222223_<36>

= definitely prime number

(2·10³⁷+7)/9 =

2222222222222222222222222222222222223_<37>

= 3 · 2389 · 310063097840410523541540703533169_<33>

(2·10³⁸+7)/9 =

22222222222222222222222222222222222223_<38>

= 2676823 · 12090277140313_<14> · 686643913690668977_<18>

(2·10³⁹+7)/9 =

222222222222222222222222222222222222223_<39>

= 17 · 179 · 351524057 · 14038827745403_<14> · 14797884615991_<14>

(2·10⁴⁰+7)/9 =

2222222222222222222222222222222222222223_<40>

= 3³ · 13 · 19 · 71 · 229 · 3260701 · 133704667 · 47008391859546839_<17>

(2·10⁴¹+7)/9 =

22222222222222222222222222222222222222223_<41>

= 227 · 449 · 80809 · 22583051 · 9818539859_<10> · 12168191411021_<14>

(2·10⁴²+7)/9 =

222222222222222222222222222222222222222223_<42>

= 559907 · 72328831 · 135042412801_<12> · 40634035367686619_<17>

(2·10⁴³+7)/9 =

2222222222222222222222222222222222222222223_<43>

= 3 · 571 · 9272411 · 632206847 · 5636785039_<10> · 39259682361917_<14>

(2·10⁴⁴+7)/9 =

22222222222222222222222222222222222222222223_<44>

= 263 · 2411 · 35045682923833289789072300470470770411_<38>

(2·10⁴⁵+7)/9 =

222222222222222222222222222222222222222222223_<45>

= 8101 · 27431455650194077548725123098657230245923_<41>

(2·10⁴⁶+7)/9 =

2222222222222222222222222222222222222222222223_<46>

= 3 · 13 · 23 · 2528651 · 979729421632960748068575024185124109_<36>

(2·10⁴⁷+7)/9 =

22222222222222222222222222222222222222222222223_<47>

= 937 · 195103 · 952751467 · 3647919397_<10> · 4714243033_<10> · 7419029879_<10>

(2·10⁴⁸+7)/9 =

222222222222222222222222222222222222222222222223_<48>

= 59 · 30036913 · 4157797405012021139_<19> · 30158994223125296671_<20>

(2·10⁴⁹+7)/9 =

2222222222222222222222222222222222222222222222223_<49>

= 3² · 109 · 6809490979_<10> · 332662486973848238564679579826258577_<36>

(2·10⁵⁰+7)/9 =

22222222222222222222222222222222222222222222222223_<50>

= 1466489093387_<13> · 15153349808349291177708777228832022029_<38>

(2·10⁵¹+7)/9 =

222222222222222222222222222222222222222222222222223_<51>

= 29 · 19819 · 700919 · 551619890822648170872337005634413098167_<39>

(2·10⁵²+7)/9 =

2222222222222222222222222222222222222222222222222223_<52>

= 3 · 13 · 6576175330158547357_<19> · 8664619496798487508749555621101_<31>

(2·10⁵³+7)/9 =

22222222222222222222222222222222222222222222222222223_<53>

= 1097 · 17509 · 1156963121517045679397293019832656044229589451_<46>

(2·10⁵⁴+7)/9 =

222222222222222222222222222222222222222222222222222223_<54>

= 631 · 43633 · 15839447423_<11> · 196125565343651_<15> · 2598177501678346506637_<22>

(2·10⁵⁵+7)/9 =

2222222222222222222222222222222222222222222222222222223_<55>

= 3 · 17 · 43572984749455337690631808278867102396514161220043573_<53>

(2·10⁵⁶+7)/9 =

22222222222222222222222222222222222222222222222222222223_<56>

= 349 · 919 · 129443 · 535263929702433337762795704736828950471736831_<45>

(2·10⁵⁷+7)/9 =

222222222222222222222222222222222222222222222222222222223_<57>

= 28024389727_<11> · 7305969338223807959_<19> · 1085359162906485121088546711_<28>

(2·10⁵⁸+7)/9 =

2222222222222222222222222222222222222222222222222222222223_<58>

= 3² · 13 · 19 · 31327 · 241752619 · 52299732577_<11> · 2523821063378969121668352860701_<31>

(2·10⁵⁹+7)/9 =

22222222222222222222222222222222222222222222222222222222223_<59>

= 22277 · 45319 · 3553267060873_<13> · 6194733294373928163981438541645430077_<37>

(2·10⁶⁰+7)/9 =

222222222222222222222222222222222222222222222222222222222223_<60>

= 9320963350793371831_<19> · 23841121765950012859312069611941587577833_<41>

(2·10⁶¹+7)/9 =

2222222222222222222222222222222222222222222222222222222222223_<61>

= 3 · 5003 · 478991 · 756225856420100617_<18> · 408749140909641306466480509477401_<33>

(2·10⁶²+7)/9 =

22222222222222222222222222222222222222222222222222222222222223_<62>

= 491501 · 2226467 · 221312062541_<12> · 91757533778333799605904162123430563709_<38>

(2·10⁶³+7)/9 =

222222222222222222222222222222222222222222222222222222222222223_<63>

= 191 · 3253 · 1724910349_<10> · 571490649510071_<15> · 362822656502211637827135585472519_<33>

(2·10⁶⁴+7)/9 =

2222222222222222222222222222222222222222222222222222222222222223_<64>

= 3 · 13 · 2838211 · 387446702033161_<15> · 6219045514657429_<16> · 8331870218555377016187823_<25>

(2·10⁶⁵+7)/9 =

22222222222222222222222222222222222222222222222222222222222222223_<65>

= 27733 · 323997337804523_<15> · 2473142796855743128456471509946873453615920697_<46>

(2·10⁶⁶+7)/9 =

222222222222222222222222222222222222222222222222222222222222222223_<66>

= 61² · 6416952847_<10> · 11667145800963595289_<20> · 797690358793442259193400056233761_<33>

(2·10⁶⁷+7)/9 =

2222222222222222222222222222222222222222222222222222222222222222223_<67>

= 3⁵ · 2707 · 31939267193978147_<17> · 36820921341899554889_<20> · 2872588106080720053962581_<25>

(2·10⁶⁸+7)/9 =

22222222222222222222222222222222222222222222222222222222222222222223_<68>

= 23 · 966183574879227053140096618357487922705314009661835748792270531401_<66>

(2·10⁶⁹+7)/9 =

222222222222222222222222222222222222222222222222222222222222222222223_<69>

= 173 · 1061 · 3797 · 689935338263_<12> · 462143673460464381741811005408608188801138018981_<48>

(2·10⁷⁰+7)/9 =

2222222222222222222222222222222222222222222222222222222222222222222223_<70>

= 3 · 13 · 3414701 · 99100927 · 7679254151_<10> · 16337708996973467_<17> · 1342091986129544579620329823_<28>

(2·10⁷¹+7)/9 =

22222222222222222222222222222222222222222222222222222222222222222222223_<71>

= 17² · 9865047727_<10> · 3227527115831_<13> · 2415019006851082907406274337520245149958123911_<46>

(2·10⁷²+7)/9 =

222222222222222222222222222222222222222222222222222222222222222222222223_<72>

= 83 · 157 · 98101 · 1449431 · 246657781 · 181732447297286132623993_<24> · 2675540110959850820886271_<25>

(2·10⁷³+7)/9 =

2222222222222222222222222222222222222222222222222222222222222222222222223_<73>

= 3 · 449 · 3578101 · 74582303 · 6182035654459992593218801189832880629908731184285319503_<55>

(2·10⁷⁴+7)/9 =

22222222222222222222222222222222222222222222222222222222222222222222222223_<74>

= 1106621 · 20081149935002337947881182647195582066689699745642114348292886383163_<68>

(2·10⁷⁵+7)/9 =

222222222222222222222222222222222222222222222222222222222222222222222222223_<75>

= 71 · 714797 · 1078919 · 4058425473149919398847698730229160951573486447353983533152091_<61>

(2·10⁷⁶+7)/9 =

2222222222222222222222222222222222222222222222222222222222222222222222222223_<76>

= 3² · 13 · 19 · 113 · 18047 · 231919 · 3131035079_<10> · 675056772449239266040435342547453208766548814655191_<51>

(2·10⁷⁷+7)/9 =

22222222222222222222222222222222222222222222222222222222222222222222222222223_<77>

= 47 · 2194681065722463406139_<22> · 215435967510404969162933649379760886290724272234206931_<54>

(2·10⁷⁸+7)/9 =

222222222222222222222222222222222222222222222222222222222222222222222222222223_<78>

= 2243 · 1653057401_<10> · 75001879475621600412392891_<26> · 799094482064466808737095001857199433271_<39>

(2·10⁷⁹+7)/9 =

2222222222222222222222222222222222222222222222222222222222222222222222222222223_<79>

= 3 · 29 · 4973 · 691267 · 5939610580487_<13> · 1250967357160464887141595338187010144570631968820085337_<55>

(2·10⁸⁰+7)/9 =

22222222222222222222222222222222222222222222222222222222222222222222222222222223_<80>

= 307 · 21311379496680359591_<20> · 292871623574615293413519163_<27> · 11597389766428702918235285668633_<32>

(2·10⁸¹+7)/9 =

222222222222222222222222222222222222222222222222222222222222222222222222222222223_<81>

= 4691 · 14538737760611_<14> · 3258332123942852855941086870673426577114979323118063637007099623_<64>

(2·10⁸²+7)/9 =

2222222222222222222222222222222222222222222222222222222222222222222222222222222223_<82>

= 3 · 13 · 15913 · 3628269608055215851828543_<25> · 986895719842919392739506949695906806647974853713423_<51>

(2·10⁸³+7)/9 =

22222222222222222222222222222222222222222222222222222222222222222222222222222222223_<83>

= 9043 · 17443 · 404919061 · 30611655841159_<14> · 11365766550248973290107026352783772720218523745010973_<53>

(2·10⁸⁴+7)/9 =

222222222222222222222222222222222222222222222222222222222222222222222222222222222223_<84>

= 2674761318882352365293041_<25> · 4778446117196113578546307_<25> · 17386643888508439448390013614636629_<35>

(2·10⁸⁵+7)/9 =

2222222222222222222222222222222222222222222222222222222222222222222222222222222222223_<85>

= 3² · 21067951 · 361327929913_<12> · 469097330353217_<15> · 69144586353007834169994395377003684701477559788257_<50>

(2·10⁸⁶+7)/9 =

22222222222222222222222222222222222222222222222222222222222222222222222222222222222223_<86>

= 10196886755532339780012743_<26> · 2179314407916270564655640670387428035743025120792978846554361_<61> (Tetsuya Kobayashi / GMP-ECM 5.0.1)

(2·10⁸⁷+7)/9 =

222222222222222222222222222222222222222222222222222222222222222222222222222222222222223_<87>

= 17 · 49941992072779_<14> · 748319699015584219001_<21> · 349772390811265974532460341794309058428368106733861_<51>

(2·10⁸⁸+7)/9 =

2222222222222222222222222222222222222222222222222222222222222222222222222222222222222223_<88>

= 3 · 13 · 56980056980056980056980056980056980056980056980056980056980056980056980056980056980057_<86>

(2·10⁸⁹+7)/9 =

22222222222222222222222222222222222222222222222222222222222222222222222222222222222222223_<89>

= 25436638517_<11> · 873630460541022525166791960124242002342805956156294825181606059862623719111219_<78>

(2·10⁹⁰+7)/9 =

222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223_<90>

= 23 · 57519489073103741_<17> · 451099313590781509_<18> · 372368096101478373858793450022029758290333048547093529_<54>

(2·10⁹¹+7)/9 =

2222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223_<91>

= 3 · 293 · 379 · 132679 · 29513417 · 636966131 · 13236434554745673371_<20> · 202046048102206123783979860742533311064867021_<45>

(2·10⁹²+7)/9 =

22222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223_<92>

= 8236259 · 9583418936695827903057981047_<28> · 281537997626619038656318492704915315332451484752435054851_<57> (Tetsuya Kobayashi / GMP-ECM 5.0.1)

(2·10⁹³+7)/9 =

222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223_<93>

= 167 · 7459 · 2321430260505225174836218007126173_<34> · 76848388817537988901180820937927044363942351355966767_<53>

(2·10⁹⁴+7)/9 =

2222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223_<94>

= 3³ · 13 · 19 · 6404164162127_<13> · 52031256390380044743295850437733999797847648643403615011126950617868969446021_<77>

(2·10⁹⁵+7)/9 =

22222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223_<95>

= definitely prime number

(2·10⁹⁶+7)/9 =

222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223_<96>

= 151 · 3779884834303_<13> · 389342641470689964579283288958011757241342571951389186612139851073212763160679991_<81>

(2·10⁹⁷+7)/9 =

2222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223_<97>

= 3 · 5569 · 400397369 · 2951046529_<10> · 112569760340438919993797793119382798960326602459672142146215483649181422189_<75>

(2·10⁹⁸+7)/9 =

22222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223_<98>

= 193 · 161039 · 27284949287_<11> · 86627908438696621_<17> · 5365840325382434453_<19> · 56374199420544293713021519415494775912316679_<44>

(2·10⁹⁹+7)/9 =

222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223_<99>

= 38851 · 21141503 · 37586080140891500526297088248071500703_<38> · 7198174818724618490613930385817950690865883408997_<49> (Robert Backstrom / PPSIQS Ver 1.1)

(2·10¹⁰⁰+7)/9 =

2222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223_<100>

= 3 · 13 · 56980056980056980056980056980056980056980056980056980056980056980056980056980056980056980056980057_<98>

(2·10¹⁰¹+7)/9 =

(2)₁₀₀3_<101>

= definitely prime number

(2·10¹⁰²+7)/9 =

(2)₁₀₁3_<102>

= 164701 · 91975608960784429_<17> · 249332901326271417939820687_<27> · 58835437550485060661116856262470037166272939656461801_<53>

(2·10¹⁰³+7)/9 =

(2)₁₀₂3_<103>

= 3² · 17 · 14942767429_<11> · 102344298157_<12> · 105427268957_<12> · 3485004490307933_<16> · 25849078636620419379519651276727454277891880713796687_<53>

(2·10¹⁰⁴+7)/9 =

(2)₁₀₃3_<104>

= 7523 · 384882068447328637_<18> · 611116608686300791_<18> · 2961638443365755040119_<22> · 4240456581319560874397534449785421267844537_<43>

(2·10¹⁰⁵+7)/9 =

(2)₁₀₄3_<105>

= 449 · 2283709 · 898583484663419_<15> · 7983361633636792063_<19> · 2981729252022701449249_<22> · 10131831090108636105567257743637276353951_<41>

(2·10¹⁰⁶+7)/9 =

(2)₁₀₅3_<106>

= 3 · 13 · 59 · 3323 · 13399 · 743983320722512131033234267009237809440019_<42> · 29154455843845849700306419720970556041402986749161821_<53> (Naoki Yamamoto)

(2·10¹⁰⁷+7)/9 =

(2)₁₀₆3_<107>

= 29 · 503 · 6581987 · 231453889359436538092168884223967133996842603235790325455532073125896192528533652500771725185567_<96>

(2·10¹⁰⁸+7)/9 =

(2)₁₀₇3_<108>

= 16253689772563_<14> · 1022291020566835109_<19> · 25147450319139259263415111_<26> · 531822876838460615306112162884959724288813112139079_<51>

(2·10¹⁰⁹+7)/9 =

(2)₁₀₈3_<109>

= 3 · 491 · 5016565264621193_<16> · 3145816347680625049_<19> · 4555715068559132921_<19> · 20984003684378546338121255740969620766756699529850983_<53>

(2·10¹¹⁰+7)/9 =

(2)₁₀₉3_<110>

= 71 · 137147 · 274892507413_<12> · 1780746324352934660392523_<25> · 4662060081195315651343339959551703332664443114639742800302220699821_<67>

(2·10¹¹¹+7)/9 =

(2)₁₁₀3_<111>

= 97 · 5771081621262690683_<19> · 56958187395497515079848690649_<29> · 6969512080474052578876774896363036007547149622542570862159077_<61> (Naoki Yamamoto)

(2·10¹¹²+7)/9 =

(2)₁₁₁3_<112>

= 3² · 13² · 19 · 23 · 173 · 1013 · 103924798360847252900346836263614426182389237_<45> · 183570164108890724311962475702790923594683411145278898823_<57> (Naoki Yamamoto / GGNFS / 8 hours)

(2·10¹¹³+7)/9 =

(2)₁₁₂3_<113>

= 83 · 162721307755187_<15> · 14652693921237451_<17> · 286631532866207527_<18> · 5909130487669161746367868789_<28> · 66297926155436403051894073537231271_<35>

(2·10¹¹⁴+7)/9 =

(2)₁₁₃3_<114>

= 227744423 · 46388076775344031604169485115695530757_<38> · 21034556913321933041770219922820321305866591917084027325536346282693_<68> (Naoki Yamamoto / GGNFS / 12 hours)

(2·10¹¹⁵+7)/9 =

(2)₁₁₄3_<115>

= 3 · 2111 · 419059 · 269030601130809864498212068276549_<33> · 3112441116444247743889279179616437584284824828415555461928913078952182341_<73> (Tetsuya Kobayashi / GMP-ECM B1=1e6)

(2·10¹¹⁶+7)/9 =

(2)₁₁₅3_<116>

= 2789 · 2271752229398293_<16> · 18433540569023927_<17> · 476505862995021833_<18> · 1098386728305774847_<19> · 11139314671698318529_<20> · 32635273165426350107289703_<26>

(2·10¹¹⁷+7)/9 =

(2)₁₁₆3_<117>

= 242335747991_<12> · 58908167226629800250827_<23> · 17657361539862050268088485222733867_<35> · 881594114709239952377600208655236714926347994417_<48>

(2·10¹¹⁸+7)/9 =

(2)₁₁₇3_<118>

= 3 · 13 · 5273 · 33366497798003_<14> · 323857890777093878716959589105483444373101014839588665920630418646295321595813394955010321130097403_<99>

(2·10¹¹⁹+7)/9 =

(2)₁₁₈3_<119>

= 17 · 2071644451_<10> · 93908811329570508550272588323170553_<35> · 6719191214356169351611915828935976306063961795617665117693268061849946173_<73> (Wataru Sakai / GMP-ECM)

(2·10¹²⁰+7)/9 =

(2)₁₁₉3_<120>

= 467 · 5869 · 94573 · 182475208148045684159_<21> · 73116484470104673697170612187_<29> · 64256957878365303495152201554282639251676413314017265342089_<59>

(2·10¹²¹+7)/9 =

(2)₁₂₀3_<121>

= 3³ · 45597521 · 13331026330569732653390091113196743038813193671667807_<53> · 135400074662843530365122095572985252948229939391443206328467_<60> (Sander Hoogendoorn)

(2·10¹²²+7)/9 =

(2)₁₂₁3_<122>

= 9859 · 82549 · 54166157 · 504097773014912934530423975301664865418287642155292882786249616464882563640718958308940889164433536950229_<105>

(2·10¹²³+7)/9 =

(2)₁₂₂3_<123>

= 47 · 4728132387706855791962174940898345153664302600472813238770685579196217494089834515366430260047281323877068557919621749409_<121>

(2·10¹²⁴+7)/9 =

(2)₁₂₃3_<124>

= 3 · 13 · 1181 · 11489 · 6234352919_<10> · 7909493671_<10> · 8017299643_<10> · 48974771855352870893021_<23> · 216895303771825810841041243696208128190213939641132572769451459_<63>

(2·10¹²⁵+7)/9 =

(2)₁₂₄3_<125>

= 3119 · 22183584814837907912552993_<26> · 321174001800978750985712966456339820213092878216873568587187193709492327914163765915840576087169_<96>

(2·10¹²⁶+7)/9 =

(2)₁₂₅3_<126>

= 61 · 8967746107_<10> · 103128932371_<12> · 3939071149386307622719265173684436366680637091135726998815352987812169083651007651069743485134611000219_<103>

(2·10¹²⁷+7)/9 =

(2)₁₂₆3_<127>

= 3 · 3301 · 64785511585507_<14> · 79762716287586792529582186909_<29> · 43425305190421856309900429188750527016563565282461927480744049590008829034600807_<80>

(2·10¹²⁸+7)/9 =

(2)₁₂₇3_<128>

= definitely prime number

(2·10¹²⁹+7)/9 =

(2)₁₂₈3_<129>

= 34421 · 3519559 · 83659943 · 2696856358639_<13> · 43467205463406142590599443250751622211_<38> · 187041791368819057526369442463859368268039784258931849438031_<60> (Kenichiro Yamaguchi / ppmpqs / 103:27:14:21)

(2·10¹³⁰+7)/9 =

(2)₁₂₉3_<130>

= 3² · 13 · 19 · 1423 · 1551317117327979089261_<22> · 444393718392193325525367381067708903784680905533_<48> · 1019001040424840666261118066908241563639658856415896199_<55> (Naoki Yamamoto / GGNFS-0.42.0 / 6 hours)

(2·10¹³¹+7)/9 =

(2)₁₃₀3_<131>

= 397 · 39437455805666279351_<20> · 1419345383552591812270863944793212955504815408312597346469688619494851894149712678078095314452201001523151309_<109>

(2·10¹³²+7)/9 =

(2)₁₃₁3_<132>

= 461 · 1961595343_<10> · 149304530301433541614272950389291_<33> · 1645902684055324617855608273026808923606630267577606872525954887431643942752028685234511_<88> (Tetsuya Kobayashi / GMP-ECM B1=1e6)

(2·10¹³³+7)/9 =

(2)₁₃₂3_<133>

= 3 · 4092233 · 1307931910231_<13> · 424814383108965677778685648075483_<33> · 325777833102930425413619004632980511551365206440383694360863857960806620637699249_<81> (Tetsuya Kobayashi / GMP-ECM B1=1e6)

(2·10¹³⁴+7)/9 =

(2)₁₃₃3_<134>

= 23 · 11483 · 1222537 · 21505681363_<11> · 50460919385533_<14> · 8953127398013641231_<19> · 7742959122054812145431_<22> · 914854812326491903046912768596810513081054397862333552349_<57>

(2·10¹³⁵+7)/9 =

(2)₁₃₄3_<135>

= 17 · 29 · 3488603 · 9178245269_<10> · 12799627526178023_<17> · 1099846371107933144025874330968455658904190578431256151628277382631264765315206141701101650699883851_<100>

(2·10¹³⁶+7)/9 =

(2)₁₃₅3_<136>

= 3 · 13 · 1208403718344969580010976922953219153737_<40> · 47153162568960726558585743667934255258026493976547097688772198069171183804381407635463744713361_<95> (Naoki Yamamoto / GGNFS-0.42.0 / 9 hours)

(2·10¹³⁷+7)/9 =

(2)₁₃₆3_<137>

= 449 · 327644203 · 151056235311373876516550402321632087374359154327861136782355279470484847805097760452757216302099657452812698705218985014585709_<126>

(2·10¹³⁸+7)/9 =

(2)₁₃₇3_<138>

= 52363 · 26668779749797_<14> · 22935991170176272277_<20> · 6938128010794202174089723781566723953311847485907772641344651801185535333891444895127971524694148709_<100>

(2·10¹³⁹+7)/9 =

(2)₁₃₈3_<139>

= 3² · 8486210581_<10> · 6156313139653_<13> · 4880507932475165839_<19> · 817109772026772175728461872273899083_<36> · 1185127410836767685755312331250837119392662598402888284264467_<61> (Naoki Yamamoto)

(2·10¹⁴⁰+7)/9 =

(2)₁₃₉3_<140>

= 5957256493_<10> · 5777027076711499587422658237034853150629_<40> · 645708916957404373686773843048147366831642929387462446972666663787531227763529926414396559_<90> (Wataru Sakai)

(2·10¹⁴¹+7)/9 =

(2)₁₄₀3_<141>

= 1171 · 4133 · 574931249 · 6593494772741607446454582942280577_<34> · 12112494848047720158381219135095901764288321518461483499555531920883196702345694182587469057_<92> (Tetsuya Kobayashi / GMP-ECM B1=1e6)

(2·10¹⁴²+7)/9 =

(2)₁₄₁3_<142>

= 3 · 13 · 4327 · 13168490173343420396806114393357286816958645015035123655414850238053381108615682223262532945916352433569905259297447880761955178409996991_<137>

(2·10¹⁴³+7)/9 =

(2)₁₄₂3_<143>

= 149 · 1051 · 307423981 · 312160750988286806021859139_<27> · 167309047980263602956732412676837060292367_<42> · 8838183917468631024530100824665388670542398785290684942817409_<61> (Greg Childers / GGNFS)

(2·10¹⁴⁴+7)/9 =

(2)₁₄₃3_<144>

= 53611 · 117563 · 60387159023969_<14> · 88692373338546605226340701414858466691_<38> · 6583124119103824473232830829207215208475424966357525746284822636946549026969966109_<82> (Greg Childers / GGNFS)

(2·10¹⁴⁵+7)/9 =

(2)₁₄₄3_<145>

= 3 · 71 · 18892301 · 552233853327186174224585253411750467610925130884649441672548449383022977276836277277108912369327277547611084164294198311401373993893471_<135>

(2·10¹⁴⁶+7)/9 =

(2)₁₄₅3_<146>

= 233 · 22483 · 51488652199403_<14> · 2494579404060652720843_<22> · 552762742946792131691828041_<27> · 59748868542355057757452495404704158535132136607869721769736839459789185108013_<77>

(2·10¹⁴⁷+7)/9 =

(2)₁₄₆3_<147>

= 7151 · 22643 · 1430921 · 2348581 · 2454003667_<10> · 323605016573996672507_<21> · 75546046947925085369108394647_<29> · 6807119018864928857272004130073752530647097895912993722383741851377_<67> (Naoki Yamamoto)

(2·10¹⁴⁸+7)/9 =

(2)₁₄₇3_<148>

= 3⁴ · 13 · 19 · 101567257305949471_<18> · 141303761410777573245254533260661267574419385131_<48> · 7739235575743774151398238877945382293130861185697207152777976673706588113101589_<79> (Greg Childers / GGNFS)

(2·10¹⁴⁹+7)/9 =

(2)₁₄₈3_<149>

= 8821 · 1840443781568006396865580669535155839494213_<43> · 1368822414508331612887738891689191177896334116203834760359254573437015084565780181118874791758026980951_<103> (Greg Childers / GGNFS)

(2·10¹⁵⁰+7)/9 =

(2)₁₄₉3_<150>

= 131 · 157 · 823 · 836554811419121_<15> · 15693589971846576559431826566862434081766241529382242006722297631905544454665961458955875558872331919481276303169606955268996143_<128>

(2·10¹⁵¹+7)/9 =

(2)₁₅₀3_<151>

= 3 · 17 · 541 · 12697 · 1424231 · 4453879787064813091325506491209510630039273826915501099145194914482021536601375033949765708822292814824435705486210856701546169931084279_<136>

(2·10¹⁵²+7)/9 =

(2)₁₅₁3_<152>

= 181 · 619 · 4112887 · 48224916543158585156400141817590471854347886339869132970719874248993923744206770059346712813028263715756472688871400619476478072885871732911_<140>

(2·10¹⁵³+7)/9 =

(2)₁₅₂3_<153>

= 359 · 7499 · 82544793241595526468421313082123938613253251676722067017374729712233579973048299558686644652795757065555712803386680795033477898156977001658613803_<146>

(2·10¹⁵⁴+7)/9 =

(2)₁₅₃3_<154>

= 3 · 13 · 83 · 227 · 62851 · 910523 · 11950907 · 226326480869_<12> · 2678614065727037627558566220314891_<34> · 7294061730828789765648309600745906429764528886149847086345196093357863550959590237333_<85> (Sinkiti Sibata / GGNFS-0.77.1 / 44.63 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Jan 31, 2006)

(2·10¹⁵⁵+7)/9 =

(2)₁₅₄3_<155>

= 173 · 367 · 518745754000861_<15> · 458980603069217356377416219_<27> · 2049297804196576789881393498465163_<34> · 717333902558197028305889604248689788845164614947458292233987073609025368609_<75> (Makoto Kamada / GMP-ECM 5.0.3 B1=4000000, sigma=253525068 for P34)

(2·10¹⁵⁶+7)/9 =

(2)₁₅₅3_<156>

= 23 · 3499 · 23646641 · 6926356052576897781946985964283783248377448772933915690211713_<61> · 16859373684167425982860874223536195143299267692900426968939447864947450149457709003_<83> (suberi / GGNFS-0.77.1-20060513-pentium4 / 44.21 hours on Pentium 4 2.26GHz, Windows XP and Cygwin / Jun 24, 2006)

(2·10¹⁵⁷+7)/9 =

(2)₁₅₆3_<157>

= 3² · 109 · 2617 · 532529 · 1600321 · 10276598863_<11> · 275644563889396195991601548242531083466591268839139865547_<57> · 358563065522327430052239803536935822255232574805406605801612939291916351_<72> (Tyler Cadigan / GGNFS-0.77.1-20060722-pentium4 / 71.01 hours on Pentium 4 3.20 GHz, 1 Gig RAM, Windows XP and Cygwin / Jan 1, 2007)

(2·10¹⁵⁸+7)/9 =

(2)₁₅₇3_<158>

= 191 · 131762990689564553924901894505812253_<36> · 882999942521541802647808796269686171357208978670046129416456874646530567606892048042407142275493669636303904492109195301_<120> (Wataru Sakai / GGNFS-0.77.1-20060513-pentium4 / 60.11 hours on Pentium 4 3GHz, Windows XP and Cygwin / Aug 15, 2006)

(2·10¹⁵⁹+7)/9 =

(2)₁₅₈3_<159>

= 298723 · 134414293495679_<15> · 28564470286657715379909548819111177_<35> · 193752446812631227185571963969853916284322191569677049783345080351097717812535867500285661692155668121347_<105> (Wataru Sakai / GMP-ECM 6.1 B1=11000000, sigma=4026456386 for P35 / Jun 2, 2006)

(2·10¹⁶⁰+7)/9 =

(2)₁₅₉3_<160>

= 3 · 13 · 1250062086469161201059_<22> · 13371328080552857813032632937_<29> · 48136003548959021271666142271_<29> · 1743770179496369829136972897781_<31> · 40612289550914884483774941360738576512928880318129_<50> (Makoto Kamada / GMP-ECM 6.0 B1=4000000, sigma=2121005909 for P29(4813...) / Mar 20, 2005) (Makoto Kamada / GMP-ECM 6.0.1 B1=11000000, sigma=1952104633 for P29(1337...), msieve-0.88 for P31 x P50 / Apr 11, 2005)

(2·10¹⁶¹+7)/9 =

(2)₁₆₀3_<161>

= 1714933083439_<13> · 21393514829134244932337814471241_<32> · 605700824976428319254861005827037748162874928762405763234457258027843650353567084980102064536103816470993229797108377_<117> (Robert Backstrom / GGNFS-0.77.1-20060513-athlon-xp / 37.29 hours on Cygwin on AMD 64 3200+ / Jul 23, 2007)

(2·10¹⁶²+7)/9 =

(2)₁₆₁3_<162>

= 41351 · 5374047114271050814302488989920974637184644197775681899403212067960199807071708597669275766540645261837010525071273299853019811424686760228826926125661343673_<157>

(2·10¹⁶³+7)/9 =

(2)₁₆₂3_<163>

= 3 · 29 · 797 · 34549 · 777914166299_<12> · 31002747329609479_<17> · 38462948157134490914154387129609159821077762851849976356360260474153849173733290290534148450080066500261597086473573615028733_<125>

(2·10¹⁶⁴+7)/9 =

(2)₁₆₃3_<164>

= 59 · 697437560875820935427_<21> · 544113926826738557075513436540781338666336584873_<48> · 992522360499429901684593984914140940525360628309658561254022439588152781604125217695717239207_<93> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs, Msieve 1.33 / Jan 28, 2008)

(2·10¹⁶⁵+7)/9 =

(2)₁₆₄3_<165>

= 1867 · 11462603 · 4855604094401_<13> · 135175420835923295308837910165690077_<36> · 15820453108988154482791229654640228746372406550518557422884079078297050679566535405743149235122673945634099_<107> (Jo Yeong Uk / GMP-ECM 6.1.3 B1=1000000, sigma=3789978827 for P36 / Jan 22, 2008)

(2·10¹⁶⁶+7)/9 =

(2)₁₆₅3_<166>

= 3² · 13 · 19 · 2203 · 92591638837_<11> · 10579117484643669985321526488483937482639067300717328050482541_<62> · 463246679702034732206614919683068341832261226156838899536755186335885948793861377955651_<87> (Robert Backstrom / GGNFS-0.77.1-20060513-athlon-xp snfs, Msieve 1.32 / Dec 31, 2007)

(2·10¹⁶⁷+7)/9 =

(2)₁₆₆3_<167>

= 17 · 22549 · 56437 · 85331 · 2871978723164024191549374139558544135462013900057318167591_<58> · 4191401889447764303388864665063780609861896939555630361153238115797687072530286019054001194603_<94> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs, Msieve 1.30 / Nov 28, 2007)

(2·10¹⁶⁸+7)/9 =

(2)₁₆₇3_<168>

= 17977 · 2204077423_<10> · 5551727479_<10> · 1010218418344347408324342390392691605230827811720979970784146709510052426495905551095290829555068583988664824122315815772263994764172968510194847_<145>

(2·10¹⁶⁹+7)/9 =

(2)₁₆₈3_<169>

= 3 · 47 · 283² · 449 · 4621 · 1371826334839_<13> · 6309261111841_<13> · 10958107485544947431162780654359577147990699743527494703749982567914801660405601250421003993507190621388901481579040755699635702537_<131>

(2·10¹⁷⁰+7)/9 =

(2)₁₆₉3_<170>

= 12930304574921414314033_<23> · 3177578812262362929721778663715578834608987_<43> · 540856932080673148371720800720497574973083187669508000817425748253849426512467650834585100482455000456813_<105> (Wataru Sakai / GMP-ECM 6.1 B1=11000000, sigma=2371977705 for P43 / Jun 2, 2006)

(2·10¹⁷¹+7)/9 =

(2)₁₇₀3_<171>

= 151 · 599 · 4139 · 147729150559_<12> · [4018112476320963647194617559312925511372532354290249565022495815523720386385026834556628042670177642790261114138766659873405014576266701042753481505027_<151>] SUBMIT/RESERVE

(2·10¹⁷²+7)/9 =

(2)₁₇₁3_<172>

= 3 · 13 · 349 · 1722374441_<10> · 94791605718757906103413822664260376209220188294562669086370970166188148110094132159388458811615241909190143570570899167483210991431747717030586048482680886373_<158>

(2·10¹⁷³+7)/9 =

(2)₁₇₂3_<173>

= 983 · 2568512210364700712179_<22> · [8801411648695407860503430511695039947639589568426302424000467840247669217960103628208989791645553422237077252956448033034649082392378033579745278739_<148>] SUBMIT/RESERVE

(2·10¹⁷⁴+7)/9 =

(2)₁₇₃3_<174>

= 32653 · 8605748596807443176651449709360011_<34> · [790816538438140615000153862079160056073471252421369321942539171949977923538944145405594829029895279514855025343464426448291871504794881_<135>] (Wataru Sakai / GMP-ECM 6.1 B1=11000000, sigma=1391301346 for P34 / Jun 2, 2006) SUBMIT/RESERVE

(2·10¹⁷⁵+7)/9 =

(2)₁₇₄3_<175>

= 3³ · 440484472271_<12> · [186850007049362778684422153838889746512181414900901879338348429790457559971430414759426262701870399244019166893981526142656397274721585238661891239820642053521619_<162>] SUBMIT/RESERVE

(2·10¹⁷⁶+7)/9 =

(2)₁₇₅3_<176>

= 351065499199_<12> · [63299362292577913291329198592789409084762071177933010323562308148751817109264304600545853144952866605603422647085981853922113358372825077596218111368940922502336177_<164>] SUBMIT/RESERVE

(2·10¹⁷⁷+7)/9 =

(2)₁₇₆3_<177>

= 1337851 · 166103865245249450216969021379975963109660359952059102412916103678378401049311337527289826910636701861584154156346425889147761762873610157052035108709581427395294559874173_<171>

(2·10¹⁷⁸+7)/9 =

(2)₁₇₇3_<178>

= 3 · 13 · 23 · 31069 · 79738446095516683142822437268040112760209823268625066026921924104492497144476539567690120386992846189557016930030992699359182376645610653506123197007581974003137556350811_<170>

(2·10¹⁷⁹+7)/9 =

(2)₁₇₈3_<179>

= 10105567 · [2199007954944262130192419903031885516391333828395994229935066703552826102901719638514318120123514318614900304181073879597475552061771716740111883105838813618495847113004369_<172>] SUBMIT/RESERVE

(2·10¹⁸⁰+7)/9 =

(2)₁₇₉3_<180>

= 71 · 3581374329011_<13> · 282287262952400056073198405956934109921109_<42> · 3095908655365249055568580267803159689569266960813853471093469310442231639214617495399521734305189014030222056875561596808087_<124> (Serge Batalov / GMP-ECM 6.2.1 B1=1000000, sigma=2409772803 for P42 / Jul 12, 2008)

(2·10¹⁸¹+7)/9 =

(2)₁₈₀3_<181>

= 3 · 15517927976267_<14> · 47734513388232239960364327745306417913531881130173620834118529483889588931066850860614272228592584238174615996758001596076382917901251799292479620562046658261321619823_<167>

(2·10¹⁸²+7)/9 =

(2)₁₈₁3_<182>

= 337 · 68363837497_<11> · [964564229370639290767595557418509371370418848400432751001645861692888978877877782676057073181626039838972150222044069595736611730752482826474766995392954005032244021207_<168>] SUBMIT/RESERVE

(2·10¹⁸³+7)/9 =

(2)₁₈₂3_<183>

= 17 · 361822305232022329_<18> · 152872903897698185022599_<24> · 56504766697054018996849756720133510657753_<41> · 129327126139044059461605326059944584322779_<42> · 32339849927200696698255186332877160637861959050438843478747_<59> (Serge Batalov / GMP-ECM 6.2.1 B1=2000000, sigma=1270233868 for P42, pol51+Msieve 1.36 gnfs for P41 x P59 / 3.9 hours on Opteron-2.2GHz; Linux x86_64 / Aug 7, 2008)

(2·10¹⁸⁴+7)/9 =

(2)₁₈₃3_<184>

= 3² · 13 · 19 · 20377157 · [49057389235266725431798465431519225228507103442209332783746531592073418337977673846117984024937832223461791112452542936050401977059416210864940629335589967586744362800469293_<173>] SUBMIT/RESERVE

(2·10¹⁸⁵+7)/9 =

(2)₁₈₄3_<185>

= 23468633 · 946890354552061989389080404564774702566707750818815148808293274781800125393848982265913068827750735299419536801407317683233711235853499529445205531239174528069965652546623496231_<177>

(2·10¹⁸⁶+7)/9 =

(2)₁₈₅3_<186>

= 61 · 7247 · 1000296869048935293617966311639974939939901074399500816397239041_<64> · 502539820663756223904404112395960972646821102101410044844975062438931281776309797410654017639319069448362694337047509_<117> (Robert Backstrom / GGNFS-0.77.1-20050930-k8, Msieve 1.39 snfs / 45.86 hours, 3.9 hours / Dec 22, 2008)

(2·10¹⁸⁷+7)/9 =

(2)₁₈₆3_<187>

= 3 · 7121 · 703861 · 9726089 · 765326106386707_<15> · 437824737463030830793_<21> · 5263877762821122828884893157_<28> · 48391846941817862159960485307009_<32> · 178022660365682865284769924756205427705493239580961443647315723443038756623_<75> (Wataru Sakai / GMP-ECM 6.1 B1=11000000, sigma=1585148586 for P28, B1=11000000, sigma=2828462811 for P32 / Jun 2, 2006)

(2·10¹⁸⁸+7)/9 =

(2)₁₈₇3_<188>

= 113 · 587 · 2659 · 1864630093819_<13> · 112654204167499843146979520977037_<33> · 599808355233464006448212960910397629581245269600833415238862953159561681692737075144423658619895686481443976435337829801517842607704129_<135> (Serge Batalov / GMP-ECM 6.2.1 B1=1000000, sigma=4206584356 for P33 / Jul 14, 2008)

(2·10¹⁸⁹+7)/9 =

(2)₁₈₈3_<189>

= 152681 · [1455467427002850532955785082768793905084602682863108194354387397398643067717805242448125321567334653442289624918766724230403404629405245067966690172465612762702773902595753382688233783_<184>] SUBMIT/RESERVE

(2·10¹⁹⁰+7)/9 =

(2)₁₈₉3_<190>

= 3 · 13² · 1583 · 635669777 · 4805367024376133_<16> · 473349673116939251_<18> · 1914954252621527559198990016400942093202869878913922633875945106762559627138563955460235571413693969814394426875836822009097578792050686976413_<142>

(2·10¹⁹¹+7)/9 =

(2)₁₉₀3_<191>

= 29 · 853 · 51949 · 2066899 · 8366503750237944932638857168366385347162111981052968641770959125002699813144488100474754627929640813311355908928922664578945419275373737726187657273217726906609815440324810729_<175>

(2·10¹⁹²+7)/9 =

(2)₁₉₁3_<192>

= 278010538517_<12> · 17657960083573981_<17> · 45267415178793865022593279414177916493178766018869040862949781194712129042990395067100692934628758800152329904887661692872345487452154458832769621076969369623969199_<164>

(2·10¹⁹³+7)/9 =

(2)₁₉₂3_<193>

= 3² · 630546718286548631_<18> · 50130048165294171737936457060407_<32> · [7811412730645934022108042743488628291363712137770808704266782375432812085300436524323222547951684716165173360263400908685004188370503667406791_<142>] (Makoto Kamada / GMP-ECM 5.0.3 B1=4000000, sigma=2826551082 for P32 / Mar 9, 2005) SUBMIT/RESERVE

(2·10¹⁹⁴+7)/9 =

(2)₁₉₃3_<194>

= 338502394261307_<15> · 565247200602013_<15> · 2452591065083650251793_<22> · 1289785298567858551373273_<25> · 297934672845017980420071331_<27> · 123232060132503595822634742075996929952699759609765880125532875955349308481679145587412994867_<93>

(2·10¹⁹⁵+7)/9 =

(2)₁₉₄3_<195>

= 83 · 2516573 · 123490337 · 20197166185453_<14> · [426556384158808390655531139884533614648845787605218438211224909938018221027371954432424332966649513053792506267044829770620415912333470910340028186344179890325185277_<165>] SUBMIT/RESERVE

(2·10¹⁹⁶+7)/9 =

(2)₁₉₅3_<196>

= 3 · 13 · 71783863 · [793772508175785692349547376407661148815299296167120179321918868869692622379211564304598375500912468029994151428992571492801662916637085692323079032122539574903903638900806718314672713839_<186>] SUBMIT/RESERVE

(2·10¹⁹⁷+7)/9 =

(2)₁₉₆3_<197>

= 1621 · 141974874916545385999_<21> · 2232227063658151482511_<22> · 43577960060843625073819999006811_<32> · 451432857691895875961752904940309204980009605290656993_<54> · 2198844637377041314605159450464334723319742368211499399632756249129_<67> (Wataru Sakai / GMP-ECM 6.1 B1=11000000, sigma=2904529277 for P32 / Jun 2, 2006) (Tyler Cadigan / GGNFS-0.77.1-20060722-pentium4 gnfs for P54 x P67 / 129.21 hours on Pentium 4 3.20 GHz, 1 Gig RAM, Windows XP and Cygwin / Dec 4, 2006)

(2·10¹⁹⁸+7)/9 =

(2)₁₉₇3_<198>

= 173 · 17268553 · 598758104937598948391789_<24> · [124232158222869111287211463764852236487167020766208671720729051526464137688841953549287291045839500219219361068261882656582219293831963426563138639868670404466560703_<165>] SUBMIT/RESERVE

(2·10¹⁹⁹+7)/9 =

(2)₁₉₈3_<199>

= 3 · 17 · 14249 · 1631921 · 282992363 · 16423844282900437_<17> · 26596092569686884031_<20> · [15158855823514284233452836685887209937313207494030862868357940871398349544767238556786074785640147324163997293289052269686919580129313606190117_<143>] SUBMIT/RESERVE

(2·10²⁰⁰+7)/9 =

(2)₁₉₉3_<200>

= 23 · 14017831 · 236581309 · 390199800662965745279_<21> · [746640178782662569849924784593301558723125968409510902812114891295307587708277789733003065574513509262492807285898366443481369424102031201678154865858815950974661_<162>] SUBMIT/RESERVE