Since June 16, 2000

STUDIO KAMADA

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Last update

Sequence

General term

Room for prime numbers

Prime numbers

1. 2·10¹-9 = 11 is prime.
2. 2·10²-9 = 191 is prime. (Jean Claude Rosa / Oct 14, 2002)
3. 2·10⁴-9 = 19991 is prime. (Jean Claude Rosa / Oct 14, 2002)
4. 2·10⁸-9 = 199999991 is prime. (Jean Claude Rosa / Oct 14, 2002)
5. 2·10⁴⁰-9 = 1(9)₃₉1_<41> is prime. (Jean Claude Rosa / Oct 14, 2002)
6. 2·10⁸⁶-9 = 1(9)₈₅1_<87> is prime. (Jean Claude Rosa / Oct 14, 2002)
7. 2·10²⁰⁰-9 = 1(9)₁₉₉1_<201> is prime. (Jean Claude Rosa / Oct 14, 2002)
8. 2·10⁷³⁰-9 = 1(9)₇₂₉1_<731> is prime. (Patrick De Geest / Nov 24, 2002)
9. 2·10¹⁴⁶⁰-9 = 1(9)₁₄₅₉1_<1461> is prime. (Patrick De Geest / Jul 4, 2003)
10. 2·10²³⁶⁷²-9 = 1(9)₂₃₆₇₁1_<23673> is PRP. (Patrick De Geest / Nov 25, 2004)
11. 2·10²⁸⁶³⁰-9 = 1(9)₂₈₆₂₉1_<28631> is PRP. (Patrick De Geest / Nov 26, 2004)

• 1-50000

• Plateau and Depression Primes (Patrick De Geest)

Condition

Status

Factorization results

2·10¹-9 =

11

= definitely prime number

2·10²-9 =

191

= definitely prime number

2·10³-9 =

1991

= 11 · 181

2·10⁴-9 =

19991

= definitely prime number

2·10⁵-9 =

199991

= 11 · 18181

2·10⁶-9 =

1999991

= 7 · 47 · 6079

2·10⁷-9 =

19999991

= 11 · 31 · 89 · 659

2·10⁸-9 =

199999991

= definitely prime number

2·10⁹-9 =

1999999991_<10>

= 11 · 349 · 520969

2·10¹⁰-9 =

19999999991_<11>

= 23 · 3881 · 224057

2·10¹¹-9 =

199999999991_<12>

= 11 · 19 · 1069 · 895171

2·10¹²-9 =

1999999999991_<13>

= 7 · 17 · 16806722689_<11>

2·10¹³-9 =

19999999999991_<14>

= 11 · 246209 · 7384709

2·10¹⁴-9 =

199999999999991_<15>

= 97 · 2061855670103_<13>

2·10¹⁵-9 =

1999999999999991_<16>

= 11 · 29 · 5879 · 26801 · 39791

2·10¹⁶-9 =

19999999999999991_<17>

= 73281367 · 272920673

2·10¹⁷-9 =

199999999999999991_<18>

= 11² · 6841 · 241615635431_<12>

2·10¹⁸-9 =

1999999999999999991_<19>

= 7 · 593 · 481811611659841_<15>

2·10¹⁹-9 =

19999999999999999991_<20>

= 11 · 540905219 · 3361368599_<10>

2·10²⁰-9 =

199999999999999999991_<21>

= 282893137 · 706980742343_<12>

2·10²¹-9 =

1999999999999999999991_<22>

= 11 · 188791 · 1596319 · 603304189

2·10²²-9 =

19999999999999999999991_<23>

= 31 · 645161290322580645161_<21>

2·10²³-9 =

199999999999999999999991_<24>

= 11 · 10559 · 44129 · 122039 · 319736189

2·10²⁴-9 =

1999999999999999999999991_<25>

= 7² · 71 · 1118063929_<10> · 514172601001_<12>

2·10²⁵-9 =

19999999999999999999999991_<26>

= 11 · 10567541 · 14556011 · 11820095731_<11>

2·10²⁶-9 =

199999999999999999999999991_<27>

= 249051812839_<12> · 803045750681969_<15>

2·10²⁷-9 =

1999999999999999999999999991_<28>

= 11 · 311 · 2742739 · 8543341 · 24949663829_<11>

2·10²⁸-9 =

19999999999999999999999999991_<29>

= 17 · 170321092673_<12> · 6907368722052551_<16>

2·10²⁹-9 =

199999999999999999999999999991_<30>

= 11 · 19 · 956937799043062200956937799_<27>

2·10³⁰-9 =

1999999999999999999999999999991_<31>

= 7 · 449 · 638865767 · 996038205406837511_<18>

2·10³¹-9 =

19999999999999999999999999999991_<32>

= 11 · 151 · 179 · 35332266901_<11> · 1903863596145389_<16>

2·10³²-9 =

199999999999999999999999999999991_<33>

= 23 · 3271 · 25463 · 40759 · 797063983 · 3213626057_<10>

2·10³³-9 =

1999999999999999999999999999999991_<34>

= 11 · 421 · 431872165838911682142085942561_<30>

2·10³⁴-9 =

19999999999999999999999999999999991_<35>

= 223 · 809 · 9679 · 26417 · 726350929 · 596919997679_<12>

2·10³⁵-9 =

199999999999999999999999999999999991_<36>

= 11 · 3769 · 59359 · 81268940353844096722975411_<26>

2·10³⁶-9 =

1999999999999999999999999999999999991_<37>

= 7 · 167 · 3949222367_<10> · 99892213783_<11> · 4336828601999_<13>

2·10³⁷-9 =

19999999999999999999999999999999999991_<38>

= 11 · 31² · 61 · 3329 · 246439 · 37806010866287404738031_<23>

2·10³⁸-9 =

199999999999999999999999999999999999991_<39>

= 22869686025577_<14> · 8745200951876820488652383_<25>

2·10³⁹-9 =

1999999999999999999999999999999999999991_<40>

= 11² · 59 · 131 · 139 · 15385319440502704235288428698941_<32>

2·10⁴⁰-9 =

19999999999999999999999999999999999999991_<41>

= definitely prime number

2·10⁴¹-9 =

199999999999999999999999999999999999999991_<42>

= 11 · 488085466331_<12> · 37251300102199727218170656351_<29>

2·10⁴²-9 =

1999999999999999999999999999999999999999991_<43>

= 7 · 2287 · 6343 · 219943 · 98973449 · 904778413392343544599_<21>

2·10⁴³-9 =

19999999999999999999999999999999999999999991_<44>

= 11 · 29 · 4951 · 12663285147422799865009380328472953439_<38>

2·10⁴⁴-9 =

199999999999999999999999999999999999999999991_<45>

= 17 · 607 · 255713 · 75794828714918003030146126968744953_<35>

2·10⁴⁵-9 =

1999999999999999999999999999999999999999999991_<46>

= 11 · 941 · 5099 · 80091091 · 1395506425549_<13> · 339036631874750701_<18>

2·10⁴⁶-9 =

19999999999999999999999999999999999999999999991_<47>

= 31798116143_<11> · 628968078173485649942013924922218937_<36>

2·10⁴⁷-9 =

199999999999999999999999999999999999999999999991_<48>

= 11 · 19 · 599 · 881 · 636229411 · 33826015088399_<14> · 84259019124818789_<17>

2·10⁴⁸-9 =

1999999999999999999999999999999999999999999999991_<49>

= 7 · 1062499290673_<13> · 26862015890153_<14> · 10010705959231474145977_<23>

2·10⁴⁹-9 =

19999999999999999999999999999999999999999999999991_<50>

= 11 · 475167911 · 3826398576358869868672974884833538731571_<40>

2·10⁵⁰-9 =

199999999999999999999999999999999999999999999999991_<51>

= 503 · 243233 · 2967343 · 2428201141143017_<16> · 226875241853431164439_<21>

2·10⁵¹-9 =

1999999999999999999999999999999999999999999999999991_<52>

= 11 · 89 · 1181 · 8526781 · 103313435979709_<15> · 1963611161204642162420521_<25>

2·10⁵²-9 =

19999999999999999999999999999999999999999999999999991_<53>

= 31 · 47 · 23017 · 387232169 · 1540104881436003669179279644678106231_<37>

2·10⁵³-9 =

199999999999999999999999999999999999999999999999999991_<54>

= 11 · 9161 · 1984697978585108811066675928590566730507784977821_<49>

2·10⁵⁴-9 =

1999999999999999999999999999999999999999999999999999991_<55>

= 7 · 23 · 359 · 3511 · 9855504069142983943772496450774277719796478519_<46>

2·10⁵⁵-9 =

19999999999999999999999999999999999999999999999999999991_<56>

= 11 · 24329 · 1643881 · 1852019620673087519_<19> · 24546924838605519609223051_<26>

2·10⁵⁶-9 =

199999999999999999999999999999999999999999999999999999991_<57>

= 479 · 675931247 · 1380285167_<10> · 333866376233417_<15> · 1340449492002335043713_<22>

2·10⁵⁷-9 =

1999999999999999999999999999999999999999999999999999999991_<58>

= 11 · 17939 · 6609521489_<10> · 1533448029328542179619044592123105606284311_<43>

2·10⁵⁸-9 =

19999999999999999999999999999999999999999999999999999999991_<59>

= 199 · 9728801 · 4172581807_<10> · 2475783926244725981531905989967508192287_<40>

2·10⁵⁹-9 =

199999999999999999999999999999999999999999999999999999999991_<60>

= 11 · 71 · 349291 · 425105039 · 14988753181_<11> · 1664556822956551_<16> · 69124369004420869_<17>

2·10⁶⁰-9 =

1999999999999999999999999999999999999999999999999999999999991_<61>

= 7 · 17 · 16806722689075630252100840336134453781512605042016806722689_<59>

2·10⁶¹-9 =

19999999999999999999999999999999999999999999999999999999999991_<62>

= 11² · 23279 · 3598061 · 127820029 · 47427507781_<11> · 325523665681511080222503357941_<30>

2·10⁶²-9 =

199999999999999999999999999999999999999999999999999999999999991_<63>

= 449 · 36583 · 46999087 · 9954309847472425961_<19> · 26025780417222815046075447239_<29>

2·10⁶³-9 =

1999999999999999999999999999999999999999999999999999999999999991_<64>

= 11 · 10186941682129_<14> · 185213828976342192731_<21> · 96365167462748220389917913519_<29>

2·10⁶⁴-9 =

19999999999999999999999999999999999999999999999999999999999999991_<65>

= 263 · 862596250120486216020662040487_<30> · 88159005288747673732550130223111_<32>

2·10⁶⁵-9 =

199999999999999999999999999999999999999999999999999999999999999991_<66>

= 11 · 19 · 73576271 · 13006065488737016869976161187117816842836976598651788169_<56>

2·10⁶⁶-9 =

1999999999999999999999999999999999999999999999999999999999999999991_<67>

= 7² · 245664261756742446371429272873_<30> · 166146781948400392963900622505781583_<36>

2·10⁶⁷-9 =

19999999999999999999999999999999999999999999999999999999999999999991_<68>

= 11 · 31 · 13198091 · 2975774110369_<13> · 83064859216919519_<17> · 17978241245941824709418187151_<29>

2·10⁶⁸-9 =

199999999999999999999999999999999999999999999999999999999999999999991_<69>

= 601 · 751 · 1223 · 1327 · 1762039 · 154953963782698536247047930651531943943676000440239_<51>

2·10⁶⁹-9 =

1999999999999999999999999999999999999999999999999999999999999999999991_<70>

= 11 · 269 · 5431 · 15269 · 5067505969_<10> · 50971410312541_<14> · 31555401733735929967892935334937679_<35>

2·10⁷⁰-9 =

19999999999999999999999999999999999999999999999999999999999999999999991_<71>

= 383 · 929428663 · 56184324012853329953900330736121910078530727607322415468479_<59>

2·10⁷¹-9 =

199999999999999999999999999999999999999999999999999999999999999999999991_<72>

= 11 · 29 · 109 · 136361 · 12951511 · 24584372577405139_<17> · 132477788424192996402945207561495099409_<39>

2·10⁷²-9 =

1999999999999999999999999999999999999999999999999999999999999999999999991_<73>

= 7 · 285714285714285714285714285714285714285714285714285714285714285714285713_<72>

2·10⁷³-9 =

19999999999999999999999999999999999999999999999999999999999999999999999991_<74>

= 11 · 2819 · 299777909 · 2151506233219133753265396066259903397930266654194380198978011_<61>

2·10⁷⁴-9 =

199999999999999999999999999999999999999999999999999999999999999999999999991_<75>

= 14903075017_<11> · 24973833413251591441_<20> · 537364407804581064874294092950427739989879503_<45>

2·10⁷⁵-9 =

1999999999999999999999999999999999999999999999999999999999999999999999999991_<76>

= 11 · 14732791494611_<14> · 1007927010484960949_<19> · 12243996149395867256792018490682835328767179_<44>

2·10⁷⁶-9 =

19999999999999999999999999999999999999999999999999999999999999999999999999991_<77>

= 17 · 23 · 1039 · 49230890414499481844878387392953582654972689163542556412446553714593759_<71>

2·10⁷⁷-9 =

199999999999999999999999999999999999999999999999999999999999999999999999999991_<78>

= 11 · 18181818181818181818181818181818181818181818181818181818181818181818181818181_<77>

2·10⁷⁸-9 =

1999999999999999999999999999999999999999999999999999999999999999999999999999991_<79>

= 7 · 3433 · 11057 · 147426512069387119_<18> · 51055819544426943468568569550721482086470953785642967_<53>

2·10⁷⁹-9 =

19999999999999999999999999999999999999999999999999999999999999999999999999999991_<80>

= 11 · 28020645479_<11> · 4848071658217556101_<19> · 13384129951234862675333966814839331774619359647639_<50>

2·10⁸⁰-9 =

199999999999999999999999999999999999999999999999999999999999999999999999999999991_<81>

= 3984365353_<10> · 615763509445542041_<18> · 84329318698071458777_<20> · 966670132636951212017264586117071_<33>

2·10⁸¹-9 =

1999999999999999999999999999999999999999999999999999999999999999999999999999999991_<82>

= 11 · 698452841 · 2469886138112321_<16> · 105395796334258832667738649489860221262251951222704585021_<57>

2·10⁸²-9 =

19999999999999999999999999999999999999999999999999999999999999999999999999999999991_<83>

= 31 · 12007 · 177127 · 46394563186201_<14> · 72427578264189535537_<20> · 90277176974141879819834648189657364977_<38>

2·10⁸³-9 =

199999999999999999999999999999999999999999999999999999999999999999999999999999999991_<84>

= 11² · 19 · 1060906434781_<13> · 760689010157810281_<18> · 6706874894835410693055991_<25> · 16072616910932927008429559_<26>

2·10⁸⁴-9 =

1999999999999999999999999999999999999999999999999999999999999999999999999999999999991_<85>

= 7 · 761 · 9689 · 154112537 · 251437687119225263778989847231715716387376074335038155806265443469481_<69>

2·10⁸⁵-9 =

19999999999999999999999999999999999999999999999999999999999999999999999999999999999991_<86>

= 11 · 139 · 38611 · 52189 · 10564909523685143283128817379_<29> · 614421922677651537806814146037367031790405619_<45>

2·10⁸⁶-9 =

199999999999999999999999999999999999999999999999999999999999999999999999999999999999991_<87>

= definitely prime number

2·10⁸⁷-9 =

1999999999999999999999999999999999999999999999999999999999999999999999999999999999999991_<88>

= 11 · 1637599 · 185698729 · 1804658266189414213700049391_<28> · 331303359429795821007123743278484646092092621_<45>

2·10⁸⁸-9 =

19999999999999999999999999999999999999999999999999999999999999999999999999999999999999991_<89>

= 4702594789293358220779193_<25> · 4252971156591046005277497048988465578309324788247970903656381487_<64>

2·10⁸⁹-9 =

199999999999999999999999999999999999999999999999999999999999999999999999999999999999999991_<90>

= 11 · 461 · 518341 · 30686874688261752469374495132871_<32> · 2479523124787057654376748439554576041515369667411_<49> (Tetsuya Kobayashi)

2·10⁹⁰-9 =

1999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991_<91>

= 7 · 5743 · 1569161071_<10> · 9177955008827624831100509280088159_<34> · 3454456193422676960797304000075969739228719_<43>

2·10⁹¹-9 =

19999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991_<92>

= 11 · 3837889829531477287765030012452916487459_<40> · 473745182623905220252084481452379767965484433955959_<51> (Tetsuya Kobayashi)

2·10⁹²-9 =

199999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991_<93>

= 17 · 41719 · 129310897 · 5185728791082261297603911_<25> · 420535109862140200194491107494918538812791186339965751_<54> (Tetsuya Kobayashi)

2·10⁹³-9 =

1999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991_<94>

= 11 · 42519528089_<11> · 15007925948617741706014894901261653159_<38> · 284923451440497315611905436324802564574415531_<45> (Tetsuya Kobayashi)

2·10⁹⁴-9 =

19999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991_<95>

= 71 · 257 · 449 · 311659154498655673_<18> · 15582709370629701161_<20> · 502654209187386329938742013378641361311535296507249_<51>

2·10⁹⁵-9 =

199999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991_<96>

= 11 · 89 · 1614149 · 3208533603163552021_<19> · 170003728747829609154624481_<27> · 232027063348552646241296037648633500323621_<42>

2·10⁹⁶-9 =

1999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991_<97>

= 7 · 2959968191_<10> · 89702299849_<11> · 1391901576011417_<16> · 3754812050209796153_<19> · 205894432967825576185719968107845579508807_<42>

2·10⁹⁷-9 =

19999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991_<98>

= 11 · 31 · 59 · 61 · 191 · 126271 · 55768451 · 305452591 · 2251385779481_<13> · 17618724677425071671784264623789242536856340618575092529_<56>

2·10⁹⁸-9 =

199999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991_<99>

= 23 · 47 · 5481927244780791569_<19> · 33749786850391023485940722220440056940053553577732261544990618650004208918719_<77>

2·10⁹⁹-9 =

1999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991_<100>

= 11 · 29 · 919 · 668639342089243085299_<21> · 14762311076206596302501_<23> · 691158290945453415809586448213697497358573444151169_<51>

2·10¹⁰⁰-9 =

19999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991_<101>

= 4739143 · 4573967723977_<13> · 922650213479204150032549075155424866683684367063300609483609933949012880196577481_<81>

2·10¹⁰¹-9 =

1(9)₁₀₀1_<102>

= 11 · 19³ · 1559 · 3929 · 814869736566609349_<18> · 531080279074329811549193426242635276219790073861711605689766610870433181_<72>

2·10¹⁰²-9 =

1(9)₁₀₁1_<103>

= 7 · 85009 · 284156489537_<12> · 12720431958892201187993_<23> · 929838683912369476841837029095350554286473305287063843960454377_<63>

2·10¹⁰³-9 =

1(9)₁₀₂1_<104>

= 11 · 73721 · 944279221 · 25093621345034999_<17> · 1040836034603295951020514841066319747972655779422221919544149299889819759_<73>

2·10¹⁰⁴-9 =

1(9)₁₀₃1_<105>

= 58246367832510471330922533301678866841362759833_<47> · 3433690501957258584231539706004296854340296493847755296527_<58> (Makoto Kamada / SNFS / 8:06:04:89)

2·10¹⁰⁵-9 =

1(9)₁₀₄1_<106>

= 11³ · 2971 · 20599921 · 5659518290751751_<16> · 1070317885998757833926482645825851901_<37> · 4053138858740958727027836989962856809621_<40>

2·10¹⁰⁶-9 =

1(9)₁₀₅1_<107>

= 113 · 151 · 2713 · 63113047 · 411665601962159_<15> · 1432111535005091142017_<22> · 11611390766636117670384446064721333547715431796204997729_<56>

2·10¹⁰⁷-9 =

1(9)₁₀₆1_<108>

= 11 · 52981 · 355525815660275383459613214754961_<33> · 965263796763183037481762891813628879233328943534391097601992763507841_<69> (Robert Backstrom / GMP-ECM 5.0c)

2·10¹⁰⁸-9 =

1(9)₁₀₇1_<109>

= 7² · 17 · 1813106638159485199_<19> · 1324224584269856521943230565035264850203152761706792328409849922321578856016283869002073_<88>

2·10¹⁰⁹-9 =

1(9)₁₀₈1_<110>

= 11 · 7854434914481_<13> · 231484739255995064985784945791920228634829602740847811282765188237297057609311031012732073407701_<96>

2·10¹¹⁰-9 =

1(9)₁₀₉1_<111>

= 97 · 1841341838064183395175874922541951809_<37> · 1119757139864229255891290602518972434056764124343105959652676734802902167_<73> (Tetsuya Kobayashi / NFSX 1.8)

2·10¹¹¹-9 =

1(9)₁₁₀1_<112>

= 11 · 8344960682147582539_<19> · 1156089100292742055124651_<25> · 18846109453076619520247177339329395464997784606309477022326870383629_<68>

2·10¹¹²-9 =

1(9)₁₁₁1_<113>

= 31 · 997496911 · 174038483110194129004712807_<27> · 3716305883993959982617433460653691519920563429334657011003571487209773092193_<76>

2·10¹¹³-9 =

1(9)₁₁₂1_<114>

= 11 · 149 · 122025625381330079316656497864551555826723611958511287370347773032336790726052471018913971934106162294081757169_<111>

2·10¹¹⁴-9 =

1(9)₁₁₃1_<115>

= 7 · 350431 · 546241 · 17149772513_<11> · 7132522710977830981296719_<25> · 963586917546074670988104859727_<30> · 12663469868819886488801157501096575887_<38> (Tetsuya Kobayashi / GMP-ECM 5.0.1 B1=250000)

2·10¹¹⁵-9 =

1(9)₁₁₄1_<116>

= 11 · 3969947675674974075325996365289549567648871_<43> · 457986343075085812910403468446788759785902892257732718573067650529098611_<72> (Robert Backstrom / NFSX v1.8)

2·10¹¹⁶-9 =

1(9)₁₁₅1_<117>

= 1300077873236814617625875427828886902290588172083356016807_<58> · 153836938630497839571709555448490510158389234978218219454513_<60> (Robert Backstrom / NFSX v1.8)

2·10¹¹⁷-9 =

1(9)₁₁₆1_<118>

= 11 · 147275489 · 24469994737259_<14> · 41414714242405865473394362405266901_<35> · 1218199149732943613769732728577161927926373873717269492670131_<61> (Robert Backstrom / NFSX v1.8)

2·10¹¹⁸-9 =

1(9)₁₁₇1_<119>

= 6271 · 777648281 · 29458936251591842088888931959868494080794462012513_<50> · 139217207425244098873436846882057928906682882694072426257_<57> (Robert Backstrom / NFSX v1.8)

2·10¹¹⁹-9 =

1(9)₁₁₈1_<120>

= 11 · 19 · 3525343069_<10> · 12830777786521666579063883794076551_<35> · 21155794470796657835817597776291486582930993643991210891207607504380429621_<74> (Robert Backstrom / NFSX v1.8)

2·10¹²⁰-9 =

1(9)₁₁₉1_<121>

= 7 · 23² · 937 · 561097 · 1034233 · 30956857 · 32086584760886232435260255164910602361731689772346415867148089697425319897877860320867391188833_<95>

2·10¹²¹-9 =

1(9)₁₂₀1_<122>

= 11 · 1051 · 79280891 · 20144637692819865339657824839_<29> · 10489573112550245363753764243159_<32> · 103263965092626010157759995764072167016601312937741_<51>

2·10¹²²-9 =

1(9)₁₂₁1_<123>

= 4831 · 8719 · 26111 · 318310799 · 571283134592509917770648860992931202988496863968094089615704423026047275318150366184605109917824279671_<102>

2·10¹²³-9 =

1(9)₁₂₂1_<124>

= 11 · 509 · 6741559648522798608961389652036416202320903697879152911_<55> · 52985757401382608119750656846599231077949363231208239596430954119_<65> (Robert Backstrom / NFSX v1.8)

2·10¹²⁴-9 =

1(9)₁₂₃1_<125>

= 17 · 401 · 4244688115289_<13> · 29168872800930361_<17> · 23695794222845543472144587669128208477570378616737857497538855252112745603749750074308922087_<92>

2·10¹²⁵-9 =

1(9)₁₂₄1_<126>

= 11 · 349 · 1430997457979_<13> · 36406004737431600073777554780869053446902351175118673830744727930164953673092068664391474400522986744339900811_<110>

2·10¹²⁶-9 =

1(9)₁₂₅1_<127>

= 7 · 449 · 2744573888374974060345943730911359860900897570077723540177_<58> · 231851915065514293604722643132995107535289072169906760240165370881_<66> (Robert Backstrom / NFSX v1.8)

2·10¹²⁷-9 =

1(9)₁₂₆1_<128>

= 11² · 29 · 31 · 599399 · 2848739 · 794801472802789_<15> · 17045983166123225959_<20> · 7947591560253927552849580220915157175710611102965496042279964350835133911739_<76>

2·10¹²⁸-9 =

1(9)₁₂₇1_<129>

= 24342640238672508623881009393_<29> · 8216035649340341089902476985988296609514057949756161264597798825789716110953918210637129768156579687_<100> (Tetsuya Kobayashi / GMP-ECM 5.0.1 B1=250000)

2·10¹²⁹-9 =

1(9)₁₂₈1_<130>

= 11 · 71 · 237859 · 3620929774119161145065008275818860531_<37> · 3194496410275118558619826433857192151411_<40> · 930758190542741141297577277292754927901684969_<45> (Robert Backstrom / GMP-ECM 5.0c, PPSIQS Ver 1.1)

2·10¹³⁰-9 =

1(9)₁₂₉1_<131>

= 193 · 4639 · 2618352182233_<13> · 423055140719303_<15> · 205956770194082476817_<21> · 97914543563056064554749600829609152424912014602205835291688154827201383381751_<77>

2·10¹³¹-9 =

1(9)₁₃₀1_<132>

= 11 · 139 · 121141655523918011_<18> · 660681793720134019_<18> · 255234654554421703109524862149_<30> · 6403199397620080243415089796785880325998809233259881532578467219_<64> (Tetsuya Kobayashi / GMP-ECM 5.0.1 B1=250000)

2·10¹³²-9 =

1(9)₁₃₁1_<133>

= 7 · 27743 · 49955005113339505177_<20> · 11247549729990561991216522489_<29> · 18329119554344267438037680207487927672825047706285748799968475794628047934135647_<80> (Tetsuya Kobayashi / GMP-ECM 5.0.1 B1=250000)

2·10¹³³-9 =

1(9)₁₃₂1_<134>

= 11 · 3089 · 588598840460284293239942317313634892139262485652903263780570352276406015480149504105476912210482945348597663262603372671355837429_<129>

2·10¹³⁴-9 =

1(9)₁₃₃1_<135>

= 158800147201_<12> · 58162433076076080770392918305091655606634983253482373981793_<59> · 21653920060883623476839767076368426645852142119974389294590361687_<65> (Robert Backstrom / NFSX v1.8)

2·10¹³⁵-9 =

1(9)₁₃₄1_<136>

= 11 · 439 · 153786680434528085060726068335061_<33> · 345063667656267171646118159465539_<33> · 7804675190477549930518786297471879204229396433729266237711035950301_<67> (Robert Backstrom / GMP-ECM 5.0c)

2·10¹³⁶-9 =

1(9)₁₃₅1_<137>

= 115525247 · 2717026063_<10> · 4535926271009657_<16> · 22533562178525023361_<20> · 1248987189170342404235704172777_<31> · 499120563718165570649877011896877136304172960831516039_<54>

2·10¹³⁷-9 =

1(9)₁₃₆1_<138>

= 11 · 19 · 419 · 3491 · 236701 · 174401772469481941_<18> · 44122787807001685051_<20> · 43143117777902240545629269_<26> · 8325194323122042227380045898351461187089905845919036118568489_<61>

2·10¹³⁸-9 =

1(9)₁₃₇1_<139>

= 7 · 1361 · 28067396514726202523860938206489746457258001501485978553895083833_<65> · 7479485083314129370275849920397548796557371512278764262868303993853001_<70> (Greg Childers / GGNFS)

2·10¹³⁹-9 =

1(9)₁₃₈1_<140>

= 11 · 89² · 13747381 · 7146571832041_<13> · 17963539613629_<14> · 130061167717437332083824666512298983881870883441403315869480225811084928632218463637178809414366259629_<102>

2·10¹⁴⁰-9 =

1(9)₁₃₉1_<141>

= 17 · 59113 · 11920269538992421121435956097648950019099811559_<47> · 16695983163826097420159437859577435460952586279369215627290094387500562238589852030582969_<89> (Greg Childers / GGNFS)

2·10¹⁴¹-9 =

1(9)₁₄₀1_<142>

= 11 · 631 · 13166084339_<11> · 166073887821810483025497421_<27> · 7182404357407176819191288294411_<31> · 18347635945878811125425180600708486525299918329547912228632200452871839_<71> (Tetsuya Kobayashi / GMP-ECM 5.0.1 B1=250000) (Robert Backstrom / GMP-ECM 5.0c)

2·10¹⁴²-9 =

1(9)₁₄₁1_<143>

= 23 · 31 · 4821403844377_<13> · 1925837354763431152978123661821696597769_<40> · 3020976519048945912969246806072424580400392622424521165416090871659382240657443469991839_<88> (Robert Backstrom / GMP-ECM 5.0c)

2·10¹⁴³-9 =

1(9)₁₄₂1_<144>

= 11 · 414389 · 636499 · 808651 · 2829709 · 68895319511_<11> · 148810761068999180150604202077241_<33> · 2938355958031759584343133195531046718361797091700151490971832113763607251419_<76> (Robert Backstrom / GMP-ECM 5.0c)

2·10¹⁴⁴-9 =

1(9)₁₄₃1_<145>

= 7 · 47 · 1697 · 4751 · 15421121 · 324513125593_<12> · 573979583578236121980436103332418434430645159014685375809_<57> · 262495926279377751706900324634363777228196866952780943282841_<60> (Greg Childers / GGNFS)

2·10¹⁴⁵-9 =

1(9)₁₄₄1_<146>

= 11 · 128631961 · 3058504163210787541565734541_<28> · 4621461548680485432770137084655508103711899990253073462930407206738395008931268027893096129138805531956481281_<109>

2·10¹⁴⁶-9 =

1(9)₁₄₅1_<147>

= 1471 · 958054117111388133836953_<24> · 248481397786006983813082785705803914377145937759_<48> · 571127931149896369612391508288727305834841885540092677990337631749027823_<72> (Greg Childers / GGNFS)

2·10¹⁴⁷-9 =

1(9)₁₄₆1_<148>

= 11 · 68180906411_<11> · 1623435592189_<13> · 49499916383731193531_<20> · 80860585291091922488687339449_<29> · 752237361418547331317351905668601661_<36> · 545560892455767788091635557127182197821_<39> (Tetsuya Kobayashi / GMP-ECM 5.0.1 B1=250000)

2·10¹⁴⁸-9 =

1(9)₁₄₇1_<149>

= 57431787553239244660626976882036073_<35> · 252248599228180796094726301293542573587723903_<45> · 1380539695291779642420640847677458347322068680428219755758017617145889_<70> (Greg Childers / GGNFS)

2·10¹⁴⁹-9 =

1(9)₁₄₈1_<150>

= 11² · 1346265092881_<13> · 387992200624859100187751_<24> · 2531711749931587522393223600637769_<34> · 1249904372706401956986958189545297767572898964186908737074327655472199107457889_<79> (Robert Backstrom / GMP-ECM 5.0c)

2·10¹⁵⁰-9 =

1(9)₁₄₉1_<151>

= 7² · 313 · 5857 · 19249 · 48073 · 2145366910370960233318195778943906318667242154816224697409_<58> · 11215105892080335130809942373623305706116017816514634296425819268673685145143_<77> (Greg Childers / GGNFS)

2·10¹⁵¹-9 =

1(9)₁₅₀1_<152>

= 11 · 28977484241_<11> · 18375169252060969_<17> · 22548083877070097907679_<23> · 18013004842843604596374731_<26> · 4655013022923270932988561001253591_<34> · 1806045038483440273580255784582611178647471_<43> (Makoto Kamada / msieve 0.86 / 12 minutes)

2·10¹⁵²-9 =

1(9)₁₅₁1_<153>

= 1116296695923497978473_<22> · 5199593364457887425999_<22> · 34457278693517194077316857526581508846708883813704415804700412601291268625407614569807538834906796005729342833_<110>

2·10¹⁵³-9 =

1(9)₁₅₂1_<154>

= 11 · 14143455769740740001759009960126743688349_<41> · 453912657024767148614711372141519336680287959_<45> · 28321058492200039254937740121739341593546053812714710601460743639391_<68> (suberi / GGNFS-0.77.1-20060513-pentium4 / 37.97 hours on Pentium 4 2.26GHz, Windows XP and Cygwin / Jun 20, 2006)

2·10¹⁵⁴-9 =

1(9)₁₅₃1_<155>

= 682199509510458346711_<21> · 29316936938802347979391917249290618328209010966349894409649251807510494055398191134873193977207410428908272133807507630300782707712481_<134>

2·10¹⁵⁵-9 =

1(9)₁₅₄1_<156>

= 11 · 19 · 29 · 59 · 521564171 · 45948806279_<11> · 631230959468165622425170279_<27> · 36971189687843049014584624398373318741185394002800764771942255530825232021645069972337431397407461591019_<104>

2·10¹⁵⁶-9 =

1(9)₁₅₅1_<157>

= 7 · 17² · 4463 · 10284359 · 2849130261940733497_<19> · 16898555617138742719_<20> · 631855909108883008824359866689035739181056737_<45> · 708027384596563532504630820087246335731726729305545444147311_<60> (Anton Korobeynikov / GGNFS-0.73.3 gnfs / 21.71 hours for P45 x P60 / Mar 9, 2005)

2·10¹⁵⁷-9 =

1(9)₁₅₆1_<158>

= 11 · 31 · 61 · 199 · 389 · 719310401 · 17267392614467203203092890110854489739887276370136967572293760711488767643188574186970711036416614936152764854616791944513844744416108175581_<140>

2·10¹⁵⁸-9 =

1(9)₁₅₇1_<159>

= 449 · 647 · 263423 · 24629981367007296663635744349139127212651564923379917379247_<59> · 106111291216604957235287331858373630426835509120007905601583219050565604016518888425492737_<90> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 37.18 hours on Cygwin on AMD XP 2700+ / Apr 26, 2007)

2·10¹⁵⁹-9 =

1(9)₁₅₈1_<160>

= 11 · 24691 · 52861 · 266261 · 4151011 · 40930808775623536636245772098276860041853369431_<47> · 3079296349757713797324715535825813229817563878384139018839754824005144136790174117702778331_<91> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 23.56 hours on Core 2 Quad Q6600 / Jul 28, 2007)

2·10¹⁶⁰-9 =

1(9)₁₅₉1_<161>

= 158642813009799873789292199_<27> · 514829968216555250825419476063055331353216130401_<48> · 244875747315362559771904473968778705005860870814895857896156971504755878896463497536209_<87> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / 39.32 hours on Cygwin on AMD XP 2700+ / Oct 6, 2007)

2·10¹⁶¹-9 =

1(9)₁₆₀1_<162>

= 11 · 8009 · 46649 · 5470052140709707519_<19> · 21260817950106947166511_<23> · 38623719592924262442438059227864671483234091_<44> · 10834057799333342211229610150242910516634871944815694724812226195039_<68> (Cedric Vonck / GGNFS-0.77.1-20050930-pentium4 gnfs for P44 x P68 / 38.14 hours on Pentium 4 3.0 Ghz Windows Xp Pro Sp2 - 512 Mb / Jan 22, 2006)

2·10¹⁶²-9 =

1(9)₁₆₁1_<163>

= 7 · 2166233 · 2135889447020276760751_<22> · 61751572044055904905787426693315371750047528441837089424630652723251573766088926827349503905369000230889497829598793774110690098420311_<134>

2·10¹⁶³-9 =

1(9)₁₆₂1_<164>

= 11 · 1818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181_<163>

2·10¹⁶⁴-9 =

1(9)₁₆₃1_<165>

= 23 · 71 · 627656571791_<12> · 197829276153372503_<18> · 400404802647198353513_<21> · 2463382719864551929861374144340515770390327134582352152793573794219905024407065447563530700577846252346990643223_<112>

2·10¹⁶⁵-9 =

1(9)₁₆₄1_<166>

= 11 · 457527644458064916785243595451_<30> · 10380464989853334806493414428274868458216509448469_<50> · 38282753110901991590906115105218234489358257188870210443245138602465182775068426383299_<86> (Makoto Kamada / GMP-ECM 6.0.1 B1=11000000, sigma=3982948600 for P30 / Apr 9, 2005) (matsui / GGNFS-0.77.1-20060513-prescott snfs / Mar 14, 2008)

2·10¹⁶⁶-9 =

1(9)₁₆₅1_<167>

= 4342608369450320053307697679764984011450663_<43> · 4605526977909722451833107953713650779997398871974627226660275324682668177795505331963035514480056136584527504258436835169457_<124> (Jo Yeong Uk / GGNFS-0.77.1-20050930-k8 / 69.64 hours on Core 2 Duo E6300@2.33GHz / Feb 15, 2007)

2·10¹⁶⁷-9 =

1(9)₁₆₆1_<168>

= 11 · 25693999 · 213778048882883699682952867750597400299228114685941_<51> · 253294029617274149322595661355934135791715095080163601_<54> · 13068253350533572176578369071664035808002504957074122959_<56> (Robert Backstrom / GGNFS-0.77.1-20060513-athlon-xp snfs, Msieve 1.29 / Nov 16, 2007)

2·10¹⁶⁸-9 =

1(9)₁₆₇1_<169>

= 7 · 1087 · 8537489959_<10> · 367694783292840547667053261930530350154041_<42> · 17966034076031944574391153471623679589453353622292711_<53> · 4660500063909969005743702902671272798968399002082218677735511_<61> (Makoto Kamada / GMP-ECM 5.0.3 B1=400000, sigma=4275561283 for P42) (Sinkiti Sibata / GGNFS-0.77.1 gnfs for P53 x P61 / 58.38 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Mar 30, 2006)

2·10¹⁶⁹-9 =

1(9)₁₆₈1_<170>

= 11 · 131 · 1218179 · 4915970726941_<13> · 166065331635001_<15> · 13956182537834658156643457652618573113257477876537309557957964583738064010532136928903626428256160603561645591634168121739550131758409_<134>

2·10¹⁷⁰-9 =

1(9)₁₆₉1_<171>

= 2927 · 175911118129_<12> · 20461530396754200059131643273_<29> · 18983481832409700627689118817669173998276546104832673602564601813378340117732096379364534168100333930658183775574866300916838849_<128>

2·10¹⁷¹-9 =

1(9)₁₇₀1_<172>

= 11² · 541 · 77524813986331865479_<20> · [394100174697043004838539593002983099367808553229957770683998441635701130267488944600681360858762371681150198206332923818452547248578192678671290989_<147>] SUBMIT/RESERVE

2·10¹⁷²-9 =

1(9)₁₇₁1_<173>

= 17 · 31 · 20023 · 6637427143417951_<16> · [285555458356763129168067288530927414585092843830940080941964946733783405647248783370316145632743341813305821377190485658733089506833402589555843929521_<150>] SUBMIT/RESERVE

2·10¹⁷³-9 =

1(9)₁₇₂1_<174>

= 11 · 19 · 421 · 3041 · 747455244706401429831056166705899969581935089050640612310253767820047787878360583539654961728067791679245248396176872561971504995417183717274993893384082654288618459_<165>

2·10¹⁷⁴-9 =

1(9)₁₇₃1_<175>

= 7 · 67807 · 195697 · 7483601 · 90799214287_<11> · [31686957589073285761807892819215013307369356205862482210093434465028676670208122044783251013705066347584945209277538832643533321847488377330977281_<146>] SUBMIT/RESERVE

2·10¹⁷⁵-9 =

1(9)₁₇₄1_<176>

= 11 · 2104936691786471_<16> · 2999235301404108672880852229001943743610905187225557697685545402923389_<70> · 287996846831064477423205097882532373558238456659108938210015914290084744018871680277303599_<90> (Serge Batalov / Msieve-1.38 snfs / 35.00 hours on Opteron-2.6GHz; Linux x86_64 / Oct 7, 2008)

2·10¹⁷⁶-9 =

1(9)₁₇₅1_<177>

= 977 · 30422398200031601_<17> · [6728867636922855570641514812011010737183113846390327374589159427954663065653159846521757274613750153798137304895220080364758816748940504406121269869583292983_<157>] SUBMIT/RESERVE

2·10¹⁷⁷-9 =

1(9)₁₇₆1_<178>

= 11 · 139 · 1308044473512099411379986919555264879005886200130804447351209941137998691955526487900588620013080444735120994113799869195552648790058862001308044473512099411379986919555264879_<175>

2·10¹⁷⁸-9 =

1(9)₁₇₇1_<179>

= 911 · 18481 · 289228011298481_<15> · [4107199516776429689449802136950335929831210546914471632007192360209740455308748824686224793397949054701686561638856055270284791123344636105057961525788657721_<157>] SUBMIT/RESERVE

2·10¹⁷⁹-9 =

1(9)₁₇₈1_<180>

= 11 · 109 · 1531 · 197084090167072070444501_<24> · 30192185167289557139962813541_<29> · 11175180923359872868625684424731_<32> · 38745744185364135989275373176013064492968519_<44> · 42287395639301185430766513250585783292869637311_<47> (anonymous / GMP-ECM B1=250e3 for P32 / Jan 26, 2007) (Shaopu Lin / Msieve v. 1.16 for P44 x P47 / Jan 27, 2007)

2·10¹⁸⁰-9 =

1(9)₁₇₉1_<181>

= 7 · 82939584913_<11> · 871243568591655604819543_<24> · 3953943989419104295200149896389163303020815255328731181790802826878235261637229213699474019776459427102972654594165197833246715355092773554133607_<145>

2·10¹⁸¹-9 =

1(9)₁₈₀1_<182>

= 11 · 151 · 10799 · 16385760357836479_<17> · 68047194271676624979683442959271990905014592809411007915004486534294561269469642532600595836182252888373831755597344750327974753436728402956615993566243862611_<158>

2·10¹⁸²-9 =

1(9)₁₈₁1_<183>

= 311 · 691199 · 2752961 · 463656400827184289_<18> · [728903753881658350795823500615981656593043611404566093167778297630231023194835715599656703023603236285805685407552734602578652813338479370291733774111_<150>] SUBMIT/RESERVE

2·10¹⁸³-9 =

1(9)₁₈₂1_<184>

= 11 · 29 · 89 · 181 · [389198117604384394634436911082435858690725856435322764917915198011353298288637497175881159133185736433867163958074800375420504241189187064377844430117629293074161117512339039821_<177>] SUBMIT/RESERVE

2·10¹⁸⁴-9 =

1(9)₁₈₃1_<185>

= 44460607 · 1515650074457_<13> · 296794373051824221415342858566714125768918553733260051315696066534502162022380447724011729666621686211314993312220371601699994516844707551502654447480403622971178609_<165>

2·10¹⁸⁵-9 =

1(9)₁₈₄1_<186>

= 11 · 431 · 712822190229871_<15> · [59180527171375059878210407634966176176299755971736156913040388571767034207133107622836043757275882868752212446119287097923960247043151231543775404099179531446176311781_<167>] SUBMIT/RESERVE

2·10¹⁸⁶-9 =

1(9)₁₈₅1_<187>

= 7 · 23 · 2423 · 19559 · 56543 · [4635805556487289665034939157882645567714761867371559512727910937870783483097669657130391203420716022208665008843877387800755993605307864525001795879103430635215868003019881_<172>] SUBMIT/RESERVE

2·10¹⁸⁷-9 =

1(9)₁₈₆1_<188>

= 11 · 31 · 232591 · 1114999 · 33386162835946576289_<20> · 6773945928077052881314007320331858765099546017999350259081226295105722658975983441320119057927058199782700840076712366137904062328166651794261630018618451_<154>

2·10¹⁸⁸-9 =

1(9)₁₈₇1_<189>

= 17 · 156083835959_<12> · 116098705756986833_<18> · 1528557664610115047105616481_<28> · [424730979321609056444211982014719865751281575611959204819716385342249694232869193979489060533511688985047286901474261914078857029889_<132>] (Makoto Kamada / GMP-ECM 5.0.3 B1=4000000, sigma=1508648790 for P28) SUBMIT/RESERVE

2·10¹⁸⁹-9 =

1(9)₁₈₈1_<190>

= 11 · 27109 · 123004222519_<12> · 22228635033329_<14> · [2452962999446689235894806536894865607763530227902453645920418523313364727701905618716995144031226762299719971411746777858385590158275484242433139924681941409559_<160>] SUBMIT/RESERVE

2·10¹⁹⁰-9 =

1(9)₁₈₉1_<191>

= 47 · 449 · 11622972521_<11> · [81539601695013371282290983020963203529956783349650803941038865176314430561906707087346424384268609641072428783668590595660541321733939776427776966477112441503411463584554429457_<176>] SUBMIT/RESERVE

2·10¹⁹¹-9 =

1(9)₁₉₀1_<192>

= 11 · 19 · 23864081784098238712567049_<26> · 778219755946725917399850386711_<30> · 51527222038994152650195531815232912991979495275318766226747424885244754562768982626118823605600262353516678700395732460832634976485641_<134> (Makoto Kamada / GMP-ECM 5.0.3 B1=78530, sigma=1599640853 for P30) (Makoto Kamada / GMP-ECM 5.0.3 B1=400000, sigma=1965997098 for P26)

2·10¹⁹²-9 =

1(9)₁₉₁1_<193>

= 7² · 191 · 234467264994790103711_<21> · 911419530857067556001147013020418456227492530421410228637842914234618285403694896154707127343878769970497762657753800466250709908952565473342882531764640722687061618759_<168>

2·10¹⁹³-9 =

1(9)₁₉₂1_<194>

= 11² · 229 · 751 · [961101391439344963268867297318974030031246847887780263773315779136785824177360881895103568045666155953405612322742268311732659652516675229279146565030835256216896364292795886716708973549_<186>] SUBMIT/RESERVE

2·10¹⁹⁴-9 =

1(9)₁₉₃1_<195>

= 851881 · 36229185784529250353_<20> · 350679958567627000639_<21> · 18479130959171056066202249179555223942942853525648955297838539947174590476462413142824103269527475771008766372922452370390958506797084358259337854833_<149>

2·10¹⁹⁵-9 =

1(9)₁₉₄1_<196>

= 11 · 36288541519_<11> · [5010346908623627844562704532269240748314522577332183196519670019923729582884099096222534470105116428726809150927402468092060720821999090885585342552057660120970214234698513516244416299_<184>] SUBMIT/RESERVE

2·10¹⁹⁶-9 =

1(9)₁₉₅1_<197>

= 577 · 13780783 · 14719751 · [170875510424486461724022495445530443225166342325779183864068761999120438842258539011819641953722893737390157172148746441804495327770721294652403506475665697303389029524529697197951_<180>] SUBMIT/RESERVE

2·10¹⁹⁷-9 =

1(9)₁₉₆1_<198>

= 11 · 24422549 · 3069053877636163811209_<22> · [242572636363233040808316618377451328523548658758329410992889879722702152817462579101826356095718300391828851168107079087073162000114787870208820723324182216784995244841_<168>] SUBMIT/RESERVE

2·10¹⁹⁸-9 =

1(9)₁₉₇1_<199>

= 7 · 64713901797511_<14> · [4415037229686477379894344864133083977522454560672759553608445600528094496466116541840008144252462088220588368592161292980662212890139069966714175637319357205672339259247140105249849383_<184>] SUBMIT/RESERVE

2·10¹⁹⁹-9 =

1(9)₁₉₈1_<200>

= 11 · 71 · 3779 · 315521 · 10482811 · [2048783389441440771229557973075720287058355428296910864030509219645134206492641019751555022949028607089243046628799041351027126055177108318048575972923088961577398713918207923863939_<181>] SUBMIT/RESERVE

2·10²⁰⁰-9 =

1(9)₁₉₉1_<201>

= definitely prime number