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Factorizations of 244...443

About 244...443
- First ten terms
- General term
Prime numbers of the form 244...443
Factorizations of 244...443
References

1. About 244...443

First ten terms

23, 243, 2443, 24443, 244443, 2444443, 24444443, 244444443, 2444444443, 24444444443

General term

(22·10ⁿ-13)/9

2. Prime numbers of the form 244...443

Last update

Jun 25, 2009

Searched up to

n≤10000

Difficulty of search

19.31%

Results

(22·10¹-13)/9 = 23 is prime. (Makoto Kamada / Oct 9, 2004)
(22·10⁴-13)/9 = 24443 is prime. (Makoto Kamada / Oct 9, 2004)
(22·10⁷-13)/9 = 24444443 is prime. (Makoto Kamada / Oct 9, 2004)
(22·10¹²-13)/9 = 2(4)₁₁3_<13> is prime. (Makoto Kamada / Oct 9, 2004)
(22·10³⁰-13)/9 = 2(4)₂₉3_<31> is prime. (Makoto Kamada / PPSIQS / Oct 9, 2004)
(22·10⁹⁴-13)/9 = 2(4)₉₃3_<95> is prime. (Makoto Kamada / PPSIQS / Oct 9, 2004)
(22·10¹⁷⁸-13)/9 = 2(4)₁₇₇3_<179> is prime. (Makoto Kamada / PPSIQS / Oct 9, 2004)
(22·10¹⁹⁶-13)/9 = 2(4)₁₉₅3_<197> is prime. (Makoto Kamada / PPSIQS / Oct 9, 2004)
(22·10⁵⁶⁴-13)/9 = 2(4)₅₆₃3_<565> is prime. (searched by Makoto Kamada / Oct 9, 2004) (certified by Makoto Kamada / PFGW / Dec 31, 2004)
(22·10¹⁸⁰¹-13)/9 = 2(4)₁₈₀₀3_<1802> is prime. (searched by Makoto Kamada / Oct 9, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Jun 23, 2006)
(22·10³⁵²⁰-13)/9 = 2(4)₃₅₁₉3_<3521> is prime. (searched by Makoto Kamada / Oct 9, 2004) (certified by Serge Batalov / PFGW / Jun 23, 2009)
(22·10³⁵³⁸-13)/9 = 2(4)₃₅₃₇3_<3539> is PRP. (Makoto Kamada / Oct 9, 2004)
(22·10⁸²³³-13)/9 = 2(4)₈₂₃₂3_<8234> is PRP. (Makoto Kamada / Oct 9, 2004)

3. Factorizations of 244...443

Last update

Jun 25, 2009

Completed up to

n≤100 / Oct 9, 2004
n≤150 / Jul 2, 2008

Range

n≤205

Terms which have not been factored yet

n=175, 180, 181, 188, 189, 193, 194, 197, 198, 201, 203, 205 (12/205)

Results

(22·10¹-13)/9 =: 23; = definitely prime number

(22·10²-13)/9 =: 243; = 3⁵

(22·10³-13)/9 =: 2443; = 7 · 349

(22·10⁴-13)/9 =: 24443; = definitely prime number

(22·10⁵-13)/9 =: 244443; = 3 · 17 · 4793

(22·10⁶-13)/9 =: 2444443; = 31 · 78853

(22·10⁷-13)/9 =: 24444443; = definitely prime number

(22·10⁸-13)/9 =: 244444443; = 3 · 19 · 1867 · 2297

(22·10⁹-13)/9 =: 2444444443_<10>; = 7 · 241 · 1448989

(22·10¹⁰-13)/9 =: 24444444443_<11>; = 1103 · 22161781

(22·10¹¹-13)/9 =: 244444444443_<12>; = 3² · 59 · 97 · 4745849

(22·10¹²-13)/9 =: 2444444444443_<13>; = definitely prime number

(22·10¹³-13)/9 =: 24444444444443_<14>; = 131 · 167 · 1117358159_<10>

(22·10¹⁴-13)/9 =: 244444444444443_<15>; = 3 · 1367 · 59606058143_<11>

(22·10¹⁵-13)/9 =: 2444444444444443_<16>; = 7 · 349206349206349_<15>

(22·10¹⁶-13)/9 =: 24444444444444443_<17>; = 23473 · 494677 · 2105183

(22·10¹⁷-13)/9 =: 244444444444444443_<18>; = 3 · 1741 · 2256379 · 20741879

(22·10¹⁸-13)/9 =: 2444444444444444443_<19>; = 75397463 · 32420778461_<11>

(22·10¹⁹-13)/9 =: 24444444444444444443_<20>; = 787 · 937 · 33148650149297_<14>

(22·10²⁰-13)/9 =: 244444444444444444443_<21>; = 3² · 1217 · 3191 · 3331 · 2099643911_<10>

(22·10²¹-13)/9 =: 2444444444444444444443_<22>; = 7 · 17 · 31 · 662630643655311587_<18>

(22·10²²-13)/9 =: 24444444444444444444443_<23>; = 4297 · 19338251 · 294169488169_<12>

(22·10²³-13)/9 =: 244444444444444444444443_<24>; = 3 · 23 · 109 · 31307 · 1038157221892369_<16>

(22·10²⁴-13)/9 =: 2444444444444444444444443_<25>; = 29 · 6827 · 2720183 · 4538936933987_<13>

(22·10²⁵-13)/9 =: 24444444444444444444444443_<26>; = 1764682461533_<13> · 13852035693271_<14>

(22·10²⁶-13)/9 =: 244444444444444444444444443_<27>; = 3 · 19 · 257 · 16686766635568601573107_<23>

(22·10²⁷-13)/9 =: 2444444444444444444444444443_<28>; = 7 · 14310303751_<11> · 24402441435385099_<17>

(22·10²⁸-13)/9 =: 24444444444444444444444444443_<29>; = 887 · 27558561944131278967806589_<26>

(22·10²⁹-13)/9 =: 244444444444444444444444444443_<30>; = 3³ · 45483443011241_<14> · 199050409181849_<15>

(22·10³⁰-13)/9 =: 2444444444444444444444444444443_<31>; = definitely prime number

(22·10³¹-13)/9 =: 24444444444444444444444444444443_<32>; = 103 · 237324703344120819848975188781_<30>

(22·10³²-13)/9 =: 244444444444444444444444444444443_<33>; = 3 · 1429 · 2621 · 21755029018588218664899209_<26>

(22·10³³-13)/9 =: 2444444444444444444444444444444443_<34>; = 7² · 71 · 702628469228066813579892050717_<30>

(22·10³⁴-13)/9 =: 24444444444444444444444444444444443_<35>; = 179 · 13789 · 51319460869_<11> · 192979991755152937_<18>

(22·10³⁵-13)/9 =: 244444444444444444444444444444444443_<36>; = 3 · 10459 · 59239 · 327893809 · 401077055759334509_<18>

(22·10³⁶-13)/9 =: 2444444444444444444444444444444444443_<37>; = 31 · 5431 · 38364077 · 52829787011_<11> · 7163661578629_<13>

(22·10³⁷-13)/9 =: 24444444444444444444444444444444444443_<38>; = 17 · 83 · 251099 · 68993499598993002365977460587_<29>

(22·10³⁸-13)/9 =: 244444444444444444444444444444444444443_<39>; = 3² · 47 · 6703 · 253265094443_<12> · 340404463546960714729_<21>

(22·10³⁹-13)/9 =: 2444444444444444444444444444444444444443_<40>; = 7 · 241 · 1789 · 13985131 · 1809891763_<10> · 31998941018571217_<17>

(22·10⁴⁰-13)/9 =: 24444444444444444444444444444444444444443_<41>; = 835067518697_<12> · 11063795270771_<14> · 2645784385995089_<16>

(22·10⁴¹-13)/9 =: 244444444444444444444444444444444444444443_<42>; = 3 · 10895253806471_<14> · 22080667259447_<14> · 338695457269513_<15>

(22·10⁴²-13)/9 =: 2444444444444444444444444444444444444444443_<43>; = 13310763337_<11> · 29885756469161_<14> · 6144873635265017099_<19>

(22·10⁴³-13)/9 =: 24444444444444444444444444444444444444444443_<44>; = 3292676518273_<13> · 32218106889271_<14> · 230425790919122621_<18>

(22·10⁴⁴-13)/9 =: 244444444444444444444444444444444444444444443_<45>; = 3 · 19 · 34129349 · 397987205389_<12> · 315724439429315529308659_<24>

(22·10⁴⁵-13)/9 =: 2444444444444444444444444444444444444444444443_<46>; = 7 · 23 · 691 · 40013 · 339107 · 79502592759067_<14> · 20368408053009869_<17>

(22·10⁴⁶-13)/9 =: 24444444444444444444444444444444444444444444443_<47>; = 1171 · 15416973119_<11> · 41770490269_<11> · 32415639096751671854803_<23>

(22·10⁴⁷-13)/9 =: 244444444444444444444444444444444444444444444443_<48>; = 3² · 4999 · 3632023 · 57535272083_<11> · 25999905168321430958658097_<26>

(22·10⁴⁸-13)/9 =: 2444444444444444444444444444444444444444444444443_<49>; = 61 · 7439459 · 236938661 · 371347997 · 61219808416729000376621_<23>

(22·10⁴⁹-13)/9 =: 24444444444444444444444444444444444444444444444443_<50>; = 3191 · 37831 · 122071302963489973_<18> · 1658792128084561024992271_<25>

(22·10⁵⁰-13)/9 =: 244444444444444444444444444444444444444444444444443_<51>; = 3 · 1019 · 79962199687420492130992621669756115290953367499_<47>

(22·10⁵¹-13)/9 =: 2444444444444444444444444444444444444444444444444443_<52>; = 7 · 31 · 1801 · 25791611 · 242509219991345393819086557105613127489_<39>

(22·10⁵²-13)/9 =: 24444444444444444444444444444444444444444444444444443_<53>; = 29 · 49481 · 152846873 · 111451815478872320165795895386948843959_<39>

(22·10⁵³-13)/9 =: 244444444444444444444444444444444444444444444444444443_<54>; = 3 · 17 · 659 · 4721 · 6029 · 1210637 · 11910299 · 17721835020995021213905360481_<29>

(22·10⁵⁴-13)/9 =: 2444444444444444444444444444444444444444444444444444443_<55>; = 773 · 1223 · 775698078168731_<15> · 3333354514796367833140800054808907_<34>

(22·10⁵⁵-13)/9 =: 24444444444444444444444444444444444444444444444444444443_<56>; = 22073 · 1107436435665493790805257302788222916886895503304691_<52>

(22·10⁵⁶-13)/9 =: 244444444444444444444444444444444444444444444444444444443_<57>; = 3³ · 607 · 8735511287_<10> · 3814208421738439_<16> · 447646266002657586704147359_<27>

(22·10⁵⁷-13)/9 =: 2444444444444444444444444444444444444444444444444444444443_<58>; = 7 · 307 · 74525329 · 93808651390399383253_<20> · 162703524747319664840189011_<27>

(22·10⁵⁸-13)/9 =: 24444444444444444444444444444444444444444444444444444444443_<59>; = 7603 · 1136712131_<10> · 2828425122659724634746426844358439926371669651_<46>

(22·10⁵⁹-13)/9 =: 244444444444444444444444444444444444444444444444444444444443_<60>; = 3 · 317 · 1733 · 4732163 · 81599087486849_<14> · 2135480851087741_<16> · 179870694955706863_<18>

(22·10⁶⁰-13)/9 =: 2444444444444444444444444444444444444444444444444444444444443_<61>; = 689389 · 3736862178163_<13> · 948874425092109503880769016245313980519549_<42>

(22·10⁶¹-13)/9 =: 24444444444444444444444444444444444444444444444444444444444443_<62>; = 82003 · 2479297177061_<13> · 120232490876928077265101023325616603667517221_<45>

(22·10⁶²-13)/9 =: 244444444444444444444444444444444444444444444444444444444444443_<63>; = 3 · 19 · 277 · 29850443631709_<14> · 1291715729543797127_<19> · 401520578697204180337228309_<27>

(22·10⁶³-13)/9 =: 2444444444444444444444444444444444444444444444444444444444444443_<64>; = 7 · 3571 · 50701040157606446243574931_<26> · 1928747659126854737755809560214949_<34>

(22·10⁶⁴-13)/9 =: 24444444444444444444444444444444444444444444444444444444444444443_<65>; = 42499 · 2979817 · 17057357 · 11316187313241300897847816315316486181393244453_<47>

(22·10⁶⁵-13)/9 =: 244444444444444444444444444444444444444444444444444444444444444443_<66>; = 3² · 103 · 50333 · 381853 · 402263 · 42488730540601108356751_<23> · 802726443988219802915557_<24>

(22·10⁶⁶-13)/9 =: 2444444444444444444444444444444444444444444444444444444444444444443_<67>; = 31 · 78853046594982078853046594982078853046594982078853046594982078853_<65>

(22·10⁶⁷-13)/9 =: 24444444444444444444444444444444444444444444444444444444444444444443_<68>; = 23 · 1062801932367149758454106280193236714975845410628019323671497584541_<67>

(22·10⁶⁸-13)/9 =: 244444444444444444444444444444444444444444444444444444444444444444443_<69>; = 3 · 71 · 769 · 1051 · 812047 · 63204067 · 258025604861648851_<18> · 107221657438247623654480924331_<30>

(22·10⁶⁹-13)/9 =: 2444444444444444444444444444444444444444444444444444444444444444444443_<70>; = 7 · 17 · 59 · 241 · 20939 · 68993506650220824856878877003901566659725499978084430569317_<59>

(22·10⁷⁰-13)/9 =: 24444444444444444444444444444444444444444444444444444444444444444444443_<71>; = 92791 · 516518027 · 55888784225959039601_<20> · 9125657616264549179252310325807124999_<37>

(22·10⁷¹-13)/9 =: 244444444444444444444444444444444444444444444444444444444444444444444443_<72>; = 3 · 31337 · 834593 · 1107143171_<10> · 10903989499325957_<17> · 258070017361922950819844081078312303_<36>

(22·10⁷²-13)/9 =: 2444444444444444444444444444444444444444444444444444444444444444444444443_<73>; = 619341096177707_<15> · 37699903409133851_<17> · 105914495798978593_<18> · 988449832904502550212643_<24>

(22·10⁷³-13)/9 =: 24444444444444444444444444444444444444444444444444444444444444444444444443_<74>; = 32933 · 6562294597387_<13> · 1217957494273987_<16> · 4897947104237002301_<19> · 18960375390714146898059_<23>

(22·10⁷⁴-13)/9 =: 244444444444444444444444444444444444444444444444444444444444444444444444443_<75>; = 3² · 230341 · 16935118153_<11> · 9461449458258878334197_<22> · 735902891321443210280304747861344467_<36>

(22·10⁷⁵-13)/9 =: 2444444444444444444444444444444444444444444444444444444444444444444444444443_<76>; = 7² · 467 · 3067 · 1596828746038939276195873571_<28> · 21811980092611086366186299963358485584153_<41>

(22·10⁷⁶-13)/9 =: 24444444444444444444444444444444444444444444444444444444444444444444444444443_<77>; = 677147 · 17249231 · 90196424371_<11> · 718559345843_<12> · 32290555086994588239337046601048151928983_<41>

(22·10⁷⁷-13)/9 =: 244444444444444444444444444444444444444444444444444444444444444444444444444443_<78>; = 3 · 15139 · 210133789 · 19141849852837_<14> · 1338079542139209607111473720860601346150464717614803_<52>

(22·10⁷⁸-13)/9 =: 2444444444444444444444444444444444444444444444444444444444444444444444444444443_<79>; = 83 · 227 · 229 · 3191 · 47317 · 5939193807713492959_<19> · 12768411204245967441299_<23> · 49480305873759970163281_<23>

(22·10⁷⁹-13)/9 =: 24444444444444444444444444444444444444444444444444444444444444444444444444444443_<80>; = 3963683 · 15623267941_<11> · 394738399896200299472331387779626510377726103833235900466990581_<63>

(22·10⁸⁰-13)/9 =: 244444444444444444444444444444444444444444444444444444444444444444444444444444443_<81>; = 3 · 19 · 29 · 2765123 · 6681071 · 42843438349_<11> · 118635782890111_<15> · 1574877427007878478935094626040297389513_<40>

(22·10⁸¹-13)/9 =: 2444444444444444444444444444444444444444444444444444444444444444444444444444444443_<82>; = 7 · 31 · 363305869 · 545109749 · 829698821957_<12> · 1660301666090637241597_<22> · 41291113762166649868925576371_<29>

(22·10⁸²-13)/9 =: 24444444444444444444444444444444444444444444444444444444444444444444444444444444443_<83>; = 3617 · 1513429733384445674971356559_<28> · 4465492873396867209042776363569830243819715879356181_<52>

(22·10⁸³-13)/9 =: 244444444444444444444444444444444444444444444444444444444444444444444444444444444443_<84>; = 3⁴ · 301463 · 273732346969_<12> · 36570846647188582481904909775849194367344730147689634194604334549_<65>

(22·10⁸⁴-13)/9 =: 2444444444444444444444444444444444444444444444444444444444444444444444444444444444443_<85>; = 47 · 9816091421_<10> · 5298387518428085930882236874990265709578839975353663286392240842105579289_<73>

(22·10⁸⁵-13)/9 =: 24444444444444444444444444444444444444444444444444444444444444444444444444444444444443_<86>; = 17² · 3807679620131_<13> · 22213752517874051798716383413872981275640612897508465576053540933552777_<71>

(22·10⁸⁶-13)/9 =: 244444444444444444444444444444444444444444444444444444444444444444444444444444444444443_<87>; = 3 · 35080841 · 2322677540184440888446245672430757332228194913613430233371015292406515610087041_<79>

(22·10⁸⁷-13)/9 =: 2444444444444444444444444444444444444444444444444444444444444444444444444444444444444443_<88>; = 7 · 286507013617858469_<18> · 1218840491186434890197775697660037405742555960441784273126399717776521_<70>

(22·10⁸⁸-13)/9 =: 24444444444444444444444444444444444444444444444444444444444444444444444444444444444444443_<89>; = 1609 · 32481473 · 76070815221431164193859159953_<29> · 6148516474487583928609534985998295430397745740883_<49>

(22·10⁸⁹-13)/9 =: 244444444444444444444444444444444444444444444444444444444444444444444444444444444444444443_<90>; = 3 · 23 · 409 · 1117 · 184740433289399974788909717581_<30> · 41975187197202829025895940051589999743430647437340079_<53> (Makoto Kamada / GGNFS-0.54.5b)

(22·10⁹⁰-13)/9 =: 2444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443_<91>; = 3181 · 46049 · 100511 · 2401752713901354512616219617245603721_<37> · 69128067276787184411604357025445365163537_<41> (Makoto Kamada / GGNFS-0.54.5b)

(22·10⁹¹-13)/9 =: 24444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443_<92>; = 743 · 50539 · 26191622551_<11> · 202057423664401_<15> · 1731288858897087920871209_<25> · 71048999106382891631635252951139801_<35>

(22·10⁹²-13)/9 =: 244444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443_<93>; = 3² · 4349237 · 1020472217_<10> · 10896357067_<11> · 573969041388633730015600673_<27> · 978483728697231729501586197885777234893_<39>

(22·10⁹³-13)/9 =: 2444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443_<94>; = 7 · 953 · 7720721 · 266898527069128613_<18> · 177821878922648587711766019003033386347363586618712360891836384321_<66>

(22·10⁹⁴-13)/9 =: 24444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443_<95>; = definitely prime number

(22·10⁹⁵-13)/9 =: 244444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443_<96>; = 3 · 703489 · 1725173497_<10> · 29528983541_<11> · 61076471948201_<14> · 37226001275211191691965638470651344152914085078309074277_<56>

(22·10⁹⁶-13)/9 =: 2444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443_<97>; = 31 · 113 · 1153 · 1635628764149_<13> · 8339219555869_<13> · 44371139209959183040137470199146711622707857456077995613802487317_<65>

(22·10⁹⁷-13)/9 =: 24444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443_<98>; = 950693 · 5194303 · 556407217 · 21063235999286756671381_<23> · 422371637303077409752866172396389571417769308871635021_<54>

(22·10⁹⁸-13)/9 =: 244444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443_<99>; = 3 · 19 · 1579 · 90204859907_<11> · 30108786306574553713718488235164851348550573387227577259797522728389457018282605683_<83>

(22·10⁹⁹-13)/9 =: 2444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443_<100>; = 7 · 103 · 241 · 11579 · 31249 · 7332882898297000391251_<22> · 30128399681715478431767_<23> · 175982657822133188129256753556773953913709_<42>

(22·10¹⁰⁰-13)/9 =: 24444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443_<101>; = 3077400900913681_<16> · 7943210921003787172133076056883821467562051327839958006502273971878490143921298551403_<85>

(22·10¹⁰¹-13)/9 =: 2(4)₁₀₀3_<102>; = 3² · 17 · 25526897598893_<14> · 254490699286866245853751_<24> · 5148470505257945762661686546923_<31> · 47768385189128479523171176164779_<32> (Makoto Kamada / GMP-ECM 6.2 B1=250000, sigma=4273790543 for P31 / Jun 24, 2008)

(22·10¹⁰²-13)/9 =: 2(4)₁₀₁3_<103>; = 5507 · 105499325408891_<15> · 3677317480872637416633383987889817421_<37> · 1144153480346474148268296040515989346467848938359_<49> (Makoto Kamada / GGNFS-0.77.1-20060722-pentium4 snfs / 0.80 hours on Pentium 4 3.06GHz, Windows XP and Cygwin / Jul 1, 2008)

(22·10¹⁰³-13)/9 =: 2(4)₁₀₂3_<104>; = 71 · 42473317411607167_<17> · 8105982082474802190135831079172022937467550091919850262124615580553353399574817926899_<85>

(22·10¹⁰⁴-13)/9 =: 2(4)₁₀₃3_<105>; = 3 · 313 · 4094681 · 30060081017_<11> · 234263077409_<12> · 664912235585849_<15> · 1831406879388972213183430247_<28> · 7413978954847349064764387105903_<31>

(22·10¹⁰⁵-13)/9 =: 2(4)₁₀₄3_<106>; = 7 · 1627 · 2137 · 43528354818187764218130518218343740822351939339_<47> · 2307372983320452239989285069343403988864687410578509_<52> (Makoto Kamada / GGNFS-0.77.1-20060722-pentium4 snfs / 1.06 hours on Pentium 4 3.06GHz, Windows XP and Cygwin / Jul 1, 2008)

(22·10¹⁰⁶-13)/9 =: 2(4)₁₀₅3_<107>; = 2063 · 12149 · 3250501928516693_<16> · 929730091445090214000183285766837_<33> · 322725361417908409978742270559385019271477322301929_<51> (Makoto Kamada / GGNFS-0.77.1-20060722-pentium4 snfs / 1.10 hours on Pentium 4 3.06GHz, Windows XP and Cygwin / Jul 1, 2008)

(22·10¹⁰⁷-13)/9 =: 2(4)₁₀₆3_<108>; = 3 · 97 · 3191 · 2834773967_<10> · 820818293637224843_<18> · 3104868259310561987_<19> · 36437765600774073890995565806916032583991279708062092049_<56>

(22·10¹⁰⁸-13)/9 =: 2(4)₁₀₇3_<109>; = 29 · 61 · 661 · 14230391815298753474953_<23> · 146904135234327920314893750197277608493112970272009092607672298385648752642892959_<81>

(22·10¹⁰⁹-13)/9 =: 2(4)₁₀₈3_<110>; = 3893839403_<10> · 1711581106267_<13> · 3667791604202578090130216518229407227316570883795420636227523769871322076289185616824643_<88>

(22·10¹¹⁰-13)/9 =: 2(4)₁₀₉3_<111>; = 3³ · 391367 · 2613786739411_<13> · 256384240319927_<15> · 328681622760718673179_<21> · 183141206307431342375792857_<27> · 573468060464490393871078763497_<30> (Makoto Kamada / GMP-ECM 6.2 B1=250000, sigma=736064870 for P30 / Jun 24, 2008)

(22·10¹¹¹-13)/9 =: 2(4)₁₁₀3_<112>; = 7 · 23² · 31 · 588432555658627_<15> · 7509781228999079_<16> · 4818820923801295367841608411546927153749378151394575617534189160730333549047_<76>

(22·10¹¹²-13)/9 =: 2(4)₁₁₁3_<113>; = 3259 · 13950581137_<11> · 13701829988800447487541383114549_<32> · 39239633019081925818391162394055049075239789099796401438595560894829_<68> (Sinkiti Sibata / Msieve v. 1.36 for P32 x P68 / 15.12 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Jul 2, 2008)

(22·10¹¹³-13)/9 =: 2(4)₁₁₂3_<114>; = 3 · 181 · 647 · 997 · 1571 · 14349059 · 682474095349_<12> · 13772796241494579829409_<23> · 3293616293724680757114960745493631381617630484582655636019011_<61>

(22·10¹¹⁴-13)/9 =: 2(4)₁₁₃3_<115>; = 33598656294760900291371699381269381784370549_<44> · 72754232282366932679878294542235391018639436852035736262753056974819407_<71> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs, Msieve 1.36 / 0.76 hours on Cygwin on AMD 64 X2 6000+ / Jul 1, 2008)

(22·10¹¹⁵-13)/9 =: 2(4)₁₁₄3_<116>; = 585177577 · 342873959976570811_<18> · 544734716103666443_<18> · 11033788119908596682129906513_<29> · 20269745592522383388097067658376778601371291_<44>

(22·10¹¹⁶-13)/9 =: 2(4)₁₁₅3_<117>; = 3 · 19 · 105879019 · 137400189118849_<15> · 52216810517743850150033554179233611101121_<41> · 5645439212850785908811753527171750497376343817221849_<52> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / 0.87 hours on Cygwin on AMD 64 X2 6000+ / Jul 1, 2008)

(22·10¹¹⁷-13)/9 =: 2(4)₁₁₆3_<118>; = 7² · 17 · 233 · 1621 · 4229313234714843164288246278132448514515779114889059_<52> · 1837072866508690204598997309979916246707045110648608172733_<58> (Sinkiti Sibata / GGNFS-0.77.1-20060513-pentium4 snfs / 2.31 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Jul 1, 2008)

(22·10¹¹⁸-13)/9 =: 2(4)₁₁₇3_<119>; = 454609 · 742757 · 1151569 · 101677781144789_<15> · 366226432101761271188777_<24> · 2881992362117729626745243489_<28> · 585783118379630761130991783411304907_<36>

(22·10¹¹⁹-13)/9 =: 2(4)₁₁₈3_<120>; = 3² · 83 · 349 · 817122361315838875049_<21> · 1147485079141291246620220006802316162187368021262805936660219828306153626970400012032759975869_<94>

(22·10¹²⁰-13)/9 =: 2(4)₁₁₉3_<121>; = 2202929 · 8515767510763_<13> · 138145497875227_<15> · 5245767362830153_<16> · 5847570558722686826143_<22> · 30749258071681365268428726208288711427666404080773_<50>

(22·10¹²¹-13)/9 =: 2(4)₁₂₀3_<122>; = 10139 · 21610123627320666846739365871_<29> · 106291118910715568757506518867309_<33> · 1049616908171780243294136059455718184430708493672261067883_<58> (Robert Backstrom / GMP-ECM 6.2.1 B1=552000, sigma=3035088369 for P33 / Jul 1, 2008)

(22·10¹²²-13)/9 =: 2(4)₁₂₁3_<123>; = 3 · 2269 · 15374321639_<11> · 2335761298458543125292126267384183634421112903403896705161185924815723069381246994114340694941776283215686491_<109>

(22·10¹²³-13)/9 =: 2(4)₁₂₂3_<124>; = 7 · 2953 · 3083793639720665579_<19> · 702596120174899902031478599_<27> · 54579258202660512437285931284135524421075459003960235935229718169504784473_<74>

(22·10¹²⁴-13)/9 =: 2(4)₁₂₃3_<125>; = 193 · 862154803 · 85526030717697565313_<20> · 1717668271939730551936931782219986720422492206720408802151620974905044238124109867562328394809_<94>

(22·10¹²⁵-13)/9 =: 2(4)₁₂₄3_<126>; = 3 · 23593 · 3453629529160406963145063429045966239201520852858113910120861335204572605496608378819204063980056859300702813609184142817_<121>

(22·10¹²⁶-13)/9 =: 2(4)₁₂₅3_<127>; = 31 · 373 · 8081 · 20220451 · 3349831425739_<13> · 386216433045855352607897487606909732998143897617846788493950913542825341344441708531739297805504129_<99>

(22·10¹²⁷-13)/9 =: 2(4)₁₂₆3_<128>; = 59 · 65089 · 81967 · 19291978253_<11> · 6447830437403_<13> · 210928090007281_<15> · 10427623217876159856582563_<26> · 283838562153109121148638184718669594709821251001583627_<54>

(22·10¹²⁸-13)/9 =: 2(4)₁₂₇3_<129>; = 3² · 503 · 53997005620597403234911518543062611982426429079841936038092433055985077191173943990378715362148099059961220332327025501313109_<125>

(22·10¹²⁹-13)/9 =: 2(4)₁₂₈3_<130>; = 7 · 241 · 39293 · 13299361 · 2695989282557_<13> · 250682305473299306497685825723691855583_<39> · 4102771067678316053775037080369167598169783113856398411976486603_<64> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 4.48 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Jul 1, 2008)

(22·10¹³⁰-13)/9 =: 2(4)₁₂₉3_<131>; = 47 · 153059 · 40407265662216106123_<20> · 84093800241566686648808776806474240629469676242063226602509204481249245540901679013193189972758392512917_<104>

(22·10¹³¹-13)/9 =: 2(4)₁₃₀3_<132>; = 3 · 109 · 277 · 379 · 8753 · 8134329189134066437_<19> · 125004096819440473768459_<24> · 253099858214276777246423323_<27> · 3160957224657582683005102835659367216889869995022999_<52>

(22·10¹³²-13)/9 =: 2(4)₁₃₁3_<133>; = 42227 · 42883627663814341521903001082675283462854504182949003_<53> · 1349890144337203998734326849512015502391489910957629428484329332974286483403_<76> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 7.09 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Jul 2, 2008)

(22·10¹³³-13)/9 =: 2(4)₁₃₂3_<134>; = 17 · 23 · 103 · 839 · 2122333 · 340871507687953067077248209536541371220342435751142855318098116596947056430201733245594039854033387473417900818794200993_<120>

(22·10¹³⁴-13)/9 =: 2(4)₁₃₃3_<135>; = 3 · 19 · 223 · 15921014146853_<14> · 1207896504329753954339974831757083563605528222343266237088598871516705516433562888590717113682739214867540053976766121_<118>

(22·10¹³⁵-13)/9 =: 2(4)₁₃₄3_<136>; = 7 · 6783481 · 51478930833055949644320718110119156573034751509785198241022028248674862706802945155496006600328997635041537869599155537746653429_<128>

(22·10¹³⁶-13)/9 =: 2(4)₁₃₅3_<137>; = 29 · 3191 · 111779 · 3397607 · 12006044130623429_<17> · 57932473438011451571926922937395517037851389290701852767702538222491161223366226514301784606388005271801_<104>

(22·10¹³⁷-13)/9 =: 2(4)₁₃₆3_<138>; = 3³ · 58473762489790941516005057792881835042331950647437243978542293_<62> · 154830090572117720754725648814565048360015424986244247352985425052957023613_<75> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 12.92 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Jul 2, 2008)

(22·10¹³⁸-13)/9 =: 2(4)₁₃₇3_<139>; = 71 · 317 · 677 · 121921 · 1248109229334927378206873_<25> · 1054247988351480648043611354071912336116962558286413058539334211888851493030815376138339963091822411589_<103>

(22·10¹³⁹-13)/9 =: 2(4)₁₃₈3_<140>; = 149 · 168851 · 153134131586673253525316680340706127_<36> · 6344804807107506932431402272201079387020389960080550065808574943830533716609237345358028267464891_<97> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 10.28 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Jul 2, 2008)

(22·10¹⁴⁰-13)/9 =: 2(4)₁₃₉3_<141>; = 3 · 79392461 · 30903737715270715377221878457373280830821_<41> · 33209982218207158692180677111290215531825231303595299136370285580176392535478664638944361001_<92> (Sinkiti Sibata / GGNFS-0.77.1-20050930-nocona snfs / 10.16 hours on Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin / Jul 2, 2008)

(22·10¹⁴¹-13)/9 =: 2(4)₁₄₀3_<142>; = 7 · 31 · 16494617 · 1739819989_<10> · 392530932060724119166426731535752347626304049744601172993461390820765999203978771304716686629070415556795714811535685657183_<123>

(22·10¹⁴²-13)/9 =: 2(4)₁₄₁3_<143>; = 90956167063_<11> · 219957553453783957601_<21> · 110570838818184374151743891_<27> · 11050159225527760638928298084292481605482887549806892644866415518981517540462365471471_<86>

(22·10¹⁴³-13)/9 =: 2(4)₁₄₂3_<144>; = 3 · 131 · 13553 · 45893605979736596151766900701110360333438742601976791978949187037534565447317363318045964574183165261560907042063012713717917996512127667_<137>

(22·10¹⁴⁴-13)/9 =: 2(4)₁₄₃3_<145>; = 13122443282231317357_<20> · 186279673066248938412286113328301344940157867777274634770065513419095651852213599449703320883462471788762348293728435848767399_<126>

(22·10¹⁴⁵-13)/9 =: 2(4)₁₄₄3_<146>; = 4139 · 414629 · 746957 · 19069068076084092219728633157735502875471154910189447526696416130997529056417883172859871529064340187882765836289499647352045015729_<131>

(22·10¹⁴⁶-13)/9 =: 2(4)₁₄₅3_<147>; = 3² · 7263511093_<10> · 37852123962886092057100633_<26> · 98787229124390275794088523580980688449551772145941554566178051273760310359123444543261724984914772843009422383_<110>

(22·10¹⁴⁷-13)/9 =: 2(4)₁₄₆3_<148>; = 7 · 2021712041728844821895966127264309751829_<40> · 172728035446496740787707614044367729343826209385361445373501288263149880818963169788976312580236715350305881_<108> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / 10.68 hours on Cygwin on AMD 64 X2 6000+ / Jul 2, 2008)

(22·10¹⁴⁸-13)/9 =: 2(4)₁₄₇3_<149>; = 9161 · 396293 · 68554885334495244169_<20> · 98216053254058125855862156838569809304309649121420676427920869867388197639667591170618953873769053808818389299428942639_<119>

(22·10¹⁴⁹-13)/9 =: 2(4)₁₄₈3_<150>; = 3 · 17 · 69002924247755090799484487397373660603707328555480983703141_<59> · 69461234791017154769799796429709791557515126520850419394325840918738250512555886792605573_<89> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / 11.78 hours on Cygwin on AMD 64 X2 6000+ / Jul 2, 2008)

(22·10¹⁵⁰-13)/9 =: 2(4)₁₄₉3_<151>; = 202787964131_<12> · 1906850044447_<13> · 10581501119999_<14> · 597412317496550560509746670398830353512875889083545699989869120303750936758770766183988597180894820762446531845001_<114>

(22·10¹⁵¹-13)/9 =: 2(4)₁₅₀3_<152>; = 9749025187513751_<16> · 315125588022925301177_<21> · 7956742617922435359782674710879785183394609536158906026556617173789646813865685826779890372815311422052118615026309_<115>

(22·10¹⁵²-13)/9 =: 2(4)₁₅₁3_<153>; = 3 · 19 · 9585811 · 238932583065203_<15> · 1872410533233058164509959608767394154627308420507714174081186903289148146530956801699790613377642183037540474436810135377299026203_<130>

(22·10¹⁵³-13)/9 =: 2(4)₁₅₂3_<154>; = 7 · 8254963 · 5606917895647134149_<19> · 7544714386808222238751966718462201026076018581859867691833228147394959219050732319151501860844831187539112800554679303819272627_<127>

(22·10¹⁵⁴-13)/9 =: 2(4)₁₅₃3_<155>; = 3463 · 15581 · 2146985142350986093864164662530779984526223381689_<49> · 211010133979284123150461874857456724663907315722703385915179202631648184177974032185559336543961529_<99> (Sinkiti Sibata / GGNFS-0.77.1-20050930-nocona snfs / 33.25 hours on Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin / Jul 2, 2008)

(22·10¹⁵⁵-13)/9 =: 2(4)₁₅₄3_<156>; = 3² · 23 · 143981 · 218747941 · 249745250462299_<15> · 292725366458429872841_<21> · 482708719167218258004205150027333793774609359_<45> · 1062473059782581072690917238909162188127886673467946816631449_<61> (Sinkiti Sibata / Msieve v. 1.36 for P45 x P61 / 73.2 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Jul 5, 2008)

(22·10¹⁵⁶-13)/9 =: 2(4)₁₅₅3_<157>; = 31 · 69610967 · 58736020814238558891405825208486913134774314421667326208192258974379_<68> · 19285739207270759069175268490680623206978396054095595843811679209703382453696521_<80> (Sinkiti Sibata / GGNFS-0.77.1-20050930-nocona snfs / 32.99 hours on Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin / Jul 3, 2008)

(22·10¹⁵⁷-13)/9 =: 2(4)₁₅₆3_<158>; = 1901 · 45646637540051_<14> · 941115575237730669914918455345091326630972261040701955276054024800787_<69> · 299327281814835613590373614390897333859536305210099996132872751678060239_<72> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 59.57 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Jul 3, 2008)

(22·10¹⁵⁸-13)/9 =: 2(4)₁₅₇3_<159>; = 3 · 894689 · 91072407821579880250546817365007820015090697976035786157515607637381795776500528654629129766300336185514163560166137598072046802275965705939696901919529_<152>

(22·10¹⁵⁹-13)/9 =: 2(4)₁₅₈3_<160>; = 7³ · 241 · 174319009 · 35979740872329018517519746209133239737925977264625179_<53> · 4714832073781596621362448799071690079103424956069158006846652811186139395908205559836553336951_<94> (Sinkiti Sibata / GGNFS-0.77.1-20050930-nocona snfs / 44.04 hours on Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin / Jul 3, 2008)

(22·10¹⁶⁰-13)/9 =: 2(4)₁₅₉3_<161>; = 83 · 343823 · 855737224949_<12> · 735790587500551731348419488073351_<33> · 587239052741479910497804853780708830854156297691_<48> · 2316634778346193718074128370167758320496447356746829997837303_<61> (Serge Batalov / GMP-ECM 6.2.1 B1=1000000, sigma=2528959712 for P33, pol51+Msieve 1.36 gnfs for P48 x P61 / 7.00 hours on Opteron-2.8GHz; Linux x86_64 / Jul 4, 2008)

(22·10¹⁶¹-13)/9 =: 2(4)₁₆₀3_<162>; = 3 · 1777 · 33815254328427941_<17> · 4435250828334077701_<19> · 918751243450106267060747603778791899353350478837103_<51> · 332768880114005275926756609421497514018998126560607437380875803735204911_<72> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 73.49 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Jul 5, 2008)

(22·10¹⁶²-13)/9 =: 2(4)₁₆₁3_<163>; = 1034549 · 268791412423_<12> · 8790502802737161412421528931300994759592456463440089428304504312505651730368375512359717044050578674034902271998897222415273857037999848353977209_<145>

(22·10¹⁶³-13)/9 =: 2(4)₁₆₂3_<164>; = 2713 · 56432111231_<11> · 141768691238978391619_<21> · 27792384200043657245658680170611919922816011461860744469047783927_<65> · 40522659874175581080586722921710792443780673884463536926755858537_<65> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs, Msieve 1.36 / 53.83 hours on Cygwin on AMD 64 3400+ / Jul 10, 2008)

(22·10¹⁶⁴-13)/9 =: 2(4)₁₆₃3_<165>; = 3⁴ · 29 · 3416647763_<10> · 21835992391633997_<17> · 188977149108201979911706385119937160520580933260307287_<54> · 7380991743316560115806233653476384595263723304504052365842469875363867165673435351_<82> (Sinkiti Sibata / GGNFS-0.77.1-20050930-nocona snfs / 83.57 hours on Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin / Jul 5, 2008)

(22·10¹⁶⁵-13)/9 =: 2(4)₁₆₄3_<166>; = 7 · 17 · 3191 · 5754480652293022944296874651263801107670250103676807_<52> · 1118665569732113050387533457391188058592674819391297562139857816414188357774603895007548142093328554147528381_<109> (Robert Backstrom / GGNFS-0.77.1-20060513-athlon-xp snfs, Msieve 1.36 / 40.31 hours on Cygwin on AMD 64 3200+ / Jul 28, 2008)

(22·10¹⁶⁶-13)/9 =: 2(4)₁₆₅3_<167>; = 204748963 · 1560730573355017_<16> · 52343527673168281003_<20> · 92451731827226267738142652673971531_<35> · 15807110284823092936676892186474766682999520995799709781771826467335821057469454232049481_<89> (Jo Yeong Uk / GMP-ECM 6.2 B1=1000000, sigma=3840854288 for P35 / Jul 2, 2008)

(22·10¹⁶⁷-13)/9 =: 2(4)₁₆₆3_<168>; = 3 · 103 · 180519949 · 99146963869_<11> · 20757436223520443_<17> · 167490769827406767572595332518138087825351_<42> · 12713129747157146466674781904758060906332193817674471949615764473430324022539144529420019_<89> (Jo Yeong Uk / GMP-ECM 6.2.3 B1=3000000, sigma=1892633111 for P42 / Jun 24, 2009)

(22·10¹⁶⁸-13)/9 =: 2(4)₁₆₇3_<169>; = 61 · 1181 · 2753 · 272806960740898694897744916795109789_<36> · 45179225343192939814830264722714360700948905264435948248866595060194010598980819143752130662346477005769664390040536535097919_<125> (Robert Backstrom / GMP-ECM 6.2.1 B1=2508000, sigma=4104464395 for P36 / Jul 4, 2008)

(22·10¹⁶⁹-13)/9 =: 2(4)₁₆₈3_<170>; = 6603123233761858889_<19> · 34538325050649741960582584869569799_<35> · 107183885461665753591363007370745581050786551598708387085447555024370036792587759492946489199946634658942041297437413_<117> (Sinkiti Sibata / GGNFS-0.77.1-20050930-nocona snfs / 141.04 hours on Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin / Jul 7, 2008)

(22·10¹⁷⁰-13)/9 =: 2(4)₁₆₉3_<171>; = 3 · 19 · 2373799346615306119621_<22> · 11598966524624398669222373_<26> · 155755006299731439869906938229635748533217874503897288297314634061472794810119700516781159170249066407676400477101758840203_<123>

(22·10¹⁷¹-13)/9 =: 2(4)₁₇₀3_<172>; = 7 · 31 · 827 · 5246447 · 479536609 · 4338158526930879037_<19> · 242847323361115062389_<21> · 17489659331233420841041848831787915121_<38> · 293837879123436495340659649946267814150481624381132301381989520081108118583_<75> (Serge Batalov / pol51; Msieve 1.36 gnfs for P38 x P75 / 13hrs on Opteron-2.8GHz; Linux x86_64 / Jul 3, 2008)

(22·10¹⁷²-13)/9 =: 2(4)₁₇₁3_<173>; = 832582043 · 21430900157_<11> · 10657958831905102704921058981771_<32> · 128540113827202101407963240722095256356240982179406016084691632863292226740107335226351658112576118368825069138632503298783_<123> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=2112599342 for P32 / Jul 11, 2008)

(22·10¹⁷³-13)/9 =: 2(4)₁₇₂3_<174>; = 3² · 71 · 2789 · 99523 · 24117895541_<11> · 31498825328711527_<17> · 1814151583329072721648933509631714903763561162844141220429119376531396531320950555033810783930895143451519432584027876759031793115418953_<136>

(22·10¹⁷⁴-13)/9 =: 2(4)₁₇₃3_<175>; = 811 · 3379049371_<10> · 11072656343693520216315180207406030758141993043_<47> · 287966682004537921225496398852946852204100412458502336373_<57> · 279750400108181033972244071591541983136545321330179478911277_<60> (Sinkiti Sibata / GGNFS-0.77.1-20050930-nocona snfs / 252.40 hours on Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin / Jul 10, 2008)

(22·10¹⁷⁵-13)/9 =: 2(4)₁₇₄3_<176>; = 499 · 665179 · 108255761415671706622622739225515636293_<39> · [680283718429769696056120418073040544541397423248695726710441763806401518016805452458069590962210373264962514288556879937951373631_<129>] (Sinkiti Sibata / GMP-ECM B1=1000000, sigma=266198168 for P39 / Aug 16, 2008) SUBMIT/RESERVE

(22·10¹⁷⁶-13)/9 =: 2(4)₁₇₅3_<177>; = 3 · 47 · 11795329101796117_<17> · 9398668257774823337_<19> · 3402062619689460830934510402880048421_<37> · 4596659900995630289638965548262792933809828494069495661471865826071626866018519050235823880497506667447_<103> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=139027873 for P37 / Aug 8, 2008)

(22·10¹⁷⁷-13)/9 =: 2(4)₁₇₆3_<178>; = 7 · 23 · 977 · 3797 · 1001447 · 4086873211059697080787794954824102914990118353478048822605616710319537272720009185146884948554572252063372513134553065884775020149044828695979475404213252478895241_<163>

(22·10¹⁷⁸-13)/9 =: 2(4)₁₇₇3_<179>; = definitely prime number

(22·10¹⁷⁹-13)/9 =: 2(4)₁₇₈3_<180>; = 3 · 167 · 630373842617_<12> · 2216727877196124340330489_<25> · 24726223009098487467636225633358624031335131751_<47> · 14121281057022318743169320232071258885317897178039011226565812763366085713013565900617484617961_<95> (Sinkiti Sibata / GMP-ECM B1=3000000, sigma=1048915276 for P47 / Aug 18, 2008)

(22·10¹⁸⁰-13)/9 =: 2(4)₁₇₉3_<181>; = 2325793 · 3866219070204084194846415227903_<31> · [271845816320278539429587638092826329232628873664863177212704960168484207288634062927657512662134502346248436623833026250584153848654155304622917_<144>] (Makoto Kamada / GMP-ECM 6.2 B1=250000, sigma=2875141387 for P31 / Jun 29, 2008) SUBMIT/RESERVE

(22·10¹⁸¹-13)/9 =: 2(4)₁₈₀3_<182>; = 17 · 129347 · [11116674501395673218480905418777508400542473503532651770019652764608308269022108084293296074282831746453313428422335197953359587886685311351019052918958280687036759962346812857_<176>] SUBMIT/RESERVE

(22·10¹⁸²-13)/9 =: 2(4)₁₈₁3_<183>; = 3² · 86843 · 312753979332364080319202397742598641538874679906964220802603477852682355827878975014226752037130152426338263615495708660001310723495201998554792293685084890670449283885791913689_<177>

(22·10¹⁸³-13)/9 =: 2(4)₁₈₂3_<184>; = 7 · 74821 · 233948542471655416966539695957_<30> · 3777824523836434735369063990067_<31> · 728025222965584731793931788563408594665953022055106061_<54> · 7253541024316580869418663127314988483163280924756047872134021891_<64> (Makoto Kamada / GMP-ECM 6.1.3 B1=50000, sigma=4266165384 for P31 / Jan 24, 2008) (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=369411570 for P30, pol51+Msieve 1.36 gnfs for P54 x P64 / 27.00 hours on Opteron-2.8GHz; Linux x86_64 / Jul 17, 2008)

(22·10¹⁸⁴-13)/9 =: 2(4)₁₈₃3_<185>; = 40709 · 9804930893_<10> · 61241412669995383278383358533068795078187683228416407202396062509623414197300950737234535725645909304484742632887725587134074590672199864089130809488808723035602394973339_<170>

(22·10¹⁸⁵-13)/9 =: 2(4)₁₈₄3_<186>; = 3 · 59 · 150019711 · 4316889760159_<13> · 2132493039260289577131864795004077862073570815170296413037019854413144949221470372325008672329869882607371927186182261408065950551293981722105213329190455354336491_<163>

(22·10¹⁸⁶-13)/9 =: 2(4)₁₈₅3_<187>; = 31 · 16879 · 1543033 · 5960683 · 189223412921_<12> · 13731509942096227_<17> · 46081468145707033413173827_<26> · 43959204954398191758967014257475577232360237024190677731_<56> · 96500868268959376515840611142404886048601428365351772525347_<59> (Sinkiti Sibata / GGNFS-0.77.1-20050930-nocona gnfs for P56 x P59 / 40.02 hours on Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin / Jul 4, 2008)

(22·10¹⁸⁷-13)/9 =: 2(4)₁₈₆3_<188>; = 2617 · 14827 · 1155107 · 545382182415219087917660756933743336527086011700690139596503377737454855450624925998398327868310023268696391023249547056337601590075682935677509884555318422204633257348696211_<174>

(22·10¹⁸⁸-13)/9 =: 2(4)₁₈₇3_<189>; = 3 · 19 · 383 · 73209167 · [152947039986612455857333879229521645470137879859190539913941283016599229623787607983321843393610122578134712788709771294133101607953618360129952776804057148476955388460792693859_<177>] SUBMIT/RESERVE

(22·10¹⁸⁹-13)/9 =: 2(4)₁₈₈3_<190>; = 7 · 241 · 2551 · 102079131905603_<15> · [5564391289365191698844671719743247072247051197083722717452383335606653968062840166382405390582639989199846444714881339113233847480838089248078192472041832521566133253913_<169>] SUBMIT/RESERVE

(22·10¹⁹⁰-13)/9 =: 2(4)₁₈₉3_<191>; = 37579 · 197712115002913632677_<21> · 4324556297448073545291529_<25> · 5173627017798433092541301317_<28> · 23032466315154297903558471524435237785670147_<44> · 6384465648362112581210497692982220217680658290277639789815364462792251_<70> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=4044017834 for P44 / Jul 2, 2008)

(22·10¹⁹¹-13)/9 =: 2(4)₁₉₀3_<192>; = 3³ · 227 · 13339 · 4295386587147023_<16> · 5452076356639359490485782281_<28> · 127674184130287586690664835690918420791305049656572251361476764000449019109931572451016003171597627122266850166009934104494608193429188913831_<141>

(22·10¹⁹²-13)/9 =: 2(4)₁₉₁3_<193>; = 29 · 1540577231259977719_<19> · 19654263499717023248094883_<26> · 2783824958941864081455095757586808874211352499582910918429314899376156981871704078328314221175700368520474059335635948854898282898351089118718300971_<148>

(22·10¹⁹³-13)/9 =: 2(4)₁₉₂3_<194>; = 5657 · 56324686381350084101805638381550307243_<38> · [76717635739151528363645309382391042558552748328658787346390836596385290572482473167190784819468980117146226312447151202964037959418539144514394956959993_<152>] (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=1056910569 for P38 / Jul 11, 2008) SUBMIT/RESERVE

(22·10¹⁹⁴-13)/9 =: 2(4)₁₉₃3_<195>; = 3 · 3191 · 168297409200439_<15> · [151724139139781743610278482814242685767273253451147061676836357291610492153171332059607150030954622998007571654235591552558012952249715126073188797963970617223141326769719762169_<177>] SUBMIT/RESERVE

(22·10¹⁹⁵-13)/9 =: 2(4)₁₉₄3_<196>; = 7 · 26837687 · 95955997 · 466934099 · 34189412940043_<14> · 387163017726257_<15> · 4432786487726332261901992580177_<31> · 28293299911166088280426132237163_<32> · 2282361128060960866345069318662723827857_<40> · 76644156088849870258058669364338740667237_<41> (Makoto Kamada / GMP-ECM 6.2 B1=250000, sigma=859303026 for P32 / Jun 30, 2008) (Serge Batalov / pol51; Msieve 1.36 for P31 x P40 x P41 / 15hr 04mn on Opteron-2.8GHz; Linux x86_64 / Jul 2, 2008)

(22·10¹⁹⁶-13)/9 =: 2(4)₁₉₅3_<197>; = definitely prime number

(22·10¹⁹⁷-13)/9 =: 2(4)₁₉₆3_<198>; = 3 · 17 · 1297 · 565770979439_<12> · [6531746964846143169368933272965376406761419312287303417854315559831182566805363956876428403612516997637060402074070093334235619705473752280401215315867754954604114388137593568063271_<181>] SUBMIT/RESERVE

(22·10¹⁹⁸-13)/9 =: 2(4)₁₉₇3_<199>; = 761 · 1116164463888701212766808462545049455171_<40> · [2877844495788575168113607192129997691026661911215134817394216371163195475768528619368913071644015537645015736907890065295017724885610399161647249281604057553_<157>] (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=2917915214 for P40 / Nov 24, 2008) SUBMIT/RESERVE

(22·10¹⁹⁹-13)/9 =: 2(4)₁₉₈3_<200>; = 23 · 1005481 · 1977637 · 9321581 · 57337969653848074717392994803437123317859097193496716843495662889347144039061896026643914765529861246388714148556222112080161059580507043262954199325221310545695161728527659253013_<179>

(22·10²⁰⁰-13)/9 =: 2(4)₁₉₉3_<201>; = 3² · 277 · 859751 · 7959983 · 841623014059_<12> · 17023758915406449918487569025157211340372830315259730899686926160560207176407894742808606827743067376008396874884110107148451625870959515898167291230398500641838681065405533_<173>

(22·10²⁰¹-13)/9 =: 2(4)₂₀₀3_<202>; = 7² · 31 · 83 · 103 · 439 · 3271 · 11467 · 1791892895081_<13> · [6379698519507424097271193214893027870251349020011680986779356292260274783045831650559681583781259514728519897799322634720826776191537044492810734762990740556932830601278331_<172>] SUBMIT/RESERVE

(22·10²⁰²-13)/9 =: 2(4)₂₀₁3_<203>; = 1129 · 173822237 · 124560658269359296295529555049003640629085920623569628466469795713875812215704238350292843284717793591551903453105304943805431226209117980308470777059816484216881514633796393545716219517960191_<192>

(22·10²⁰³-13)/9 =: 2(4)₂₀₂3_<204>; = 3 · 97 · 2843 · 18523 · 1122283 · 42834588555829841_<17> · [331819581998259431568224954311023155698272772826663100764539615274466371224589572115419391858965005704911152008191992106503346127225085431765272631993047487194144439602819_<171>] SUBMIT/RESERVE

(22·10²⁰⁴-13)/9 =: 2(4)₂₀₃3_<205>; = 530579317 · 4607123508443214427908889717320896706654783613520397449726530603612738346610756492123955982333258656677799682199908377590309356978655925339141036371088781895439856439870317154568700318268238195279_<196>

(22·10²⁰⁵-13)/9 =: 2(4)₂₀₄3_<206>; = 31273168841_<11> · 2083619718052162487971_<22> · [375136932746806673010188532266271930715404362239583393243165334861455510905017222285841437866060631702908313430384369098396421771629719467614707267525774532447157252186108513_<174>] SUBMIT/RESERVE

4. References

A102953 (On-Line Encyclopedia of Integer Sequences)