Factorizations of 377...779

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Factorizations of 377...779	2008-12-17(Wed) 23:54

Last update

Dec 17, 2008 23:54 JST

Sequence

39, 379, 3779, 37779, 377779, ...

General term

(34·10ⁿ+11)/9

Room for prime numbers

upper limit of periods: 10000
upper limit of periodical factors: 4294967296
checked terms: 100000000
terms divided by periodical factors: 76046450
room for prime numbers: 23.95%

Prime numbers

(34·10²+11)/9 = 379 is prime. (Makoto Kamada / Dec 1, 2004)
(34·10³+11)/9 = 3779 is prime. (Makoto Kamada / Dec 1, 2004)
(34·10⁵+11)/9 = 377779 is prime. (Makoto Kamada / Dec 1, 2004)
(34·10⁶+11)/9 = 3777779 is prime. (Makoto Kamada / Dec 1, 2004)
(34·10²⁰+11)/9 = 3(7)₁₉9_<21> is prime. (Makoto Kamada / PPSIQS / Dec 1, 2004)
(34·10⁷⁷⁶+11)/9 = 3(7)₇₇₅9_<777> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / May 29, 2006)
(34·10¹¹⁸⁵+11)/9 = 3(7)₁₁₈₄9_<1186> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Sep 11, 2006)
(34·10³¹⁶⁴+11)/9 = 3(7)₃₁₆₃9_<3165> is PRP. (Makoto Kamada / PFGW / Dec 18, 2004)
(34·10⁴²¹²+11)/9 = 3(7)₄₂₁₁9_<4213> is PRP. (Makoto Kamada / PFGW / Dec 18, 2004)

Searched:

1-10000

References:

A102977 (On-Line Encyclopedia of Integer Sequences)

Condition

n≤205

Status

Completed up to n=100. (Dec 1, 2004)
Completed up to n=150. (Dec 4, 2008)
The following numbers are not factored yet. (n≤205)
n= 162, 166, 168, 169, 172, 174, 176, 178, 179, 182, 183, 185, 187, 188, 189, 191, 193, 197, 199, 200, 201, 203, 204, 205 (24/205)

Factorization results

(34·10¹+11)/9 =: 39; = 3 · 13

(34·10²+11)/9 =: 379; = definitely prime number

(34·10³+11)/9 =: 3779; = definitely prime number

(34·10⁴+11)/9 =: 37779; = 3 · 7² · 257

(34·10⁵+11)/9 =: 377779; = definitely prime number

(34·10⁶+11)/9 =: 3777779; = definitely prime number

(34·10⁷+11)/9 =: 37777779; = 3³ · 13 · 43 · 2503

(34·10⁸+11)/9 =: 377777779; = 19 · 19883041

(34·10⁹+11)/9 =: 3777777779_<10>; = 389 · 9711511

(34·10¹⁰+11)/9 =: 37777777779_<11>; = 3 · 7 · 691 · 2603389

(34·10¹¹+11)/9 =: 377777777779_<12>; = 23 · 16425120773_<11>

(34·10¹²+11)/9 =: 3777777777779_<13>; = 83 · 45515394913_<11>

(34·10¹³+11)/9 =: 37777777777779_<14>; = 3 · 13 · 968660968661_<12>

(34·10¹⁴+11)/9 =: 377777777777779_<15>; = 3295883 · 114621113

(34·10¹⁵+11)/9 =: 3777777777777779_<16>; = 13597 · 128111 · 2168737

(34·10¹⁶+11)/9 =: 37777777777777779_<17>; = 3² · 7 · 599647266313933_<15>

(34·10¹⁷+11)/9 =: 377777777777777779_<18>; = 170539 · 2215198739161_<13>

(34·10¹⁸+11)/9 =: 3777777777777777779_<19>; = 1019 · 1613 · 2298411871757_<13>

(34·10¹⁹+11)/9 =: 37777777777777777779_<20>; = 3 · 13³ · 29 · 11383 · 17363223767_<11>

(34·10²⁰+11)/9 =: 377777777777777777779_<21>; = definitely prime number

(34·10²¹+11)/9 =: 3777777777777777777779_<22>; = 131 · 5519 · 5225221653134111_<16>

(34·10²²+11)/9 =: 37777777777777777777779_<23>; = 3 · 7 · 166289 · 10818164754985591_<17>

(34·10²³+11)/9 =: 377777777777777777777779_<24>; = 10531 · 35872925437069393009_<20>

(34·10²⁴+11)/9 =: 3777777777777777777777779_<25>; = 47 · 14629 · 42197 · 130209398864789_<15>

(34·10²⁵+11)/9 =: 37777777777777777777777779_<26>; = 3² · 13 · 97 · 3328731851068620828071_<22>

(34·10²⁶+11)/9 =: 377777777777777777777777779_<27>; = 19 · 337 · 1571 · 3666253453_<10> · 10243638311_<11>

(34·10²⁷+11)/9 =: 3777777777777777777777777779_<28>; = 3192668909_<10> · 1183266378523742431_<19>

(34·10²⁸+11)/9 =: 37777777777777777777777777779_<29>; = 3 · 7 · 43 · 2357 · 17749620614910547915649_<23>

(34·10²⁹+11)/9 =: 377777777777777777777777777779_<30>; = 179 · 15287 · 138587 · 996181832934964229_<18>

(34·10³⁰+11)/9 =: 3777777777777777777777777777779_<31>; = 479 · 4261 · 306824967913_<12> · 6032518501057_<13>

(34·10³¹+11)/9 =: 37777777777777777777777777777779_<32>; = 3 · 13 · 968660968660968660968660968661_<30>

(34·10³²+11)/9 =: 377777777777777777777777777777779_<33>; = 23327 · 195907 · 624787 · 3869993 · 34188921421_<11>

(34·10³³+11)/9 =: 3777777777777777777777777777777779_<34>; = 23 · 1142863 · 143719070203050233522142571_<27>

(34·10³⁴+11)/9 =: 37777777777777777777777777777777779_<35>; = 3³ · 7 · 154183 · 224352858539_<12> · 5778385398224203_<16>

(34·10³⁵+11)/9 =: 377777777777777777777777777777777779_<36>; = 59 · 89 · 127 · 2663 · 128975123 · 1649352758699456323_<19>

(34·10³⁶+11)/9 =: 3777777777777777777777777777777777779_<37>; = 433 · 134293 · 3167920139_<10> · 20507886760852367269_<20>

(34·10³⁷+11)/9 =: 37777777777777777777777777777777777779_<38>; = 3 · 13 · 952163933462641_<15> · 1017325834993911725221_<22>

(34·10³⁸+11)/9 =: 377777777777777777777777777777777777779_<39>; = 414786257175974063_<18> · 910776987525661079933_<21>

(34·10³⁹+11)/9 =: 3777777777777777777777777777777777777779_<40>; = 61 · 24107 · 63361 · 1057580351_<10> · 38337872472929838707_<20>

(34·10⁴⁰+11)/9 =: 37777777777777777777777777777777777777779_<41>; = 3 · 7 · 25366879 · 31842771703_<11> · 2227097407473166800527_<22>

(34·10⁴¹+11)/9 =: 377777777777777777777777777777777777777779_<42>; = 795862295708741_<15> · 474677315177187157411173719_<27>

(34·10⁴²+11)/9 =: 3777777777777777777777777777777777777777779_<43>; = 180413 · 20939609550186393318540115056995769583_<38>

(34·10⁴³+11)/9 =: 37777777777777777777777777777777777777777779_<44>; = 3² · 13 · 1097 · 2459 · 4493 · 253243 · 105198978139104846141564131_<27>

(34·10⁴⁴+11)/9 =: 377777777777777777777777777777777777777777779_<45>; = 19 · 19883040935672514619883040935672514619883041_<44>

(34·10⁴⁵+11)/9 =: 3777777777777777777777777777777777777777777779_<46>; = 10949 · 45742803800741_<14> · 7542914252588425151954358731_<28>

(34·10⁴⁶+11)/9 =: 37777777777777777777777777777777777777777777779_<47>; = 3 · 7² · 3259 · 11160407 · 133887989776999_<15> · 52773154957034915411_<20>

(34·10⁴⁷+11)/9 =: 377777777777777777777777777777777777777777777779_<48>; = 29 · 109 · 119512109388730711097050862947731027452634539_<45>

(34·10⁴⁸+11)/9 =: 3777777777777777777777777777777777777777777777779_<49>; = 181 · 613 · 11164610327489_<14> · 3049676607329784252103302076987_<31>

(34·10⁴⁹+11)/9 =: 37777777777777777777777777777777777777777777777779_<50>; = 3 · 13 · 43 · 661 · 593083 · 2942461 · 19528806151021486114814487712589_<32>

(34·10⁵⁰+11)/9 =: 377777777777777777777777777777777777777777777777779_<51>; = 193 · 36191 · 109423 · 1061771 · 78544867 · 5926813068317861006975203_<25>

(34·10⁵¹+11)/9 =: 3777777777777777777777777777777777777777777777777779_<52>; = 5298033227_<10> · 1461284701469_<13> · 487962999606593887652881227533_<30>

(34·10⁵²+11)/9 =: 37777777777777777777777777777777777777777777777777779_<53>; = 3² · 7 · 2521 · 5858106178289_<13> · 571562302981711_<15> · 71039876211755019787_<20>

(34·10⁵³+11)/9 =: 377777777777777777777777777777777777777777777777777779_<54>; = 83 · 38917 · 344241909791592929_<18> · 339746677562141339452550104141_<30>

(34·10⁵⁴+11)/9 =: 3777777777777777777777777777777777777777777777777777779_<55>; = 1326167 · 2848644083119077595640502122114166449457555328837_<49>

(34·10⁵⁵+11)/9 =: 37777777777777777777777777777777777777777777777777777779_<56>; = 3 · 13 · 23 · 163 · 21163 · 2554549 · 12682346861_<11> · 381036964701403_<15> · 989004243019609_<15>

(34·10⁵⁶+11)/9 =: 377777777777777777777777777777777777777777777777777777779_<57>; = 22963 · 11862217 · 1386889682460629679186960670044274440029944249_<46>

(34·10⁵⁷+11)/9 =: 3777777777777777777777777777777777777777777777777777777779_<58>; = 191 · 907 · 3774193 · 14390671 · 709264977150859_<15> · 566085575516122720676971_<24>

(34·10⁵⁸+11)/9 =: 37777777777777777777777777777777777777777777777777777777779_<59>; = 3 · 7 · 57347 · 81629 · 384292521641532483933723204794305211401205252273_<48>

(34·10⁵⁹+11)/9 =: 377777777777777777777777777777777777777777777777777777777779_<60>; = 19473662934142433_<17> · 67222599191634235289_<20> · 288584803740514051969867_<24>

(34·10⁶⁰+11)/9 =: 3777777777777777777777777777777777777777777777777777777777779_<61>; = 643 · 14372428344427_<14> · 15655125896831_<14> · 26111914682363319980356488238669_<32>

(34·10⁶¹+11)/9 =: 37777777777777777777777777777777777777777777777777777777777779_<62>; = 3⁴ · 13 · 331 · 457 · 237172233022592296566767510835260551301037965652827429_<54>

(34·10⁶²+11)/9 =: 377777777777777777777777777777777777777777777777777777777777779_<63>; = 19 · 19883040935672514619883040935672514619883040935672514619883041_<62>

(34·10⁶³+11)/9 =: 3777777777777777777777777777777777777777777777777777777777777779_<64>; = 263 · 3247859383_<10> · 49673132185716215017_<20> · 89035232134265662272879495230203_<32>

(34·10⁶⁴+11)/9 =: 37777777777777777777777777777777777777777777777777777777777777779_<65>; = 3 · 7 · 293 · 26107 · 71244071 · 535083731221924039150081_<24> · 6169103389548819116233399_<25>

(34·10⁶⁵+11)/9 =: 377777777777777777777777777777777777777777777777777777777777777779_<66>; = 9526475183747_<13> · 93824861096767_<14> · 422655219907839585718011871077753954671_<39>

(34·10⁶⁶+11)/9 =: 3777777777777777777777777777777777777777777777777777777777777777779_<67>; = 253423 · 14907004406773567425915476408130981709544034194914343914237373_<62>

(34·10⁶⁷+11)/9 =: 37777777777777777777777777777777777777777777777777777777777777777779_<68>; = 3 · 13 · 83882936477127960761996249_<26> · 11547771326831050315786636646544197322589_<41>

(34·10⁶⁸+11)/9 =: 377777777777777777777777777777777777777777777777777777777777777777779_<69>; = 2341 · 18550333 · 98349559613_<11> · 101631739076057_<15> · 870325096889873245005651925726423_<33>

(34·10⁶⁹+11)/9 =: 3777777777777777777777777777777777777777777777777777777777777777777779_<70>; = 262349 · 237661414597133_<15> · 22451103468291187202749_<23> · 2698737385257864899756768663_<28>

(34·10⁷⁰+11)/9 =: 37777777777777777777777777777777777777777777777777777777777777777777779_<71>; = 3² · 7 · 43 · 47 · 11897 · 147773 · 7875718363062647790858494951_<28> · 21429242305551795766311608083_<29>

(34·10⁷¹+11)/9 =: 377777777777777777777777777777777777777777777777777777777777777777777779_<72>; = 27431 · 1360142706217_<13> · 8303173273035449022278081_<25> · 1219456153423182950481381314317_<31>

(34·10⁷²+11)/9 =: 3777777777777777777777777777777777777777777777777777777777777777777777779_<73>; = 2833 · 13463285883113503_<17> · 99046416017028231225801389571493874812351873828656221_<53>

(34·10⁷³+11)/9 =: 37777777777777777777777777777777777777777777777777777777777777777777777779_<74>; = 3 · 13 · 8677 · 2593691326593129179_<19> · 16628343463154014053769_<23> · 2588421073694811679974239243_<28>

(34·10⁷⁴+11)/9 =: 377777777777777777777777777777777777777777777777777777777777777777777777779_<75>; = 233 · 373 · 460030881313_<12> · 9448974314850051146367158531343208041560667372492939937487_<58>

(34·10⁷⁵+11)/9 =: 3777777777777777777777777777777777777777777777777777777777777777777777777779_<76>; = 29 · 23333 · 8081657 · 4797566099770113037_<19> · 6009356069178014717_<19> · 23961748720641824936114099_<26>

(34·10⁷⁶+11)/9 =: 37777777777777777777777777777777777777777777777777777777777777777777777777779_<77>; = 3 · 7 · 679931873 · 78061270784842697467_<20> · 33893474828288980077710968239581822980392068389_<47>

(34·10⁷⁷+11)/9 =: 377777777777777777777777777777777777777777777777777777777777777777777777777779_<78>; = 23 · 127 · 1559 · 7207 · 11510765683450870797865237651561808124009896620938003197502925648123_<68>

(34·10⁷⁸+11)/9 =: 3777777777777777777777777777777777777777777777777777777777777777777777777777779_<79>; = 257497 · 177574949 · 323677561 · 3376488547_<10> · 75597017456260133342662575923492942212726852429_<47>

(34·10⁷⁹+11)/9 =: 37777777777777777777777777777777777777777777777777777777777777777777777777777779_<80>; = 3² · 13 · 89 · 113 · 21067 · 53047 · 2687231 · 1891969988009_<13> · 5650661977456537288465586313929614317193133021_<46>

(34·10⁸⁰+11)/9 =: 377777777777777777777777777777777777777777777777777777777777777777777777777777779_<81>; = 19 · 1579 · 152381 · 116135567 · 8860201297_<10> · 1659741826739071676093_<22> · 48386085133250261146650842093237_<32>

(34·10⁸¹+11)/9 =: 3777777777777777777777777777777777777777777777777777777777777777777777777777777779_<82>; = 113560580581167246473_<21> · 11618379035702880726132131_<26> · 2863276327475122686511459808920949033_<37>

(34·10⁸²+11)/9 =: 37777777777777777777777777777777777777777777777777777777777777777777777777777777779_<83>; = 3 · 7 · 963430522463_<12> · 2003279381377_<13> · 61234289359667_<14> · 15221607129119880148193596992056383827024547_<44>

(34·10⁸³+11)/9 =: 377777777777777777777777777777777777777777777777777777777777777777777777777777777779_<84>; = 1433 · 6065954803_<10> · 43460132606606211616033124245944273982770134052275832540859452422138921_<71>

(34·10⁸⁴+11)/9 =: 3777777777777777777777777777777777777777777777777777777777777777777777777777777777779_<85>; = 1733 · 21367729 · 102018627822120021182693117948744712774091688260990050157455758268655319047_<75>

(34·10⁸⁵+11)/9 =: 37777777777777777777777777777777777777777777777777777777777777777777777777777777777779_<86>; = 3 · 13 · 414721 · 7330537637_<10> · 53394645695461317008591_<23> · 5967359969139914142159410895852196229337196223_<46>

(34·10⁸⁶+11)/9 =: 377777777777777777777777777777777777777777777777777777777777777777777777777777777777779_<87>; = 7451 · 29231 · 399403 · 4342770195978497770196901210643394464062588795429613801232365327683773653_<73>

(34·10⁸⁷+11)/9 =: 3777777777777777777777777777777777777777777777777777777777777777777777777777777777777779_<88>; = 71001863 · 10550637036601_<14> · 5042988533837111799701288110017926258621120363456591870401860922333_<67>

(34·10⁸⁸+11)/9 =: 37777777777777777777777777777777777777777777777777777777777777777777777777777777777777779_<89>; = 3³ · 7² · 75379813 · 378810063235828189678295450972323686284579278232674196964723967949661473246821_<78>

(34·10⁸⁹+11)/9 =: 377777777777777777777777777777777777777777777777777777777777777777777777777777777777777779_<90>; = 209269 · 390839142047_<12> · 21646509855017_<14> · 213376002147353974833986947915623689398437086784717534783409_<60>

(34·10⁹⁰+11)/9 =: 3777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779_<91>; = 1607 · 2351 · 9679 · 3460463 · 173788198975128936245335930123_<30> · 171784082362729428603632754214419643178678257_<45> (Makoto Kamada / msieve 0.81 / 8.8 minutes)

(34·10⁹¹+11)/9 =: 37777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779_<92>; = 3 · 13 · 43 · 641268141191740661980039_<24> · 266337491609586139221487433981_<30> · 131895924247857278571257073936088253_<36>

(34·10⁹²+11)/9 =: 377777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779_<93>; = 1999 · 30223 · 178349 · 190993277329133_<15> · 15136572633916289_<17> · 22222460580646676897_<20> · 545729698943106610429181469307_<30>

(34·10⁹³+11)/9 =: 3777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779_<94>; = 59 · 436808002737940710442965739561399_<33> · 146586443987740617480492818719864970252923227021916233919519_<60> (Makoto Kamada / GGNFS-0.70.5 / 0.32 hours)

(34·10⁹⁴+11)/9 =: 37777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779_<95>; = 3 · 7 · 83 · 21673997577612035443360744565563842672276407216166252310830624083636131828902913240262637853_<92>

(34·10⁹⁵+11)/9 =: 377777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779_<96>; = 28411 · 1670824523623_<13> · 7958276910088005851284820496881766680932025126676900702166497002433177962890543_<79>

(34·10⁹⁶+11)/9 =: 3777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779_<97>; = 84467 · 18773199030181_<14> · 21863734279811_<14> · 7008019089919575149_<19> · 15548605211595439274411721761210887252700894443_<47>

(34·10⁹⁷+11)/9 =: 37777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779_<98>; = 3² · 13² · 9127 · 37117 · 19291918427189_<14> · 276741212804783_<15> · 150117528707313569537_<21> · 91479885647754932178562925050316342219_<38>

(34·10⁹⁸+11)/9 =: 377777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779_<99>; = 19 · 19883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883041_<98>

(34·10⁹⁹+11)/9 =: 3777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779_<100>; = 23 · 61 · 613 · 653 · 2557 · 932950592723_<12> · 127314656966398611461_<21> · 17294071976991865832005267_<26> · 1280678272234445656829992120241_<31>

(34·10¹⁰⁰+11)/9 =: 37777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779_<101>; = 3 · 7 · 148763 · 12092669541094216584761948864581911777787096246659444497616623750138132074500660775473732996773_<95>

(34·10¹⁰¹+11)/9 =: 3(7)₁₀₀9_<102>; = 16357992419_<11> · 10930301662692283_<17> · 2112877201169262261102180730376104010304894021962130683670335290499525306627_<76>

(34·10¹⁰²+11)/9 =: 3(7)₁₀₁9_<103>; = 1879 · 2010525693335698657678434155283543255868961031281414463958370291526225533676305363372952516113772101_<100>

(34·10¹⁰³+11)/9 =: 3(7)₁₀₂9_<104>; = 3 · 13 · 29 · 94794758099501_<14> · 352362335610996593749303855728820689405970773477771629868234171584900615994215221774109_<87>

(34·10¹⁰⁴+11)/9 =: 3(7)₁₀₃9_<105>; = 2621 · 434458667 · 4212942863_<10> · 78747241980789845005081093652084765795067500683068963092887568656206948601789771619_<83>

(34·10¹⁰⁵+11)/9 =: 3(7)₁₀₄9_<106>; = 17886299034173_<14> · 16642721591827131487_<20> · 2292442362620348761393_<22> · 5535962592976042011169135119336831614685653466101953_<52>

(34·10¹⁰⁶+11)/9 =: 3(7)₁₀₅9_<107>; = 3² · 7 · 24942105209745798849827323_<26> · 24863616848674778486384620939_<29> · 966937596227739437787889498418727054692816376895589_<51>

(34·10¹⁰⁷+11)/9 =: 3(7)₁₀₆9_<108>; = 4671999136380284872610917_<25> · 80859984505576746936871394603040401309754524359176489642971577730736117609930884087_<83>

(34·10¹⁰⁸+11)/9 =: 3(7)₁₀₇9_<109>; = 131759 · 865687 · 24176574767_<11> · 1369936540648703004475867504307598401690060040679753888186255995823848126526427285013989_<88>

(34·10¹⁰⁹+11)/9 =: 3(7)₁₀₈9_<110>; = 3 · 13 · 6359 · 1428811 · 69088672629181921_<17> · 279173844998619244488422173_<27> · 5527472793432819034124928213884355318384368208974141933_<55>

(34·10¹¹⁰+11)/9 =: 3(7)₁₀₉9_<111>; = 140171 · 10325458862673127323701_<23> · 261017048899010479131697366260212385023233213094522248987773438080311960716464540149_<84>

(34·10¹¹¹+11)/9 =: 3(7)₁₁₀9_<112>; = 563 · 354251 · 16073446231421_<14> · 204299239343543061430688025255617_<33> · 5768211505423474971537140751833607331304181131758554013919_<58> (Makoto Kamada / GMP-ECM 6.2.1 B1=25e4, sigma=996241474 for P33 / Nov 29, 2008)

(34·10¹¹²+11)/9 =: 3(7)₁₁₁9_<113>; = 3 · 7 · 43 · 523011353 · 79990339692194332609802244576986241861904748816907210318551989797232945814250840134328471940052406781_<101>

(34·10¹¹³+11)/9 =: 3(7)₁₁₂9_<114>; = 6211 · 51431 · 470501 · 2513560592666153871884567944432136538344630711187926677218273628936942836075065423475537397066271419_<100>

(34·10¹¹⁴+11)/9 =: 3(7)₁₁₃9_<115>; = 7321 · 36877909 · 109800841882992679242587083_<27> · 127436560800862305642638208616879202407261546540391613056160282716439524407517_<78>

(34·10¹¹⁵+11)/9 =: 3(7)₁₁₄9_<116>; = 3³ · 13 · 1648813801501245593_<19> · 29415027840806636275258180245178147_<35> · 2219158965639345523025597599430986517293980929370944685537799_<61> (Robert Backstrom / GMP-ECM 6.2.1 B1=1164000, sigma=3694281782 for P35 / Dec 3, 2008)

(34·10¹¹⁶+11)/9 =: 3(7)₁₁₅9_<117>; = 19 · 47 · 3265567 · 912615983 · 718932414762110124051881_<24> · 195341378603014429427925793_<27> · 1010778431048020697415646748417370899286898534631_<49>

(34·10¹¹⁷+11)/9 =: 3(7)₁₁₆9_<118>; = 358289 · 10166759834121798343_<20> · 3169840304725009685413906056034592944278811_<43> · 327177165093027581456207742002827740502041351113407_<51> (Sinkiti Sibata / Msieve 1.38 for P43 x P51 / 2.55 hours / Dec 3, 2008)

(34·10¹¹⁸+11)/9 =: 3(7)₁₁₇9_<119>; = 3 · 7 · 47325683 · 38011956403076083271718271851286307728489450409871505537467717030978695897509641835318022600940419580247768253_<110>

(34·10¹¹⁹+11)/9 =: 3(7)₁₁₈9_<120>; = 127 · 3467 · 1614479767_<10> · 134550578004032969503029919091315931135151_<42> · 3949668719875040095385887177491447940304626316925380622724998143_<64> (Serge Batalov / Msieve-1.38 snfs / 1.00 hours on Opteron-2.6GHz; Linux x86_64 / Dec 3, 2008)

(34·10¹²⁰+11)/9 =: 3(7)₁₁₉9_<121>; = 60340365636059_<14> · 8872235961827781761_<19> · 7056598150586340270808036955433201771239447655503530701247560219861439653167011347730121_<88>

(34·10¹²¹+11)/9 =: 3(7)₁₂₀9_<122>; = 3 · 13 · 23 · 97 · 1518383 · 465530412425382869_<18> · 2599966734034160812117_<22> · 236251757642263068137680077063573529919810678159110615148730296943490309_<72>

(34·10¹²²+11)/9 =: 3(7)₁₂₁9_<123>; = 5351 · 89620398463348176243456330223_<29> · 125930051109900781050517676232507094612633_<42> · 6255545776522447969252532683162886614264007977331_<49> (Erik Branger / Msieve for P42 x P49 / 1.47 hours / Dec 3, 2008)

(34·10¹²³+11)/9 =: 3(7)₁₂₂9_<124>; = 89 · 22921 · 726360457 · 14180130100679_<14> · 179796167906705307828134465665977534399064390859357087335199277220172714856215775646232210082797_<96>

(34·10¹²⁴+11)/9 =: 3(7)₁₂₃9_<125>; = 3² · 7 · 18104626277_<11> · 508906763885687_<15> · 11755544030123143_<17> · 5536372951547840166766473283801980588108620330672434288807431665902600729333068169_<82>

(34·10¹²⁵+11)/9 =: 3(7)₁₂₄9_<126>; = 1487² · 255487 · 1876151531_<10> · 5443398684485062745608459470540440836230952784999_<49> · 65479839726556724918536912328130937246647388805273851297_<56> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 2.85 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Dec 3, 2008)

(34·10¹²⁶+11)/9 =: 3(7)₁₂₅9_<127>; = 149 · 786024630613_<12> · 11556605817444769_<17> · 592347093289943001319_<21> · 1178639942837215622989_<22> · 3997847901617201584774775484762707242737251846659038673_<55>

(34·10¹²⁷+11)/9 =: 3(7)₁₂₆9_<128>; = 3 · 13 · 2607991 · 3094954575702726439122095056342669879877024807_<46> · 120008341231712023239286079666107104918324943560165096405970394211220012853_<75> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 4.45 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Dec 3, 2008)

(34·10¹²⁸+11)/9 =: 3(7)₁₂₇9_<129>; = 9293695219_<10> · 2054670884986014473_<19> · 19783617863870913661387483571021429610851214350345072153780623859832786211758528002306969338346495417_<101>

(34·10¹²⁹+11)/9 =: 3(7)₁₂₈9_<130>; = 143113603 · 1082237551_<10> · 355198028399_<12> · 68669256744502359611329780267906101936039106377915784758776917915693678658956078726976186204060817457_<101>

(34·10¹³⁰+11)/9 =: 3(7)₁₂₉9_<131>; = 3 · 7² · 167 · 223 · 709 · 41549 · 234256110320670127824315456614053740364386397929155534631813219194978579739572450756550275658295065172783472554419497_<117>

(34·10¹³¹+11)/9 =: 3(7)₁₃₀9_<132>; = 29 · 1109 · 115877 · 8389061 · 13778025829_<11> · 877019548285502174566419252203951012406801495831598253057765537680793326383119414145074813722924140863503_<105>

(34·10¹³²+11)/9 =: 3(7)₁₃₁9_<133>; = 10018907 · 2005869806923_<13> · 704443609565155929330823351494758617941251_<42> · 266849926365080321478332525760082425809629672857355064497940552907853289_<72> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 7.58 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Dec 3, 2008)

(34·10¹³³+11)/9 =: 3(7)₁₃₂9_<134>; = 3² · 13 · 43 · 3041 · 7157041348997849_<16> · 3858971354503959667_<19> · 1611364825756490385391657092199601092037_<40> · 55483865437642055596519639266633036099126609006735619_<53> (Erik Branger / Msieve for P40 x P53 / 2.47 hours / Dec 3, 2008)

(34·10¹³⁴+11)/9 =: 3(7)₁₃₃9_<135>; = 19 · 374047 · 2174281046333862930037878901_<28> · 881826597797799257233689206803_<30> · 27724119158394433966044807026838624228049298969437410695567232496220401_<71> (Sinkiti Sibata / Msieve 1.38 for P30 x P71 / 15.31 hours / Dec 4, 2008)

(34·10¹³⁵+11)/9 =: 3(7)₁₃₄9_<136>; = 83 · 1271659 · 38820576214206694652531103157_<29> · 1841221420817442296175794794789_<31> · 500748491627872924290376533581931521233778005915252163983598241292459_<69> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=327529411 for P31 / Dec 3, 2008)

(34·10¹³⁶+11)/9 =: 3(7)₁₃₅9_<137>; = 3 · 7 · 163 · 526424108506853_<15> · 53655775625396912603_<20> · 129875636537331934293962710004963_<33> · 3008496924078089501053188927281925523873777858397632239079606003769_<67> (Sinkiti Sibata / Msieve 1.38 for P33 x P67 / 10.19 hours / Dec 4, 2008)

(34·10¹³⁷+11)/9 =: 3(7)₁₃₆9_<138>; = 313 · 24601879358045760753375775352802939606580539840588556396176557740009_<68> · 49059575445962897342059554987416196312658920843681835646967035583187_<68> (Serge Batalov / Msieve / 5.50 hours / Dec 3, 2008)

(34·10¹³⁸+11)/9 =: 3(7)₁₃₇9_<139>; = 140076367 · 334616317985480536983994258642411534504181_<42> · 80598029134143922014930835608991813141358557739630559737319918330172366613804758172608777_<89> (Sinkiti Sibata / GGNFS-0.77.1-20060513-nocona snfs / 11.59 hours on Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin / Dec 3, 2008)

(34·10¹³⁹+11)/9 =: 3(7)₁₃₈9_<140>; = 3 · 13 · 5345839 · 1884412268365297588349011991_<28> · 61263556015151357159648903389_<29> · 1569559561447692995353475586965088057887602109337254519844390598571223732001_<76>

(34·10¹⁴⁰+11)/9 =: 3(7)₁₃₉9_<141>; = 461 · 1667 · 33013 · 5286853178190512842446697555047849243640583_<43> · 2816551137745142953027574742897451096765053262076789526378442459821368042472899695804823_<88> (Sinkiti Sibata / GGNFS-0.77.1-20060513-nocona snfs / 11.70 hours on Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin / Dec 3, 2008)

(34·10¹⁴¹+11)/9 =: 3(7)₁₄₀9_<142>; = 829 · 39514398764869549287206850885745348933_<38> · 115325806065567829009781861388333198225804023813540351062894513229056794230954742920893255484355270947_<102> (Serge Batalov / Msieve / 6.00 hours on Opteron-2.6GHz; Linux x86_64 / Dec 3, 2008)

(34·10¹⁴²+11)/9 =: 3(7)₁₄₁9_<143>; = 3⁶ · 7 · 137358923287_<12> · 53895680698328729005239142091806814511250221757236504908265647724083778577196751138112263565460871973596681198465861452608324939_<128>

(34·10¹⁴³+11)/9 =: 3(7)₁₄₂9_<144>; = 23 · 11317 · 5137768343339_<13> · 10992452472143_<14> · 25698521657638310298209293908976366967819298857126758835269092909835808490962801802807060177945333362888080805597_<113>

(34·10¹⁴⁴+11)/9 =: 3(7)₁₄₃9_<145>; = 79360672873_<11> · 3263574903539507363_<19> · 2765096793442649994707_<22> · 5275056830261371553431060568154792950422206653506199598610941606963961916770182265471453910003_<94>

(34·10¹⁴⁵+11)/9 =: 3(7)₁₄₄9_<146>; = 3 · 13 · 307 · 29935852087_<11> · 105400288782557346242115717074821615669582623048404153536225217901439453662072050200727805901886125681094540923336589051304219800929_<132>

(34·10¹⁴⁶+11)/9 =: 3(7)₁₄₅9_<147>; = 14399154510373_<14> · 30707128827701843942496821713_<29> · 854397963741117079849124370596098618105875785226810199169027633660966290421542926320142812466532166897671_<105>

(34·10¹⁴⁷+11)/9 =: 3(7)₁₄₆9_<148>; = 54309556366955599_<17> · 69560092744126140128293744390799474716734315489767246732329378324047762231368915694251316089074365214349326203319677030543389169821_<131>

(34·10¹⁴⁸+11)/9 =: 3(7)₁₄₇9_<149>; = 3 · 7 · 126227 · 23834221709387491_<17> · 136061100348900004453193777393_<30> · 4394706727315139875544870349149726531886612053921328903129416402633146507216189846137880348388399_<97> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=452164895 for P30 / Dec 3, 2008)

(34·10¹⁴⁹+11)/9 =: 3(7)₁₄₈9_<150>; = 132173 · 2858206878695178120930733037592986296579314820559250208270810057861876311937973548135986758095660821633599735027409363317604789009690161967858623_<145>

(34·10¹⁵⁰+11)/9 =: 3(7)₁₄₉9_<151>; = 613 · 5474723484518379372701766368967546866644000693_<46> · 1125676874566949097792931739812198215757230882784080543645476831099365405414404627756124731207967774331_<103> (Serge Batalov / Msieve-1.39 / 9.00 hours on Xeon-2.4GHz; Linux x86_64 / Dec 4, 2008)

(34·10¹⁵¹+11)/9 =: 3(7)₁₅₀9_<152>; = 3² · 13 · 59² · 131 · 708068422809222190523664976401131157631914558099818250706423725641829298685529492827270000773856309504937864049084319355577431954244501895033717_<144>

(34·10¹⁵²+11)/9 =: 3(7)₁₅₁9_<153>; = 19 · 191 · 414131 · 144447487671082637_<18> · 152412726796011179_<18> · 1647053817762964230889_<22> · 523250770448871794120979543373_<30> · 13248380905122142260981540230290450565685829703184329552191_<59> (Makoto Kamada / GMP-ECM 6.2.1 B1=25e4, sigma=2096998275 for P30 / Nov 29, 2008)

(34·10¹⁵³+11)/9 =: 3(7)₁₅₂9_<154>; = 229 · 5326817 · 8034989 · 156893179 · 2456652896313984652621441382953752376780644987183076612373765030257201664599107326326921639025887369733132935375519274289003543113_<130>

(34·10¹⁵⁴+11)/9 =: 3(7)₁₅₃9_<155>; = 3 · 7 · 43 · 439 · 95298076968893306235044858766848489791754081630651000783966827299984051586530794031985958669224018590973085861044752817809977316254796786660959993587_<149>

(34·10¹⁵⁵+11)/9 =: 3(7)₁₅₄9_<156>; = 109 · 38431 · 26314325321_<11> · 1367414235817844393835674902661_<31> · 2506316354241965358478287885021487172210327240182297461454627912939386465253844371489098898542813986043072421_<109> (Serge Batalov / GMP-ECM 6.2.1 B1=1000000, sigma=415686968 for P31 / Dec 3, 2008)

(34·10¹⁵⁶+11)/9 =: 3(7)₁₅₅9_<157>; = 431 · 20428085369379755054381161567133_<32> · 1641290498119364233612216509348496842037_<40> · 261424338685306378465746420265055797130828604401971263690053114734342542603363295229_<84> (Serge Batalov / GMP-ECM 6.2.1 B1=1000000, sigma=2478402618 for P32 / Dec 3, 2008) (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 50.25 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Dec 7, 2008)

(34·10¹⁵⁷+11)/9 =: 3(7)₁₅₆9_<158>; = 3 · 13 · 998831 · 3105225669289836823_<19> · 312310524870381881792219816752975998234898296844374821852823182802880431713265522560541206072967432909980132943852999938274610700797_<132>

(34·10¹⁵⁸+11)/9 =: 3(7)₁₅₇9_<159>; = 701 · 6716727673_<10> · 115696420719886279056203125891_<30> · 424348478505207862622619592123_<30> · 1634248430116588547843715417096243925400542422743322491451597699563285471904612357271511_<88> (Makoto Kamada / GMP-ECM 6.2.1 B1=25e4, sigma=2575294176 for P30(1156...) / Nov 30, 2008) (Makoto Kamada / GMP-ECM 6.2.1 B1=25e4, sigma=1928600631 for P30(4243...) / Nov 30, 2008)

(34·10¹⁵⁹+11)/9 =: 3(7)₁₅₈9_<160>; = 29 · 61 · 11092973448917077_<17> · 56960796213499206995819411589421_<32> · 653999055531658257880633332837128587_<36> · 5167820598800979524424252379458124776983707013484074238580352480196575329_<73> (Sinkiti Sibata / GGNFS-0.77.1-20060513-nocona snfs / 45.26 hours on Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin / Dec 4, 2008)

(34·10¹⁶⁰+11)/9 =: 3(7)₁₅₉9_<161>; = 3² · 7 · 22543 · 15640944141321185099322247466507075594820802996029162961_<56> · 1700674430149138207643706969225336809928813149676112024635548084053368737429115806131547880354595571_<100> (Sinkiti Sibata / GGNFS-0.77.1-20060513-nocona snfs / 45.26 hours on Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin / Dec 4, 2008)

(34·10¹⁶¹+11)/9 =: 3(7)₁₆₀9_<162>; = 127 · 5981 · 452260176298104765469994838125306203_<36> · 39385795018549293522153408826555650505362558093119041313_<56> · 27920996888392742207968069111544861147664525260952212315370251203_<65> (Robert Backstrom / GMP-ECM 6.2.1 B1=2720000, sigma=232161349 for P36, GGNFS-0.77.1-20051202-athlon, Msieve 1.39 snfs / 31.55 hours, 2.91 hours / Dec 11, 2008)

(34·10¹⁶²+11)/9 =: 3(7)₁₆₁9_<163>; = 47 · 459443 · 67124546794083294248340603185287579_<35> · [2606306841918308784669025209898688038053573715705451307168694698444179234703434235423308619590868129220762915004730308381_<121>] (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=2188203815 for P35 / Dec 3, 2008) RESERVED

(34·10¹⁶³+11)/9 =: 3(7)₁₆₂9_<164>; = 3 · 13 · 2995517639_<10> · 1786997605439027_<16> · 19883035843764619_<17> · 2414031517419368222581_<22> · 538538060804192975491860866957_<30> · 7000578264100615505009002316587714144643825814097360015482214397616419_<70> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=384210140 for P30 / Dec 3, 2008)

(34·10¹⁶⁴+11)/9 =: 3(7)₁₆₃9_<165>; = 2839117 · 98039113 · 27696226951_<11> · 49004180944197928846313606168899774542017143028376670814261180759038310191400232218316572907455276349236524606191161763830137695348362240449_<140>

(34·10¹⁶⁵+11)/9 =: 3(7)₁₆₄9_<166>; = 23 · 541 · 11059 · 132305034338835795699004205791407388620792643_<45> · 547267159590746377431429613203845746240770116543947_<51> · 379157534695536082042970312038325842573501978968316577268679027_<63> (Serge Batalov / Msieve-1.39 snfs / 27.00 hours on Opteron-2.6GHz; Linux x86_64 / Dec 8, 2008)

(34·10¹⁶⁶+11)/9 =: 3(7)₁₆₅9_<167>; = 3 · 7 · 31626402448477_<14> · [56881012687816116882509529469225512722853884217827165715545764590324915101749318460398051179992115444952447748972611232406682686285021225138144952835987_<152>] SUBMIT/RESERVE

(34·10¹⁶⁷+11)/9 =: 3(7)₁₆₆9_<168>; = 89 · 643 · 4729 · 1395937949567846904982236264651814500274822615116266273828706475033996498331531647543074259209797208862880495615714659299540088904668571470803830302808087624513_<160>

(34·10¹⁶⁸+11)/9 =: 3(7)₁₆₇9_<169>; = 112010779 · 1237487765219969_<16> · 216088201207134256529_<21> · [126125999778607480690246033713828018537651058546696590725316441020016541300976869122526673281587490530406309722393433830705401_<126>] SUBMIT/RESERVE

(34·10¹⁶⁹+11)/9 =: 3(7)₁₆₈9_<170>; = 3³ · 13 · 6316473139_<10> · 407799232266689_<15> · 75988493960251357_<17> · [549870469179809804400773189900652481997984884146536985427414341642160967172160491609374388356461473305517418822641431219841707_<126>] SUBMIT/RESERVE

(34·10¹⁷⁰+11)/9 =: 3(7)₁₆₉9_<171>; = 19 · 601 · 673 · 8663 · 70439611822049_<14> · 5949365760417332575874777487329_<31> · 338927312633634574452868348574459_<33> · 39951286071499425676165028250701904891033092637792693030891274330699036140072514381_<83> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=1331521538 for P33, B1=3000000, sigma=1686472867 for P31 / Dec 3, 2008)

(34·10¹⁷¹+11)/9 =: 3(7)₁₇₀9_<172>; = 331 · 119099 · 71210173187_<11> · 1692232626843596402810016701_<28> · 795239956135960979283373766579296498924180852836613625191624143408347518527251468430535827344245379836871080147849658814157693_<126>

(34·10¹⁷²+11)/9 =: 3(7)₁₇₁9_<173>; = 3 · 7⁵ · 22906207 · [32709339293295653405389161183476271106949633991618747095363256042686944231211075637390850182455576410290605734321924801278797776521913329995119050282353380367257_<161>] SUBMIT/RESERVE

(34·10¹⁷³+11)/9 =: 3(7)₁₇₂9_<174>; = 1451 · 23175336529_<11> · 6061403725747_<13> · 33356516879350872097959604347349217261_<38> · 55563428979535597429283367913886066893955421083855121284705414022229840742979307014569462000972114986360128703_<110> (Serge Batalov / GMP-ECM 6.2.1 B1=1000000, sigma=158554100 for P38 / Dec 3, 2008)

(34·10¹⁷⁴+11)/9 =: 3(7)₁₇₃9_<175>; = 67809251671896677_<17> · [55711834073276839385347213077169408935319273001299635563718820035397247399670361717936846760156650952689449456046232914456706271335921019126314996346933377527_<158>] SUBMIT/RESERVE

(34·10¹⁷⁵+11)/9 =: 3(7)₁₇₄9_<176>; = 3 · 13² · 43 · 5651 · 799161371 · 5619289401813401_<16> · 68283976253221383129980111964581005725634244507906747338308899546608547239506744937601527649285844765928012756045636938739156677420626385504499_<143>

(34·10¹⁷⁶+11)/9 =: 3(7)₁₇₅9_<177>; = 83 · 135510466756369_<15> · 11939552774240499093602363_<26> · [2813179309163691635275054395058068182368089251924316182524672130643772094788707021714470844861307348981853603601265338624801412126545379_<136>] SUBMIT/RESERVE

(34·10¹⁷⁷+11)/9 =: 3(7)₁₇₆9_<178>; = 104911 · 3492397 · 613004352173_<12> · 112902670633223_<15> · 5586712586440183841_<19> · 48678432732124999451_<20> · 547811424570882037172757010704253748196491607993020085483071359498143157587286843921022133197921799833_<102>

(34·10¹⁷⁸+11)/9 =: 3(7)₁₇₇9_<179>; = 3² · 7 · 7903284196861_<13> · 370914301673863_<15> · [204557157356946480854143415213813486595652853694880759651666994858624191869065841613156672300821229211534964064348803326163217443695772089766633880231_<150>] SUBMIT/RESERVE

(34·10¹⁷⁹+11)/9 =: 3(7)₁₇₈9_<180>; = 2053 · 52489 · 21276949 · 407809981 · [404028458031595265237254488283314606271517735653715183507069029806579687268533937968981884397825905537046596508372583605832782942784324656446487455426232223_<156>] SUBMIT/RESERVE

(34·10¹⁸⁰+11)/9 =: 3(7)₁₇₉9_<181>; = 5574632468914608146858989470643476643459042798240453257348585029_<64> · 677672976441677150691405869835421581232568399868727814349136619956892166941871909050801747283982312193551902356049751_<117> (Robert Backstrom / GGNFS-0.77.1-20050930-k8, Msieve 1.39 snfs / 37.44 hours, 3.42 hours / Dec 13, 2008)

(34·10¹⁸¹+11)/9 =: 3(7)₁₈₀9_<182>; = 3 · 13 · 19495139 · 49687307623760397962213091615349275579346265172101038159751565180477485232019169940823128317713506359763254879519503229034102345649393351900115252764341339703638992707924199_<173>

(34·10¹⁸²+11)/9 =: 3(7)₁₈₁9_<183>; = 13537 · 9723774509_<10> · [2869981515042606379055563442019941450338752962945572009499566201486632038085489784737255347986847053690332378379588941073332256130613620743835333665234220840775417521663_<169>] SUBMIT/RESERVE

(34·10¹⁸³+11)/9 =: 3(7)₁₈₂9_<184>; = 4444217 · 95276716275441940516747_<23> · [8921838768232879393261543048099254917434112681056371065290864662115792473229166080389664137959521253578962564804675170788738398632407629279291875816296321_<154>] SUBMIT/RESERVE

(34·10¹⁸⁴+11)/9 =: 3(7)₁₈₃9_<185>; = 3 · 7 · 3153381182245925815602116031604202495320047121667445799461559645437791_<70> · 570480286072025881760890891024077848976969633603699632299856594817956338766406814897528070489702511123803391082489_<114> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon, Msieve 1.39 snfs / 28.87 hours, 4.22 hours / Dec 17, 2008)

(34·10¹⁸⁵+11)/9 =: 3(7)₁₈₄9_<186>; = 1039 · [363597476205753395358785156667736071008448294300074858303924713934338573414608063308737033472355897764944925676398246176879478130681210565714896802481018072933376109507004598438669661_<183>] RESERVED

(34·10¹⁸⁶+11)/9 =: 3(7)₁₈₅9_<187>; = 619 · 1660638461_<10> · 5640194887_<10> · 734453961140147_<15> · 887180481434705408180445454581547197447625768663363189639083524571944333864662146609371430968189652074474724742447156741065752539433229327131038017929_<150>

(34·10¹⁸⁷+11)/9 =: 3(7)₁₈₆9_<188>; = 3² · 13 · 23 · 29 · 4507 · 24517 · 12629051188104313_<17> · [346895849181743058508789373565936550569444909060589917286949927192448103920739590348428597573865625340925471180242060512965673273221674309572797400691530208363_<159>] SUBMIT/RESERVE

(34·10¹⁸⁸+11)/9 =: 3(7)₁₈₇9_<189>; = 19 · 3167 · 54673 · 6828917458921_<13> · 141522473677954575496709305193_<30> · [118818636354373834678341129976690275885036383831189369268516472576592786183983394505260652754963952768044196554737946327636300583734935967_<138>] (Serge Batalov / GMP-ECM 6.2.1 B1=1000000, sigma=2017253979 for P30 / Dec 3, 2008) SUBMIT/RESERVE

(34·10¹⁸⁹+11)/9 =: 3(7)₁₈₈9_<190>; = 3067 · 15464730703661_<14> · [79648989412479693485246535783946839629412595783642631085582027097980363442235335471125678281920569320053131403280023343004928473062849054883853500762599703069077727480508717_<173>] SUBMIT/RESERVE

(34·10¹⁹⁰+11)/9 =: 3(7)₁₈₉9_<191>; = 3 · 7 · 557 · 172313 · 106356828202199_<15> · 176229454466682572178645523243819116963382277253468182750317781623160517470532922590564660805491858655478926180504866055708509446624515222255427372686476190774536277661_<168>

(34·10¹⁹¹+11)/9 =: 3(7)₁₉₀9_<192>; = 113 · 1013 · 1367 · 2387502161115178976633_<22> · 1337145504619678888281505265819_<31> · [756236373443160421453035121713600323765358409279729564246893368867908079643552806026560336377896698009718785518696985667083469908299_<132>] (Makoto Kamada / GMP-ECM 6.2.1 B1=25e4, sigma=1897034879 for P31 / Nov 30, 2008) SUBMIT/RESERVE

(34·10¹⁹²+11)/9 =: 3(7)₁₉₁9_<193>; = 3719 · 20681 · 49117776049496595452637865901048822128932252315224520872021798364996652601892619726359640029745667389956256445416959074538812506196514434744304870071845770079190466703109456142543461261_<185>

(34·10¹⁹³+11)/9 =: 3(7)₁₉₂9_<194>; = 3 · 13 · [968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968661_<192>] SUBMIT/RESERVE

(34·10¹⁹⁴+11)/9 =: 3(7)₁₉₃9_<195>; = 2691197740780502992199450526686456932840409619277_<49> · 140375332534358627509741440328961748053188124694231767125239461652617980761194328247328425405232588742773325753465604320143168823613280390506804927_<147> (Wataru Sakai / Msieve / 658.53 hours / Dec 15, 2008)

(34·10¹⁹⁵+11)/9 =: 3(7)₁₉₄9_<196>; = 953 · 68729 · 366881 · 163526601981859077723120884329093_<33> · 961368412381412555919169196401372670874273950056658053981702077542462574970668135158370153464855870781156614873514062672211297852212038598474097727399_<150> (Makoto Kamada / GMP-ECM 6.2.1 B1=25e4, sigma=434059175 for P33 / Dec 1, 2008)

(34·10¹⁹⁶+11)/9 =: 3(7)₁₉₅9_<197>; = 3³ · 7 · 43 · 4648428421038240159687188110960720779842226870650643260462381909410333182943002064449092872865482684604131632555405165224286671315095087704906826353854777627387446508893537317309927129048576077_<193>

(34·10¹⁹⁷+11)/9 =: 3(7)₁₉₆9_<198>; = 3851 · 2356687 · 4807219 · 4137153370606657_<16> · [2092981811137394221938834429524562317547876790072190108942926309884015674361264061690441564419178534292033129843488536593501832561680662372689710053462068462403152749_<166>] SUBMIT/RESERVE

(34·10¹⁹⁸+11)/9 =: 3(7)₁₉₇9_<199>; = 110501 · 345944962629092687143_<21> · 487431470528644422733146459735402767_<36> · 202744752573318372422323054839304128700408443189463262974309331874473226300108176768945751786926898861429679103905594441113327049733804159_<138> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=4272672805 for P36 / Dec 3, 2008)

(34·10¹⁹⁹+11)/9 =: 3(7)₁₉₈9_<200>; = 3 · 13 · 5507 · 130459864858669_<15> · 123087461470591216202586986987_<30> · [10953829704231791410085821414232405799739351349985969557656598455228324439483161987798208582588891428733655478700248370983706723556511294017447598431241_<152>] (Makoto Kamada / GMP-ECM 6.2.1 B1=25e4, sigma=1184990995 for P30 / Dec 1, 2008) SUBMIT/RESERVE

(34·10²⁰⁰+11)/9 =: 3(7)₁₉₉9_<201>; = 491 · 1087 · 130747449269309_<15> · [5413674578713849589434252081985438550521055284066070864916766672590802532737804962688742787631518660999416339141909783264602272025782500764826391014355818771115703716362949315797043_<181>] SUBMIT/RESERVE

(34·10²⁰¹+11)/9 =: 3(7)₂₀₀9_<202>; = 613 · 10463 · 947638487444381399137523776727917_<33> · [621551354039585113776369048662467374494877397995276706501347037287825921109330099815375691340299939198266932712737822293439082110528073781426306264610059081985773_<162>] (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=3942574903 for P33 / Dec 3, 2008) SUBMIT/RESERVE

(34·10²⁰²+11)/9 =: 3(7)₂₀₁9_<203>; = 3 · 7 · 499 · 3739 · 14047889501149291283455750209175223_<35> · 68635692462657843755409791947893461882738756765772323734696621539462564393461204796011941878836844194249805344896486677932706382334694441512487192134842024397233_<161> (Makoto Kamada / GMP-ECM 6.2.1 B1=25e4, sigma=2362313126 for P35 / Dec 1, 2008)

(34·10²⁰³+11)/9 =: 3(7)₂₀₂9_<204>; = 127 · 4157 · 1084987 · 1576097849_<10> · 267522701219_<12> · 241852534709016633483041799377417_<33> · [6467458742747490908426758718543314878516214661999799045633580159444730768422463131124826108330789481076500407954611602955238945601019157889_<139>] (Serge Batalov / GMP-ECM 6.2.1 B1=1000000, sigma=1984248884 for P33 / Dec 3, 2008) SUBMIT/RESERVE

(34·10²⁰⁴+11)/9 =: 3(7)₂₀₃9_<205>; = 1217 · 56009 · [55422742289022862283824143853887576991826891328751232033297879242082979852380776076086048938897611694988886085639185523223704492054177549757531452279917769668485134113508518003581473029458946383643_<197>] SUBMIT/RESERVE

(34·10²⁰⁵+11)/9 =: 3(7)₂₀₄9_<206>; = 3² · 13 · 31908161 · [10119260384628754390542500696096406819649900523996234703807812351005005281341252777107907294403052233366135400999355292009972631230204384190496604391804013827566569031884650251583609688035282060167_<197>] SUBMIT/RESERVE

Factorizations

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