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Factorizations of 744...449

About 744...449
- First ten terms
- General term
Prime numbers of the form 744...449
Factorizations of 744...449
References

1. About 744...449

First ten terms

79, 749, 7449, 74449, 744449, 7444449, 74444449, 744444449, 7444444449, 74444444449

General term

(67·10ⁿ+41)/9

2. Prime numbers of the form 744...449

Last update

Sep 15, 2010

Searched up to

n≤30000

Difficulty of search

13.55%

Results

(67·10¹+41)/9 = 79 is prime. (Makoto Kamada / Dec 6, 2004)
(67·10⁴+41)/9 = 74449 is prime. (Makoto Kamada / Dec 6, 2004)
(67·10⁷+41)/9 = 74444449 is prime. (Makoto Kamada / Dec 6, 2004)
(67·10³⁴+41)/9 = 7(4)₃₃9_<35> is prime. (Makoto Kamada / PPSIQS / Dec 6, 2004)
(67·10⁸²+41)/9 = 7(4)₈₁9_<83> is prime. (Makoto Kamada / PPSIQS / Dec 6, 2004)
(67·10⁴⁵¹+41)/9 = 7(4)₄₅₀9_<452> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / May 31, 2006)
(67·10⁷⁷²+41)/9 = 7(4)₇₇₁9_<773> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / May 31, 2006)
(67·10²⁵⁵⁴+41)/9 = 7(4)₂₅₅₃9_<2555> is PRP. (Makoto Kamada / PFGW / Dec 17, 2004)
(67·10⁶²⁵⁰+41)/9 = 7(4)₆₂₄₉9_<6251> is PRP. (Makoto Kamada / PFGW / Dec 25, 2004)
(67·10¹⁵¹³⁷+41)/9 = 7(4)₁₅₁₃₆9_<15138> is PRP. (Ray Chandler / srsieve, PFGW / Sep 9, 2010)
(67·10²⁰⁰⁷⁴+41)/9 = 7(4)₂₀₀₇₃9_<20075> is PRP. (Ray Chandler / srsieve, PFGW / Sep 10, 2010)

3. Factorizations of 744...449

Last update

Dec 8, 2011

Completed up to

n≤100 / Dec 6, 2004
n≤150 / Nov 7, 2009

Range

n≤200

Terms which have not been factored yet

n=183, 184, 187, 188, 190, 194, 195, 196, 197 (9/200)

Results

(67·10¹+41)/9 =: 79; = definitely prime number

(67·10²+41)/9 =: 749; = 7 · 107

(67·10³+41)/9 =: 7449; = 3 · 13 · 191

(67·10⁴+41)/9 =: 74449; = definitely prime number

(67·10⁵+41)/9 =: 744449; = 241 · 3089

(67·10⁶+41)/9 =: 7444449; = 3² · 827161

(67·10⁷+41)/9 =: 74444449; = definitely prime number

(67·10⁸+41)/9 =: 744444449; = 7 · 3593 · 29599

(67·10⁹+41)/9 =: 7444444449_<10>; = 3 · 13 · 17 · 29 · 387187

(67·10¹⁰+41)/9 =: 74444444449_<11>; = 1741 · 42759589

(67·10¹¹+41)/9 =: 744444444449_<12>; = 12923 · 57606163

(67·10¹²+41)/9 =: 7444444444449_<13>; = 3 · 53 · 46820405311_<11>

(67·10¹³+41)/9 =: 74444444444449_<14>; = 19 · 83 · 23131 · 2040827

(67·10¹⁴+41)/9 =: 744444444444449_<15>; = 7 · 59² · 79 · 5023 · 76991

(67·10¹⁵+41)/9 =: 7444444444444449_<16>; = 3² · 13 · 63627730294397_<14>

(67·10¹⁶+41)/9 =: 74444444444444449_<17>; = 39217 · 1898269741297_<13>

(67·10¹⁷+41)/9 =: 744444444444444449_<18>; = 47 · 823 · 1759 · 10941295831_<11>

(67·10¹⁸+41)/9 =: 7444444444444444449_<19>; = 3 · 23 · 101847667 · 1059332063_<10>

(67·10¹⁹+41)/9 =: 74444444444444444449_<20>; = 61 · 347 · 25183 · 136859 · 1020451

(67·10²⁰+41)/9 =: 744444444444444444449_<21>; = 7² · 2609671 · 5821708469831_<13>

(67·10²¹+41)/9 =: 7444444444444444444449_<22>; = 3 · 13 · 11154523 · 17112626948117_<14>

(67·10²²+41)/9 =: 74444444444444444444449_<23>; = 617 · 1868843 · 64561603907179_<14>

(67·10²³+41)/9 =: 744444444444444444444449_<24>; = 193 · 367 · 319727 · 32872263331777_<14>

(67·10²⁴+41)/9 =: 7444444444444444444444449_<25>; = 3³ · 1337227 · 47648651 · 4327257931_<10>

(67·10²⁵+41)/9 =: 74444444444444444444444449_<26>; = 17 · 53 · 160126643 · 515993110942943_<15>

(67·10²⁶+41)/9 =: 744444444444444444444444449_<27>; = 7 · 4201484753513_<13> · 25312291389439_<14>

(67·10²⁷+41)/9 =: 7444444444444444444444444449_<28>; = 3 · 13 · 79 · 303736201 · 7955070599477329_<16>

(67·10²⁸+41)/9 =: 74444444444444444444444444449_<29>; = 181763 · 409568748559632292845323_<24>

(67·10²⁹+41)/9 =: 744444444444444444444444444449_<30>; = 52310226211_<11> · 14231336745546318059_<20>

(67·10³⁰+41)/9 =: 7444444444444444444444444444449_<31>; = 3 · 19291297 · 128632174471290420829739_<24>

(67·10³¹+41)/9 =: 74444444444444444444444444444449_<32>; = 19 · 149 · 26296165469602417677302876879_<29>

(67·10³²+41)/9 =: 744444444444444444444444444444449_<33>; = 7 · 277 · 2269 · 1000168635637_<13> · 169179118183547_<15>

(67·10³³+41)/9 =: 7444444444444444444444444444444449_<34>; = 3² · 13 · 487 · 130652423602457825592664743931_<30>

(67·10³⁴+41)/9 =: 74444444444444444444444444444444449_<35>; = definitely prime number

(67·10³⁵+41)/9 =: 744444444444444444444444444444444449_<36>; = 241 · 251 · 2395643 · 5137116673362647030054873_<25>

(67·10³⁶+41)/9 =: 7444444444444444444444444444444444449_<37>; = 3 · 17107 · 145056496257758898783040947067369_<33>

(67·10³⁷+41)/9 =: 74444444444444444444444444444444444449_<38>; = 29 · 27371572237_<11> · 93785252312216995646100713_<26>

(67·10³⁸+41)/9 =: 744444444444444444444444444444444444449_<39>; = 7 · 53 · 233 · 4517 · 74977979 · 522896893 · 48629810894057_<14>

(67·10³⁹+41)/9 =: 7444444444444444444444444444444444444449_<40>; = 3 · 13 · 379 · 8563607842816919_<16> · 58812779544685423891_<20>

(67·10⁴⁰+41)/9 =: 74444444444444444444444444444444444444449_<41>; = 23 · 79 · 491 · 1699 · 49113682115168732008091826296233_<32>

(67·10⁴¹+41)/9 =: 744444444444444444444444444444444444444449_<42>; = 17 · 83003 · 48665209 · 10841041066122199868601394811_<29>

(67·10⁴²+41)/9 =: 7444444444444444444444444444444444444444449_<43>; = 3² · 269 · 698105445211873_<15> · 4404701459925841176487453_<25>

(67·10⁴³+41)/9 =: 74444444444444444444444444444444444444444449_<44>; = 433 · 68597029 · 101182262477_<12> · 24770496079409979685841_<23>

(67·10⁴⁴+41)/9 =: 744444444444444444444444444444444444444444449_<45>; = 7 · 64217967427_<11> · 1656066216516416266398459181946141_<34>

(67·10⁴⁵+41)/9 =: 7444444444444444444444444444444444444444444449_<46>; = 3 · 13 · 8789099699_<10> · 21718173353399217503959183485784109_<35>

(67·10⁴⁶+41)/9 =: 74444444444444444444444444444444444444444444449_<47>; = 243988123 · 989416127279_<12> · 308378876780473274674659197_<27>

(67·10⁴⁷+41)/9 =: 744444444444444444444444444444444444444444444449_<48>; = 51204611807_<11> · 1091012738059_<13> · 13325803165694547796794973_<26>

(67·10⁴⁸+41)/9 =: 7444444444444444444444444444444444444444444444449_<49>; = 3 · 1234105844153219502116243_<25> · 2010752556790740694240681_<25>

(67·10⁴⁹+41)/9 =: 74444444444444444444444444444444444444444444444449_<50>; = 19 · 3918128654970760233918128654970760233918128654971_<49>

(67·10⁵⁰+41)/9 =: 744444444444444444444444444444444444444444444444449_<51>; = 7 · 3847 · 5521 · 118863181 · 136990843537_<12> · 255227130287_<12> · 1204837826299_<13>

(67·10⁵¹+41)/9 =: 7(4)₅₀9_<52>; = 3⁴ · 13 · 53 · 9582841 · 205860057678361_<15> · 67617900188980636437969361_<26>

(67·10⁵²+41)/9 =: 7(4)₅₁9_<53>; = 109 · 682976554536187563710499490316004077471967380224261_<51>

(67·10⁵³+41)/9 =: 7(4)₅₂9_<54>; = 79 · 167 · 1787 · 3539 · 8922439578983278343403815562285377972983801_<43>

(67·10⁵⁴+41)/9 =: 7(4)₅₃9_<55>; = 3 · 83 · 163 · 2659 · 7741 · 2604299 · 159481145724011_<15> · 21455060612361554590397_<23>

(67·10⁵⁵+41)/9 =: 7(4)₅₄9_<56>; = 107 · 647 · 71909 · 790861 · 28971317106307817_<17> · 652668400288287893995357_<24>

(67·10⁵⁶+41)/9 =: 7(4)₅₅9_<57>; = 7 · 809246407 · 131417582369576525294784789015697599762527220401_<48>

(67·10⁵⁷+41)/9 =: 7(4)₅₆9_<58>; = 3 · 13 · 17 · 761 · 238267 · 232701014135884831_<18> · 266116581185919112615243407059_<30>

(67·10⁵⁸+41)/9 =: 7(4)₅₇9_<59>; = 5849 · 98798570369_<11> · 3606839927559371664311_<22> · 35716849427814561330239_<23>

(67·10⁵⁹+41)/9 =: 7(4)₅₈9_<60>; = 263 · 2237189 · 187613233 · 6743888823317216994429430971916322272770779_<43>

(67·10⁶⁰+41)/9 =: 7(4)₅₉9_<61>; = 3² · 1381 · 598957634921912015805329828984185730504822949911050321381_<57>

(67·10⁶¹+41)/9 =: 7(4)₆₀9_<62>; = 14676340874891_<14> · 5072411787042070684340931141600893481487696900739_<49>

(67·10⁶²+41)/9 =: 7(4)₆₁9_<63>; = 7² · 23 · 3851 · 1397857099_<10> · 801050465951_<12> · 153183576406758456544528003692584113_<36>

(67·10⁶³+41)/9 =: 7(4)₆₂9_<64>; = 3 · 13 · 47 · 2568823 · 40746647951_<11> · 863137188100601_<15> · 44953543570599643258279089161_<29>

(67·10⁶⁴+41)/9 =: 7(4)₆₃9_<65>; = 53 · 10513 · 4212029 · 31720381840686866731138567840011002392484631441756529_<53>

(67·10⁶⁵+41)/9 =: 7(4)₆₄9_<66>; = 29 · 241 · 36587 · 1567985291_<10> · 25865568457_<11> · 29989000371563461_<17> · 2393670960101985133249_<22>

(67·10⁶⁶+41)/9 =: 7(4)₆₅9_<67>; = 3 · 79 · 26309 · 12738419 · 93726861882659525652441174421657290467145917267617787_<53>

(67·10⁶⁷+41)/9 =: 7(4)₆₆9_<68>; = 19 · 587 · 2984621 · 1160476781_<10> · 1927147452393310261623792452241069430674102513833_<49>

(67·10⁶⁸+41)/9 =: 7(4)₆₇9_<69>; = 7 · 97 · 610921 · 906469321 · 8136034867477740331093_<22> · 243338907383764572908819482187_<30>

(67·10⁶⁹+41)/9 =: 7(4)₆₈9_<70>; = 3² · 13 · 523526488031_<12> · 121536792787128892105315470951170251894000542883100394787_<57>

(67·10⁷⁰+41)/9 =: 7(4)₆₉9_<71>; = 787333 · 94552679037261799574569393692941162690303142945163538737033052653_<65>

(67·10⁷¹+41)/9 =: 7(4)₇₀9_<72>; = 541 · 14184199 · 9351204664666786455419722894331_<31> · 10374391911611334331729652341081_<32>

(67·10⁷²+41)/9 =: 7(4)₇₁9_<73>; = 3 · 59 · 112294373 · 374542437319660495876434035112682531097548659002585345970727069_<63>

(67·10⁷³+41)/9 =: 7(4)₇₂9_<74>; = 17² · 44534639 · 522942931401786965517727_<24> · 11060689917850786042009539548850543751697_<41>

(67·10⁷⁴+41)/9 =: 7(4)₇₃9_<75>; = 7 · 124133011 · 26244260551_<11> · 32644695548106754576839802543861057137071216789181266987_<56>

(67·10⁷⁵+41)/9 =: 7(4)₇₄9_<76>; = 3 · 13³ · 97829 · 6092229887_<10> · 68382617123_<11> · 27713499316808102421422261949369996833941566991_<47>

(67·10⁷⁶+41)/9 =: 7(4)₇₅9_<77>; = 16057 · 7284623 · 28894518026116116883_<20> · 22026492752161435721132778059909048972825125373_<47>

(67·10⁷⁷+41)/9 =: 7(4)₇₆9_<78>; = 53 · 1471 · 32467717 · 26187339043_<11> · 263860945841_<12> · 356598014066911_<15> · 119356642334017336498771861283_<30>

(67·10⁷⁸+41)/9 =: 7(4)₇₇9_<79>; = 3³ · 1697793360840972535119842957_<28> · 162399129934446374522373375241913505501437802196991_<51>

(67·10⁷⁹+41)/9 =: 7(4)₇₈9_<80>; = 61 · 79 · 547 · 18493 · 49333 · 4332081520664910296334881_<25> · 7145728712258019338701711294336977240137_<40>

(67·10⁸⁰+41)/9 =: 7(4)₇₉9_<81>; = 7 · 131 · 523 · 2521501 · 83057051071965828700663_<23> · 7411832847606359669845961434930571699233121653_<46>

(67·10⁸¹+41)/9 =: 7(4)₈₀9_<82>; = 3 · 13 · 587613571 · 96554819629_<11> · 17820363301684253_<17> · 188792769899508435726657904098505355940160133_<45>

(67·10⁸²+41)/9 =: 7(4)₈₁9_<83>; = definitely prime number

(67·10⁸³+41)/9 =: 7(4)₈₂9_<84>; = 181 · 653 · 11556481397311_<14> · 545023103739923861867994425445761826684416355884016214145687242063_<66>

(67·10⁸⁴+41)/9 =: 7(4)₈₃9_<85>; = 3 · 23 · 571699 · 4468883 · 19026031 · 35587351039_<11> · 500840882951_<12> · 2618294769281249_<16> · 47561398096764213767527043_<26>

(67·10⁸⁵+41)/9 =: 7(4)₈₄9_<86>; = 19² · 251 · 6671388247_<10> · 2075695463107789170945344843_<28> · 59329613380391051253123824978697334309017079_<44>

(67·10⁸⁶+41)/9 =: 7(4)₈₅9_<87>; = 7 · 8627 · 137490226774839088395640392468407017_<36> · 89660803587504620436081077719825445417344467973_<47> (Makoto Kamada / GGNFS-0.70.3 / 0.19 hours)

(67·10⁸⁷+41)/9 =: 7(4)₈₆9_<88>; = 3² · 13 · 311 · 5827 · 46301 · 4852409 · 4828152293_<10> · 32367733780780344373906576035261260579830490554429547982673_<59>

(67·10⁸⁸+41)/9 =: 7(4)₈₇9_<89>; = 223 · 67153 · 5647633 · 14511465748101479_<17> · 42888746255985449_<17> · 1414297949865669188428159705831336141771297_<43>

(67·10⁸⁹+41)/9 =: 7(4)₈₈9_<90>; = 17 · 467 · 32119 · 46187 · 140177 · 56382164933_<11> · 7997720319598605826873087394927475224345128814417590068045067_<61>

(67·10⁹⁰+41)/9 =: 7(4)₈₉9_<91>; = 3 · 53 · 349 · 11677 · 11488900329124293932504095750526992042753165347526649465865770897753730213029420807_<83>

(67·10⁹¹+41)/9 =: 7(4)₉₀9_<92>; = 6263 · 1445261 · 8224388138382310650623514414140052641384765178006446654898587801283110133546048643_<82>

(67·10⁹²+41)/9 =: 7(4)₉₁9_<93>; = 7 · 79 · 525884554453371885709809407_<27> · 2559863137323523262062364403750361833963238394284691425661138119_<64>

(67·10⁹³+41)/9 =: 7(4)₉₂9_<94>; = 3 · 13 · 29 · 5479 · 214091 · 400417 · 14013850163360821029909246143989557001003096435186516324362810485192814107183_<77>

(67·10⁹⁴+41)/9 =: 7(4)₉₃9_<95>; = 24445085016790049_<17> · 3045374740701963332289341014731719142289305117620537598607035105727388277625601_<79>

(67·10⁹⁵+41)/9 =: 7(4)₉₄9_<96>; = 83 · 241 · 2399 · 8465683 · 1330773163_<10> · 1377021984993771918662434422900630295016475518421245773790432952538800773_<73>

(67·10⁹⁶+41)/9 =: 7(4)₉₅9_<97>; = 3² · 14641157 · 8242462997656467528293910218915346015724427_<43> · 6854209585111930069596096248752700536261042799_<46> (Makoto Kamada / GGNFS-0.71.3 / 0.40 hours)

(67·10⁹⁷+41)/9 =: 7(4)₉₆9_<98>; = 3323 · 8513 · 41999 · 663601 · 20142313 · 507441783434280764230568607400037_<33> · 9237996039896547517742949410322379050529_<40> (Makoto Kamada / msieve 0.83)

(67·10⁹⁸+41)/9 =: 7(4)₉₇9_<99>; = 7 · 191 · 41513 · 638269 · 1234367 · 5636359 · 154565799386707_<15> · 19541444373739646043162893481385756773327456285719238621871_<59>

(67·10⁹⁹+41)/9 =: 7(4)₉₈9_<100>; = 3 · 13 · 509 · 6823 · 122267 · 10866372010009_<14> · 1640519543428439_<16> · 13326766701951253_<17> · 1892232527761256339515825845641462882525213_<43>

(67·10¹⁰⁰+41)/9 =: 7(4)₉₉9_<101>; = 334963586519497249_<18> · 222246379727341650730599375678940900334513195374859820413450087613472950252079852801_<84>

(67·10¹⁰¹+41)/9 =: 7(4)₁₀₀9_<102>; = 277 · 13471331 · 154010847442791589809283_<24> · 907860203419637018663973112853_<30> · 1426828342196180533572626700659381193473_<40> (Lionel Debroux / GMP-ECM 6.2.3 B1=1e6, sigma=2612920715 for P30 / Oct 31, 2009)

(67·10¹⁰²+41)/9 =: 7(4)₁₀₁9_<103>; = 3 · 2140627 · 5979131 · 48424161415995800620860749_<26> · 4003776833237099900100466512551080862659630258631990788470979991_<64>

(67·10¹⁰³+41)/9 =: 7(4)₁₀₂9_<104>; = 19 · 53 · 113 · 2736049 · 173935700219_<12> · 1374712173274455920952279588907888077964052451679403831966675411796852021052470269_<82>

(67·10¹⁰⁴+41)/9 =: 7(4)₁₀₃9_<105>; = 7² · 8677 · 386165004928233317676708760481_<30> · 4534127216695181047132731334402401495791222239561382135000425713957373_<70> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs / 0.22 hours on Core 2 Quad Q6700 / Nov 3, 2009)

(67·10¹⁰⁵+41)/9 =: 7(4)₁₀₄9_<106>; = 3³ · 13 · 17 · 79 · 15792437402431611085536790840009173756174666243335061073126763537949109224032695530999493934879059393_<101>

(67·10¹⁰⁶+41)/9 =: 7(4)₁₀₅9_<107>; = 23 · 3236714975845410628019323671497584541062801932367149758454106280193236714975845410628019323671497584541063_<106>

(67·10¹⁰⁷+41)/9 =: 7(4)₁₀₆9_<108>; = 1373 · 542202800032370316419843003965363761430767985757060775269078255239944970462086266893258881605567694424213_<105>

(67·10¹⁰⁸+41)/9 =: 7(4)₁₀₇9_<109>; = 3 · 107 · 193441 · 119888832847122382336263629344999225366042034574404100295425946315079744978701829367059128487025529409_<102>

(67·10¹⁰⁹+41)/9 =: 7(4)₁₀₈9_<110>; = 47 · 557267357 · 673844893373_<12> · 20014596735941_<14> · 210748283231340466369189839447879002512930865856263445373449292479392447467_<75>

(67·10¹¹⁰+41)/9 =: 7(4)₁₀₉9_<111>; = 7 · 617 · 2729 · 32823866380212278771_<20> · 1341270913541941782779_<22> · 1434628026439911426397910166157806582985840009207775227399436711_<64>

(67·10¹¹¹+41)/9 =: 7(4)₁₁₀9_<112>; = 3 · 13 · 1281409943486471_<16> · 148963406951435295400865725367823474821806293150600247805020768231415717248401400532634859906321_<96>

(67·10¹¹²+41)/9 =: 7(4)₁₁₁9_<113>; = 14767 · 16273 · 523946389 · 2480707753_<10> · 246246382367_<12> · 65371949394506649187_<20> · 14806371559538299196879476237331304345858126459111954023_<56>

(67·10¹¹³+41)/9 =: 7(4)₁₁₂9_<114>; = 6906511 · 105421943647_<12> · 869590929989825884177330375669983213482524877_<45> · 1175784051662201321889393008064659953020649677298261_<52> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs / 0.79 hours on Core 2 Quad Q6700 / Nov 3, 2009)

(67·10¹¹⁴+41)/9 =: 7(4)₁₁₃9_<115>; = 3² · 2122909381_<10> · 210457647773_<12> · 149301337254805036369_<21> · 2185900500133047059633_<22> · 5672826857558285029828159026087321005542023744689161_<52>

(67·10¹¹⁵+41)/9 =: 7(4)₁₁₄9_<116>; = 75238973175295618288828136185615790213603981_<44> · 989439931230852392677882277821169072176642871144176663604322784136109029_<72> (Dmitry Domanov / GGNFS/msieve snfs / 0.85 hours / Nov 4, 2009)

(67·10¹¹⁶+41)/9 =: 7(4)₁₁₅9_<117>; = 7 · 53 · 20611 · 1284212595713927546831_<22> · 2485548669993843216379_<22> · 30500019961143054511234634317386133207699867601439418546557841089221_<68>

(67·10¹¹⁷+41)/9 =: 7(4)₁₁₆9_<118>; = 3 · 13 · 8994859 · 8041753613_<10> · 611204425513477_<15> · 36495900240145138786271_<23> · 118301974312245946261522295833076885458936144138968700242868219_<63>

(67·10¹¹⁸+41)/9 =: 7(4)₁₁₇9_<119>; = 79 · 307 · 14737 · 394121494818965174452737614446926695666843079535589_<51> · 528478862616451509745863971040078685044093400122478146340481_<60> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon, Msieve 1.43 snfs / 1.55 hours, 0.05 hours / Nov 4, 2009)

(67·10¹¹⁹+41)/9 =: 7(4)₁₁₈9_<120>; = 811 · 853 · 1039 · 333881591 · 727595767725356441642506603221253749877381111_<45> · 4263479919140776269933631073169481493401714827270904579177_<58> (Erik Branger / GGNFS, Msieve snfs / 1.69 hours / Nov 4, 2009)

(67·10¹²⁰+41)/9 =: 7(4)₁₁₉9_<121>; = 3 · 10878293325400967777_<20> · 38149372465301295430054963118277813058918169_<44> · 5979472529270312373079165688301574540864076057469555901091_<58> (Serge Batalov / Msieve 1.44 snfs / 0.92 hours / Nov 5, 2009)

(67·10¹²¹+41)/9 =: 7(4)₁₂₀9_<122>; = 17 · 19 · 29 · 17789 · 446766126635310472754732270674228704809388742407278859901015550550561333731904730761638284104750634462411957741523_<114>

(67·10¹²²+41)/9 =: 7(4)₁₂₁9_<123>; = 7 · 6101 · 1433828959_<10> · 799833486774886669446684467145607740034837573_<45> · 15199744852895041003829511211189301714478486024060607047766140001_<65> (Dmitry Domanov / GGNFS/msieve snfs / 2.10 hours / Nov 4, 2009)

(67·10¹²³+41)/9 =: 7(4)₁₂₂9_<124>; = 3² · 13 · 13691 · 45297512682075520808171_<23> · 102597530091904960029500817004086000998692685994705133958793856568098635852491639218487949129077_<96>

(67·10¹²⁴+41)/9 =: 7(4)₁₂₃9_<125>; = 809 · 12319484933640341_<17> · 7469494656136128498758464252228701776599370074529702749051978602380786453413755803188328605329997223084821_<106>

(67·10¹²⁵+41)/9 =: 7(4)₁₂₄9_<126>; = 241 · 3088981097279852466574458275703088981097279852466574458275703088981097279852466574458275703088981097279852466574458275703089_<124>

(67·10¹²⁶+41)/9 =: 7(4)₁₂₅9_<127>; = 3 · 991 · 39839 · 8947111 · 84197573 · 1538818283_<10> · 22931592092796449093475889_<26> · 2364422107680074570374630831982658164300638730230131806948512611535547_<70>

(67·10¹²⁷+41)/9 =: 7(4)₁₂₆9_<128>; = 392713710017_<12> · 588230758981_<12> · 11254074352552337_<17> · 28635101027001905101609329864231907297542108589405083891391687148258312703954026255036701_<89>

(67·10¹²⁸+41)/9 =: 7(4)₁₂₇9_<129>; = 7 · 23² · 850211 · 156528760163174468436985270573_<30> · 9280978564452803005420807952719117_<34> · 162766095942852035592368755877316356049781939213380763333_<57> (Lionel Debroux / GMP-ECM 6.2.3 B1=1e6, sigma=3269135775 for P30 / Oct 31, 2009) (Jo Yeong Uk / YAFU v1.10, Msieve 1.38 for P34 x P57 / Nov 4, 2009)

(67·10¹²⁹+41)/9 =: 7(4)₁₂₈9_<130>; = 3 · 13 · 53 · 12241 · 31174567399065703189714283064966059346296400375499_<50> · 9437880695028528118480341072386914262636733329993003874835658761941901633_<73> (Dmitry Domanov / GGNFS/msieve snfs / 2.51 hours / Nov 4, 2009)

(67·10¹³⁰+41)/9 =: 7(4)₁₂₉9_<131>; = 59 · 397753 · 60576389611_<11> · 214472423606069_<15> · 5634613416893188842281_<22> · 43333907064700190973048742061918333233576080313763959644894291523820485716053_<77>

(67·10¹³¹+41)/9 =: 7(4)₁₃₀9_<132>; = 79 · 18493896401067727171723339878571_<32> · 4525308800973640811158291449529412591_<37> · 112597451591228804139139623565260342727756344221799002605550371_<63> (Lionel Debroux / GMP-ECM 6.2.3 B1=1e6, sigma=624830447 for P32 / Oct 31, 2009) (Sinkiti Sibata / Msieve 1.40 snfs / 3.42 hours / Nov 4, 2009)

(67·10¹³²+41)/9 =: 7(4)₁₃₁9_<133>; = 3⁵ · 2557 · 551497031418873517_<18> · 441281207091754054279_<21> · 49230775851639356382217201347956816174560584318458018470541678661530105763919726960533493_<89>

(67·10¹³³+41)/9 =: 7(4)₁₃₂9_<134>; = 353081 · 7404732168439_<13> · 949521322502583250865947_<24> · 206990362108995995540706786083800799_<36> · 144875098665335013194730379024627109574296907971431258387_<57> (Dmitry Domanov / msieve 1.43 for P36 x P57 / 1.72 hours / Nov 5, 2009)

(67·10¹³⁴+41)/9 =: 7(4)₁₃₃9_<135>; = 7 · 177113 · 786697 · 4615703 · 76417909 · 2602323029_<10> · 3339411676328308715399_<22> · 249007339060523743154953044628347703547008542339656212942194219797492786542511_<78>

(67·10¹³⁵+41)/9 =: 7(4)₁₃₄9_<136>; = 3 · 13 · 163 · 251 · 189043 · 71240130359442359976794234666514935013351341284492389997_<56> · 346434435442088830363099162339575704342482076530326806769161585968817_<69> (Sinkiti Sibata / Msieve 1.40 snfs / 4.73 hours / Nov 6, 2009)

(67·10¹³⁶+41)/9 =: 7(4)₁₃₅9_<137>; = 83 · 104123 · 199687 · 293603 · 23749906637588009_<17> · 6792338588992076599_<19> · 1825280811460616066938497827_<28> · 498983661337119258128186618681117930148191733280688443793_<57>

(67·10¹³⁷+41)/9 =: 7(4)₁₃₆9_<138>; = 17 · 283 · 33889 · 41025419 · 4324111050434813657_<19> · 486098634615305063069642497_<27> · 52949750399644915395485800034238458485860782132043308222640318845260352039281_<77>

(67·10¹³⁸+41)/9 =: 7(4)₁₃₇9_<139>; = 3 · 805521198647303_<15> · 3080591157189392281715367457468548183582026399514175227200857989572962798996301451526516578405442187667795599188631640132061_<124>

(67·10¹³⁹+41)/9 =: 7(4)₁₃₈9_<140>; = 19 · 61 · 786547 · 1674291299_<10> · 534377673459567913254367877976611999_<36> · 91273531275261258156042651910406956385468817913185449840182337837085448090326006202513_<86> (Jo Yeong Uk / GMP-ECM 6.2.3 B1=1000000, sigma=4575964169 for P36 / Nov 4, 2009)

(67·10¹⁴⁰+41)/9 =: 7(4)₁₃₉9_<141>; = 7 · 3371 · 191509589725032360358047867623_<30> · 164734656570897235288033852810835623477513274568840397755400314955254385028426104714427625363827448134452979_<108> (Sinkiti Sibata / Msieve 1.40 snfs / 7.22 hours / Nov 6, 2009)

(67·10¹⁴¹+41)/9 =: 7(4)₁₄₀9_<142>; = 3² · 13 · 104293407448198211674022417719_<30> · 266908416852904564619693685732080119715284043_<45> · 2285742510120211041888511644779295382229835659384985236947755209441_<67> (Dmitry Domanov / GGNFS/msieve snfs / 6.69 hours / Nov 5, 2009)

(67·10¹⁴²+41)/9 =: 7(4)₁₄₁9_<143>; = 53 · 179 · 78816360949_<11> · 5118133093176327142512580486229_<31> · 27674980031210292772854978064813_<32> · 702891226094754909284926680011670954449302856594259786842594019299_<66> (Jo Yeong Uk / GMP-ECM v6.2.3 B1=1000000, sigma=1716764280 for P31, GGNFS/Msieve v1.39 gnfs for P32 x P66 / 1.87 hours on Core 2 Quad Q6700 / Nov 4, 2009)

(67·10¹⁴³+41)/9 =: 7(4)₁₄₂9_<144>; = 4294195837_<10> · 188288661700790464271_<21> · 88354694152310037310993_<23> · 14227873248268021182854161_<26> · 732414042966291111766142997033775558181181875175496579039681581019_<66>

(67·10¹⁴⁴+41)/9 =: 7(4)₁₄₃9_<145>; = 3 · 79 · 25803630551_<11> · 2084763626306649558391910071_<28> · 423626916383930124653960797887297047400541_<42> · 1378360327126022364048330167071772464929240931307881983759154457_<64> (Sinkiti Sibata / Msieve 1.40 snfs / 15.07 hours / Nov 6, 2009)

(67·10¹⁴⁵+41)/9 =: 7(4)₁₄₄9_<146>; = 563 · 6082655084179705302299740326973200613_<37> · 75145263081390269628363377895509391047_<38> · 289287120475685604509159180322914778804255865863282240870880979061193_<69> (Erik Branger / GGNFS, Msieve snfs / 9.60 hours / Nov 5, 2009)

(67·10¹⁴⁶+41)/9 =: 7(4)₁₄₅9_<147>; = 7³ · 2579 · 137933 · 552752232810877924907944618081429138807679_<42> · 11037942908547355150244790836990039717387364320115120207780436833145912926736258397877527823631_<95> (Markus Tervooren / Msieve 1.43 for P42 x P95 / 5 hours / Nov 6, 2009)

(67·10¹⁴⁷+41)/9 =: 7(4)₁₄₆9_<148>; = 3 · 13 · 16831 · 206571019 · 2842724994965860804275367_<25> · 19313168353941831714973460127426922187193256830868010135586119518655665426413289331640240532188015009493183757_<110>

(67·10¹⁴⁸+41)/9 =: 7(4)₁₄₇9_<149>; = 431 · 2777 · 1654038959_<10> · 66423885611311_<14> · 566120826038695069709743628706940589497398861889409822578011519748275621457812177467517223257568499519198973952003045223_<120>

(67·10¹⁴⁹+41)/9 =: 7(4)₁₄₈9_<150>; = 29 · 967 · 10301 · 164117 · 63136961 · 75921228000284137_<17> · 658356174664422161569086775878853672793637262114046597_<54> · 4975847405368765597872979135265543799568390928601303262351_<58> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs / 9.16 hours on Core 2 Quad Q6700 / Nov 7, 2009)

(67·10¹⁵⁰+41)/9 =: 7(4)₁₄₉9_<151>; = 3² · 23 · 198148463 · 20717939788962621561499247182422137_<35> · 8760414861837486390460724581872136579955758254687113253234500957057212238208046927618976198274194583616297_<106> (Sinkiti Sibata / Msieve 1.40 snfs / 17.61 hours / Nov 5, 2009)

(67·10¹⁵¹+41)/9 =: 7(4)₁₅₀9_<152>; = 3346217301517491541913_<22> · 22247343115070348072520208822185619928213640643386712074207570851008338064634836453664308118626609437054618889782559521221091049673_<131>

(67·10¹⁵²+41)/9 =: 7(4)₁₅₁9_<153>; = 7 · 463 · 5434306949_<10> · 96545414201370517_<17> · 1680074337277980218121405618871_<31> · 260584721488930637582985571915016714812501113529823203618634355867000690463881582151385770423_<93> (Lionel Debroux / GMP-ECM 6.2.3 B1=1e6, sigma=157691952 for P31 / Oct 31, 2009)

(67·10¹⁵³+41)/9 =: 7(4)₁₅₂9_<154>; = 3 · 13² · 17 · 1823 · 118343 · 155277837006407_<15> · 376755357494683_<15> · 5992271444349738659183_<22> · 2121230207913417926912641_<25> · 5383912319094485278523849539093304325210557311142265235783861942073_<67>

(67·10¹⁵⁴+41)/9 =: 7(4)₁₅₃9_<155>; = 11800182871_<11> · 524297866455971_<15> · 13258140745590103120897332331500375538360937115782994093187_<59> · 907575659674699981238661788307594336802623003262472252087994176094758447_<72> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs / 14.37 hours on Core 2 Quad Q6700 / Nov 10, 2009)

(67·10¹⁵⁵+41)/9 =: 7(4)₁₅₄9_<156>; = 47 · 53 · 241 · 302983 · 14851037 · 252442321 · 79435952371_<11> · 96107273394271_<14> · 513981777262743485425131597124856197_<36> · 278216723864481525034470316274854133774845275372355082172887637024697_<69> (Jo Yeong Uk / GGNFS/Msieve v1.39 gnfs for P36 x P69 / 4.48 hours on Core 2 Quad Q6700 / Nov 5, 2009)

(67·10¹⁵⁶+41)/9 =: 7(4)₁₅₅9_<157>; = 3 · 49722859553004683571304633082687_<32> · 977449831415406822625837597217701697963_<39> · 51057608111162517212283211587392025819225649128369502205593083124860984531588715088543_<86> (Lionel Debroux / GMP-ECM 6.2.3 B1=1e6, sigma=3499375630 for P32 / Oct 31, 2009) (Jo Yeong Uk / GMP-ECM 6.2.3 B1=1000000, sigma=4701809730 for P39 / Nov 11, 2009)

(67·10¹⁵⁷+41)/9 =: 7(4)₁₅₆9_<158>; = 19 · 79 · 569 · 13280256271_<11> · 679103402368889_<15> · 396291799469414089_<18> · 896016956955767255596724244933401_<33> · 13950563607253532674032704293646041067_<38> · 1951074733192853860565440794148429905793_<40> (Jo Yeong Uk / GMP-ECM v6.2.3/YAFU v1.10 B1=1000000, sigma=5977138773 for P33, Msieve 1.38 for P38 x P40 / Nov 5, 2009)

(67·10¹⁵⁸+41)/9 =: 7(4)₁₅₇9_<159>; = 7 · 152622098076403_<15> · 262587046642303399_<18> · 912557941884705694004123_<24> · 5385473710134645970279164609493_<31> · 539957000236247333828211967864135762339023186452684462370559591738730029_<72> (Lionel Debroux / GMP-ECM 6.2.3 B1=1e6, sigma=664302332 for P31 / Oct 31, 2009)

(67·10¹⁵⁹+41)/9 =: 7(4)₁₅₈9_<160>; = 3³ · 13 · 36131 · 239179 · 74000904626887367615975579639_<29> · 33165390903358390799645073603216337412161935203367556621777796559724135244754305926590489314852834945647853625900511609_<119>

(67·10¹⁶⁰+41)/9 =: 7(4)₁₅₉9_<161>; = 109 · 66347 · 90637257619_<11> · 58054843192433_<14> · 6458162601207874684709389465413979594157825818758560151613079_<61> · 302921652034106781572164003165353167420092868163923517757663653696611_<69> (Sinkiti Sibata / Msieve 1.40 snfs / 27.61 hours / Nov 21, 2009)

(67·10¹⁶¹+41)/9 =: 7(4)₁₆₀9_<162>; = 107 · 3701 · 610339 · 33303780809228167275307_<23> · 75535187214103326538317201830040895523_<38> · 1224377835729844775852488587301078768602817876340329293496172248138770697175289478200468733_<91> (Markus Tervooren / Msieve 1.43 for P38 x P91 / ~50 Core2 2,66Ghz-hours., 0.58 hours / Nov 20, 2009)

(67·10¹⁶²+41)/9 =: 7(4)₁₆₁9_<163>; = 3 · 2481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481483_<163>

(67·10¹⁶³+41)/9 =: 7(4)₁₆₂9_<164>; = 2113 · 317123640791_<12> · 111097472156752928303593177579106108419265361114843992236235295617572614606734059653585052992709817142527165152009481777096565112160470165467777604103_<150>

(67·10¹⁶⁴+41)/9 =: 7(4)₁₆₃9_<165>; = 7 · 97 · 461 · 10965272962460119234911069404341287975741259_<44> · 216891307273720750758081653250952572647618179283737370490732853103987208380893592346709082214421115917317056152162969_<117> (Ignacio Santos / GGNFS, Msieve snfs / 44.81 hours / Nov 12, 2009)

(67·10¹⁶⁵+41)/9 =: 7(4)₁₆₄9_<166>; = 3 · 13 · 389219 · 445770167 · 1100177233414670248297972759353954075481249823101592789501654172618507740188839645665408962958471653927427075386616352943756984242260666908812130246667_<151>

(67·10¹⁶⁶+41)/9 =: 7(4)₁₆₅9_<167>; = 2338783 · 1853478760675094510249_<22> · 44552161598882832719854919_<26> · 216547826143919667136574186836686551_<36> · 1780049759014661388735316521366023898941895276315195006513468699712016217408263_<79> (Lionel Debroux / GMP-ECM 6.2.3 B1=1e6, sigma=3888992393 for P36 / Oct 31, 2009)

(67·10¹⁶⁷+41)/9 =: 7(4)₁₆₆9_<168>; = 12007 · 2883731174759_<13> · 9099568540339976268577524952845344061739489817_<46> · 98953310001994328393191015800849486407545328609_<47> · 23877666584598768009724339692120824825964814162219197525241_<59> (Sinkiti Sibata / Msieve 1.40 snfs / 70.12 hours on Core i7 2.93GHz,Windows 7 64bit,and Cygwin / Dec 15, 2009)

(67·10¹⁶⁸+41)/9 =: 7(4)₁₆₇9_<169>; = 3² · 53 · 1279 · 547823 · 1411382351_<10> · 1155335485757_<13> · 13659987839329698005660466139164585699210677654844908806941850842677821987771673419763674834548318965334592030392134851892350930765295623_<137>

(67·10¹⁶⁹+41)/9 =: 7(4)₁₆₈9_<170>; = 17 · 7901 · 127913 · 474916888261_<12> · 496460515703585647_<18> · 1479713783504047458839983386077_<31> · 12419570537733116577822354840436511008317867368143876028617340064217719195650259285387768289687278691_<101> (Lionel Debroux / GMP-ECM 6.2.3 B1=1e6, sigma=766420796 for P31 / Oct 31, 2009)

(67·10¹⁷⁰+41)/9 =: 7(4)₁₆₉9_<171>; = 7 · 79² · 277 · 547 · 1061 · 1222943 · 86674506150967298267437449356861819051098429244334776429542615348317044188867133047652338313947604962873788545627006122765932994098120236485095558248171_<152>

(67·10¹⁷¹+41)/9 =: 7(4)₁₇₀9_<172>; = 3 · 13 · 359 · 46635776947037910640447171_<26> · 393709281981091427546109643615725703166194511_<45> · 28958653701298396617102716781367774305361510966912757637438904261283423247406078729979338914793429_<98> (Sinkiti Sibata / Msieve 1.40 snfs / Apr 26, 2010)

(67·10¹⁷²+41)/9 =: 7(4)₁₇₁9_<173>; = 23 · 416167 · 49655940167_<11> · 23207019892740107189_<20> · 7748540997560016413746956086933530711066410398243_<49> · 871016332526758102601491761865579110057845553254870898326576925805770744541460640073321_<87> (Bryan Koen / GGNFS, Msieve 1.48 snfs / Jun 17, 2011)

(67·10¹⁷³+41)/9 =: 7(4)₁₇₂9_<174>; = 1009 · 16069 · 4158403 · 34681199832593956857553321_<26> · 508859811837407717089412470611321027235247810485530901175897_<60> · 625652859563131652848139201280984280614655042817274560079985512043889252479_<75> (Sinkiti Sibata / Msieve 1.40 snfs / Mar 7, 2010)

(67·10¹⁷⁴+41)/9 =: 7(4)₁₇₃9_<175>; = 3 · 3917 · 30303100313_<11> · 20905973882831555241160250583975443098185167521177846298863496551150792455122765584338323446206099879693605560726706740204368345865388815095463215922930398723023_<161>

(67·10¹⁷⁵+41)/9 =: 7(4)₁₇₄9_<176>; = 19 · 919 · 187531 · 224443 · 199432258679_<12> · 9291043052922341052559127_<25> · 43208202561931514058707550356766348076225213528987_<50> · 1265196453060882384088604849566593098669143344533647315649638394755738720063_<76> (Warut Roonguthai / Msieve 1.47 gnfs for P50 x P76 / Sep 18, 2011)

(67·10¹⁷⁶+41)/9 =: 7(4)₁₇₅9_<177>; = 7 · 381496638149806557062385644326745051_<36> · 803770627877673149683896774769690484334047_<42> · 2540492572298568949029546317256747678065197_<43> · 136519118946285151795581433335283513926057235634807181623_<57> (Sinkiti Sibata / Msieve 1.40 snfs / 151.29 hours / Nov 17, 2009)

(67·10¹⁷⁷+41)/9 =: 7(4)₁₇₆9_<178>; = 3² · 13 · 29 · 83 · 4273 · 5393 · 5722060324567079183_<19> · 151018584602920158933747156833_<30> · 22758430372083446855719889404943_<32> · 58328645933672237511735506021370981038299449338001585648578106455857959995279721987707_<86> (Lionel Debroux / GMP-ECM 6.2.3 B1=1e6, sigma=1352973376 for P30 / Oct 31, 2009) (Erik Branger / GMP-ECM B1=3000000, sigma=3389415600 for P32 / Nov 11, 2009)

(67·10¹⁷⁸+41)/9 =: 7(4)₁₇₇9_<179>; = 929 · 80133955268508551608659251285731371845473029541920822868077981102738906829326635569907905752900370769046764741059681856237292189929434278196387991867001554837938045688314794881_<176>

(67·10¹⁷⁹+41)/9 =: 7(4)₁₇₈9_<180>; = 149 · 5323 · 6883 · 458333 · 8919897201656663_<16> · 8831116031897972572147519_<25> · 1012544678533012451313564305289415831291_<40> · 3730276511654178526019785130871777978504206319455762473797164409516529593402292728379_<85> (Dmitry Domanov / GGNFS/msieve for P40 x P85 / Apr 14, 2010)

(67·10¹⁸⁰+41)/9 =: 7(4)₁₇₉9_<181>; = 3 · 6143 · 16602103163_<11> · 2182728516202327_<16> · 178357640554508817216078594799956611_<36> · 6162611459066359043085797804522505149_<37> · 10141709981343978502981072303095077611806193928602101568704733018991943854910079_<80> (Ignacio Santos / GMP-ECM 6.3 B1=1000000, sigma=736929592 for P36 / May 24, 2011) (Warut Roonguthai / Msieve 1.48 gnfs for P37 x P80 / Jun 1, 2011)

(67·10¹⁸¹+41)/9 =: 7(4)₁₈₀9_<182>; = 53 · 911 · 42131 · 4676297 · 8281979 · 141991566527749086929197_<24> · 165108482396811425155660189_<27> · 121710843248256603777008924948983385611121242357_<48> · 331160752353019654210539187583083132861767802689536904567422471_<63> (Sinkiti Sibata / Msieve 1.40 gnfs for P48 x P63 / 21.25 hours / Nov 8, 2009)

(67·10¹⁸²+41)/9 =: 7(4)₁₈₁9_<183>; = 7 · 106349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349207_<183>

(67·10¹⁸³+41)/9 =: 7(4)₁₈₂9_<184>; = 3 · 13 · 79 · 825566702968897136098633_<24> · [2926768865414218855407090900739689048785074833988620955841707669189401282941545914131327045312176225462850087387685232744016356802946446343050076976102855313_<157>] SUBMIT/RESERVE

(67·10¹⁸⁴+41)/9 =: 7(4)₁₈₃9_<185>; = 687620113 · 32571340043324166793_<20> · [3323901115833039769248809998477987273013483331326107960002378787261282965696305233228924412489323784878056419511730825150158735864648649733236851750255506761_<157>] SUBMIT/RESERVE

(67·10¹⁸⁵+41)/9 =: 7(4)₁₈₄9_<186>; = 17 · 241 · 251 · 677632651944004039691455516087438517717661638398255957_<54> · 1068312434596328427520500847735761708190001667063750632770663316658289322784604922836617494449649709779386669313247067392841031_<127> (Sinkiti Sibata / Msieve 1.42 snfs / 9 days / Dec 8, 2009)

(67·10¹⁸⁶+41)/9 =: 7(4)₁₈₅9_<187>; = 3³ · 2207 · 127885443305911_<15> · 434197710309178713362867_<24> · 2249870667934956057455534647009742413770083565534984481418085267885472882394212533588693146053989939450758849732966054266485369530458508209240793_<145>

(67·10¹⁸⁷+41)/9 =: 7(4)₁₈₆9_<188>; = 1576777 · 20394599499529_<14> · 151023714321673_<15> · 201989122603553053_<18> · [75888104559959142481652294063602178494663676552680444500541469067026542308479815665014477822665681341544889258958368005843692858103735837_<137>] SUBMIT/RESERVE

(67·10¹⁸⁸+41)/9 =: 7(4)₁₈₇9_<189>; = 7² · 59 · 383046324168792533_<18> · [672253237659761367581388069843579382235987693670191823898078105892015293825822582428888950444831363407881397603418011409760005175445299476633024515065525157702419574583_<168>] SUBMIT/RESERVE

(67·10¹⁸⁹+41)/9 =: 7(4)₁₈₈9_<190>; = 3 · 13 · 66889 · 65937777287549972104672719741339570638626702775829277_<53> · 19835681892166924316837328669467073777590817772748193389809_<59> · 2181883433698365572781691249645021250135008753987862425086247068666593083_<73> (Robert Backstrom / Msieve 1.42 snfs / Mar 11, 2010)

(67·10¹⁹⁰+41)/9 =: 7(4)₁₈₉9_<191>; = 797 · 39338201699861_<14> · 39613793665752443157231089_<26> · [59939488693804941546023909131682793564252834822621739154444596546366296492688993378956153178308080443521097009460181915375149360190082661163245336273_<149>] SUBMIT/RESERVE

(67·10¹⁹¹+41)/9 =: 7(4)₁₉₀9_<192>; = 71267683 · 10445750627874971667655372554267611652878408358588624867240940672147913724716495195226768414015149677932485113125460307786973296780876746679760087674583786376841301890570013963333765803_<185>

(67·10¹⁹²+41)/9 =: 7(4)₁₉₁9_<193>; = 3 · 347 · 683 · 104851 · 1892663 · 113871244523833_<15> · 463341205166333674334559094842898686945188498344982511367250636445884337413987693893929286685082891036414646950035249034798579003986892518693980835242373722044127_<162>

(67·10¹⁹³+41)/9 =: 7(4)₁₉₂9_<194>; = 19 · 191 · 1035907319806074777579280088713_<31> · 12818712518610850199157844019459893_<35> · 1544827583597094276331584946087282189016039810703961441810811074724364178862365161979473919085020013695395632860162414013292809_<127> (Lionel Debroux / GMP-ECM 6.2.3 B1=1e6, sigma=2460438557 for P31 / Oct 31, 2009) (Ignacio Santos / GMP-ECM 6.3 B1=3000000, sigma=3541297710 for P35 / May 24, 2011)

(67·10¹⁹⁴+41)/9 =: 7(4)₁₉₃9_<195>; = 7 · 23 · 53 · 63583701201763_<14> · 6197272398115258293598607_<25> · [221403334451309158866168847081454447673407030507033584685097762335150825692856624803439152642119699279321032898847982719806411474073885130464364808434833_<153>] SUBMIT/RESERVE

(67·10¹⁹⁵+41)/9 =: 7(4)₁₉₄9_<196>; = 3² · 13 · 3280763035687_<13> · [19394186535960270874431814671937226451957648237127878004368236276898914383616302880239127354378841872661704351685716735950993079275961193867321089052955848796187255110532434457286331_<182>] SUBMIT/RESERVE

(67·10¹⁹⁶+41)/9 =: 7(4)₁₉₅9_<197>; = 79 · 10850927 · 96140617 · [903298845670042318972661946302678274304716899799730829347214374816701850392818369534703364757956330906235444196532922275834888054051527662583734192852384816375756941748810987195609_<180>] SUBMIT/RESERVE

(67·10¹⁹⁷+41)/9 =: 7(4)₁₉₆9_<198>; = 6271 · 14804814301257493957368027068209_<32> · [8018488822340487237390691124028521224201676513048994685760860292500214647027078234420861913727315979617472630756131310269280591852145065737118488621600044708379791_<163>] (Wataru Sakai / GMP-ECM 6.2.1 B1=3000000, sigma=2933211590 for P32 / Nov 23, 2009) SUBMIT/RESERVE

(67·10¹⁹⁸+41)/9 =: 7(4)₁₉₇9_<199>; = 3 · 617 · 1217 · 76649 · 153379 · 233341 · 342197 · 6973619 · 11328881 · 35987542631_<11> · 1238221170396649491039327770216566189090050191475574661575687561740067756783824429430478255211020010320365931703300950777137326925691449748391918149_<148>

(67·10¹⁹⁹+41)/9 =: 7(4)₁₉₈9_<200>; = 61 · 1220400728597449908925318761384335154826958105646630236794171220400728597449908925318761384335154826958105646630236794171220400728597449908925318761384335154826958105646630236794171220400728597449909_<199>

(67·10²⁰⁰+41)/9 =: 7(4)₁₉₉9_<201>; = 7 · 37019 · 1699219 · 19948078418144625429662247897470404548598812290315462853228480428627158318213_<77> · 84753793902940460037043246546153482416003434907509820555707946008837232465533602652683402909433105892987969403499_<113> (matsui / Msieve 1.48 snfs / Dec 28, 2010)

4. References

A103059 - OEIS (The OEIS Foundation Inc.)