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Factorizations of 522...223

About 522...223
- First ten terms
- General term
Prime numbers of the form 522...223
Factorizations of 522...223
References

1. About 522...223

First ten terms

53, 523, 5223, 52223, 522223, 5222223, 52222223, 522222223, 5222222223, 52222222223

General term

(47·10ⁿ+7)/9

2. Prime numbers of the form 522...223

Last update

Aug 9, 2009

Searched up to

n≤10000

Difficulty of search

19.33%

Results

(47·10¹+7)/9 = 53 is prime.
(47·10²+7)/9 = 523 is prime.
(47·10⁴+7)/9 = 52223 is prime.
(47·10⁷+7)/9 = 52222223 is prime.
(47·10¹⁰³+7)/9 = 5(2)₁₀₂3_<104> is prime. (searched by Makoto Kamada / Dec 3, 2004) (certified by Makoto Kamada / PPSIQS / Jan 4, 2005)
(47·10¹⁶⁶+7)/9 = 5(2)₁₆₅3_<167> is prime. (searched by Makoto Kamada / Dec 3, 2004) (certified by Makoto Kamada / PPSIQS / Jan 4, 2005)
(47·10²⁸⁰+7)/9 = 5(2)₂₇₉3_<281> is prime. (searched by Makoto Kamada / Dec 3, 2004) (certified by Makoto Kamada / PPSIQS / Jan 4, 2005)
(47·10⁴⁷⁵+7)/9 = 5(2)₄₇₄3_<476> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / May 30, 2006)
(47·10⁵⁰⁵+7)/9 = 5(2)₅₀₄3_<506> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / May 30, 2006)
(47·10⁸³⁵+7)/9 = 5(2)₈₃₄3_<836> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / May 30, 2006)
(47·10⁹²²+7)/9 = 5(2)₉₂₁3_<923> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / May 30, 2006)
(47·10²⁰¹⁸+7)/9 = 5(2)₂₀₁₇3_<2019> is PRP. (Makoto Kamada / PFGW / Dec 17, 2004)
(47·10⁴⁴³⁵+7)/9 = 5(2)₄₄₃₄3_<4436> is PRP. (Makoto Kamada / PFGW / Dec 19, 2004)
(47·10⁴⁴⁵⁹+7)/9 = 5(2)₄₄₅₈3_<4460> is PRP. (Makoto Kamada / PFGW / Dec 19, 2004)
(47·10⁷⁶¹⁵+7)/9 = 5(2)₇₆₁₄3_<7616> is PRP. (Makoto Kamada / PFGW / Dec 28, 2004)
(47·10⁸⁵⁵⁸+7)/9 = 5(2)₈₅₅₇3_<8559> is PRP. (Makoto Kamada / PFGW / Dec 31, 2004)

3. Factorizations of 522...223

Last update

Nov 4, 2009

Completed up to

n≤100 / Jan 4, 2005
n≤150 / Mar 16, 2009

Range

n≤205

Terms which have not been factored yet

n=172, 175, 176, 180, 182, 189, 192, 198, 201, 203, 205 (11/205)

Results

(47·10¹+7)/9 =: 53; = definitely prime number

(47·10²+7)/9 =: 523; = definitely prime number

(47·10³+7)/9 =: 5223; = 3 · 1741

(47·10⁴+7)/9 =: 52223; = definitely prime number

(47·10⁵+7)/9 =: 522223; = 13 · 17² · 139

(47·10⁶+7)/9 =: 5222223; = 3² · 401 · 1447

(47·10⁷+7)/9 =: 52222223; = definitely prime number

(47·10⁸+7)/9 =: 522222223; = 1223 · 427001

(47·10⁹+7)/9 =: 5222222223_<10>; = 3 · 1109 · 1569649

(47·10¹⁰+7)/9 =: 52222222223_<11>; = 23 · 677 · 3353813

(47·10¹¹+7)/9 =: 522222222223_<12>; = 13 · 19 · 3079 · 686671

(47·10¹²+7)/9 =: 5222222222223_<13>; = 3 · 128327 · 13564883

(47·10¹³+7)/9 =: 52222222222223_<14>; = 61 · 151 · 5669549693_<10>

(47·10¹⁴+7)/9 =: 522222222222223_<15>; = 53 · 9853249475891_<13>

(47·10¹⁵+7)/9 =: 5222222222222223_<16>; = 3² · 11244589 · 51602323

(47·10¹⁶+7)/9 =: 52222222222222223_<17>; = 3361 · 527881 · 29434103

(47·10¹⁷+7)/9 =: 522222222222222223_<18>; = 13 · 43² · 421 · 51605143399_<11>

(47·10¹⁸+7)/9 =: 5222222222222222223_<19>; = 3 · 163 · 229 · 127133 · 366819751

(47·10¹⁹+7)/9 =: 52222222222222222223_<20>; = 607 · 86033315028372689_<17>

(47·10²⁰+7)/9 =: 522222222222222222223_<21>; = 59 · 62827 · 140882488507511_<15>

(47·10²¹+7)/9 =: 5222222222222222222223_<22>; = 3 · 17 · 67 · 379 · 4032470135912261_<16>

(47·10²²+7)/9 =: 52222222222222222222223_<23>; = 103 · 719 · 238339 · 2958653598301_<13>

(47·10²³+7)/9 =: 522222222222222222222223_<24>; = 13 · 1583 · 61152877 · 414967598681_<12>

(47·10²⁴+7)/9 =: 5222222222222222222222223_<25>; = 3³ · 124980230083_<12> · 1547569865503_<13>

(47·10²⁵+7)/9 =: 52222222222222222222222223_<26>; = 29 · 4196302889_<10> · 429131626376483_<15>

(47·10²⁶+7)/9 =: 522222222222222222222222223_<27>; = 78951911 · 646060339 · 10238105987_<11>

(47·10²⁷+7)/9 =: 5222222222222222222222222223_<28>; = 3 · 53 · 34102403 · 963104122593255899_<18>

(47·10²⁸+7)/9 =: 52222222222222222222222222223_<29>; = 8329 · 335251236163_<12> · 18702174227549_<14>

(47·10²⁹+7)/9 =: 522222222222222222222222222223_<30>; = 13 · 19 · 109 · 2293 · 8459171747267715872857_<22>

(47·10³⁰+7)/9 =: 5222222222222222222222222222223_<31>; = 3 · 293 · 90416562091_<11> · 65708035573356707_<17>

(47·10³¹+7)/9 =: 52222222222222222222222222222223_<32>; = 113 · 1833647 · 252035184246854619266993_<24>

(47·10³²+7)/9 =: 522222222222222222222222222222223_<33>; = 23 · 39868343 · 12134171671_<11> · 46934175350617_<14>

(47·10³³+7)/9 =: 5222222222222222222222222222222223_<34>; = 3² · 3299 · 175885696750605308754242774653_<30>

(47·10³⁴+7)/9 =: 52222222222222222222222222222222223_<35>; = 600673 · 2492003 · 327805397 · 106427185467761_<15>

(47·10³⁵+7)/9 =: 522222222222222222222222222222222223_<36>; = 13 · 4421447 · 9085473640403282215114404893_<28>

(47·10³⁶+7)/9 =: 5222222222222222222222222222222222223_<37>; = 3 · 27987467889569879_<17> · 62197150081928795779_<20>

(47·10³⁷+7)/9 =: 52222222222222222222222222222222222223_<38>; = 17 · 2882461 · 1065719683574765211806696598379_<31>

(47·10³⁸+7)/9 =: 522222222222222222222222222222222222223_<39>; = 43 · 12144702842377260981912144702842377261_<38>

(47·10³⁹+7)/9 =: 5222222222222222222222222222222222222223_<40>; = 3 · 83 · 197 · 106460812228043590039798222783972891_<36>

(47·10⁴⁰+7)/9 =: 52222222222222222222222222222222222222223_<41>; = 53 · 170473 · 2028941 · 456244421 · 6243913669682597947_<19>

(47·10⁴¹+7)/9 =: 522222222222222222222222222222222222222223_<42>; = 13 · 97 · 1123 · 16553 · 211758076709_<12> · 105206798933287013533_<21>

(47·10⁴²+7)/9 =: 5222222222222222222222222222222222222222223_<43>; = 3² · 83653 · 105737689 · 4423352668289_<13> · 14830300050658019_<17>

(47·10⁴³+7)/9 =: 52222222222222222222222222222222222222222223_<44>; = 7508923 · 10984884862648273_<17> · 633114395363066917037_<21>

(47·10⁴⁴+7)/9 =: 522222222222222222222222222222222222222222223_<45>; = 461 · 45191 · 149330617 · 167862471061356808719705016069_<30>

(47·10⁴⁵+7)/9 =: 5222222222222222222222222222222222222222222223_<46>; = 3 · 283 · 244579566367251923_<18> · 25149391847414667030580549_<26>

(47·10⁴⁶+7)/9 =: 52222222222222222222222222222222222222222222223_<47>; = 343849553 · 21256717199_<11> · 7144810090467714942847135409_<28>

(47·10⁴⁷+7)/9 =: 522222222222222222222222222222222222222222222223_<48>; = 13 · 19 · 107 · 5190583 · 40772157317_<11> · 93367297043854836930847417_<26>

(47·10⁴⁸+7)/9 =: 5222222222222222222222222222222222222222222222223_<49>; = 3 · 5557 · 19891 · 1469813677_<10> · 10714571204187288015660864683959_<32>

(47·10⁴⁹+7)/9 =: 52222222222222222222222222222222222222222222222223_<50>; = 807559 · 300621228707_<12> · 231030307048391_<15> · 931091766111736181_<18>

(47·10⁵⁰+7)/9 =: 522222222222222222222222222222222222222222222222223_<51>; = 1600014911239_<13> · 7101963344209_<13> · 45957129220354067230720873_<26>

(47·10⁵¹+7)/9 =: 5222222222222222222222222222222222222222222222222223_<52>; = 3⁴ · 139 · 125325315468229_<15> · 1630355062494647_<16> · 2270045313841854319_<19>

(47·10⁵²+7)/9 =: 52222222222222222222222222222222222222222222222222223_<53>; = 91885674193956186614740009_<26> · 568339109228162552220160247_<27>

(47·10⁵³+7)/9 =: 522222222222222222222222222222222222222222222222222223_<54>; = 13 · 17 · 29 · 53 · 223 · 571 · 36836643611_<11> · 327769232092205832721771317795373_<33>

(47·10⁵⁴+7)/9 =: 5222222222222222222222222222222222222222222222222222223_<55>; = 3 · 23 · 67 · 294023 · 1527899 · 2514522371770702381996617681663460768213_<40>

(47·10⁵⁵+7)/9 =: 52222222222222222222222222222222222222222222222222222223_<56>; = 1301 · 418169 · 4748699 · 28291169 · 171677161 · 4161866636481686584869737_<25>

(47·10⁵⁶+7)/9 =: 522222222222222222222222222222222222222222222222222222223_<57>; = 103 · 37463 · 135336696536627393972984664538194765689129707582607_<51>

(47·10⁵⁷+7)/9 =: 5222222222222222222222222222222222222222222222222222222223_<58>; = 3 · 263² · 269 · 4076476711_<10> · 561483273416579_<15> · 40874130586387415890869349_<26>

(47·10⁵⁸+7)/9 =: 52222222222222222222222222222222222222222222222222222222223_<59>; = 3221 · 15910137236972327233_<20> · 1019038747839412214164850517225638611_<37>

(47·10⁵⁹+7)/9 =: 522222222222222222222222222222222222222222222222222222222223_<60>; = 13² · 43 · 9161 · 11816473266583_<14> · 83911843228331_<14> · 7911269285616851748456673_<25>

(47·10⁶⁰+7)/9 =: 5222222222222222222222222222222222222222222222222222222222223_<61>; = 3² · 337 · 80564179403_<11> · 8096173715997573937_<19> · 2639739871742628463650307621_<28>

(47·10⁶¹+7)/9 =: 52222222222222222222222222222222222222222222222222222222222223_<62>; = 25975124405859376927280914123_<29> · 2010470533509441732074971291914701_<34>

(47·10⁶²+7)/9 =: 522222222222222222222222222222222222222222222222222222222222223_<63>; = 6079 · 133277 · 103359877 · 4102248933841_<13> · 38240242598827_<14> · 39753316211634782579_<20>

(47·10⁶³+7)/9 =: 5222222222222222222222222222222222222222222222222222222222222223_<64>; = 3 · 1740740740740740740740740740740740740740740740740740740740740741_<64>

(47·10⁶⁴+7)/9 =: 52222222222222222222222222222222222222222222222222222222222222223_<65>; = 153343 · 4117031 · 37369304708522266480651043_<26> · 2213564791467672204294265517_<28>

(47·10⁶⁵+7)/9 =: 522222222222222222222222222222222222222222222222222222222222222223_<66>; = 13 · 19 · 4274384235137333_<16> · 4411977007605257_<16> · 112111869680186235257862389843389_<33>

(47·10⁶⁶+7)/9 =: 5222222222222222222222222222222222222222222222222222222222222222223_<67>; = 3 · 53 · 32844164919636617749825296995108315863032844164919636617749825297_<65>

(47·10⁶⁷+7)/9 =: 52222222222222222222222222222222222222222222222222222222222222222223_<68>; = 343338340646619334847_<21> · 152101341562583875461411857029181774498279573809_<48>

(47·10⁶⁸+7)/9 =: 522222222222222222222222222222222222222222222222222222222222222222223_<69>; = 3557 · 287887 · 34990451 · 14574708887929520494322953608374802466883440474300447_<53>

(47·10⁶⁹+7)/9 =: 5222222222222222222222222222222222222222222222222222222222222222222223_<70>; = 3² · 17 · 5261 · 25954358877808702573_<20> · 1527470271122049833827_<22> · 163648694101139890413061_<24>

(47·10⁷⁰+7)/9 =: 52222222222222222222222222222222222222222222222222222222222222222222223_<71>; = 6441228667_<10> · 17457793261_<11> · 464405425914744085292552643686541515698384306082129_<51>

(47·10⁷¹+7)/9 =: 522222222222222222222222222222222222222222222222222222222222222222222223_<72>; = 13 · 1393589 · 28825529026807883056030824131749153401878846755349081357682171839_<65>

(47·10⁷²+7)/9 =: 5222222222222222222222222222222222222222222222222222222222222222222222223_<73>; = 3 · 443 · 712301 · 201488335931_<12> · 27378957234699369946393098310542502894903516078087777_<53>

(47·10⁷³+7)/9 =: 52222222222222222222222222222222222222222222222222222222222222222222222223_<74>; = 61 · 1959283 · 23033596909_<11> · 10492942332083_<14> · 353974235345117_<15> · 5107373779426298745855270779_<28>

(47·10⁷⁴+7)/9 =: 522222222222222222222222222222222222222222222222222222222222222222222222223_<75>; = 3253 · 321530320099_<12> · 42940215807746440382322625897_<29> · 11627467373638399472793382132297_<32>

(47·10⁷⁵+7)/9 =: 5222222222222222222222222222222222222222222222222222222222222222222222222223_<76>; = 3 · 204446523353173_<15> · 16225286515084663231_<20> · 51558025274865537991_<20> · 10178076585999692590777_<23>

(47·10⁷⁶+7)/9 =: 52222222222222222222222222222222222222222222222222222222222222222222222222223_<77>; = 23 · 1433 · 11731 · 179392300452467_<15> · 11455013739068581120006661_<26> · 65727463664937879014194086101_<29>

(47·10⁷⁷+7)/9 =: 522222222222222222222222222222222222222222222222222222222222222222222222222223_<78>; = 13 · 14062051009_<11> · 2856691399087512081159663795878936634297550937787255393973869219019_<67>

(47·10⁷⁸+7)/9 =: 5222222222222222222222222222222222222222222222222222222222222222222222222222223_<79>; = 3³ · 59 · 463 · 216746608951_<12> · 1217509737347_<13> · 5277787993576513_<16> · 5083723083818262861855561551526677_<34>

(47·10⁷⁹+7)/9 =: 52222222222222222222222222222222222222222222222222222222222222222222222222222223_<80>; = 53 · 27927433 · 999039407 · 1712272378211_<13> · 24173841181879553288087_<23> · 853193082576902535780783473_<27>

(47·10⁸⁰+7)/9 =: 522222222222222222222222222222222222222222222222222222222222222222222222222222223_<81>; = 43 · 83 · 37766965979_<11> · 3874330839121629942038658127596251860729096420781627386322107126573_<67>

(47·10⁸¹+7)/9 =: 5222222222222222222222222222222222222222222222222222222222222222222222222222222223_<82>; = 3 · 29 · 89917 · 105527 · 8992561 · 703472788564291181491296967713555108754918521455275036258982171_<63>

(47·10⁸²+7)/9 =: 52222222222222222222222222222222222222222222222222222222222222222222222222222222223_<83>; = 6529 · 18097 · 4089950937723183318592872049099_<31> · 108064735588558789172315616084436745019988829_<45> (Makoto Kamada / msieve 0.81 / 10 minutes)

(47·10⁸³+7)/9 =: 522222222222222222222222222222222222222222222222222222222222222222222222222222222223_<84>; = 13 · 19 · 1976577615706456747_<19> · 1069656962719971269038786941001680757650456189859569192358810747_<64>

(47·10⁸⁴+7)/9 =: 5222222222222222222222222222222222222222222222222222222222222222222222222222222222223_<85>; = 3 · 11299 · 30110737 · 553843582673_<12> · 3091237557158486797800727673_<28> · 2988499519594657757637681989056783_<34>

(47·10⁸⁵+7)/9 =: 52222222222222222222222222222222222222222222222222222222222222222222222222222222222223_<86>; = 17 · 497831 · 145713006665857_<15> · 16076889955398155243_<20> · 2634050710896029883124136799916143262199990299_<46>

(47·10⁸⁶+7)/9 =: 522222222222222222222222222222222222222222222222222222222222222222222222222222222222223_<87>; = 1427 · 18451 · 66447779 · 25063802605273_<14> · 63282354901736801_<17> · 188192106566543943665036866063530012998597_<42>

(47·10⁸⁷+7)/9 =: 5222222222222222222222222222222222222222222222222222222222222222222222222222222222222223_<88>; = 3² · 67 · 503 · 439787686372673_<15> · 39149569061523963588676516883174839460443284512742343865860785097739_<68>

(47·10⁸⁸+7)/9 =: 52222222222222222222222222222222222222222222222222222222222222222222222222222222222222223_<89>; = 151 · 345842531272994849153789551140544518027961736571008094186902133922001471670345842531273_<87>

(47·10⁸⁹+7)/9 =: 522222222222222222222222222222222222222222222222222222222222222222222222222222222222222223_<90>; = 13 · 39323 · 4020826507_<10> · 35323137613913_<14> · 994211149507855507813343533_<27> · 7234559888455337754496702810742359_<34>

(47·10⁹⁰+7)/9 =: 5222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223_<91>; = 3 · 103 · 1439 · 19046773569776539193_<20> · 10057842121652822879692781129_<29> · 61306968547713821338708861583873544109_<38>

(47·10⁹¹+7)/9 =: 52222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223_<92>; = 12398038959902201_<17> · 2288295568838456209631791_<25> · 1840730600498854376982909386287677737387272063243753_<52>

(47·10⁹²+7)/9 =: 522222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223_<93>; = 53 · 22823881 · 18856074651647418487386246520181355897529_<41> · 22894897085601032819870770142351945495187059_<44> (Makoto Kamada / GGNFS-0.70.7 / 0.69 hours)

(47·10⁹³+7)/9 =: 5222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223_<94>; = 3 · 258158388101021_<15> · 3692445505479107461010963_<25> · 1826138692594145212242300282519504947563267835962407667_<55>

(47·10⁹⁴+7)/9 =: 52222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223_<95>; = 831619 · 4881187 · 54689237 · 836674550151652557981301710727_<30> · 281155818890586520828650160909091527123821709_<45> (Makoto Kamada / msieve 0.81 / 8.4 minutes)

(47·10⁹⁵+7)/9 =: 522222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223_<96>; = 13 · 61535344225609_<14> · 4165281988668653327_<19> · 156726687066541986554618939930787461663305790183747158900455197_<63>

(47·10⁹⁶+7)/9 =: 5222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223_<97>; = 3² · 1679450988240609079_<19> · 429305335142086908233_<21> · 2159395506931415584714509469_<28> · 372689387110889549536789840109_<30>

(47·10⁹⁷+7)/9 =: 52222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223_<98>; = 139 · 299147 · 6632850853_<10> · 6640491228797_<13> · 28513823510776747122405915887689840826699168655542108281124894223191_<68>

(47·10⁹⁸+7)/9 =: 522222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223_<99>; = 23 · 131 · 149 · 954599 · 1218565766845957600372698588895791192839109531092246717409879539407209929462502314023921_<88>

(47·10⁹⁹+7)/9 =: 5222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223_<100>; = 3 · 163 · 409 · 3511 · 1903094059_<10> · 5910303594065956783_<19> · 661183958972946354947631115991579624784129461920134238499687669_<63>

(47·10¹⁰⁰+7)/9 =: 52222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223_<101>; = 107 · 4547 · 1643513 · 65309066014347033795467470657506330363178311059392332369630783864523086601950535679241799_<89>

(47·10¹⁰¹+7)/9 =: 5(2)₁₀₀3_<102>; = 13 · 17 · 19 · 43 · 7329188319675671_<16> · 367669493552132646990714343_<27> · 1073315844618052147212146074676347407914030491352548363_<55>

(47·10¹⁰²+7)/9 =: 5(2)₁₀₁3_<103>; = 3 · 881 · 22259 · 340183 · 12856693 · 320134379 · 28145708987435114844347473_<26> · 2252506989426156790926507176101549296185996418023_<49>

(47·10¹⁰³+7)/9 =: 5(2)₁₀₂3_<104>; = definitely prime number

(47·10¹⁰⁴+7)/9 =: 5(2)₁₀₃3_<105>; = 2213 · 57467 · 129643 · 189223 · 2913672623843_<13> · 57450215135677747214833027032615706917686453089511224682921446991491763519_<74>

(47·10¹⁰⁵+7)/9 =: 5(2)₁₀₄3_<106>; = 3³ · 53² · 2003 · 2122202692748209_<16> · 768412866636991220199306732940741_<33> · 21080330053918297364193371076016505497330319954123_<50> (Makoto Kamada / Msieve-1.39 for P33 x P50 / 22 min on Athlon 4850e 2.5GHz, 2GB, Vista 32bit, Cygwin / Mar 14, 2009)

(47·10¹⁰⁶+7)/9 =: 5(2)₁₀₅3_<107>; = 102552171005093_<15> · 586131916604674594186662435865517_<33> · 868790611576412906071918691609898995245693401683366767021583_<60> (Sinkiti Sibata / Msieve 1.39 for P33 x P60 / 2.71 hours / Mar 14, 2009)

(47·10¹⁰⁷+7)/9 =: 5(2)₁₀₆3_<108>; = 13 · 3177356485485053_<16> · 6262305190148577371_<19> · 2018886127171502150263681757847961991981002082940227609634227951104145317_<73>

(47·10¹⁰⁸+7)/9 =: 5(2)₁₀₇3_<109>; = 3 · 531665141897_<12> · 3274129905394429866527467427971928025745666296460986282369857393857196024914554077173146346106653_<97>

(47·10¹⁰⁹+7)/9 =: 5(2)₁₀₈3_<110>; = 29 · 821 · 1973 · 4938104263_<10> · 225126620959366696613426162303787210972441881315889558978506805500274837537401445153517212853_<93>

(47·10¹¹⁰+7)/9 =: 5(2)₁₀₉3_<111>; = 1528060846391_<13> · 341754861042094963510872584382330964933794799250492971348131428023712894653247649807789389001448553_<99>

(47·10¹¹¹+7)/9 =: 5(2)₁₁₀3_<112>; = 3 · 167 · 1100719420842443_<16> · 99354390761686984015872318744119_<32> · 95313392755558649228750245113021824453060736428646393675802319_<62> (Sinkiti Sibata / Msieve 1.39 for P32 x P62 / 3.6 hours / Mar 14, 2009)

(47·10¹¹²+7)/9 =: 5(2)₁₁₁3_<113>; = 299743 · 5413476542623_<13> · 32183260427517134732772716613480682150469149483780283273371323591965607047164567169263309909007_<95>

(47·10¹¹³+7)/9 =: 5(2)₁₁₂3_<114>; = 13 · 195443 · 3320663 · 204811829984159_<15> · 2161347338431733269703_<22> · 139825850340140262800867426707432284933857853307016224682555059447_<66>

(47·10¹¹⁴+7)/9 =: 5(2)₁₁₃3_<115>; = 3² · 38723 · 20871531260066803_<17> · 5591044173331850102385779_<25> · 15271075562260320783417233_<26> · 8408663645085381724991923434349034944378309_<43>

(47·10¹¹⁵+7)/9 =: 5(2)₁₁₄3_<116>; = 3443488747_<10> · 21063031330961854291_<20> · 720005487895809494327226945162778250741732979543812554908845116641307389006898949092799_<87>

(47·10¹¹⁶+7)/9 =: 5(2)₁₁₅3_<117>; = 1637 · 62267765518904988193_<20> · 510923481290774752806888431_<27> · 10027381193700512224040885376662331469014788231256786953147223856813_<68>

(47·10¹¹⁷+7)/9 =: 5(2)₁₁₆3_<118>; = 3 · 17 · 307 · 2388660613_<10> · 920516780059_<12> · 24217330636261991047073_<23> · 731914632828606544053017_<24> · 8558032624253714305323742348247457804955946137_<46>

(47·10¹¹⁸+7)/9 =: 5(2)₁₁₇3_<119>; = 53 · 577 · 619 · 5500301 · 3677357644554259487_<19> · 136392563026131533782465008406751686948553272152943173449183063902687186850877564277411_<87>

(47·10¹¹⁹+7)/9 =: 5(2)₁₁₈3_<120>; = 13 · 19 · 2893741 · 143729909341_<12> · 39630807092145422370870826294127675253372111261851_<50> · 128268102157416318560550976482838943377755476654339_<51> (Sinkiti Sibata / Msieve 1.39 for P50 x P51 / 7.49 hours / Mar 16, 2009)

(47·10¹²⁰+7)/9 =: 5(2)₁₁₉3_<121>; = 3 · 23 · 67 · 58962184232150392670366640168391_<32> · 133943913835122258864857864394069859_<36> · 143032558372851703947779325306801011893849650648029_<51> (Makoto Kamada / GMP-ECM 6.2.1 B1=1e6, sigma=474830456 for P32 / Mar 11, 2009) (Makoto Kamada / Msieve-1.39 for P36 x P51 / 33 min on Athlon 4850e 2.5GHz, 2GB, Vista 32bit, Cygwin / Mar 14, 2009)

(47·10¹²¹+7)/9 =: 5(2)₁₂₀3_<122>; = 83 · 9517368028586981_<16> · 113774271024526385749588083053_<30> · 581053780415553605165733121735419527193997626658909444945622996525136968917_<75> (Makoto Kamada / GMP-ECM 6.2.1 B1=1e6, sigma=652781413 for P30 / Mar 11, 2009)

(47·10¹²²+7)/9 =: 5(2)₁₂₁3_<123>; = 43 · 479 · 212198009 · 6958214521_<10> · 14179921375937_<14> · 1210984092048558071119354892474068485196701805590057257681806326434940648160713363404963_<88>

(47·10¹²³+7)/9 =: 5(2)₁₂₂3_<124>; = 3² · 81847 · 43782561397_<11> · 132771909167_<12> · 1219558698146691263081961989471080598825862817822574889891989284780750848024750861683746130716499_<97>

(47·10¹²⁴+7)/9 =: 5(2)₁₂₃3_<125>; = 103 · 11887 · 14394089 · 2785752717121406456107181322074188931_<37> · 1063699890799604316061313992156606964334667038811968046342270980758586143477_<76> (Sinkiti Sibata / GGNFS-0.77.1-20050930-pentium4 snfs / 4.64 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Mar 14, 2009)

(47·10¹²⁵+7)/9 =: 5(2)₁₂₄3_<126>; = 13 · 414971 · 249262664540884389477543315300142196556005259225137_<51> · 388362256356922383654110336587870767762061470294935602486273863612673_<69> (Ignacio Santos / GGNFS, Msieve snfs / 1.68 hours / Mar 14, 2009)

(47·10¹²⁶+7)/9 =: 5(2)₁₂₅3_<127>; = 3 · 48777430327_<11> · 268205965271_<12> · 268503216034673023_<18> · 3162680646980247853_<19> · 156690227330125169982844617832400323050061663243522699113268047285367_<69>

(47·10¹²⁷+7)/9 =: 5(2)₁₂₆3_<128>; = 197083 · 10577279383829_<14> · 111720058899756669513508290883342780785552558577_<48> · 224233787317142184660331278856736740012475797164269565267779257_<63> (Sinkiti Sibata / GGNFS-0.77.1-20050930-pentium4 snfs / 6.24 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Mar 15, 2009)

(47·10¹²⁸+7)/9 =: 5(2)₁₂₇3_<129>; = 28019 · 446895499 · 104895823969582061143249_<24> · 397592824499451261026406678682165062211410116071622537486825307957511283580239771912538172367_<93>

(47·10¹²⁹+7)/9 =: 5(2)₁₂₈3_<130>; = 3 · 167159 · 2055929479_<10> · 2521347341_<10> · 119451231745331569_<18> · 16817940242151934280356472106003185973770865468326358858997174255906074767406571123662889_<89>

(47·10¹³⁰+7)/9 =: 5(2)₁₂₉3_<131>; = 88793 · 30602062129474609741231985600401032056090268883_<47> · 19218784915527384809400907508899151102992419244502866884919413944562822687207517_<80> (Ignacio Santos / GGNFS, Msieve snfs / 2.20 hours / Mar 14, 2009)

(47·10¹³¹+7)/9 =: 5(2)₁₃₀3_<132>; = 13 · 53 · 757942267376229640380583776810191904531527173036606998871149814546040961135300757942267376229640380583776810191904531527173036607_<129>

(47·10¹³²+7)/9 =: 5(2)₁₃₁3_<133>; = 3⁴ · 2441 · 3863 · 1501943 · 30691171417_<11> · 63336296587401306101_<20> · 9079912530549884288761_<22> · 257914996860746880566622897536357019093903615039708944030249823211_<66>

(47·10¹³³+7)/9 =: 5(2)₁₃₂3_<134>; = 17 · 61 · 2447 · 670530294355163812218807659151808165983773_<42> · 30691931400014721397861209168400013999985859919109854327608444234510209403027930283209_<86> (Erik Branger / GGNFS, Msieve snfs / 3.32 hours / Mar 15, 2009)

(47·10¹³⁴+7)/9 =: 5(2)₁₃₃3_<135>; = 3799661 · 18715250221_<11> · 4525990818863841521810589260294153_<34> · 1622561588863687464350670473498891981365744075605523527865925442743054930210085773311_<85> (Serge Batalov / GMP-ECM 6.2.2 B1=3000000, sigma=1946389392 for P34 / Mar 14, 2009)

(47·10¹³⁵+7)/9 =: 5(2)₁₃₄3_<136>; = 3 · 2593 · 41772283146786978635729672887661947099_<38> · 33809349590802576044638725167462602354959817_<44> · 475342392548263571865729455529900570409279608682439_<51> (Ignacio Santos / GGNFS, Msieve snfs / 3.33 hours / Mar 14, 2009)

(47·10¹³⁶+7)/9 =: 5(2)₁₃₅3_<137>; = 59 · 4099 · 1153933758298736167169_<22> · 187130483509906346288946602605439033181631165920532655673259461785327595012694247396537229796710125152067105087_<111>

(47·10¹³⁷+7)/9 =: 5(2)₁₃₆3_<138>; = 13² · 19 · 29 · 97 · 109 · 197 · 229937 · 47675357 · 6422170386514943990059678887791069_<34> · 4358789346295655325743077570815223087_<37> · 8774089653393861131013655175773030008711191_<43> (Serge Batalov / GMP-ECM 6.2.2 B1=3000000, sigma=480940633 for P34, msieve-1.40 qs for P37 x P43 / Mar 14, 2009)

(47·10¹³⁸+7)/9 =: 5(2)₁₃₇3_<139>; = 3 · 74888297967594832839979980338219968859_<38> · 23244495975779587331338347767981862919991270902971405226871275122113539942555509695342001780626474399_<101> (Sinkiti Sibata / Msieve / 5.23 hours / Mar 15, 2009)

(47·10¹³⁹+7)/9 =: 5(2)₁₃₈3_<140>; = 712139226103_<12> · 924167590475255281190980833502221704983289143438697_<51> · 79348679913887986573832937048156352419037224563313906740755084949360325692353_<77> (Ignacio Santos / GGNFS, Msieve snfs / 6.56 hours / Mar 15, 2009)

(47·10¹⁴⁰+7)/9 =: 5(2)₁₃₉3_<141>; = 1103 · 1485277 · 894342431 · 283548934196313789203440276497841_<33> · 1911449618135293346702987304200387_<34> · 657624023197298791172408414280655129548713829126953741129_<57> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=2255321493 for P33 / Mar 14, 2009) (Ignacio Santos / GGNFS, Msieve gnfs for P34 x P57 / 2.18 hours / Mar 15, 2009)

(47·10¹⁴¹+7)/9 =: 5(2)₁₄₀3_<142>; = 3² · 295211426515097623_<18> · 54202613193023378959_<20> · 2541707167149339001846117577_<28> · 14267041912138151796523043488921979940927219514975963703827062862940412989623_<77>

(47·10¹⁴²+7)/9 =: 5(2)₁₄₁3_<143>; = 23 · 4567 · 5156969 · 5096739469024961520866987421681254104278729943636216958479_<58> · 18915139382309534187342328756837372102811459581455292795741652706009590153_<74> (Ignacio Santos / GGNFS, Msieve snfs / 9.63 hours / Mar 16, 2009)

(47·10¹⁴³+7)/9 =: 5(2)₁₄₂3_<144>; = 13 · 43 · 113 · 139 · 1211501 · 373471253186819107_<18> · 131452648594194056372948260807713047277345625799686732420378839949373271547549680086360107545862192706889735456853_<114>

(47·10¹⁴⁴+7)/9 =: 5(2)₁₄₃3_<145>; = 3 · 53 · 8823361 · 39668383 · 195649389721_<12> · 7048846289819897101576283_<25> · 68042950955701275130274684861961930522752961375360849346751131150996160022788992905500744933_<92>

(47·10¹⁴⁵+7)/9 =: 5(2)₁₄₄3_<146>; = 275553923 · 34021011667_<11> · 112599056438335623181603599079_<30> · 49472832388720086122291327179395693383487484356682859857859279303417417513460903969253159776692257_<98> (Makoto Kamada / GMP-ECM 6.2.1 B1=1e6, sigma=1547706598 for P30 / Mar 11, 2009)

(47·10¹⁴⁶+7)/9 =: 5(2)₁₄₅3_<147>; = 43943 · 2497759601_<10> · 72190476728398314067_<20> · 85624867478828930787372533109107_<32> · 769724280521484580060958723080328755146417996214229835475972442189748684927038369_<81> (Robert Backstrom / GMP-ECM 6.0 B1=3000000, sigma=1394535338 for P32 / Mar 15, 2009)

(47·10¹⁴⁷+7)/9 =: 5(2)₁₄₆3_<148>; = 3 · 367 · 4743162781309920274497931173680492481582399838530628721364416187304470683217277222726814007467958421636895751337168230901200928448884852154606923_<145>

(47·10¹⁴⁸+7)/9 =: 5(2)₁₄₇3_<149>; = 4603 · 9239 · 150977405811707391544441629014942915254146978114697_<51> · 8133499563790653802159123230440166841774559689885450265413877571628391523856582549817248627_<91> (Markus Tervooren / Msieve / 15.16 hours / Mar 15, 2009)

(47·10¹⁴⁹+7)/9 =: 5(2)₁₄₈3_<150>; = 13 · 17 · 2237 · 55952747 · 23495186807989157_<17> · 896342400422453918773295317_<27> · 896443318320184387000744413392804529950113324972649798360488252444887508166933456626928231293_<93>

(47·10¹⁵⁰+7)/9 =: 5(2)₁₄₉3_<151>; = 3² · 12227 · 612162408550839449_<18> · 12981001349455405687802789400335433709_<38> · 8235387083643003571164062884161771612247309_<43> · 725160363174653876136764441831634563361439526269_<48> (Robert Backstrom / GMP-ECM 6.0 B1=3000000, sigma=652276842 for P38, Msieve 1.39 for P43 x P48 / 0.98 hours / Mar 16, 2009)

(47·10¹⁵¹+7)/9 =: 5(2)₁₅₀3_<152>; = 54377 · 1396878228389702772023212273444635430643248153499312015251540972847_<67> · 687514015860989579211268857010371322143295142608516624964678470259632117016644217_<81> (Ignacio Santos / GGNFS, Msieve snfs / 18.35 hours / Mar 17, 2009)

(47·10¹⁵²+7)/9 =: 5(2)₁₅₁3_<153>; = 1952695607832913_<16> · 283524340410277072904211677_<27> · 339373340987111439213032822853497251_<36> · 2779410708331052353653724618917632167285726758443818868201468908679417755673_<76> (Serge Batalov / GMP-ECM 6.2.2 B1=3000000, sigma=1946158246 for P36 / Mar 14, 2009)

(47·10¹⁵³+7)/9 =: 5(2)₁₅₂3_<154>; = 3 · 67 · 107 · 193 · 13570844613002159206276004364691_<32> · 15817293669014247931825045270010627021_<38> · 5861100234609922300221141974629455706532441454493876553268835399948265889446243_<79> (Serge Batalov / GMP-ECM 6.2.2 B1=3000000, sigma=2000005749 for P38, B1=3000000, sigma=2056501203 for P32 / Mar 14, 2009)

(47·10¹⁵⁴+7)/9 =: 5(2)₁₅₃3_<155>; = 179 · 3251 · 93083 · 491089087448171_<15> · 155812396614885651214363_<24> · 12599481835802898226611643451645301128120599226171855096073573021342921358807501490307063319715425970094893_<107>

(47·10¹⁵⁵+7)/9 =: 5(2)₁₅₄3_<156>; = 13 · 19 · 48779 · 1340071 · 49118467 · 1057730668417200572838874936212859657_<37> · 5105488992144329951453710753573117397_<37> · 121938387829153761107662905698626411651559749568993099534450107_<63> (Erik Branger / GGNFS, Msieve snfs / 25.04 hours / Mar 26, 2009)

(47·10¹⁵⁶+7)/9 =: 5(2)₁₅₅3_<157>; = 3 · 6089087228464387789_<19> · 285878765638859087936137182302083030933185125971274769421525188414921792196885702924686618805953273546298798398698658389298464208840879769_<138>

(47·10¹⁵⁷+7)/9 =: 5(2)₁₅₆3_<158>; = 53 · 421 · 7753 · 11813 · 861740186150432041_<18> · 241830508061251464811661998926787_<33> · 353857639571532254488773357157059114181483_<42> · 346538414823540919935905899613289637969994899089486299_<54> (Serge Batalov / GMP-ECM 6.2.2 B1=3000000, sigma=3844973302 for P33 / Mar 14, 2009) (Max Dettweiler / GGNFS (sieving) + msieve v1.40beta2 (postprocessing) via factMsieve.pl gnfs for P42 x P54 / 6.12 hours on Core 2 Duo E4500 (2.2Ghz), Ubuntu 8.10 32-bit / Mar 15, 2009)

(47·10¹⁵⁸+7)/9 =: 5(2)₁₅₇3_<159>; = 103 · 71303755236789181010241436764968018401427992819337740943_<56> · 71105913643882583795061215112708628113247174708582329597976670564566008135825025418369512291553408087_<101> (Serge Batalov / Msieve-1.40b2 snfs / 9.38 hours on AMD Phenom(tm) II X4 940/openSUSE/64 / Mar 22, 2009)

(47·10¹⁵⁹+7)/9 =: 5(2)₁₅₈3_<160>; = 3³ · 59927713 · 191530975350692846041_<21> · 511170948529923283034557432633722003404601633248959994471_<57> · 32965426305433629230190054462246589863807476823608132777661922721319318643_<74> (Ignacio Santos / GGNFS, Msieve snfs / 35.25 hours / Apr 1, 2009)

(47·10¹⁶⁰+7)/9 =: 5(2)₁₅₉3_<161>; = 109597 · 209317 · 93755803 · 319630842107_<12> · 60115134097320924439_<20> · 1519335890773219180755363737_<28> · 831701962560258239904384918221809325990001458475561806330597399199111132511754763209_<84>

(47·10¹⁶¹+7)/9 =: 5(2)₁₆₀3_<162>; = 13 · 359 · 653 · 1768741436954407_<16> · 96881312999829991256225616777872367712468465873634407704148638062189361906175556570555316650764270652288469320381175562248230680926770905639_<140>

(47·10¹⁶²+7)/9 =: 5(2)₁₆₁3_<163>; = 3 · 83 · 28447 · 59910937 · 677169855882163806082378185483179_<33> · 5496731340466694320360386942697835693_<37> · 3306064243695495188858715370392906167979916663834620388391227511084523258179119_<79> (Robert Backstrom / GMP-ECM 6.2.1 B1=1448000, sigma=344506990 for P33, B1=3640000, sigma=2816991832 for P37 / Mar 24, 2009)

(47·10¹⁶³+7)/9 =: 5(2)₁₆₂3_<164>; = 151 · 17789 · 3644306185089223_<16> · 5334724644934110774848417245805320667426470104926404286271789220309314868841359098325275287084262739453960138994679886255414762129726305399259_<142>

(47·10¹⁶⁴+7)/9 =: 5(2)₁₆₃3_<165>; = 23 · 43 · 21759131 · 3120834083_<10> · 3374993773673_<13> · 20398266286980159421404905123974135815941181589412331885179004209_<65> · 112948533588779377061204194941043083851885494268137274349596053865987_<69> (Robert Backstrom / GGNFS-0.77.1-20060513-pentium-m, Msieve 1.39 snfs / 46.09 hours, 1.03 hours / Apr 14, 2009)

(47·10¹⁶⁵+7)/9 =: 5(2)₁₆₄3_<166>; = 3 · 17 · 29 · 439 · 193130005526469421141_<21> · 71558051718149536220290289_<26> · 581988487260874091069852413300717842872708394608901373721516362824078224100576848956091818822830418011850305923267_<114>

(47·10¹⁶⁶+7)/9 =: 5(2)₁₆₅3_<167>; = definitely prime number

(47·10¹⁶⁷+7)/9 =: 5(2)₁₆₆3_<168>; = 13 · 40170940170940170940170940170940170940170940170940170940170940170940170940170940170940170940170940170940170940170940170940170940170940170940170940170940170940170940171_<167>

(47·10¹⁶⁸+7)/9 =: 5(2)₁₆₇3_<169>; = 3² · 257 · 6311 · 2440213 · 4387009457_<10> · 33418367335566380220089887559519353549839184821463667424100748553433514029917154409908526007317437485341524153018124180488677138134856738373309021_<146>

(47·10¹⁶⁹+7)/9 =: 5(2)₁₆₈3_<170>; = 3910201 · 794713181149411111682301022055428586693_<39> · 16805283750075034191479848530740623199369945040294683927031175977873033235337781607162824731136170054236085541647539786898011_<125> (Ignacio Santos / GGNFS, Msieve snfs / 77.13 hours / May 9, 2009)

(47·10¹⁷⁰+7)/9 =: 5(2)₁₆₉3_<171>; = 53 · 6724829 · 67618339 · 1783969331_<10> · 63031244433350462277961874790503249892506486100802703001462978317_<65> · 192703884630974675279313413532569965260638475935521459497205658966223021555132643_<81> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs / 37.80 hours on Core 2 Quad Q6700 / Sep 30, 2009)

(47·10¹⁷¹+7)/9 =: 5(2)₁₇₀3_<172>; = 3 · 8941 · 18341 · 502034447 · 76593223579_<11> · 1182579994909759_<16> · 4481415094605636343999_<22> · 52090127701702870614566494625733573483940996645447910680997541526337497348405794218222861075720312496722417_<107>

(47·10¹⁷²+7)/9 =: 5(2)₁₇₁3_<173>; = 78889 · 1367259031_<10> · 100846772862529249243_<21> · [4800937936394042450238863211707255915470509783449291318853680497157262486822946994340124951913994694918071768927212961603321944624244547379_<139>] SUBMIT/RESERVE

(47·10¹⁷³+7)/9 =: 5(2)₁₇₂3_<174>; = 13 · 19² · 13523 · 1467413 · 20609003959591540808762917_<26> · 272096140307240062642041726735791412438460775603569651267139181630248279803633508329025219959726190219526814137516270596245369349810617_<135>

(47·10¹⁷⁴+7)/9 =: 5(2)₁₇₃3_<175>; = 3 · 620557364544933209347505543283287271715542928474811138177123479741287954493_<75> · 2805124618925858366785530971753399005552313623794237404028517151752362815052615083829211038292546537_<100> (Ignacio Santos / GGNFS, Msieve snfs / 102.99 hours / Mar 20, 2009)

(47·10¹⁷⁵+7)/9 =: 5(2)₁₇₄3_<176>; = 12923 · 27241 · 87811 · 760937751033908953_<18> · [2220091655556557722238021955408223651818270404206495704208224459091386547919200153582922633088461736496745643168199754913808917433512631854119167_<145>] SUBMIT/RESERVE

(47·10¹⁷⁶+7)/9 =: 5(2)₁₇₅3_<177>; = 181 · 293 · 2371 · [4153149831851290210501754163685356778461480790532842292820520489225816085039196107057906388138872002579314586720144179123648572666187356062817211232930329965182722284861_<169>] SUBMIT/RESERVE

(47·10¹⁷⁷+7)/9 =: 5(2)₁₇₆3_<178>; = 3² · 220276549 · 244788007655622899873_<21> · 10761044753298187718189736745715497775858502363374867180777661102049493739518311195056348887490998336255289615538625563945292618185877244217651689611_<149>

(47·10¹⁷⁸+7)/9 =: 5(2)₁₇₇3_<179>; = 541 · 50957 · 29808894835508917_<17> · 1518154438122713042228632499_<28> · 41859342575422922519561640224888584304625824585903927132528403451619480860473569866353127847961459793942266991926856107001325513_<128>

(47·10¹⁷⁹+7)/9 =: 5(2)₁₇₈3_<180>; = 13 · 233 · 823 · 1353912238410833_<16> · 382406985783566461_<18> · 404613071115041756892738804320023917015400909208843836974881456585313422307793842321139220206298877754119550522379748397065100813015987106713_<141>

(47·10¹⁸⁰+7)/9 =: 5(2)₁₇₉3_<181>; = 3 · 163 · 678232267 · 35188622402018663_<17> · 4015528137612680518153_<22> · [111435381285704948409432995229722372939449348544364872260226194916961597257735207747542497044961492666431237827492935081562416925339_<132>] SUBMIT/RESERVE

(47·10¹⁸¹+7)/9 =: 5(2)₁₈₀3_<182>; = 17 · 41962713493764703_<17> · 73205357067603801419970166224895500061163599509787304483000482120588531522126647971735096923229929030579722719692420340677293178471002795665411899321038441811015873_<164>

(47·10¹⁸²+7)/9 =: 5(2)₁₈₁3_<183>; = 11967730340383_<14> · 321337054954973_<15> · [135794676374306741530391923388636160062652585419733864732843381397648317361401988343586105388722249607140525343886619109613152279706726590879699316240841797_<156>] SUBMIT/RESERVE

(47·10¹⁸³+7)/9 =: 5(2)₁₈₂3_<184>; = 3 · 53 · 199261 · 267861026287_<12> · 70326630422049839393_<20> · 38288593011333558350549_<23> · 228526818278633244252809570134663891979005511876106506412800726335321621944323110862345861999697087382457765798482484613503_<123>

(47·10¹⁸⁴+7)/9 =: 5(2)₁₈₃3_<185>; = 37663 · 135409 · 1588687 · 1021756909_<10> · 15578211305893_<14> · 1203431099965687585292929_<25> · 58503555637351580708422043524842421283873937516824943479_<56> · 5751563245817234489103450552093888364306272232411751491982339846761_<67> (Andreas Tete / Msieve v. 1.42/GGNFS for P56 x P67 / 56 hours on Intel Core 2 Duo @ 2.1 GHz/Windows Vista 32bit / Jun 27, 2009)

(47·10¹⁸⁵+7)/9 =: 5(2)₁₈₄3_<186>; = 13 · 43 · 6245237320979719_<16> · 49171492474030132942746001_<26> · 3042154061211683795107942868134030211037033425739288145996143083269504141951878350997348066751157906587502357141970029286098213509421278196263_<142>

(47·10¹⁸⁶+7)/9 =: 5(2)₁₈₅3_<187>; = 3³ · 23 · 67 · 283 · 432814036485059_<15> · 4840591880169166213085470327_<28> · 211691151514429896660769178295263694791289185531220177711932718691581543566221485464975234795208195314453290424266620986638735069610692831_<138> (Serge Batalov / GMP-ECM 6.2.2 B1=3000000, sigma=3938707912 for P28 / Mar 14, 2009)

(47·10¹⁸⁷+7)/9 =: 5(2)₁₈₆3_<188>; = 15593866501247_<14> · 3348895042678873139256493405119851125186801353539500991262075027134445114262429344559091411328744877500091292943902551680891698045263519138103344276867276753265056367572513009_<175>

(47·10¹⁸⁸+7)/9 =: 5(2)₁₈₇3_<189>; = 709 · 65647 · 55026241 · 71396008810589_<14> · 10394632338172499_<17> · 322634471215550860879121069_<27> · 851589992631368747375790163681944577705196678353515257173688974744528508461503040061894915944980181424654864168749079_<117>

(47·10¹⁸⁹+7)/9 =: 5(2)₁₈₈3_<190>; = 3 · 139 · 18944459 · 998046335023_<12> · [662348232563240216381082202343231208457829705717521226258626529395005147486168435763870879704167491954649806293319867921554044910233756091059227422591489106774101808867_<168>] SUBMIT/RESERVE

(47·10¹⁹⁰+7)/9 =: 5(2)₁₈₉3_<191>; = 14419 · 295837 · 75219844079669_<14> · 21189621711595422727_<20> · 316337110404787322260442929286567_<33> · 24280741272539150477959519296127039083963060012467775306321450629307336526410616631121968182054636945330923198095621_<116> (Serge Batalov / GMP-ECM 6.2.2 B1=3000000, sigma=2071500620 for P33 / Mar 14, 2009)

(47·10¹⁹¹+7)/9 =: 5(2)₁₉₀3_<192>; = 13 · 19 · 157199391414811481308413123039831010800549348549055356443631902777496014250523799578529659_<90> · 13449543220035923396736531400707244067808735111856700550761352132101359599419084915660120869479028651_<101> (Wataru Sakai / Msieve / 619.85 hours / Jun 28, 2009)

(47·10¹⁹²+7)/9 =: 5(2)₁₉₁3_<193>; = 3 · 103 · 397469 · 108419337868579_<15> · [392181276941113783245697940088761885012377582160210123052885746157659802184402234783455877417421130515546557478572397044802566392179083985339257250931649487185259358664997_<171>] SUBMIT/RESERVE

(47·10¹⁹³+7)/9 =: 5(2)₁₉₂3_<194>; = 29 · 61 · 23761 · 37326449201_<11> · 96950219421558950849098121_<26> · 2433677934669052310957101691_<28> · 86827052202846906758072160839_<29> · 4220483980270647555621065653971504476779218067_<46> · 384961155431091348987210023432906809484810914729_<48> (Sinkiti Sibata / Msieve 1.39 for P46 x P48 / 2.72 hours / Mar 15, 2009)

(47·10¹⁹⁴+7)/9 =: 5(2)₁₉₃3_<195>; = 59 · 6701 · 315493 · 14328043 · 37954979057_<11> · 7698717058087612167454728895317881341763976655701276350385234859841422008561676411958950301661287365926610416663779259646054920953702334088143990954733544963317130279_<166>

(47·10¹⁹⁵+7)/9 =: 5(2)₁₉₄3_<196>; = 3² · 88041672141117563537626490623780021076406241_<44> · 6590593970661965054169564166971283042690684645871625375519446864980216578639928402046295639701137885292568800820435274199357754149064405001068545418167_<151> (Robert Backstrom / GGNFS-0.77.1-20050930-k8, Msieve 1.39 snfs / 50.12 hours, 4.88 hours / May 5, 2009)

(47·10¹⁹⁶+7)/9 =: 5(2)₁₉₅3_<197>; = 53 · 207139 · 4756829701741818452801060688007808649703751224769787913104218707775229432776497836356010162733876743437546059648235682248755413461967724546120768436892501609959133468777480496163247432174769_<190>

(47·10¹⁹⁷+7)/9 =: 5(2)₁₉₆3_<198>; = 13 · 17 · 953 · 2028916738489_<13> · 1222097762881900456124040071614192885069981415345309144251236777162767887711362580142019881492048897328015144241675719299705750110545360217009863608460411952443512592720568548840139_<181>

(47·10¹⁹⁸+7)/9 =: 5(2)₁₉₇3_<199>; = 3 · 464621 · 471521 · 716783 · 39803937469_<11> · [278496978110773129049087487148608703858248983564343071365193184303171869196468538697884506427074267190613544757870519365582890292845215719256496013242502195792154049085763_<171>] SUBMIT/RESERVE

(47·10¹⁹⁹+7)/9 =: 5(2)₁₉₈3_<200>; = 26227 · 87071 · 22868264142463544602818739133954838871202702339192642064118232361110993059779460787334318368630635030413640354607812246966838628427566120585767941075504153898468791795701449207046500037783019_<191>

(47·10²⁰⁰+7)/9 =: 5(2)₁₉₉3_<201>; = 25183 · 12095567279_<11> · 10025861663937340802498207203_<29> · 171001505358391935550462821399549467833663689602833978899854126034711108092008679891403329226843056367074814249420135252868216605722856878314446766538566085813_<159>

(47·10²⁰¹+7)/9 =: 5(2)₂₀₀3_<202>; = 3 · 8287 · 30323 · [6927309458930501621495443727206004191764771271125648391319924012774320041476213023866872846329980434343561781810095635505759378570299829519194255889971434424381816930060062115029082819391786041_<193>] SUBMIT/RESERVE

(47·10²⁰²+7)/9 =: 5(2)₂₀₁3_<203>; = 2543 · 172127 · 59927017 · 48192387263_<11> · 1538845822566780104594237_<25> · 26845022886145486741319126711330134158484160333009094631018596970045873381200717697572693249865200085286063401884575209387987838407897984217455694408909_<152>

(47·10²⁰³+7)/9 =: 5(2)₂₀₂3_<204>; = 13 · 83 · 26602008751_<11> · 577614071070766485113792927_<27> · [31497907801407239688765036790269402907393984912387810272225909108181793027070841093434231423048809106005843678729701142213605249324545610501651554789958658424020281_<164>] SUBMIT/RESERVE

(47·10²⁰⁴+7)/9 =: 5(2)₂₀₃3_<205>; = 3² · 32435427185289642780743836726941466290571494203044552823_<56> · 17889294636557302013414769601901685301211205126351365730228586586267267345613074310366048610450327741439568237044298792141368152216691075010970173089_<149> (Robert Backstrom / GGNFS-0.77.1-20050930-k8, Msieve 1.39 snfs / 157.28 hours, 25.09 hours / Mar 24, 2009)

(47·10²⁰⁵+7)/9 =: 5(2)₂₀₄3_<206>; = 6977 · 2596030379_<10> · 900881170353798323_<18> · [3200437463719957930275703053961819318110323353872555864563594813291289396731173142282161181585683854766616262210409398774142479105544968298178035796759357749221773318437406047_<175>] SUBMIT/RESERVE

4. References

A103009 (On-Line Encyclopedia of Integer Sequences)