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Factorizations of 644...443

About 644...443
- First ten terms
- General term
Prime numbers of the form 644...443
Factorizations of 644...443
References

1. About 644...443

First ten terms

63, 643, 6443, 64443, 644443, 6444443, 64444443, 644444443, 6444444443, 64444444443

General term

(58·10ⁿ-13)/9

2. Prime numbers of the form 644...443

Last update

Jan 18, 2009

Searched up to

n≤10000

Difficulty of search

25.34%

Results

(58·10²-13)/9 = 643 is prime. (Makoto Kamada / Dec 6, 2004)
(58·10⁵-13)/9 = 644443 is prime. (Makoto Kamada / Dec 6, 2004)
(58·10⁶-13)/9 = 6444443 is prime. (Makoto Kamada / Dec 6, 2004)
(58·10¹¹-13)/9 = 6(4)₁₀3_<12> is prime. (Makoto Kamada / Dec 6, 2004)
(58·10¹⁵-13)/9 = 6(4)₁₄3_<16> is prime. (Makoto Kamada / Dec 6, 2004)
(58·10⁶⁹-13)/9 = 6(4)₆₈3_<70> is prime. (Makoto Kamada / PPSIQS / Dec 6, 2004)
(58·10⁹⁰-13)/9 = 6(4)₈₉3_<91> is prime. (Makoto Kamada / PPSIQS / Dec 6, 2004)
(58·10¹³⁴-13)/9 = 6(4)₁₃₃3_<135> is prime. (Makoto Kamada / PPSIQS / Jan 5, 2004)
(58·10¹⁸⁹-13)/9 = 6(4)₁₈₈3_<190> is prime. (Makoto Kamada / PPSIQS / Jan 5, 2004)
(58·10²⁴⁵-13)/9 = 6(4)₂₄₄3_<246> is prime. (Makoto Kamada / PPSIQS / Jan 5, 2004)
(58·10²⁶⁷-13)/9 = 6(4)₂₆₆3_<268> is prime. (Makoto Kamada / PPSIQS / Jan 5, 2004)
(58·10²⁷⁰-13)/9 = 6(4)₂₆₉3_<271> is prime. (Makoto Kamada / PPSIQS / Jan 5, 2004)
(58·10⁴⁷⁰-13)/9 = 6(4)₄₆₉3_<471> is prime. (searched by Makoto Kamada / PFGW / Dec 23, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / May 31, 2006)
(58·10¹⁵⁷⁵-13)/9 = 6(4)₁₅₇₄3_<1576> is prime. (searched by Makoto Kamada / PFGW / Dec 23, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Aug 6, 2006)
(58·10²²⁹⁵-13)/9 = 6(4)₂₂₉₄3_<2296> is PRP. (Makoto Kamada / PFGW / Dec 23, 2004)
(58·10²⁵⁰⁷-13)/9 = 6(4)₂₅₀₆3_<2508> is PRP. (Makoto Kamada / PFGW / Dec 23, 2004)
(58·10³⁵¹²-13)/9 = 6(4)₃₅₁₁3_<3513> is PRP. (Makoto Kamada / PFGW / Dec 23, 2004)
(58·10³⁸²⁵-13)/9 = 6(4)₃₈₂₄3_<3826> is PRP. (Makoto Kamada / PFGW / Dec 23, 2004)
(58·10⁶⁸⁵⁷-13)/9 = 6(4)₆₈₅₆3_<6858> is PRP. (Makoto Kamada / PFGW / Dec 24, 2004)

3. Factorizations of 644...443

Last update

Jul 6, 2009

Completed up to

n≤100 / Jan 5, 2005
n≤150 / Jul 1, 2009

Range

n≤205

Terms which have not been factored yet

n=176, 177, 178, 181, 184, 187, 188, 193, 194, 196, 197, 199, 200, 202, 203, 204, 205 (17/205)

Results

(58·10¹-13)/9 =: 63; = 3² · 7

(58·10²-13)/9 =: 643; = definitely prime number

(58·10³-13)/9 =: 6443; = 17 · 379

(58·10⁴-13)/9 =: 64443; = 3 · 21481

(58·10⁵-13)/9 =: 644443; = definitely prime number

(58·10⁶-13)/9 =: 6444443; = definitely prime number

(58·10⁷-13)/9 =: 64444443; = 3 · 7 · 31 · 98993

(58·10⁸-13)/9 =: 644444443; = 61 · 10564663

(58·10⁹-13)/9 =: 6444444443_<10>; = 43 · 149870801

(58·10¹⁰-13)/9 =: 64444444443_<11>; = 3² · 7160493827_<10>

(58·10¹¹-13)/9 =: 644444444443_<12>; = definitely prime number

(58·10¹²-13)/9 =: 6444444444443_<13>; = 109 · 151883 · 389269

(58·10¹³-13)/9 =: 64444444444443_<14>; = 3 · 7 · 19 · 229 · 705305233

(58·10¹⁴-13)/9 =: 644444444444443_<15>; = 83 · 102677 · 75619573

(58·10¹⁵-13)/9 =: 6444444444444443_<16>; = definitely prime number

(58·10¹⁶-13)/9 =: 64444444444444443_<17>; = 3 · 193 · 907 · 1231 · 1669 · 59729

(58·10¹⁷-13)/9 =: 644444444444444443_<18>; = 718684541 · 896700023

(58·10¹⁸-13)/9 =: 6444444444444444443_<19>; = 661 · 7328771 · 1330310053_<10>

(58·10¹⁹-13)/9 =: 64444444444444444443_<20>; = 3³ · 7 · 17 · 67 · 443 · 671141 · 1006891

(58·10²⁰-13)/9 =: 644444444444444444443_<21>; = 23 · 1619 · 4157 · 4163233551227_<13>

(58·10²¹-13)/9 =: 6444444444444444444443_<22>; = 968307859 · 6655367282777_<13>

(58·10²²-13)/9 =: 64444444444444444444443_<23>; = 3 · 31 · 47 · 4271 · 3452034331148023_<16>

(58·10²³-13)/9 =: 644444444444444444444443_<24>; = 8481715153_<10> · 75980439429931_<14>

(58·10²⁴-13)/9 =: 6444444444444444444444443_<25>; = 30941 · 61879 · 3365951482544737_<16>

(58·10²⁵-13)/9 =: 64444444444444444444444443_<26>; = 3 · 7² · 438397581254724111866969_<24>

(58·10²⁶-13)/9 =: 644444444444444444444444443_<27>; = 89 · 197 · 1306516217_<10> · 28132896378863_<14>

(58·10²⁷-13)/9 =: 6444444444444444444444444443_<28>; = 9473 · 3041429 · 12818747 · 17449166557_<11>

(58·10²⁸-13)/9 =: 64444444444444444444444444443_<29>; = 3² · 3338682287_<10> · 2144706567330973421_<19>

(58·10²⁹-13)/9 =: 644444444444444444444444444443_<30>; = 150260313267139_<15> · 4288853326817737_<16>

(58·10³⁰-13)/9 =: 6444444444444444444444444444443_<31>; = 43 · 149870801033591731266149870801_<30>

(58·10³¹-13)/9 =: 64444444444444444444444444444443_<32>; = 3 · 7 · 19 · 113 · 1429335383690297523553229189_<28>

(58·10³²-13)/9 =: 644444444444444444444444444444443_<33>; = 17851 · 53201 · 678583254802560463891793_<24>

(58·10³³-13)/9 =: 6444444444444444444444444444444443_<34>; = 8070521 · 36569912779_<11> · 21835341454942777_<17>

(58·10³⁴-13)/9 =: 64444444444444444444444444444444443_<35>; = 3 · 1823 · 176601557557_<12> · 66724147107259553371_<20>

(58·10³⁵-13)/9 =: 644444444444444444444444444444444443_<36>; = 17 · 1201 · 4264627 · 20006209 · 369953978167292153_<18>

(58·10³⁶-13)/9 =: 6444444444444444444444444444444444443_<37>; = 149 · 5505343313_<10> · 1555860184181_<13> · 5049451928419_<13>

(58·10³⁷-13)/9 =: 64444444444444444444444444444444444443_<38>; = 3² · 7 · 31 · 5179 · 12258811 · 519743396806567266856499_<24>

(58·10³⁸-13)/9 =: 644444444444444444444444444444444444443_<39>; = 131 · 2339 · 2103216434388168899883634111414627_<34>

(58·10³⁹-13)/9 =: 6444444444444444444444444444444444444443_<40>; = 94308391 · 339763877 · 1686042817_<10> · 119285964299497_<15>

(58·10⁴⁰-13)/9 =: 64444444444444444444444444444444444444443_<41>; = 3 · 467 · 11565280561_<11> · 3977325879761957791254284963_<28>

(58·10⁴¹-13)/9 =: 644444444444444444444444444444444444444443_<42>; = 32016343 · 1341764683766123_<16> · 15001593852097568087_<20>

(58·10⁴²-13)/9 =: 6444444444444444444444444444444444444444443_<43>; = 23² · 227 · 829 · 1451 · 42443 · 25389073780397_<14> · 41402739748169_<14>

(58·10⁴³-13)/9 =: 64444444444444444444444444444444444444444443_<44>; = 3 · 7 · 13577 · 209567 · 1078547992909666501750369045020137_<34>

(58·10⁴⁴-13)/9 =: 644444444444444444444444444444444444444444443_<45>; = 787 · 8861 · 92411924624436743344505138365905111149_<38>

(58·10⁴⁵-13)/9 =: 6444444444444444444444444444444444444444444443_<46>; = 56929 · 239263 · 3255891203_<10> · 9638549801_<10> · 15076301192423903_<17>

(58·10⁴⁶-13)/9 =: 64444444444444444444444444444444444444444444443_<47>; = 3⁴ · 97 · 117773 · 1777586926169_<13> · 39178891631351681772498127_<26>

(58·10⁴⁷-13)/9 =: 644444444444444444444444444444444444444444444443_<48>; = 74074523 · 8699947273969546107565815097377602343041_<40>

(58·10⁴⁸-13)/9 =: 6444444444444444444444444444444444444444444444443_<49>; = 2784371 · 2314506380236126739017338007199631243266233_<43>

(58·10⁴⁹-13)/9 =: 64444444444444444444444444444444444444444444444443_<50>; = 3 · 7 · 19 · 568133 · 19798588880341_<14> · 14359136859649319676641129069_<29>

(58·10⁵⁰-13)/9 =: 644444444444444444444444444444444444444444444444443_<51>; = 1049 · 33203 · 19123277 · 144701130883_<12> · 6686493541038771930205559_<25>

(58·10⁵¹-13)/9 =: 6444444444444444444444444444444444444444444444444443_<52>; = 17² · 43 · 518584086621424675661418238065860179000920933809_<48>

(58·10⁵²-13)/9 =: 64444444444444444444444444444444444444444444444444443_<53>; = 3 · 31 · 59 · 67 · 2957 · 23189 · 6853807 · 373001437383533192944677118414297_<33>

(58·10⁵³-13)/9 =: 644444444444444444444444444444444444444444444444444443_<54>; = 3803 · 930509 · 10405890555337614313_<20> · 17500857428162373922343293_<26>

(58·10⁵⁴-13)/9 =: 6444444444444444444444444444444444444444444444444444443_<55>; = 40499 · 468593 · 339582567570142529923660302550406015657671049_<45>

(58·10⁵⁵-13)/9 =: 64444444444444444444444444444444444444444444444444444443_<56>; = 3² · 7 · 83 · 4457 · 29198669 · 1403855017_<10> · 67458844036420314425993627451347_<32>

(58·10⁵⁶-13)/9 =: 644444444444444444444444444444444444444444444444444444443_<57>; = 25373 · 709817 · 26568864359_<11> · 1346772613958188467795875278640433497_<37>

(58·10⁵⁷-13)/9 =: 6444444444444444444444444444444444444444444444444444444443_<58>; = 1231 · 111708867337841_<15> · 397694930199319_<15> · 117839184463310348291384707_<27>

(58·10⁵⁸-13)/9 =: 64444444444444444444444444444444444444444444444444444444443_<59>; = 3 · 21481481481481481481481481481481481481481481481481481481481_<59>

(58·10⁵⁹-13)/9 =: 644444444444444444444444444444444444444444444444444444444443_<60>; = 548189 · 53113518267037_<14> · 46067056432546512991_<20> · 480462652219131191261_<21>

(58·10⁶⁰-13)/9 =: 6444444444444444444444444444444444444444444444444444444444443_<61>; = 4828956689_<10> · 100833777046931_<15> · 13235066828199780859048905241798731977_<38>

(58·10⁶¹-13)/9 =: 64444444444444444444444444444444444444444444444444444444444443_<62>; = 3 · 7 · 104971 · 25447519 · 4898620324933_<13> · 45637680685183423_<17> · 5138709442373028713_<19>

(58·10⁶²-13)/9 =: 644444444444444444444444444444444444444444444444444444444444443_<63>; = 157 · 13289366594772741644369563_<26> · 308874140470628877529533810934641973_<36>

(58·10⁶³-13)/9 =: 6444444444444444444444444444444444444444444444444444444444444443_<64>; = 862118995769_<12> · 7475121736177586284737735759413496793972699105045747_<52>

(58·10⁶⁴-13)/9 =: 64444444444444444444444444444444444444444444444444444444444444443_<65>; = 3² · 23 · 99911041 · 80048798573611604839_<20> · 38926632635715137388329044080192451_<35>

(58·10⁶⁵-13)/9 =: 644444444444444444444444444444444444444444444444444444444444444443_<66>; = 273107 · 267867930359_<12> · 8809107914314059030261696395158867684601570147311_<49>

(58·10⁶⁶-13)/9 =: 6444444444444444444444444444444444444444444444444444444444444444443_<67>; = 12521989 · 273064244923106488339_<21> · 1884722125367755886043581757030347022533_<40>

(58·10⁶⁷-13)/9 =: 64444444444444444444444444444444444444444444444444444444444444444443_<68>; = 3 · 7² · 17 · 19 · 31 · 97098299 · 142611943 · 324465035894040369619_<21> · 9744700819744976705424811_<25>

(58·10⁶⁸-13)/9 =: 644444444444444444444444444444444444444444444444444444444444444444443_<69>; = 47 · 61 · 479 · 8677 · 41633497 · 2020719997759_<13> · 1451226883356637_<16> · 442963900883298696932113_<24>

(58·10⁶⁹-13)/9 =: 6444444444444444444444444444444444444444444444444444444444444444444443_<70>; = definitely prime number

(58·10⁷⁰-13)/9 =: 64444444444444444444444444444444444444444444444444444444444444444444443_<71>; = 3 · 89 · 313 · 1021 · 2252261117_<10> · 7424206841_<10> · 9509036977866007_<16> · 4750056819908088266280184687_<28>

(58·10⁷¹-13)/9 =: 644444444444444444444444444444444444444444444444444444444444444444444443_<72>; = 211800367 · 3306543679516143317766865479379_<31> · 920204836845469383244120509568951_<33>

(58·10⁷²-13)/9 =: 6444444444444444444444444444444444444444444444444444444444444444444444443_<73>; = 43 · 70102817 · 494820673 · 4645087054884037_<16> · 7079185915520497_<16> · 131388255786995517073549_<24>

(58·10⁷³-13)/9 =: 64444444444444444444444444444444444444444444444444444444444444444444444443_<74>; = 3³ · 7 · 2539 · 1325273 · 101334103339369893891905465857209041384262368205295807788743021_<63>

(58·10⁷⁴-13)/9 =: 644444444444444444444444444444444444444444444444444444444444444444444444443_<75>; = 1039 · 2939 · 2796703374163_<13> · 75461241171589150211447023851532766362500099155198333141_<56>

(58·10⁷⁵-13)/9 =: 6444444444444444444444444444444444444444444444444444444444444444444444444443_<76>; = 328865979613_<12> · 658197147769945091213_<21> · 29772173350424767323214908788237091586943347_<44>

(58·10⁷⁶-13)/9 =: 64444444444444444444444444444444444444444444444444444444444444444444444444443_<77>; = 3 · 65838972523_<11> · 145440774298867_<15> · 372509449219154843770697_<24> · 6022235200293579699768373553_<28>

(58·10⁷⁷-13)/9 =: 644444444444444444444444444444444444444444444444444444444444444444444444444443_<78>; = 1343542529676451871131_<22> · 479660621238121684870058291103211650422296854045297639553_<57>

(58·10⁷⁸-13)/9 =: 6444444444444444444444444444444444444444444444444444444444444444444444444444443_<79>; = 269 · 9533 · 2513064360054876659884425903228910743016508276452504621763665968164760659_<73>

(58·10⁷⁹-13)/9 =: 64444444444444444444444444444444444444444444444444444444444444444444444444444443_<80>; = 3 · 7 · 269189 · 296377 · 1264680013_<10> · 24716910331_<11> · 28105619030527_<14> · 43782080019341953087074536555415931_<35>

(58·10⁸⁰-13)/9 =: 644444444444444444444444444444444444444444444444444444444444444444444444444444443_<81>; = 57104809 · 720645501786995494454544388445387_<33> · 15659977030086482754075356761244289254921_<41> (Makoto Kamada / msieve 0.81 / 7.4 minutes)

(58·10⁸¹-13)/9 =: 6444444444444444444444444444444444444444444444444444444444444444444444444444444443_<82>; = 15329 · 535083631 · 785687772641402852652336783391867810007603923194877249817110404312757_<69>

(58·10⁸²-13)/9 =: 64444444444444444444444444444444444444444444444444444444444444444444444444444444443_<83>; = 3² · 31 · 5304517 · 38395971488573294735687951047_<29> · 1134095885321563177915351922840984569459467583_<46>

(58·10⁸³-13)/9 =: 644444444444444444444444444444444444444444444444444444444444444444444444444444444443_<84>; = 17 · 461 · 9461 · 9181442537_<10> · 9370941154694866874389637_<25> · 101019325324345652333449516585152327576071_<42>

(58·10⁸⁴-13)/9 =: 6444444444444444444444444444444444444444444444444444444444444444444444444444444444443_<85>; = 15451 · 2443631273323_<13> · 2615555367857_<13> · 317080930339793_<15> · 205806541880477311354712445773721003509891_<42>

(58·10⁸⁵-13)/9 =: 64444444444444444444444444444444444444444444444444444444444444444444444444444444444443_<86>; = 3 · 7 · 19² · 67 · 12161 · 20724191 · 503427934302964160584900190337750186653091328228009387490833937117059_<69>

(58·10⁸⁶-13)/9 =: 644444444444444444444444444444444444444444444444444444444444444444444444444444444444443_<87>; = 23 · 199 · 169501 · 6066944231242934843_<19> · 19968783157666680311059_<23> · 6856629820266882184051815726541198807_<37>

(58·10⁸⁷-13)/9 =: 6444444444444444444444444444444444444444444444444444444444444444444444444444444444444443_<88>; = 1476646169_<10> · 4364244176930136636168284701955871491137457753729793101467386426033144331710547_<79>

(58·10⁸⁸-13)/9 =: 64444444444444444444444444444444444444444444444444444444444444444444444444444444444444443_<89>; = 3 · 404550147073389923_<18> · 53099675372468719915138248131698043646344956584642115792622004957283747_<71>

(58·10⁸⁹-13)/9 =: 644444444444444444444444444444444444444444444444444444444444444444444444444444444444444443_<90>; = 6968789263_<10> · 39531668989_<11> · 2339284279598368472733202857712320588557558885994337717803771829770649_<70>

(58·10⁹⁰-13)/9 =: 6444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443_<91>; = definitely prime number

(58·10⁹¹-13)/9 =: 64444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443_<92>; = 3² · 7 · 167 · 32237 · 121453 · 1198917001_<10> · 3170539573_<10> · 3386047681780905263_<19> · 332620305509639545999_<21> · 365427707246504089303_<21>

(58·10⁹²-13)/9 =: 644444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443_<93>; = 2617 · 8641 · 17207 · 824402225589614122483_<21> · 2008969956652059346220470682467844925254676772681978685948999_<61>

(58·10⁹³-13)/9 =: 6444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443_<94>; = 43 · 714828703 · 209659741424221644980797407628766680527748967392543320398441339798677335755489005967_<84>

(58·10⁹⁴-13)/9 =: 64444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443_<95>; = 3 · 576683 · 37250068896571394477523147867167025005907026011658886219086537112211529525721204685210907_<89>

(58·10⁹⁵-13)/9 =: 644444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443_<96>; = 3391 · 40633716844913_<14> · 4677040648860576104284924216997071475340191109490837012467227936599471291685621_<79>

(58·10⁹⁶-13)/9 =: 6444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443_<97>; = 83 · 63439 · 8326676363_<10> · 541480509075936148300243_<24> · 271454190063398065785214725022949092005182510271003861671_<57>

(58·10⁹⁷-13)/9 =: 64444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443_<98>; = 3 · 7 · 31 · 7537 · 13134271224467118272731013318309538676160117907711499754196643093140801221795199890360538689_<92>

(58·10⁹⁸-13)/9 =: 644444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443_<99>; = 1223 · 1231 · 1783 · 985871 · 207648768209_<12> · 1059538649550911316636951850090649599_<37> · 1106836255983117476333497713083334197_<37> (Makoto Kamada / msieve 0.83)

(58·10⁹⁹-13)/9 =: 6444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443_<100>; = 17 · 170627 · 2221717356105783011530981216490612803657529011319305180114051477420973800934354725751784144377_<94>

(58·10¹⁰⁰-13)/9 =: 64444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443_<101>; = 3³ · 56190332695687419476898563708582292673451_<41> · 42477614230309633686346684979454291789399031330335647981059_<59> (Makoto Kamada / GGNFS-0.70.8 / 0.48 hours)

(58·10¹⁰¹-13)/9 =: 6(4)₁₀₀3_<102>; = 1069 · 378980653168484429716330805966707908641167_<42> · 1590709002596225501218237944810237612242622890947590032041_<58> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / 0.35 hours / Jun 28, 2009)

(58·10¹⁰²-13)/9 =: 6(4)₁₀₁3_<103>; = 35153 · 70663 · 3794789 · 683665060704737594291523403840573546737453278400366300475016443211242931893673694570233_<87>

(58·10¹⁰³-13)/9 =: 6(4)₁₀₂3_<104>; = 3 · 7 · 19 · 161514898357003620161514898357003620161514898357003620161514898357003620161514898357003620161514898357_<102>

(58·10¹⁰⁴-13)/9 =: 6(4)₁₀₃3_<105>; = 390077 · 6401117 · 3385218704166373499_<19> · 76241712586101285203086639444326085212045866234066577810274270102400119673_<74>

(58·10¹⁰⁵-13)/9 =: 6(4)₁₀₄3_<106>; = 433² · 3181 · 771337181 · 46598150021862676609069_<23> · 183010494641924218613244619_<27> · 1642695569952395381586311554848761214397_<40>

(58·10¹⁰⁶-13)/9 =: 6(4)₁₀₅3_<107>; = 3 · 9413 · 22465925173_<11> · 202052902127387357_<18> · 502743853875033434039426913233088112838451741278481730603892371860623374517_<75>

(58·10¹⁰⁷-13)/9 =: 6(4)₁₀₆3_<108>; = 4139 · 102745206874643_<15> · 11190127866077628124302319110774327373_<38> · 135423314094976202055147330944652746602006549762604983_<54> (Makoto Kamada / Msieve 1.41 for P38 x P54 / Jun 28, 2009)

(58·10¹⁰⁸-13)/9 =: 6(4)₁₀₇3_<109>; = 23 · 10303 · 8596589 · 25678815949_<11> · 353305260594943927559_<21> · 348692564023580371639815329681936387605005279780607033588770271453_<66>

(58·10¹⁰⁹-13)/9 =: 6(4)₁₀₈3_<110>; = 3² · 7² · 643 · 8849344349_<10> · 332763572561410097_<18> · 77177205396106307419872332075563947954819472681479217658013509122466752364437_<77>

(58·10¹¹⁰-13)/9 =: 6(4)₁₀₉3_<111>; = 59 · 10922787193973634651600753295668549905838041431261770244821092278719397363465160075329566854990583804143126177_<110>

(58·10¹¹¹-13)/9 =: 6(4)₁₁₀3_<112>; = 571 · 151597 · 7472539190505350134637934341_<28> · 9963010028444546009570469527723926660219125002927410875108328200872723905729_<76>

(58·10¹¹²-13)/9 =: 6(4)₁₁₁3_<113>; = 3 · 31 · 652436120450225810366755666771025792484664531_<45> · 1062097872590924024217052162548785136776202179702201158841319923821_<67> (Serge Batalov / Msieve 1.42 snfs / 0.71 hours / Jun 28, 2009)

(58·10¹¹³-13)/9 =: 6(4)₁₁₂3_<114>; = 683 · 893939 · 70106951879117_<14> · 10536946997692334674879_<23> · 1428831496482405354906861258615213007462111560976763123426085955712873_<70>

(58·10¹¹⁴-13)/9 =: 6(4)₁₁₃3_<115>; = 43 · 47 · 89 · 563 · 16090520573459_<14> · 11253044703352173797806298790102967343_<38> · 351463824057779343280271448782487763478579276272297536337_<57> (Sinkiti Sibata / Msieve 1.41 for P38 x P57 / 3.82 hours / Jun 28, 2009)

(58·10¹¹⁵-13)/9 =: 6(4)₁₁₄3_<116>; = 3 · 7 · 17 · 2851 · 12309053 · 218586376722300465766553_<24> · 279607497709778344676227943108939_<33> · 84163445199744878822956259637520762603093884899_<47> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=3918532188 for P33 / Jun 23, 2009)

(58·10¹¹⁶-13)/9 =: 6(4)₁₁₅3_<117>; = 36666873968480742387982057101824145634673636068789484339_<56> · 17575658208507661253565689505378100610551179018660768260310137_<62> (Serge Batalov / Msieve 1.42 snfs / 0.72 hours / Jun 28, 2009)

(58·10¹¹⁷-13)/9 =: 6(4)₁₁₆3_<118>; = 675790396195456442895915104432949740666991523_<45> · 9536158668020699116745173193884730385667768369512984877372857570707904041_<73> (Sinkiti Sibata / Msieve 1.40 snfs / 1.62 hours / Jun 29, 2009)

(58·10¹¹⁸-13)/9 =: 6(4)₁₁₇3_<119>; = 3² · 67 · 3251 · 6139941523594313843501_<22> · 30673043980928719174844707_<26> · 174554114477983224623013395815884397864386395184688297794957565133_<66>

(58·10¹¹⁹-13)/9 =: 6(4)₁₁₈3_<120>; = 877 · 2153 · 16433 · 124229663974013057_<18> · 31626202427768372681682563838197_<32> · 5286310259872520471610188001300077202533865033368128652932579_<61> (Serge Batalov / GMP-ECM 6.2.3 B1=3000000, sigma=1236900711 for P32 / Jun 28, 2009)

(58·10¹²⁰-13)/9 =: 6(4)₁₁₉3_<121>; = 109 · 709 · 769 · 2301479881_<10> · 275962709137147_<15> · 2465500544373507401951167631_<28> · 69250629555472416578540266285647099620322948541041267727793911_<62>

(58·10¹²¹-13)/9 =: 6(4)₁₂₀3_<122>; = 3 · 7 · 19 · 5147 · 33390509 · 347724400182679728743281_<24> · 1163659797805919919662173403_<28> · 1440377986805621132997728761_<28> · 1612492517752740176205166819433_<31>

(58·10¹²²-13)/9 =: 6(4)₁₂₁3_<123>; = 63694693 · 20739698165441745472143977056603_<32> · 487842692297273949867459723857663010869242116718559328343030013911282591596902649517_<84> (Serge Batalov / Msieve 1.42 snfs / 1.07 hours / Jun 28, 2009)

(58·10¹²³-13)/9 =: 6(4)₁₂₂3_<124>; = 263 · 858709 · 28535383981668991343541830545561369408806812485224113730000586849851158182578698105705052604431802049206905175432729_<116>

(58·10¹²⁴-13)/9 =: 6(4)₁₂₃3_<125>; = 3 · 197 · 7854445913557967566783_<22> · 28910432312928593782792719133_<29> · 480206311511432972943712552773310514675960930185643420488703841580953607_<72>

(58·10¹²⁵-13)/9 =: 6(4)₁₂₄3_<126>; = 22338763 · 2147254237_<10> · 585087849218863_<15> · 81760094747664181467038458109479_<32> · 280853881333089948160408460882636545210709373871189179521317789_<63> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=2966004148 for P32 / Jun 23, 2009)

(58·10¹²⁶-13)/9 =: 6(4)₁₂₅3_<127>; = 586087 · 4517281081_<10> · 14274103657159_<14> · 51333098357001493_<17> · 10401869908212308764204952989295785811_<38> · 319365896911710306057869734972829766408218317_<45> (Makoto Kamada / Msieve 1.41 for P38 x P45 / Jun 28, 2009)

(58·10¹²⁷-13)/9 =: 6(4)₁₂₆3_<128>; = 3⁴ · 7 · 31 · 337 · 211151 · 814031 · 33582234718103_<14> · 1884808150691054287637835065180521389956490571576728396202420359279848680784677292617578162078949_<97>

(58·10¹²⁸-13)/9 =: 6(4)₁₂₇3_<129>; = 61 · 154046456857541_<15> · 14261505825626082595820373781089104840019592878166331551_<56> · 4808820337208844827360136163259599581637949123534929470293_<58> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs / 1.58 hours on Core 2 Quad Q6700 / Jun 28, 2009)

(58·10¹²⁹-13)/9 =: 6(4)₁₂₈3_<130>; = 541 · 11912096939823372355719860340932429657013760525775313205997124666255904703224481413021154241117272540562743889915793797494352023_<128>

(58·10¹³⁰-13)/9 =: 6(4)₁₂₉3_<131>; = 3 · 23 · 233 · 191051625186109_<15> · 9787483305184856962017021595435426277_<37> · 2143673808252724180424039293341153908233557786918513112730116683447368346263_<76> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / 2.47 hours / Jun 29, 2009)

(58·10¹³¹-13)/9 =: 6(4)₁₃₀3_<132>; = 17 · 36629 · 1034931249338670009851474875170339869637918596233528310811980292767775524125764131673945980514385812020440962792972531318714751_<127>

(58·10¹³²-13)/9 =: 6(4)₁₃₁3_<133>; = 141734166976057551120885689_<27> · 45468531561151888217297097768618412840558502826496748067576655138691718682657064114753427202591785624905587_<107>

(58·10¹³³-13)/9 =: 6(4)₁₃₂3_<134>; = 3 · 7 · 1489 · 68003251 · 16251891980953498210510658603_<29> · 3332366710852869308417885511991106085178367213_<46> · 559609530053519556611176759097123548994837054123_<48> (Sinkiti Sibata / Msieve 1.41 for P46 x P48 / 2.92 hours / Jun 29, 2009)

(58·10¹³⁴-13)/9 =: 6(4)₁₃₃3_<135>; = definitely prime number

(58·10¹³⁵-13)/9 =: 6(4)₁₃₄3_<136>; = 43 · 1605169 · 16684801071616165742858411059235412368987_<41> · 5595968120588461964689090820225357668914533447115863619998466725214360596278094821062067_<88> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs / 2.32 hours on Core 2 Quad Q6700 / Jun 29, 2009)

(58·10¹³⁶-13)/9 =: 6(4)₁₃₅3_<137>; = 3² · 58871741 · 235727953664055447319411949797137297749012365291_<48> · 515970662989061743281594639447232372573905136516236978628437287176925324434133117_<81> (Sinkiti Sibata / Msieve 1.40 snfs / 5.51 hours / Jun 29, 2009)

(58·10¹³⁷-13)/9 =: 6(4)₁₃₆3_<138>; = 83 · 7764390896921017402945113788487282463186077643908969210174029451137884872824631860776439089692101740294511378848728246318607764390896921_<136>

(58·10¹³⁸-13)/9 =: 6(4)₁₃₇3_<139>; = 5419 · 474547 · 26341003931023_<14> · 173766675589963_<15> · 7983383344960547285100986579_<28> · 557977809819477249484147281710611_<33> · 122909194852861452177553366820454662798071_<42> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=618995024 for P33 / Jun 23, 2009)

(58·10¹³⁹-13)/9 =: 6(4)₁₃₈3_<140>; = 3 · 7 · 19 · 1231 · 1060570349_<10> · 1193524663_<10> · 83228320831_<11> · 32502218758975974264690934359203256203943891833157149_<53> · 38317707245925041958237144145989843140569750883793499_<53> (Sinkiti Sibata / Msieve 1.40 snfs / 7.24 hours / Jun 29, 2009)

(58·10¹⁴⁰-13)/9 =: 6(4)₁₃₉3_<141>; = 157 · 2383 · 16252270547_<11> · 1492167039244723_<16> · 7942613798778193_<16> · 8942662849590825379163112838489027476022153256568863728091669657942529293763915115090584127841_<94>

(58·10¹⁴¹-13)/9 =: 6(4)₁₄₀3_<142>; = 439 · 3083 · 5531 · 297691 · 120686142884170765021_<21> · 44671237448007050301716904523_<29> · 536404836594779201210885696729897207146989810269196135430698329060421809691473_<78> (Serge Batalov / GMP-ECM B1=3000000, sigma=288397723 for P29 / Jun 28, 2009)

(58·10¹⁴²-13)/9 =: 6(4)₁₄₁3_<143>; = 3 · 31 · 97 · 359 · 8147 · 165135827710651471951_<21> · 14790992907464144686776396359323684051788920964723517083410728014658502152435732948596041944013621481188729536421_<113>

(58·10¹⁴³-13)/9 =: 6(4)₁₄₂3_<144>; = 113 · 223 · 77023 · 1652337627292589379706191532069268484497360291057948743864303033_<64> · 200947660644812862508216274233245205166132877847788787856034118266055523_<72> (Sinkiti Sibata / Msieve 1.40 snfs / 10.20 hours / Jun 30, 2009)

(58·10¹⁴⁴-13)/9 =: 6(4)₁₄₃3_<145>; = 970493 · 2093179992515501466190084387420835861_<37> · 3172389486725938777025473977276200607103207453371670538718534881764544597885610351738781046647527068891_<103> (Sinkiti Sibata / Msieve 1.40 snfs / 10.37 hours / Jun 29, 2009)

(58·10¹⁴⁵-13)/9 =: 6(4)₁₄₄3_<146>; = 3² · 7 · 701 · 745210479281_<12> · 8730110436289447812154290169607_<31> · 81209611999697626708180466005454678658771007_<44> · 2761981658215742112136342325393296828876923189500830369_<55> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=4059048855 for P31 / Jun 24, 2009) (Robert Backstrom / GGNFS-0.77.1-20051202-athlon gnfs for P44 x P55 / 4.02 hours / Jun 29, 2009)

(58·10¹⁴⁶-13)/9 =: 6(4)₁₄₅3_<147>; = 950315131 · 343293131891_<12> · 1975389427959124436748971822138925006135419437956375651103035956880881242540024921718776174522259436951223510880235167722446683_<127>

(58·10¹⁴⁷-13)/9 =: 6(4)₁₄₆3_<148>; = 17 · 3963777162971_<13> · 334646085665334337_<18> · 1724643839436206727262081314038604977199883913024927_<52> · 165707498267325136214000770286795308021181237711990781533096525551_<66> (Sinkiti Sibata / Msieve 1.40 snfs / 14.66 hours / Jul 1, 2009)

(58·10¹⁴⁸-13)/9 =: 6(4)₁₄₇3_<149>; = 3 · 7639 · 40879 · 284900446663187977_<18> · 643045507714255511_<18> · 375485021561317141899956314384138045129995739083977942537571057122818791422688421659856376922105288381983_<105>

(58·10¹⁴⁹-13)/9 =: 6(4)₁₄₈3_<150>; = 17680101259_<11> · 612631184541141230147_<21> · 5449278379117159731544956271485792375419509366641329_<52> · 10918491534763876929867522805580453713263965653671863520590735670379_<68> (Sinkiti Sibata / Msieve 1.40 snfs / 16.99 hours / Jul 1, 2009)

(58·10¹⁵⁰-13)/9 =: 6(4)₁₄₉3_<151>; = 91520629 · 44412318343_<11> · 5279210260962477050762476446083_<31> · 9080338989895340087399783131537142371_<37> · 33074403639492669396853934308598204613343777969269022112121857233_<65> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=779272536 for P31 / Jun 24, 2009) (Serge Batalov / GMP-ECM B1=3000000, sigma=1156783142 for P37 / Jun 28, 2009)

(58·10¹⁵¹-13)/9 =: 6(4)₁₅₀3_<152>; = 3 · 7³ · 67 · 653 · 442887622831_<12> · 3600286149983158729_<19> · 7866941036594366477_<19> · 183486557407855664329_<21> · 238557818286082033018083276189839_<33> · 2607040394111875290557373778195523795732509_<43> (Makoto Kamada / Msieve 1.41 for P33 x P43 / Jun 28, 2009)

(58·10¹⁵²-13)/9 =: 6(4)₁₅₁3_<153>; = 23 · 438029 · 948064512819181385267115114017_<30> · 67470960572309983836049285905639014243188818084314786940214577779949488578530144162487095424054615142502448401001137_<116> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=1524075155 for P30 / Jun 24, 2009)

(58·10¹⁵³-13)/9 =: 6(4)₁₅₂3_<154>; = 4217457726674429762089_<22> · 12005890104573819850243_<23> · 127274201850493902920177062228964159535242053041943163989205635518714204767131736592856275525914198669018365409_<111>

(58·10¹⁵⁴-13)/9 =: 6(4)₁₅₃3_<155>; = 3³ · 691 · 1160320685135427611_<19> · 2976909541554316140550410351587963605619222884371534359065354181046032963323467346706246451207723717367612412131051332144766665291809_<133>

(58·10¹⁵⁵-13)/9 =: 6(4)₁₅₄3_<156>; = 227 · 42416069 · 2974192430852304989290612183_<28> · 23571159999526622109100196347300471721_<38> · 954726968014034137402089586947817032218884506562192209056620458034761171420831227_<81> (Serge Batalov / GMP-ECM B1=3000000, sigma=697347838 for P28 / Jun 28, 2009) (Sinkiti Sibata / Msieve 1.40 snfs / 25.30 hours / Jun 30, 2009)

(58·10¹⁵⁶-13)/9 =: 6(4)₁₅₅3_<157>; = 43 · 276379067 · 26961738833_<11> · 20112404020210361827126729913132035105556162467179533997758252405090734336949373548328327320849548249022789547235553963062634909404879091_<137>

(58·10¹⁵⁷-13)/9 =: 6(4)₁₅₆3_<158>; = 3 · 7 · 19 · 31 · 36055288145700793_<17> · 2162553241165431253_<19> · 342176223870915625273_<21> · 355417166029439885557553_<24> · 49079771567737580201998573_<26> · 11195006597192685263892785744715147491462125327739_<50>

(58·10¹⁵⁸-13)/9 =: 6(4)₁₅₇3_<159>; = 89² · 11111874869743817861_<20> · 7321804501194997617503887737593842416247529176475028120183587229520297199836402400196984014982743326379985799715783679445492103706783503_<136>

(58·10¹⁵⁹-13)/9 =: 6(4)₁₅₈3_<160>; = 839 · 13463 · 532747306283_<12> · 1070928348778653921558103412492230794412640526314744209076428045666659393526699757289040972741891899282971111289069413408591986607904889331953_<142>

(58·10¹⁶⁰-13)/9 =: 6(4)₁₅₉3_<161>; = 3 · 47 · 29251 · 15404563 · 173708699 · 44589761258985665909_<20> · 130954237529266187822589440243374402085084936819376509066774477702616519147984406826191630831976192797217632795322283481_<120>

(58·10¹⁶¹-13)/9 =: 6(4)₁₆₀3_<162>; = 653319345451_<12> · 1575237244329951942400489897260475329452903303322367_<52> · 626201342405418301153045845166292234087621760837772895460574802045257424597728085044658561255896879_<99> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs / 20.20 hours on Core 2 Quad Q6700 / Jun 30, 2009)

(58·10¹⁶²-13)/9 =: 6(4)₁₆₁3_<163>; = 498670553 · 868251372853531_<15> · 2403433417659585403_<19> · 1519135220149328937011_<22> · 3978007396055070106886225840980948818901_<40> · 1024783602569126724040280540933691019026235418901075033484997_<61> (Sinkiti Sibata / GGNFS-0.77.1-20050930-pentium4 gnfs for P40 x P61 / 7.99 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Jun 29, 2009)

(58·10¹⁶³-13)/9 =: 6(4)₁₆₂3_<164>; = 3² · 7 · 17 · 94951763 · 1450443787417_<13> · 15200010854050980264951294490005750472092205391836031200627031_<62> · 28744064597297114282228101355955883403740289127783595364008637430740971151148233_<80> (Sinkiti Sibata / Msieve 1.40 snfs / 50.73 hours / Jul 3, 2009)

(58·10¹⁶⁴-13)/9 =: 6(4)₁₆₃3_<165>; = 634425495437_<12> · 34223943495856159696154680142313760883_<38> · 1039702390453237753079616431433676773883_<40> · 28547347651007753290977819563148421178571364515389527937841544853464340338951_<77> (Serge Batalov / GMP-ECM B1=3000000, sigma=1920900515 for P38 / Jun 28, 2009) (Sinkiti Sibata / GGNFS-0.77.1-20050930-pentium4 gnfs for P40 x P77 / 68.52 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Jul 4, 2009)

(58·10¹⁶⁵-13)/9 =: 6(4)₁₆₄3_<166>; = 409 · 1045549 · 453019657 · 2652950053519_<13> · 5959061434003417_<16> · 2104232876747830495441219404587440070578151215645703054762042531725281159199201428321191754993629772292816922603474321393_<121>

(58·10¹⁶⁶-13)/9 =: 6(4)₁₆₅3_<167>; = 3 · 4263403 · 45460486649_<11> · 143147918445240338468429_<24> · 774263390956809676875005939945122894825983581686963704781497106319711816655540967796854819092271765372372560447812262504106687_<126>

(58·10¹⁶⁷-13)/9 =: 6(4)₁₆₆3_<168>; = 907 · 9309593 · 616323772949751279227_<21> · 253974892032742945956761_<24> · 284996068419181591076316632267_<30> · 173896095349135933269424744970466539597_<39> · 9838278194508804532101741831512619052600114781_<46> (Serge Batalov / GMP-ECM 6.2.3 B1=1000000, sigma=578427496 for P30 / Jun 28, 2009) (Dmitry Domanov / GGNFS/msieve 1.41 gnfs for P39 x P46 / 1.39 hours / Jun 29, 2009)

(58·10¹⁶⁸-13)/9 =: 6(4)₁₆₇3_<169>; = 59² · 131 · 7243 · 831431 · 4181439919755017_<16> · 561228356148130146853881793063093946651163844579574798338504747764580387833925795013931711939172476380348208710469100950143654331015117133_<138>

(58·10¹⁶⁹-13)/9 =: 6(4)₁₆₈3_<170>; = 3 · 7 · 179 · 147853 · 236891 · 338197 · 4258508879_<10> · 408116836703356135186758597068735340933347535194023264090041406897_<66> · 832765330571507511987519992376332246212140238340768446412802228965601239809_<75> (Sinkiti Sibata / Msieve 1.40 snfs / 83.78 hours / Jul 5, 2009)

(58·10¹⁷⁰-13)/9 =: 6(4)₁₆₉3_<171>; = 779660803 · 68207303255081_<14> · 215899526268203_<15> · 6120552819174241618077343_<25> · 8067650318004082724863909_<25> · 3913842382300392420059798465884729_<34> · 290439825329617312138581420847295203695017164542529_<51> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=1238201650 for P34 / Jun 24, 2009)

(58·10¹⁷¹-13)/9 =: 6(4)₁₇₀3_<172>; = 267800740964923_<15> · 136821051590356663_<18> · 23486273512771613646940357632313_<32> · 1680685663562710108755241113940108250558188502759_<49> · 4455743436763288668170528477507378349835514471314046357878921_<61> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=4285452466 for P32 / Jun 24, 2009) (Andreas Tete / Msieve v. 1.42/GGNFS for P49 x P61 / 11 hours on Intel Core 2 Duo @2.1GHz/Windows Vista 32bit / Jun 30, 2009)

(58·10¹⁷²-13)/9 =: 6(4)₁₇₁3_<173>; = 3² · 31 · 41865383430599_<14> · 6908239763065591955895879222911977_<34> · 798654247269250625821363125778243854007703628918987098880286209849549880972564009269875503432979327263787634758461031670979_<123> (Serge Batalov / GMP-ECM B1=3000000, sigma=526144718 for P34 / Jun 28, 2009)

(58·10¹⁷³-13)/9 =: 6(4)₁₇₂3_<174>; = 3636439 · 5201072681589129941159853013_<28> · 4151220228381396271312783062791689_<34> · 1396023775624625497867728202917489963023485704132739_<52> · 5879598436456340709052499408488450640807341588815430219_<55> (Serge Batalov / GMP-ECM B1=1000000, sigma=619016146 for P34, B1=1000000, sigma=4219703845 for P28 / Jun 28, 2009) (Robert Backstrom / GGNFS-0.77.1-20051202-athlon gnfs for P52 x P55 / 10.56 hours / Jun 30, 2009)

(58·10¹⁷⁴-13)/9 =: 6(4)₁₇₃3_<175>; = 23 · 2003 · 109917710069_<12> · 2561799797279_<13> · 28060415355482968596031509529_<29> · 17703932477233971993285289597402034285856075678888714104981748648524578359619999237243122567152169494477870888624600693_<119> (Serge Batalov / GMP-ECM B1=1000000, sigma=380138816 for P29 / Jun 28, 2009)

(58·10¹⁷⁵-13)/9 =: 6(4)₁₇₄3_<176>; = 3 · 7 · 19 · 181 · 892347504734826630726601648381235470505607173243113923544281206392285194262513250591180221886822642856373592052568499209964752273562974348086299234888941198915028516656897_<171>

(58·10¹⁷⁶-13)/9 =: 6(4)₁₇₅3_<177>; = 67139 · 1531661 · [6266830688668742712038162956088710129467627732034286107462559663984648410765755277292614329748495493969499707769889806341458261057702852989187697540200889676969609517_<166>] SUBMIT/RESERVE

(58·10¹⁷⁷-13)/9 =: 6(4)₁₇₆3_<178>; = 43 · 1549 · [96753260835114093780600303938691795823929083196127200511124122756533764385791950462330452421583984332644383389800538148309403582873338304449148654712634474521363286808360149_<173>] RESERVED

(58·10¹⁷⁸-13)/9 =: 6(4)₁₇₇3_<179>; = 3 · 83 · 415372681528930396146721_<24> · [623086306361582696160530657672921152807081405067603767995876269711924815483071136179167501505701376759694792829403802077841911893498833254655652193162067_<153>] SUBMIT/RESERVE

(58·10¹⁷⁹-13)/9 =: 6(4)₁₇₈3_<180>; = 17 · 83203 · 1013279 · 314193898253553794001601_<24> · 20071264879675076490163669098941_<32> · 71301069794096863926630909832932835847583580359376395814524319585790712099111608907505785501461045889627387883187_<113> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=164541237 for P32 / Jun 25, 2009)

(58·10¹⁸⁰-13)/9 =: 6(4)₁₇₉3_<181>; = 1231 · 763225167108883917353_<21> · 6859220253645594663855128615863796664353382663793884634638439629854987927767035207870332657703012478743326546048592804012920223233979118732763756419214040301_<157>

(58·10¹⁸¹-13)/9 =: 6(4)₁₈₀3_<182>; = 3³ · 7 · 7177 · 16673863 · [2849341508994574902699112241784282680662760375207194600906408284909399367326957061796441790474138753377165625937744150487540335794317040487314430354020803442720827131337_<169>] SUBMIT/RESERVE

(58·10¹⁸²-13)/9 =: 6(4)₁₈₁3_<183>; = 4259 · 5859239830975993112258170416629_<31> · 25824776350105862241615964480248144797932775654895175071717043379053059317258662280261251777826678100888813439114978616329566330459038962132441200613_<149> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=2263712322 for P31 / Jun 25, 2009)

(58·10¹⁸³-13)/9 =: 6(4)₁₈₂3_<184>; = 25919 · 5252563412071_<13> · 961420063382696913845039546496705687743_<39> · 49235999353202946808007492839763276913494801029546625572470190315605759777492573030933345460372056027724551909999157757321602349_<128> (Serge Batalov / GMP-ECM B1=3000000, sigma=1633217857 for P39 / Jun 28, 2009)

(58·10¹⁸⁴-13)/9 =: 6(4)₁₈₃3_<185>; = 3 · 67 · 149 · 2767 · 793319776368881_<15> · 53816679229915529_<17> · [18214985184992353835271898279585123374501661072982675528889762514452702675394715114840210107925769400225498317017765356773983860303414014855692129_<146>] SUBMIT/RESERVE

(58·10¹⁸⁵-13)/9 =: 6(4)₁₈₄3_<186>; = 199 · 3238414293690675600223338916806253489670575097710776102735901730876605248464544946957007258514796203238414293690675600223338916806253489670575097710776102735901730876605248464544946957_<184>

(58·10¹⁸⁶-13)/9 =: 6(4)₁₈₅3_<187>; = 571118419 · 6910047735223_<13> · 2587190842271325877_<19> · 35114785465221478335963828650069_<32> · 17974622788214247283066410255459637837181221540559171944917399435638130489263319927061558432832138798399179950736903_<116> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=3519915402 for P32 / Jun 26, 2009)

(58·10¹⁸⁷-13)/9 =: 6(4)₁₈₆3_<188>; = 3 · 7 · 31 · 677 · 1061 · 1217 · 1941666765469_<13> · [58322370525290610334295564548182682952179451322268346088862312586688342268707584788041139455253662432522936578011524757104358622031074993502164765001011559490758253_<164>] SUBMIT/RESERVE

(58·10¹⁸⁸-13)/9 =: 6(4)₁₈₇3_<189>; = 61 · 659 · 1224473 · 351035381689_<12> · 76051131718537892647700933_<26> · [490415793458843427762187208615802338253149394608538053080254709532441466632086546922807987132090245558349738707110133604889986607577936589657_<141>] SUBMIT/RESERVE

(58·10¹⁸⁹-13)/9 =: 6(4)₁₈₈3_<190>; = definitely prime number

(58·10¹⁹⁰-13)/9 =: 6(4)₁₈₉3_<191>; = 3² · 509² · 3547 · 1265377 · 12500658557_<11> · 189748339830808583554936738487_<30> · 8859562242390101042337256758079_<31> · 293023967158645378132168017909583983083045335220259236533576678613996132987368553614771402092617621838013_<105> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=3552849983 for P30 / Jun 26, 2009) (Serge Batalov / GMP-ECM B1=3000000, sigma=60059875 for P31 / Jun 28, 2009)

(58·10¹⁹¹-13)/9 =: 6(4)₁₉₀3_<192>; = 363729043 · 7701248759_<10> · 7403663999107_<13> · 31074178164554733195970024654206628748303009980442692200265265299470231492908468001530367106621683496544345556773979053694508600863696622553802828954531051355877_<161>

(58·10¹⁹²-13)/9 =: 6(4)₁₉₁3_<193>; = 142594695726249788636971933183_<30> · 45194138615200311817527339058207646518843018650135174933145792358014953290585644679555748957897547197146190434809591778545186782614392375953039819735394019085717221_<164> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=1279792109 for P30 / Jun 26, 2009)

(58·10¹⁹³-13)/9 =: 6(4)₁₉₂3_<194>; = 3 · 7² · 19 · 1323221 · 34748627 · 89841155550511109_<17> · [5585591688487452752822772335513694945813259971161204744209301960043308111802967696649691063450927810643704528549851772322955664054050124945745044626526485647817_<160>] SUBMIT/RESERVE

(58·10¹⁹⁴-13)/9 =: 6(4)₁₉₃3_<195>; = 14669 · [43932404693192749638315116534490724960422963013459979851690261397807924496860347974943380219813514516629930086880117557055316957150756319070450913112307890411373948084016936699464479135895047_<191>] SUBMIT/RESERVE

(58·10¹⁹⁵-13)/9 =: 6(4)₁₉₄3_<196>; = 17 · 367 · 241667 · 57975050767_<11> · 12226075467943084283_<20> · 399895680985183493689_<21> · 15079197316788569304309387718581221423317517253031361315737799243527017399654111192368194107842402478127344895802079214325818100651161459_<137>

(58·10¹⁹⁶-13)/9 =: 6(4)₁₉₅3_<197>; = 3 · 23 · 257 · 24169 · 103847259321610372073924050253_<30> · [1447936609718760749360067535781392847535511656388177962890118978787031768606123874361301183998193725780863669969923596746060603885509742425909266190788773872803_<160>] (Serge Batalov / GMP-ECM B1=3000000, sigma=2549112822 for P30 / Jun 28, 2009) SUBMIT/RESERVE

(58·10¹⁹⁷-13)/9 =: 6(4)₁₉₆3_<198>; = 107251 · 1524827 · 332671106238803_<15> · [11845365836494429655366441097330184727601913432860987257944861912973585510562121389359639676969558853807904795540830985134711570248662915109777016886362705229727162733472953_<173>] SUBMIT/RESERVE

(58·10¹⁹⁸-13)/9 =: 6(4)₁₉₇3_<199>; = 43 · 1117 · 19237 · 24821 · 2784569 · 59237954935041703_<17> · 11886551500859734818658620538271_<32> · 143315551274420434222213373947337563362940576038866710475231323622530913839047854154795199333394648781320634451598336144835705100237_<132> (Serge Batalov / GMP-ECM B1=3000000, sigma=581503178 for P32 / Jun 28, 2009)

(58·10¹⁹⁹-13)/9 =: 6(4)₁₉₈3_<200>; = 3² · 7 · 424641898812731812426752921011_<30> · [2408918414443766526457701021768650135130829918012332504361997079302193424787973181483564883229679953265204951627296336736737127972679434252486740844808041127409827607751_<169>] (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=85674278 for P30 / Jun 27, 2009) SUBMIT/RESERVE

(58·10²⁰⁰-13)/9 =: 6(4)₁₉₉3_<201>; = 579154439 · 9475653481141_<13> · [117430774241718655989823719155593044221844535793517517165778525163593349685441838175735182059869895201461332707220055671779117103742292605400406461480236472587061848725750744364857_<180>] SUBMIT/RESERVE

(58·10²⁰¹-13)/9 =: 6(4)₂₀₀3_<202>; = 557 · 11569918212647117494514262916417314981049271893077997207261121085178535806902054657889487332934370636345501695591462198284460402952323957709954119289846399361659684819469379613006183921803311390384999_<200>

(58·10²⁰²-13)/9 =: 6(4)₂₀₁3_<203>; = 3 · 31 · 89 · 3761 · 49603 · [41735080161303257594123678034273244795131127040750619813450081522014232743452177948870441457441594762222983690254181932858031091633675346530075119935505257779863462063929341427167090724504373_<191>] SUBMIT/RESERVE

(58·10²⁰³-13)/9 =: 6(4)₂₀₂3_<204>; = 1949 · 106663279 · 191872229 · 947836627 · [17045631942169630224757129195679094392162521619715267337550351695568497793649418802907449728647428234851392983068174629534295610419984000940355020797352205536551443950749410151_<176>] SUBMIT/RESERVE

(58·10²⁰⁴-13)/9 =: 6(4)₂₀₃3_<205>; = 2011 · 3872503 · 2603736126449_<13> · 31038750693397_<14> · [10239540052882150341645710735097278235013046145334029194337459313733231069955599484287204317361464054400714467043378697120093983279875536317813849518868802406318738204507_<170>] SUBMIT/RESERVE

(58·10²⁰⁵-13)/9 =: 6(4)₂₀₄3_<206>; = 3 · 7 · 40886137 · 2085132539052131717077_<22> · 1068875764984203161422204638839_<31> · [33676675639754159102560963900657923771839396511769809979019650751645259114030473449609934052331429089655384598629084690289443528850998721649949453_<146>] (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=1646927207 / Jun 27, 2009) SUBMIT/RESERVE

4. References

A103035 (On-Line Encyclopedia of Integer Sequences)