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Factorizations of 388...883

About 388...883
- First ten terms
- General term
Prime numbers of the form 388...883
Factorizations of 388...883
References

1. About 388...883

First ten terms

33, 383, 3883, 38883, 388883, 3888883, 38888883, 388888883, 3888888883, 38888888883

General term

(35·10ⁿ-53)/9

2. Prime numbers of the form 388...883

Last update

Jan 18, 2009

Searched up to

n≤50000

Difficulty of search

12.33%

Results

(35·10²-53)/9 = 383 is prime. (Jean Claude Rosa / Oct 14, 2002)
(35·10¹²-53)/9 = 3(8)₁₁3_<13> is prime. (Jean Claude Rosa / Oct 14, 2002)
(35·10³⁰-53)/9 = 3(8)₂₉3_<31> is prime. (Jean Claude Rosa / Oct 14, 2002)
(35·10⁶⁰-53)/9 = 3(8)₅₉3_<61> is prime. (Jean Claude Rosa / Oct 14, 2002)
(35·10¹¹⁶-53)/9 = 3(8)₁₁₅3_<117> is prime. (Jean Claude Rosa / Oct 14, 2002)
(35·10²⁹⁰-53)/9 = 3(8)₂₈₉3_<291> is prime. (Jean Claude Rosa / Oct 14, 2002)
(35·10⁶³²-53)/9 = 3(8)₆₃₁3_<633> is prime. (Patrick De Geest / Nov 29, 2002)
(35·10¹⁰⁶⁴-53)/9 = 3(8)₁₀₆₃3_<1065> is prime. (Patrick De Geest / Feb 2, 2003)
(35·10¹⁴⁹⁴-53)/9 = 3(8)₁₄₉₃3_<1495> is prime. (Patrick De Geest / Jul 5, 2003)
(35·10⁵⁴³²-53)/9 = 3(8)₅₄₃₁3_<5433> is PRP. (Patrick De Geest / Nov 29, 2002)
(35·10⁷³⁶²-53)/9 = 3(8)₇₃₆₁3_<7363> is PRP. (Patrick De Geest / Nov 29, 2002)

3. Factorizations of 388...883

Last update

Nov 6, 2009

Completed up to

n≤150 / Sep 30, 2004

Range

n≤200

Terms which have not been factored yet

n=173, 176, 179, 183, 184, 185, 187, 189, 190, 191, 195, 197, 200 (13/200)

Results

(35·10¹-53)/9 =: 33; = 3 · 11

(35·10²-53)/9 =: 383; = definitely prime number

(35·10³-53)/9 =: 3883; = 11 · 353

(35·10⁴-53)/9 =: 38883; = 3 · 13 · 997

(35·10⁵-53)/9 =: 388883; = 11 · 35353

(35·10⁶-53)/9 =: 3888883; = 71 · 54773

(35·10⁷-53)/9 =: 38888883; = 3³ · 11 · 23 · 5693

(35·10⁸-53)/9 =: 388888883; = 59 · 233 · 28289

(35·10⁹-53)/9 =: 3888888883_<10>; = 11 · 211 · 787 · 2129

(35·10¹⁰-53)/9 =: 38888888883_<11>; = 3 · 13 · 17 · 58655941

(35·10¹¹-53)/9 =: 388888888883_<12>; = 11 · 19 · 367 · 5070061

(35·10¹²-53)/9 =: 3888888888883_<13>; = definitely prime number

(35·10¹³-53)/9 =: 38888888888883_<14>; = 3 · 11 · 1178451178451_<13>

(35·10¹⁴-53)/9 =: 388888888888883_<15>; = 61 · 6375227686703_<13>

(35·10¹⁵-53)/9 =: 3888888888888883_<16>; = 11² · 251 · 1951 · 65631023

(35·10¹⁶-53)/9 =: 38888888888888883_<17>; = 3² · 13² · 43 · 45263 · 13136647

(35·10¹⁷-53)/9 =: 388888888888888883_<18>; = 11 · 52142737 · 678014569

(35·10¹⁸-53)/9 =: 3888888888888888883_<19>; = 617 · 863 · 7303475473573_<13>

(35·10¹⁹-53)/9 =: 38888888888888888883_<20>; = 3 · 11 · 293 · 2087 · 1927176652561_<13>

(35·10²⁰-53)/9 =: 388888888888888888883_<21>; = 167 · 8539 · 4258103 · 64045097

(35·10²¹-53)/9 =: 3888888888888888888883_<22>; = 11 · 311 · 2663 · 39887 · 10702122583_<11>

(35·10²²-53)/9 =: 38888888888888888888883_<23>; = 3 · 13 · 29 · 191 · 90017 · 969433 · 2062943

(35·10²³-53)/9 =: 388888888888888888888883_<24>; = 11 · 35353535353535353535353_<23>

(35·10²⁴-53)/9 =: 3888888888888888888888883_<25>; = 2267 · 2423 · 707979366406609663_<18>

(35·10²⁵-53)/9 =: 38888888888888888888888883_<26>; = 3² · 11 · 12973 · 8408837 · 3600924272017_<13>

(35·10²⁶-53)/9 =: 388888888888888888888888883_<27>; = 17 · 22875816993464052287581699_<26>

(35·10²⁷-53)/9 =: 3888888888888888888888888883_<28>; = 11 · 1326137 · 48342727 · 5514591057847_<13>

(35·10²⁸-53)/9 =: 38888888888888888888888888883_<29>; = 3 · 13 · 680446223 · 1465436890449162139_<19>

(35·10²⁹-53)/9 =: 388888888888888888888888888883_<30>; = 11 · 19 · 23 · 80900538566442456602639669_<26>

(35·10³⁰-53)/9 =: 3888888888888888888888888888883_<31>; = definitely prime number

(35·10³¹-53)/9 =: 38888888888888888888888888888883_<32>; = 3 · 11 · 1178451178451178451178451178451_<31>

(35·10³²-53)/9 =: 388888888888888888888888888888883_<33>; = 277 · 5179 · 8190862063_<10> · 33095598746922827_<17>

(35·10³³-53)/9 =: 3888888888888888888888888888888883_<34>; = 11 · 23001353 · 15370198159010625825078001_<26>

(35·10³⁴-53)/9 =: 38888888888888888888888888888888883_<35>; = 3³ · 13 · 349 · 523877557001873_<15> · 605986847024129_<15>

(35·10³⁵-53)/9 =: 388888888888888888888888888888888883_<36>; = 11 · 353 · 15643 · 6402330641520975276319148507_<28>

(35·10³⁶-53)/9 =: 3888888888888888888888888888888888883_<37>; = 83 · 1013 · 46252796642311265463301048881277_<32>

(35·10³⁷-53)/9 =: 38888888888888888888888888888888888883_<38>; = 3 · 11² · 43 · 283 · 203213 · 230281 · 14860331 · 12659773676423_<14>

(35·10³⁸-53)/9 =: 388888888888888888888888888888888888883_<39>; = 1420151 · 273836295498780685215085500688933_<33>

(35·10³⁹-53)/9 =: 3888888888888888888888888888888888888883_<40>; = 11 · 47 · 211 · 1181 · 43688668927_<11> · 690929643157340967407_<21>

(35·10⁴⁰-53)/9 =: 38888888888888888888888888888888888888883_<41>; = 3 · 13 · 683 · 38616112830289_<14> · 37806952307926269766031_<23>

(35·10⁴¹-53)/9 =: 388888888888888888888888888888888888888883_<42>; = 11 · 71 · 497937117655427514582444159908948641343_<39>

(35·10⁴²-53)/9 =: 3888888888888888888888888888888888888888883_<43>; = 17 · 977 · 33127177 · 7068017589866742633623112851131_<31>

(35·10⁴³-53)/9 =: 38888888888888888888888888888888888888888883_<44>; = 3² · 11 · 463 · 124285841 · 2475516607_<10> · 14971731391_<11> · 184183118927_<12>

(35·10⁴⁴-53)/9 =: 388888888888888888888888888888888888888888883_<45>; = 163 · 798769981703699107_<18> · 2986869134888602002715163_<25>

(35·10⁴⁵-53)/9 =: 3888888888888888888888888888888888888888888883_<46>; = 11 · 48463 · 7294953955292770471360323412404381391031_<40>

(35·10⁴⁶-53)/9 =: 38888888888888888888888888888888888888888888883_<47>; = 3 · 13 · 97 · 1033 · 2543 · 6995777 · 559379510583752960411772617027_<30>

(35·10⁴⁷-53)/9 =: 388888888888888888888888888888888888888888888883_<48>; = 11 · 19 · 812765423161_<12> · 101991772353677_<15> · 22446513327889636871_<20>

(35·10⁴⁸-53)/9 =: 3888888888888888888888888888888888888888888888883_<49>; = 2659 · 29063 · 50323026888428628733764247687218025792199_<41>

(35·10⁴⁹-53)/9 =: 38888888888888888888888888888888888888888888888883_<50>; = 3 · 11 · 199 · 74363 · 7927782888674149_<16> · 10044998323234334787265027_<26>

(35·10⁵⁰-53)/9 =: 388888888888888888888888888888888888888888888888883_<51>; = 29 · 107 · 151 · 1789 · 9410861492364821_<16> · 49297749069132795155709019_<26>

(35·10⁵¹-53)/9 =: 3888888888888888888888888888888888888888888888888883_<52>; = 11 · 23 · 347 · 54667 · 3124843 · 259311689833133325481555036979319173_<36>

(35·10⁵²-53)/9 =: 38888888888888888888888888888888888888888888888888883_<53>; = 3² · 13 · 5281 · 1386259139_<10> · 45402428524246619184499672241821315661_<38>

(35·10⁵³-53)/9 =: 388888888888888888888888888888888888888888888888888883_<54>; = 11 · 66553936148872321_<17> · 130111079477482289_<18> · 4082675136877464137_<19>

(35·10⁵⁴-53)/9 =: 3888888888888888888888888888888888888888888888888888883_<55>; = 8664871 · 52041554776263869_<17> · 8624087824078572702748396751417_<31>

(35·10⁵⁵-53)/9 =: 38888888888888888888888888888888888888888888888888888883_<56>; = 3 · 11 · 113 · 461 · 8336927 · 13110745139_<11> · 54876762719_<11> · 3771467491430737534901_<22>

(35·10⁵⁶-53)/9 =: 388888888888888888888888888888888888888888888888888888883_<57>; = 487 · 4759 · 201453408797_<12> · 14325351577110139109_<20> · 58143471628461697187_<20>

(35·10⁵⁷-53)/9 =: 3888888888888888888888888888888888888888888888888888888883_<58>; = 11 · 12239 · 25022443 · 1182973609877_<13> · 975847940697088389325676248247057_<33>

(35·10⁵⁸-53)/9 =: 38888888888888888888888888888888888888888888888888888888883_<59>; = 3 · 13 · 17² · 43 · 181 · 19387 · 65437 · 78737075953_<11> · 4438158226081879781059558068733_<31>

(35·10⁵⁹-53)/9 =: 388888888888888888888888888888888888888888888888888888888883_<60>; = 11² · 13339 · 26322823 · 27080982157501_<14> · 338002581719867769167531497817459_<33>

(35·10⁶⁰-53)/9 =: 3888888888888888888888888888888888888888888888888888888888883_<61>; = definitely prime number

(35·10⁶¹-53)/9 =: 38888888888888888888888888888888888888888888888888888888888883_<62>; = 3⁴ · 11 · 631 · 212439397 · 166582043701_<12> · 10754350380509_<14> · 181748587310311711600051_<24>

(35·10⁶²-53)/9 =: 388888888888888888888888888888888888888888888888888888888888883_<63>; = 60531194586965888009792231_<26> · 6424602909994905051987478948382049493_<37>

(35·10⁶³-53)/9 =: 3888888888888888888888888888888888888888888888888888888888888883_<64>; = 11 · 772803201175238526147497448991_<30> · 457471388573074664924091901070183_<33>

(35·10⁶⁴-53)/9 =: 38888888888888888888888888888888888888888888888888888888888888883_<65>; = 3 · 13 · 5440067 · 7331771 · 25000447794630287929435303510893696202606949195621_<50>

(35·10⁶⁵-53)/9 =: 388888888888888888888888888888888888888888888888888888888888888883_<66>; = 11 · 19 · 251 · 412771 · 17959587182889380015382697482194761627237146821820204947_<56>

(35·10⁶⁶-53)/9 =: 3888888888888888888888888888888888888888888888888888888888888888883_<67>; = 59 · 11239 · 47163691 · 124347788745939564797187725221083392339795916057049613_<54>

(35·10⁶⁷-53)/9 =: 38888888888888888888888888888888888888888888888888888888888888888883_<68>; = 3 · 11 · 353 · 647 · 624709 · 193721510988909667_<18> · 42636053494245510853132965234839605787_<38>

(35·10⁶⁸-53)/9 =: 388888888888888888888888888888888888888888888888888888888888888888883_<69>; = 54011 · 1486611607075936021_<19> · 4843349367820902048515933930128911084507735493_<46>

(35·10⁶⁹-53)/9 =: 3888888888888888888888888888888888888888888888888888888888888888888883_<70>; = 11 · 211 · 2137 · 212304793 · 3693057532360494607978899288076008237584718117416543603_<55>

(35·10⁷⁰-53)/9 =: 38888888888888888888888888888888888888888888888888888888888888888888883_<71>; = 3² · 13 · 1787 · 2199222371_<10> · 10904963101665883_<17> · 7755713821209136772929783563427590985589_<40>

(35·10⁷¹-53)/9 =: 388888888888888888888888888888888888888888888888888888888888888888888883_<72>; = 11 · 1249 · 14667593 · 146929327 · 13134183254743885113347750735896903432361752463315327_<53>

(35·10⁷²-53)/9 =: 3888888888888888888888888888888888888888888888888888888888888888888888883_<73>; = 20947 · 10890886901_<11> · 7212383466024759937_<19> · 2363532862262367716277213125745434844797_<40>

(35·10⁷³-53)/9 =: 38888888888888888888888888888888888888888888888888888888888888888888888883_<74>; = 3 · 11 · 23 · 389 · 27397 · 1670687 · 2877637303341329164915208865309913206006186098140352780147_<58>

(35·10⁷⁴-53)/9 =: 388888888888888888888888888888888888888888888888888888888888888888888888883_<75>; = 17 · 61 · 915487 · 63665881 · 578043054933230507_<18> · 11130832722739321293028165903776302423771_<41>

(35·10⁷⁵-53)/9 =: 3888888888888888888888888888888888888888888888888888888888888888888888888883_<76>; = 11 · 526709 · 1144319175502248278509087_<25> · 586563365215192574318330822033572214580992491_<45>

(35·10⁷⁶-53)/9 =: 38888888888888888888888888888888888888888888888888888888888888888888888888883_<77>; = 3 · 13 · 71 · 193 · 276049 · 4770401 · 12885598697_<11> · 91690990073_<11> · 46770599917636057501154426627973850771_<38>

(35·10⁷⁷-53)/9 =: 388888888888888888888888888888888888888888888888888888888888888888888888888883_<78>; = 11 · 83 · 748283 · 1532712992028247_<16> · 326519810359525826919647_<24> · 1137413829290380010899546873553_<31>

(35·10⁷⁸-53)/9 =: 3888888888888888888888888888888888888888888888888888888888888888888888888888883_<79>; = 29 · 162313242979_<12> · 13741857625759_<14> · 60121268806102737722905216654901309856331460832416507_<53>

(35·10⁷⁹-53)/9 =: 38888888888888888888888888888888888888888888888888888888888888888888888888888883_<80>; = 3² · 11 · 43 · 47645922670623091_<17> · 191732680176270864245766252338242180058111321778975030498209_<60>

(35·10⁸⁰-53)/9 =: 388888888888888888888888888888888888888888888888888888888888888888888888888888883_<81>; = 2347 · 6581625250449347267351415949_<28> · 25175568993682512100140225173605023620326788092861_<50> (Tetsuya Kobayashi)

(35·10⁸¹-53)/9 =: 3888888888888888888888888888888888888888888888888888888888888888888888888888888883_<82>; = 11² · 8231 · 68414603 · 114691243 · 5422210873843_<13> · 91776626205463931531746574251819818747783044839_<47>

(35·10⁸²-53)/9 =: 38888888888888888888888888888888888888888888888888888888888888888888888888888888883_<83>; = 3 · 13 · 23306216161382489_<17> · 42784765671367894971455000329826396797916321722995750902477183773_<65>

(35·10⁸³-53)/9 =: 388888888888888888888888888888888888888888888888888888888888888888888888888888888883_<84>; = 11 · 19 · 557 · 924932940007265837191_<21> · 1736526907954570171471_<22> · 2079851319244261131262667074583937431_<37>

(35·10⁸⁴-53)/9 =: 3888888888888888888888888888888888888888888888888888888888888888888888888888888888883_<85>; = 587287 · 1607399 · 36857555529716124040716806099917_<32> · 111769916129109689347127466709827207148223_<42>

(35·10⁸⁵-53)/9 =: 38888888888888888888888888888888888888888888888888888888888888888888888888888888888883_<86>; = 3 · 11 · 47 · 761 · 37819241 · 8010020891_<10> · 78304770521515949_<17> · 1388974912758211961092245858518710780369941187_<46>

(35·10⁸⁶-53)/9 =: 388888888888888888888888888888888888888888888888888888888888888888888888888888888888883_<87>; = 382060951 · 672871777 · 275751178456322353_<18> · 7971017341207620209567_<22> · 688223406446861135201546867179_<30>

(35·10⁸⁷-53)/9 =: 3888888888888888888888888888888888888888888888888888888888888888888888888888888888888883_<88>; = 11 · 47298191 · 1233334709_<10> · 2491607331436812761_<19> · 2432359508923354319218035584995602603631813166113267_<52>

(35·10⁸⁸-53)/9 =: 38888888888888888888888888888888888888888888888888888888888888888888888888888888888888883_<89>; = 3³ · 13 · 1063 · 205399 · 507442489520326735761202026608417971247459963651254837151777123855718470867309_<78>

(35·10⁸⁹-53)/9 =: 388888888888888888888888888888888888888888888888888888888888888888888888888888888888888883_<90>; = 11 · 3331 · 9813677 · 20386049 · 10625302757621222623472071_<26> · 4992890939302482276010469704288213120244705161_<46>

(35·10⁹⁰-53)/9 =: 3888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883_<91>; = 17 · 47952335419717_<14> · 4770532403320234023045141180583067887954066088268944605094997307351536315047_<76>

(35·10⁹¹-53)/9 =: 38888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883_<92>; = 3 · 11 · 27589719847714559_<17> · 42713415901133096975935864920968318213615131456205099191279103058815385389_<74>

(35·10⁹²-53)/9 =: 388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883_<93>; = 48630104433628241_<17> · 36110145203523733400111_<23> · 221457859488702300991909960640760537887983424724217133_<54>

(35·10⁹³-53)/9 =: 3888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883_<94>; = 11 · 331 · 16231 · 1287454501_<10> · 602078654454470793355332986278019_<33> · 84893503680821816210569998074023153905402067_<44>

(35·10⁹⁴-53)/9 =: 38888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883_<95>; = 3 · 13² · 25493917321_<11> · 3008714662873171071863046673105176073447853470460618926241497645060335458304912289_<82>

(35·10⁹⁵-53)/9 =: 388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883_<96>; = 11 · 23 · 647029373607399237429357978263_<30> · 2375642119912604745704758266233337840478470062922736679342939497_<64> (Tetsuya Kobayashi)

(35·10⁹⁶-53)/9 =: 3888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883_<97>; = 919 · 2969 · 36548528243_<11> · 14565306523403_<14> · 151958942939253617_<18> · 17619112969973503555722192805470640949834749720621_<50>

(35·10⁹⁷-53)/9 =: 38888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883_<98>; = 3² · 11 · 6746039483_<10> · 11678478417187_<14> · 10731550118246381789641_<23> · 464614480309611962189918554455496273564407467323097_<51>

(35·10⁹⁸-53)/9 =: 388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883_<99>; = 12007 · 1783867 · 8815298231_<10> · 372185033973128010202813482115176410923_<39> · 5533916955442256111669146219602292866139_<40> (Tetsuya Kobayashi)

(35·10⁹⁹-53)/9 =: 3888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883_<100>; = 11 · 211 · 353 · 49384506795892362361392808700687_<32> · 96113627420138716151626982568234627268996111101043288543802093_<62> (Tetsuya Kobayashi)

(35·10¹⁰⁰-53)/9 =: 38888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883_<101>; = 3 · 13 · 43 · 11568004267_<11> · 220332958756985311260105686738064524561959_<42> · 9098180858424752559080116907347976332211458043_<46> (Tetsuya Kobayashi)

(35·10¹⁰¹-53)/9 =: 3(8)₁₀₀3_<102>; = 11 · 19 · 109 · 277 · 30367 · 22961938035533817908989007_<26> · 98895360059505064810903823867081_<32> · 893689459460546752160815771442731_<33>

(35·10¹⁰²-53)/9 =: 3(8)₁₀₁3_<103>; = 4097673068353_<13> · 257905405316956811489_<21> · 402147203766061817812795277488039_<33> · 9150455889897825973806542135100209141_<37>

(35·10¹⁰³-53)/9 =: 3(8)₁₀₂3_<104>; = 3 · 11² · 107 · 421 · 31212394008020989_<17> · 76194909187871851836403685376860118711600794313569176926723273061365733134416027_<80>

(35·10¹⁰⁴-53)/9 =: 3(8)₁₀₃3_<105>; = 3991705529297_<13> · 146346418214342184856796507_<27> · 665709786703229513329511366080597508404726069876053378230305646777_<66>

(35·10¹⁰⁵-53)/9 =: 3(8)₁₀₄3_<106>; = 11 · 269 · 373 · 19237 · 7561699 · 6077658960675697_<16> · 342394704577678223_<18> · 11639964106999965258159988421789906574369889140254666873_<56>

(35·10¹⁰⁶-53)/9 =: 3(8)₁₀₅3_<107>; = 3² · 13 · 17 · 29 · 617 · 13654441 · 110690597 · 722974425516608798544686267892544964585252387559866409587268316925293940232734011927_<84>

(35·10¹⁰⁷-53)/9 =: 3(8)₁₀₆3_<108>; = 11 · 5507 · 32568203 · 4294814477_<10> · 108993875221967_<15> · 421092469176643430586616742454937529110176175434119088421806677757194227_<72>

(35·10¹⁰⁸-53)/9 =: 3(8)₁₀₇3_<109>; = 24955613 · 106043006108954260101289949_<27> · 325677638986247788896731618783_<30> · 4512189402248045990263929834245069469510888773_<46>

(35·10¹⁰⁹-53)/9 =: 3(8)₁₀₈3_<110>; = 3 · 11 · 2687 · 98573 · 388540920661853_<15> · 2942302618757225619121_<22> · 3891901598385854659144152553223495903433886724041888098586723877_<64>

(35·10¹¹⁰-53)/9 =: 3(8)₁₀₉3_<111>; = 45557 · 4761773 · 34506911 · 51951207420504370098427095130883153595434875031798389359734270313020178790606210689770447773_<92>

(35·10¹¹¹-53)/9 =: 3(8)₁₁₀3_<112>; = 11 · 71 · 4979371176554275145824441599089486413430075401906387821880779627258500497937117655427514582444159908948641343_<109>

(35·10¹¹²-53)/9 =: 3(8)₁₁₁3_<113>; = 3 · 13 · 149 · 5113 · 19583468368956685983247150438919547838003037789_<47> · 66835816177070056531253986741132945069271600178070510203229_<59> (Robert Backstrom / NFSX v1.8)

(35·10¹¹³-53)/9 =: 3(8)₁₁₂3_<114>; = 11 · 590279 · 49461673 · 1945424488451_<13> · 2604449741935651902289672765816186441939237_<43> · 238988143365467588036919694885621130897568457_<45>

(35·10¹¹⁴-53)/9 =: 3(8)₁₁₃3_<115>; = 499 · 7793364506791360498775328434647071921621019817412602983745268314406590959697172122021821420619015809396570919617_<112>

(35·10¹¹⁵-53)/9 =: 3(8)₁₁₄3_<116>; = 3³ · 11 · 251 · 932419429 · 19265316263_<11> · 35957592054461237113_<20> · 14073859712678034905524555780921_<32> · 57385753458554400468379567747041581716859_<41>

(35·10¹¹⁶-53)/9 =: 3(8)₁₁₅3_<117>; = definitely prime number

(35·10¹¹⁷-53)/9 =: 3(8)₁₁₆3_<118>; = 11 · 23 · 191 · 78311 · 195640517 · 2926130092509940171729_<22> · 1795132230287450535267404302734737337084796531174553990788598554234370537320427_<79>

(35·10¹¹⁸-53)/9 =: 3(8)₁₁₇3_<119>; = 3 · 13 · 83 · 12013867435554182542134349363265025915628325266879483746953626471698760855387361411457796999965674664469845192736759_<116>

(35·10¹¹⁹-53)/9 =: 3(8)₁₁₈3_<120>; = 11 · 19 · 59123 · 6328239714121786565399934601458877134461036391553_<49> · 4973245108193967724575017693998748506081153796981277738187273073_<64> (Robert Backstrom / NFSX v1.8)

(35·10¹²⁰-53)/9 =: 3(8)₁₁₉3_<121>; = 906918899755451370643_<21> · 7464186855575079314488129_<25> · 574479558024567309865412169268390046968890193711105291063724474740933449889_<75>

(35·10¹²¹-53)/9 =: 3(8)₁₂₀3_<122>; = 3 · 11 · 43 · 8573 · 82734641350199_<14> · 38638737454704201613523630108850152829587481708365076277454835398878971399224185041409419599154056891_<101>

(35·10¹²²-53)/9 =: 3(8)₁₂₁3_<123>; = 17 · 131 · 17989 · 5941709 · 138504105753139070994677976373968010959876765088416937_<54> · 11795714986934882353751853687897868443361962489683654617_<56> (Robert Backstrom / NFSX v1.8)

(35·10¹²³-53)/9 =: 3(8)₁₂₂3_<124>; = 11 · 100769 · 437083 · 518298995640816113009217993839_<30> · 15486797454637600412331517590864210809025257374969920218313868032503135369408060501_<83> (Robert Backstrom / NFSX v1.8)

(35·10¹²⁴-53)/9 =: 3(8)₁₂₃3_<125>; = 3² · 13 · 59 · 3187 · 26690581 · 39007499 · 1697850568574788592432033972607658815126858659544481365528735641502637398264826385155345644478909008737_<103>

(35·10¹²⁵-53)/9 =: 3(8)₁₂₄3_<126>; = 11³ · 151 · 163 · 66103 · 179581567447772348308499781335583528429969222235388552334608141795512287359180398366804238837709407274803772796987_<114>

(35·10¹²⁶-53)/9 =: 3(8)₁₂₅3_<127>; = 21238873 · 1910306602674350862789205122499014041942656402732691_<52> · 95849751250897363360864242888247945027506287205767796475685822305481_<68> (Robert Backstrom / NFSX v1.8)

(35·10¹²⁷-53)/9 =: 3(8)₁₂₆3_<128>; = 3 · 11 · 6789336569_<10> · 967441192436363732299_<21> · 104368062567167924060521475943285631_<36> · 1719064056173273530501955045349327705484772709832689417031391_<61> (Robert Backstrom / GMP-ECM 5.0c)

(35·10¹²⁸-53)/9 =: 3(8)₁₂₇3_<129>; = 726911 · 314540771 · 16538502750359243805947_<23> · 102842152337526204446227256011295500683822772541332018649675360839534995983907239280935740669_<93>

(35·10¹²⁹-53)/9 =: 3(8)₁₂₈3_<130>; = 11 · 211 · 236991747120493304195628201523559213899747720701932462648221_<60> · 7069963502506850096090784078900270131507728214811893014647088805663_<67> (Robert Backstrom / NFSX v1.8)

(35·10¹³⁰-53)/9 =: 3(8)₁₂₉3_<131>; = 3 · 13 · 967 · 2203 · 1892599 · 45969127 · 21231139097417603028846814260178004196449_<41> · 253408861992479856342989266255539492517846808470001786416987384661561_<69> (Robert Backstrom / NFSX v1.8)

(35·10¹³¹-53)/9 =: 3(8)₁₃₀3_<132>; = 11 · 47 · 353 · 1271051 · 40170224584076709273427_<23> · 41734291966610177011062601768929622521442510432538203650732654854646830972866209013335280550443079_<98>

(35·10¹³²-53)/9 =: 3(8)₁₃₁3_<133>; = 21733681515732203_<17> · 44554943005986642571473347214559090418423030227_<47> · 4016024409589958230694000930051522382794846663135446459861014104913443_<70> (Robert Backstrom / NFSX v1.8)

(35·10¹³³-53)/9 =: 3(8)₁₃₂3_<134>; = 3² · 11 · 379087 · 1389841 · 4672683570127498313_<19> · 108500827292129391772619_<24> · 1470574084152556171252084119367065099626838755342334414212294360970623256704933_<79>

(35·10¹³⁴-53)/9 =: 3(8)₁₃₃3_<135>; = 29 · 61 · 811 · 193379 · 3242780968629487_<16> · 22764112724897546446781878993_<29> · 41880664600671832923530139593_<29> · 453404295021539861966359070136614386347053022282781_<51> (Tetsuya Kobayashi / GMP-ECM 5.0.1 B1=250000)

(35·10¹³⁵-53)/9 =: 3(8)₁₃₄3_<136>; = 11 · 263 · 8297 · 79889 · 289967 · 3038485943_<10> · 2301776857809416289236425709926426496240748313932069435624550199442145722065161978657782225772001302867364047_<109>

(35·10¹³⁶-53)/9 =: 3(8)₁₃₅3_<137>; = 3 · 13 · 3469 · 753353 · 381555840738259694926419424927087732944137784450966472859803302404263944607439118447485527654678783344225288338617825927741921_<126>

(35·10¹³⁷-53)/9 =: 3(8)₁₃₆3_<138>; = 11 · 19 · 1860712387028176501860712387028176501860712387028176501860712387028176501860712387028176501860712387028176501860712387028176501860712387_<136>

(35·10¹³⁸-53)/9 =: 3(8)₁₃₇3_<139>; = 17 · 3065243 · 2635266659_<10> · 3169790861_<10> · 50571882141133_<14> · 1211991847780799_<16> · 310331045372790750053_<21> · 88155666662105407961359170217_<29> · 5328098605989505714595904987201721_<34>

(35·10¹³⁹-53)/9 =: 3(8)₁₃₈3_<140>; = 3 · 11 · 23 · 14271679678800373_<17> · 3590117555318736745512924836977000792592974058083634246139338873519660839429834867412352566397897238506812892845414243569_<121>

(35·10¹⁴⁰-53)/9 =: 3(8)₁₃₉3_<141>; = 359 · 577 · 170623768786145750823691763_<27> · 24728406160615287305877860914676618707_<38> · 444958612515831389347540610612885488167438846639007749453827719018700141_<72> (Greg Childers / GGNFS)

(35·10¹⁴¹-53)/9 =: 3(8)₁₄₀3_<142>; = 11 · 161613128179_<12> · 1055190328123_<13> · 2073124630234112365394930869171208888184097190181440415743616260561856941706827561286521529908757910546836554716319609_<118>

(35·10¹⁴²-53)/9 =: 3(8)₁₄₁3_<143>; = 3⁵ · 13 · 43 · 97 · 1783 · 13877 · 331519 · 848126491 · 96806570414581637_<17> · 4382429122455911063509486354977893058639263689068743976091796641545313924112873765957241722336429_<97>

(35·10¹⁴³-53)/9 =: 3(8)₁₄₂3_<144>; = 11 · 3400813033692143362347940975577_<31> · 39822446802521162148555054998307315520708034161_<47> · 261049071330740757048830626374673546304849204595034145153972051249_<66> (Robert Backstrom / GMP-ECM 5.0c for P31) (Greg Childers / GGNFS)

(35·10¹⁴⁴-53)/9 =: 3(8)₁₄₃3_<145>; = 5988967 · 3331470862116150238181420105341_<31> · 194911559208825184272643301405844312748103162498097790663297038976218726867468864101733210811948421030895289_<108> (Robert Backstrom / GMP-ECM 5.0c)

(35·10¹⁴⁵-53)/9 =: 3(8)₁₄₄3_<146>; = 3 · 11 · 229 · 27298717 · 451785557543_<12> · 23878269374991976783_<20> · 287136997311615081259_<21> · 461891129059265362677261053796745261_<36> · 131755850794340601920283065104910552859489151397_<48>

(35·10¹⁴⁶-53)/9 =: 3(8)₁₄₅3_<147>; = 71 · 5981 · 113359 · 1480268819384325264781085684978331400775146249333139098019773_<61> · 5457538228209977795726029602237625811827880296502011865351753095329546180419_<76> (Greg Childers / GGNFS)

(35·10¹⁴⁷-53)/9 =: 3(8)₁₄₆3_<148>; = 11² · 32139577594123048668503213957759412304866850321395775941230486685032139577594123048668503213957759412304866850321395775941230486685032139577594123_<146>

(35·10¹⁴⁸-53)/9 =: 3(8)₁₄₇3_<149>; = 3 · 13 · 199 · 66947 · 132169 · 912804221773_<12> · 16190835571568762992847291_<26> · 833062888407957005788211822150323632027691_<42> · 45996251174982467974463245771940108747135325615593034517_<56> (Robert Backstrom / PPSIQS Ver 1.1)

(35·10¹⁴⁹-53)/9 =: 3(8)₁₄₈3_<150>; = 11 · 1699 · 4844311729_<10> · 27534105629473_<14> · 109029321480864079732436523957546499_<36> · 1430846697139682430269463503032991514893487767006263760301918701766519723861008943551809_<88> (Robert Backstrom / GMP-ECM 5.0c)

(35·10¹⁵⁰-53)/9 =: 3(8)₁₄₉3_<151>; = 349 · 570839 · 7820169046626019408337901686973132613_<37> · 500735370484603159398480034268787423521_<39> · 4984964390311741737973491734736514419727570505785718086986996893461_<67> (Tetsuya Kobayashi / GMP-ECM 5.0.1 B1=1000000) (Robert Backstrom / GMP-ECM 5.0c)

(35·10¹⁵¹-53)/9 =: 3(8)₁₅₀3_<152>; = 3² · 11 · 9533933 · 7666773050753_<13> · 140622725155158557_<18> · 38216431083060241665333739135682523664697959559243611573602961387549148793860793819606098522299557848953924999769_<113>

(35·10¹⁵²-53)/9 =: 3(8)₁₅₁3_<153>; = 379 · 4153 · 11527 · 609589 · 1311353 · 83943631 · 1466625082112506848288167_<25> · 217793295390911507887302782060228908480647405772093496990572522690944322665999277579745583270879563_<99>

(35·10¹⁵³-53)/9 =: 3(8)₁₅₂3_<154>; = 11 · 5119 · 29729852380307_<14> · 1336857265227055891602255144595312710366914084138447152868661721_<64> · 1737680497099652281480746842090914423799196760175286953572897766236908421_<73> (Tyler Cadigan / GGNFS-0.77.1-20060722-pentium4 / 65.51 hours on Pentium 4 3.20GHz, 1 Gig RAM, Windows XP and Cygwin / Mar 11, 2007)

(35·10¹⁵⁴-53)/9 =: 3(8)₁₅₃3_<155>; = 3 · 13 · 17 · 563 · 24761111 · 4548431451857_<13> · 14893398440137806047_<20> · 17214358533922899372427063091071_<32> · 3608171554412812193728736389472817370855429433262407847715505733800426715835393_<79> (Kenichiro Yamaguchi / GMP-ECM 6.0 B1=3000000, sigma=2696578936 for P32 / May 6, 2005)

(35·10¹⁵⁵-53)/9 =: 3(8)₁₅₄3_<156>; = 11 · 19 · 1491441214014575189_<19> · 1247593515281516546974214094065795310195336765010951240611236847332075435919315584762561810540225910986103752062059315244498029281235383_<136>

(35·10¹⁵⁶-53)/9 =: 3(8)₁₅₅3_<157>; = 107 · 78167 · 175961 · 7662441211_<10> · 1959788221232077_<16> · 175964715973500921087401539899994243063150749192962258631827316544596964954631982198294262893079524207919146831929562521_<120>

(35·10¹⁵⁷-53)/9 =: 3(8)₁₅₆3_<158>; = 3 · 11 · 6917 · 9547921153_<10> · 86432303214506848690151_<23> · 206447158334377316458026269779764597686601009985102727032251655590272558129911390892258205047439101358073626555417478001_<120>

(35·10¹⁵⁸-53)/9 =: 3(8)₁₅₇3_<159>; = 27127 · 48923440453_<11> · 42538481348207485813121172033846526577279483_<44> · 6888502111425675766578155516284879416746833257639594662538596972928631754995038097561460112280873171_<100> (Robert Backstrom / GGNFS-0.77.1-20060513-athlon-xp / 44.00 hours on Cygwin on AMD 64 3200+ / May 23, 2007)

(35·10¹⁵⁹-53)/9 =: 3(8)₁₅₈3_<160>; = 11 · 83 · 211 · 12821 · 493133 · 3667343 · 9916567361_<10> · 87795739023710776391654822842881935398753090837730056485686711900925643044332865963782471403084732765824612347854596255097261679_<128>

(35·10¹⁶⁰-53)/9 =: 3(8)₁₅₉3_<161>; = 3² · 13 · 179 · 509 · 1518329 · 233255123 · 10300819609697368272712452531318243599707284696056811951472196635848623074352607136656139843996475904259660364288586395073591077780378894227_<140>

(35·10¹⁶¹-53)/9 =: 3(8)₁₆₀3_<162>; = 11 · 23 · 125119 · 248243022679_<12> · 49488546473936153232825763893243427397789452810325382147715621803065188363194963125094481072153577788041394627757987407413612638393838303621911_<143>

(35·10¹⁶²-53)/9 =: 3(8)₁₆₁3_<163>; = 29 · 69019 · 25653524357_<11> · 5358784492991075088809_<22> · 14133364000862519488602961781879434052188189082421506179905766468916213982694706495940435836803641593855714037747719718973841_<125>

(35·10¹⁶³-53)/9 =: 3(8)₁₆₂3_<164>; = 3 · 11 · 43 · 353 · 119183 · 294940614241103_<15> · 2208612575674410143005854222228002123669043330246503978447621024792570864203342110857659803545183675843624707988891220556348709581112085881_<139>

(35·10¹⁶⁴-53)/9 =: 3(8)₁₆₃3_<165>; = 1279 · 2708249922211_<13> · 84497846530733577040321_<23> · 1328680649769788001219281214220100829360276671526278829518717995063675513480341574383829910113147108341512031324011149506234767_<127>

(35·10¹⁶⁵-53)/9 =: 3(8)₁₆₄3_<166>; = 11 · 251 · 293 · 12041 · 20047 · 1163980039_<10> · 36189566249_<11> · 1579409729891132095997857_<25> · 299333856792768316694862634622755476736442729891970391438133170607434097847024815386365442578600679032502199_<108>

(35·10¹⁶⁶-53)/9 =: 3(8)₁₆₅3_<167>; = 3 · 13 · 1487 · 3733 · 1378751729_<10> · 560590050564953_<15> · 1195756684702150733_<19> · 1241974992267077749180834709_<28> · 156496577856073603189539481957862509719637814574141652989364822636149186671602061556864263_<90> (Makoto Kamada / GMP-ECM 5.0.3 B1=400000, sigma=3545626425)

(35·10¹⁶⁷-53)/9 =: 3(8)₁₆₆3_<168>; = 11 · 113 · 1481894566930897165561217886297315643190412863_<46> · 211123754485119892507236798299021028208278038771361562866186890465260883878836081438303807062657374164385131676699256887_<120> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 94.40 hours on Cygwin on AMD XP 2700+ / May 17, 2007)

(35·10¹⁶⁸-53)/9 =: 3(8)₁₆₇3_<169>; = 55865683 · 167058817 · 49490597625208871233348177_<26> · 569618098720578477422424600101143173899_<39> · 14781024690642080932758969397118873168017503155014627158552385373431832745996639435957011_<89> (Makoto Kamada / GMP-ECM 5.0.3 B1=4000000, sigma=348951633 for P26) (Max Dettweiler / GMP-ECM 6.2.1 B1=1000000, sigma=2713672085 for P39 / Mar 7, 2009)

(35·10¹⁶⁹-53)/9 =: 3(8)₁₆₈3_<170>; = 3³ · 11² · 661 · 2207 · 7726057 · 59462556413862442092449340501731601838252568471681890551614913937_<65> · 17761151691851101595704380123061264611926150229274494050475365714951019876727414514520043_<89> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs, Msieve 1.36 / 75.91 hours on Cygwin on AMD 64 3200+ / Jul 26, 2008)

(35·10¹⁷⁰-53)/9 =: 3(8)₁₆₉3_<171>; = 17 · 277 · 997 · 8699 · 2907767 · 8383444690149007_<16> · 158736305007079783_<18> · 2460786761115602336308156244387571379131565192883158316332680150004814157024407780019248632368751341323048040426780873727_<121>

(35·10¹⁷¹-53)/9 =: 3(8)₁₇₀3_<172>; = 11 · 257 · 313 · 14547037 · 451637800707841604043591937013618243_<36> · 668945230356071257795118498826470672455372523944031278211962172797587051335478238590834313058838878619295303466223808615463_<123> (Patrick Keller / GMP-ECM B1=1000000, sigma=974293910 for P36 / Jan 28, 2006)

(35·10¹⁷²-53)/9 =: 3(8)₁₇₁3_<173>; = 3 · 13² · 823 · 2957 · 3423371497246031422544753307472705733156021261934907_<52> · 9206877937016644470383489347435768756055010285968683328710645790936751051020760012596536946190038569116233788897_<112> (Ignacio Santos / GGNFS, Msieve snfs / 59.97 hours / Sep 28, 2009)

(35·10¹⁷³-53)/9 =: 3(8)₁₇₂3_<174>; = 11 · 19 · 106607187862536784442950213557216101_<36> · [17453911169924557576039346133779902931162217477346570291829558559498426489621005591757758283994513516027454699330159557616319274222151687_<137>] (Patrick Keller / GMP-ECM B1=1000000, sigma=806868188 for P36 / Feb 4, 2006) SUBMIT/RESERVE

(35·10¹⁷⁴-53)/9 =: 3(8)₁₇₃3_<175>; = 460352558729349193535401_<24> · 8447631744728168727993353604868844158085001925733720540917871392479926652602414462328199643040328826737086525693038321380707437123042691007589270210683_<151>

(35·10¹⁷⁵-53)/9 =: 3(8)₁₇₄3_<176>; = 3 · 11 · 1178451178451178451178451178451178451178451178451178451178451178451178451178451178451178451178451178451178451178451178451178451178451178451178451178451178451178451178451178451_<175>

(35·10¹⁷⁶-53)/9 =: 3(8)₁₇₅3_<177>; = 311 · 601 · 1873 · [1110843546986706481635335957604728392774836548123921137043636283483663901631399020163691512009576987200391240874598393201562335940805917507500725871987722022740587968861_<169>] SUBMIT/RESERVE

(35·10¹⁷⁷-53)/9 =: 3(8)₁₇₆3_<178>; = 11 · 47 · 13107032843441144799767117_<26> · 573892572672435286529551890447575578951582741097265551836279226573895477021720180455925039432456436123385054982403920192273930571789323508781679476147_<150>

(35·10¹⁷⁸-53)/9 =: 3(8)₁₇₇3_<179>; = 3² · 13 · 283 · 15767 · 25561 · 140102970446749_<15> · 1045486352891699_<16> · 41229218204509607_<17> · 482564665332607342629250717043812650686346764376606971292392311130633672588267541502349698567277032582428011270399814667_<120>

(35·10¹⁷⁹-53)/9 =: 3(8)₁₇₈3_<180>; = 11 · 1453 · 4823708954837782458566048329_<28> · [5044128471268801172062513142983485358949897775689870766059301754241680504722143167099125805317082288533122296651679099968127315184968035371550200469_<148>] (Patrick Keller / GMP-ECM B1=1000000, sigma=3030713605 for P28 / Jan 27, 2006) SUBMIT/RESERVE

(35·10¹⁸⁰-53)/9 =: 3(8)₁₇₉3_<181>; = 559975789 · 6944744693040450162906755400614094922751899348435739047441011577178899941491736330923565855967549498624643018073213320458197325543460038571219172636209971729490056379721247_<172>

(35·10¹⁸¹-53)/9 =: 3(8)₁₈₀3_<182>; = 3 · 11 · 71 · 881 · 208945537457941_<15> · 791365109293020169_<18> · 21778263350111446027_<20> · 1252919402408328755421374091254262320800303_<43> · 4175619906214193298947641749972535268213753641612635366469178981999800565253855349_<82> (Erik Branger / GGNFS, Msieve gnfs for P43 x P82 / 107.58 hours / Nov 19, 2008)

(35·10¹⁸²-53)/9 =: 3(8)₁₈₁3_<183>; = 59 · 182838044488969_<15> · 36050139992660800838534262679338126678407007739116560188986564605019563976830090537215637815107355540645819650520704964541801881832210501374764588105660218575469861473_<167>

(35·10¹⁸³-53)/9 =: 3(8)₁₈₂3_<184>; = 11 · 23 · 182927 · 292727 · 1778471 · [161405240730642144672481853131812216198636683682842058952067906348287646449872546482023063619737303705260352835424425335174568490023047509098939383514574075740422529_<165>] SUBMIT/RESERVE

(35·10¹⁸⁴-53)/9 =: 3(8)₁₈₃3_<185>; = 3 · 13 · 43 · 1471465866831366172727_<22> · 2457334707023565091577_<22> · [6413246980507068283769118258391718608827508253417789965201152595663441149012778030813611013381400349017821323944721879866420745813788683201_<139>] SUBMIT/RESERVE

(35·10¹⁸⁵-53)/9 =: 3(8)₁₈₄3_<186>; = 11 · 137417531 · 6837248321_<10> · 1511824184760613626187861_<25> · [24889035476511598944538129054094452769265329470959085828963866997882088325065309991820905493605886828307991181028189781983120016754589773986223_<143>] SUBMIT/RESERVE

(35·10¹⁸⁶-53)/9 =: 3(8)₁₈₅3_<187>; = 17 · 167 · 38891 · 43201 · 258353 · 3531757 · 19093236250401691755151_<23> · 46798654013841637262944084448702068312310525015948516144851500337426071994307118312232276876142922025568213340361021020652616448138477569077_<140>

(35·10¹⁸⁷-53)/9 =: 3(8)₁₈₆3_<188>; = 3² · 11 · 43584823 · 2097487971013_<13> · [4296903247045760404681566392709558249776375838073173734138233103051590025086694274069477220440443128436326254646445972141870621936192452892897314714249283242864810283_<166>] SUBMIT/RESERVE

(35·10¹⁸⁸-53)/9 =: 3(8)₁₈₇3_<189>; = 28817 · 235468099 · 33289822364458007_<17> · 60999723903947177_<17> · 61191520856023770915728179511380334217869_<41> · 461226334799672805678358305361391690435579575106981188991446293523131031705549655014689841009523462411_<102> (Makoto Kamada / GMP-ECM 5.0.3 B1=4000000, sigma=3051270891 for P41 / Mar 12, 2005)

(35·10¹⁸⁹-53)/9 =: 3(8)₁₈₈3_<190>; = 11 · 211 · 223 · 67883 · [110683912985420942000590681645772578167997787577313301307664200882896213553704590192719813659569693709826142216816053326894455700753467374305078705718317868273784524701971667268247_<180>] SUBMIT/RESERVE

(35·10¹⁹⁰-53)/9 =: 3(8)₁₈₉3_<191>; = 3 · 13 · 29 · 71843 · 88338252521_<11> · [5417883557922783864969826253963385894427051547468095199145235520418750836772245953634383163717937874963179719711478102520057874434848588144286582893624340464868424632093531_<172>] SUBMIT/RESERVE

(35·10¹⁹¹-53)/9 =: 3(8)₁₉₀3_<192>; = 11² · 19² · 27793 · 7677533033_<10> · [41723030138449245296308812400354984415916651723317563747212645757573725533683162467372692098491601896573117000765836210859210473240481314282634544240796723709638174733218347_<173>] SUBMIT/RESERVE

(35·10¹⁹²-53)/9 =: 3(8)₁₉₁3_<193>; = 1637 · 3959391502285618111_<19> · 1902831840384627321743557842401_<31> · 315317445054668231466894928407418052176979857291002402769887593292955927140627717865032030003548506786533662654988210078682631168818914249769_<141> (Makoto Kamada / GMP-ECM 5.0.3 B1=400000, sigma=1137915200)

(35·10¹⁹³-53)/9 =: 3(8)₁₉₂3_<194>; = 3 · 11 · 18268740473_<11> · 56283536458453_<14> · 1146097621415380053689663796137077625030413257417038531550577459164108451024277330644889503817876614655610255254185446017960839053662756557916627860415043901105765930879_<169>

(35·10¹⁹⁴-53)/9 =: 3(8)₁₉₃3_<195>; = 61 · 617 · 7789 · 2163952582499_<13> · 2326287941625511_<16> · 6746993270905212529064277315866309_<34> · 39057761165108223751807608888821277864278277187051226632566244066718880660497494906726063888182641266851221458785471976443931_<125> (Patrick Keller / GMP-ECM B1=1000000, sigma=3598124478 for P34 / Feb 4, 2006)

(35·10¹⁹⁵-53)/9 =: 3(8)₁₉₄3_<196>; = 11 · 353 · 13489623807653598428959653177019_<32> · [74243477544933195199721018884564753532476736984037248212062263178045358729126496935286755527092585387779607938542329058870850264718140427333783944788315471979579_<161>] (Patrick Keller / GMP-ECM B1=1000000, sigma=3511339529 for P32 / Jan 31, 2006) SUBMIT/RESERVE

(35·10¹⁹⁶-53)/9 =: 3(8)₁₉₅3_<197>; = 3³ · 13 · 84349 · 461651807 · 446380663993523863_<18> · 908799301214037157739831_<24> · 18926803629417875634761866211_<29> · 370572601126933505818972951766246195700206529887515200446193569195537707291856741066535946708729578200520407957_<111> (Makoto Kamada / GMP-ECM 5.0.3 B1=400000, sigma=3918550445 for P29) (Makoto Kamada / GMP-ECM 5.0.3 B1=400000, sigma=3915766579 for P24)

(35·10¹⁹⁷-53)/9 =: 3(8)₁₉₆3_<198>; = 11 · 463 · 34880858002007399819_<20> · [2189095456224759740076700656540648160840915475143891532600121231949981658043704327729964558387398938717063501276376107417796071465573684498241392122192554187496059213406326149_<175>] SUBMIT/RESERVE

(35·10¹⁹⁸-53)/9 =: 3(8)₁₉₇3_<199>; = 439 · 1189189 · 7449208520413474431533227220464699594994343772339371572156643721591170290875708881235363477177513680647568312221283513403040255561793033251132743301915979275041064459001862259350363008519073_<190>

(35·10¹⁹⁹-53)/9 =: 3(8)₁₉₈3_<200>; = 3 · 11 · 16342423135017998364937_<23> · 1680432475532107764751967_<25> · 42911537765188938458010871625151585401868344007712344743502510578462538153562130983433601031829142022843444433726920246603473287402546847731923578596069_<152>

(35·10²⁰⁰-53)/9 =: 3(8)₁₉₉3_<201>; = 83 · 151 · 571 · 1740838653692061284041601_<25> · [31215900357680066419631970020617217001157498828480633210666401870843623636922866548958446726966859485011262647416856264082086991661275471339187691002453856734593933366181_<170>] SUBMIT/RESERVE

4. References

Plateau and Depression Primes (Patrick De Geest)