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Factorizations of 811...117

About 811...117
- First ten terms
- General term
Prime numbers of the form 811...117
Factorizations of 811...117
References

1. About 811...117

First ten terms

87, 817, 8117, 81117, 811117, 8111117, 81111117, 811111117, 8111111117, 81111111117

General term

(73·10ⁿ+53)/9

2. Prime numbers of the form 811...117

Last update

Sep 19, 2010

Searched up to

n≤30000

Difficulty of search

12.02%

Results

(73·10³+53)/9 = 8117 is prime.
(73·10⁹+53)/9 = 8111111117_<10> is prime.
(73·10¹⁷+53)/9 = 8(1)₁₆7_<18> is prime.
(73·10¹⁵³+53)/9 = 8(1)₁₅₂7_<154> is prime. (searched by Makoto Kamada / Dec 6, 2004) (certified by Makoto Kamada / PPSIQS / Jan 7, 2005)
(73·10¹⁹⁴+53)/9 = 8(1)₁₉₃7_<195> is prime. (searched by Makoto Kamada / Dec 6, 2004) (certified by Makoto Kamada / PPSIQS / Jan 7, 2005)
(73·10⁶⁴¹+53)/9 = 8(1)₆₄₀7_<642> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Jun 1, 2006)
(73·10⁶⁷⁵+53)/9 = 8(1)₆₇₄7_<676> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Jun 1, 2006)
(73·10¹⁴⁶¹+53)/9 = 8(1)₁₄₆₀7_<1462> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Aug 23, 2006)
(73·10²⁶⁴²⁹+53)/9 = 8(1)₂₆₄₂₈7_<26430> is PRP. (Ray Chandler / srsieve, PFGW / Sep 15, 2010)

3. Factorizations of 811...117

Last update

Jan 21, 2012

Completed up to

n≤100 / Jan 7, 2005
n≤150 / Jan 19, 2010

Range

n≤200

Terms which have not been factored yet

n=179, 182, 186, 190, 192, 195, 199 (7/200)

Results

(73·10¹+53)/9 =: 87; = 3 · 29

(73·10²+53)/9 =: 817; = 19 · 43

(73·10³+53)/9 =: 8117; = definitely prime number

(73·10⁴+53)/9 =: 81117; = 3² · 9013

(73·10⁵+53)/9 =: 811117; = 61 · 13297

(73·10⁶+53)/9 =: 8111117; = 7² · 165533

(73·10⁷+53)/9 =: 81111117; = 3 · 79 · 342241

(73·10⁸+53)/9 =: 811111117; = 661 · 757 · 1621

(73·10⁹+53)/9 =: 8111111117_<10>; = definitely prime number

(73·10¹⁰+53)/9 =: 81111111117_<11>; = 3 · 157 · 172210427

(73·10¹¹+53)/9 =: 811111111117_<12>; = 17 · 181 · 8329 · 31649

(73·10¹²+53)/9 =: 8111111111117_<13>; = 7 · 1158730158731_<13>

(73·10¹³+53)/9 =: 81111111111117_<14>; = 3² · 9012345679013_<13>

(73·10¹⁴+53)/9 =: 811111111111117_<15>; = 479 · 2213 · 16453 · 46507

(73·10¹⁵+53)/9 =: 8111111111111117_<16>; = 18013 · 109883 · 4097923

(73·10¹⁶+53)/9 =: 81111111111111117_<17>; = 3 · 23 · 87299 · 13465484707_<11>

(73·10¹⁷+53)/9 =: 811111111111111117_<18>; = definitely prime number

(73·10¹⁸+53)/9 =: 8111111111111111117_<19>; = 7 · 71 · 91334443 · 178685527

(73·10¹⁹+53)/9 =: 81111111111111111117_<20>; = 3 · 63127 · 468107 · 914953051

(73·10²⁰+53)/9 =: 811111111111111111117_<21>; = 19 · 79 · 6151273 · 87848561929_<11>

(73·10²¹+53)/9 =: 8111111111111111111117_<22>; = 9619 · 4650869 · 181307729347_<12>

(73·10²²+53)/9 =: 81111111111111111111117_<23>; = 3³ · 11126657 · 269992615602103_<15>

(73·10²³+53)/9 =: 811111111111111111111117_<24>; = 43 · 4733 · 6211 · 641673141458513_<15>

(73·10²⁴+53)/9 =: 8111111111111111111111117_<25>; = 7 · 6163 · 26203 · 20075261 · 357419239

(73·10²⁵+53)/9 =: 81111111111111111111111117_<26>; = 3 · 2823999173_<10> · 9574024417406243_<16>

(73·10²⁶+53)/9 =: 811111111111111111111111117_<27>; = 18149 · 165089 · 270713250268657897_<18>

(73·10²⁷+53)/9 =: 8111111111111111111111111117_<28>; = 17 · 33623 · 14190410820168811459787_<23>

(73·10²⁸+53)/9 =: 81111111111111111111111111117_<29>; = 3 · 1289 · 64579 · 324799134193359350269_<21>

(73·10²⁹+53)/9 =: 811111111111111111111111111117_<30>; = 29 · 65539 · 426758855933166990915707_<24>

(73·10³⁰+53)/9 =: 8111111111111111111111111111117_<31>; = 7 · 837665513 · 1383285023374429800787_<22>

(73·10³¹+53)/9 =: 81111111111111111111111111111117_<32>; = 3² · 8861 · 1017079977317723245571870633_<28>

(73·10³²+53)/9 =: 811111111111111111111111111111117_<33>; = 67 · 12106135986733001658374792703151_<32>

(73·10³³+53)/9 =: 8111111111111111111111111111111117_<34>; = 79 · 153689 · 8072842163_<10> · 82753050722431289_<17>

(73·10³⁴+53)/9 =: 81111111111111111111111111111111117_<35>; = 3 · 7351 · 957889 · 3839701709861228758605001_<25>

(73·10³⁵+53)/9 =: 811111111111111111111111111111111117_<36>; = 757 · 1071480992220754440041097901071481_<34>

(73·10³⁶+53)/9 =: 8111111111111111111111111111111111117_<37>; = 7 · 149 · 7776712474699051880259933951209119_<34>

(73·10³⁷+53)/9 =: 81111111111111111111111111111111111117_<38>; = 3 · 89 · 96179 · 51076741786261_<14> · 61839454006188329_<17>

(73·10³⁸+53)/9 =: 811111111111111111111111111111111111117_<39>; = 19 · 23 · 47 · 107 · 1697 · 43577 · 10328803 · 483201321093828047_<18>

(73·10³⁹+53)/9 =: 8111111111111111111111111111111111111117_<40>; = 236449 · 582574403 · 58883209032354241539916111_<26>

(73·10⁴⁰+53)/9 =: 81111111111111111111111111111111111111117_<41>; = 3² · 107070252433_<12> · 84172265164424520667202018261_<29>

(73·10⁴¹+53)/9 =: 811111111111111111111111111111111111111117_<42>; = 47497 · 4057488313_<10> · 4208786477808385318657070797_<28>

(73·10⁴²+53)/9 =: 8111111111111111111111111111111111111111117_<43>; = 7 · 97 · 38731734341_<11> · 308420780601113451075635051503_<30>

(73·10⁴³+53)/9 =: 81111111111111111111111111111111111111111117_<44>; = 3 · 17 · 167 · 9523436786557603746754856300470953517801_<40>

(73·10⁴⁴+53)/9 =: 811111111111111111111111111111111111111111117_<45>; = 43 · 291029873621_<12> · 64814820763630788678192301172939_<32>

(73·10⁴⁵+53)/9 =: 8111111111111111111111111111111111111111111117_<46>; = 33149 · 244686449398507077471752122571151802802833_<42>

(73·10⁴⁶+53)/9 =: 81111111111111111111111111111111111111111111117_<47>; = 3 · 59 · 79 · 163 · 127733 · 278605237377484192473082505661427181_<36>

(73·10⁴⁷+53)/9 =: 811111111111111111111111111111111111111111111117_<48>; = 20159617 · 498248249834233_<15> · 80751814893747285298833397_<26>

(73·10⁴⁸+53)/9 =: 8111111111111111111111111111111111111111111111117_<49>; = 7² · 18143 · 9123787676712456832298408348990627870321731_<43>

(73·10⁴⁹+53)/9 =: 81111111111111111111111111111111111111111111111117_<50>; = 3⁴ · 2393 · 20923491095111275487_<20> · 19999469907229284331856027_<26>

(73·10⁵⁰+53)/9 =: 811111111111111111111111111111111111111111111111117_<51>; = 991 · 9067 · 13863548509_<11> · 63035696123564719_<17> · 103295670932783491_<18>

(73·10⁵¹+53)/9 =: 8(1)₅₀7_<52>; = 259781 · 837659 · 37273974814305366333854138757174077560523_<41>

(73·10⁵²+53)/9 =: 8(1)₅₁7_<53>; = 3 · 131 · 787 · 1360171 · 2570351741_<10> · 1855709813627563_<16> · 40421919587421259_<17>

(73·10⁵³+53)/9 =: 8(1)₅₂7_<54>; = 71 · 2770579631_<10> · 4123361057256875029594047534286370819796517_<43>

(73·10⁵⁴+53)/9 =: 8(1)₅₃7_<55>; = 7 · 69457057 · 492751058925218546939_<21> · 33856212099517587002574097_<26>

(73·10⁵⁵+53)/9 =: 8(1)₅₄7_<56>; = 3 · 63199 · 116295083 · 3678642097483988050564179371292035352397267_<43>

(73·10⁵⁶+53)/9 =: 8(1)₅₅7_<57>; = 19 · 383 · 419 · 4843083926221_<13> · 105187520135657_<15> · 522189026697027555766847_<24>

(73·10⁵⁷+53)/9 =: 8(1)₅₆7_<58>; = 29 · 248498209 · 10536297931217_<14> · 106824543911752766831952180623482241_<36>

(73·10⁵⁸+53)/9 =: 8(1)₅₇7_<59>; = 3² · 643 · 5101 · 1111703 · 241360817 · 47647204153370377_<17> · 214920863977039137133_<21>

(73·10⁵⁹+53)/9 =: 8(1)₅₈7_<60>; = 17 · 79 · 1373 · 5987 · 28813546661_<11> · 2549927447497932863293804023914050513729_<40>

(73·10⁶⁰+53)/9 =: 8(1)₅₉7_<61>; = 7 · 23 · 499 · 29819 · 157742591 · 21464060508532919811239294060479425419820307_<44>

(73·10⁶¹+53)/9 =: 8(1)₆₀7_<62>; = 3 · 1069 · 29399039 · 163647173 · 682005071029725559_<18> · 7708185281751266170255447_<25>

(73·10⁶²+53)/9 =: 8(1)₆₁7_<63>; = 757 · 2950834712926929655402379_<25> · 363111152084134743283781070771635339_<36>

(73·10⁶³+53)/9 =: 8(1)₆₂7_<64>; = 6563 · 1582673 · 434539396153_<12> · 1141688232709_<13> · 10650295744531_<14> · 147791141619848009_<18>

(73·10⁶⁴+53)/9 =: 8(1)₆₃7_<65>; = 3 · 31699956683850695773051237_<26> · 852904542005600025391576396530086999747_<39>

(73·10⁶⁵+53)/9 =: 8(1)₆₄7_<66>; = 43 · 61 · 67 · 619 · 1199703252932436829_<19> · 6215023454642971176352971395070571948687_<40>

(73·10⁶⁶+53)/9 =: 8(1)₆₅7_<67>; = 7 · 394221991 · 2939283411843350794092890060844319387952992603931521238141_<58>

(73·10⁶⁷+53)/9 =: 8(1)₆₆7_<68>; = 3² · 229 · 39355221305730767157259151436735133969486225672542994231494959297_<65>

(73·10⁶⁸+53)/9 =: 8(1)₆₇7_<69>; = 6133 · 473211911 · 517805789 · 770996821039_<12> · 791068709296694893_<18> · 884948552590667353_<18>

(73·10⁶⁹+53)/9 =: 8(1)₆₈7_<70>; = 39209143 · 327624614897_<12> · 36457050386622013_<17> · 17319483993732088350384883792080679_<35>

(73·10⁷⁰+53)/9 =: 8(1)₆₉7_<71>; = 3 · 481619 · 46521274183_<11> · 1206712699015021582248220679168485644471897385630654307_<55>

(73·10⁷¹+53)/9 =: 8(1)₇₀7_<72>; = 109 · 895957 · 305022703537_<12> · 27229177297041201604118780548130232685544958542456557_<53>

(73·10⁷²+53)/9 =: 8(1)₇₁7_<73>; = 7 · 79 · 413464996673_<12> · 5237319212449_<13> · 6773410955658354258348873393171122044393057957_<46>

(73·10⁷³+53)/9 =: 8(1)₇₂7_<74>; = 3 · 367 · 2120093 · 57814926268503143_<17> · 601032758750357110206992760781476244333473908483_<48>

(73·10⁷⁴+53)/9 =: 8(1)₇₃7_<75>; = 19² · 283 · 467 · 5791 · 10818506224857381816507827_<26> · 271361960642571669488758836900059307961_<39>

(73·10⁷⁵+53)/9 =: 8(1)₇₄7_<76>; = 17 · 457 · 1481 · 2758462981_<10> · 13421870537499240703757720819_<29> · 19040570872818537676250754959827_<32>

(73·10⁷⁶+53)/9 =: 8(1)₇₅7_<77>; = 3³ · 98473 · 18384062672325071804611577936347_<32> · 1659426134824735910015498559718802987341_<40> (Makoto Kamada / msieve 0.83)

(73·10⁷⁷+53)/9 =: 8(1)₇₆7_<78>; = 239906027293440064447350689_<27> · 3380953451907249967879943684302628440621174347041453_<52>

(73·10⁷⁸+53)/9 =: 8(1)₇₇7_<79>; = 7 · 313 · 937 · 75805465751_<11> · 115901055490201_<15> · 449687142963999117889089884101472411122308388501_<48>

(73·10⁷⁹+53)/9 =: 8(1)₇₈7_<80>; = 3 · 371069 · 1310087 · 194229202620311_<15> · 286345101280826956838603139331538334075110676511468283_<54>

(73·10⁸⁰+53)/9 =: 8(1)₇₉7_<81>; = 1049 · 3299 · 13250819 · 17688044622312686266160721586673575602422669302832802314739906095693_<68>

(73·10⁸¹+53)/9 =: 8(1)₈₀7_<82>; = 89 · 13334197 · 32473044621604819_<17> · 244124018199946043706982639_<27> · 862164145252398756702261844789_<30>

(73·10⁸²+53)/9 =: 8(1)₈₁7_<83>; = 3 · 23 · 19823197880599540701727129951602161_<35> · 59300389196379243211302448630881749268520360313_<47> (Makoto Kamada / GGNFS-0.70.1 / 0.17 hours)

(73·10⁸³+53)/9 =: 8(1)₈₂7_<84>; = 113 · 50958639115113071_<17> · 6591248122916390143502653_<25> · 21370585710913087897514626888666294589743_<41>

(73·10⁸⁴+53)/9 =: 8(1)₈₃7_<85>; = 7 · 47 · 143574753821_<12> · 171714263882411496792496174226710104534329806735852471523702529067054313_<72>

(73·10⁸⁵+53)/9 =: 8(1)₈₄7_<86>; = 3² · 29 · 79 · 293 · 607 · 1301 · 98808433221534084690661_<23> · 719745279518215376810093_<24> · 239059664670097957364815441_<27>

(73·10⁸⁶+53)/9 =: 8(1)₈₅7_<87>; = 43 · 55639 · 377484546738627213158583133_<27> · 898118002704853070994459990176868059679727093511932837_<54>

(73·10⁸⁷+53)/9 =: 8(1)₈₆7_<88>; = 674790229 · 362938165717_<12> · 33119130418020162699052618936321986703662278505881763037760873567669_<68>

(73·10⁸⁸+53)/9 =: 8(1)₈₇7_<89>; = 3 · 71 · 157 · 247296619 · 9808055530491858624836883864672702926936166298095699031491777399326779748423_<76>

(73·10⁸⁹+53)/9 =: 8(1)₈₈7_<90>; = 757 · 734030845788124691_<18> · 23517685298856895871_<20> · 62069119724059523814886634629490013955648844319421_<50>

(73·10⁹⁰+53)/9 =: 8(1)₈₉7_<91>; = 7⁴ · 431 · 57667 · 184846912730318249093495753_<27> · 735311503341241138770426099924679602914725179511148057_<54>

(73·10⁹¹+53)/9 =: 8(1)₉₀7_<92>; = 3 · 17 · 107 · 53825353813633733_<17> · 276146474857622643261695231996669724376975275640782643602281717226479257_<72>

(73·10⁹²+53)/9 =: 8(1)₉₁7_<93>; = 19 · 5821 · 69163 · 640019 · 8677604867_<10> · 1087712520145506680879387033053_<31> · 17552883177220524482226257802659392189_<38> (Makoto Kamada / msieve 0.81 / 2.4 minutes)

(73·10⁹³+53)/9 =: 8(1)₉₂7_<94>; = 26237 · 311194159 · 993424207450052422265394391015786236638857438447919692336793977350186269010497599_<81>

(73·10⁹⁴+53)/9 =: 8(1)₉₃7_<95>; = 3² · 1627 · 46978571 · 24559128299_<11> · 290830902819030502363119679248825419_<36> · 16508096035503964309212568615774559269_<38> (Makoto Kamada / msieve 0.83)

(73·10⁹⁵+53)/9 =: 8(1)₉₄7_<96>; = 19387 · 4511123 · 22382567665543_<14> · 414357463226583956611147396188856225156020267497201145781630028392970219_<72>

(73·10⁹⁶+53)/9 =: 8(1)₉₅7_<97>; = 7 · 5623 · 206069741904705447298369226165776050179393590384164810627552935929247506697266611902927037197_<93>

(73·10⁹⁷+53)/9 =: 8(1)₉₆7_<98>; = 3 · 199 · 5381 · 414180121839053_<15> · 692228753942359_<15> · 193074797436874732331_<21> · 456119409027522325978714656511670623981613_<42>

(73·10⁹⁸+53)/9 =: 8(1)₉₇7_<99>; = 67 · 79 · 4894459 · 7416247 · 4221721460584878947600614334808959993408166392695055981531005328979438877759269253_<82>

(73·10⁹⁹+53)/9 =: 8(1)₉₈7_<100>; = 449272333 · 51223937288068349621801208863557468330570063_<44> · 352450165453982208101356410195982733128975901423_<48> (Makoto Kamada / GGNFS-0.71.4 / 0.57 hours)

(73·10¹⁰⁰+53)/9 =: 8(1)₉₉7_<101>; = 3 · 1811 · 13399 · 115764387895421315406884185827946408195287133_<45> · 9624834682658174276920764764174786414413908641647_<49> (Makoto Kamada / GGNFS-0.71.4 / 0.56 hours)

(73·10¹⁰¹+53)/9 =: 8(1)₁₀₀7_<102>; = 2858447 · 622316203 · 38522561947455443997902763106112987_<35> · 11836517257669882662882071389433418987260311357562251_<53> (juno1369 / Msieve v1.43 for P35 x P53 / 0.82 hours / Dec 28, 2009)

(73·10¹⁰²+53)/9 =: 8(1)₁₀₁7_<103>; = 7 · 27367 · 194069 · 598067731625433489234865144990900388471467_<42> · 364794750005354827030833798025213605939117294859291_<51> (juno1369 / Msieve 1.43 for P42 x P51 / 2.61 hours / Dec 29, 2009)

(73·10¹⁰³+53)/9 =: 8(1)₁₀₂7_<104>; = 3³ · 389 · 4441 · 6163 · 17471 · 21391 · 754996942466671173686066285616320998975955388623352341861435886152450255833686024353_<84>

(73·10¹⁰⁴+53)/9 =: 8(1)₁₀₃7_<105>; = 23 · 59 · 52067 · 22430044781_<11> · 511808868767460994136916715309669197558835299375765464600643174880486025272138111086103_<87>

(73·10¹⁰⁵+53)/9 =: 8(1)₁₀₄7_<106>; = 179 · 359 · 21269 · 19330551521_<11> · 71937765014437013_<17> · 12423821342435636608474230894375569_<35> · 343502115760281757618883387533358849_<36> (Makoto Kamada / Msieve 1.44 for P35 x P36 / Dec 26, 2009)

(73·10¹⁰⁶+53)/9 =: 8(1)₁₀₅7_<107>; = 3 · 2297 · 587201 · 28081202431_<11> · 325737999979459_<15> · 2299463498480296050373_<22> · 953017045679287177788463523373962268288151893178711_<51>

(73·10¹⁰⁷+53)/9 =: 8(1)₁₀₆7_<108>; = 17 · 43 · 562103 · 811724867 · 18300429221_<11> · 132885300861268548101525690361415314379827576753799458229809435513937231864289167_<81>

(73·10¹⁰⁸+53)/9 =: 8(1)₁₀₇7_<109>; = 7 · 10287310004221_<14> · 68324641514054998106753_<23> · 91502955867934170045472465270787_<32> · 18016399278343733149949156388392256834701_<41> (Makoto Kamada / Msieve 1.44 for P32 x P41 / Dec 26, 2009)

(73·10¹⁰⁹+53)/9 =: 8(1)₁₀₈7_<110>; = 3 · 3891446453_<10> · 6947811659130913149182432560388885566155068210837600605945440986140439907278106657539310881284028563_<100>

(73·10¹¹⁰+53)/9 =: 8(1)₁₀₉7_<111>; = 19 · 827 · 223423 · 12460578526577563698511278863556250895773871_<44> · 18541939288512124877673221403825333737766481760055168374173_<59> (juno1369 / Msieve 1.43 snfs / 1.61 hours / Dec 30, 2009)

(73·10¹¹¹+53)/9 =: 8(1)₁₁₀7_<112>; = 79 · 769 · 15217 · 1350977 · 9211482283715729_<16> · 705050788234569272539352873743461920761291988615855757027233967580651907259976547_<81>

(73·10¹¹²+53)/9 =: 8(1)₁₁₁7_<113>; = 3² · 659 · 2052875074741870417695478817_<28> · 118322201993232308204168823427867_<33> · 56301979147689985638131287295813264828707053223813_<50> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=2545526799 for P33 / Dec 25, 2009)

(73·10¹¹³+53)/9 =: 8(1)₁₁₂7_<114>; = 29 · 7937 · 27551 · 5013428217715612657_<19> · 6942089510134059210994937_<25> · 130055231524355047359402761497_<30> · 28257632258466700855152699800623_<32> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=490118306 for P30 / Dec 25, 2009)

(73·10¹¹⁴+53)/9 =: 8(1)₁₁₃7_<115>; = 7 · 112672914076753_<15> · 4367574102413326936556721115646557_<34> · 2354629071840639615590099160972319066050594197607217430722515473111_<67> (juno1369 / Msieve 1.43 snfs / 2.04 hours / Dec 30, 2009)

(73·10¹¹⁵+53)/9 =: 8(1)₁₁₄7_<116>; = 3 · 696827 · 1256429 · 17446015073_<11> · 340852541580186998234413939_<27> · 5193180217282978509530012403309619225396650183603760655542062719339_<67> (juno1369 / GMP-ECM 6.2.3 B1=250000, sigma=2866700313 for P27 / Dec 29, 2009)

(73·10¹¹⁶+53)/9 =: 8(1)₁₁₅7_<117>; = 757 · 1528789 · 105338475634607_<15> · 112104638388651784000199383548597161_<36> · 59350763544652311415152679228980494654029220277455271927427_<59> (juno1369 / Msieve 1.43 for P36 x P59 / 4.29 hours / Dec 29, 2009)

(73·10¹¹⁷+53)/9 =: 8(1)₁₁₆7_<118>; = 247225487 · 57711841507680491_<17> · 55057257348622991229962119895720041_<35> · 10325417092886776856446656385902665296693188953177972498561_<59> (juno1369 / Msieve 1.43 for P35 x P59 / 2.66 hours / Dec 28, 2009)

(73·10¹¹⁸+53)/9 =: 8(1)₁₁₇7_<119>; = 3 · 1038178937631371_<16> · 26042752416768014626855985688394241133568554202226822293759255894635783661236952711417030960893935745709_<104>

(73·10¹¹⁹+53)/9 =: 8(1)₁₁₈7_<120>; = 76500007 · 6613321108897125481_<19> · 51806319745671817972603_<23> · 103474186258853362396467881478649499_<36> · 299078025018669606363187180763945483_<36> (Makoto Kamada / Msieve 1.44 for P36 x P36 / Dec 26, 2009)

(73·10¹²⁰+53)/9 =: 8(1)₁₁₉7_<121>; = 7 · 269 · 1289 · 3849790554791_<13> · 4928798917649505399689975306668513_<34> · 176116039402804889481273305561348806375555227861413919486835737280777_<69> (juno1369 / Msieve 1.43 snfs / 2.27 hours / Dec 30, 2009)

(73·10¹²¹+53)/9 =: 8(1)₁₂₀7_<122>; = 3² · 1877 · 194706513771573413_<18> · 24660000884464391139179625923543356937999202943516326560347436589761158611292327056702242992106748413_<101>

(73·10¹²²+53)/9 =: 8(1)₁₂₁7_<123>; = 2687 · 598556539472972048127695960257_<30> · 504321524439073152777443986824990395821411863393094533961909982910365554159390023571810163_<90> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=3779937203 for P30 / Dec 25, 2009)

(73·10¹²³+53)/9 =: 8(1)₁₂₂7_<124>; = 17 · 71 · 307 · 3748614659_<10> · 1526008893358585225920732351717574027017596455084078703_<55> · 3826545143889515680557900251242310375250503214483528029_<55> (juno1369 / GGNFS + Msieve snfs / 3.39 hours / Jan 3, 2010)

(73·10¹²⁴+53)/9 =: 8(1)₁₂₃7_<125>; = 3 · 79 · 5717 · 22689642679855193929950368309374331716894969383124955851_<56> · 2638372768669009683409049140907966882808615447780456466294015223_<64> (Erik Branger / GGNFS, Msieve snfs / 3.08 hours / Jan 18, 2010)

(73·10¹²⁵+53)/9 =: 8(1)₁₂₄7_<126>; = 61 · 89 · 7109 · 12659 · 6788143 · 244569115150043293921406096542019616838278899203040495509466377753968522179224469157133631132034531889784681_<108>

(73·10¹²⁶+53)/9 =: 8(1)₁₂₅7_<127>; = 7 · 23 · 113179708608149_<15> · 791441482756084185191_<21> · 562428207119963407789017305716496068269561968579766636456588544698881335963671728683695583_<90>

(73·10¹²⁷+53)/9 =: 8(1)₁₂₆7_<128>; = 3 · 163 · 185936207 · 535280533 · 1066147427_<10> · 48688251203161_<14> · 108882123268925579479827719_<27> · 294868278807496764886296914960586419893677204426896613475291_<60>

(73·10¹²⁸+53)/9 =: 8(1)₁₂₇7_<129>; = 19 · 43 · 6203 · 4659197 · 39226182707257723_<17> · 7425902027878376094326259710821_<31> · 117928880912626379267008270559953435624686342191265121954275887053717_<69> (juno1369 / Msieve 1.43 snfs / 5.52 hours / Dec 29, 2009)

(73·10¹²⁹+53)/9 =: 8(1)₁₂₈7_<130>; = 3018783563_<10> · 107316288629929_<15> · 12687877515185948221_<20> · 13430061128768322366284708997667_<32> · 146931787596280269457343840160423556435481599219451165353_<57> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=712045089 for P32 / Dec 25, 2009)

(73·10¹³⁰+53)/9 =: 8(1)₁₂₉7_<131>; = 3⁶ · 47 · 169097 · 7875971647_<10> · 2704495892893_<13> · 12098578459878403788252736605458503_<35> · 54324313419155534317429552139816910647691666236365831565862532919_<65> (juno1369 / Msieve 1.43 snfs / 4.84 hours / Dec 31, 2009)

(73·10¹³¹+53)/9 =: 8(1)₁₃₀7_<132>; = 67 · 45121 · 73859 · 158930413670669_<15> · 5220906549801139_<16> · 4377946751102471097053030853445155851039972424935844716856175584878252568028823327425451299_<91>

(73·10¹³²+53)/9 =: 8(1)₁₃₁7_<133>; = 7² · 564269 · 478157752014427_<15> · 144037713956554289472387353971510618069_<39> · 4259421885991397832179548105297689347884949786481183807202527744210463639_<73> (juno1369 / ggnfs + msieve snfs / 5.99 hours / Jan 17, 2010)

(73·10¹³³+53)/9 =: 8(1)₁₃₂7_<134>; = 3 · 25951 · 1161929 · 325650293341_<12> · 121629518631371350446248499949_<30> · 22637837881032126712358380960656100977789151792603131418488320176883199796461623249_<83> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=3810152174 for P30 / Dec 25, 2009)

(73·10¹³⁴+53)/9 =: 8(1)₁₃₃7_<135>; = 193 · 11207069886113763490122332244943588751260774535448653785897_<59> · 374999735596041595200728140830981771273259795543228584103186291650760119877_<75> (Dmitry Domanov / GGNFS/msieve snfs / 7.15 hours / Dec 28, 2009)

(73·10¹³⁵+53)/9 =: 8(1)₁₃₄7_<136>; = 13211588753733908805466621755851252552475926032614891662130817_<62> · 613939115295177382999456500545990952152261251933687481845615901208005485901_<75> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / 3.96 hours / Dec 28, 2009)

(73·10¹³⁶+53)/9 =: 8(1)₁₃₅7_<137>; = 3 · 92639 · 6168096013_<10> · 3352711271557_<13> · 1016814619635084444969726624056432822055534417281_<49> · 13879575252546127967101570987951708454334345831164746868271281_<62> (juno1369 / GGNFS + Msieve snfs / 7.25 hours / Jan 4, 2010)

(73·10¹³⁷+53)/9 =: 8(1)₁₃₆7_<138>; = 79 · 70612088903_<11> · 13030877406858185094614153_<26> · 11158364424218821373118074954319795136240556201378703672527184264004371588753753809072655299277848797_<101>

(73·10¹³⁸+53)/9 =: 8(1)₁₃₇7_<139>; = 7 · 97 · 60816289767547294249914611663_<29> · 1881006318752934742776078262372181233_<37> · 104424018135397027538521421180052004430196899844849794609078881837909237_<72> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=2708498472 for P37 / Dec 25, 2009)

(73·10¹³⁹+53)/9 =: 8(1)₁₃₈7_<140>; = 3² · 17 · 143906933053623178779377272709_<30> · 4897133031784022852847743355915750444918480439_<46> · 752255376458486865885684529070279241924326272598795765285726839_<63> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=2206053082 for P30 / Dec 25, 2009) (juno1369 / GGNFS + Msieve snfs / 16.82 hours / Jan 3, 2010)

(73·10¹⁴⁰+53)/9 =: 8(1)₁₃₉7_<141>; = 3631 · 191195831 · 39136809523967_<14> · 893380385284771_<15> · 33415953031266296622177432426562727241805056886659386156211786353774503911170001803974236657141650521_<101>

(73·10¹⁴¹+53)/9 =: 8(1)₁₄₀7_<142>; = 29 · 747829 · 181709887 · 100133242747_<12> · 14886732204042677624540518223596561_<35> · 1380777924913989606529128904503409218613441212005716736609459206887797769628888153_<82> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=4115183934 for P35 / Dec 25, 2009)

(73·10¹⁴²+53)/9 =: 8(1)₁₄₁7_<143>; = 3 · 3803 · 7585504322398796604207592379_<28> · 25892790994585220860757993393055600042426463811514203273_<56> · 36196738864588306864977801297128252842044488227320821039_<56> (juno1369 / GGNFS + Msieve snfs / 15.08 hours / Jan 16, 2010)

(73·10¹⁴³+53)/9 =: 8(1)₁₄₂7_<144>; = 757 · 3634877307129738186019022041540048291079066655062659111654408962991_<67> · 294777760481506813103960828075281842473043461985574147443471434987112162391_<75> (Dmitry Domanov / GGNFS/msieve snfs / 13.30 hours / Dec 29, 2009)

(73·10¹⁴⁴+53)/9 =: 8(1)₁₄₃7_<145>; = 7 · 107 · 411233 · 31477848859092359_<17> · 555698873242014709_<18> · 1505448880374143714855423543016367303545134345088533993116932250064021438992270154924302172903393074171_<103>

(73·10¹⁴⁵+53)/9 =: 8(1)₁₄₄7_<146>; = 3 · 941447609 · 30326569657_<11> · 70034825700269_<14> · 4244442795445363325855330606221_<31> · 3185700280396892094798185622811767648069997040852289903844037471942822609128846247_<82> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=3891058682 for P31 / Dec 25, 2009)

(73·10¹⁴⁶+53)/9 =: 8(1)₁₄₅7_<147>; = 19 · 82883 · 34275341 · 210265526492861449_<18> · 1489304615474189828274945366705643096212760968899_<49> · 47987474339909728739490792928098002913092390501317080666389331546731_<68> (Sinkiti Sibata / Msieve 1.40 snfs / 14.93 hours / Jan 19, 2010)

(73·10¹⁴⁷+53)/9 =: 8(1)₁₄₆7_<148>; = 112786151573_<12> · 120749490302990783799959605193_<30> · 1708120723570426969324310756809683355264139184123883_<52> · 348674915690754508376606199270902128728059796219884200691_<57> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=4162488653 for P30 / Dec 25, 2009) (juno1369 / GGNFS + Msieve snfs / 23.04 hours / Jan 3, 2010)

(73·10¹⁴⁸+53)/9 =: 8(1)₁₄₇7_<149>; = 3² · 23 · 463 · 7877 · 2578057 · 909150727 · 6229032591539294759_<19> · 13950024020880353946851104237_<29> · 527526407039542433662271113975710732364989081006596008769512669528711478939413_<78>

(73·10¹⁴⁹+53)/9 =: 8(1)₁₄₈7_<150>; = 43 · 97363793 · 138244759 · 77733748223_<11> · 1675550863969141_<16> · 12503509555421827534907857508627_<32> · 860531117258789094707169113672374160889437471268403046267541475151041200017_<75> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=1927834895 for P32 / Dec 26, 2009)

(73·10¹⁵⁰+53)/9 =: 8(1)₁₄₉7_<151>; = 7 · 79 · 67619 · 67427671717901952324044891039484660300650380692362737_<53> · 3216979636700310025255182693910930838935247585191381929974026726672301117544807085238420263_<91> (Dmitry Domanov / Msieve 1.40 snfs / 13.31 hours / Dec 28, 2009)

(73·10¹⁵¹+53)/9 =: 8(1)₁₅₀7_<152>; = 3 · 134089 · 4839473063_<10> · 17400971249_<11> · 92286772420981_<14> · 71948727693984473_<17> · 348204921824170517_<18> · 68918451209054645998111188626911451_<35> · 15026622878899816860633741788073042417282563_<44> (Makoto Kamada / Msieve 1.45 for P35 x P44 / Mar 4, 2010)

(73·10¹⁵²+53)/9 =: 8(1)₁₅₁7_<153>; = 1745815306009_<13> · 7808022406911149174023_<22> · 59503293284718032581799524757551327206110095896958584775594038180374930758796002796257332998908484691447086661568280131_<119>

(73·10¹⁵³+53)/9 =: 8(1)₁₅₂7_<154>; = definitely prime number

(73·10¹⁵⁴+53)/9 =: 8(1)₁₅₃7_<155>; = 3 · 653 · 42953 · 46764253 · 147452204335915857445739994541_<30> · 139793552602618827382684497984354942835141436191042134136901854402332666593859108492679381780561090325880762827_<111> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=4235551558 for P30 / Mar 2, 2010)

(73·10¹⁵⁵+53)/9 =: 8(1)₁₅₄7_<156>; = 17 · 79133 · 84317 · 599475221085078562682979979960330682641_<39> · 1963100900913995135380675711855313984593_<40> · 6076378157884416294070105555159258175345832674287597905950115175157_<67> (Sinkiti Sibata / Msieve 1.40 snfs / Mar 6, 2010)

(73·10¹⁵⁶+53)/9 =: 8(1)₁₅₅7_<157>; = 7 · 15359 · 366994841 · 17925392154432989916583354024124347_<35> · 11468080835595191865753345461774481116757139225339632148244788517722813432367358565633210419965512640595595367_<110> (Sinkiti Sibata / Msieve 1.40 snfs / Mar 6, 2010)

(73·10¹⁵⁷+53)/9 =: 8(1)₁₅₆7_<158>; = 3³ · 599 · 142894468259_<12> · 16899191053779533_<17> · 476543795873340865965033756079_<30> · 2128831592037983135056857040111380449_<37> · 2047219007678516092686167010521258675322425085682056550956217_<61> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=3074832238 for P30 / Mar 2, 2010) (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=3904903848 for P37 / Mar 2, 2010)

(73·10¹⁵⁸+53)/9 =: 8(1)₁₅₇7_<159>; = 71 · 1733 · 1987 · 50595934686041701823_<20> · 65570719455670083652460294057920833198657316502788071689560136965403363336472565255592432588316279799424644440316750423586809839419_<131>

(73·10¹⁵⁹+53)/9 =: 8(1)₁₅₈7_<160>; = 8647 · 50221 · 104545621 · 523085323 · 1053205451_<10> · 22544473813_<11> · 6300715150786103_<16> · 585128479347218585312440631_<27> · 3901726921467421199706071228704484482678323358962569819131460590205449303_<73>

(73·10¹⁶⁰+53)/9 =: 8(1)₁₅₉7_<161>; = 3 · 32869 · 241921 · 999085593072864970429_<21> · 133870803008801051710203496272893256194485349_<45> · 25422044268995812704280508880344011903761008028544019465038976765785915326665903414291_<86> (Sinkiti Sibata / Msieve 1.40 snfs / Mar 6, 2010)

(73·10¹⁶¹+53)/9 =: 8(1)₁₆₀7_<162>; = 35955397 · 5495324536585396537540470189723989230042652116021927775564610982538531067163_<76> · 4105092209055912051049652225481315374083335206466886484084451456080384528524747_<79> (Dmitry Domanov / GGNFS/msieve snfs / Mar 8, 2010)

(73·10¹⁶²+53)/9 =: 8(1)₁₆₁7_<163>; = 7 · 59 · 158532804024781_<15> · 20171445202441436899_<20> · 19724245126089930807126500399_<29> · 8453231183029379626437805957673_<31> · 10523979029973651627654036858577_<32> · 3500024073000809321885473328634524209_<37> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=709269249 for P32 / Mar 2, 2010) (Makoto Kamada / Msieve 1.45 for P31 x P37 / Mar 4, 2010)

(73·10¹⁶³+53)/9 =: 8(1)₁₆₂7_<164>; = 3 · 79 · 263 · 5521 · 357806838561663169804823655737984164235083986346552131832328005837_<66> · 658733685326270270484301744475264396604114303780445027395322336414077093975250273310591491_<90> (Dmitry Domanov / Msieve 1.40 snfs / Mar 8, 2010)

(73·10¹⁶⁴+53)/9 =: 8(1)₁₆₃7_<165>; = 19 · 67 · 512841622409617_<15> · 718547535376713458738905550706787795543_<39> · 1729072396006237860557913643701335115599863200015537489835627694654573181238730643846313730947428568316642659_<109> (Sinkiti Sibata / Msieve 1.42 snfs / Mar 9, 2010)

(73·10¹⁶⁵+53)/9 =: 8(1)₁₆₄7_<166>; = 643 · 570373 · 121835805205544841623_<21> · 547532214014996573359319054326547_<33> · 3405811740779148900299187078031531_<34> · 97343098654394199754060388300746336798758548389117913633003331677537573_<71> (Serge Batalov / GMP-ECM B1=1500000, sigma=111487072 for P33 / Mar 5, 2010) (Dmitry Domanov / GGNFS/msieve gnfs for P34 x P71 / Mar 6, 2010)

(73·10¹⁶⁶+53)/9 =: 8(1)₁₆₅7_<167>; = 3² · 157 · 233 · 71483 · 390491 · 16071389 · 36566443 · 566594514050827_<15> · 8904270270944303_<16> · 2976882136382019989318241884124215389682247593711453160848684422610776085653174052660401259648867841731243_<106>

(73·10¹⁶⁷+53)/9 =: 8(1)₁₆₆7_<168>; = 601 · 5501 · 342606471029609_<15> · 287541311182833198054262597_<27> · 449611522698403509433939597_<27> · 527971565265417804380539307_<27> · 285008410472230968419794930708877_<33> · 36809742636755645402316898095587263_<35> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=2997575399 for P35 / Mar 2, 2010)

(73·10¹⁶⁸+53)/9 =: 8(1)₁₆₇7_<169>; = 7 · 764689943 · 2490976949684878788871_<22> · 608313176039119351872044364904560633373367605878064202025954268214178042425140094515293979165684426857045333457046622095394725461789920427_<138>

(73·10¹⁶⁹+53)/9 =: 8(1)₁₆₈7_<170>; = 3 · 29 · 89 · 152617748567123996009431_<24> · 68638225770744472591068404003753283371730597308040039476959954511214679524234081737756563711340236889087903924909659768333026064530639339258949_<143>

(73·10¹⁷⁰+53)/9 =: 8(1)₁₆₉7_<171>; = 23 · 43 · 677 · 757 · 1537223465136084283_<19> · 120458465687581815235459023537135685106836164050595707917_<57> · 8642217231443543059147166231865813117975343520576880809388786675261480079979243336242807_<88> (Sinkiti Sibata / Msieve 1.40 snfs / Mar 11, 2010)

(73·10¹⁷¹+53)/9 =: 8(1)₁₇₀7_<172>; = 17 · 16967823133_<11> · 591655305379632746067589_<24> · 5571068713079973625696269254936039922861914786570880202334935121_<64> · 8530962295089731548916109784275056155975218913754234288794561580702467613_<73> (Sinkiti Sibata / Msieve 1.40 snfs / May 13, 2010)

(73·10¹⁷²+53)/9 =: 8(1)₁₇₁7_<173>; = 3 · 1051 · 2113 · 38795147 · 687085243089370133761847_<24> · 1072816296263454757659833_<25> · 85431718385141657008914216359_<29> · 42783801362035939239527237854189_<32> · 116478290206682019948391965379545255745069015769099_<51> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=3631444413 for P32 / Mar 2, 2010)

(73·10¹⁷³+53)/9 =: 8(1)₁₇₂7_<174>; = 8978756348927_<13> · 7610748961124802299_<19> · 83177516352118148899_<20> · 144799672943759271000267751614947_<33> · 985514997632108992919519737077144541324461229294538693179063444828108618457614902061583393_<90> (ruffenach timothee / gnffs, Msieve 1.44 snfs / Apr 27, 2010)

(73·10¹⁷⁴+53)/9 =: 8(1)₁₇₃7_<175>; = 7² · 43189 · 683957 · 3703644523_<10> · 5861405182309_<13> · 78881783462459_<14> · 2055425809028913317_<19> · 1592108850490345181785047443841575768900349050612805641746438084874766893604460228407524941787061879405572101_<109>

(73·10¹⁷⁵+53)/9 =: 8(1)₁₇₄7_<176>; = 3² · 1109 · 2600903 · 247743464702099687570146106065596843731463850498465456380793_<60> · 12611882982818981569742424964730493200266281544513081170633245679063144653193990710410608293901061790172383_<107> (Dmitry Domanov / Msieve 1.40 snfs / Sep 3, 2011)

(73·10¹⁷⁶+53)/9 =: 8(1)₁₇₅7_<177>; = 47 · 79 · 9714041 · 969583183 · 42282013815989719077199268721606475001945021389114500343104955857766750453_<74> · 548548120368690771192885045530208149972351534770192936285082270027303943241854907951_<84> (Robert Backstrom / Msieve 1.44 snfs / Jan 9, 2012)

(73·10¹⁷⁷+53)/9 =: 8(1)₁₇₆7_<178>; = 198751277 · 4724455316116802587_<19> · 8104592443527747617_<19> · 20997729987883811018815983791981363_<35> · 50759244572754726540806879900106127244683624322649018524311800623632740586427301002784060156307873_<98> (Serge Batalov / GMP-ECM B1=1500000, sigma=4147580366 for P35 / Mar 5, 2010)

(73·10¹⁷⁸+53)/9 =: 8(1)₁₇₇7_<179>; = 3 · 8441998255773834206637333967747_<31> · 3202682139687162496856102754829359567790862037836391289169401054302109882766285664177734018130504781963590663964228323183235867727449383076665523237_<148> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=909508406 for P31 / Mar 2, 2010)

(73·10¹⁷⁹+53)/9 =: 8(1)₁₇₈7_<180>; = 109 · 44464533498611281799369361039634787_<35> · [167355547330802851463706777871172057377616150498854936582318565163083904190350600672902650821905317556952592844106376449129200795980933882296299_<144>] (Ignacio Santos / GMP-ECM B1=11000000, sigma=986939827 for P35 / Mar 4, 2010) SUBMIT/RESERVE

(73·10¹⁸⁰+53)/9 =: 8(1)₁₇₉7_<181>; = 7 · 181465621 · 123392009422763049513733941728076833937574531371463_<51> · 51748875219644766022469898858926294959395334362696033184695725860485070241264469701426760651026078875478212346300483749097_<122> (Robert Backstrom / Msieve 1.44 snfs / Jan 20, 2012)

(73·10¹⁸¹+53)/9 =: 8(1)₁₈₀7_<182>; = 3 · 51803627 · 1593439381_<10> · 273454175347_<12> · 1197784870205536449646311436390689953645614799631085246283984588282763749603343329206428245120032230281795564891336602003063072924014726470243920216781251_<154>

(73·10¹⁸²+53)/9 =: 8(1)₁₈₁7_<183>; = 19 · 131 · 5407 · 6163 · 13999 · [698569955363156155916378009762130579908514406411173750591239530658228444620288513986184310059874165278234111700169856431498347348243453549675150175707693412857272039367_<168>] SUBMIT/RESERVE

(73·10¹⁸³+53)/9 =: 8(1)₁₈₂7_<184>; = 223 · 2693 · 328373 · 969170226247_<12> · 1272545614097_<13> · 33350186838071566255351683027621038285482351894672451092876103002399658701479243429203824214099279626865504878030371125439565620194367109946816504029_<149>

(73·10¹⁸⁴+53)/9 =: 8(1)₁₈₃7_<185>; = 3³ · 149 · 3605150622869329_<16> · 3373739474164497861951441485191_<31> · 36906046711134916938186520671149_<32> · 5280092307901763914162506423117264061013_<40> · 8506606021274625825119162993392827032738697230383740017188602253_<64> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=680531150 for P31 / Mar 2, 2010) (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=138045694 for P32 / Mar 2, 2010) (Dmitry Domanov / GGNFS/msieve gnfs for P40 x P64 / Mar 5, 2010)

(73·10¹⁸⁵+53)/9 =: 8(1)₁₈₄7_<186>; = 61 · 13296903460837887067395264116575591985428051001821493624772313296903460837887067395264116575591985428051001821493624772313296903460837887067395264116575591985428051001821493624772313297_<185>

(73·10¹⁸⁶+53)/9 =: 8(1)₁₈₅7_<187>; = 7 · 18466681 · 9818598073_<10> · [6390634522335691944992885450418924606459081233253293175118024990265629008028437421529241594067449254505133914904830985801378586156559102428291450099771224702178203340987_<169>] SUBMIT/RESERVE

(73·10¹⁸⁷+53)/9 =: 8(1)₁₈₆7_<188>; = 3 · 17 · 95764337 · 200016889 · 83030891353108341907702480217309610853626300441626119925482793690465241761516419333959357604603431238721050727975437450413569038495600581626519524218554727566811454084519_<170>

(73·10¹⁸⁸+53)/9 =: 8(1)₁₈₇7_<189>; = 590921079213210541595808183938281669180770197234272207297_<57> · 6095516126264280663828889925657141920706667998040538329748207_<61> · 225185480048839791859793660477385346756785698320881454715964387995369923_<72> (Dmitry Domanov / ggnfs/msieve for P57 x P61 x P72 / Mar 21, 2010)

(73·10¹⁸⁹+53)/9 =: 8(1)₁₈₈7_<190>; = 79 · 2777 · 163841 · 134519268787_<12> · 1677529984968567264060640793588015052587451303909143998128454349660637858166411784471317523461534858018787601919550789601684797452268096194179140431022639988423185498297_<169>

(73·10¹⁹⁰+53)/9 =: 8(1)₁₈₉7_<191>; = 3 · 16804606791201059968811_<23> · [1608906258442994734091702664367276123368203533862954344817876997721870572294299594821085774716192203110231266362929358078968777157332971232789427819051100013281357302349_<169>] SUBMIT/RESERVE

(73·10¹⁹¹+53)/9 =: 8(1)₁₉₀7_<192>; = 43 · 181 · 356497409626148009035811717922059857860225205614413_<51> · 292332393015134467877912781565918378554950706681993558926970638135740187194457678578338987000300901921376540830389783592574851533316113623_<138> (Robert Backstrom / Msieve 1.42 snfs / Mar 6, 2010)

(73·10¹⁹²+53)/9 =: 8(1)₁₉₁7_<193>; = 7 · 23 · 536100638526559551706103_<24> · 3189889236329270001157252844333_<31> · [29459986737875243799532313446430631894691224036718778634483848781514769077873692953443912556230744269249558723621177890358913688979967303_<137>] (Serge Batalov / GMP-ECM B1=1500000, sigma=3682180613 for P31 / Mar 5, 2010) SUBMIT/RESERVE

(73·10¹⁹³+53)/9 =: 8(1)₁₉₂7_<194>; = 3² · 71 · 24551 · 2952483749_<10> · 89101482249607_<14> · 1277792110012573_<16> · 75695634409939456797914055920563_<32> · 203192103463353828169867503501187033687655229886278526966431937099837521585241357554423002086963578191103390813699329_<117> (Serge Batalov / GMP-ECM B1=1500000, sigma=180958772 for P32 / Mar 5, 2010)

(73·10¹⁹⁴+53)/9 =: 8(1)₁₉₃7_<195>; = definitely prime number

(73·10¹⁹⁵+53)/9 =: 8(1)₁₉₄7_<196>; = 113 · 84987054153562333_<17> · 15085296440155541141333743873729726661_<38> · [55988042352310604286149298179472205717375871806921287891832047902566094941448494010759744584849546295188863217405657817454097415901185404493_<140>] (Ignacio Santos / GMP-ECM 6.3 B1=11000000, sigma=2168359295 for P38 / Mar 27, 2011) SUBMIT/RESERVE

(73·10¹⁹⁶+53)/9 =: 8(1)₁₉₅7_<197>; = 3 · 199 · 857 · 158535014846912726039984268114417109098802278821394235102214907894413942741930404865852231032859965152700709129293122772773066247439279460529233313809637669309423647039380314859226336097271873_<192>

(73·10¹⁹⁷+53)/9 =: 8(1)₁₉₆7_<198>; = 29 · 67 · 107 · 757 · 37493 · 3004063137828015611286376480353160840677825583135053512856018306551219800861_<76> · 45758169724153589691801149204769613764215945874623302839610683881263453455861694437491262637472860175453761997_<110> (matsui / Msieve 1.48 snfs / Oct 31, 2010)

(73·10¹⁹⁸+53)/9 =: 8(1)₁₉₇7_<199>; = 7 · 1474314204582441121560966966847379159525853599903543632140282943438409_<70> · 785945190739267904237801708182742885793680395063859588291133674392161518247841561952994481695367396508860527985091188551011281459_<129> (Dmitry Domanov / GGNFS/msieve snfs / Apr 12, 2010)

(73·10¹⁹⁹+53)/9 =: 8(1)₁₉₈7_<200>; = 3 · 3289749075570222916020761_<25> · 313915317877422142901615311141_<30> · [26180854328760268978306717491342558362472315748180889032259296703748275507371427520691861348524108962920712975088930234444805432943652341196313339_<146>] (Ignacio Santos / GMP-ECM 6.3 B1=1000000, sigma=3187340288 for P30 / Mar 27, 2011) SUBMIT/RESERVE

(73·10²⁰⁰+53)/9 =: 8(1)₁₉₉7_<201>; = 19 · 7103 · 8537 · 18523 · 11899001 · 50493345926575916113_<20> · 63259197156806738384263340934055438243951299091730463875719627627427182669561259061163836130276950221903841279570026996263054618389704383548050909152020882323987_<161>

4. References

A103072 - OEIS (The OEIS Foundation Inc.)