PRP Records

Probable Primes Top 10000

(180278 PRPs in the top)


What is a PRP ?

A PRP is a probable prime number, a number that nobody knows how to prove or disprove its primality.
Here are some criterions that can be used to recognize these numbers :

- N does not have any prime factor up to 2^32.
- N cannot be trivially written into a product.
- Take 3 square-free consecutive bases such that (b1/N)=(b2/N)=(b3/N)= -1. N should be such that b1^((N-1)/2)=b2^((N-1)/2)=b3^((N-1)/2)= -1 (mod N).
- Take a prime base such that (b/N)= -1 and b<>b1<>b2<>b3. N should pass the strong test in base b.
- or more (if someone has got an idea) !!!


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1-250   251-500   501-750   751-1000   1001-1250   1251-1500   1501-1750   1751-2000   
2001-2250   2251-2500   2501-2750   2751-3000   3001-3250   3251-3500   3501-3750   3751-4000   
4001-4250   4251-4500   4501-4750   4751-5000   5001-5250   5251-5500   5501-5750   5751-6000   
6001-6250   6251-6500   6501-6750   6751-7000   7001-7250   7251-7500   7501-7750   7751-8000   
8001-8250   8251-8500   8501-8750   8751-9000   9001-9250   9251-9500   9501-9750   9751-10000   


Rank Probable prime Digits (> 30000) Who ? When ?
7512^640888-2785619192927Enzo Doria10/2015
7522^640874-2783741192923Enzo Doria09/2015
7532^640181+467192714Lelio R Paula08/2013
7542^639536-1850249192520Enzo Doria08/2015
7552^639110-2792441192392Enzo Doria02/2016
7562^638955-29827192345Enzo Doria08/2015
7572^638713-2784223192272Enzo Doria10/2015
7582^638490-113507192205Enzo Doria08/2014
7592^638189-39943192115Enzo Doria09/2015
7602^638110+1877119192091Enzo Doria07/2016
7612^638066-2785211192078Enzo Doria10/2015
7622^637475-115309191900Enzo Doria07/2015
7632^636661+1876577191655Enzo Doria07/2016
7642^636177-1855123191509Enzo Doria09/2015
7652^636158-113627191503Enzo Doria08/2014
766(37*25^136966+63)/4191472Curtis Bright05/2015
7672^636035+79823191466Enzo Doria06/2016
7682^636011-1860847191459Enzo Doria11/2015
7692^635926-1860611191433Enzo Doria11/2015
7703*10^191152-7191153Robert Price08/2015
7712^634883-1865677191119Enzo Doria02/2016
7722^634801+1871957191095Enzo Doria05/2016
773(35*10^191073+1)/9191074Serge Batalov07/2010
7742^634470-59861190995Enzo Doria11/2015
7752^634368-29519190964Enzo Doria08/2015
7762^634188-350609190910Enzo Doria06/2015
7772^633088-113879190579Enzo Doria10/2014
7782^633064+1874911190572Enzo Doria06/2016
7792^632795-351205190491Enzo Doria06/2015
7802^632156+78391190298Enzo Doria06/2016
7812^632082-1851971190276Enzo Doria08/2015
7822^632020+1880311190257Enzo Doria09/2016
7832^631637-462373190142Enzo Doria08/2015
7842^631122-39251189987Enzo Doria08/2015
7852^630839-97189902Yves Minet07/2017
7862^630359+1788953189757Enzo Doria05/2016
7872^630228+1871971189718Enzo Doria05/2016
7882^630108+781189682Lelio R Paula08/2013
7892^629870-1867811189610Enzo Doria04/2016
7902^629326+2792929189447Enzo Doria02/2016
791(10^189385-61)/3189385Serge Batalov12/2014
7922^629036+1874011189359Enzo Doria06/2016
7932^628930+80779189327Enzo Doria07/2016
7942^628582+1179439189223Enzo Doria06/2016
7952^627037-2785843188757Enzo Doria10/2015
796L(901657)188436Renaud Lifchitz11/2008
7972^625651+74213188340Enzo Doria04/2016
7982^625584-460919188320Enzo Doria06/2015
799(10^188164+359)/9188164Serge Batalov12/2014
8002^624481-113611187988Enzo Doria08/2014
8012^624077-112723187866Enzo Doria07/2014
8022^624008+1874941187846Enzo Doria06/2016
8032^623870+78679187804Enzo Doria05/2016
8042^623714-114035187757Enzo Doria11/2014
8052^623651-1834251187738Enzo Doria07/2015
8062^623146+1879609187586Enzo Doria09/2016
8072^622500+81931187392Enzo Doria08/2016
8082^622300-1861739187331Enzo Doria12/2015
8092^622052+76771187257Enzo Doria05/2016
8102^622005-24091187243Enzo Doria08/2013
8112^621879-351787187205Enzo Doria07/2015
8122^621700+79411187151Enzo Doria06/2016
8132^620929-113203186919Enzo Doria07/2014
8142^620347-1777186744Lelio R Paula07/2013
81511^179143-4170186559Enzo Doria12/2012
816(5^266863+1)/6186529Paul Bourdelais07/2010
8172^619297-2792353186427Enzo Doria02/2016
8182^618940-460139186320Enzo Doria06/2015
8192^618046+74179186051Enzo Doria04/2016
8202*10^185930-3185931Robert Price07/2015
8212^617250+9385185811Lelio R Paula07/2013
82239^116749+2185756Robert Price04/2015
8232^616924-39719185713Enzo Doria09/2015
8242^616712+1867621185649Enzo Doria04/2016
825(3^388897+2^388897)/5185551Jean-Louis Charton09/2011
8264*10^185355+9185356Robert Price05/2015
8272^615622+76639185321Enzo Doria05/2016
8282^615591+1879223185312Enzo Doria08/2016
8292^615503+1876643185285Enzo Doria07/2016
8305^265007-4^265007185232Jean-Louis Charton02/2013
8312^614783-2790097185069Enzo Doria12/2015
8322^614745-29323185057Enzo Doria07/2015
833(((((((((((2^3+3)^3+30)^3+6)^3+80)^3+12)^3+450)^3+894)^3+3636)^3+70756)^3+97220)^3+66768)^3+300840185052Serge Batalov07/2013
8342^614315+81353184928Enzo Doria08/2016
8352^614294-1849961184921Enzo Doria08/2015
8362^614266+1877809184913Enzo Doria08/2016
8372^613715-1860727184747Enzo Doria11/2015
8382^613487-349987184678Enzo Doria07/2015
83914^161089-161089^14184629Serge Batalov05/2016
8402^613033-114621184542Enzo Doria05/2015
841(9^193247+1)/10184404Paul Bourdelais02/2010
8422^612341-1604809184334Enzo Doria05/2015
843(2^611999-1)/18464214225958267477777390354183184199Dario Alpern06/2017
8443*10^184124-7184125Robert Price08/2015
8452^611628-24537184119Enzo Doria08/2013
8462^611460+71881184068Enzo Doria04/2016
8472^610982-1867301183924Enzo Doria03/2016
8482^610597+1178897183809Enzo Doria05/2016
849(28*10^183760-1)/9183761Serge Batalov10/2014
8502^610401+1277183750Lelio R Paula07/2013
8512^610356-1849019183736Enzo Doria08/2015
8522^609846-1834251183582Enzo Doria07/2015
85311^176176-240183469Enzo Doria11/2012
8542^608965-113989183317Enzo Doria10/2014
855A005165(43592)183312Serge Batalov07/2017
8562^608814-461261183272Enzo Doria06/2015
857(163*10^183227-1)/9183229Serge Batalov12/2014
8582^608293+143807183115Enzo Doria10/2016
8592^608164-462419183076Enzo Doria08/2015
8602^607950-1862303183012Enzo Doria12/2015
8612^607101+1871987182756Enzo Doria05/2016
8622^606869-69175182686Enzo Doria11/2015
8632^606560-357182593Enzo Doria05/2014
8642^605687+1866983182330Enzo Doria03/2016
8652^605655-114445182321Enzo Doria02/2015
866(20^140053+1)/21182212Paul Bourdelais04/2010
8672^605174-112751182176Enzo Doria06/2014
8682^604761+1874507182052Enzo Doria06/2016
8692^604705+1871957182035Enzo Doria05/2016
8702^603915+75233181797Enzo Doria04/2016
87111^174145-360181354Enzo Doria10/2012
8722^602351-396765181326Enzo Doria08/2013
8732^601957-113833181208Enzo Doria09/2014
87466^99581-65^99581181193Robert Price09/2013
87510^181182+383973181183Patrick De Geest04/2016
87610^181182-21181182Serge Batalov12/2014
8772^601521-29143181076Enzo Doria07/2015
8782^601442-2797811181053Enzo Doria04/2016
8795*10^180992-9180993Robert Price05/2015
88010^180979+79477180980Patrick De Geest04/2016
88110^180979+107739180980Patrick De Geest04/2016
88210^180979-11180979Serge Batalov12/2014
8832^601023-113851180926Enzo Doria10/2014
8842^600300-1852559180709Enzo Doria08/2015
885(10^180689+71)/9180689Serge Batalov07/2015
8862^600209+76487180681Enzo Doria05/2016
8872^599702-369885180529Enzo Doria11/2013
888Tau(643^11688)180524Nik Lygeros / Olivier Rozier05/2015
889(2951*29^123418-3)/4180490Curtis Bright05/2015
8902^598942+80779180300Enzo Doria07/2016
8912^598591-1844797180194Enzo Doria06/2015
892(100^90089+1)/101180176Paul Bourdelais08/2017
893Gamma-Prime(179849)179849Eric W. Weisstein06/2011
8942^597424-1859729179843Enzo Doria11/2015
895Phi(180683,10)179760Maksym Voznyy09/2015
896(10^180683-1)*9/(10^643-1)/(10^281-1)179760Robert Price07/2016
897(3^376657-2^376657)/22301107657179701Mike Oakes04/2017
8982^596690-461261179622Enzo Doria07/2015
8992^596684-113939179620Enzo Doria10/2014
9003^375887-112696179344Enzo Doria07/2014
9012^595144-1850429179157Enzo Doria08/2015
9022^594531+82253178972Enzo Doria09/2016
9032^594260-2787899178891Enzo Doria11/2015
90410^178695+136719178696Patrick De Geest05/2016
90510^178695-71178695Serge Batalov12/2014
906(2^148330+1)^4-2178608Cletus Emmanuel12/2003
9072^593178+1867219178565Enzo Doria03/2016
908(18^142031-1)/17178287Paul Bourdelais03/2010
9092^591872-291929178172Enzo Doria07/2015
9102^591682-286871178115Enzo Doria07/2015
9114*10^178091+9178092Robert Price05/2015
912410747#+478483178007Makoto Morimoto02/2016
9132^590762-396765177838Enzo Doria08/2013
914(136*10^177754-1)/9177756Serge Batalov12/2014
915ReverseConsecutiveIntegerPrime(37765)177719Eric W. Weisstein04/2010
9162^589204+1881151177369Enzo Doria11/2016
9172^589132-69479177347Enzo Doria01/2016
9182^588912-113519177281Enzo Doria08/2014
91915^150706+2177245Robert Price06/2015
9202^588194-1861001177065Enzo Doria11/2015
9212^587560-113699176874Enzo Doria09/2014
9225^252763-12862176674Enzo Doria05/2014
9232^586804+81721176646Enzo Doria08/2016
9242^586570+1874419176576Enzo Doria06/2016
9252^585994-3311176402Yves Minet12/2014
9262^585832-112799176354Enzo Doria07/2014
9272^585336-461039176204Enzo Doria06/2015
9282^585095-1848127176132Enzo Doria08/2015
9292^584950-115451176088Enzo Doria07/2015
9302^584671-3697176004Yves Minet03/2017
93110^175608+2971175609Mike Oakes05/2010
93210^175608-55829175608Patrick De Geest09/2013
9332^583051+1879793175516Enzo Doria09/2016
9342^582860-23829175459Enzo Doria08/2013
9352^582670-23913175402Enzo Doria08/2013
9362^582573-29563175372Enzo Doria08/2015
9372^582435-1862767175331Enzo Doria12/2015
9382^582072-1848599175222Enzo Doria08/2015
9392^581560+1874911175068Enzo Doria06/2016
9402^580528-114035174757Enzo Doria11/2014
9412^580046-459161174612Enzo Doria05/2015
9422^579992-39779174595Enzo Doria09/2015
943(2^578696+1)/257174203Lelio R Paula09/2015
9442^578656-1851809174193Enzo Doria08/2015
9452^578583-113917174171Enzo Doria10/2014
9462^578434-83174126Yves Minet07/2017
94715^148048-2174118Robert Price06/2015
9482^578346+2794249174100Enzo Doria03/2016
949(L!41532)/2173772Serge Batalov07/2017
9502^577146-49877173739Enzo Doria10/2015
9512^576889+49727173661Enzo Doria09/2016
952(2^576551-1)/4612409/64758208321/242584327930759173528Dario Alpern06/2014
9532^576016-113919173399Enzo Doria11/2014
9542^575911-1849387173367Enzo Doria08/2015
9552^575196-114053173152Enzo Doria11/2014
9562^574591-115387172970Enzo Doria07/2015
9572^574328+81121172890Enzo Doria07/2016
958(115*10^172862-1)/3172864Serge Batalov12/2014
9594*5^247217-9172798Lelio R Paula10/2015
9602^573668-2782319172692Enzo Doria09/2015
9612^573444-1855109172624Enzo Doria09/2015
9623^361608+2172531Robert Price08/2014
9632^572592-114893172368Enzo Doria05/2015
9645^246497-4^246497172295Jean-Louis Charton11/2008
965(36^110503+1)/37171975Lelio R Paula04/2017
9662^570980-2782289171883Enzo Doria09/2015
967(2^(12*47563+13)-9)/7171818Kevin Acres11/2013
9682^569563-1854607171456Enzo Doria09/2015
9692^568642+1876129171179Enzo Doria07/2016
970(58*10^170842+221)/9170843Robert Price02/2017
97111^164009-270170798Enzo Doria10/2012
9723^357706-112358170670Enzo Doria07/2014
973TheodorusPrime(170657)170657Eric W. Weisstein08/2013
9742^566871+1876163170646Enzo Doria07/2016
9752^566496+7170533Donovan Johnson07/2006
976(7^201653+1)/8170416Paul Bourdelais02/2010
9772^565183-352021170138Enzo Doria07/2015
9782^565143-114457170125Enzo Doria02/2015
9792^564976-49869170075Enzo Doria10/2015
9802^564526-351401169940Enzo Doria07/2015
98121^128327-20^128327169677Jean-Louis Charton11/2014
9822^562749+2793047169405Enzo Doria02/2016
983(154*10^169337-1)/9169339Serge Batalov12/2014
9842^562369-29503169290Enzo Doria08/2015
9852^560405-39943168699Enzo Doria09/2015
9862^559686-350471168483Enzo Doria06/2015
9872^559672-1855889168479Enzo Doria09/2015
9882^559000-59939168276Enzo Doria11/2015
9892^558640-114149168168Enzo Doria12/2014
9902^558498-1849277168125Enzo Doria08/2015
9912^558476-1850249168119Enzo Doria08/2015
9922^558150-1852211168020Enzo Doria08/2015
9932^558125-113661168013Enzo Doria09/2014
994393^64747-392^64747167980Jean-Louis Charton08/2012
99539^105456+2167788Robert Price04/2015
9962^556504-462059167525Enzo Doria07/2015
9975*10^167510+9167511Robert Price08/2015
9982^555343+1874333167175Enzo Doria06/2016
9992^555210-461261167135Enzo Doria07/2015
10002^554372+1880527166883Enzo Doria11/2016


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: August, 20 2017 08:36 (Time in France)

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