PRP Records

Probable Primes Top 10000

(183432 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 ?
7512^644043+1876703193877Enzo Doria07/2016
7522^643735+1879733193784Enzo Doria09/2016
753(5^277183+1)/6193742Paul Bourdelais07/2010
7542^643216-286565193628Enzo Doria07/2015
7552^642888-24965193529Enzo Doria09/2013
7562^642448-114825193397Enzo Doria05/2015
7572^642437-1856623193393Enzo Doria10/2015
7582^642039-59797193273Enzo Doria11/2015
7592^641692-286349193169Enzo Doria07/2015
7602^641690-24737193168Enzo Doria09/2013
7612^641514+1876549193115Enzo Doria07/2016
7622^640888-2785619192927Enzo Doria10/2015
7632^640874-2783741192923Enzo Doria09/2015
7642^640181+467192714Lelio R Paula08/2013
7652^639536-1850249192520Enzo Doria08/2015
7662^639110-2792441192392Enzo Doria02/2016
7672^638955-29827192345Enzo Doria08/2015
7682^638713-2784223192272Enzo Doria10/2015
7692^638490-113507192205Enzo Doria08/2014
7702^638189-39943192115Enzo Doria09/2015
7712^638110+1877119192091Enzo Doria07/2016
7722^638066-2785211192078Enzo Doria10/2015
7732^637475-115309191900Enzo Doria07/2015
7742^636661+1876577191655Enzo Doria07/2016
7752^636177-1855123191509Enzo Doria09/2015
7762^636158-113627191503Enzo Doria08/2014
777(37*25^136966+63)/4191472Curtis Bright05/2015
7782^636035+79823191466Enzo Doria06/2016
7792^636011-1860847191459Enzo Doria11/2015
7802^635926-1860611191433Enzo Doria11/2015
7813*10^191152-7191153Robert Price08/2015
7822^634883-1865677191119Enzo Doria02/2016
7832^634801+1871957191095Enzo Doria05/2016
784(35*10^191073+1)/9191074Serge Batalov07/2010
7852^634470-59861190995Enzo Doria11/2015
7862^634368-29519190964Enzo Doria08/2015
7872^634188-350609190910Enzo Doria06/2015
7882^633088-113879190579Enzo Doria10/2014
7892^633064+1874911190572Enzo Doria06/2016
7902^632795-351205190491Enzo Doria06/2015
7912^632156+78391190298Enzo Doria06/2016
7922^632082-1851971190276Enzo Doria08/2015
7932^632020+1880311190257Enzo Doria09/2016
7942^631637-462373190142Enzo Doria08/2015
7952^631122-39251189987Enzo Doria08/2015
7962^630839-97189902Yves Minet07/2017
7972^630359+1788953189757Enzo Doria05/2016
7982^630228+1871971189718Enzo Doria05/2016
7992^630108+781189682Lelio R Paula08/2013
8002^629870-1867811189610Enzo Doria04/2016
8012^629326+2792929189447Enzo Doria02/2016
802(10^189385-61)/3189385Serge Batalov12/2014
8032^629036+1874011189359Enzo Doria06/2016
8042^628930+80779189327Enzo Doria07/2016
8052^628582+1179439189223Enzo Doria06/2016
8062^627037-2785843188757Enzo Doria10/2015
807L(901657)188436Renaud Lifchitz11/2008
8082^625651+74213188340Enzo Doria04/2016
8092^625584-460919188320Enzo Doria06/2015
810(10^188164+359)/9188164Serge Batalov12/2014
8112^624481-113611187988Enzo Doria08/2014
8122^624077-112723187866Enzo Doria07/2014
8132^624008+1874941187846Enzo Doria06/2016
8142^623870+78679187804Enzo Doria05/2016
8152^623714-114035187757Enzo Doria11/2014
8162^623651-1834251187738Enzo Doria07/2015
8172^623146+1879609187586Enzo Doria09/2016
8182^622500+81931187392Enzo Doria08/2016
8192^622300-1861739187331Enzo Doria12/2015
8202^622052+76771187257Enzo Doria05/2016
8212^622005-24091187243Enzo Doria08/2013
8222^621879-351787187205Enzo Doria07/2015
8232^621700+79411187151Enzo Doria06/2016
8242^620929-113203186919Enzo Doria07/2014
8252^620347-1777186744Lelio R Paula07/2013
82611^179143-4170186559Enzo Doria12/2012
827(5^266863+1)/6186529Paul Bourdelais07/2010
8282^619297-2792353186427Enzo Doria02/2016
8292^618940-460139186320Enzo Doria06/2015
8302^618046+74179186051Enzo Doria04/2016
8312*10^185930-3185931Robert Price07/2015
8322^617250+9385185811Lelio R Paula07/2013
83339^116749+2185756Robert Price04/2015
8342^616924-39719185713Enzo Doria09/2015
8352^616712+1867621185649Enzo Doria04/2016
836(3^388897+2^388897)/5185551Jean-Louis Charton09/2011
8374*10^185355+9185356Robert Price05/2015
8382^615622+76639185321Enzo Doria05/2016
8392^615591+1879223185312Enzo Doria08/2016
8402^615503+1876643185285Enzo Doria07/2016
8415^265007-4^265007185232Jean-Louis Charton02/2013
8422^614783-2790097185069Enzo Doria12/2015
8432^614745-29323185057Enzo Doria07/2015
844(((((((((((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
8452^614315+81353184928Enzo Doria08/2016
8462^614294-1849961184921Enzo Doria08/2015
8472^614266+1877809184913Enzo Doria08/2016
8482^613715-1860727184747Enzo Doria11/2015
8492^613487-349987184678Enzo Doria07/2015
85014^161089-161089^14184629Serge Batalov05/2016
8512^613033-114621184542Enzo Doria05/2015
852(9^193247+1)/10184404Paul Bourdelais02/2010
8532^612341-1604809184334Enzo Doria05/2015
854(2^611999-1)/18464214225958267477777390354183184199Dario Alpern06/2017
8553*10^184124-7184125Robert Price08/2015
8562^611628-24537184119Enzo Doria08/2013
8572^611460+71881184068Enzo Doria04/2016
8582^610982-1867301183924Enzo Doria03/2016
8592^610597+1178897183809Enzo Doria05/2016
860(28*10^183760-1)/9183761Serge Batalov10/2014
8612^610401+1277183750Lelio R Paula07/2013
8622^610356-1849019183736Enzo Doria08/2015
8632^609846-1834251183582Enzo Doria07/2015
86411^176176-240183469Enzo Doria11/2012
8652^608965-113989183317Enzo Doria10/2014
866A005165(43592)183312Serge Batalov07/2017
8672^608814-461261183272Enzo Doria06/2015
868(163*10^183227-1)/9183229Serge Batalov12/2014
8692^608293+143807183115Enzo Doria10/2016
8702^608164-462419183076Enzo Doria08/2015
8712^607950-1862303183012Enzo Doria12/2015
8722^607101+1871987182756Enzo Doria05/2016
8732^606869-69175182686Enzo Doria11/2015
8742^606560-357182593Enzo Doria05/2014
8752^605687+1866983182330Enzo Doria03/2016
8762^605655-114445182321Enzo Doria02/2015
877(20^140053+1)/21182212Paul Bourdelais04/2010
8782^605174-112751182176Enzo Doria06/2014
8792^604761+1874507182052Enzo Doria06/2016
8802^604705+1871957182035Enzo Doria05/2016
8812^603915+75233181797Enzo Doria04/2016
88211^174145-360181354Enzo Doria10/2012
8832^602351-396765181326Enzo Doria08/2013
8842^601957-113833181208Enzo Doria09/2014
88566^99581-65^99581181193Robert Price09/2013
88610^181182+383973181183Patrick De Geest04/2016
88710^181182-21181182Serge Batalov12/2014
8882^601521-29143181076Enzo Doria07/2015
8892^601442-2797811181053Enzo Doria04/2016
8905*10^180992-9180993Robert Price05/2015
89110^180979+79477180980Patrick De Geest04/2016
89210^180979+107739180980Patrick De Geest04/2016
89310^180979-11180979Serge Batalov12/2014
8942^601023-113851180926Enzo Doria10/2014
8952^600300-1852559180709Enzo Doria08/2015
896(10^180689+71)/9180689Serge Batalov07/2015
8972^600209+76487180681Enzo Doria05/2016
8982^599702-369885180529Enzo Doria11/2013
899Tau(643^11688)180524Nik Lygeros / Olivier Rozier05/2015
900(2951*29^123418-3)/4180490Curtis Bright05/2015
9012^598942+80779180300Enzo Doria07/2016
9022^598591-1844797180194Enzo Doria06/2015
903(100^90089+1)/101180176Paul Bourdelais08/2017
904Gamma-Prime(179849)179849Eric W. Weisstein06/2011
9052^597424-1859729179843Enzo Doria11/2015
906Phi(180683,10)179760Maksym Voznyy09/2015
907(10^180683-1)*9/(10^643-1)/(10^281-1)179760Robert Price07/2016
908(3^376657-2^376657)/22301107657179701Mike Oakes04/2017
9092^596690-461261179622Enzo Doria07/2015
9102^596684-113939179620Enzo Doria10/2014
9113^375887-112696179344Enzo Doria07/2014
9122^595144-1850429179157Enzo Doria08/2015
9132^594531+82253178972Enzo Doria09/2016
9142^594260-2787899178891Enzo Doria11/2015
91510^178695+136719178696Patrick De Geest05/2016
91610^178695-71178695Serge Batalov12/2014
917(2^148330+1)^4-2178608Cletus Emmanuel12/2003
9182^593178+1867219178565Enzo Doria03/2016
919(18^142031-1)/17178287Paul Bourdelais03/2010
9202^591872-291929178172Enzo Doria07/2015
9212^591682-286871178115Enzo Doria07/2015
9224*10^178091+9178092Robert Price05/2015
923410747#+478483178007Makoto Morimoto02/2016
9242^590762-396765177838Enzo Doria08/2013
925(136*10^177754-1)/9177756Serge Batalov12/2014
926ReverseConsecutiveIntegerPrime(37765)177719Eric W. Weisstein04/2010
9272^589204+1881151177369Enzo Doria11/2016
9282^589132-69479177347Enzo Doria01/2016
9292^588912-113519177281Enzo Doria08/2014
93015^150706+2177245Robert Price06/2015
9312^588194-1861001177065Enzo Doria11/2015
9322^587560-113699176874Enzo Doria09/2014
9335^252763-12862176674Enzo Doria05/2014
9342^586804+81721176646Enzo Doria08/2016
9352^586570+1874419176576Enzo Doria06/2016
9362^585994-3311176402Yves Minet12/2014
9372^585832-112799176354Enzo Doria07/2014
9382^585336-461039176204Enzo Doria06/2015
9392^585095-1848127176132Enzo Doria08/2015
9402^584950-115451176088Enzo Doria07/2015
9412^584671-3697176004Yves Minet03/2017
94210^175608+2971175609Mike Oakes05/2010
94310^175608-55829175608Patrick De Geest09/2013
9442^583051+1879793175516Enzo Doria09/2016
9452^582860-23829175459Enzo Doria08/2013
9462^582670-23913175402Enzo Doria08/2013
9472^582573-29563175372Enzo Doria08/2015
9482^582435-1862767175331Enzo Doria12/2015
9492^582072-1848599175222Enzo Doria08/2015
9502^581560+1874911175068Enzo Doria06/2016
951(75^93307-1)/74174955Paul Bourdelais09/2017
9522^580528-114035174757Enzo Doria11/2014
9532^580046-459161174612Enzo Doria05/2015
9542^579992-39779174595Enzo Doria09/2015
955(2^578696+1)/257174203Lelio R Paula09/2015
9562^578656-1851809174193Enzo Doria08/2015
9572^578583-113917174171Enzo Doria10/2014
9582^578434-83174126Yves Minet07/2017
95915^148048-2174118Robert Price06/2015
9602^578346+2794249174100Enzo Doria03/2016
961(L!41532)/2173772Serge Batalov07/2017
9622^577146-49877173739Enzo Doria10/2015
9632^576889+49727173661Enzo Doria09/2016
964(2^576551-1)/4612409/64758208321/242584327930759173528Dario Alpern06/2014
9652^576016-113919173399Enzo Doria11/2014
9662^575911-1849387173367Enzo Doria08/2015
9672^575196-114053173152Enzo Doria11/2014
9682^574591-115387172970Enzo Doria07/2015
9692^574328+81121172890Enzo Doria07/2016
970(115*10^172862-1)/3172864Serge Batalov12/2014
9714*5^247217-9172798Lelio R Paula10/2015
9722^573668-2782319172692Enzo Doria09/2015
9732^573444-1855109172624Enzo Doria09/2015
9743^361608+2172531Robert Price08/2014
9752^572592-114893172368Enzo Doria05/2015
9765^246497-4^246497172295Jean-Louis Charton11/2008
977(36^110503+1)/37171975Lelio R Paula04/2017
9782^570980-2782289171883Enzo Doria09/2015
979(2^(12*47563+13)-9)/7171818Kevin Acres11/2013
9802^569563-1854607171456Enzo Doria09/2015
9812^568642+1876129171179Enzo Doria07/2016
982(58*10^170842+221)/9170843Robert Price02/2017
98311^164009-270170798Enzo Doria10/2012
9843^357706-112358170670Enzo Doria07/2014
985TheodorusPrime(170657)170657Eric W. Weisstein08/2013
9862^566871+1876163170646Enzo Doria07/2016
9872^566496+7170533Donovan Johnson07/2006
988(7^201653+1)/8170416Paul Bourdelais02/2010
9892^565183-352021170138Enzo Doria07/2015
9902^565143-114457170125Enzo Doria02/2015
9912^564976-49869170075Enzo Doria10/2015
9922^564526-351401169940Enzo Doria07/2015
99321^128327-20^128327169677Jean-Louis Charton11/2014
9942^562749+2793047169405Enzo Doria02/2016
995(154*10^169337-1)/9169339Serge Batalov12/2014
9962^562369-29503169290Enzo Doria08/2015
9972^560405-39943168699Enzo Doria09/2015
9982^559686-350471168483Enzo Doria06/2015
9992^559672-1855889168479Enzo Doria09/2015
10002^559000-59939168276Enzo Doria11/2015


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: October, 17 2017 09:44 (Time in France)

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