PRP Records

Probable Primes Top 10000

(172142 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 ?
7512^627037-2785843188757Enzo Doria10/2015
752L(901657)188436Renaud Lifchitz11/2008
7532^625651+74213188340Enzo Doria04/2016
7542^625584-460919188320Enzo Doria06/2015
755(10^188164+359)/9188164Serge Batalov12/2014
7562^624481-113611187988Enzo Doria08/2014
7572^624077-112723187866Enzo Doria07/2014
7582^624008+1874941187846Enzo Doria06/2016
7592^623870+78679187804Enzo Doria05/2016
7602^623714-114035187757Enzo Doria11/2014
7612^623651-1834251187738Enzo Doria07/2015
7622^623146+1879609187586Enzo Doria09/2016
7632^622500+81931187392Enzo Doria08/2016
7642^622300-1861739187331Enzo Doria12/2015
7652^622052+76771187257Enzo Doria05/2016
7662^622005-24091187243Enzo Doria08/2013
7672^621879-351787187205Enzo Doria07/2015
7682^621700+79411187151Enzo Doria06/2016
7692^620929-113203186919Enzo Doria07/2014
7702^620347-1777186744Lelio R Paula07/2013
77111^179143-4170186559Enzo Doria12/2012
772(5^266863+1)/6186529Paul Bourdelais07/2010
7732^619297-2792353186427Enzo Doria02/2016
7742^618940-460139186320Enzo Doria06/2015
7752^618046+74179186051Enzo Doria04/2016
7762*10^185930-3185931Robert Price07/2015
7772^617250+9385185811Lelio R Paula07/2013
77839^116749+2185756Robert Price04/2015
7792^616924-39719185713Enzo Doria09/2015
7802^616712+1867621185649Enzo Doria04/2016
781(3^388897+2^388897)/5185551Jean-Louis Charton09/2011
7824*10^185355+9185356Robert Price05/2015
7832^615622+76639185321Enzo Doria05/2016
7842^615591+1879223185312Enzo Doria08/2016
7852^615503+1876643185285Enzo Doria07/2016
7865^265007-4^265007185232Jean-Louis Charton02/2013
7872^614783-2790097185069Enzo Doria12/2015
7882^614745-29323185057Enzo Doria07/2015
789(((((((((((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
7902^614315+81353184928Enzo Doria08/2016
7912^614294-1849961184921Enzo Doria08/2015
7922^614266+1877809184913Enzo Doria08/2016
7932^613715-1860727184747Enzo Doria11/2015
7942^613487-349987184678Enzo Doria07/2015
79514^161089-161089^14184629Serge Batalov05/2016
7962^613033-114621184542Enzo Doria05/2015
797(9^193247+1)/10184404Paul Bourdelais02/2010
7982^612341-1604809184334Enzo Doria05/2015
7993*10^184124-7184125Robert Price08/2015
8002^611628-24537184119Enzo Doria08/2013
8012^611460+71881184068Enzo Doria04/2016
8022^610982-1867301183924Enzo Doria03/2016
8032^610597+1178897183809Enzo Doria05/2016
804(28*10^183760-1)/9183761Serge Batalov10/2014
8052^610401+1277183750Lelio R Paula07/2013
8062^610356-1849019183736Enzo Doria08/2015
8072^609846-1834251183582Enzo Doria07/2015
80811^176176-240183469Enzo Doria11/2012
8092^608965-113989183317Enzo Doria10/2014
8102^608814-461261183272Enzo Doria06/2015
811(163*10^183227-1)/9183229Serge Batalov12/2014
8122^608293+143807183115Enzo Doria10/2016
8132^608164-462419183076Enzo Doria08/2015
8142^607950-1862303183012Enzo Doria12/2015
8152^607101+1871987182756Enzo Doria05/2016
8162^606869-69175182686Enzo Doria11/2015
8172^606560-357182593Enzo Doria05/2014
8182^605687+1866983182330Enzo Doria03/2016
8192^605655-114445182321Enzo Doria02/2015
820(20^140053+1)/21182212Paul Bourdelais04/2010
8212^605174-112751182176Enzo Doria06/2014
8222^604761+1874507182052Enzo Doria06/2016
8232^604705+1871957182035Enzo Doria05/2016
8242^603915+75233181797Enzo Doria04/2016
82511^174145-360181354Enzo Doria10/2012
8262^602351-396765181326Enzo Doria08/2013
8272^601957-113833181208Enzo Doria09/2014
82866^99581-65^99581181193Robert Price09/2013
82910^181182+383973181183Patrick De Geest04/2016
83010^181182-21181182Serge Batalov12/2014
8312^601521-29143181076Enzo Doria07/2015
8322^601442-2797811181053Enzo Doria04/2016
8335*10^180992-9180993Robert Price05/2015
83410^180979+79477180980Patrick De Geest04/2016
83510^180979+107739180980Patrick De Geest04/2016
83610^180979-11180979Serge Batalov12/2014
8372^601023-113851180926Enzo Doria10/2014
8382^600300-1852559180709Enzo Doria08/2015
839(10^180689+71)/9180689Serge Batalov07/2015
8402^600209+76487180681Enzo Doria05/2016
8412^599702-369885180529Enzo Doria11/2013
842Tau(643^11688)180524Nik Lygeros / Olivier Rozier05/2015
843(2951*29^123418-3)/4180490Curtis Bright05/2015
8442^598942+80779180300Enzo Doria07/2016
8452^598591-1844797180194Enzo Doria06/2015
846Gamma-Prime(179849)179849Eric W. Weisstein06/2011
8472^597424-1859729179843Enzo Doria11/2015
848Phi(180683,10)179760Maksym Voznyy09/2015
849(10^180683-1)*9/(10^643-1)/(10^281-1)179760Robert Price07/2016
8502^596690-461261179622Enzo Doria07/2015
8512^596684-113939179620Enzo Doria10/2014
8523^375887-112696179344Enzo Doria07/2014
8532^595144-1850429179157Enzo Doria08/2015
8542^594531+82253178972Enzo Doria09/2016
8552^594260-2787899178891Enzo Doria11/2015
85610^178695+136719178696Patrick De Geest05/2016
85710^178695-71178695Serge Batalov12/2014
858(2^148330+1)^4-2178608Cletus Emmanuel12/2003
8592^593178+1867219178565Enzo Doria03/2016
860(18^142031-1)/17178287Paul Bourdelais03/2010
8612^591872-291929178172Enzo Doria07/2015
8622^591682-286871178115Enzo Doria07/2015
8634*10^178091+9178092Robert Price05/2015
864410747#+478483178007Makoto Morimoto02/2016
8652^590762-396765177838Enzo Doria08/2013
866(136*10^177754-1)/9177756Serge Batalov12/2014
867ReverseConsecutiveIntegerPrime(37765)177719Eric W. Weisstein04/2010
8682^589204+1881151177369Enzo Doria11/2016
8692^589132-69479177347Enzo Doria01/2016
8702^588912-113519177281Enzo Doria08/2014
87115^150706+2177245Robert Price06/2015
8722^588194-1861001177065Enzo Doria11/2015
8732^587560-113699176874Enzo Doria09/2014
8745^252763-12862176674Enzo Doria05/2014
8752^586804+81721176646Enzo Doria08/2016
8762^586570+1874419176576Enzo Doria06/2016
8772^585994-3311176402Yves Minet12/2014
8782^585832-112799176354Enzo Doria07/2014
8792^585336-461039176204Enzo Doria06/2015
8802^585095-1848127176132Enzo Doria08/2015
8812^584950-115451176088Enzo Doria07/2015
8822^584671-3697176004Yves Minet03/2017
88310^175608+2971175609Mike Oakes05/2010
88410^175608-55829175608Patrick De Geest09/2013
8852^583051+1879793175516Enzo Doria09/2016
8862^582860-23829175459Enzo Doria08/2013
8872^582670-23913175402Enzo Doria08/2013
8882^582573-29563175372Enzo Doria08/2015
8892^582435-1862767175331Enzo Doria12/2015
8902^582072-1848599175222Enzo Doria08/2015
8912^581560+1874911175068Enzo Doria06/2016
8922^580528-114035174757Enzo Doria11/2014
8932^580046-459161174612Enzo Doria05/2015
8942^579992-39779174595Enzo Doria09/2015
895(2^578696+1)/257174203Lelio R Paula09/2015
8962^578656-1851809174193Enzo Doria08/2015
8972^578583-113917174171Enzo Doria10/2014
89815^148048-2174118Robert Price06/2015
8992^578346+2794249174100Enzo Doria03/2016
9002^577146-49877173739Enzo Doria10/2015
9012^576889+49727173661Enzo Doria09/2016
902(2^576551-1)/4612409/64758208321/242584327930759173528Dario Alpern06/2014
9032^576016-113919173399Enzo Doria11/2014
9042^575911-1849387173367Enzo Doria08/2015
9052^575196-114053173152Enzo Doria11/2014
9062^574591-115387172970Enzo Doria07/2015
9072^574328+81121172890Enzo Doria07/2016
908(115*10^172862-1)/3172864Serge Batalov12/2014
9094*5^247217-9172798Lelio R Paula10/2015
9102^573668-2782319172692Enzo Doria09/2015
9112^573444-1855109172624Enzo Doria09/2015
9123^361608+2172531Robert Price08/2014
9132^572592-114893172368Enzo Doria05/2015
9145^246497-4^246497172295Jean-Louis Charton11/2008
9152^570980-2782289171883Enzo Doria09/2015
916(2^(12*47563+13)-9)/7171818Kevin Acres11/2013
9172^569563-1854607171456Enzo Doria09/2015
9182^568642+1876129171179Enzo Doria07/2016
919(58*10^170842+221)/9170843Robert Price02/2017
92011^164009-270170798Enzo Doria10/2012
9213^357706-112358170670Enzo Doria07/2014
922TheodorusPrime(170657)170657Eric W. Weisstein08/2013
9232^566871+1876163170646Enzo Doria07/2016
9242^566496+7170533Donovan Johnson07/2006
925(7^201653+1)/8170416Paul Bourdelais02/2010
9262^565183-352021170138Enzo Doria07/2015
9272^565143-114457170125Enzo Doria02/2015
9282^564976-49869170075Enzo Doria10/2015
9292^564526-351401169940Enzo Doria07/2015
93021^128327-20^128327169677Jean-Louis Charton11/2014
9312^562749+2793047169405Enzo Doria02/2016
932(154*10^169337-1)/9169339Serge Batalov12/2014
9332^562369-29503169290Enzo Doria08/2015
9342^560405-39943168699Enzo Doria09/2015
9352^559686-350471168483Enzo Doria06/2015
9362^559672-1855889168479Enzo Doria09/2015
9372^559000-59939168276Enzo Doria11/2015
9382^558640-114149168168Enzo Doria12/2014
9392^558498-1849277168125Enzo Doria08/2015
9402^558476-1850249168119Enzo Doria08/2015
9412^558150-1852211168020Enzo Doria08/2015
9422^558125-113661168013Enzo Doria09/2014
943393^64747-392^64747167980Jean-Louis Charton08/2012
94439^105456+2167788Robert Price04/2015
9452^556504-462059167525Enzo Doria07/2015
9465*10^167510+9167511Robert Price08/2015
9472^555343+1874333167175Enzo Doria06/2016
9482^555210-461261167135Enzo Doria07/2015
9492^554372+1880527166883Enzo Doria11/2016
9502^554299+72173166861Enzo Doria04/2016
9512^554037-2797063166782Enzo Doria03/2016
9522^553484-29819166616Enzo Doria08/2015
9532^553383-2784217166585Enzo Doria10/2015
9542^553069+76427166491Enzo Doria05/2016
955589^60089-588^60089166454Jean-Louis Charton09/2012
95611^159756-2424166369Mike Oakes06/2010
9572^552649-361275166364Enzo Doria05/2014
9582^552628-113669166358Enzo Doria09/2014
9592^552137+1879397166210Enzo Doria09/2016
9602^551542+19249166031Payam Samidoost08/2002
9612^551535-23821166029Enzo Doria08/2013
9622^551507-23557166021Enzo Doria08/2013
9637*10^165916-3165917Robert Price08/2015
96481^86837-80^86837165728Robert Price01/2015
9652^550270-69551165648Enzo Doria12/2015
9662^550000-23625165567Enzo Doria08/2013
9672^549675-1852057165469Enzo Doria08/2015
968-tau(103^14938)165374Nik Lygeros / Olivier Rozier10/2013
969(28*10^165358-1)/9165359Serge Batalov10/2014
9702^549278+1879669165350Enzo Doria09/2016
9712^549252-351269165342Enzo Doria06/2015
9722^549049+2797607165281Enzo Doria04/2016
9732^547178-1856501164717Enzo Doria10/2015
97411^158160-60164707Enzo Doria07/2012
9752^546398-59201164483Enzo Doria10/2015
9762^546332-114893164463Enzo Doria05/2015
9772^545958+1876189164350Enzo Doria07/2016
9782^545878-49841164326Enzo Doria10/2015
9792^545185+76757164118Enzo Doria05/2016
9802^545076-114329164085Enzo Doria01/2015
981(29^112153+1)/30164011Lelio R Paula03/2017
9822^544757+1874777163989Enzo Doria06/2016
9832^544444-457199163894Enzo Doria01/2015
9842^544264-343529163840Enzo Doria07/2015
9857*10^163780+9163781Robert Price09/2015
9862^543989+2793047163758Enzo Doria02/2016
9872^542870-69551163421Enzo Doria12/2015
9882^542395+72533163278Enzo Doria04/2016
9892^542072-3683163180Yves Minet03/2017
9902^541779-1867357163092Enzo Doria04/2016
9918*10^162924+9162925Robert Price12/2015
9922^540905+81557162829Enzo Doria08/2016
9932^540628-2939162746Yves Minet09/2014
994919^54919-918^54919162743Jean-Louis Charton01/2013
9953^340694-112960162553Enzo Doria07/2014
9962^539807-114081162499Enzo Doria12/2014
9972^539654-114893162453Enzo Doria05/2015
9982^539617-1851583162441Enzo Doria08/2015
9992^539346+81049162360Enzo Doria07/2016
10002^539220-115499162322Enzo Doria07/2015


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: March, 18 2017 12:02 (Time in France)

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