PRP Records

Probable Primes Top 10000

(205873 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 ?
20012^405514-115511122072Enzo Doria07/2015
20022^405422-113261122045Enzo Doria07/2014
20032^405173+71237121970Enzo Doria04/2016
2004(2^405016+1)/257121920Lelio R Paula04/2014
20052^404858+71329121875Enzo Doria04/2016
20062^404813-114703121861Enzo Doria04/2015
20072^404764+77791121847Enzo Doria05/2016
2008317^48694+48694^317121787Norbert Schneider08/2015
20092^404536-115259121778Enzo Doria06/2015
20102^404501-631121767Yves Minet07/2012
201163^67620+2121672Lelio R Paula08/2015
2012(17*10^121621+1)/9121622Serge Batalov05/2010
2013(15*2^403912+1)/271121589Lelio R Paula05/2014
2014(10^121543-79)/3121543Robert Price01/2018
20152^403676+76831121519Enzo Doria05/2016
2016(7*10^121487+143)/3121488Robert Price03/2018
20172^403363-113635121425Enzo Doria08/2014
20182^403336-1861469121417Enzo Doria03/2016
2019p(24442)#/2-64121381Robert Price04/2017
202011^116555-720121380Enzo Doria11/2012
20212^403100-461267121346Enzo Doria07/2015
20222^403093-112213121344Enzo Doria06/2014
2023(316^48539+1)/317121330Eric Chen10/2017
20242^403004+1866361121317Enzo Doria03/2016
20252^402953+89121301Lelio R Paula10/2013
20262^402944-2788319121299Enzo Doria03/2016
2027(27*2^402865+1)/5121276Lelio R Paula04/2014
20282^402828-113183121264Enzo Doria07/2014
2029(17*10^121242+1)/9121243Serge Batalov05/2010
2030(15*2^402757+1)/101121242Lelio R Paula05/2014
20312^402715+1874223121230Enzo Doria06/2016
2032(91^61879+1)/92121222Paul Bourdelais09/2017
20337*10^121144+9121145Robert Price09/2015
20342^401725-113251120932Enzo Doria07/2014
2035(15*2^401677-1)/19120917Lelio R Paula05/2014
20362^401652+73711120910Enzo Doria04/2016
2037(2^401632+3)/79120902Lelio R Paula04/2014
20382^401406-2791331120836Enzo Doria03/2016
2039(28^83497+1)/29120832Robert Price07/2013
20402^401369+1867367120825Enzo Doria03/2016
2041(10^120782+29)/3120782Serge Batalov12/2014
20422^401215-1657120778Yves Minet07/2014
20432^401159+53120761Lelio R Paula10/2013
20442^401031-113047120723Enzo Doria07/2014
2045(29*2^400909-1)/303120685Lelio R Paula04/2014
20462^400571-15120584Lelio R Paula10/2013
2047(10^120574+359)/9120574Serge Batalov12/2014
20482^400424-216413120540Enzo Doria04/2013
2049(17*2^400200-1)/587120471Lelio R Paula05/2014
20502^400166+1874899120462Enzo Doria06/2016
2051(3*2^400045-1)/865120424Lelio R Paula04/2014
20522^399966+73759120402Enzo Doria04/2016
2053(112*10^120395-1)/3120397Serge Batalov12/2014
20542^399918-95120388Lelio R Paula04/2013
20552^399792-1849259120350Enzo Doria08/2015
20569*10^120342-7120343Robert Price09/2015
20572^399526-1861721120270Enzo Doria11/2015
2058(10^(2*60126+1)+36*10^60126-1)/9120253Robert Price10/2015
20592^399322-2798111120208Enzo Doria04/2016
206072^64693-71^64693120157Robert Price03/2014
20612^399111-28489120145Enzo Doria08/2015
20632^398877+105120074Donovan Johnson01/2006
2062(101*10^120072-87)/7120074Hans Havermann02/2015
2064(88^61751+1)/89120072Paul Bourdelais09/2017
20652^398710+57120024Lelio R Paula04/2013
20662^398691-115057120018Enzo Doria06/2015
2067L(574219)120005Renaud Lifchitz03/2004
20682^398571+60413119982Yves Minet03/2011
2069p(24179)#/2-64119949Robert Price04/2017
20702^398448+1872001119945Enzo Doria05/2016
20718*10^119930-3119931Ray Chandler04/2011
2072(10^119880+179)/9119880Serge Batalov12/2014
2073(9*2^398145+1)/73119853Lelio R Paula04/2014
2074(10^119836+77)/3119836Robert Price01/2018
20752^398029+1872527119819Enzo Doria05/2016
20762^397897-113541119779Enzo Doria08/2014
2077(21*2^397661-1)/27593119705Lelio R Paula04/2014
2078(58^67853-1)/57119653Paul Bourdelais09/2017
20792^397426+73849119638Enzo Doria04/2016
20802^396933-112723119489Enzo Doria06/2014
208111^114738-150119488Enzo Doria10/2012
2082(4*10^119474+149)/9119474Robert Price04/2018
20832^396790-21119446Lelio R Paula04/2013
2084(2^396633-7)/5119398Lelio R Paula04/2014
2085105^59050+104119352Norbert Schneider11/2016
20862^396374+73729119321Enzo Doria04/2016
20872^396258-459491119286Enzo Doria05/2015
2088(2^395986+5)/76881119199Lelio R Paula04/2014
2089(23*2^395942-1)/91119190Lelio R Paula04/2014
2090(11*2^395548+1)/3119073Lelio R Paula04/2014
2091(30^80599+1)/31119054Robert Price07/2013
20922^395062-109121118926Enzo Doria04/2014
2093(2^394918+78557)/3118882Lelio R Paula01/2015
2094(2^394739+3)/1883118826Lelio R Paula04/2014
20952^394266+71389118686Enzo Doria04/2016
20965^169727+2118635Lelio R Paula08/2013
20972^394034-3118617M. Frind & P. Underwood09/2002
20983^248572-6242118599Enzo Doria05/2014
2099(3*2^393964-1)/181118594Lelio R Paula04/2014
21007^140303-6118570Robert Price11/2014
21012^393427+75683118434Enzo Doria04/2016
21022^393376-114749118418Enzo Doria04/2015
21032^393180+73118359Lelio R Paula04/2013
2104p(23881)#/2+256118328Robert Price05/2017
2105(10^118324+359)/9118324Serge Batalov12/2014
2106p(23879)#/2+64118317Robert Price03/2017
2107(53*10^118216+1)/9118217Serge Batalov11/2010
2108(7*2^392697+1)/15118214Renaud Lifchitz03/2011
2109(157^53819-1)/156118179Alexander Zhirkov06/2016
2110(19*2^392551+1)/3118171Lelio R Paula04/2014
21112^392516-29219118160Enzo Doria07/2015
2112Phi(177231,10)118152Maksym Voznyy09/2015
21132^392413-112123118129Enzo Doria06/2014
2114(2^392342+5)/27118106Lelio R Paula04/2014
21152^392300-1841429118095Enzo Doria06/2015
21162^392220+75241118070Enzo Doria04/2016
211710^118009-20001118009Robert Price01/2018
21182^391933+5897117984Yves Minet02/2011
21192^391912-1849259117978Enzo Doria08/2015
2120(2^391812+5)/14181117944Lelio R Paula04/2014
2121(7*2^391521+1)/285117858Lelio R Paula04/2014
21222^391324+90901117801Yves Minet02/2011
21232^391301-1859923117794Enzo Doria03/2016
21242^391261-4131117782Yves Minet02/2018
2125(2^391115-7)/11791117734Lelio R Paula04/2014
21262^390960+1880881117691Enzo Doria11/2016
21272^390897-1860553117672Enzo Doria11/2015
21282^390889-115003117670Enzo Doria06/2015
21292^390779-30337117637Paul Bourdelais02/2012
213011^112916-780117590Enzo Doria12/2012
2131(16^97613-5^97613)/11117537Robert Price07/2013
2132(17*2^390272+1)/1983117482Lelio R Paula04/2014
213331^78759-30117459Theodore Burton02/2007
21342^389998+37117402Lelio R Paula03/2013
21352^389478+43117245Lelio R Paula03/2013
2136(29*2^389351-1)/9117207Lelio R Paula04/2014
2137(2^389341-7)/3865117200Lelio R Paula03/2014
213810^117142+209223117143Patrick De Geest04/2018
214010^117142-1000000001117142Robert Price03/2018
213910^117142-966057117142Patrick De Geest04/2018
214110^117135-401117135Robert Price01/2018
21422^389033-12797413117111Enzo Doria04/2016
21432^388960-109505117089Enzo Doria04/2014
2144(2^388928-5)/569117077Lelio R Paula03/2014
21452^388888-1529117067Yves Minet01/2013
214610^117059+28879117060Patrick De Geest05/2016
2147(10^117059-71)/1117059Serge Batalov12/2014
21483^245154-6256116969Enzo Doria05/2014
21492^388536-113495116961Enzo Doria08/2014
21502^388469-43116941Lelio R Paula03/2013
2151(7*2^388372-1)/111116911Lelio R Paula04/2014
2152(7*2^388335-1)/25116900Lelio R Paula04/2014
21532^388180+93116854Donovan Johnson07/2008
2154(2^388081+7)/1179116821Lelio R Paula03/2014
21552^387946-113261116784Enzo Doria07/2014
21562^387745+75557116723Enzo Doria04/2016
21572^387554+71455116666Enzo Doria04/2016
2158(2^387447+78557)/365116631Lelio R Paula12/2014
2159(145*10^116610-1)/9116612Serge Batalov12/2014
2160(17*2^387284-1)/59116584Lelio R Paula04/2014
2161(31*2^386968+1)/7116490Lelio R Paula03/2014
21622^386947+1869143116483Enzo Doria05/2016
2163(30^78857-1)/29116480Robert Price12/2011
2164(2^386903-3)/5116469Lelio R Paula03/2014
21652^386389-1864783116315Enzo Doria03/2016
2166(31*2^386231-1)/1711116266Lelio R Paula03/2014
2167(2^386087-5)/40959116220Lelio R Paula03/2014
21682^385969-823116189Yves Minet05/2012
216957^66162+2116173Lelio R Paula08/2013
21702^385854+75049116154Enzo Doria04/2016
21712^385775-109587116130Enzo Doria04/2014
21722^385622+71839116084Enzo Doria04/2016
21732^385564+781116067Lelio R Paula01/2012
21742^385410+71893116020Enzo Doria04/2016
2175(25*2^385091+1)/27115924Lelio R Paula04/2014
21762^384953-111943115883Paul Bourdelais02/2012
217743^70942-2115882Lelio R Paula04/2014
21787*10^115863+3115864Robert Price08/2015
21792^384834+93115847Donovan Johnson07/2008
21802^384809+71297115840Enzo Doria04/2016
2181(7*2^384759-1)/5115825Lelio R Paula04/2014
2182(71*10^115810-17)/9115811Ray Chandler08/2011
2183(97*10^115794-1)/3115796Serge Batalov12/2014
218410^115773+126739115774Patrick De Geest04/2018
218610^115773-1000000001115773Robert Price03/2018
218510^115773-396221115773Patrick De Geest04/2018
21872^384530+1874305115756Enzo Doria06/2016
2188(3*2^384524-1)/7631115750Lelio R Paula03/2014
21892^384312+81091115690Yves Minet02/2010
2190(4*10^115668-79)/3115669Robert Price02/2018
2191(266947#+273808)/(2*109*157)115646Makoto Morimoto10/2017
21923^242337-4042115625Enzo Doria05/2014
2193(11*2^383859-13)/15115553Renaud Lifchitz03/2011
21942^383780-3149115530Yves Minet10/2014
21952^383560-455115464Yves Minet03/2012
2196(2^383544+5)/3115458Lelio R Paula03/2014
219789^59221-88^59221115445Robert Price06/2015
21982^383347+1869413115399Enzo Doria05/2016
2199(2^383130-7)/131793115329Lelio R Paula03/2014
2200(12^106859+1)/13115320Paul Bourdelais02/2010
22012^383039+1869509115307Enzo Doria05/2016
2202(13*2^382968+1)/7115286Lelio R Paula04/2014
22032^382633+73697115185Enzo Doria04/2016
22042^382509-113593115147Enzo Doria08/2014
22052^382502-2791721115145Enzo Doria03/2016
22069^120590-120590115073Robert Price03/2014
22072^382198+9115054Lelio R Paula03/2013
22082^381883-59197114959Enzo Doria10/2015
22102^381806-4481114936Yves Minet07/2011
22092^381808-1851507114936Enzo Doria08/2015
22112^381774-112373114926Enzo Doria06/2014
22122^381555-109051114860Enzo Doria04/2014
22132^381546-113501114857Enzo Doria08/2014
22142^381360-110429114801Enzo Doria05/2014
2215(66^63079+1)/67114774Paul Bourdelais09/2017
22162^381252-115079114769Enzo Doria06/2015
22172^381209-29323114756Enzo Doria07/2015
2218569^41651-568^41651114754Jean-Louis Charton11/2009
22192^381201+1873205114753Enzo Doria06/2016
22202^380974-112991114685Enzo Doria07/2014
222188^58949-87114626Norbert Schneider11/2015
22222^380700+91114603Lelio R Paula03/2013
222310^114575+3^114576114576Mike Oakes09/2010
222410^114575+66561114576Patrick De Geest02/2017
222510^114575-581081114575Patrick De Geest02/2017
22262^380587-115315114569Enzo Doria06/2015
22272^380513-216925114546Enzo Doria05/2014
22282^380451-1840087114528Enzo Doria06/2015
2229(15*2^380388-1)/539114507Lelio R Paula04/2014
22302^380279-461347114476Enzo Doria07/2015
22312^380021+1871147114398Enzo Doria05/2016
22322^380005+1869707114393Enzo Doria05/2016
22332^379958-113297114379Enzo Doria07/2014
22342^379881-109105114356Enzo Doria04/2014
2235(21*2^379857-1)/13114349Lelio R Paula03/2014
2236(4*10^114340+83)/3114341Robert Price02/2018
2237(4*10^114296+149)/9114296Robert Price04/2018
223888^58773-87114284Norbert Schneider11/2015
22392^379529-2790283114250Enzo Doria03/2016
22402^379522+1869115114248Enzo Doria05/2016
2241(145*10^114226-1)/9114228Serge Batalov12/2014
22422^379317-115033114186Enzo Doria06/2015
2243(17*2^379246-1)/17407114162Lelio R Paula03/2014
2244(4*10^114076+143)/3114077Robert Price03/2018
22452*10^113941+9113942Dmitry Domanov11/2010
22462^378272-16565113872Enzo Doria04/2013
22472^378217-109075113855Enzo Doria04/2014
22482^378198+67113849Lelio R Paula03/2013
22492^378173-3249113842Yves Minet12/2014
2250(2^378155-5)/6597113833Lelio R Paula03/2014


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: April, 24 2018 23:03 (Time in France)

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