PRP Records

Probable Primes Top 10000

(177649 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 ?
1751(3*2^410392-1)/9229123537Lelio R Paula05/2014
17522^410206-113081123485Enzo Doria07/2014
1753(25*2^410192+1)/10397123478Lelio R Paula04/2014
17542^409909-189123395Enzo Doria05/2014
17552^409896-109043123391Enzo Doria04/2014
17562^409890+75409123390Enzo Doria04/2016
1757F(590041)123311Henri Lifchitz01/2005
17582^409566-113501123292Enzo Doria08/2014
17592^409533+77747123282Enzo Doria05/2016
17602^409436-112799123253Enzo Doria06/2014
17612^409225+1873787123189Enzo Doria06/2016
17622^409174+73009123174Enzo Doria04/2016
17632^409058-112685123139Enzo Doria06/2014
17642^408778+77689123055Enzo Doria05/2016
17652^408690-75123028Lelio R Paula11/2013
17662^408574-2787341122994Enzo Doria03/2016
1767Phi(157825,10)122961Maksym Voznyy06/2015
1768(13*2^408283+1)/1665122904Lelio R Paula05/2014
1769(11*2^408100-1)/35122850Lelio R Paula04/2014
1770(2^407821-lucasV(1,2,407821)+1)/2122767Mike Oakes11/2016
1771(21*2^407604-1)/215122701Lelio R Paula04/2014
1772(21*2^407433-1)/13122650Lelio R Paula04/2014
1773(73*10^122592-1)/9122593Robert Price01/2015
17742^407179-112075122574Enzo Doria06/2014
1775(21*2^407131+1)/207517523122552Lelio R Paula04/2014
17762^407008-1867919122522Enzo Doria04/2016
177711^117642-300122512Enzo Doria10/2012
17782^406949+72197122504Enzo Doria04/2016
17792^406826-65122467Lelio R Paula11/2013
17802^406821-2797363122466Enzo Doria04/2016
17812^406758-17122447Lelio R Paula11/2013
1782(30^82883-1)/29122427Robert Price12/2011
1783(2^406583-1)/813167122388Jens K. Andersen02/2009
178497^61575-2122336Lelio R Paula12/2014
17852^406298+2799109122308Enzo Doria04/2016
1786(27*2^406241-1)/10277122289Lelio R Paula04/2014
17872^406229-1849993122288Enzo Doria08/2015
17883*10^122274+7122275Robert Price07/2015
17892^406117+1876577122254Enzo Doria07/2016
17903^256199-2^256199122238Mike Oakes06/2005
17912^405774+179149122151Enzo Doria06/2016
17922^405514-3311122072Yves Minet12/2014
17932^405514-115511122072Enzo Doria07/2015
17942^405422-113261122045Enzo Doria07/2014
17952^405173+71237121970Enzo Doria04/2016
1796(2^405016+1)/257121920Lelio R Paula04/2014
17972^404858+71329121875Enzo Doria04/2016
17982^404813-114703121861Enzo Doria04/2015
17992^404764+77791121847Enzo Doria05/2016
1800317^48694+48694^317121787Norbert Schneider08/2015
18012^404536-115259121778Enzo Doria06/2015
18022^404501-631121767Yves Minet07/2012
180363^67620+2121672Lelio R Paula08/2015
1804(17*10^121621+1)/9121622Serge Batalov05/2010
1805(15*2^403912+1)/271121589Lelio R Paula05/2014
18062^403676+76831121519Enzo Doria05/2016
18072^403363-113635121425Enzo Doria08/2014
18082^403336-1861469121417Enzo Doria03/2016
1809p(24442)#/2-64121381Robert Price04/2017
181011^116555-720121380Enzo Doria11/2012
18112^403100-461267121346Enzo Doria07/2015
18122^403093-112213121344Enzo Doria06/2014
18132^403004+1866361121317Enzo Doria03/2016
18142^402953+89121301Lelio R Paula10/2013
18152^402944-2788319121299Enzo Doria03/2016
1816(27*2^402865+1)/5121276Lelio R Paula04/2014
18172^402828-113183121264Enzo Doria07/2014
1818(17*10^121242+1)/9121243Serge Batalov05/2010
1819(15*2^402757+1)/101121242Lelio R Paula05/2014
18202^402715+1874223121230Enzo Doria06/2016
18217*10^121144+9121145Robert Price09/2015
18222^401725-113251120932Enzo Doria07/2014
1823(15*2^401677-1)/19120917Lelio R Paula05/2014
18242^401652+73711120910Enzo Doria04/2016
1825(2^401632+3)/79120902Lelio R Paula04/2014
18262^401406-2791331120836Enzo Doria03/2016
1827(28^83497+1)/29120832Robert Price07/2013
18282^401369+1867367120825Enzo Doria03/2016
1829(10^120782+29)/3120782Serge Batalov12/2014
18302^401215-1657120778Yves Minet07/2014
18312^401159+53120761Lelio R Paula10/2013
18322^401031-113047120723Enzo Doria07/2014
1833(29*2^400909-1)/303120685Lelio R Paula04/2014
18342^400571-15120584Lelio R Paula10/2013
1835(10^120574+359)/9120574Serge Batalov12/2014
18362^400424-216413120540Enzo Doria04/2013
1837(17*2^400200-1)/587120471Lelio R Paula05/2014
18382^400166+1874899120462Enzo Doria06/2016
1839(3*2^400045-1)/865120424Lelio R Paula04/2014
18402^399966+73759120402Enzo Doria04/2016
1841(112*10^120395-1)/3120397Serge Batalov12/2014
18422^399918-95120388Lelio R Paula04/2013
18432^399792-1849259120350Enzo Doria08/2015
18449*10^120342-7120343Robert Price09/2015
18452^399526-1861721120270Enzo Doria11/2015
1846(10^(2*60126+1)+36*10^60126-1)/9120253Robert Price10/2015
18472^399322-2798111120208Enzo Doria04/2016
184872^64693-71^64693120157Robert Price03/2014
18492^399111-28489120145Enzo Doria08/2015
18512^398877+105120074Donovan Johnson01/2006
1850(101*10^120072-87)/7120074Hans Havermann02/2015
18522^398710+57120024Lelio R Paula04/2013
18532^398691-115057120018Enzo Doria06/2015
1854L(574219)120005Renaud Lifchitz03/2004
18552^398571+60413119982Yves Minet03/2011
1856p(24179)#/2-64119949Robert Price04/2017
18572^398448+1872001119945Enzo Doria05/2016
18588*10^119930-3119931Ray Chandler04/2011
1859(10^119880+179)/9119880Serge Batalov12/2014
1860(9*2^398145+1)/73119853Lelio R Paula04/2014
18612^398029+1872527119819Enzo Doria05/2016
18622^397897-113541119779Enzo Doria08/2014
1863(21*2^397661-1)/27593119705Lelio R Paula04/2014
18642^397426+73849119638Enzo Doria04/2016
18652^396933-112723119489Enzo Doria06/2014
186611^114738-150119488Enzo Doria10/2012
18672^396790-21119446Lelio R Paula04/2013
1868(2^396633-7)/5119398Lelio R Paula04/2014
1869105^59050+104119352Norbert Schneider11/2016
18702^396374+73729119321Enzo Doria04/2016
18712^396258-459491119286Enzo Doria05/2015
1872(2^395986+5)/76881119199Lelio R Paula04/2014
1873(23*2^395942-1)/91119190Lelio R Paula04/2014
1874(11*2^395548+1)/3119073Lelio R Paula04/2014
1875(30^80599+1)/31119054Robert Price07/2013
18762^395062-109121118926Enzo Doria04/2014
1877(2^394918+78557)/3118882Lelio R Paula01/2015
1878(2^394739+3)/1883118826Lelio R Paula04/2014
18792^394266+71389118686Enzo Doria04/2016
18805^169727+2118635Lelio R Paula08/2013
18812^394034-3118617M. Frind & P. Underwood09/2002
18823^248572-6242118599Enzo Doria05/2014
1883(3*2^393964-1)/181118594Lelio R Paula04/2014
18847^140303-6118570Robert Price11/2014
18852^393427+75683118434Enzo Doria04/2016
18862^393376-114749118418Enzo Doria04/2015
18872^393180+73118359Lelio R Paula04/2013
1888p(23881)#/2+256118328Robert Price05/2017
1889(10^118324+359)/9118324Serge Batalov12/2014
1890p(23879)#/2+64118317Robert Price03/2017
1891(53*10^118216+1)/9118217Serge Batalov11/2010
1892(7*2^392697+1)/15118214Renaud Lifchitz03/2011
1893(157^53819-1)/156118179Alexander Zhirkov06/2016
1894(19*2^392551+1)/3118171Lelio R Paula04/2014
18952^392516-29219118160Enzo Doria07/2015
1896Phi(177231,10)118152Maksym Voznyy09/2015
18972^392413-112123118129Enzo Doria06/2014
1898(2^392342+5)/27118106Lelio R Paula04/2014
18992^392300-1841429118095Enzo Doria06/2015
19002^392220+75241118070Enzo Doria04/2016
19012^391933+5897117984Yves Minet02/2011
19022^391912-1849259117978Enzo Doria08/2015
1903(2^391812+5)/14181117944Lelio R Paula04/2014
1904(7*2^391521+1)/285117858Lelio R Paula04/2014
19052^391324+90901117801Yves Minet02/2011
19062^391301-1859923117794Enzo Doria03/2016
1907(2^391115-7)/11791117734Lelio R Paula04/2014
19082^390960+1880881117691Enzo Doria11/2016
19092^390897-1860553117672Enzo Doria11/2015
19102^390889-115003117670Enzo Doria06/2015
19112^390779-30337117637Paul Bourdelais02/2012
191211^112916-780117590Enzo Doria12/2012
1913(16^97613-5^97613)/11117537Robert Price07/2013
1914(17*2^390272+1)/1983117482Lelio R Paula04/2014
191531^78759-30117459Theodore Burton02/2007
19162^389998+37117402Lelio R Paula03/2013
19172^389478+43117245Lelio R Paula03/2013
1918(29*2^389351-1)/9117207Lelio R Paula04/2014
1919(2^389341-7)/3865117200Lelio R Paula03/2014
19202^389033-12797413117111Enzo Doria04/2016
19212^388960-109505117089Enzo Doria04/2014
1922(2^388928-5)/569117077Lelio R Paula03/2014
19232^388888-1529117067Yves Minet01/2013
192410^117059+28879117060Patrick De Geest05/2016
1925(10^117059-71)/1117059Serge Batalov12/2014
19263^245154-6256116969Enzo Doria05/2014
19272^388536-113495116961Enzo Doria08/2014
19282^388469-43116941Lelio R Paula03/2013
1929(7*2^388372-1)/111116911Lelio R Paula04/2014
1930(7*2^388335-1)/25116900Lelio R Paula04/2014
19312^388180+93116854Donovan Johnson07/2008
1932(2^388081+7)/1179116821Lelio R Paula03/2014
19332^387946-113261116784Enzo Doria07/2014
19342^387745+75557116723Enzo Doria04/2016
19352^387554+71455116666Enzo Doria04/2016
1936(2^387447+78557)/365116631Lelio R Paula12/2014
1937(145*10^116610-1)/9116612Serge Batalov12/2014
1938(17*2^387284-1)/59116584Lelio R Paula04/2014
1939(31*2^386968+1)/7116490Lelio R Paula03/2014
19402^386947+1869143116483Enzo Doria05/2016
1941(30^78857-1)/29116480Robert Price12/2011
1942(2^386903-3)/5116469Lelio R Paula03/2014
19432^386389-1864783116315Enzo Doria03/2016
1944(31*2^386231-1)/1711116266Lelio R Paula03/2014
1945(2^386087-5)/40959116220Lelio R Paula03/2014
19462^385969-823116189Yves Minet05/2012
194757^66162+2116173Lelio R Paula08/2013
19482^385854+75049116154Enzo Doria04/2016
19492^385775-109587116130Enzo Doria04/2014
19502^385622+71839116084Enzo Doria04/2016
19512^385564+781116067Lelio R Paula01/2012
19522^385410+71893116020Enzo Doria04/2016
1953(25*2^385091+1)/27115924Lelio R Paula04/2014
19542^384953-111943115883Paul Bourdelais02/2012
195543^70942-2115882Lelio R Paula04/2014
19567*10^115863+3115864Robert Price08/2015
19572^384834+93115847Donovan Johnson07/2008
19582^384809+71297115840Enzo Doria04/2016
1959(7*2^384759-1)/5115825Lelio R Paula04/2014
1960(71*10^115810-17)/9115811Ray Chandler08/2011
1961(97*10^115794-1)/3115796Serge Batalov12/2014
19622^384530+1874305115756Enzo Doria06/2016
1963(3*2^384524-1)/7631115750Lelio R Paula03/2014
19642^384312+81091115690Yves Minet02/2010
19653^242337-4042115625Enzo Doria05/2014
1966(11*2^383859-13)/15115553Renaud Lifchitz03/2011
19672^383780-3149115530Yves Minet10/2014
19682^383560-455115464Yves Minet03/2012
1969(2^383544+5)/3115458Lelio R Paula03/2014
197089^59221-88^59221115445Robert Price06/2015
19712^383347+1869413115399Enzo Doria05/2016
1972(2^383130-7)/131793115329Lelio R Paula03/2014
1973(12^106859+1)/13115320Paul Bourdelais02/2010
19742^383039+1869509115307Enzo Doria05/2016
1975(13*2^382968+1)/7115286Lelio R Paula04/2014
19762^382633+73697115185Enzo Doria04/2016
19772^382509-113593115147Enzo Doria08/2014
19782^382502-2791721115145Enzo Doria03/2016
19799^120590-120590115073Robert Price03/2014
19802^382198+9115054Lelio R Paula03/2013
19812^381883-59197114959Enzo Doria10/2015
19832^381806-4481114936Yves Minet07/2011
19822^381808-1851507114936Enzo Doria08/2015
19842^381774-112373114926Enzo Doria06/2014
19852^381555-109051114860Enzo Doria04/2014
19862^381546-113501114857Enzo Doria08/2014
19872^381360-110429114801Enzo Doria05/2014
19882^381252-115079114769Enzo Doria06/2015
19892^381209-29323114756Enzo Doria07/2015
1990569^41651-568^41651114754Jean-Louis Charton11/2009
19912^381201+1873205114753Enzo Doria06/2016
19922^380974-112991114685Enzo Doria07/2014
199388^58949-87114626Norbert Schneider11/2015
19942^380700+91114603Lelio R Paula03/2013
199610^114575+3^114576114576Mike Oakes09/2010
199510^114575+66561114576Patrick De Geest02/2017
199710^114575-581081114575Patrick De Geest02/2017
19982^380587-115315114569Enzo Doria06/2015
19992^380513-216925114546Enzo Doria05/2014
20002^380451-1840087114528Enzo Doria06/2015


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: July, 27 2017 08:43 (Time in France)

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