PRP Records

Probable Primes Top 10000

(252675 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 (> 50000) Who ? When ?
225197^61575-2122336Lelio R Paula12/2014
22522^406298+2799109122308Enzo Doria04/2016
2253(27*2^406241-1)/10277122289Lelio R Paula04/2014
22542^406229-1849993122288Enzo Doria08/2015
22553*10^122274+7122275Robert Price07/2015
22562^406117+1876577122254Enzo Doria07/2016
22573^256199-2^256199122238Mike Oakes06/2005
22582^405992-78557122216Jorge Menendez03/2018
2259(8*10^122203+43)/3122204Robert Price06/2018
22602^405774+179149122151Enzo Doria06/2016
22615*10^122082+41122083Robert Price03/2019
22622^405514-3311122072Yves Minet12/2014
22632^405514-115511122072Enzo Doria07/2015
22642^405422-113261122045Enzo Doria07/2014
22652^405173+71237121970Enzo Doria04/2016
2266(2^405016+1)/257121920Lelio R Paula04/2014
22672^404858+71329121875Enzo Doria04/2016
22682^404813-114703121861Enzo Doria04/2015
22692^404764+77791121847Enzo Doria05/2016
2270317^48694+48694^317121787Norbert Schneider08/2015
22712^404536-115259121778Enzo Doria06/2015
22722^404501-631121767Yves Minet07/2012
227363^67620+2121672Lelio R Paula08/2015
2274(17*10^121621+1)/9121622Serge Batalov05/2010
2275(15*2^403912+1)/271121589Lelio R Paula05/2014
2276(10^121543-79)/3121543Robert Price01/2018
22772^403676+76831121519Enzo Doria05/2016
2278(7*10^121487+143)/3121488Robert Price03/2018
22792^403363-113635121425Enzo Doria08/2014
22802^403336-1861469121417Enzo Doria03/2016
2281p(24442)#/2-64121381Robert Price04/2017
228211^116555-720121380Enzo Doria11/2012
22832^403100-461267121346Enzo Doria07/2015
22842^403093-112213121344Enzo Doria06/2014
2285(316^48539+1)/317121330Eric Chen10/2017
22862^403004+1866361121317Enzo Doria03/2016
22872^402953+89121301Lelio R Paula10/2013
22882^402944-2788319121299Enzo Doria03/2016
2289(44*10^121297-719)/9121298Robert Price12/2018
2290(27*2^402865+1)/5121276Lelio R Paula04/2014
22912^402828-113183121264Enzo Doria07/2014
2292(17*10^121242+1)/9121243Serge Batalov05/2010
2293(15*2^402757+1)/101121242Lelio R Paula05/2014
22952^402715+1874223121230Enzo Doria06/2016
2294(35*10^121229-593)/9121230Robert Price07/2018
2296(91^61879+1)/92121222Paul Bourdelais09/2017
22977*10^121144+9121145Robert Price09/2015
22982^401725-113251120932Enzo Doria07/2014
2299(15*2^401677-1)/19120917Lelio R Paula05/2014
23002^401652+73711120910Enzo Doria04/2016
2301(2^401632+3)/79120902Lelio R Paula04/2014
23022^401406-2791331120836Enzo Doria03/2016
2303(28^83497+1)/29120832Robert Price07/2013
23042^401369+1867367120825Enzo Doria03/2016
2305(10^120782+29)/3120782Serge Batalov12/2014
23062^401215-1657120778Yves Minet07/2014
23072^401159+53120761Lelio R Paula10/2013
23082^401031-113047120723Enzo Doria07/2014
2309(29*2^400909-1)/303120685Lelio R Paula04/2014
23102^400571-15120584Lelio R Paula10/2013
2311(10^120574+359)/9120574Serge Batalov12/2014
23122^400424-216413120540Enzo Doria04/2013
2313(17*2^400200-1)/587120471Lelio R Paula05/2014
23142^400166+1874899120462Enzo Doria06/2016
2315(3*2^400045-1)/865120424Lelio R Paula04/2014
23162^399966+73759120402Enzo Doria04/2016
2317(112*10^120395-1)/3120397Serge Batalov12/2014
23182^399918-95120388Lelio R Paula04/2013
2319(49*10^120380-139)/9120381Robert Price03/2019
23202^399792-1849259120350Enzo Doria08/2015
23219*10^120342-7120343Robert Price09/2015
2322(13*10^120306-37)/3120307Robert Price01/2019
23232^399526-1861721120270Enzo Doria11/2015
2324(10^(2*60126+1)+36*10^60126-1)/9120253Robert Price10/2015
23252^399322-2798111120208Enzo Doria04/2016
232672^64693-71^64693120157Robert Price03/2014
23272^399111-28489120145Enzo Doria08/2015
23292^398877+105120074Donovan Johnson01/2006
2328(101*10^120072-87)/7120074Hans Havermann02/2015
2330(88^61751+1)/89120072Paul Bourdelais09/2017
23312^398710+57120024Lelio R Paula04/2013
23322^398691-115057120018Enzo Doria06/2015
2333L(574219)120005Renaud Lifchitz03/2004
23342^398571+60413119982Yves Minet03/2011
2335p(24179)#/2-64119949Robert Price04/2017
23362^398448+1872001119945Enzo Doria05/2016
23378*10^119930-3119931Ray Chandler04/2011
2338(10^119880+179)/9119880Serge Batalov12/2014
2339(9*2^398145+1)/73119853Lelio R Paula04/2014
2340(10^119836+77)/3119836Robert Price01/2018
23412^398029+1872527119819Enzo Doria05/2016
23422^397897-113541119779Enzo Doria08/2014
2343(21*2^397661-1)/27593119705Lelio R Paula04/2014
2344(58^67853-1)/57119653Paul Bourdelais09/2017
23452^397426+73849119638Enzo Doria04/2016
23462^396933-112723119489Enzo Doria06/2014
234711^114738-150119488Enzo Doria10/2012
2348(4*10^119474+149)/9119474Robert Price04/2018
23492^396790-21119446Lelio R Paula04/2013
2350(2^396633-7)/5119398Lelio R Paula04/2014
2351105^59050+104119352Norbert Schneider11/2016
2352126^56824-125119352Norbert Schneider12/2018
23532^396374+73729119321Enzo Doria04/2016
23542^396258-459491119286Enzo Doria05/2015
23552^396128-396128-1119247Karsten Bonath06/2018
2356(2^395986+5)/76881119199Lelio R Paula04/2014
2357(23*2^395942-1)/91119190Lelio R Paula04/2014
2358(11*2^395548+1)/3119073Lelio R Paula04/2014
2359(30^80599+1)/31119054Robert Price07/2013
2360(43*10^119024-403)/9119025Robert Price01/2019
23612^395062-109121118926Enzo Doria04/2014
2362(2^394918+78557)/3118882Lelio R Paula01/2015
2363(16*10^118852+77)/3118853Robert Price03/2019
2364(2^394739+3)/1883118826Lelio R Paula04/2014
23652^394266+71389118686Enzo Doria04/2016
23662^394215-51261118671Tony Prest / Never Odd Or Even04/2018
2367(2^394215-48793)/5/5118670Tony Prest / Never Odd Or Even04/2018
2368(2^394215-17063)/3/3/5118669Tony Prest / Never Odd Or Even04/2018
2369(2^394215-24393)/5/5/5/5/5118668Tony Prest / Never Odd Or Even04/2018
2370(2^394215-35885)/3/71/173118666Tony Prest / Never Odd Or Even04/2018
2371(2^394215-47925)/353/2269118665Tony Prest / Never Odd Or Even04/2018
2372(2^394215-62819)/3/3/3/3/3/3/3/7/21737/1082153/1953673118650Tony Prest / Never Odd Or Even04/2018
2373(17*10^118635+13)/3118636Robert Price01/2019
23745^169727+2118635Lelio R Paula08/2013
23752^394034-3118617M. Frind & P. Underwood09/2002
2376(7*10^118607+179)/3118608Robert Price09/2018
23773^248572-6242118599Enzo Doria05/2014
2378(3*2^393964-1)/181118594Lelio R Paula04/2014
23797^140303-6118570Robert Price11/2014
23802^393427+75683118434Enzo Doria04/2016
23812^393376-114749118418Enzo Doria04/2015
23822^393180+73118359Lelio R Paula04/2013
2383p(23881)#/2+256118328Robert Price05/2017
2384(10^118324+359)/9118324Serge Batalov12/2014
2385p(23879)#/2+64118317Robert Price03/2017
2386(53*10^118216+1)/9118217Serge Batalov11/2010
2387(7*2^392697+1)/15118214Renaud Lifchitz03/2011
2388(157^53819-1)/156118179Alexander Zhirkov06/2016
2389(19*2^392551+1)/3118171Lelio R Paula04/2014
23902^392516-29219118160Enzo Doria07/2015
2391Phi(177231,10)118152Maksym Voznyy09/2015
23922^392413-112123118129Enzo Doria06/2014
2393(2^392342+5)/27118106Lelio R Paula04/2014
23942^392300-1841429118095Enzo Doria06/2015
23952^392220+75241118070Enzo Doria04/2016
239610^118009+664447118010Patrick De Geest07/2018
239710^118009-20001118009Robert Price01/2018
2398(14*10^117991+61)/3117992Robert Price12/2018
23992^391933+5897117984Yves Minet02/2011
24002^391912-1849259117978Enzo Doria08/2015
2401(2^391812+5)/14181117944Lelio R Paula04/2014
2402(46*10^117902+683)/9117903Robert Price03/2019
2403(7*2^391521+1)/285117858Lelio R Paula04/2014
24042^391324+90901117801Yves Minet02/2011
24052^391301-1859923117794Enzo Doria03/2016
24062^391261-4131117782Yves Minet02/2018
2407(2^391115-7)/11791117734Lelio R Paula04/2014
24082^390960+1880881117691Enzo Doria11/2016
24092^390897-1860553117672Enzo Doria11/2015
24102^390889-115003117670Enzo Doria06/2015
24112^390779-30337117637Paul Bourdelais02/2012
241211^112916-780117590Enzo Doria12/2012
2413(16^97613-5^97613)/11117537Robert Price07/2013
2414(17*2^390272+1)/1983117482Lelio R Paula04/2014
241531^78759-30117459Theodore Burton02/2007
24162^389998+37117402Lelio R Paula03/2013
2417(13*10^117249+161)/3117250Robert Price11/2018
24182^389478+43117245Lelio R Paula03/2013
2419(29*2^389351-1)/9117207Lelio R Paula04/2014
24205*10^117205+23117206Robert Price03/2019
2421(2^389341-7)/3865117200Lelio R Paula03/2014
242210^117142+209223117143Patrick De Geest04/2018
242410^117142-1000000001117142Robert Price03/2018
242310^117142-966057117142Patrick De Geest04/2018
242510^117135+360577117136Patrick De Geest07/2018
242610^117135-401117135Robert Price01/2018
24274*10^117123+79117124Robert Price08/2018
24282^389033-12797413117111Enzo Doria04/2016
24292^388960-109505117089Enzo Doria04/2014
2430(2^388928-5)/569117077Lelio R Paula03/2014
24312^388888-1529117067Yves Minet01/2013
243210^117059+28879117060Patrick De Geest05/2016
2433(10^117059-71)/1117059Serge Batalov12/2014
2434(26*10^116999-503)/9117000Robert Price07/2018
24353^245154-6256116969Enzo Doria05/2014
24365*10^116966-43116967Robert Price01/2019
24372^388536-113495116961Enzo Doria08/2014
24382^388469-43116941Lelio R Paula03/2013
2439(7*2^388372-1)/111116911Lelio R Paula04/2014
2440(7*2^388335-1)/25116900Lelio R Paula04/2014
24412^388180+93116854Donovan Johnson07/2008
2442(2^388081+7)/1179116821Lelio R Paula03/2014
24432^387946-113261116784Enzo Doria07/2014
24442^387745+75557116723Enzo Doria04/2016
2445(7*10^116684+179)/3116685Robert Price09/2018
24462^387554+71455116666Enzo Doria04/2016
2447(2^387447+78557)/365116631Lelio R Paula12/2014
2448(145*10^116610-1)/9116612Serge Batalov12/2014
2449(25*10^116601-331)/9116602Robert Price08/2018
2450(17*2^387284-1)/59116584Lelio R Paula04/2014
2451(31*2^386968+1)/7116490Lelio R Paula03/2014
24522^386947+1869143116483Enzo Doria05/2016
2453(30^78857-1)/29116480Robert Price12/2011
2454(2^386903-3)/5116469Lelio R Paula03/2014
24552^386389-1864783116315Enzo Doria03/2016
2456(31*2^386231-1)/1711116266Lelio R Paula03/2014
2457297^47012+47012^297116250Norbert Schneider07/2018
2458(2^386087-5)/40959116220Lelio R Paula03/2014
24592^385969-823116189Yves Minet05/2012
246057^66162+2116173Lelio R Paula08/2013
24612^385854+75049116154Enzo Doria04/2016
24622^385775-109587116130Enzo Doria04/2014
2463(14*10^116112-101)/3116113Robert Price02/2019
24642^385622+71839116084Enzo Doria04/2016
24652^385564+781116067Lelio R Paula01/2012
24662^385410+71893116020Enzo Doria04/2016
2467(25*2^385091+1)/27115924Lelio R Paula04/2014
2468(11*10^115910-131)/3115911Robert Price09/2018
24692^384953-111943115883Paul Bourdelais02/2012
247043^70942-2115882Lelio R Paula04/2014
24717*10^115863+3115864Robert Price08/2015
24722^384834+93115847Donovan Johnson07/2008
24732^384809+71297115840Enzo Doria04/2016
2474(7*2^384759-1)/5115825Lelio R Paula04/2014
2475(71*10^115810-17)/9115811Ray Chandler08/2011
2476(97*10^115794-1)/3115796Serge Batalov12/2014
24772*10^115784-27115785Robert Price05/2018
247810^115773+126739115774Patrick De Geest04/2018
248010^115773-1000000001115773Robert Price03/2018
247910^115773-396221115773Patrick De Geest04/2018
24812^384530+1874305115756Enzo Doria06/2016
2482(3*2^384524-1)/7631115750Lelio R Paula03/2014
2483(44*10^115697-413)/9115698Robert Price03/2019
24842^384312+81091115690Yves Minet02/2010
2485(4*10^115668-79)/3115669Robert Price02/2018
2486(266947#+273808)/(2*109*157)115646Makoto Morimoto10/2017
24873^242337-4042115625Enzo Doria05/2014
2488(11*2^383859-13)/15115553Renaud Lifchitz03/2011
24892^383780-3149115530Yves Minet10/2014
2490(41*10^115523-383)/9115524Robert Price11/2018
24912^383560-455115464Yves Minet03/2012
2492(2^383544+5)/3115458Lelio R Paula03/2014
249389^59221-88^59221115445Robert Price06/2015
24942^383347+1869413115399Enzo Doria05/2016
2495(2^383130-7)/131793115329Lelio R Paula03/2014
2496(12^106859+1)/13115320Paul Bourdelais02/2010
24972^383039+1869509115307Enzo Doria05/2016
2498(13*2^382968+1)/7115286Lelio R Paula04/2014
24992^382633+73697115185Enzo Doria04/2016
25002^382509-113593115147Enzo Doria08/2014


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: April, 20 2019 09:21 (Time in France)

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