PRP Records

Probable Primes Top 10000

(259919 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 ?
2501(2^406583-1)/813167122388Jens K. Andersen02/2009
25024*10^122377+19122378Robert Price10/2018
2503Phi(246362,10)122365Makoto Kamada09/2019
25043*10^122345-97122346Robert Price07/2018
250597^61575-2122336Lelio R Paula12/2014
25062^406298+2799109122308Enzo Doria04/2016
25077*10^122294+57122295Robert Price06/2019
2508(27*2^406241-1)/10277122289Lelio R Paula04/2014
25092^406229-1849993122288Enzo Doria08/2015
25103*10^122274+7122275Robert Price07/2015
25112^406117+1876577122254Enzo Doria07/2016
25123^256199-2^256199122238Mike Oakes06/2005
25132^405992-78557122216Jorge Menendez03/2018
2514(8*10^122203+43)/3122204Robert Price06/2018
2515(58*10^122170+329)/9122171Robert Price05/2019
25162^405774+179149122151Enzo Doria06/2016
25175*10^122082+41122083Robert Price03/2019
25182^405514-3311122072Yves Minet12/2014
25192^405514-115511122072Enzo Doria07/2015
252023*10^122070-7122072Robert Price02/2020
25212^405422-113261122045Enzo Doria07/2014
25222^405173+71237121970Enzo Doria04/2016
2523(2^405016+1)/257121920Lelio R Paula04/2014
25242^404858+71329121875Enzo Doria04/2016
25252^404813-114703121861Enzo Doria04/2015
25262^404764+77791121847Enzo Doria05/2016
2527317^48694+48694^317121787Norbert Schneider08/2015
25282^404536-115259121778Enzo Doria06/2015
25292^404501-631121767Yves Minet07/2012
253063^67620+2121672Lelio R Paula08/2015
2531(16*10^121633+167)/3121634Robert Price06/2019
2532(17*10^121621+1)/9121622Serge Batalov05/2010
2533(15*2^403912+1)/271121589Lelio R Paula05/2014
2534(10^121543-79)/3121543Robert Price01/2018
25352^403676+76831121519Enzo Doria05/2016
2536(7*10^121487+143)/3121488Robert Price03/2018
25372^403363-113635121425Enzo Doria08/2014
25382^403336-1861469121417Enzo Doria03/2016
2539p(24442)#/2-64121381Robert Price04/2017
254011^116555-720121380Enzo Doria11/2012
25412^403100-461267121346Enzo Doria07/2015
25422^403093-112213121344Enzo Doria06/2014
2543(316^48539+1)/317121330Eric Chen10/2017
25442^403004+1866361121317Enzo Doria03/2016
25452^402953+89121301Lelio R Paula10/2013
25462^402944-2788319121299Enzo Doria03/2016
2547(44*10^121297-719)/9121298Robert Price12/2018
2548(27*2^402865+1)/5121276Lelio R Paula04/2014
25492^402828-113183121264Enzo Doria07/2014
2550(17*10^121242+1)/9121243Serge Batalov05/2010
2551(15*2^402757+1)/101121242Lelio R Paula05/2014
25522^402715+1874223121230Enzo Doria06/2016
2553(35*10^121229-593)/9121230Robert Price07/2018
2554(91^61879+1)/92121222Paul Bourdelais09/2017
25557*10^121144+9121145Robert Price09/2015
25562^401725-113251120932Enzo Doria07/2014
2557(15*2^401677-1)/19120917Lelio R Paula05/2014
25582^401652+73711120910Enzo Doria04/2016
2559(2^401632+3)/79120902Lelio R Paula04/2014
256010^120841-123456789120841Robert Price02/2020
25612^401406-2791331120836Enzo Doria03/2016
2562(28^83497+1)/29120832Robert Price07/2013
2563(22*10^120828+161)/3120829Robert Price05/2019
25642^401369+1867367120825Enzo Doria03/2016
2565(10^120782+29)/3120782Serge Batalov12/2014
25662^401215-1657120778Yves Minet07/2014
25672^401159+53120761Lelio R Paula10/2013
25682^401031-113047120723Enzo Doria07/2014
2569(71*10^120703-287)/9120704Robert Price09/2019
2570(29*2^400909-1)/303120685Lelio R Paula04/2014
25712^400571-15120584Lelio R Paula10/2013
2572(10^120574+359)/9120574Serge Batalov12/2014
25732^400424-216413120540Enzo Doria04/2013
2574(17*2^400200-1)/587120471Lelio R Paula05/2014
25752^400166+1874899120462Enzo Doria06/2016
2576(3*2^400045-1)/865120424Lelio R Paula04/2014
25772^399966+73759120402Enzo Doria04/2016
2578(112*10^120395-1)/3120397Serge Batalov12/2014
25792^399918-95120388Lelio R Paula04/2013
2580(49*10^120380-139)/9120381Robert Price03/2019
25812^399792-1849259120350Enzo Doria08/2015
25829*10^120342-7120343Robert Price09/2015
2583(13*10^120306-37)/3120307Robert Price01/2019
25842^399526-1861721120270Enzo Doria11/2015
2585(10^(2*60126+1)+36*10^60126-1)/9120253Robert Price10/2015
25862^399322-2798111120208Enzo Doria04/2016
258772^64693-71^64693120157Robert Price03/2014
25882^399111-28489120145Enzo Doria08/2015
25902^398877+105120074Donovan Johnson01/2006
2589(101*10^120072-87)/7120074Hans Havermann02/2015
2591(88^61751+1)/89120072Paul Bourdelais09/2017
25922^398710+57120024Lelio R Paula04/2013
25932^398691-115057120018Enzo Doria06/2015
2594L(574219)120005Renaud Lifchitz03/2004
25952^398571+60413119982Yves Minet03/2011
2596p(24179)#/2-64119949Robert Price04/2017
25972^398448+1872001119945Enzo Doria05/2016
2598634^42803+42803^634119938Norbert Schneider07/2019
2599(68*10^119931-11)/3119933Robert Price01/2020
26008*10^119930-3119931Ray Chandler04/2011
2601(10^119880+179)/9119880Serge Batalov12/2014
2602(9*2^398145+1)/73119853Lelio R Paula04/2014
2603(10^119836+77)/3119836Robert Price01/2018
26042^398029+1872527119819Enzo Doria05/2016
26052^397897-113541119779Enzo Doria08/2014
2606(19*10^119716+101)/3119717Robert Price09/2019
2607(21*2^397661-1)/27593119705Lelio R Paula04/2014
2608(58^67853-1)/57119653Paul Bourdelais09/2017
26092^397426+73849119638Enzo Doria04/2016
26102^396933-112723119489Enzo Doria06/2014
261111^114738-150119488Enzo Doria10/2012
2612(4*10^119474+149)/9119474Robert Price04/2018
26132^396790-21119446Lelio R Paula04/2013
2614(2^396633-7)/5119398Lelio R Paula04/2014
2615105^59050+104119352Norbert Schneider11/2016
2616126^56824-125119352Norbert Schneider12/2018
2617139^55690-138119345Norbert Schneider04/2019
2618790^41179+41179^790119322Norbert Schneider04/2019
26192^396374+73729119321Enzo Doria04/2016
26202^396258-459491119286Enzo Doria05/2015
26212^396128-396128-1119247Karsten Bonath06/2018
2622(2^395986+5)/76881119199Lelio R Paula04/2014
2623(23*2^395942-1)/91119190Lelio R Paula04/2014
2624(11*2^395548+1)/3119073Lelio R Paula04/2014
2625(30^80599+1)/31119054Robert Price07/2013
2626(43*10^119024-403)/9119025Robert Price01/2019
26272^395062-109121118926Enzo Doria04/2014
26282^395055-4627118924Yves Minet05/2019
2629(2^394918+78557)/3118882Lelio R Paula01/2015
2630(16*10^118852+77)/3118853Robert Price03/2019
2631(2^394739+3)/1883118826Lelio R Paula04/2014
26322^394266+71389118686Enzo Doria04/2016
26332^394215-51261118671Tony Prest / Never Odd Or Even04/2018
2634(2^394215-48793)/5/5118670Tony Prest / Never Odd Or Even04/2018
2635(2^394215-17063)/3/3/5118669Tony Prest / Never Odd Or Even04/2018
2636(2^394215-24393)/5/5/5/5/5118668Tony Prest / Never Odd Or Even04/2018
2637(2^394215-35885)/3/71/173118666Tony Prest / Never Odd Or Even04/2018
2638(2^394215-47925)/353/2269118665Tony Prest / Never Odd Or Even04/2018
2639(2^394215-62819)/3/3/3/3/3/3/3/7/21737/1082153/1953673118650Tony Prest / Never Odd Or Even04/2018
2640(17*10^118635+13)/3118636Robert Price01/2019
26415^169727+2118635Lelio R Paula08/2013
26422^394034-3118617M. Frind & P. Underwood09/2002
2643(7*10^118607+179)/3118608Robert Price09/2018
26443^248572-6242118599Enzo Doria05/2014
2645(3*2^393964-1)/181118594Lelio R Paula04/2014
26467^140303-6118570Robert Price11/2014
26472^393427+75683118434Enzo Doria04/2016
26482^393376-114749118418Enzo Doria04/2015
26492^393180+73118359Lelio R Paula04/2013
2650p(23881)#/2+256118328Robert Price05/2017
2651(10^118324+359)/9118324Serge Batalov12/2014
2652p(23879)#/2+64118317Robert Price03/2017
2653(53*10^118216+1)/9118217Serge Batalov11/2010
2654(7*2^392697+1)/15118214Renaud Lifchitz03/2011
2655(157^53819-1)/156118179Alexander Zhirkov06/2016
2656(19*2^392551+1)/3118171Lelio R Paula04/2014
26572^392516-29219118160Enzo Doria07/2015
2658Phi(177231,10)118152Maksym Voznyy09/2015
26592^392413-112123118129Enzo Doria06/2014
2660(2^392342+5)/27118106Lelio R Paula04/2014
26612^392300-1841429118095Enzo Doria06/2015
26622^392220+75241118070Enzo Doria04/2016
266310^118009+664447118010Patrick De Geest07/2018
266410^118009-20001118009Robert Price01/2018
2665(14*10^117991+61)/3117992Robert Price12/2018
26662^391933+5897117984Yves Minet02/2011
26672^391912-1849259117978Enzo Doria08/2015
2668(2^391812+5)/14181117944Lelio R Paula04/2014
2669(46*10^117902+683)/9117903Robert Price03/2019
2670(7*2^391521+1)/285117858Lelio R Paula04/2014
26712^391324+90901117801Yves Minet02/2011
26722^391301-1859923117794Enzo Doria03/2016
26732^391261-4131117782Yves Minet02/2018
2674(2^391115-7)/11791117734Lelio R Paula04/2014
2675(85*10^117719+473)/9117720Robert Price01/2020
26762^390960+1880881117691Enzo Doria11/2016
26772^390897-1860553117672Enzo Doria11/2015
26782^390889-115003117670Enzo Doria06/2015
26792^390779-30337117637Paul Bourdelais02/2012
268011^112916-780117590Enzo Doria12/2012
2681(16^97613-5^97613)/11117537Robert Price07/2013
2682(17*2^390272+1)/1983117482Lelio R Paula04/2014
268331^78759-30117459Theodore Burton02/2007
26842^389998+37117402Lelio R Paula03/2013
268529^80192-1*80192^29117273Dylan Delgado12/2019
2686(13*10^117249+161)/3117250Robert Price11/2018
26872^389478+43117245Lelio R Paula03/2013
2688(29*2^389351-1)/9117207Lelio R Paula04/2014
26895*10^117205+23117206Robert Price03/2019
2690(2^389341-7)/3865117200Lelio R Paula03/2014
269110^117142+209223117143Patrick De Geest04/2018
269310^117142-1000000001117142Robert Price03/2018
269210^117142-966057117142Patrick De Geest04/2018
269410^117135+360577117136Patrick De Geest07/2018
269510^117135-401117135Robert Price01/2018
26964*10^117123+79117124Robert Price08/2018
26972^389033-12797413117111Enzo Doria04/2016
26982^388960-109505117089Enzo Doria04/2014
2699(2^388928-5)/569117077Lelio R Paula03/2014
27002^388888-1529117067Yves Minet01/2013
270110^117059+28879117060Patrick De Geest05/2016
2702(10^117059-71)/1117059Serge Batalov12/2014
2703(26*10^116999-503)/9117000Robert Price07/2018
27043^245154-6256116969Enzo Doria05/2014
27055*10^116966-43116967Robert Price01/2019
27062^388536-113495116961Enzo Doria08/2014
27072^388469-43116941Lelio R Paula03/2013
2708(7*2^388372-1)/111116911Lelio R Paula04/2014
2709(7*2^388335-1)/25116900Lelio R Paula04/2014
27102^388180+93116854Donovan Johnson07/2008
2711(85*10^116842+293)/9116843Robert Price12/2019
2712(2^388081+7)/1179116821Lelio R Paula03/2014
27132^387946-113261116784Enzo Doria07/2014
27142^387745+75557116723Enzo Doria04/2016
2715(206*10^116687-17)/9116689Robert Price01/2020
2716(7*10^116684+179)/3116685Robert Price09/2018
27172^387554+71455116666Enzo Doria04/2016
2718(2^387447+78557)/365116631Lelio R Paula12/2014
2719(145*10^116610-1)/9116612Serge Batalov12/2014
2720(25*10^116601-331)/9116602Robert Price08/2018
2721(17*2^387284-1)/59116584Lelio R Paula04/2014
272210^116557+987654321116558Robert Price12/2019
272310^116557+9141116558Patrick De Geest02/2020
272410^116557-609431116557Patrick De Geest02/2020
2725(31*2^386968+1)/7116490Lelio R Paula03/2014
27262^386947+1869143116483Enzo Doria05/2016
2727(30^78857-1)/29116480Robert Price12/2011
2728(2^386903-3)/5116469Lelio R Paula03/2014
27292^386389-1864783116315Enzo Doria03/2016
2730(31*2^386231-1)/1711116266Lelio R Paula03/2014
2731297^47012+47012^297116250Norbert Schneider07/2018
2732(2^386087-5)/40959116220Lelio R Paula03/2014
27332^385969-823116189Yves Minet05/2012
273457^66162+2116173Lelio R Paula08/2013
27352^385854+75049116154Enzo Doria04/2016
27362^385775-109587116130Enzo Doria04/2014
2737(14*10^116112-101)/3116113Robert Price02/2019
2738Phi(236354,10)/24817171116109Makoto Kamada08/2019
27392^385622+71839116084Enzo Doria04/2016
27402^385564+781116067Lelio R Paula01/2012
27412^385410+71893116020Enzo Doria04/2016
2742(25*2^385091+1)/27115924Lelio R Paula04/2014
2743(11*10^115910-131)/3115911Robert Price09/2018
27442^384953-111943115883Paul Bourdelais02/2012
274543^70942-2115882Lelio R Paula04/2014
2746(94*10^115879-7)/3115881Robert Price03/2020
27477*10^115863+3115864Robert Price08/2015
27482^384834+93115847Donovan Johnson07/2008
27492^384809+71297115840Enzo Doria04/2016
2750(7*2^384759-1)/5115825Lelio R Paula04/2014


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: March, 29 2020 17:41 (Time in France)

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