PRP Records

Probable Primes Top 10000

(255312 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(13*10^120306-37)/3120307Robert Price01/2019
25022^399526-1861721120270Enzo Doria11/2015
2503(10^(2*60126+1)+36*10^60126-1)/9120253Robert Price10/2015
25042^399322-2798111120208Enzo Doria04/2016
250572^64693-71^64693120157Robert Price03/2014
25062^399111-28489120145Enzo Doria08/2015
25082^398877+105120074Donovan Johnson01/2006
2507(101*10^120072-87)/7120074Hans Havermann02/2015
2509(88^61751+1)/89120072Paul Bourdelais09/2017
25102^398710+57120024Lelio R Paula04/2013
25112^398691-115057120018Enzo Doria06/2015
2512L(574219)120005Renaud Lifchitz03/2004
25132^398571+60413119982Yves Minet03/2011
2514p(24179)#/2-64119949Robert Price04/2017
25152^398448+1872001119945Enzo Doria05/2016
2516634^42803+42803^634119938Norbert Schneider07/2019
25178*10^119930-3119931Ray Chandler04/2011
2518(10^119880+179)/9119880Serge Batalov12/2014
2519(9*2^398145+1)/73119853Lelio R Paula04/2014
2520(10^119836+77)/3119836Robert Price01/2018
25212^398029+1872527119819Enzo Doria05/2016
25222^397897-113541119779Enzo Doria08/2014
2523(19*10^119716+101)/3119717Robert Price09/2019
2524(21*2^397661-1)/27593119705Lelio R Paula04/2014
2525(58^67853-1)/57119653Paul Bourdelais09/2017
25262^397426+73849119638Enzo Doria04/2016
25272^396933-112723119489Enzo Doria06/2014
252811^114738-150119488Enzo Doria10/2012
2529(4*10^119474+149)/9119474Robert Price04/2018
25302^396790-21119446Lelio R Paula04/2013
2531(2^396633-7)/5119398Lelio R Paula04/2014
2533105^59050+104119352Norbert Schneider11/2016
2532126^56824-125119352Norbert Schneider12/2018
2534139^55690-138119345Norbert Schneider04/2019
2535790^41179+41179^790119322Norbert Schneider04/2019
25362^396374+73729119321Enzo Doria04/2016
25372^396258-459491119286Enzo Doria05/2015
25382^396128-396128-1119247Karsten Bonath06/2018
2539(2^395986+5)/76881119199Lelio R Paula04/2014
2540(23*2^395942-1)/91119190Lelio R Paula04/2014
2541(11*2^395548+1)/3119073Lelio R Paula04/2014
2542(30^80599+1)/31119054Robert Price07/2013
2543(43*10^119024-403)/9119025Robert Price01/2019
25442^395062-109121118926Enzo Doria04/2014
25452^395055-4627118924Yves Minet05/2019
2546(2^394918+78557)/3118882Lelio R Paula01/2015
2547(16*10^118852+77)/3118853Robert Price03/2019
2548(2^394739+3)/1883118826Lelio R Paula04/2014
25492^394266+71389118686Enzo Doria04/2016
25502^394215-51261118671Tony Prest / Never Odd Or Even04/2018
2551(2^394215-48793)/5/5118670Tony Prest / Never Odd Or Even04/2018
2552(2^394215-17063)/3/3/5118669Tony Prest / Never Odd Or Even04/2018
2553(2^394215-24393)/5/5/5/5/5118668Tony Prest / Never Odd Or Even04/2018
2554(2^394215-35885)/3/71/173118666Tony Prest / Never Odd Or Even04/2018
2555(2^394215-47925)/353/2269118665Tony Prest / Never Odd Or Even04/2018
2556(2^394215-62819)/3/3/3/3/3/3/3/7/21737/1082153/1953673118650Tony Prest / Never Odd Or Even04/2018
2557(17*10^118635+13)/3118636Robert Price01/2019
25585^169727+2118635Lelio R Paula08/2013
25592^394034-3118617M. Frind & P. Underwood09/2002
2560(7*10^118607+179)/3118608Robert Price09/2018
25613^248572-6242118599Enzo Doria05/2014
2562(3*2^393964-1)/181118594Lelio R Paula04/2014
25637^140303-6118570Robert Price11/2014
25642^393427+75683118434Enzo Doria04/2016
25652^393376-114749118418Enzo Doria04/2015
25662^393180+73118359Lelio R Paula04/2013
2567p(23881)#/2+256118328Robert Price05/2017
2568(10^118324+359)/9118324Serge Batalov12/2014
2569p(23879)#/2+64118317Robert Price03/2017
2570(53*10^118216+1)/9118217Serge Batalov11/2010
2571(7*2^392697+1)/15118214Renaud Lifchitz03/2011
2572(157^53819-1)/156118179Alexander Zhirkov06/2016
2573(19*2^392551+1)/3118171Lelio R Paula04/2014
25742^392516-29219118160Enzo Doria07/2015
2575Phi(177231,10)118152Maksym Voznyy09/2015
25762^392413-112123118129Enzo Doria06/2014
2577(2^392342+5)/27118106Lelio R Paula04/2014
25782^392300-1841429118095Enzo Doria06/2015
25792^392220+75241118070Enzo Doria04/2016
258010^118009+664447118010Patrick De Geest07/2018
258110^118009-20001118009Robert Price01/2018
2582(14*10^117991+61)/3117992Robert Price12/2018
25832^391933+5897117984Yves Minet02/2011
25842^391912-1849259117978Enzo Doria08/2015
2585(2^391812+5)/14181117944Lelio R Paula04/2014
2586(46*10^117902+683)/9117903Robert Price03/2019
2587(7*2^391521+1)/285117858Lelio R Paula04/2014
25882^391324+90901117801Yves Minet02/2011
25892^391301-1859923117794Enzo Doria03/2016
25902^391261-4131117782Yves Minet02/2018
2591(2^391115-7)/11791117734Lelio R Paula04/2014
25922^390960+1880881117691Enzo Doria11/2016
25932^390897-1860553117672Enzo Doria11/2015
25942^390889-115003117670Enzo Doria06/2015
25952^390779-30337117637Paul Bourdelais02/2012
259611^112916-780117590Enzo Doria12/2012
2597(16^97613-5^97613)/11117537Robert Price07/2013
2598(17*2^390272+1)/1983117482Lelio R Paula04/2014
259931^78759-30117459Theodore Burton02/2007
26002^389998+37117402Lelio R Paula03/2013
260129^80192-1*80192^29117273Dylan Delgado12/2019
2602(13*10^117249+161)/3117250Robert Price11/2018
26032^389478+43117245Lelio R Paula03/2013
2604(29*2^389351-1)/9117207Lelio R Paula04/2014
26055*10^117205+23117206Robert Price03/2019
2606(2^389341-7)/3865117200Lelio R Paula03/2014
260710^117142+209223117143Patrick De Geest04/2018
260910^117142-1000000001117142Robert Price03/2018
260810^117142-966057117142Patrick De Geest04/2018
261010^117135+360577117136Patrick De Geest07/2018
261110^117135-401117135Robert Price01/2018
26124*10^117123+79117124Robert Price08/2018
26132^389033-12797413117111Enzo Doria04/2016
26142^388960-109505117089Enzo Doria04/2014
2615(2^388928-5)/569117077Lelio R Paula03/2014
26162^388888-1529117067Yves Minet01/2013
261710^117059+28879117060Patrick De Geest05/2016
2618(10^117059-71)/1117059Serge Batalov12/2014
2619(26*10^116999-503)/9117000Robert Price07/2018
26203^245154-6256116969Enzo Doria05/2014
26215*10^116966-43116967Robert Price01/2019
26222^388536-113495116961Enzo Doria08/2014
26232^388469-43116941Lelio R Paula03/2013
2624(7*2^388372-1)/111116911Lelio R Paula04/2014
2625(7*2^388335-1)/25116900Lelio R Paula04/2014
26262^388180+93116854Donovan Johnson07/2008
2627(85*10^116842+293)/9116843Robert Price12/2019
2628(2^388081+7)/1179116821Lelio R Paula03/2014
26292^387946-113261116784Enzo Doria07/2014
26302^387745+75557116723Enzo Doria04/2016
2631(7*10^116684+179)/3116685Robert Price09/2018
26322^387554+71455116666Enzo Doria04/2016
2633(2^387447+78557)/365116631Lelio R Paula12/2014
2634(145*10^116610-1)/9116612Serge Batalov12/2014
2635(25*10^116601-331)/9116602Robert Price08/2018
2636(17*2^387284-1)/59116584Lelio R Paula04/2014
263710^116557+987654321116558Robert Price12/2019
2638(31*2^386968+1)/7116490Lelio R Paula03/2014
26392^386947+1869143116483Enzo Doria05/2016
2640(30^78857-1)/29116480Robert Price12/2011
2641(2^386903-3)/5116469Lelio R Paula03/2014
26422^386389-1864783116315Enzo Doria03/2016
2643(31*2^386231-1)/1711116266Lelio R Paula03/2014
2644297^47012+47012^297116250Norbert Schneider07/2018
2645(2^386087-5)/40959116220Lelio R Paula03/2014
26462^385969-823116189Yves Minet05/2012
264757^66162+2116173Lelio R Paula08/2013
26482^385854+75049116154Enzo Doria04/2016
26492^385775-109587116130Enzo Doria04/2014
2650(14*10^116112-101)/3116113Robert Price02/2019
2651Phi(236354,10)/24817171116109Makoto Kamada08/2019
26522^385622+71839116084Enzo Doria04/2016
26532^385564+781116067Lelio R Paula01/2012
26542^385410+71893116020Enzo Doria04/2016
2655(25*2^385091+1)/27115924Lelio R Paula04/2014
2656(11*10^115910-131)/3115911Robert Price09/2018
26572^384953-111943115883Paul Bourdelais02/2012
265843^70942-2115882Lelio R Paula04/2014
26597*10^115863+3115864Robert Price08/2015
26602^384834+93115847Donovan Johnson07/2008
26612^384809+71297115840Enzo Doria04/2016
2662(7*2^384759-1)/5115825Lelio R Paula04/2014
2663(71*10^115810-17)/9115811Ray Chandler08/2011
2664(97*10^115794-1)/3115796Serge Batalov12/2014
26652*10^115784-27115785Robert Price05/2018
266610^115773+126739115774Patrick De Geest04/2018
266810^115773-1000000001115773Robert Price03/2018
266710^115773-396221115773Patrick De Geest04/2018
26692^384530+1874305115756Enzo Doria06/2016
2670(3*2^384524-1)/7631115750Lelio R Paula03/2014
2671(44*10^115697-413)/9115698Robert Price03/2019
26722^384312+81091115690Yves Minet02/2010
2673(4*10^115668-79)/3115669Robert Price02/2018
2674(266947#+1267)/(7^2*181)115647Makoto Morimoto06/2019
2675(266947#+273808)/(2*109*157)115646Makoto Morimoto10/2017
267618^92125-92125^18115642Dylan Delgado08/2019
26773^242337-4042115625Enzo Doria05/2014
26787*10^115561+79115562Robert Price07/2019
2679(11*2^383859-13)/15115553Renaud Lifchitz03/2011
26802^383780-3149115530Yves Minet10/2014
2681(41*10^115523-383)/9115524Robert Price11/2018
26822^383560-455115464Yves Minet03/2012
2683(2^383544+5)/3115458Lelio R Paula03/2014
268489^59221-88^59221115445Robert Price06/2015
26852^383347+1869413115399Enzo Doria05/2016
2686(2^383130-7)/131793115329Lelio R Paula03/2014
2687(12^106859+1)/13115320Paul Bourdelais02/2010
26882^383039+1869509115307Enzo Doria05/2016
2689(13*2^382968+1)/7115286Lelio R Paula04/2014
26902^382633+73697115185Enzo Doria04/2016
26912^382509-113593115147Enzo Doria08/2014
26922^382502-2791721115145Enzo Doria03/2016
26939^120590-120590115073Robert Price03/2014
26942^382198+9115054Lelio R Paula03/2013
26952^381883-59197114959Enzo Doria10/2015
26972^381806-4481114936Yves Minet07/2011
26962^381808-1851507114936Enzo Doria08/2015
26982^381774-112373114926Enzo Doria06/2014
26992^381555-109051114860Enzo Doria04/2014
27002^381546-113501114857Enzo Doria08/2014
27012^381360-110429114801Enzo Doria05/2014
2702(17*10^114795+79)/3114796Robert Price04/2019
2703(66^63079+1)/67114774Paul Bourdelais09/2017
27042^381252-115079114769Enzo Doria06/2015
27052^381209-29323114756Enzo Doria07/2015
2706569^41651-568^41651114754Jean-Louis Charton11/2009
27072^381201+1873205114753Enzo Doria06/2016
2708(85*10^114737+293)/9114738Robert Price12/2019
27092^380974-112991114685Enzo Doria07/2014
271088^58949-87114626Norbert Schneider11/2015
27112^380700+91114603Lelio R Paula03/2013
271210^114575+3^114576114576Mike Oakes09/2010
271310^114575+66561114576Patrick De Geest02/2017
271410^114575-581081114575Patrick De Geest02/2017
27152^380587-115315114569Enzo Doria06/2015
27162^380513-216925114546Enzo Doria05/2014
27172^380451-1840087114528Enzo Doria06/2015
2718(15*2^380388-1)/539114507Lelio R Paula04/2014
27192^380279-461347114476Enzo Doria07/2015
27202^380021+1871147114398Enzo Doria05/2016
27212^380005+1869707114393Enzo Doria05/2016
27222^379958-113297114379Enzo Doria07/2014
27232^379881-109105114356Enzo Doria04/2014
2724(21*2^379857-1)/13114349Lelio R Paula03/2014
2725(4*10^114340+83)/3114341Robert Price02/2018
2726(26*10^114317-77)/3114318Robert Price11/2019
2727(4*10^114296+149)/9114296Robert Price04/2018
272888^58773-87114284Norbert Schneider11/2015
27292^379529-2790283114250Enzo Doria03/2016
27302^379522+1869115114248Enzo Doria05/2016
2731(145*10^114226-1)/9114228Serge Batalov12/2014
27322^379317-115033114186Enzo Doria06/2015
2733(17*2^379246-1)/17407114162Lelio R Paula03/2014
2734(4*10^114076+143)/3114077Robert Price03/2018
2735(46*10^113969+683)/9113970Robert Price03/2019
27362*10^113941+9113942Dmitry Domanov11/2010
27374*10^113905+91113906Robert Price08/2018
27384*10^113874-21113875Robert Price09/2018
27392^378272-16565113872Enzo Doria04/2013
27402^378217-109075113855Enzo Doria04/2014
27412^378198+67113849Lelio R Paula03/2013
27422^378173-3249113842Yves Minet12/2014
2743(2^378155-5)/6597113833Lelio R Paula03/2014
274492941#+(355049#)/(92941#)113830Makoto Morimoto10/2017
27452^378128-262977113828Enzo Doria05/2014
27462^378123-113215113827Enzo Doria07/2014
27476^146274-18893113824Enzo Doria03/2013
27482^378078+75113813Lelio R Paula03/2013
27492^377940+63113772Lelio R Paula03/2013
27502^377941-2785843113772Enzo Doria04/2016


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: December, 14 2019 11:13 (Time in France)

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