PRP Records

Probable Primes Top 10000

(252932 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(31*2^386231-1)/1711116266Lelio R Paula03/2014
2502297^47012+47012^297116250Norbert Schneider07/2018
2503(2^386087-5)/40959116220Lelio R Paula03/2014
25042^385969-823116189Yves Minet05/2012
250557^66162+2116173Lelio R Paula08/2013
25062^385854+75049116154Enzo Doria04/2016
25072^385775-109587116130Enzo Doria04/2014
2508(14*10^116112-101)/3116113Robert Price02/2019
25092^385622+71839116084Enzo Doria04/2016
25102^385564+781116067Lelio R Paula01/2012
25112^385410+71893116020Enzo Doria04/2016
2512(25*2^385091+1)/27115924Lelio R Paula04/2014
2513(11*10^115910-131)/3115911Robert Price09/2018
25142^384953-111943115883Paul Bourdelais02/2012
251543^70942-2115882Lelio R Paula04/2014
25167*10^115863+3115864Robert Price08/2015
25172^384834+93115847Donovan Johnson07/2008
25182^384809+71297115840Enzo Doria04/2016
2519(7*2^384759-1)/5115825Lelio R Paula04/2014
2520(71*10^115810-17)/9115811Ray Chandler08/2011
2521(97*10^115794-1)/3115796Serge Batalov12/2014
25222*10^115784-27115785Robert Price05/2018
252310^115773+126739115774Patrick De Geest04/2018
252510^115773-1000000001115773Robert Price03/2018
252410^115773-396221115773Patrick De Geest04/2018
25262^384530+1874305115756Enzo Doria06/2016
2527(3*2^384524-1)/7631115750Lelio R Paula03/2014
2528(44*10^115697-413)/9115698Robert Price03/2019
25292^384312+81091115690Yves Minet02/2010
2530(4*10^115668-79)/3115669Robert Price02/2018
2531(266947#+1267)/(7^2*181)115647Makoto Morimoto06/2019
2532(266947#+273808)/(2*109*157)115646Makoto Morimoto10/2017
25333^242337-4042115625Enzo Doria05/2014
2534(11*2^383859-13)/15115553Renaud Lifchitz03/2011
25352^383780-3149115530Yves Minet10/2014
2536(41*10^115523-383)/9115524Robert Price11/2018
25372^383560-455115464Yves Minet03/2012
2538(2^383544+5)/3115458Lelio R Paula03/2014
253989^59221-88^59221115445Robert Price06/2015
25402^383347+1869413115399Enzo Doria05/2016
2541(2^383130-7)/131793115329Lelio R Paula03/2014
2542(12^106859+1)/13115320Paul Bourdelais02/2010
25432^383039+1869509115307Enzo Doria05/2016
2544(13*2^382968+1)/7115286Lelio R Paula04/2014
25452^382633+73697115185Enzo Doria04/2016
25462^382509-113593115147Enzo Doria08/2014
25472^382502-2791721115145Enzo Doria03/2016
25489^120590-120590115073Robert Price03/2014
25492^382198+9115054Lelio R Paula03/2013
25502^381883-59197114959Enzo Doria10/2015
25522^381806-4481114936Yves Minet07/2011
25512^381808-1851507114936Enzo Doria08/2015
25532^381774-112373114926Enzo Doria06/2014
25542^381555-109051114860Enzo Doria04/2014
25552^381546-113501114857Enzo Doria08/2014
25562^381360-110429114801Enzo Doria05/2014
2557(17*10^114795+79)/3114796Robert Price04/2019
2558(66^63079+1)/67114774Paul Bourdelais09/2017
25592^381252-115079114769Enzo Doria06/2015
25602^381209-29323114756Enzo Doria07/2015
2561569^41651-568^41651114754Jean-Louis Charton11/2009
25622^381201+1873205114753Enzo Doria06/2016
25632^380974-112991114685Enzo Doria07/2014
256488^58949-87114626Norbert Schneider11/2015
25652^380700+91114603Lelio R Paula03/2013
256610^114575+3^114576114576Mike Oakes09/2010
256710^114575+66561114576Patrick De Geest02/2017
256810^114575-581081114575Patrick De Geest02/2017
25692^380587-115315114569Enzo Doria06/2015
25702^380513-216925114546Enzo Doria05/2014
25712^380451-1840087114528Enzo Doria06/2015
2572(15*2^380388-1)/539114507Lelio R Paula04/2014
25732^380279-461347114476Enzo Doria07/2015
25742^380021+1871147114398Enzo Doria05/2016
25752^380005+1869707114393Enzo Doria05/2016
25762^379958-113297114379Enzo Doria07/2014
25772^379881-109105114356Enzo Doria04/2014
2578(21*2^379857-1)/13114349Lelio R Paula03/2014
2579(4*10^114340+83)/3114341Robert Price02/2018
2580(4*10^114296+149)/9114296Robert Price04/2018
258188^58773-87114284Norbert Schneider11/2015
25822^379529-2790283114250Enzo Doria03/2016
25832^379522+1869115114248Enzo Doria05/2016
2584(145*10^114226-1)/9114228Serge Batalov12/2014
25852^379317-115033114186Enzo Doria06/2015
2586(17*2^379246-1)/17407114162Lelio R Paula03/2014
2587(4*10^114076+143)/3114077Robert Price03/2018
2588(46*10^113969+683)/9113970Robert Price03/2019
25892*10^113941+9113942Dmitry Domanov11/2010
25904*10^113905+91113906Robert Price08/2018
25914*10^113874-21113875Robert Price09/2018
25922^378272-16565113872Enzo Doria04/2013
25932^378217-109075113855Enzo Doria04/2014
25942^378198+67113849Lelio R Paula03/2013
25952^378173-3249113842Yves Minet12/2014
2596(2^378155-5)/6597113833Lelio R Paula03/2014
259792941#+(355049#)/(92941#)113830Makoto Morimoto10/2017
25982^378128-262977113828Enzo Doria05/2014
25992^378123-113215113827Enzo Doria07/2014
26006^146274-18893113824Enzo Doria03/2013
26012^378078+75113813Lelio R Paula03/2013
26022^377940+63113772Lelio R Paula03/2013
26032^377941-2785843113772Enzo Doria04/2016
26042^377810+1875109113733Enzo Doria09/2016
26052^377803-1838635113731Enzo Doria05/2015
26062^377799+52223113729Yves Minet08/2010
260711^109190-270113710Enzo Doria12/2012
26087*10^113693+9113694Robert Price09/2015
26094*10^113658+49113659Robert Price01/2019
2610(2*10^113631+529)/9113631Robert Price01/2018
26112^377408-2798279113612Enzo Doria04/2016
26125*10^113586+57113587Robert Price12/2018
26132^377222+93679113556Yves Minet02/2011
2614262147#+316847113552Makoto Morimoto02/2016
26152^377026-458903113497Enzo Doria04/2015
261635^73477-34^73477113454Robert Price05/2012
26172^376790+27113426Lelio R Paula03/2013
26182^376786-112701113424Enzo Doria06/2014
26192^376731+21113408Lelio R Paula03/2013
26202^376634+1871245113379Enzo Doria05/2016
2621(4^188318+17)/3113379Robert Price02/2017
26222^376576-344369113361Enzo Doria07/2015
26232^376549-4543113353Yves Minet03/2019
2624(17*2^376526-1)/223113345Lelio R Paula03/2014
2625(27*2^376441-1)/811113319Lelio R Paula03/2014
26262^376128-21237113226Enzo Doria06/2013
26275*10^113224-81113225Robert Price01/2019
2628(46*10^113162+521)/9113163Robert Price02/2019
26292^375638-1787171113079Enzo Doria03/2016
26302^375537+4847113048Yves Minet02/2011
2631(17^91837+16^91837)/33113000Robert Price08/2013
26325*F(270343)*(F(270343)+1)+1112997Serge Batalov04/2015
26332^375350-3221112992Yves Minet07/2011
2634(13*2^375306+1)/7112979Lelio R Paula03/2014
26352^375305+76757112979Enzo Doria05/2016
26362^375258+1874989112964Enzo Doria07/2016
2637(29^77237-1)/28112950Robert Price04/2012
26382^375154+74959112933Enzo Doria04/2016
26392^374993-2787163112885Enzo Doria11/2015
2640123^53970+2112793Lelio R Paula06/2013
26412^374640-4685112778Yves Minet05/2019
2642p(22852)#/2+512112745Robert Price05/2017
2643(11*10^112742-131)/3112743Robert Price09/2018
26442^374441-21049112718Enzo Doria06/2013
2645(2^374321+1)/3112682H.&R. Lifchitz12/2000
2646(13^101089-1)/12112607Paul Bourdelais03/2010
26473^236011-8828112606Enzo Doria05/2014
264839^70666+2112435Lelio R Paula11/2013
2649(2^373350-7)/3112390Lelio R Paula03/2014
26502^373306-1840931112377Enzo Doria06/2015
26512^373117+1872107112320Enzo Doria05/2016
26522^373040+2792761112297Enzo Doria03/2016
2653EPrime(112280)112280Eric W. Weisstein10/2010
26542^372950+7112270Lelio R Paula03/2013
26552^372945+1872167112268Enzo Doria05/2016
26562^372695+72113112193Enzo Doria04/2016
26572^372689-2563112191Yves Minet07/2014
26582^372638-1859441112176Enzo Doria03/2016
26593^235074-113056112159Enzo Doria07/2014
2660131^52949-130112108Norbert Schneider02/2019
2661(91*10^112098-1)/9112100Robert Price04/2015
26622^372310-85061112077Paul Bourdelais02/2012
2663(10^112067+53)/9112067Serge Batalov07/2015
266475^59760+2112054Lelio R Paula08/2013
26652^372108+74221112016Enzo Doria04/2016
26665*10^112003+81112004Robert Price03/2019
2667215^48018+48018^215112000Norbert Schneider10/2018
26682^371970-459491111975Enzo Doria05/2015
266941^69427-40^69427111971Robert Price07/2012
2670(10^111902+71)/9111902Serge Batalov07/2015
26712^371440-112865111815Enzo Doria06/2014
26722^371426-459161111811Enzo Doria05/2015
26732^371276-461267111766Enzo Doria07/2015
26742^371098-113261111712Enzo Doria07/2014
2675(7*10^111706-61)/9111706Erik Branger01/2011
26762^371044+1869391111696Enzo Doria05/2016
267788^57416+87111645Norbert Schneider11/2015
26782^370829-109693111631Enzo Doria04/2014
267915^94906-2111619Lelio R Paula11/2013
26802^370695-4627111591Yves Minet05/2019
26812^370643-37111575Yves Minet01/2012
2682(2^370655-5)/2439111575Lelio R Paula03/2014
26832^370610-3911111565Yves Minet04/2017
2684286^45405+45405^286111532Norbert Schneider04/2015
26854*5^159563-9111531Lelio R Paula11/2014
2686(4^185225+23)/3111517Robert Price10/2018
26872^370393-2797093111500Enzo Doria03/2016
2688(21*2^370382-1)/629111495Lelio R Paula03/2014
26892^370292-2791979111469Enzo Doria03/2016
26902^370177-461551111435Enzo Doria07/2015
2691109^54683-108111413Norbert Schneider02/2017
2692numbpart(10^10+76282)111391Serge Batalov04/2015
26932^369974+733111374Lelio R Paula05/2013
2694121^53470+120111367Norbert Schneider10/2018
26952^369915-286267111356Enzo Doria07/2015
26962^369855-1615111338Lelio R Paula05/2017
26977*10^111325+3111326Robert Price08/2015
269851^65176+2111293Lelio R Paula08/2013
26992^369643-1865767111274Enzo Doria03/2016
27002^369603+885111262Lelio R Paula05/2017
2701L(532277)111240Renaud Lifchitz03/2004
2702105^55033-2111233Lelio R Paula10/2017
2703(35*10^111232-737)/9111233Robert Price07/2018
27042^369392+29835111199Lelio R Paula05/2017
27052^369354-3413111187Yves Minet12/2016
27062^369296-27111170Lelio R Paula02/2013
27072^369239-109837111153Enzo Doria05/2014
27082^369224-291839111148Enzo Doria07/2015
27092^369216+2798881111146Enzo Doria04/2016
271010^111111+163849111112Patrick De Geest03/2017
271110^111111-312911111111Patrick De Geest03/2017
27122^369092-216923111108Enzo Doria05/2014
27132^369081-55111105Lelio R Paula02/2013
271488^57124-87111077Norbert Schneider11/2015
27152^368980+753111075Lelio R Paula05/2013
27162^368946-3623111064Yves Minet03/2017
27172^368929+29835111059Lelio R Paula05/2017
27184^184463-3^184463111058Jean-Louis Charton12/2004
2719111^54298+110111057Norbert Schneider04/2017
2720(4*10^111032-7)/3111033Ray Chandler04/2011
27212^368641-460303110972Enzo Doria06/2015
27222^368619-109087110966Enzo Doria04/2014
2723(74*10^110961+313)/9110962Robert Price06/2019
27243*2^368489+7110927Lelio R Paula09/2014
2725(14*10^110922+61)/3110923Robert Price12/2018
272697411!4-2110913Robert Price07/2017
2727(9179*2^368330-1)/35110881Lelio R Paula05/2015
2728(34*10^110882-7)/9/13/29/1019374319110871Makoto Morimoto05/2016
27292^368050-64875110795Lelio R Paula05/2017
27302^368048+25110794Lelio R Paula02/2013
273169^60239-2110771Lelio R Paula10/2013
2732(23*2^367952+1)/15717110762Lelio R Paula03/2014
27332^367924-69110757Lelio R Paula02/2013
27342^367709-109723110692Enzo Doria04/2014
2735(3*2^367644-1)/107110671Lelio R Paula03/2014
2736(23*2^367398+1)/57963110595Lelio R Paula03/2014
2737140^51515-139110558Norbert Schneider04/2019
27382^367215+1879223110543Enzo Doria09/2016
27392^367141+41110521Lelio R Paula02/2013
27402^367126+29835110516Lelio R Paula05/2017
2741(11*10^110496+49)/3110497Robert Price07/2018
2742(31*2^366976+1)/7110472Lelio R Paula03/2014
27432^366853+5711110434Lelio R Paula05/2017
2744(21181*2^366833+1)/3110432Lelio R Paula07/2014
27452^366816+315110423Lelio R Paula05/2017
27462^366775-2787037110411Enzo Doria03/2016
2747(112*10^110405-1)/3110407Serge Batalov12/2014
27482^366751+2797553110404Enzo Doria03/2016
27492^366748+255110403Lelio R Paula05/2017
27502^366738-2985110400Yves Minet09/2014


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: June, 18 2019 07:14 (Time in France)

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