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 ?
2751(71*10^115810-17)/9115811Ray Chandler08/2011
2752(97*10^115794-1)/3115796Serge Batalov12/2014
27532*10^115784-27115785Robert Price05/2018
275410^115773+126739115774Patrick De Geest04/2018
275610^115773-1000000001115773Robert Price03/2018
275510^115773-396221115773Patrick De Geest04/2018
27572^384530+1874305115756Enzo Doria06/2016
2758(3*2^384524-1)/7631115750Lelio R Paula03/2014
2759(44*10^115697-413)/9115698Robert Price03/2019
27602^384312+81091115690Yves Minet02/2010
2761(4*10^115668-79)/3115669Robert Price02/2018
2762(266947#+1267)/(7^2*181)115647Makoto Morimoto06/2019
2763(266947#+273808)/(2*109*157)115646Makoto Morimoto10/2017
276418^92125-92125^18115642Dylan Delgado08/2019
27653^242337-4042115625Enzo Doria05/2014
27667*10^115561+79115562Robert Price07/2019
2767(11*2^383859-13)/15115553Renaud Lifchitz03/2011
27682^383780-3149115530Yves Minet10/2014
2769(41*10^115523-383)/9115524Robert Price11/2018
27702^383560-455115464Yves Minet03/2012
2771(2^383544+5)/3115458Lelio R Paula03/2014
277289^59221-88^59221115445Robert Price06/2015
27732^383347+1869413115399Enzo Doria05/2016
2774(2^383130-7)/131793115329Lelio R Paula03/2014
2775(12^106859+1)/13115320Paul Bourdelais02/2010
27762^383039+1869509115307Enzo Doria05/2016
2777(13*2^382968+1)/7115286Lelio R Paula04/2014
27782^382633+73697115185Enzo Doria04/2016
27792^382509-113593115147Enzo Doria08/2014
27802^382502-2791721115145Enzo Doria03/2016
27819^120590-120590115073Robert Price03/2014
27822^382198+9115054Lelio R Paula03/2013
2783(89*10^115030-179)/9115031Robert Price12/2019
27842^381883-59197114959Enzo Doria10/2015
27862^381806-4481114936Yves Minet07/2011
27852^381808-1851507114936Enzo Doria08/2015
27872^381774-112373114926Enzo Doria06/2014
27882^381555-109051114860Enzo Doria04/2014
27892^381546-113501114857Enzo Doria08/2014
27902^381360-110429114801Enzo Doria05/2014
2791(17*10^114795+79)/3114796Robert Price04/2019
2792(66^63079+1)/67114774Paul Bourdelais09/2017
27932^381252-115079114769Enzo Doria06/2015
27942^381209-29323114756Enzo Doria07/2015
2795569^41651-568^41651114754Jean-Louis Charton11/2009
27962^381201+1873205114753Enzo Doria06/2016
2797(85*10^114737+293)/9114738Robert Price12/2019
2798(265*10^114736+17)/3114738Robert Price03/2020
27992^380974-112991114685Enzo Doria07/2014
280088^58949-87114626Norbert Schneider11/2015
28012^380700+91114603Lelio R Paula03/2013
280210^114575+3^114576114576Mike Oakes09/2010
280310^114575+66561114576Patrick De Geest02/2017
280410^114575-581081114575Patrick De Geest02/2017
28052^380587-115315114569Enzo Doria06/2015
28062^380513-216925114546Enzo Doria05/2014
28072^380451-1840087114528Enzo Doria06/2015
2808(15*2^380388-1)/539114507Lelio R Paula04/2014
28092^380279-461347114476Enzo Doria07/2015
28102^380021+1871147114398Enzo Doria05/2016
28112^380005+1869707114393Enzo Doria05/2016
28122^379958-113297114379Enzo Doria07/2014
28132^379881-109105114356Enzo Doria04/2014
2814(21*2^379857-1)/13114349Lelio R Paula03/2014
2815(4*10^114340+83)/3114341Robert Price02/2018
2816(26*10^114317-77)/3114318Robert Price11/2019
2817(4*10^114296+149)/9114296Robert Price04/2018
281888^58773-87114284Norbert Schneider11/2015
28192^379529-2790283114250Enzo Doria03/2016
28202^379522+1869115114248Enzo Doria05/2016
2821(145*10^114226-1)/9114228Serge Batalov12/2014
28222^379317-115033114186Enzo Doria06/2015
2823(17*2^379246-1)/17407114162Lelio R Paula03/2014
2824(4*10^114076+143)/3114077Robert Price03/2018
2825(46*10^113969+683)/9113970Robert Price03/2019
28262*10^113941+9113942Dmitry Domanov11/2010
28274*10^113905+91113906Robert Price08/2018
28284*10^113874-21113875Robert Price09/2018
28292^378272-16565113872Enzo Doria04/2013
28302^378217-109075113855Enzo Doria04/2014
28312^378198+67113849Lelio R Paula03/2013
28322^378173-3249113842Yves Minet12/2014
2833(2^378155-5)/6597113833Lelio R Paula03/2014
283492941#+(355049#)/(92941#)113830Makoto Morimoto10/2017
28352^378128-262977113828Enzo Doria05/2014
28362^378123-113215113827Enzo Doria07/2014
28376^146274-18893113824Enzo Doria03/2013
28382^378078+75113813Lelio R Paula03/2013
28392^377940+63113772Lelio R Paula03/2013
28402^377941-2785843113772Enzo Doria04/2016
28412^377810+1875109113733Enzo Doria09/2016
28422^377803-1838635113731Enzo Doria05/2015
28432^377799+52223113729Yves Minet08/2010
284411^109190-270113710Enzo Doria12/2012
28457*10^113693+9113694Robert Price09/2015
2846(82*10^113681+161)/9113682Robert Price10/2019
28474*10^113658+49113659Robert Price01/2019
2848(2*10^113631+529)/9113631Robert Price01/2018
28492^377408-2798279113612Enzo Doria04/2016
28505*10^113586+57113587Robert Price12/2018
28512^377222+93679113556Yves Minet02/2011
2852262147#+316847113552Makoto Morimoto02/2016
28532^377026-458903113497Enzo Doria04/2015
2854(29*10^113468-17)/3113469Robert Price09/2019
285535^73477-34^73477113454Robert Price05/2012
28562^376790+27113426Lelio R Paula03/2013
28572^376786-112701113424Enzo Doria06/2014
28582^376731+21113408Lelio R Paula03/2013
28592^376634+1871245113379Enzo Doria05/2016
2860(4^188318+17)/3113379Robert Price02/2017
28612^376576-344369113361Enzo Doria07/2015
28622^376549-4543113353Yves Minet03/2019
2863(17*2^376526-1)/223113345Lelio R Paula03/2014
2864(27*2^376441-1)/811113319Lelio R Paula03/2014
28652^376128-21237113226Enzo Doria06/2013
28665*10^113224-81113225Robert Price01/2019
2867(46*10^113162+521)/9113163Robert Price02/2019
28682^375638-1787171113079Enzo Doria03/2016
28692^375537+4847113048Yves Minet02/2011
2870(17^91837+16^91837)/33113000Robert Price08/2013
28715*F(270343)*(F(270343)+1)+1112997Serge Batalov04/2015
28722^375350-3221112992Yves Minet07/2011
2873(13*2^375306+1)/7112979Lelio R Paula03/2014
28742^375305+76757112979Enzo Doria05/2016
28752^375258+1874989112964Enzo Doria07/2016
2876(29^77237-1)/28112950Robert Price04/2012
28772^375154+74959112933Enzo Doria04/2016
2878(85*10^112919+293)/9112920Robert Price12/2019
28792^374993-2787163112885Enzo Doria11/2015
2880123^53970+2112793Lelio R Paula06/2013
28812^374640-4685112778Yves Minet05/2019
2882p(22852)#/2+512112745Robert Price05/2017
2883(11*10^112742-131)/3112743Robert Price09/2018
28842^374441-21049112718Enzo Doria06/2013
2885(2^374321+1)/3112682H.&R. Lifchitz12/2000
2886(13^101089-1)/12112607Paul Bourdelais03/2010
28873^236011-8828112606Enzo Doria05/2014
288839^70666+2112435Lelio R Paula11/2013
2889(134*10^112400+7)/3112402Robert Price02/2020
2890(2^373350-7)/3112390Lelio R Paula03/2014
28912^373306-1840931112377Enzo Doria06/2015
2892(142*10^112352-7)/9112354Robert Price12/2019
28932^373117+1872107112320Enzo Doria05/2016
28942^373040+2792761112297Enzo Doria03/2016
2895EPrime(112280)112280Eric W. Weisstein10/2010
28962^372950+7112270Lelio R Paula03/2013
28972^372945+1872167112268Enzo Doria05/2016
28982^372695+72113112193Enzo Doria04/2016
28992^372689-2563112191Yves Minet07/2014
29002^372638-1859441112176Enzo Doria03/2016
29013^235074-113056112159Enzo Doria07/2014
2902131^52949-130112108Norbert Schneider02/2019
2903(91*10^112098-1)/9112100Robert Price04/2015
29042^372310-85061112077Paul Bourdelais02/2012
2905(10^112067+53)/9112067Serge Batalov07/2015
290675^59760+2112054Lelio R Paula08/2013
29078*10^112018-49112019Robert Price08/2019
29082^372108+74221112016Enzo Doria04/2016
2909(184*10^112007-1)/3112009Robert Price02/2020
29105*10^112003+81112004Robert Price03/2019
2911215^48018+48018^215112000Norbert Schneider10/2018
29122^371970-459491111975Enzo Doria05/2015
291341^69427-40^69427111971Robert Price07/2012
2914(10^111902+71)/9111902Serge Batalov07/2015
29152^371440-112865111815Enzo Doria06/2014
29162^371426-459161111811Enzo Doria05/2015
29172^371276-461267111766Enzo Doria07/2015
291898079!4-1024111747Robert Price11/2019
29192^371098-113261111712Enzo Doria07/2014
2920(7*10^111706-61)/9111706Erik Branger01/2011
29212^371044+1869391111696Enzo Doria05/2016
292288^57416+87111645Norbert Schneider11/2015
29232^370829-109693111631Enzo Doria04/2014
292415^94906-2111619Lelio R Paula11/2013
29252^370695-4627111591Yves Minet05/2019
29272^370643-37111575Yves Minet01/2012
2926(2^370655-5)/2439111575Lelio R Paula03/2014
29282^370610-3911111565Yves Minet04/2017
2929286^45405+45405^286111532Norbert Schneider04/2015
29304*5^159563-9111531Lelio R Paula11/2014
2931(4^185225+23)/3111517Robert Price10/2018
29322^370393-2797093111500Enzo Doria03/2016
2933(21*2^370382-1)/629111495Lelio R Paula03/2014
29342^370292-2791979111469Enzo Doria03/2016
29352^370177-461551111435Enzo Doria07/2015
2936109^54683-108111413Norbert Schneider02/2017
2937numbpart(10^10+76282)111391Serge Batalov04/2015
29382^369974+733111374Lelio R Paula05/2013
2939121^53470+120111367Norbert Schneider10/2018
29402^369915-286267111356Enzo Doria07/2015
29412^369855-1615111338Lelio R Paula05/2017
29427*10^111325+3111326Robert Price08/2015
294351^65176+2111293Lelio R Paula08/2013
29442^369643-1865767111274Enzo Doria03/2016
29452^369603+885111262Lelio R Paula05/2017
2946L(532277)111240Renaud Lifchitz03/2004
2947105^55033-2111233Lelio R Paula10/2017
2948(35*10^111232-737)/9111233Robert Price07/2018
29499*10^111201-29111202Robert Price09/2019
29502^369392+29835111199Lelio R Paula05/2017
29512^369354-3413111187Yves Minet12/2016
29522^369296-27111170Lelio R Paula02/2013
29532^369239-109837111153Enzo Doria05/2014
29542^369224-291839111148Enzo Doria07/2015
29552^369216+2798881111146Enzo Doria04/2016
295610^111111+163849111112Patrick De Geest03/2017
295710^111111-312911111111Patrick De Geest03/2017
29582^369092-216923111108Enzo Doria05/2014
29592^369081-55111105Lelio R Paula02/2013
296088^57124-87111077Norbert Schneider11/2015
29612^368980+753111075Lelio R Paula05/2013
29622^368946-3623111064Yves Minet03/2017
29632^368929+29835111059Lelio R Paula05/2017
29644^184463-3^184463111058Jean-Louis Charton12/2004
2965111^54298+110111057Norbert Schneider04/2017
2966(4*10^111032-7)/3111033Ray Chandler04/2011
29672^368641-460303110972Enzo Doria06/2015
29682^368619-109087110966Enzo Doria04/2014
2969(74*10^110961+313)/9110962Robert Price06/2019
29703*2^368489+7110927Lelio R Paula09/2014
2971(14*10^110922+61)/3110923Robert Price12/2018
297297411!4-2110913Robert Price07/2017
2973(9179*2^368330-1)/35110881Lelio R Paula05/2015
2974(34*10^110882-7)/9/13/29/1019374319110871Makoto Morimoto05/2016
29752^368050-64875110795Lelio R Paula05/2017
29762^368048+25110794Lelio R Paula02/2013
297769^60239-2110771Lelio R Paula10/2013
2978(23*2^367952+1)/15717110762Lelio R Paula03/2014
29792^367924-69110757Lelio R Paula02/2013
29802^367709-109723110692Enzo Doria04/2014
2981(3*2^367644-1)/107110671Lelio R Paula03/2014
2982(23*2^367398+1)/57963110595Lelio R Paula03/2014
2983140^51515-139110558Norbert Schneider04/2019
29842^367215+1879223110543Enzo Doria09/2016
29852^367141+41110521Lelio R Paula02/2013
29862^367126+29835110516Lelio R Paula05/2017
2987(11*10^110496+49)/3110497Robert Price07/2018
2988(31*2^366976+1)/7110472Lelio R Paula03/2014
29897*10^110468-23110469Robert Price07/2019
29902^366853+5711110434Lelio R Paula05/2017
2991(21181*2^366833+1)/3110432Lelio R Paula07/2014
29922^366816+315110423Lelio R Paula05/2017
29932^366775-2787037110411Enzo Doria03/2016
2994(112*10^110405-1)/3110407Serge Batalov12/2014
29952^366751+2797553110404Enzo Doria03/2016
29962^366748+255110403Lelio R Paula05/2017
29972^366738-2985110400Yves Minet09/2014
2998(23*2^366739+1)/74575110396Lelio R Paula03/2014
29992^366716+1871791110393Enzo Doria05/2016
30002^366649+1871687110373Enzo Doria05/2016


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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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