PRP Records

Probable Primes Top 10000

(183432 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 (> 30000) Who ? When ?
20012^386389-1864783116315Enzo Doria03/2016
2002(31*2^386231-1)/1711116266Lelio R Paula03/2014
2003(2^386087-5)/40959116220Lelio R Paula03/2014
20042^385969-823116189Yves Minet05/2012
200557^66162+2116173Lelio R Paula08/2013
20062^385854+75049116154Enzo Doria04/2016
20072^385775-109587116130Enzo Doria04/2014
20082^385622+71839116084Enzo Doria04/2016
20092^385564+781116067Lelio R Paula01/2012
20102^385410+71893116020Enzo Doria04/2016
2011(25*2^385091+1)/27115924Lelio R Paula04/2014
20122^384953-111943115883Paul Bourdelais02/2012
201343^70942-2115882Lelio R Paula04/2014
20147*10^115863+3115864Robert Price08/2015
20152^384834+93115847Donovan Johnson07/2008
20162^384809+71297115840Enzo Doria04/2016
2017(7*2^384759-1)/5115825Lelio R Paula04/2014
2018(71*10^115810-17)/9115811Ray Chandler08/2011
2019(97*10^115794-1)/3115796Serge Batalov12/2014
20202^384530+1874305115756Enzo Doria06/2016
2021(3*2^384524-1)/7631115750Lelio R Paula03/2014
20222^384312+81091115690Yves Minet02/2010
20233^242337-4042115625Enzo Doria05/2014
2024(11*2^383859-13)/15115553Renaud Lifchitz03/2011
20252^383780-3149115530Yves Minet10/2014
20262^383560-455115464Yves Minet03/2012
2027(2^383544+5)/3115458Lelio R Paula03/2014
202889^59221-88^59221115445Robert Price06/2015
20292^383347+1869413115399Enzo Doria05/2016
2030(2^383130-7)/131793115329Lelio R Paula03/2014
2031(12^106859+1)/13115320Paul Bourdelais02/2010
20322^383039+1869509115307Enzo Doria05/2016
2033(13*2^382968+1)/7115286Lelio R Paula04/2014
20342^382633+73697115185Enzo Doria04/2016
20352^382509-113593115147Enzo Doria08/2014
20362^382502-2791721115145Enzo Doria03/2016
20379^120590-120590115073Robert Price03/2014
20382^382198+9115054Lelio R Paula03/2013
20392^381883-59197114959Enzo Doria10/2015
20412^381806-4481114936Yves Minet07/2011
20402^381808-1851507114936Enzo Doria08/2015
20422^381774-112373114926Enzo Doria06/2014
20432^381555-109051114860Enzo Doria04/2014
20442^381546-113501114857Enzo Doria08/2014
20452^381360-110429114801Enzo Doria05/2014
2046(66^63079+1)/67114774Paul Bourdelais09/2017
20472^381252-115079114769Enzo Doria06/2015
20482^381209-29323114756Enzo Doria07/2015
2049569^41651-568^41651114754Jean-Louis Charton11/2009
20502^381201+1873205114753Enzo Doria06/2016
20512^380974-112991114685Enzo Doria07/2014
205288^58949-87114626Norbert Schneider11/2015
20532^380700+91114603Lelio R Paula03/2013
205510^114575+3^114576114576Mike Oakes09/2010
205410^114575+66561114576Patrick De Geest02/2017
205610^114575-581081114575Patrick De Geest02/2017
20572^380587-115315114569Enzo Doria06/2015
20582^380513-216925114546Enzo Doria05/2014
20592^380451-1840087114528Enzo Doria06/2015
2060(15*2^380388-1)/539114507Lelio R Paula04/2014
20612^380279-461347114476Enzo Doria07/2015
20622^380021+1871147114398Enzo Doria05/2016
20632^380005+1869707114393Enzo Doria05/2016
20642^379958-113297114379Enzo Doria07/2014
20652^379881-109105114356Enzo Doria04/2014
2066(21*2^379857-1)/13114349Lelio R Paula03/2014
206788^58773-87114284Norbert Schneider11/2015
20682^379529-2790283114250Enzo Doria03/2016
20692^379522+1869115114248Enzo Doria05/2016
2070(145*10^114226-1)/9114228Serge Batalov12/2014
20712^379317-115033114186Enzo Doria06/2015
2072(17*2^379246-1)/17407114162Lelio R Paula03/2014
20732*10^113941+9113942Dmitry Domanov11/2010
20742^378272-16565113872Enzo Doria04/2013
20752^378217-109075113855Enzo Doria04/2014
20762^378198+67113849Lelio R Paula03/2013
20772^378173-3249113842Yves Minet12/2014
2078(2^378155-5)/6597113833Lelio R Paula03/2014
20792^378128-262977113828Enzo Doria05/2014
20802^378123-113215113827Enzo Doria07/2014
20816^146274-18893113824Enzo Doria03/2013
20822^378078+75113813Lelio R Paula03/2013
20832^377940+63113772Lelio R Paula03/2013
20842^377941-2785843113772Enzo Doria04/2016
20852^377810+1875109113733Enzo Doria09/2016
20862^377803-1838635113731Enzo Doria05/2015
20872^377799+52223113729Yves Minet08/2010
208811^109190-270113710Enzo Doria12/2012
20897*10^113693+9113694Robert Price09/2015
20902^377408-2798279113612Enzo Doria04/2016
20912^377222+93679113556Yves Minet02/2011
2092262147#+316847113552Makoto Morimoto02/2016
20932^377026-458903113497Enzo Doria04/2015
209435^73477-34^73477113454Robert Price05/2012
20952^376790+27113426Lelio R Paula03/2013
20962^376786-112701113424Enzo Doria06/2014
20972^376731+21113408Lelio R Paula03/2013
20982^376634+1871245113379Enzo Doria05/2016
2099(4^188318+17)/3113379Robert Price02/2017
21002^376576-344369113361Enzo Doria07/2015
2101(17*2^376526-1)/223113345Lelio R Paula03/2014
2102(27*2^376441-1)/811113319Lelio R Paula03/2014
21032^376128-21237113226Enzo Doria06/2013
21042^375638-1787171113079Enzo Doria03/2016
21052^375537+4847113048Yves Minet02/2011
2106(17^91837+16^91837)/33113000Robert Price08/2013
21075*F(270343)*(F(270343)+1)+1112997Serge Batalov04/2015
21082^375350-3221112992Yves Minet07/2011
2109(13*2^375306+1)/7112979Lelio R Paula03/2014
21102^375305+76757112979Enzo Doria05/2016
21112^375258+1874989112964Enzo Doria07/2016
2112(29^77237-1)/28112950Robert Price04/2012
21132^375154+74959112933Enzo Doria04/2016
21142^374993-2787163112885Enzo Doria11/2015
2115123^53970+2112793Lelio R Paula06/2013
2116p(22852)#/2+512112745Robert Price05/2017
21172^374441-21049112718Enzo Doria06/2013
2118(2^374321+1)/3112682H.&R. Lifchitz12/2000
2119(13^101089-1)/12112607Paul Bourdelais03/2010
21203^236011-8828112606Enzo Doria05/2014
212139^70666+2112435Lelio R Paula11/2013
2122(2^373350-7)/3112390Lelio R Paula03/2014
21232^373306-1840931112377Enzo Doria06/2015
21242^373117+1872107112320Enzo Doria05/2016
21252^373040+2792761112297Enzo Doria03/2016
2126EPrime(112280)112280Eric W. Weisstein10/2010
21272^372950+7112270Lelio R Paula03/2013
21282^372945+1872167112268Enzo Doria05/2016
21292^372695+72113112193Enzo Doria04/2016
21302^372689-2563112191Yves Minet07/2014
21312^372638-1859441112176Enzo Doria03/2016
21323^235074-113056112159Enzo Doria07/2014
2133(91*10^112098-1)/9112100Robert Price04/2015
21342^372310-85061112077Paul Bourdelais02/2012
2135(10^112067+53)/9112067Serge Batalov07/2015
213675^59760+2112054Lelio R Paula08/2013
21372^372108+74221112016Enzo Doria04/2016
21382^371970-459491111975Enzo Doria05/2015
213941^69427-40^69427111971Robert Price07/2012
2140(10^111902+71)/9111902Serge Batalov07/2015
21412^371440-112865111815Enzo Doria06/2014
21422^371426-459161111811Enzo Doria05/2015
21432^371276-461267111766Enzo Doria07/2015
21442^371098-113261111712Enzo Doria07/2014
2145(7*10^111706-61)/9111706Erik Branger01/2011
21462^371044+1869391111696Enzo Doria05/2016
214788^57416+87111645Norbert Schneider11/2015
21482^370829-109693111631Enzo Doria04/2014
214915^94906-2111619Lelio R Paula11/2013
21512^370643-37111575Yves Minet01/2012
2150(2^370655-5)/2439111575Lelio R Paula03/2014
21522^370610-3911111565Yves Minet04/2017
2153286^45405+45405^286111532Norbert Schneider04/2015
21544*5^159563-9111531Lelio R Paula11/2014
21552^370393-2797093111500Enzo Doria03/2016
2156(21*2^370382-1)/629111495Lelio R Paula03/2014
21572^370292-2791979111469Enzo Doria03/2016
21582^370177-461551111435Enzo Doria07/2015
2159109^54683-108111413Norbert Schneider02/2017
2160numbpart(10^10+76282)111391Serge Batalov04/2015
21612^369974+733111374Lelio R Paula05/2013
21622^369915-286267111356Enzo Doria07/2015
21632^369855-1615111338Lelio R Paula05/2017
21647*10^111325+3111326Robert Price08/2015
216551^65176+2111293Lelio R Paula08/2013
21662^369643-1865767111274Enzo Doria03/2016
21672^369603+885111262Lelio R Paula05/2017
2168L(532277)111240Renaud Lifchitz03/2004
21692^369392+29835111199Lelio R Paula05/2017
21702^369354-3413111187Yves Minet12/2016
21712^369296-27111170Lelio R Paula02/2013
21722^369239-109837111153Enzo Doria05/2014
21732^369224-291839111148Enzo Doria07/2015
21742^369216+2798881111146Enzo Doria04/2016
217510^111111+163849111112Patrick De Geest03/2017
217610^111111-312911111111Patrick De Geest03/2017
21772^369092-216923111108Enzo Doria05/2014
21782^369081-55111105Lelio R Paula02/2013
217988^57124-87111077Norbert Schneider11/2015
21802^368980+753111075Lelio R Paula05/2013
21812^368946-3623111064Yves Minet03/2017
21822^368929+29835111059Lelio R Paula05/2017
21834^184463-3^184463111058Jean-Louis Charton12/2004
2184111^54298+110111057Norbert Schneider04/2017
2185(4*10^111032-7)/3111033Ray Chandler04/2011
21862^368641-460303110972Enzo Doria06/2015
21872^368619-109087110966Enzo Doria04/2014
21883*2^368489+7110927Lelio R Paula09/2014
218997411!4-2110913Robert Price07/2017
2190(9179*2^368330-1)/35110881Lelio R Paula05/2015
2191(34*10^110882-7)/9/13/29/1019374319110871Makoto Morimoto05/2016
21922^368050-64875110795Lelio R Paula05/2017
21932^368048+25110794Lelio R Paula02/2013
219469^60239-2110771Lelio R Paula10/2013
2195(23*2^367952+1)/15717110762Lelio R Paula03/2014
21962^367924-69110757Lelio R Paula02/2013
21972^367709-109723110692Enzo Doria04/2014
2198(3*2^367644-1)/107110671Lelio R Paula03/2014
2199(23*2^367398+1)/57963110595Lelio R Paula03/2014
22002^367215+1879223110543Enzo Doria09/2016
22012^367141+41110521Lelio R Paula02/2013
22022^367126+29835110516Lelio R Paula05/2017
2203(31*2^366976+1)/7110472Lelio R Paula03/2014
22042^366853+5711110434Lelio R Paula05/2017
2205(21181*2^366833+1)/3110432Lelio R Paula07/2014
22062^366816+315110423Lelio R Paula05/2017
22072^366775-2787037110411Enzo Doria03/2016
2208(112*10^110405-1)/3110407Serge Batalov12/2014
22092^366751+2797553110404Enzo Doria03/2016
22102^366748+255110403Lelio R Paula05/2017
22112^366738-2985110400Yves Minet09/2014
2212(23*2^366739+1)/74575110396Lelio R Paula03/2014
22132^366716+1871791110393Enzo Doria05/2016
22142^366649+1871687110373Enzo Doria05/2016
22152^366629-351205110367Enzo Doria06/2015
22162^366558+1874479110345Enzo Doria06/2016
221718^87853-4409110280Enzo Doria03/2013
22182^366218-23110243Lelio R Paula02/2013
2219(21*2^366193-1)/197110235Lelio R Paula03/2014
22202^366178-343991110231Enzo Doria07/2015
22212^365944+1871341110161Enzo Doria05/2016
22222^365838-461267110129Enzo Doria07/2015
22232^365763-6555110106Lelio R Paula04/2017
2224(2^365689+2^182845+1)/511008311/2006
22252^365666-459161110077Enzo Doria05/2015
22263*10^110076-7110077Robert Price08/2015
222713^98785-72110041Lelio R Paula03/2017
2228(25^78707+1)/26110027Robert Price06/2013
22296^141361-7110001Lelio R Paula11/2014
223020^84536+81109984Lelio R Paula03/2017
22315*2^365347-9109982Lelio R Paula09/2014
22329*6^141303+7109957Lelio R Paula11/2014
223378^58099+77109929Norbert Schneider02/2015
22342*10^109928-7109929Robert Price10/2015
2235(27*2^365137-1)/2021109916Lelio R Paula03/2014
2236(4441*29^75152-24)/7109905Curtis Bright05/2015
2237(2^365087+7)/6015109899Lelio R Paula01/2014
223818^87533-11109878Lelio R Paula04/2017
22392^364982-5109871Henri Lifchitz04/2006
22402^364936-1867979109857Enzo Doria04/2016
22412^364867-112087109836Enzo Doria06/2014
22424^182415-85061109825Mike Oakes06/2011
2243(17^89227+16^89227)/33109788Robert Price08/2013
22442^364687-187109782Lelio R Paula01/2012
22452^364644+67109769Lelio R Paula01/2012
2246(9787*2^364625-1)/24947109763Lelio R Paula05/2015
2247(2^364616+5)/9109760Lelio R Paula01/2014
224812^101694+73109747Lelio R Paula03/2017
224913^98518-66109744Lelio R Paula03/2017
22502^364478-113261109719Enzo Doria07/2014


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: October, 17 2017 09:44 (Time in France)

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