PRP Records

Probable Primes Top 10000

(252675 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 ?
25012^382502-2791721115145Enzo Doria03/2016
25029^120590-120590115073Robert Price03/2014
25032^382198+9115054Lelio R Paula03/2013
25042^381883-59197114959Enzo Doria10/2015
25062^381806-4481114936Yves Minet07/2011
25052^381808-1851507114936Enzo Doria08/2015
25072^381774-112373114926Enzo Doria06/2014
25082^381555-109051114860Enzo Doria04/2014
25092^381546-113501114857Enzo Doria08/2014
25102^381360-110429114801Enzo Doria05/2014
2511(17*10^114795+79)/3114796Robert Price04/2019
2512(66^63079+1)/67114774Paul Bourdelais09/2017
25132^381252-115079114769Enzo Doria06/2015
25142^381209-29323114756Enzo Doria07/2015
2515569^41651-568^41651114754Jean-Louis Charton11/2009
25162^381201+1873205114753Enzo Doria06/2016
25172^380974-112991114685Enzo Doria07/2014
251888^58949-87114626Norbert Schneider11/2015
25192^380700+91114603Lelio R Paula03/2013
252010^114575+3^114576114576Mike Oakes09/2010
252110^114575+66561114576Patrick De Geest02/2017
252210^114575-581081114575Patrick De Geest02/2017
25232^380587-115315114569Enzo Doria06/2015
25242^380513-216925114546Enzo Doria05/2014
25252^380451-1840087114528Enzo Doria06/2015
2526(15*2^380388-1)/539114507Lelio R Paula04/2014
25272^380279-461347114476Enzo Doria07/2015
25282^380021+1871147114398Enzo Doria05/2016
25292^380005+1869707114393Enzo Doria05/2016
25302^379958-113297114379Enzo Doria07/2014
25312^379881-109105114356Enzo Doria04/2014
2532(21*2^379857-1)/13114349Lelio R Paula03/2014
2533(4*10^114340+83)/3114341Robert Price02/2018
2534(4*10^114296+149)/9114296Robert Price04/2018
253588^58773-87114284Norbert Schneider11/2015
25362^379529-2790283114250Enzo Doria03/2016
25372^379522+1869115114248Enzo Doria05/2016
2538(145*10^114226-1)/9114228Serge Batalov12/2014
25392^379317-115033114186Enzo Doria06/2015
2540(17*2^379246-1)/17407114162Lelio R Paula03/2014
2541(4*10^114076+143)/3114077Robert Price03/2018
2542(46*10^113969+683)/9113970Robert Price03/2019
25432*10^113941+9113942Dmitry Domanov11/2010
25444*10^113905+91113906Robert Price08/2018
25454*10^113874-21113875Robert Price09/2018
25462^378272-16565113872Enzo Doria04/2013
25472^378217-109075113855Enzo Doria04/2014
25482^378198+67113849Lelio R Paula03/2013
25492^378173-3249113842Yves Minet12/2014
2550(2^378155-5)/6597113833Lelio R Paula03/2014
255192941#+(355049#)/(92941#)113830Makoto Morimoto10/2017
25522^378128-262977113828Enzo Doria05/2014
25532^378123-113215113827Enzo Doria07/2014
25546^146274-18893113824Enzo Doria03/2013
25552^378078+75113813Lelio R Paula03/2013
25562^377940+63113772Lelio R Paula03/2013
25572^377941-2785843113772Enzo Doria04/2016
25582^377810+1875109113733Enzo Doria09/2016
25592^377803-1838635113731Enzo Doria05/2015
25602^377799+52223113729Yves Minet08/2010
256111^109190-270113710Enzo Doria12/2012
25627*10^113693+9113694Robert Price09/2015
25634*10^113658+49113659Robert Price01/2019
2564(2*10^113631+529)/9113631Robert Price01/2018
25652^377408-2798279113612Enzo Doria04/2016
25665*10^113586+57113587Robert Price12/2018
25672^377222+93679113556Yves Minet02/2011
2568262147#+316847113552Makoto Morimoto02/2016
25692^377026-458903113497Enzo Doria04/2015
257035^73477-34^73477113454Robert Price05/2012
25712^376790+27113426Lelio R Paula03/2013
25722^376786-112701113424Enzo Doria06/2014
25732^376731+21113408Lelio R Paula03/2013
25742^376634+1871245113379Enzo Doria05/2016
2575(4^188318+17)/3113379Robert Price02/2017
25762^376576-344369113361Enzo Doria07/2015
25772^376549-4543113353Yves Minet03/2019
2578(17*2^376526-1)/223113345Lelio R Paula03/2014
2579(27*2^376441-1)/811113319Lelio R Paula03/2014
25802^376128-21237113226Enzo Doria06/2013
25815*10^113224-81113225Robert Price01/2019
2582(46*10^113162+521)/9113163Robert Price02/2019
25832^375638-1787171113079Enzo Doria03/2016
25842^375537+4847113048Yves Minet02/2011
2585(17^91837+16^91837)/33113000Robert Price08/2013
25865*F(270343)*(F(270343)+1)+1112997Serge Batalov04/2015
25872^375350-3221112992Yves Minet07/2011
2588(13*2^375306+1)/7112979Lelio R Paula03/2014
25892^375305+76757112979Enzo Doria05/2016
25902^375258+1874989112964Enzo Doria07/2016
2591(29^77237-1)/28112950Robert Price04/2012
25922^375154+74959112933Enzo Doria04/2016
25932^374993-2787163112885Enzo Doria11/2015
2594123^53970+2112793Lelio R Paula06/2013
2595p(22852)#/2+512112745Robert Price05/2017
2596(11*10^112742-131)/3112743Robert Price09/2018
25972^374441-21049112718Enzo Doria06/2013
2598(2^374321+1)/3112682H.&R. Lifchitz12/2000
2599(13^101089-1)/12112607Paul Bourdelais03/2010
26003^236011-8828112606Enzo Doria05/2014
260139^70666+2112435Lelio R Paula11/2013
2602(2^373350-7)/3112390Lelio R Paula03/2014
26032^373306-1840931112377Enzo Doria06/2015
26042^373117+1872107112320Enzo Doria05/2016
26052^373040+2792761112297Enzo Doria03/2016
2606EPrime(112280)112280Eric W. Weisstein10/2010
26072^372950+7112270Lelio R Paula03/2013
26082^372945+1872167112268Enzo Doria05/2016
26092^372695+72113112193Enzo Doria04/2016
26102^372689-2563112191Yves Minet07/2014
26112^372638-1859441112176Enzo Doria03/2016
26123^235074-113056112159Enzo Doria07/2014
2613131^52949-130112108Norbert Schneider02/2019
2614(91*10^112098-1)/9112100Robert Price04/2015
26152^372310-85061112077Paul Bourdelais02/2012
2616(10^112067+53)/9112067Serge Batalov07/2015
261775^59760+2112054Lelio R Paula08/2013
26182^372108+74221112016Enzo Doria04/2016
26195*10^112003+81112004Robert Price03/2019
2620215^48018+48018^215112000Norbert Schneider10/2018
26212^371970-459491111975Enzo Doria05/2015
262241^69427-40^69427111971Robert Price07/2012
2623(10^111902+71)/9111902Serge Batalov07/2015
26242^371440-112865111815Enzo Doria06/2014
26252^371426-459161111811Enzo Doria05/2015
26262^371276-461267111766Enzo Doria07/2015
26272^371098-113261111712Enzo Doria07/2014
2628(7*10^111706-61)/9111706Erik Branger01/2011
26292^371044+1869391111696Enzo Doria05/2016
263088^57416+87111645Norbert Schneider11/2015
26312^370829-109693111631Enzo Doria04/2014
263215^94906-2111619Lelio R Paula11/2013
26332^370643-37111575Yves Minet01/2012
2634(2^370655-5)/2439111575Lelio R Paula03/2014
26352^370610-3911111565Yves Minet04/2017
2636286^45405+45405^286111532Norbert Schneider04/2015
26374*5^159563-9111531Lelio R Paula11/2014
2638(4^185225+23)/3111517Robert Price10/2018
26392^370393-2797093111500Enzo Doria03/2016
2640(21*2^370382-1)/629111495Lelio R Paula03/2014
26412^370292-2791979111469Enzo Doria03/2016
26422^370177-461551111435Enzo Doria07/2015
2643109^54683-108111413Norbert Schneider02/2017
2644numbpart(10^10+76282)111391Serge Batalov04/2015
26452^369974+733111374Lelio R Paula05/2013
2646121^53470+120111367Norbert Schneider10/2018
26472^369915-286267111356Enzo Doria07/2015
26482^369855-1615111338Lelio R Paula05/2017
26497*10^111325+3111326Robert Price08/2015
265051^65176+2111293Lelio R Paula08/2013
26512^369643-1865767111274Enzo Doria03/2016
26522^369603+885111262Lelio R Paula05/2017
2653L(532277)111240Renaud Lifchitz03/2004
2654105^55033-2111233Lelio R Paula10/2017
2655(35*10^111232-737)/9111233Robert Price07/2018
26562^369392+29835111199Lelio R Paula05/2017
26572^369354-3413111187Yves Minet12/2016
26582^369296-27111170Lelio R Paula02/2013
26592^369239-109837111153Enzo Doria05/2014
26602^369224-291839111148Enzo Doria07/2015
26612^369216+2798881111146Enzo Doria04/2016
266210^111111+163849111112Patrick De Geest03/2017
266310^111111-312911111111Patrick De Geest03/2017
26642^369092-216923111108Enzo Doria05/2014
26652^369081-55111105Lelio R Paula02/2013
266688^57124-87111077Norbert Schneider11/2015
26672^368980+753111075Lelio R Paula05/2013
26682^368946-3623111064Yves Minet03/2017
26692^368929+29835111059Lelio R Paula05/2017
26704^184463-3^184463111058Jean-Louis Charton12/2004
2671111^54298+110111057Norbert Schneider04/2017
2672(4*10^111032-7)/3111033Ray Chandler04/2011
26732^368641-460303110972Enzo Doria06/2015
26742^368619-109087110966Enzo Doria04/2014
26753*2^368489+7110927Lelio R Paula09/2014
2676(14*10^110922+61)/3110923Robert Price12/2018
267797411!4-2110913Robert Price07/2017
2678(9179*2^368330-1)/35110881Lelio R Paula05/2015
2679(34*10^110882-7)/9/13/29/1019374319110871Makoto Morimoto05/2016
26802^368050-64875110795Lelio R Paula05/2017
26812^368048+25110794Lelio R Paula02/2013
268269^60239-2110771Lelio R Paula10/2013
2683(23*2^367952+1)/15717110762Lelio R Paula03/2014
26842^367924-69110757Lelio R Paula02/2013
26852^367709-109723110692Enzo Doria04/2014
2686(3*2^367644-1)/107110671Lelio R Paula03/2014
2687(23*2^367398+1)/57963110595Lelio R Paula03/2014
26882^367215+1879223110543Enzo Doria09/2016
26892^367141+41110521Lelio R Paula02/2013
26902^367126+29835110516Lelio R Paula05/2017
2691(11*10^110496+49)/3110497Robert Price07/2018
2692(31*2^366976+1)/7110472Lelio R Paula03/2014
26932^366853+5711110434Lelio R Paula05/2017
2694(21181*2^366833+1)/3110432Lelio R Paula07/2014
26952^366816+315110423Lelio R Paula05/2017
26962^366775-2787037110411Enzo Doria03/2016
2697(112*10^110405-1)/3110407Serge Batalov12/2014
26982^366751+2797553110404Enzo Doria03/2016
26992^366748+255110403Lelio R Paula05/2017
27002^366738-2985110400Yves Minet09/2014
2701(23*2^366739+1)/74575110396Lelio R Paula03/2014
27022^366716+1871791110393Enzo Doria05/2016
27032^366649+1871687110373Enzo Doria05/2016
27042^366629-351205110367Enzo Doria06/2015
27052^366558+1874479110345Enzo Doria06/2016
270618^87853-4409110280Enzo Doria03/2013
27072^366218-23110243Lelio R Paula02/2013
2708(21*2^366193-1)/197110235Lelio R Paula03/2014
27092^366178-343991110231Enzo Doria07/2015
27102^365944+1871341110161Enzo Doria05/2016
27112^365838-461267110129Enzo Doria07/2015
27122^365763-6555110106Lelio R Paula04/2017
2713(2^365689+2^182845+1)/511008311/2006
27142^365666-459161110077Enzo Doria05/2015
27153*10^110076-7110077Robert Price08/2015
271613^98785-72110041Lelio R Paula03/2017
2717(25^78707+1)/26110027Robert Price06/2013
2718(7*10^110006-151)/9110006Robert Price02/2018
27196^141361-7110001Lelio R Paula11/2014
272020^84536+81109984Lelio R Paula03/2017
27215*2^365347-9109982Lelio R Paula09/2014
27229*6^141303+7109957Lelio R Paula11/2014
272378^58099+77109929Norbert Schneider02/2015
27242*10^109928-7109929Robert Price10/2015
2725(27*2^365137-1)/2021109916Lelio R Paula03/2014
2726(4441*29^75152-24)/7109905Curtis Bright05/2015
2727(2^365087+7)/6015109899Lelio R Paula01/2014
272818^87533-11109878Lelio R Paula04/2017
27292^364982-5109871Henri Lifchitz04/2006
27303*10^109861+59109862Robert Price08/2018
27312^364936-1867979109857Enzo Doria04/2016
27322^364867-112087109836Enzo Doria06/2014
27334^182415-85061109825Mike Oakes06/2011
2734(17^89227+16^89227)/33109788Robert Price08/2013
27352^364687-187109782Lelio R Paula01/2012
27362^364644+67109769Lelio R Paula01/2012
2737(9787*2^364625-1)/24947109763Lelio R Paula05/2015
2738(2^364616+5)/9109760Lelio R Paula01/2014
2739(55*10^109759+89)/9109760Robert Price03/2019
274012^101694+73109747Lelio R Paula03/2017
274113^98518-66109744Lelio R Paula03/2017
27432^364478-113261109719Enzo Doria07/2014
2742(2^364513+1)/(3*44290516579)109719Gord Palameta08/2018
2744(24737*2^364454+1)/3109716Lelio R Paula07/2014
2745(62*10^109673+1)/9109674Serge Batalov11/2010
27463^229824+340109654Lelio R Paula03/2017
2747(2*10^109645-71)/3109645Robert Price12/2017
27482^364169-112813109626Enzo Doria06/2014
274910^109615+21109616Lelio R Paula03/2017
275010^109615-456267109615Patrick De Geest03/2017


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: April, 20 2019 09:21 (Time in France)

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