PRP Records

Probable Primes Top 10000

(277034 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*10^132493-43132494Robert Price04/2018
2502(418*10^132441+23)/9132443Robert Price02/2020
25032^439931-21132433Lelio R Paula08/2017
250447^79201-46^79201132432Robert Price10/2012
25052^439897-113653132423Enzo Doria08/2014
2506(5*2^439822+1)/9132400Lelio R Paula06/2015
2507(112*10^132337-1)/3132339Serge Batalov12/2014
25082^439576-113247132326Enzo Doria07/2014
25092^439497-29143132302Enzo Doria07/2015
25102^439409-114193132276Enzo Doria12/2014
2511(44*10^132233-233)/9132234Robert Price01/2019
25129*10^132148-7132149Robert Price09/2015
2513(47*10^132125-119)/9132126Robert Price05/2019
25142^438845+1870217132106Enzo Doria05/2016
25152^438789+87855132089Lelio R Paula01/2016
25162^438774-2786411132085Enzo Doria03/2016
25172^438755-1848205132079Enzo Doria07/2015
25182^438739-112087132074Enzo Doria06/2014
251913907#+(318259#)/(13907#)131923Makoto Morimoto10/2017
2520L(631181)131910Henri Lifchitz09/2008
2521(47*10^131886-119)/9131887Robert Price05/2019
2522(3*2^438121+1)/4308193883131879Lelio R Paula06/2015
25232^438079-1863877131875Enzo Doria03/2016
2524(2^438067+5)/329131869Lelio R Paula06/2015
25252^437908-113855131824Enzo Doria09/2014
25262^437884-286349131817Enzo Doria07/2015
2527(11*10^131784-17)/3131785Robert Price06/2018
25284*10^131719-93131720Robert Price07/2020
25293^276062-112292131716Enzo Doria07/2014
2530(7*10^131682+89)/3131683Robert Price08/2020
25312^437343+75953131654Enzo Doria04/2016
253235^85243-34^85243131621Robert Price05/2012
2533(203*10^131457+1)/3131459Robert Price03/2020
2534(68^71713+1)/69131413Paul Bourdelais09/2017
25352^436451+1884713131385Enzo Doria03/2017
25362^436365+35131359Robert Price11/2015
25382^436300+1866871131340Enzo Doria03/2016
2537(7*10^131339+179)/3131340Robert Price09/2018
253914^114592-3131338Paul Bourdelais12/2020
2540(37*10^131270+341)/9131271Robert Price08/2018
2541(5*10^131223-29)/3131224Robert Price03/2018
2542(23*2^435891-1)/699131215Lelio R Paula07/2015
2543(11*2^435879+1)/3337131211Lelio R Paula06/2015
2545(2^435808+1)/641/6700417131182Lelio R Paula02/2012
2544(2^435808+1)/4294967297131182Serge Batalov12/2016
25472^435773+1875557131181Enzo Doria06/2016
2546(16*10^131180+167)/3131181Robert Price06/2019
2548(26*10^131180-77)/3131181Robert Price11/2019
2549(25*10^131144-7)/9131145Robert Price05/2018
25502^435612-2789939131133Enzo Doria12/2015
255166^72047-65^72047131093Robert Price09/2013
2552(5*10^131090+37)/3131091Robert Price03/2018
25532^435468+75631131089Enzo Doria04/2016
255437^83588-2131083Lelio R Paula08/2015
2555(4^217720+11)/3131081Robert Price02/2017
25562^435202-113193131009Enzo Doria07/2014
25579*10^130998-19130999Robert Price07/2019
2558floor((sqrt(5)-1)/2*10^130911)130911Serge Batalov06/2017
25592^434835-111937130899Enzo Doria05/2014
25602^434685+72257130854Enzo Doria04/2016
2561(7*10^130825+113)/3130826Robert Price02/2018
25622^434539-29317130810Enzo Doria07/2015
25632^434469-114259130789Enzo Doria01/2015
25642^434246+33130722Robert Price11/2015
25659*10^130638+41130639Robert Price08/2020
25662^433911-91130621Lelio R Paula06/2017
25672^433744-114419130570Enzo Doria02/2015
25692^433708+1869451130560Enzo Doria05/2016
25682^433710+93130560Lelio R Paula06/2017
2570(29*2^433547-1)/27130511Lelio R Paula06/2015
25714*10^130480+9130481Robert Price05/2015
2572(23*2^433449-1)/75130481Lelio R Paula06/2015
2573(23*2^433334-1)/3731130445Lelio R Paula06/2015
25742^433023-113497130353Enzo Doria08/2014
25752^433002+1179379130347Enzo Doria06/2016
25762^432974+19130339Robert Price08/2015
2577(2^432457-1)/1672739247834685086279697130159Tony Prest / Never Odd Or Even09/2013
25782^432217+41130111Lelio R Paula06/2017
2579(2^216089*(2^216091-1)-339)/25130098Makoto Morimoto03/2017
2580((2^216091+1066)^2+(2^216091+1066)+41)/47/2069130095Makoto Morimoto05/2016
258197^65480-2130094Lelio R Paula05/2017
25824*10^130088-89130089Robert Price11/2018
25832^432117-113215130081Enzo Doria07/2014
25842^431804+72511129986Enzo Doria04/2016
2585(3^272141-3^136071+1)/7129844Serge Batalov03/2014
2586(47*10^129789-119)/9129790Robert Price05/2019
2587(9*2^431141+1)/17129787Lelio R Paula06/2015
2588(29*2^430881-1)/21129709Lelio R Paula06/2015
25892^430807+1869563129686Enzo Doria05/2016
25902^430721-21429129660Enzo Doria07/2013
25912^430415-276271129568Enzo Doria07/2015
2592(199*10^129487-7)/3129489Robert Price05/2020
25932^430142-2791721129486Enzo Doria03/2016
2594(7*10^129472-13)/3129473Robert Price07/2018
2595(8*10^129469+79)/3129470Robert Price10/2020
25962^429568-21017129313Enzo Doria07/2013
2597(11*10^129239-179)/3129240Robert Price09/2018
25982^429194-112685129201Enzo Doria06/2014
25992^429145-2780449129186Enzo Doria04/2016
26002^428892-113453129110Enzo Doria07/2014
2601(11*2^428881-7)/15129106Renaud Lifchitz03/2011
26022^428727-113959129060Enzo Doria10/2014
2603(7*2^428725-1)/13129059Lelio R Paula05/2014
2604(10^129051-31)/3129051Serge Batalov12/2014
2605(134*10^129038+7)/3129040Robert Price02/2020
26062^428564+71161129011Enzo Doria04/2016
26072^428502-113285128992Enzo Doria07/2014
26082^428421-21373128968Enzo Doria06/2013
2609L(616787)128901Henri Lifchitz09/2008
261020^99055-3128874Paul Bourdelais12/2020
261191^65772-2128851Lelio R Paula05/2017
26122^428022+43128848Lelio R Paula05/2017
26132^427999-459397128841Enzo Doria05/2015
26142^427993+76847128839Enzo Doria05/2016
26152^427824-1851507128788Enzo Doria08/2015
26162^427807-21469128783Enzo Doria07/2013
261711^123594-240128710Enzo Doria09/2012
26182^427504-21503128692Enzo Doria07/2013
26192^427420+91128667Lelio R Paula05/2017
2620(68*10^128645-257)/9128646Robert Price07/2019
26212^427269-113635128621Enzo Doria08/2014
26222^427130+1877569128579Enzo Doria08/2016
26232^427016-115349128545Enzo Doria07/2015
2624(4*10^128510+137)/3128511Robert Price03/2018
26252^426889-112879128507Enzo Doria06/2014
26262^426804+1869931128481Enzo Doria05/2016
26272^426750+77635128465Enzo Doria05/2016
26282^426425-91128367Lelio R Paula05/2017
2629(15*2^426398-1)/11128359Lelio R Paula05/2014
26302^426352+74971128345Enzo Doria04/2016
2631(199*10^128343-7)/3128345Robert Price05/2020
26324*10^128343-21128344Robert Price09/2018
26332^426300-1863689128330Enzo Doria03/2016
26342^426293+1881017128327Enzo Doria11/2016
2635(88*10^128324-637)/9128325Robert Price11/2020
26362^426043+35128252Robert Price11/2015
2637(4*10^128244-19)/3128245Robert Price03/2018
2638(305*10^128198+1)/9128200Robert Price02/2020
26392^425808-459959128181Enzo Doria06/2015
26402^425627-113605128127Enzo Doria08/2014
2641(22*10^128094+53)/3128095Robert Price07/2019
2642(86*10^128086-221)/9128087Robert Price09/2019
264318565^30002-30002^18565128070Norbert Schneider01/2015
2644(2^425287-9)/2737128021Lelio R Paula05/2015
2645(3*2^425233-1)/25128007Lelio R Paula05/2014
26462^425205+4911128000Marek Hubal02/2017
26472^425118-113663127974Enzo Doria08/2014
2648(86*10^127967-329)/9127968Robert Price01/2020
26492^425061+1869761127957Enzo Doria05/2016
2650746^44541+44541^746127955Norbert Schneider07/2019
26512^424918-21141127914Enzo Doria07/2013
26522^424864-29489127897Enzo Doria08/2015
2653(97*10^127858-1)/3127860Serge Batalov12/2014
26542^424632-2786639127827Enzo Doria03/2016
26552^424577-113755127811Enzo Doria09/2014
2656(7*2^424512-1)/3127792Lelio R Paula05/2014
2657(56*10^127752+691)/9127753Robert Price05/2019
265811^122629-720127705Enzo Doria11/2012
265922*10^127645+3127647Robert Price01/2020
26604*10^127562-39127563Robert Price09/2020
26612^423696-21429127546Enzo Doria07/2013
26622^423664-1864559127536Enzo Doria03/2016
26633^267267-4127519Henri Lifchitz10/2014
2664(103*10^127491+17)/3127493Robert Price08/2020
2665(19^99689+5^99689)/24127477Robert Price09/2013
2666(21*2^423372+1)/101127447Lelio R Paula05/2014
26672^423328-21537127435Enzo Doria07/2013
2668(67*10^127413-7)/3127415Robert Price01/2020
2669(2*10^127407+73)/3127407Robert Price09/2020
2670(2^423165-7)/25127384Lelio R Paula05/2015
2671(112*10^127324+17)/3127326Robert Price03/2020
2672(F(5)^182099-F(4)^182099)/F(3)127282Wayne Halsdorf08/2013
2673(16*10^127259+197)/3127260Robert Price04/2019
2674(26*10^127240+61)/3127241Robert Price10/2019
2675(234483*27^88884-145)/26127230Curtis Bright05/2015
26762^422515-114997127190Enzo Doria06/2015
26775*10^127179-3127180Robert Price07/2015
2678(44*10^127169-233)/9127170Robert Price01/2019
26795*10^127153+77127154Robert Price12/2018
2680736^44335+44335^736127104Norbert Schneider07/2019
2681-516776642557847117490*Bern(37960)/34256837217082767928421792453127042Thomas Ritschel06/2017
2682(78^67141-1)/77127036Paul Bourdelais09/2017
26832^421860-113285126993Enzo Doria07/2014
2684(2^421827-7)/11126982Lelio R Paula05/2015
268511^121910-840126957Enzo Doria12/2012
2686(29*10^126928-77)/3126929Robert Price02/2020
2687(259*10^126919-1)/3126921Robert Price12/2020
268810^126919-100001126919Robert Price07/2020
2689(71^68539+1)/72126882Paul Bourdelais09/2017
2690(5*10^126871-119)/3126872Robert Price03/2018
2691331^50339-10004126846Enzo Doria07/2012
26922^421363-2790757126843Enzo Doria03/2016
2693(106*10^126839-1)/3126841Serge Batalov12/2014
2694(7*2^421243+1)/39126807Lelio R Paula05/2014
2695(14*10^126784-83)/3126785Robert Price12/2018
26962^421161-286183126783Enzo Doria06/2015
26972^420939-113935126716Enzo Doria10/2014
2698177^56363-2126703Lelio R Paula10/2017
26992^420741-113659126656Enzo Doria08/2014
27002^420694-21126642Lelio R Paula05/2017
2702(13*10^126638+437)/9126639Robert Price04/2018
2701(167*10^126637-17)/3126639Robert Price03/2020
27034*10^126625+87126626Robert Price08/2018
2704(31*2^420556+1)/7126601Lelio R Paula05/2014
27057*10^126600-99126601Robert Price06/2019
27062^420424-59189126561Enzo Doria10/2015
27072^420126+71893126471Enzo Doria04/2016
2708(43*10^126441+47)/9126442Robert Price12/2018
27092^419866+1877059126393Enzo Doria07/2016
2710F(604711)126377Henri Lifchitz02/2005
27112^419757+72707126360Enzo Doria04/2016
27122^419720-21569126349Enzo Doria07/2013
27132^419637+29126324Henri Lifchitz02/2006
27142^419612+1876741126316Enzo Doria07/2016
27152^419520+2793271126289Enzo Doria03/2016
2716(2^419447-5)/369126264Lelio R Paula05/2014
27172^419328-1859939126231Enzo Doria03/2016
27182^419282-1851507126217Enzo Doria08/2015
27192^419251+1866143126208Enzo Doria03/2016
272011^121185+2126202Robert Price05/2014
2721(23*2^419036-1)/1393126141Lelio R Paula05/2014
27222^418851+23126087Robert Price09/2015
2723(2^418849-9)/2681126083Lelio R Paula05/2014
27242^418829+167126081Lelio R Paula01/2012
2725(31*2^418782-1)/75891126063Lelio R Paula05/2014
2726(19*2^418754-1)/15126058Lelio R Paula05/2014
27272^418319-109501125927Enzo Doria04/2014
27282^418316-112373125926Enzo Doria06/2014
2729(8*10^125894-29)/3125895Robert Price07/2018
2730(26*10^125886-413)/9125887Robert Price05/2018
27312^417968+1869811125821Enzo Doria06/2016
27322^417902+63125802Lelio R Paula09/2015
2733(10^125792-91)/9125792Serge Batalov12/2014
2734(35*10^125754-593)/9125755Robert Price07/2018
2735(32*10^125751-77)/9125752Robert Price06/2018
27362^417704+77011125742Enzo Doria05/2016
2737(10^125706+149)/3125706Serge Batalov12/2014
27382^417419-115309125656Enzo Doria07/2015
27392^417300+77281125620Enzo Doria05/2016
27402^417095-1657125559Yves Minet07/2014
2741(88*10^125492-637)/9125493Robert Price11/2020
27422^416773-25125462Lelio R Paula09/2015
2743(289511#+292834)/(2^3*146417)125444Makoto Morimoto10/2017
2744(11*2^416691+1)/43125436Lelio R Paula05/2014
2745(289511#+1896)/(2*3^3*79*780193*9911849)125434Makoto Morimoto06/2019
27462^416641-2*416641+1125422Robert Price05/2018
2747(21*2^416566-1)/17125399Lelio R Paula05/2014
27482^416530+1870429125389Enzo Doria05/2016
2749(56*10^125385+691)/9125386Robert Price05/2019
27502^416490+1875109125376Enzo Doria09/2016


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: January, 18 2021 19:57 (Time in France)

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