PRP Records

Probable Primes Top 10000

(252538 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 ?
5251(10223*2^280881+1)/6841984553Lelio R Paula06/2014
52522^280852+9768184545Yves Minet08/2004
52532^280848-120384544Lelio R Paula09/2013
52545^120946-2484538Lelio R Paula10/2015
52552^280810-211184533Yves Minet08/2013
525611^81161-516084521Enzo Doria01/2013
52572^280737-9384511Lelio R Paula08/2012
52582^280698+31584499Lelio R Paula09/2013
52593^177099-34084498Lelio R Paula12/2015
5260(5*10^84469-107)/384470Robert Price01/2017
5261(3^177002+7)/669602227216174484436Lelio R Paula12/2012
5262(2^280500-1017)/82384436Lelio R Paula01/2013
526314^73660-584424Lelio R Paula11/2015
5264(19*10^84409-61)/384410Robert Price04/2017
52652^280388+11784406Lelio R Paula08/2012
52662^280389-56653384406Paul Bourdelais03/2013
5267(141584^16384+1)/6553784390Syoichiro Yamada06/2008
5268119^40652+11884376Norbert Schneider09/2018
52692^280240-17384361Lelio R Paula08/2012
5270(184*10^84348-1)/384350Robert Price02/2017
52714*10^84346+9384347Robert Price01/2017
52727*2^280156-584337Lelio R Paula08/2014
52738*7^99782-384327Lelio R Paula10/2014
52742^280116+13384324Lelio R Paula08/2012
52752^280118+5461584324Lelio R Paula09/2013
5276(509203*2^280090-1)/384321Lelio R Paula04/2015
52776^108354+4784316Lelio R Paula12/2015
527810^84305+14196384306Patrick De Geest07/2013
527910^84305-5784305Robert Price05/2011
52809^88339+3*8^88339-2*4^88339-3*2^8833984297Mike Oakes01/2011
52813^176648-11280484283Enzo Doria06/2014
52826^108310+11584282Lelio R Paula12/2015
5283(11*2^279968-1)/584280Lelio R Paula02/2014
52846^108288-1664384265Enzo Doria02/2013
52852^279917-5869584264Lelio R Paula08/2013
528665^46477+3684259Lelio R Paula01/2016
52872^279866-190784249Yves Minet05/2013
5288(3^176580-5)/2807684246Lelio R Paula12/2012
5289(p(17530)#+4)/284246Robert Price09/2017
5290(2*10^84239+1)/384239Serge Batalov07/2009
529218^67103-4184233Lelio R Paula11/2015
529120^64743-4384233Lelio R Paula01/2016
5293143^39070+39070^14384209Serge Batalov05/2014
529411^80857-540084204Enzo Doria01/2013
5295(13*10^84179+161)/384180Robert Price04/2017
52962^279634-11040584179Enzo Doria05/2014
5297(74*10^84170+313)/984171Robert Price11/2017
52982^279582-101784163Lelio R Paula08/2013
5299(22*10^84159-19)/384160Robert Price02/2017
5300p(17513)#/2+51284156Robert Price05/2017
5301(19*10^84144-43)/384145Robert Price10/2017
5302(9*2^279507-1)/13784139Lelio R Paula02/2014
530311^80792-81084137Enzo Doria11/2012
5304(97*10^84134-1)/384136Serge Batalov12/2014
5305p(17507)#/2+3284125Robert Price12/2016
530621485^8224+8224^2148584116Hans Havermann04/2017
53073^176294-34084114Lelio R Paula12/2015
5308(3^176287+4)/219184107Lelio R Paula12/2012
53092^279388-71984105Yves Minet05/2012
5310(22699*2^279378+1)/22184104Lelio R Paula06/2014
53112^279332-11044784088Enzo Doria05/2014
53122^279320+784084Lelio R Paula06/2012
5313127^39966-284081Lelio R Paula10/2017
5314(11*2^279240-1)/9584059Lelio R Paula02/2014
53152^279218-11134784053Enzo Doria05/2014
531635^54435+284052Lelio R Paula05/2013
5317(31*2^279191-1)/1251152384040Lelio R Paula02/2014
531820996^10059+10059^2099684038Hans Havermann05/2017
531997*10^84033-384035Robert Price01/2017
532021234^9067+9067^2123484033Hans Havermann05/2017
5321(134569^16384+1)/284033Richard Fischer06/2018
53222^279095-10971784016Enzo Doria04/2014
532314^73282-9983991Lelio R Paula11/2015
532421457^8200+8200^2145783979Hans Havermann06/2017
532589*10^83976-783978Robert Price03/2017
53262^278955+17383974Lelio R Paula06/2012
5327(7*2^278851+1)/3983942Lelio R Paula12/2012
5328(9913*2^278844-1)/4080383940Lelio R Paula04/2015
53295^120076-1484683930Enzo Doria02/2013
5330(85*10^83921-1)/383923Robert Price07/2017
5331(2^278770-3)/2383917Lelio R Paula12/2012
5332(10^83916+449)/983916Serge Batalov12/2014
53342^278715+9983902Lelio R Paula06/2012
5333(132109^16384+1)/283902Richard Fischer05/2018
533540235!2-2^4023583899Robert Price09/2015
53362^278698-17183897Lelio R Paula06/2012
5337(19*10^83894-43)/383895Robert Price10/2017
53386^107802+2583887Lelio R Paula12/2015
53398*10^83880+3983881Robert Price01/2017
5340(58*10^83878+23)/983879Robert Price09/2015
53417^99244-9083871Lelio R Paula10/2015
53422^278554+425783854Lelio R Paula08/2013
53432^278504-10961983839Enzo Doria04/2014
53442^278499+187043383837Enzo Doria05/2016
5345105^41475+10483829Norbert Schneider11/2016
534615^71276-6883828Lelio R Paula11/2015
53472^278464-21641383827Enzo Doria04/2013
5348(76*10^83816-211)/983817Robert Price10/2017
5349(8*10^83811-101)/383812Robert Price10/2017
53502^278400+4075583807Lelio R Paula08/2013
5351(9*2^278381-1)/783802Lelio R Paula02/2014
53523*9^87813+6^87813+2*4^8781383796Mike Oakes12/2010
535319551^19268+19268^1955183773Hans Havermann05/2017
535420625^11522+11522^2062583770Hans Havermann05/2017
5355(44*10^83768-791)/983769Robert Price10/2017
5356(87^43189+1)/8883764Paul Bourdelais08/2017
53572^278235-4983758Lelio R Paula06/2012
535823543^3610+3610^2354383755Hans Havermann05/2017
536018^66711-9183741Lelio R Paula11/2015
53594*10^83740-8983741Robert Price08/2017
5361(3*2^278172-1)/1183738Lelio R Paula02/2014
5362(15*29^57251+2561)/2883724Curtis Bright05/2015
53634*7^99059-983716Lelio R Paula10/2014
5364(2^278128-3)/12684472414983714Lelio R Paula12/2012
53652^278077+186721183710Enzo Doria03/2016
53662^278059-2783705Lelio R Paula06/2012
5367214^35917+35917^21483702Norbert Schneider12/2014
5368(23*10^83693+7)/383694Robert Price10/2015
536985^43375-283689Lelio R Paula09/2013
53705*3^175360+483669Lelio R Paula07/2014
5371(23^61441-1)/2283665Robert Price01/2012
537220091^14596+14596^2009183664Hans Havermann03/2017
53732^277907-11062983659Enzo Doria05/2014
537419522^19283+19283^1952283656Hans Havermann04/2017
53758*5^119664-383643Lelio R Paula10/2014
53768*3^175299-783640Lelio R Paula07/2014
5377(26*10^83638-413)/983639Robert Price10/2017
53783^175250+2283616Robert Price12/2013
538011^80285+3083609Lelio R Paula10/2015
537926870^1293+1293^2687083609Hans Havermann03/2017
53812^277691+187442383594Enzo Doria06/2016
538213^75022-6083571Lelio R Paula11/2015
538314^72905-5183559Lelio R Paula11/2015
5384(17*2^277565-1)/54383554Lelio R Paula02/2014
53855^119532-1283550Lelio R Paula10/2015
53866^107358-1625383541Enzo Doria02/2013
53872^277478-46021183530Enzo Doria06/2015
5388(22*10^83525-7)/383526Erik Branger09/2014
5389(30^56543+1)/3183520Robert Price07/2013
53902^277417-46078383511Paul Bourdelais04/2013
5391(22699*2^277387+1)/21983504Lelio R Paula06/2014
5392(31*2^277383-1)/24783500Lelio R Paula02/2014
539321368^8085+8085^2136883500Hans Havermann04/2017
5394(9*2^277342+1)/1383489Lelio R Paula12/2012
53955^119439-6683485Lelio R Paula10/2015
5396(14*10^83471-101)/383472Robert Price04/2017
53975*6^107263+783468Lelio R Paula10/2014
5398(64*10^83461-1)/983462Serge Batalov11/2010
53992^277244-17570983459Hans Havermann10/2018
540017^67796-9283420Lelio R Paula11/2015
54012^277106-11005783418Enzo Doria04/2014
54026^107200-1983418Lelio R Paula12/2015
540311^80096-183083412Enzo Doria12/2012
54043^174801+5683402Lelio R Paula12/2015
54052^277033-11197383396Enzo Doria05/2014
5406120^40105-11983386Norbert Schneider09/2018
540720519^11572+11572^2051983378Hans Havermann03/2017
540820850^9971+9971^2085083374Hans Havermann03/2017
54096^107122-1886383358Enzo Doria03/2013
54104*10^83354-8983355Robert Price08/2017
54113^174697-3483352Robert Price11/2013
5412(9787*2^276855-1)/234583343Lelio R Paula04/2015
54132^276825+7522783333Enzo Doria04/2016
54145^119214+8483328Lelio R Paula10/2015
54152^276803-15983327Lelio R Paula06/2012
5416(3*2^276753-1)/2583311Lelio R Paula02/2014
5417114^40495+40495^11483295Norbert Schneider12/2014
541839967!2+102483282Robert Price02/2015
54202^276641+5783278Lelio R Paula06/2012
541935^53934-341483278Enzo Doria03/2013
5421(2^276655+78557)/36542583276Lelio R Paula12/2012
54222^276615-403583270Lelio R Paula08/2013
54232^276588+115583262Lelio R Paula08/2013
54252^276587-93783261Yves Minet10/2009
54242^276584-11318383261Enzo Doria07/2014
5426(2^276592-1017)/1384373983256Lelio R Paula12/2012
54272^276547-10959183249Enzo Doria04/2014
542813^74733-3283249Lelio R Paula11/2015
54292^276523-258783242Yves Minet07/2014
543018^66311-4383239Lelio R Paula11/2015
543111^79919-153083228Enzo Doria12/2012
54322^276468-10974583226Enzo Doria04/2014
54332^276462+538583224Lelio R Paula08/2013
5434(9787*2^276422-1)/383215Lelio R Paula04/2015
54362^276391-1583202Lelio R Paula06/2012
5435(4*10^83201+173)/383202Robert Price01/2017
54372^276316-10965583180Enzo Doria04/2014
54382^276305-11206383177Enzo Doria06/2014
5439(10^(2*41585+1)+54*10^41585-1)/983171Robert Price04/2017
544074913!4-283161Robert Price07/2017
54412^276227-183720783153Enzo Doria05/2015
5442(2^276227+3)/783152Lelio R Paula12/2012
54432^276184-6338983140Paul Bourdelais02/2012
54442^276066-11160383105Enzo Doria05/2014
5445(2^276028-3)*6-783094Gilbert Mozzo09/2016
5446(2^275897+9)/115383051Lelio R Paula12/2012
54472^275879-10980783048Enzo Doria04/2014
5449F(397379)83047Henri Lifchitz08/2003
5448U(397379)83047Serge Batalov03/2015
54503^174040-1483039Robert Price08/2013
5451(86*10^83038-221)/983039Robert Price06/2017
54522^275841-688383037Lelio R Paula07/2011
54533^174002-14083021Lelio R Paula12/2015
54546^106681+7783014Lelio R Paula12/2015
5455187^36539-283011Lelio R Paula10/2017
545611^79701-315083001Enzo Doria12/2012
5457(55459*2^275657+1)/2182985Lelio R Paula06/2014
5458(7*10^82960-457)/982960Robert Price09/2017
54592^275535-685582945Lelio R Paula08/2013
54613^173828-1482938Robert Price08/2013
54602^275512-10967782938Enzo Doria04/2014
54622^275446-11004582918Enzo Doria04/2014
5463(2^275473+47)/2952609744782916Lelio R Paula12/2012
54643^173755-1482903Robert Price08/2013
5465(182*10^82898+43)/982900Robert Price11/2017
54662^275363-11230982893Enzo Doria06/2014
546761^46427-6082888Norbert Schneider10/2014
54683*10^82880-7^8288082881Mike Oakes02/2010
54702^275290+9019582871Lelio R Paula07/2013
5469(35*10^82870-71)/982871Robert Price05/2015
54712^275270-185962182865Enzo Doria03/2016
54722^275259+8182862Henri Lifchitz01/2007
5473(113703^16384+1)/282834Richard Fischer04/2018
54747^98003+98003^7+182823Robert Price05/2014
547510^82790+12604382791Patrick De Geest07/2013
547610^82790-4782790Robert Price05/2011
54772^274985-11266382779Enzo Doria06/2014
54782^274935+1501582764Lelio R Paula07/2013
5479(17*2^274922+1)/382761Lelio R Paula12/2012
5480(43*10^82752-61)/982753Robert Price06/2015
5481(3*2^274862+1)/102782740Lelio R Paula12/2012
5482(31*2^274848-1)/406582736Lelio R Paula02/2014
5483(4^137405+23)/382726Robert Price02/2017
54842^274791-11049182721Enzo Doria05/2014
5485(11*2^274776-1)/9582715Lelio R Paula02/2014
5486(47*10^82706-119)/982707Robert Price09/2017
54872^274704-11139582695Enzo Doria05/2014
54882^274686-391182689Yves Minet04/2017
5489(2^274663-1017)/4887131829227982669Lelio R Paula12/2012
5490(3^173263-5)/1449882664Lelio R Paula12/2012
54912^274511-6487582637Lelio R Paula08/2013
549212^76572-8382636Lelio R Paula11/2015
54933^173191-2^17319182634Mike Oakes02/2004
549414^72072-1582604Lelio R Paula11/2015
5495(55459*2^274339+1)/382589Lelio R Paula06/2014
54962^274351+12382588Lelio R Paula06/2012
5497(1017*2^274339-1)/351582584Lelio R Paula04/2015
54986^106086+11382551Lelio R Paula12/2015
5499(17*10^82540-377)/982541Robert Price11/2017
55002^274093-5869582511Lelio R Paula07/2013


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: February, 14 2019 10:37 (Time in France)

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