PRP Records

Probable Primes Top 10000

(201620 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 ?
2501(31*2^355970+1)/5107159Lelio R Paula03/2014
25022^355968-64875107158Lelio R Paula01/2017
25032^355952+1870321107153Enzo Doria05/2016
25042^355915-117107142Lelio R Paula11/2011
2505(19*2^355838-1)/15107119Lelio R Paula03/2014
25063^224495-8107112Lelio R Paula12/2013
25077^126691-44107067Lelio R Paula03/2017
25084^177830-8243107065Mike Oakes02/2011
25092^355524-21237107024Enzo Doria06/2013
2510(10223*2^355515+1)/4855107022Lelio R Paula07/2014
25112^355494-19901107015Enzo Doria06/2013
25122^355454-869688105107003Lelio R Paula01/2017
25132^355366+54615106976Lelio R Paula01/2017
2514(31*2^355346-1)/1563106969Lelio R Paula03/2014
25152^355275-19861106949Enzo Doria06/2013
2516(9179*2^355234-1)/1915106937Lelio R Paula05/2015
25174*10^106892-3106893Robert Price10/2015
2518(66^58741+1)/67106881Paul Bourdelais08/2017
25192^354946-3106850M. Frind & P. Underwood08/2002
25202^354873-18693106828Enzo Doria05/2013
25212^354828+4257106814Lelio R Paula01/2017
2522(21^80761+1)/22106783Paul Bourdelais03/2010
25232^354640-354640+1106758Robert Price10/2014
25242^354585+95106741Lelio R Paula10/2011
25252^354553+189106732Lelio R Paula10/2011
25262^354514-109031106720Enzo Doria04/2014
25272^354509-109465106718Enzo Doria04/2014
2528(15*2^354478-1)/26983106706Lelio R Paula03/2014
252915^90710+28106684Lelio R Paula04/2017
25307^126237+34106683Lelio R Paula03/2017
25312^354385-115315106681Enzo Doria06/2015
25322^354327-19305106664Enzo Doria06/2013
2533(35*10^106649+1)/9106650Serge Batalov11/2010
253410^106636+97106637Lelio R Paula02/2017
253510^106636-22923106636Patrick De Geest03/2017
25362^354220-57106631Lelio R Paula10/2011
25372^354157-17041106612Enzo Doria05/2013
253812^98778+73106600Lelio R Paula02/2017
25392^354064+1870651106584Enzo Doria05/2016
25402^353992-57106563Lelio R Paula10/2011
25412^353832-1853849106515Enzo Doria09/2015
2542(7^126037-1)/6106513Paul Bourdelais09/2008
25432^353794-18453106503Enzo Doria05/2013
25442^353728+7695106483Lelio R Paula01/2017
25452^353672-303106466Yves Minet02/2012
25466^136811+101106460Lelio R Paula02/2017
25472^353641+1871981106457Enzo Doria05/2016
25482^353553+54615106431Lelio R Paula01/2017
25492^353544-18897106428Enzo Doria05/2013
25506^136729-133106396Lelio R Paula02/2017
25512^353418+1605106390Lelio R Paula01/2017
25522^353387+65106381Lelio R Paula10/2011
25532^353372+74311106376Enzo Doria04/2016
25542^353344-3693106368Yves Minet03/2017
25552^353277-20089106347Enzo Doria06/2013
25562^353275+72173106347Enzo Doria04/2016
25572^353268-17705106345Enzo Doria05/2013
25582^353267-19857106344Enzo Doria06/2013
2559222748^3+3^222748106278Anatoly F. Selevich12/2010
2560(9179*2^353019-1)/9106273Lelio R Paula05/2015
25612^353025+72257106272Enzo Doria04/2016
25622^352932-20345106244Enzo Doria06/2013
2563(2^353011-3)/745325861246794515484535106244Lelio R Paula12/2013
25642^352883-187106229Lelio R Paula10/2011
256520^81649-19^81649106228Jean-Louis Charton03/2011
25662^352814-131106208Lelio R Paula10/2011
25672^352752+73951106189Enzo Doria04/2016
25686^136434+5106167Lelio R Paula11/2014
25697*5^151872-8106155Lelio R Paula11/2014
2570105^52520-2106153Lelio R Paula10/2017
25712^352601-1604809106144Enzo Doria05/2015
257212^98353-43106141Lelio R Paula02/2017
25732^352585-18901106139Enzo Doria05/2013
2574(2^352554-3)/193106128Lelio R Paula12/2013
25752^352540+15015106126Lelio R Paula01/2017
25762^352524-3149106121Yves Minet10/2014
25772^352486-1858781106109Enzo Doria04/2016
25782^352444+12705106097Lelio R Paula01/2017
25792^352228-18953106032Enzo Doria05/2013
25802^352107+1872533105995Enzo Doria05/2016
25812^352066-2591105983Yves Minet07/2014
25822^352030+715105972Lelio R Paula10/2011
25839*6^136176-5105967Lelio R Paula11/2014
258417099*2^351991+58329105965Paul Vanderveen12/2017
2585155^48377+2105962Lelio R Paula08/2013
25862^351865+1869707105922Enzo Doria05/2016
25872^351831+23105912Lelio R Paula10/2011
25889*2^351784-5105899Lelio R Paula09/2014
25892^351671-112387105864Enzo Doria06/2014
25902^351669-109501105863Enzo Doria04/2014
25912^351644+74731105856Enzo Doria04/2016
259213^95025-42105853Lelio R Paula12/2016
25932^351599+15015105842Lelio R Paula01/2017
259419^82763+90105834Lelio R Paula01/2017
2595(9179*2^351540-1)/221105826Lelio R Paula05/2015
259620^81329-51105812Lelio R Paula01/2017
25972^351483+28425105807Lelio R Paula01/2017
259815^89960+86105802Lelio R Paula02/2017
25992^351460-17289105801Enzo Doria05/2013
260019^82735+22105798Lelio R Paula01/2017
26012^351435-109077105793Enzo Doria04/2014
26022^351393+1089105780Lelio R Paula01/2017
26032^351364+72631105772Enzo Doria04/2016
26042^351305+1872467105754Enzo Doria05/2016
26053^221649+16105754Lelio R Paula11/2016
26068*3^221637-5105749Lelio R Paula09/2014
26072^351279-2780449105746Enzo Doria03/2016
260815^89903-26105735Lelio R Paula02/2017
26092^351213-73105726Lelio R Paula10/2011
26102^351192-4589105720Yves Minet07/2011
261120^81250-33105709Lelio R Paula12/2016
26122^351076-113159105685Enzo Doria07/2014
261393^53688-2105684Lelio R Paula09/2013
26142^351060-4559105680Yves Minet07/2011
261511^101473-750105674Enzo Doria11/2012
26163*5^151181-8105672Lelio R Paula11/2014
261715^89831-34105650Lelio R Paula02/2017
261911^101448-360105648Enzo Doria08/2012
26183*7^125011+4105648Lelio R Paula11/2014
26202^350943-113269105645Enzo Doria07/2014
26212^350868-19725105622Enzo Doria06/2013
26222^350858-59291105619Enzo Doria10/2015
26232^350851+135105617Lelio R Paula10/2011
26242^350841-741105614Lelio R Paula01/2017
26258*10^105571+3105572Robert Price08/2015
26262*5^151026-3105563Lelio R Paula11/2014
2627(2^350702+5)/34264674063105562Lelio R Paula12/2013
26286^135647-5^135647105554Jean-Louis Charton02/2009
26293^221211+236105545Lelio R Paula11/2016
263010^105515+33105516Lelio R Paula11/2016
263110^105515-41033105515Patrick De Geest12/2016
2632(29*2^350473-1)/267927105499Lelio R Paula03/2014
263317^85732-72105489Lelio R Paula01/2017
26342^350307-110329105453Enzo Doria05/2014
26352^350253-20365105437Enzo Doria06/2013
2636(3*29^72089-1075)/4105423Curtis Bright05/2015
26372^350139-109009105403Enzo Doria04/2014
26383*5^150763+4105380Lelio R Paula11/2014
263912^97643+91105375Lelio R Paula02/2017
26406*5^150744-7105367Lelio R Paula11/2014
26412^349996-112169105360Enzo Doria06/2014
264211^101142-1080105329Enzo Doria12/2012
2643(68*10^105320-41)/9105321Robert Price10/2013
26443^220712-9934105307Enzo Doria05/2014
26457*10^105296+9105297Robert Price09/2015
26462^349739+1873373105282Enzo Doria06/2016
26477^124574+24105278Lelio R Paula11/2016
26482^349708-20957105273Enzo Doria06/2013
26492^349649-20469105255Enzo Doria06/2013
26502^349607-20109105243Enzo Doria06/2013
26512^349594-19085105239Enzo Doria05/2013
26522^349530+1874479105220Enzo Doria06/2016
2653(3^220528+8)/8081105215Lelio R Paula12/2013
26543^220464-112852105189Enzo Doria07/2014
26552^349419-17349105186Enzo Doria05/2013
26562^349400-2579105180Yves Minet07/2014
26578*5^150471+3105176Lelio R Paula11/2014
265813^94403+94105160Lelio R Paula12/2016
26592^349301-112309105151Enzo Doria06/2014
26609*2^349220+5105127Lelio R Paula09/2014
26617*3^220317+8105119Lelio R Paula09/2014
26627^124386+88105119Lelio R Paula11/2016
26632^349171-19657105111Enzo Doria06/2013
2664(2^(6*58185+1)-5)/3105093Kevin Acres11/2013
2665(2^349111-5)/3105093Lelio R Paula12/2013
26662^348981-2797573105054Enzo Doria04/2016
26672^348869-6555105021Lelio R Paula01/2017
26685^150217+78104998Lelio R Paula11/2016
26692^348703-113005104971Enzo Doria06/2014
26712^348612-809104943Yves Minet05/2013
2670(73*10^104942-1)/9104943Robert Price01/2015
26722^348583-350407104934Enzo Doria06/2015
26732^348531-949104919Yves Minet05/2012
267420^80636-59104910Lelio R Paula12/2016
26752^348437+35104890Lelio R Paula09/2011
26762^348348+135104864Lelio R Paula09/2011
2678(2^348284+9)/25104843Lelio R Paula12/2013
267775^55914-74104843Norbert Schneider01/2015
26792^348268+255255104840Lelio R Paula01/2017
26805^149985-52104836Lelio R Paula11/2016
26812^348224-20249104826Enzo Doria06/2013
26822^348212-20105104823Enzo Doria06/2013
268320^80562+19104814Lelio R Paula12/2016
26842^348149-20053104804Enzo Doria06/2013
26852^348095-171104788Lelio R Paula09/2011
26862^348003-20377104760Enzo Doria06/2013
26872^347994-741104757Lelio R Paula12/2016
2688(13*2^347972-1)/282309104746Lelio R Paula03/2014
26892^347910-109937104732Enzo Doria04/2014
26905^149794+28104702Lelio R Paula11/2016
2691105^51800-2104698Lelio R Paula10/2017
2692(16^86939+3^86939)/19104684Robert Price06/2013
2693(15^89009-1)/14104682Paul Bourdelais03/2010
26942^347731-18609104678Enzo Doria05/2013
26954*6^134519+7104677Lelio R Paula11/2014
26962^347612-18545104642Enzo Doria05/2013
26976^134465+95104635Lelio R Paula11/2016
26982^347517-17301104614Enzo Doria05/2013
26993^219222-310104596Lelio R Paula11/2016
2700(15*2^347399-1)/13104578Lelio R Paula03/2014
27012^347372-17853104570Enzo Doria05/2013
27022^347314+99104552Lelio R Paula09/2011
27032^347300-22233104548Enzo Doria06/2013
27042^347287-19845104544Enzo Doria06/2013
2705(31*2^347254-1)/891104533Lelio R Paula03/2014
27065*F(250091)*(F(250091)-1)+1104532Serge Batalov04/2015
27077*2^347239-3104531Lelio R Paula09/2014
2708(3^219098-8)/514147439969104525Lelio R Paula12/2013
27095*3^219047+8104513Lelio R Paula09/2014
27102^347148-109073104502Enzo Doria04/2014
27112^347129-20145104497Enzo Doria06/2013
27122^346923-19585104435Enzo Doria05/2013
2713(11*2^346864-1)/175104416Lelio R Paula03/2014
27142^346854+346854^2+1104414Robert Price06/2014
27152^346834+11715104408Lelio R Paula04/2015
271679^55009+78104387Norbert Schneider02/2015
27173^218744+58104368Lelio R Paula11/2016
27182^346649+65104352Lelio R Paula09/2011
27192^346638-17265104349Enzo Doria05/2013
27212^346527-111817104316Enzo Doria05/2014
27206^134055+101104316Lelio R Paula11/2016
27226^134013+163104283Lelio R Paula11/2016
272318^83049-89104250Lelio R Paula01/2017
27242^346213+484049104221Enzo Doria04/2017
272518^83021-91104214Lelio R Paula01/2017
272610^104212+128779104213Patrick De Geest05/2016
272710^104212+237447104213Patrick De Geest05/2016
272810^104212+242139104213Patrick De Geest05/2016
272910^104212+269199104213Patrick De Geest05/2016
2730(10^104212-71)/1104212Serge Batalov12/2014
27312^346078+7695104180Lelio R Paula12/2016
27322^346055-19537104173Enzo Doria05/2013
2733(3*2^346057+1)/77104173Lelio R Paula12/2013
27342^346037-20125104168Enzo Doria06/2013
2735(34*10^104168-7)/9/13/551179104162Makoto Morimoto05/2016
27366^133854-17993104159Enzo Doria03/2013
27372^345990+1874239104154Enzo Doria06/2016
27382^345988-20373104153Enzo Doria06/2013
27393*5^148968+8104125Lelio R Paula11/2014
2740p(21253)#/2+8104113Robert Price01/2017
2741322^41507+41507^322104094Norbert Schneider12/2014
27426^133768-17423104092Enzo Doria03/2013
27432^345786-19557104092Enzo Doria05/2013
2744171^46606-2104072Lelio R Paula10/2017
27452^345704-149104068Lelio R Paula09/2011
27466^133704-17273104042Enzo Doria02/2013
2747(3*2^345590-1)/23104033Lelio R Paula03/2014
2748(19*2^345590+1)/33859104030Lelio R Paula12/2013
27492^345547+11104021Lelio R Paula09/2011
27502^345504+723104008Lelio R Paula09/2011


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: January, 21 2018 09:45 (Time in France)

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