PRP Records

Probable Primes Top 10000

(259919 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 ?
32512^355494-19901107015Enzo Doria06/2013
32522^355454-869688105107003Lelio R Paula01/2017
32532^355366+54615106976Lelio R Paula01/2017
3254(31*2^355346-1)/1563106969Lelio R Paula03/2014
32552^355275-19861106949Enzo Doria06/2013
3256(9179*2^355234-1)/1915106937Lelio R Paula05/2015
32574*10^106892-3106893Robert Price10/2015
3258(66^58741+1)/67106881Paul Bourdelais08/2017
32592^354946-3106850M. Frind & P. Underwood08/2002
32602^354873-18693106828Enzo Doria05/2013
32612^354828+4257106814Lelio R Paula01/2017
3262436^40459+40459^436106791Norbert Schneider03/2019
3263(21^80761+1)/22106783Paul Bourdelais03/2010
3264(115*10^106772-7)/9106774Robert Price02/2020
32652^354640-354640+1106758Robert Price10/2014
32662^354585+95106741Lelio R Paula10/2011
32672^354553+189106732Lelio R Paula10/2011
32682^354514-109031106720Enzo Doria04/2014
32692^354509-109465106718Enzo Doria04/2014
3270(15*2^354478-1)/26983106706Lelio R Paula03/2014
3271Phi(217618,10)/899798636917106693Makoto Kamada06/2019
327215^90710+28106684Lelio R Paula04/2017
32737^126237+34106683Lelio R Paula03/2017
32742^354385-115315106681Enzo Doria06/2015
32752^354327-19305106664Enzo Doria06/2013
3276(35*10^106649+1)/9106650Serge Batalov11/2010
327710^106636+97106637Lelio R Paula02/2017
327810^106636-22923106636Patrick De Geest03/2017
32792^354220-57106631Lelio R Paula10/2011
3280(29*10^106620-77)/3106621Robert Price02/2020
3281(746*10^106618+1)/9106620Robert Price03/2020
32822^354157-17041106612Enzo Doria05/2013
328312^98778+73106600Lelio R Paula02/2017
32842^354064+1870651106584Enzo Doria05/2016
32852^353992-57106563Lelio R Paula10/2011
32869*10^106559+59106560Robert Price01/2020
3287NSW(139160)106535Robert Price12/2018
3288(7*10^106516+113)/3106517Robert Price02/2018
32892^353832-1853849106515Enzo Doria09/2015
3290(7^126037-1)/6106513Paul Bourdelais09/2008
32912^353794-18453106503Enzo Doria05/2013
32922^353728+7695106483Lelio R Paula01/2017
32932^353672-303106466Yves Minet02/2012
32946^136811+101106460Lelio R Paula02/2017
32952^353641+1871981106457Enzo Doria05/2016
3296(8*10^106454-29)/3106455Robert Price07/2018
32972^353553+54615106431Lelio R Paula01/2017
32982^353544-18897106428Enzo Doria05/2013
32996^136729-133106396Lelio R Paula02/2017
33002^353418+1605106390Lelio R Paula01/2017
33012^353387+65106381Lelio R Paula10/2011
33022^353372+74311106376Enzo Doria04/2016
33032^353344-3693106368Yves Minet03/2017
33052^353277-20089106347Enzo Doria06/2013
33042^353275+72173106347Enzo Doria04/2016
33062^353268-17705106345Enzo Doria05/2013
33072^353267-19857106344Enzo Doria06/2013
3308(46*10^106343+143)/9106344Robert Price01/2019
3309222748^3+3^222748106278Anatoly F. Selevich12/2010
3310(9179*2^353019-1)/9106273Lelio R Paula05/2015
33112^353025+72257106272Enzo Doria04/2016
33132^352932-20345106244Enzo Doria06/2013
3312(2^353011-3)/745325861246794515484535106244Lelio R Paula12/2013
33142^352883-187106229Lelio R Paula10/2011
331520^81649-19^81649106228Jean-Louis Charton03/2011
3316(55*10^106222+377)/9106223Robert Price02/2019
33172^352814-131106208Lelio R Paula10/2011
33182^352752+73951106189Enzo Doria04/2016
33196^136434+5106167Lelio R Paula11/2014
33208*10^106157-13106158Robert Price08/2019
33217*5^151872-8106155Lelio R Paula11/2014
3322105^52520-2106153Lelio R Paula10/2017
33232^352601-1604809106144Enzo Doria05/2015
332412^98353-43106141Lelio R Paula02/2017
33252^352585-18901106139Enzo Doria05/2013
3326(2^352554-3)/193106128Lelio R Paula12/2013
33272^352540+15015106126Lelio R Paula01/2017
33282^352524-3149106121Yves Minet10/2014
33292^352486-1858781106109Enzo Doria04/2016
33302^352444+12705106097Lelio R Paula01/2017
3331(182*10^106083+43)/9106085Robert Price02/2020
33322^352228-18953106032Enzo Doria05/2013
33332^352107+1872533105995Enzo Doria05/2016
33342^352066-2591105983Yves Minet07/2014
33352^352030+715105972Lelio R Paula10/2011
33369*6^136176-5105967Lelio R Paula11/2014
333717099*2^351991+58329105965Paul Vanderveen12/2017
3338155^48377+2105962Lelio R Paula08/2013
33392^351865+1869707105922Enzo Doria05/2016
33402^351831+23105912Lelio R Paula10/2011
33419*2^351784-5105899Lelio R Paula09/2014
33422^351671-112387105864Enzo Doria06/2014
33432^351669-109501105863Enzo Doria04/2014
33442^351644+74731105856Enzo Doria04/2016
334513^95025-42105853Lelio R Paula12/2016
33462^351599+15015105842Lelio R Paula01/2017
334719^82763+90105834Lelio R Paula01/2017
3348(9179*2^351540-1)/221105826Lelio R Paula05/2015
334920^81329-51105812Lelio R Paula01/2017
3350(5*10^105811+211)/9105811Robert Price02/2018
33512^351483+28425105807Lelio R Paula01/2017
335215^89960+86105802Lelio R Paula02/2017
33532^351460-17289105801Enzo Doria05/2013
335419^82735+22105798Lelio R Paula01/2017
33552^351435-109077105793Enzo Doria04/2014
33562^351393+1089105780Lelio R Paula01/2017
33572^351364+72631105772Enzo Doria04/2016
33582^351305+1872467105754Enzo Doria05/2016
33593^221649+16105754Lelio R Paula11/2016
33608*3^221637-5105749Lelio R Paula09/2014
33612^351279-2780449105746Enzo Doria03/2016
336215^89903-26105735Lelio R Paula02/2017
33632^351213-73105726Lelio R Paula10/2011
33642^351192-4589105720Yves Minet07/2011
336520^81250-33105709Lelio R Paula12/2016
33662^351076-113159105685Enzo Doria07/2014
336793^53688-2105684Lelio R Paula09/2013
33682^351060-4559105680Yves Minet07/2011
3369((10^52836-1)*10000/9+5927)*10^52836+(10^52836-1)/9105676Hans Havermann08/2019
337011^101473-750105674Enzo Doria11/2012
33713*5^151181-8105672Lelio R Paula11/2014
337215^89831-34105650Lelio R Paula02/2017
337411^101448-360105648Enzo Doria08/2012
33733*7^125011+4105648Lelio R Paula11/2014
33752^350943-113269105645Enzo Doria07/2014
33762^350868-19725105622Enzo Doria06/2013
33772^350858-59291105619Enzo Doria10/2015
33782^350851+135105617Lelio R Paula10/2011
33792^350841-741105614Lelio R Paula01/2017
33803*10^105582+77105583Robert Price09/2018
33818*10^105571+3105572Robert Price08/2015
33822^350674-78557105564Jorge Menendez03/2018
33832*5^151026-3105563Lelio R Paula11/2014
3384(2^350702+5)/34264674063105562Lelio R Paula12/2013
33856^135647-5^135647105554Jean-Louis Charton02/2009
33863^221211+236105545Lelio R Paula11/2016
3387(32*10^105530-77)/9105531Robert Price06/2018
338810^105515+33105516Lelio R Paula11/2016
338910^105515-41033105515Patrick De Geest12/2016
3390(29*2^350473-1)/267927105499Lelio R Paula03/2014
339117^85732-72105489Lelio R Paula01/2017
33922^350307-110329105453Enzo Doria05/2014
33932^350253-20365105437Enzo Doria06/2013
3394(3*29^72089-1075)/4105423Curtis Bright05/2015
33952^350139-109009105403Enzo Doria04/2014
33963*5^150763+4105380Lelio R Paula11/2014
339712^97643+91105375Lelio R Paula02/2017
33986*5^150744-7105367Lelio R Paula11/2014
33992^349996-112169105360Enzo Doria06/2014
3400(418*10^105343+23)/9105345Robert Price02/2020
340111^101142-1080105329Enzo Doria12/2012
3402(68*10^105320-41)/9105321Robert Price10/2013
34033^220712-9934105307Enzo Doria05/2014
34047*10^105296+9105297Robert Price09/2015
34052^349739+1873373105282Enzo Doria06/2016
34067^124574+24105278Lelio R Paula11/2016
34072^349708-20957105273Enzo Doria06/2013
34082^349649-20469105255Enzo Doria06/2013
34092^349607-20109105243Enzo Doria06/2013
3410(85*10^105242+473)/9105243Robert Price01/2020
34112^349594-19085105239Enzo Doria05/2013
34122^349530+1874479105220Enzo Doria06/2016
3413(3^220528+8)/8081105215Lelio R Paula12/2013
34143^220464-112852105189Enzo Doria07/2014
34152^349419-17349105186Enzo Doria05/2013
34162^349400-2579105180Yves Minet07/2014
34178*5^150471+3105176Lelio R Paula11/2014
3418655^37342+37342^655105165Norbert Schneider08/2018
341913^94403+94105160Lelio R Paula12/2016
34202^349301-112309105151Enzo Doria06/2014
34219*2^349220+5105127Lelio R Paula09/2014
34227*3^220317+8105119Lelio R Paula09/2014
34237^124386+88105119Lelio R Paula11/2016
34242^349171-19657105111Enzo Doria06/2013
3425(2^(6*58185+1)-5)/3105093Kevin Acres11/2013
3426(2^349111-5)/3105093Lelio R Paula12/2013
3427675^37142+37142^675105087Norbert Schneider08/2018
34282^348981-2797573105054Enzo Doria04/2016
34292^348869-6555105021Lelio R Paula01/2017
34305^150217+78104998Lelio R Paula11/2016
3431(28*10^104972+149)/3104973Robert Price12/2019
34322^348703-113005104971Enzo Doria06/2014
34342^348612-809104943Yves Minet05/2013
3433(73*10^104942-1)/9104943Robert Price01/2015
34352^348583-350407104934Enzo Doria06/2015
34362^348531-949104919Yves Minet05/2012
343720^80636-59104910Lelio R Paula12/2016
34388*10^104893-13104894Robert Price08/2019
34392^348437+35104890Lelio R Paula09/2011
34402^348348+135104864Lelio R Paula09/2011
3441(2^348284+9)/25104843Lelio R Paula12/2013
344275^55914-74104843Norbert Schneider01/2015
34432^348268+255255104840Lelio R Paula01/2017
34445^149985-52104836Lelio R Paula11/2016
34452^348224-20249104826Enzo Doria06/2013
34462^348212-20105104823Enzo Doria06/2013
344720^80562+19104814Lelio R Paula12/2016
34482*10^104811-87104812Robert Price04/2018
34492^348149-20053104804Enzo Doria06/2013
34502^348095-171104788Lelio R Paula09/2011
34512^348003-20377104760Enzo Doria06/2013
34522^347994-741104757Lelio R Paula12/2016
3453(13*2^347972-1)/282309104746Lelio R Paula03/2014
34542^347910-109937104732Enzo Doria04/2014
34555^149794+28104702Lelio R Paula11/2016
3456105^51800-2104698Lelio R Paula10/2017
3457(16^86939+3^86939)/19104684Robert Price06/2013
3458(15^89009-1)/14104682Paul Bourdelais03/2010
34592^347731-18609104678Enzo Doria05/2013
34604*6^134519+7104677Lelio R Paula11/2014
34612^347612-18545104642Enzo Doria05/2013
34626^134465+95104635Lelio R Paula11/2016
34632^347517-17301104614Enzo Doria05/2013
34643^219222-310104596Lelio R Paula11/2016
3465(15*2^347399-1)/13104578Lelio R Paula03/2014
34662^347372-17853104570Enzo Doria05/2013
34672^347314+99104552Lelio R Paula09/2011
34682^347300-22233104548Enzo Doria06/2013
34692^347287-19845104544Enzo Doria06/2013
3470(31*2^347254-1)/891104533Lelio R Paula03/2014
34715*F(250091)*(F(250091)-1)+1104532Serge Batalov04/2015
34727*2^347239-3104531Lelio R Paula09/2014
3473(3^219098-8)/514147439969104525Lelio R Paula12/2013
34745*3^219047+8104513Lelio R Paula09/2014
34752^347148-109073104502Enzo Doria04/2014
34762^347129-20145104497Enzo Doria06/2013
34774*10^104461-57104462Robert Price10/2018
34782^346923-19585104435Enzo Doria05/2013
3479(11*2^346864-1)/175104416Lelio R Paula03/2014
34802^346854+346854^2+1104414Robert Price06/2014
34812^346834+11715104408Lelio R Paula04/2015
348279^55009+78104387Norbert Schneider02/2015
34833^218744+58104368Lelio R Paula11/2016
34849*10^104361+89104362Robert Price11/2019
34852^346649+65104352Lelio R Paula09/2011
34862^346638-17265104349Enzo Doria05/2013
34875*10^104326+77104327Robert Price12/2018
34892^346527-111817104316Enzo Doria05/2014
34886^134055+101104316Lelio R Paula11/2016
349092105!4+8104312Robert Price09/2019
34916^134013+163104283Lelio R Paula11/2016
349218^83049-89104250Lelio R Paula01/2017
34932^346213+484049104221Enzo Doria04/2017
349418^83021-91104214Lelio R Paula01/2017
349510^104212+128779104213Patrick De Geest05/2016
349610^104212+237447104213Patrick De Geest05/2016
349710^104212+242139104213Patrick De Geest05/2016
349810^104212+269199104213Patrick De Geest05/2016
3499(10^104212-71)/1104212Serge Batalov12/2014
350023678^23821-23821^23678104202Norbert Schneider01/2020


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: March, 29 2020 17:41 (Time in France)

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