PRP Records

Probable Primes Top 10000

(224926 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) !!!


Submit your PRPs


See the Top discoverers
See the Latest PRPs
Search by form



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 ?
2751(3*2^356506-1)/467107317Lelio R Paula03/2014
27522^356442-114713107300Enzo Doria04/2015
27532^356425+72257107295Enzo Doria04/2016
27542^356351-112237107273Enzo Doria06/2014
2756(6^137845-11)/5107264Paul Bourdelais11/2011
27552^356322+74539107264Enzo Doria04/2016
27572^356274+1874479107250Enzo Doria06/2016
275820^82422-93107234Lelio R Paula02/2017
27592^356157-20365107214Enzo Doria06/2013
27602^356129-18949107206Enzo Doria05/2013
27612^356100-109587107197Enzo Doria04/2014
2762(31*2^355970+1)/5107159Lelio R Paula03/2014
27632^355968-64875107158Lelio R Paula01/2017
27642^355952+1870321107153Enzo Doria05/2016
27652^355915-117107142Lelio R Paula11/2011
2766(19*2^355838-1)/15107119Lelio R Paula03/2014
27673^224495-8107112Lelio R Paula12/2013
27687^126691-44107067Lelio R Paula03/2017
27694^177830-8243107065Mike Oakes02/2011
27702^355524-21237107024Enzo Doria06/2013
2771(10223*2^355515+1)/4855107022Lelio R Paula07/2014
27722^355494-19901107015Enzo Doria06/2013
27732^355454-869688105107003Lelio R Paula01/2017
27742^355366+54615106976Lelio R Paula01/2017
2775(31*2^355346-1)/1563106969Lelio R Paula03/2014
27762^355275-19861106949Enzo Doria06/2013
2777(9179*2^355234-1)/1915106937Lelio R Paula05/2015
27784*10^106892-3106893Robert Price10/2015
2779(66^58741+1)/67106881Paul Bourdelais08/2017
27802^354946-3106850M. Frind & P. Underwood08/2002
27812^354873-18693106828Enzo Doria05/2013
27822^354828+4257106814Lelio R Paula01/2017
2783(21^80761+1)/22106783Paul Bourdelais03/2010
27842^354640-354640+1106758Robert Price10/2014
27852^354585+95106741Lelio R Paula10/2011
27862^354553+189106732Lelio R Paula10/2011
27872^354514-109031106720Enzo Doria04/2014
27882^354509-109465106718Enzo Doria04/2014
2789(15*2^354478-1)/26983106706Lelio R Paula03/2014
279015^90710+28106684Lelio R Paula04/2017
27917^126237+34106683Lelio R Paula03/2017
27922^354385-115315106681Enzo Doria06/2015
27932^354327-19305106664Enzo Doria06/2013
2794(35*10^106649+1)/9106650Serge Batalov11/2010
279510^106636+97106637Lelio R Paula02/2017
279610^106636-22923106636Patrick De Geest03/2017
27972^354220-57106631Lelio R Paula10/2011
27982^354157-17041106612Enzo Doria05/2013
279912^98778+73106600Lelio R Paula02/2017
28002^354064+1870651106584Enzo Doria05/2016
28012^353992-57106563Lelio R Paula10/2011
2802(7*10^106516+113)/3106517Robert Price02/2018
28032^353832-1853849106515Enzo Doria09/2015
2804(7^126037-1)/6106513Paul Bourdelais09/2008
28052^353794-18453106503Enzo Doria05/2013
28062^353728+7695106483Lelio R Paula01/2017
28072^353672-303106466Yves Minet02/2012
28086^136811+101106460Lelio R Paula02/2017
28092^353641+1871981106457Enzo Doria05/2016
2810(8*10^106454-29)/3106455Robert Price07/2018
28112^353553+54615106431Lelio R Paula01/2017
28122^353544-18897106428Enzo Doria05/2013
28136^136729-133106396Lelio R Paula02/2017
28142^353418+1605106390Lelio R Paula01/2017
28152^353387+65106381Lelio R Paula10/2011
28162^353372+74311106376Enzo Doria04/2016
28172^353344-3693106368Yves Minet03/2017
28182^353277-20089106347Enzo Doria06/2013
28192^353275+72173106347Enzo Doria04/2016
28202^353268-17705106345Enzo Doria05/2013
28212^353267-19857106344Enzo Doria06/2013
2822222748^3+3^222748106278Anatoly F. Selevich12/2010
2823(9179*2^353019-1)/9106273Lelio R Paula05/2015
28242^353025+72257106272Enzo Doria04/2016
28262^352932-20345106244Enzo Doria06/2013
2825(2^353011-3)/745325861246794515484535106244Lelio R Paula12/2013
28272^352883-187106229Lelio R Paula10/2011
282820^81649-19^81649106228Jean-Louis Charton03/2011
28292^352814-131106208Lelio R Paula10/2011
28302^352752+73951106189Enzo Doria04/2016
28316^136434+5106167Lelio R Paula11/2014
28327*5^151872-8106155Lelio R Paula11/2014
2833105^52520-2106153Lelio R Paula10/2017
28342^352601-1604809106144Enzo Doria05/2015
283512^98353-43106141Lelio R Paula02/2017
28362^352585-18901106139Enzo Doria05/2013
2837(2^352554-3)/193106128Lelio R Paula12/2013
28382^352540+15015106126Lelio R Paula01/2017
28392^352524-3149106121Yves Minet10/2014
28402^352486-1858781106109Enzo Doria04/2016
28412^352444+12705106097Lelio R Paula01/2017
28422^352228-18953106032Enzo Doria05/2013
28432^352107+1872533105995Enzo Doria05/2016
28442^352066-2591105983Yves Minet07/2014
28452^352030+715105972Lelio R Paula10/2011
28469*6^136176-5105967Lelio R Paula11/2014
284717099*2^351991+58329105965Paul Vanderveen12/2017
2848155^48377+2105962Lelio R Paula08/2013
28492^351865+1869707105922Enzo Doria05/2016
28502^351831+23105912Lelio R Paula10/2011
28519*2^351784-5105899Lelio R Paula09/2014
28522^351671-112387105864Enzo Doria06/2014
28532^351669-109501105863Enzo Doria04/2014
28542^351644+74731105856Enzo Doria04/2016
285513^95025-42105853Lelio R Paula12/2016
28562^351599+15015105842Lelio R Paula01/2017
285719^82763+90105834Lelio R Paula01/2017
2858(9179*2^351540-1)/221105826Lelio R Paula05/2015
285920^81329-51105812Lelio R Paula01/2017
2860(5*10^105811+211)/9105811Robert Price02/2018
28612^351483+28425105807Lelio R Paula01/2017
286215^89960+86105802Lelio R Paula02/2017
28632^351460-17289105801Enzo Doria05/2013
286419^82735+22105798Lelio R Paula01/2017
28652^351435-109077105793Enzo Doria04/2014
28662^351393+1089105780Lelio R Paula01/2017
28672^351364+72631105772Enzo Doria04/2016
28692^351305+1872467105754Enzo Doria05/2016
28683^221649+16105754Lelio R Paula11/2016
28708*3^221637-5105749Lelio R Paula09/2014
28712^351279-2780449105746Enzo Doria03/2016
287215^89903-26105735Lelio R Paula02/2017
28732^351213-73105726Lelio R Paula10/2011
28742^351192-4589105720Yves Minet07/2011
287520^81250-33105709Lelio R Paula12/2016
28762^351076-113159105685Enzo Doria07/2014
287793^53688-2105684Lelio R Paula09/2013
28782^351060-4559105680Yves Minet07/2011
287911^101473-750105674Enzo Doria11/2012
28803*5^151181-8105672Lelio R Paula11/2014
288115^89831-34105650Lelio R Paula02/2017
288311^101448-360105648Enzo Doria08/2012
28823*7^125011+4105648Lelio R Paula11/2014
28842^350943-113269105645Enzo Doria07/2014
28852^350868-19725105622Enzo Doria06/2013
28862^350858-59291105619Enzo Doria10/2015
28872^350851+135105617Lelio R Paula10/2011
28882^350841-741105614Lelio R Paula01/2017
28893*10^105582+77105583Robert Price09/2018
28908*10^105571+3105572Robert Price08/2015
28912^350674-78557105564Jorge Menendez03/2018
28922*5^151026-3105563Lelio R Paula11/2014
2893(2^350702+5)/34264674063105562Lelio R Paula12/2013
28946^135647-5^135647105554Jean-Louis Charton02/2009
28953^221211+236105545Lelio R Paula11/2016
2896(32*10^105530-77)/9105531Robert Price06/2018
289710^105515+33105516Lelio R Paula11/2016
289810^105515-41033105515Patrick De Geest12/2016
2899(29*2^350473-1)/267927105499Lelio R Paula03/2014
290017^85732-72105489Lelio R Paula01/2017
29012^350307-110329105453Enzo Doria05/2014
29022^350253-20365105437Enzo Doria06/2013
2903(3*29^72089-1075)/4105423Curtis Bright05/2015
29042^350139-109009105403Enzo Doria04/2014
29053*5^150763+4105380Lelio R Paula11/2014
290612^97643+91105375Lelio R Paula02/2017
29076*5^150744-7105367Lelio R Paula11/2014
29082^349996-112169105360Enzo Doria06/2014
290911^101142-1080105329Enzo Doria12/2012
2910(68*10^105320-41)/9105321Robert Price10/2013
29113^220712-9934105307Enzo Doria05/2014
29127*10^105296+9105297Robert Price09/2015
29132^349739+1873373105282Enzo Doria06/2016
29147^124574+24105278Lelio R Paula11/2016
29152^349708-20957105273Enzo Doria06/2013
29162^349649-20469105255Enzo Doria06/2013
29172^349607-20109105243Enzo Doria06/2013
29182^349594-19085105239Enzo Doria05/2013
29192^349530+1874479105220Enzo Doria06/2016
2920(3^220528+8)/8081105215Lelio R Paula12/2013
29213^220464-112852105189Enzo Doria07/2014
29222^349419-17349105186Enzo Doria05/2013
29232^349400-2579105180Yves Minet07/2014
29248*5^150471+3105176Lelio R Paula11/2014
2925655^37342+37342^655105165Norbert Schneider08/2018
292613^94403+94105160Lelio R Paula12/2016
29272^349301-112309105151Enzo Doria06/2014
29289*2^349220+5105127Lelio R Paula09/2014
29297*3^220317+8105119Lelio R Paula09/2014
29307^124386+88105119Lelio R Paula11/2016
29312^349171-19657105111Enzo Doria06/2013
2932(2^(6*58185+1)-5)/3105093Kevin Acres11/2013
2933(2^349111-5)/3105093Lelio R Paula12/2013
2934675^37142+37142^675105087Norbert Schneider08/2018
29352^348981-2797573105054Enzo Doria04/2016
29362^348869-6555105021Lelio R Paula01/2017
29375^150217+78104998Lelio R Paula11/2016
29382^348703-113005104971Enzo Doria06/2014
29402^348612-809104943Yves Minet05/2013
2939(73*10^104942-1)/9104943Robert Price01/2015
29412^348583-350407104934Enzo Doria06/2015
29422^348531-949104919Yves Minet05/2012
294320^80636-59104910Lelio R Paula12/2016
29442^348437+35104890Lelio R Paula09/2011
29452^348348+135104864Lelio R Paula09/2011
2947(2^348284+9)/25104843Lelio R Paula12/2013
294675^55914-74104843Norbert Schneider01/2015
29482^348268+255255104840Lelio R Paula01/2017
29495^149985-52104836Lelio R Paula11/2016
29502^348224-20249104826Enzo Doria06/2013
29512^348212-20105104823Enzo Doria06/2013
295220^80562+19104814Lelio R Paula12/2016
29532*10^104811-87104812Robert Price04/2018
29542^348149-20053104804Enzo Doria06/2013
29552^348095-171104788Lelio R Paula09/2011
29562^348003-20377104760Enzo Doria06/2013
29572^347994-741104757Lelio R Paula12/2016
2958(13*2^347972-1)/282309104746Lelio R Paula03/2014
29592^347910-109937104732Enzo Doria04/2014
29605^149794+28104702Lelio R Paula11/2016
2961105^51800-2104698Lelio R Paula10/2017
2962(16^86939+3^86939)/19104684Robert Price06/2013
2963(15^89009-1)/14104682Paul Bourdelais03/2010
29642^347731-18609104678Enzo Doria05/2013
29654*6^134519+7104677Lelio R Paula11/2014
29662^347612-18545104642Enzo Doria05/2013
29676^134465+95104635Lelio R Paula11/2016
29682^347517-17301104614Enzo Doria05/2013
29693^219222-310104596Lelio R Paula11/2016
2970(15*2^347399-1)/13104578Lelio R Paula03/2014
29712^347372-17853104570Enzo Doria05/2013
29722^347314+99104552Lelio R Paula09/2011
29732^347300-22233104548Enzo Doria06/2013
29742^347287-19845104544Enzo Doria06/2013
2975(31*2^347254-1)/891104533Lelio R Paula03/2014
29765*F(250091)*(F(250091)-1)+1104532Serge Batalov04/2015
29777*2^347239-3104531Lelio R Paula09/2014
2978(3^219098-8)/514147439969104525Lelio R Paula12/2013
29795*3^219047+8104513Lelio R Paula09/2014
29802^347148-109073104502Enzo Doria04/2014
29812^347129-20145104497Enzo Doria06/2013
29824*10^104461-57104462Robert Price10/2018
29832^346923-19585104435Enzo Doria05/2013
2984(11*2^346864-1)/175104416Lelio R Paula03/2014
29852^346854+346854^2+1104414Robert Price06/2014
29862^346834+11715104408Lelio R Paula04/2015
298779^55009+78104387Norbert Schneider02/2015
29883^218744+58104368Lelio R Paula11/2016
29892^346649+65104352Lelio R Paula09/2011
29902^346638-17265104349Enzo Doria05/2013
29922^346527-111817104316Enzo Doria05/2014
29916^134055+101104316Lelio R Paula11/2016
29936^134013+163104283Lelio R Paula11/2016
299418^83049-89104250Lelio R Paula01/2017
29952^346213+484049104221Enzo Doria04/2017
299618^83021-91104214Lelio R Paula01/2017
299710^104212+128779104213Patrick De Geest05/2016
299810^104212+237447104213Patrick De Geest05/2016
299910^104212+242139104213Patrick De Geest05/2016
300010^104212+269199104213Patrick De Geest05/2016


Find by discoverer :


Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: October, 18 2018 22:22 (Time in France)

Go back
Valid XHTML 1.0!    Valid CSS!