PRP Records

Probable Primes Top 10000

(202632 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 ?
250110^107409+37107410Lelio R Paula02/2017
250210^107409-329633107409Patrick De Geest03/2017
25032^356787-109027107404Enzo Doria04/2014
2504(2^356767+78557)/5107397Lelio R Paula12/2013
25055^153622-42107378Lelio R Paula02/2017
25062^356699-97305107378Lelio R Paula03/2017
25072^356654+85107364Lelio R Paula11/2011
25082^356641-19921107360Enzo Doria06/2013
25092^356623-465107355Lelio R Paula03/2017
251019^83945-92107345Lelio R Paula02/2017
251110^107334+28149107335Patrick De Geest03/2017
251210^107334-83107334Lelio R Paula02/2017
25132^356518+885107323Lelio R Paula03/2017
2514(3*2^356506-1)/467107317Lelio R Paula03/2014
25152^356442-114713107300Enzo Doria04/2015
25162^356425+72257107295Enzo Doria04/2016
25172^356351-112237107273Enzo Doria06/2014
2518(6^137845-11)/5107264Paul Bourdelais11/2011
25192^356322+74539107264Enzo Doria04/2016
25202^356274+1874479107250Enzo Doria06/2016
252120^82422-93107234Lelio R Paula02/2017
25222^356157-20365107214Enzo Doria06/2013
25232^356129-18949107206Enzo Doria05/2013
25242^356100-109587107197Enzo Doria04/2014
2525(31*2^355970+1)/5107159Lelio R Paula03/2014
25262^355968-64875107158Lelio R Paula01/2017
25272^355952+1870321107153Enzo Doria05/2016
25282^355915-117107142Lelio R Paula11/2011
2529(19*2^355838-1)/15107119Lelio R Paula03/2014
25303^224495-8107112Lelio R Paula12/2013
25317^126691-44107067Lelio R Paula03/2017
25324^177830-8243107065Mike Oakes02/2011
25332^355524-21237107024Enzo Doria06/2013
2534(10223*2^355515+1)/4855107022Lelio R Paula07/2014
25352^355494-19901107015Enzo Doria06/2013
25362^355454-869688105107003Lelio R Paula01/2017
25372^355366+54615106976Lelio R Paula01/2017
2538(31*2^355346-1)/1563106969Lelio R Paula03/2014
25392^355275-19861106949Enzo Doria06/2013
2540(9179*2^355234-1)/1915106937Lelio R Paula05/2015
25414*10^106892-3106893Robert Price10/2015
2542(66^58741+1)/67106881Paul Bourdelais08/2017
25432^354946-3106850M. Frind & P. Underwood08/2002
25442^354873-18693106828Enzo Doria05/2013
25452^354828+4257106814Lelio R Paula01/2017
2546(21^80761+1)/22106783Paul Bourdelais03/2010
25472^354640-354640+1106758Robert Price10/2014
25482^354585+95106741Lelio R Paula10/2011
25492^354553+189106732Lelio R Paula10/2011
25502^354514-109031106720Enzo Doria04/2014
25512^354509-109465106718Enzo Doria04/2014
2552(15*2^354478-1)/26983106706Lelio R Paula03/2014
255315^90710+28106684Lelio R Paula04/2017
25547^126237+34106683Lelio R Paula03/2017
25552^354385-115315106681Enzo Doria06/2015
25562^354327-19305106664Enzo Doria06/2013
2557(35*10^106649+1)/9106650Serge Batalov11/2010
255810^106636+97106637Lelio R Paula02/2017
255910^106636-22923106636Patrick De Geest03/2017
25602^354220-57106631Lelio R Paula10/2011
25612^354157-17041106612Enzo Doria05/2013
256212^98778+73106600Lelio R Paula02/2017
25632^354064+1870651106584Enzo Doria05/2016
25642^353992-57106563Lelio R Paula10/2011
25652^353832-1853849106515Enzo Doria09/2015
2566(7^126037-1)/6106513Paul Bourdelais09/2008
25672^353794-18453106503Enzo Doria05/2013
25682^353728+7695106483Lelio R Paula01/2017
25692^353672-303106466Yves Minet02/2012
25706^136811+101106460Lelio R Paula02/2017
25712^353641+1871981106457Enzo Doria05/2016
25722^353553+54615106431Lelio R Paula01/2017
25732^353544-18897106428Enzo Doria05/2013
25746^136729-133106396Lelio R Paula02/2017
25752^353418+1605106390Lelio R Paula01/2017
25762^353387+65106381Lelio R Paula10/2011
25772^353372+74311106376Enzo Doria04/2016
25782^353344-3693106368Yves Minet03/2017
25792^353277-20089106347Enzo Doria06/2013
25802^353275+72173106347Enzo Doria04/2016
25812^353268-17705106345Enzo Doria05/2013
25822^353267-19857106344Enzo Doria06/2013
2583222748^3+3^222748106278Anatoly F. Selevich12/2010
2584(9179*2^353019-1)/9106273Lelio R Paula05/2015
25852^353025+72257106272Enzo Doria04/2016
25872^352932-20345106244Enzo Doria06/2013
2586(2^353011-3)/745325861246794515484535106244Lelio R Paula12/2013
25882^352883-187106229Lelio R Paula10/2011
258920^81649-19^81649106228Jean-Louis Charton03/2011
25902^352814-131106208Lelio R Paula10/2011
25912^352752+73951106189Enzo Doria04/2016
25926^136434+5106167Lelio R Paula11/2014
25937*5^151872-8106155Lelio R Paula11/2014
2594105^52520-2106153Lelio R Paula10/2017
25952^352601-1604809106144Enzo Doria05/2015
259612^98353-43106141Lelio R Paula02/2017
25972^352585-18901106139Enzo Doria05/2013
2598(2^352554-3)/193106128Lelio R Paula12/2013
25992^352540+15015106126Lelio R Paula01/2017
26002^352524-3149106121Yves Minet10/2014
26012^352486-1858781106109Enzo Doria04/2016
26022^352444+12705106097Lelio R Paula01/2017
26032^352228-18953106032Enzo Doria05/2013
26042^352107+1872533105995Enzo Doria05/2016
26052^352066-2591105983Yves Minet07/2014
26062^352030+715105972Lelio R Paula10/2011
26079*6^136176-5105967Lelio R Paula11/2014
260817099*2^351991+58329105965Paul Vanderveen12/2017
2609155^48377+2105962Lelio R Paula08/2013
26102^351865+1869707105922Enzo Doria05/2016
26112^351831+23105912Lelio R Paula10/2011
26129*2^351784-5105899Lelio R Paula09/2014
26132^351671-112387105864Enzo Doria06/2014
26142^351669-109501105863Enzo Doria04/2014
26152^351644+74731105856Enzo Doria04/2016
261613^95025-42105853Lelio R Paula12/2016
26172^351599+15015105842Lelio R Paula01/2017
261819^82763+90105834Lelio R Paula01/2017
2619(9179*2^351540-1)/221105826Lelio R Paula05/2015
262020^81329-51105812Lelio R Paula01/2017
2621(5*10^105811+211)/9105811Robert Price02/2018
26222^351483+28425105807Lelio R Paula01/2017
262315^89960+86105802Lelio R Paula02/2017
26242^351460-17289105801Enzo Doria05/2013
262519^82735+22105798Lelio R Paula01/2017
26262^351435-109077105793Enzo Doria04/2014
26272^351393+1089105780Lelio R Paula01/2017
26282^351364+72631105772Enzo Doria04/2016
26292^351305+1872467105754Enzo Doria05/2016
26303^221649+16105754Lelio R Paula11/2016
26318*3^221637-5105749Lelio R Paula09/2014
26322^351279-2780449105746Enzo Doria03/2016
263315^89903-26105735Lelio R Paula02/2017
26342^351213-73105726Lelio R Paula10/2011
26352^351192-4589105720Yves Minet07/2011
263620^81250-33105709Lelio R Paula12/2016
26372^351076-113159105685Enzo Doria07/2014
263893^53688-2105684Lelio R Paula09/2013
26392^351060-4559105680Yves Minet07/2011
264011^101473-750105674Enzo Doria11/2012
26413*5^151181-8105672Lelio R Paula11/2014
264215^89831-34105650Lelio R Paula02/2017
264411^101448-360105648Enzo Doria08/2012
26433*7^125011+4105648Lelio R Paula11/2014
26452^350943-113269105645Enzo Doria07/2014
26462^350868-19725105622Enzo Doria06/2013
26472^350858-59291105619Enzo Doria10/2015
26482^350851+135105617Lelio R Paula10/2011
26492^350841-741105614Lelio R Paula01/2017
26508*10^105571+3105572Robert Price08/2015
26512*5^151026-3105563Lelio R Paula11/2014
2652(2^350702+5)/34264674063105562Lelio R Paula12/2013
26536^135647-5^135647105554Jean-Louis Charton02/2009
26543^221211+236105545Lelio R Paula11/2016
265510^105515+33105516Lelio R Paula11/2016
265610^105515-41033105515Patrick De Geest12/2016
2657(29*2^350473-1)/267927105499Lelio R Paula03/2014
265817^85732-72105489Lelio R Paula01/2017
26592^350307-110329105453Enzo Doria05/2014
26602^350253-20365105437Enzo Doria06/2013
2661(3*29^72089-1075)/4105423Curtis Bright05/2015
26622^350139-109009105403Enzo Doria04/2014
26633*5^150763+4105380Lelio R Paula11/2014
266412^97643+91105375Lelio R Paula02/2017
26656*5^150744-7105367Lelio R Paula11/2014
26662^349996-112169105360Enzo Doria06/2014
266711^101142-1080105329Enzo Doria12/2012
2668(68*10^105320-41)/9105321Robert Price10/2013
26693^220712-9934105307Enzo Doria05/2014
26707*10^105296+9105297Robert Price09/2015
26712^349739+1873373105282Enzo Doria06/2016
26727^124574+24105278Lelio R Paula11/2016
26732^349708-20957105273Enzo Doria06/2013
26742^349649-20469105255Enzo Doria06/2013
26752^349607-20109105243Enzo Doria06/2013
26762^349594-19085105239Enzo Doria05/2013
26772^349530+1874479105220Enzo Doria06/2016
2678(3^220528+8)/8081105215Lelio R Paula12/2013
26793^220464-112852105189Enzo Doria07/2014
26802^349419-17349105186Enzo Doria05/2013
26812^349400-2579105180Yves Minet07/2014
26828*5^150471+3105176Lelio R Paula11/2014
268313^94403+94105160Lelio R Paula12/2016
26842^349301-112309105151Enzo Doria06/2014
26859*2^349220+5105127Lelio R Paula09/2014
26867*3^220317+8105119Lelio R Paula09/2014
26877^124386+88105119Lelio R Paula11/2016
26882^349171-19657105111Enzo Doria06/2013
2689(2^(6*58185+1)-5)/3105093Kevin Acres11/2013
2690(2^349111-5)/3105093Lelio R Paula12/2013
26912^348981-2797573105054Enzo Doria04/2016
26922^348869-6555105021Lelio R Paula01/2017
26935^150217+78104998Lelio R Paula11/2016
26942^348703-113005104971Enzo Doria06/2014
26962^348612-809104943Yves Minet05/2013
2695(73*10^104942-1)/9104943Robert Price01/2015
26972^348583-350407104934Enzo Doria06/2015
26982^348531-949104919Yves Minet05/2012
269920^80636-59104910Lelio R Paula12/2016
27002^348437+35104890Lelio R Paula09/2011
27012^348348+135104864Lelio R Paula09/2011
2702(2^348284+9)/25104843Lelio R Paula12/2013
270375^55914-74104843Norbert Schneider01/2015
27042^348268+255255104840Lelio R Paula01/2017
27055^149985-52104836Lelio R Paula11/2016
27062^348224-20249104826Enzo Doria06/2013
27072^348212-20105104823Enzo Doria06/2013
270820^80562+19104814Lelio R Paula12/2016
27092^348149-20053104804Enzo Doria06/2013
27102^348095-171104788Lelio R Paula09/2011
27112^348003-20377104760Enzo Doria06/2013
27122^347994-741104757Lelio R Paula12/2016
2713(13*2^347972-1)/282309104746Lelio R Paula03/2014
27142^347910-109937104732Enzo Doria04/2014
27155^149794+28104702Lelio R Paula11/2016
2716105^51800-2104698Lelio R Paula10/2017
2717(16^86939+3^86939)/19104684Robert Price06/2013
2718(15^89009-1)/14104682Paul Bourdelais03/2010
27192^347731-18609104678Enzo Doria05/2013
27204*6^134519+7104677Lelio R Paula11/2014
27212^347612-18545104642Enzo Doria05/2013
27226^134465+95104635Lelio R Paula11/2016
27232^347517-17301104614Enzo Doria05/2013
27243^219222-310104596Lelio R Paula11/2016
2725(15*2^347399-1)/13104578Lelio R Paula03/2014
27262^347372-17853104570Enzo Doria05/2013
27272^347314+99104552Lelio R Paula09/2011
27282^347300-22233104548Enzo Doria06/2013
27292^347287-19845104544Enzo Doria06/2013
2730(31*2^347254-1)/891104533Lelio R Paula03/2014
27315*F(250091)*(F(250091)-1)+1104532Serge Batalov04/2015
27327*2^347239-3104531Lelio R Paula09/2014
2733(3^219098-8)/514147439969104525Lelio R Paula12/2013
27345*3^219047+8104513Lelio R Paula09/2014
27352^347148-109073104502Enzo Doria04/2014
27362^347129-20145104497Enzo Doria06/2013
27372^346923-19585104435Enzo Doria05/2013
2738(11*2^346864-1)/175104416Lelio R Paula03/2014
27392^346854+346854^2+1104414Robert Price06/2014
27402^346834+11715104408Lelio R Paula04/2015
274179^55009+78104387Norbert Schneider02/2015
27423^218744+58104368Lelio R Paula11/2016
27432^346649+65104352Lelio R Paula09/2011
27442^346638-17265104349Enzo Doria05/2013
27462^346527-111817104316Enzo Doria05/2014
27456^134055+101104316Lelio R Paula11/2016
27476^134013+163104283Lelio R Paula11/2016
274818^83049-89104250Lelio R Paula01/2017
27492^346213+484049104221Enzo Doria04/2017
275018^83021-91104214Lelio R Paula01/2017


Find by discoverer :


Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: February, 20 2018 10:36 (Time in France)

Go back
Valid XHTML 1.0!    Valid CSS!