PRP Records

Probable Primes Top 10000

(172742 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 ?
225111^103488-4170107772Enzo Doria12/2012
22522^357911-20089107742Enzo Doria06/2013
22532^357885+12857107735Yves Minet07/2010
22547^127473+40107728Lelio R Paula03/2017
22555*2^357850+9107725Lelio R Paula09/2014
22562^357786-291191107705Enzo Doria06/2015
225718^85798-23107700Lelio R Paula04/2017
22582^357688-1854269107675Enzo Doria09/2015
22592^357671-112225107670Enzo Doria06/2014
22602^357618-21005107654Enzo Doria06/2013
22612^357615-17505107653Enzo Doria05/2013
2262(30^72871-1)/29107638Robert Price12/2011
22632^357521+1870217107625Enzo Doria05/2016
22642^357477-1203107612Lelio R Paula03/2017
22655^153894-18107568Lelio R Paula02/2017
22662^357324-69059107566Enzo Doria11/2015
22672^357283-869688105107553Lelio R Paula01/2017
22682^357280-16805107552Enzo Doria05/2013
226910^107547+481719107548Patrick De Geest03/2017
227010^107547-47107547Lelio R Paula02/2017
227117^87396-32107537Lelio R Paula04/2017
22722^357081+107107493Lelio R Paula12/2011
22733^225274+64107484Lelio R Paula03/2017
227418^85619-95107476Lelio R Paula04/2017
22753^225248-130107471Lelio R Paula03/2017
2276(5*2^356961+1)/143107455Lelio R Paula03/2014
22772^356935-18085107449Enzo Doria05/2013
227810^107409+37107410Lelio R Paula02/2017
227910^107409-329633107409Patrick De Geest03/2017
22802^356787-109027107404Enzo Doria04/2014
2281(2^356767+78557)/5107397Lelio R Paula12/2013
22825^153622-42107378Lelio R Paula02/2017
22832^356699-97305107378Lelio R Paula03/2017
22842^356654+85107364Lelio R Paula11/2011
22852^356641-19921107360Enzo Doria06/2013
22862^356623-465107355Lelio R Paula03/2017
228719^83945-92107345Lelio R Paula02/2017
228810^107334+28149107335Patrick De Geest03/2017
228910^107334-83107334Lelio R Paula02/2017
22902^356518+885107323Lelio R Paula03/2017
2291(3*2^356506-1)/467107317Lelio R Paula03/2014
22922^356442-114713107300Enzo Doria04/2015
22932^356425+72257107295Enzo Doria04/2016
22942^356351-112237107273Enzo Doria06/2014
2295(6^137845-11)/5107264Paul Bourdelais11/2011
22962^356322+74539107264Enzo Doria04/2016
22972^356274+1874479107250Enzo Doria06/2016
229820^82422-93107234Lelio R Paula02/2017
22992^356157-20365107214Enzo Doria06/2013
23002^356129-18949107206Enzo Doria05/2013
23012^356100-109587107197Enzo Doria04/2014
2302(31*2^355970+1)/5107159Lelio R Paula03/2014
23032^355968-64875107158Lelio R Paula01/2017
23042^355952+1870321107153Enzo Doria05/2016
23052^355915-117107142Lelio R Paula11/2011
2306(19*2^355838-1)/15107119Lelio R Paula03/2014
23073^224495-8107112Lelio R Paula12/2013
23087^126691-44107067Lelio R Paula03/2017
23094^177830-8243107065Mike Oakes02/2011
23102^355524-21237107024Enzo Doria06/2013
2311(10223*2^355515+1)/4855107022Lelio R Paula07/2014
23122^355494-19901107015Enzo Doria06/2013
23132^355454-869688105107003Lelio R Paula01/2017
23142^355366+54615106976Lelio R Paula01/2017
2315(31*2^355346-1)/1563106969Lelio R Paula03/2014
23162^355275-19861106949Enzo Doria06/2013
2317(9179*2^355234-1)/1915106937Lelio R Paula05/2015
23184*10^106892-3106893Robert Price10/2015
23192^354946-3106850M. Frind & P. Underwood08/2002
23202^354873-18693106828Enzo Doria05/2013
23212^354828+4257106814Lelio R Paula01/2017
2322(21^80761+1)/22106783Paul Bourdelais03/2010
23232^354640-354640+1106758Robert Price10/2014
23242^354585+95106741Lelio R Paula10/2011
23252^354553+189106732Lelio R Paula10/2011
23262^354514-109031106720Enzo Doria04/2014
23272^354509-109465106718Enzo Doria04/2014
2328(15*2^354478-1)/26983106706Lelio R Paula03/2014
23297^126237+34106683Lelio R Paula03/2017
23302^354385-115315106681Enzo Doria06/2015
23312^354327-19305106664Enzo Doria06/2013
2332(35*10^106649+1)/9106650Serge Batalov11/2010
233310^106636+97106637Lelio R Paula02/2017
233410^106636-22923106636Patrick De Geest03/2017
23352^354220-57106631Lelio R Paula10/2011
23362^354157-17041106612Enzo Doria05/2013
233712^98778+73106600Lelio R Paula02/2017
23382^354064+1870651106584Enzo Doria05/2016
23392^353992-57106563Lelio R Paula10/2011
23402^353832-1853849106515Enzo Doria09/2015
2341(7^126037-1)/6106513Paul Bourdelais09/2008
23422^353794-18453106503Enzo Doria05/2013
23432^353728+7695106483Lelio R Paula01/2017
23442^353672-303106466Yves Minet02/2012
23456^136811+101106460Lelio R Paula02/2017
23462^353641+1871981106457Enzo Doria05/2016
23472^353553+54615106431Lelio R Paula01/2017
23482^353544-18897106428Enzo Doria05/2013
23496^136729-133106396Lelio R Paula02/2017
23502^353418+1605106390Lelio R Paula01/2017
23512^353387+65106381Lelio R Paula10/2011
23522^353372+74311106376Enzo Doria04/2016
23532^353344-3693106368Yves Minet03/2017
23552^353277-20089106347Enzo Doria06/2013
23542^353275+72173106347Enzo Doria04/2016
23562^353268-17705106345Enzo Doria05/2013
23572^353267-19857106344Enzo Doria06/2013
2358222748^3+3^222748106278Anatoly F. Selevich12/2010
2359(9179*2^353019-1)/9106273Lelio R Paula05/2015
23602^353025+72257106272Enzo Doria04/2016
23612^352932-20345106244Enzo Doria06/2013
2362(2^353011-3)/745325861246794515484535106244Lelio R Paula12/2013
23632^352883-187106229Lelio R Paula10/2011
236420^81649-19^81649106228Jean-Louis Charton03/2011
23652^352814-131106208Lelio R Paula10/2011
23662^352752+73951106189Enzo Doria04/2016
23676^136434+5106167Lelio R Paula11/2014
23687*5^151872-8106155Lelio R Paula11/2014
23692^352601-1604809106144Enzo Doria05/2015
237012^98353-43106141Lelio R Paula02/2017
23712^352585-18901106139Enzo Doria05/2013
2372(2^352554-3)/193106128Lelio R Paula12/2013
23732^352540+15015106126Lelio R Paula01/2017
23742^352524-3149106121Yves Minet10/2014
23752^352486-1858781106109Enzo Doria04/2016
23762^352444+12705106097Lelio R Paula01/2017
23772^352228-18953106032Enzo Doria05/2013
23782^352107+1872533105995Enzo Doria05/2016
23792^352066-2591105983Yves Minet07/2014
23802^352030+715105972Lelio R Paula10/2011
23819*6^136176-5105967Lelio R Paula11/2014
2382155^48377+2105962Lelio R Paula08/2013
23832^351865+1869707105922Enzo Doria05/2016
23842^351831+23105912Lelio R Paula10/2011
23859*2^351784-5105899Lelio R Paula09/2014
23862^351671-112387105864Enzo Doria06/2014
23872^351669-109501105863Enzo Doria04/2014
23882^351644+74731105856Enzo Doria04/2016
238913^95025-42105853Lelio R Paula12/2016
23902^351599+15015105842Lelio R Paula01/2017
239119^82763+90105834Lelio R Paula01/2017
2392(9179*2^351540-1)/221105826Lelio R Paula05/2015
239320^81329-51105812Lelio R Paula01/2017
23942^351483+28425105807Lelio R Paula01/2017
239515^89960+86105802Lelio R Paula02/2017
23962^351460-17289105801Enzo Doria05/2013
239719^82735+22105798Lelio R Paula01/2017
23982^351435-109077105793Enzo Doria04/2014
23992^351393+1089105780Lelio R Paula01/2017
24002^351364+72631105772Enzo Doria04/2016
24012^351305+1872467105754Enzo Doria05/2016
24023^221649+16105754Lelio R Paula11/2016
24038*3^221637-5105749Lelio R Paula09/2014
24042^351279-2780449105746Enzo Doria03/2016
240515^89903-26105735Lelio R Paula02/2017
24062^351213-73105726Lelio R Paula10/2011
24072^351192-4589105720Yves Minet07/2011
240820^81250-33105709Lelio R Paula12/2016
24092^351076-113159105685Enzo Doria07/2014
241093^53688-2105684Lelio R Paula09/2013
24112^351060-4559105680Yves Minet07/2011
241211^101473-750105674Enzo Doria11/2012
24133*5^151181-8105672Lelio R Paula11/2014
241415^89831-34105650Lelio R Paula02/2017
241611^101448-360105648Enzo Doria08/2012
24153*7^125011+4105648Lelio R Paula11/2014
24172^350943-113269105645Enzo Doria07/2014
24182^350868-19725105622Enzo Doria06/2013
24192^350858-59291105619Enzo Doria10/2015
24202^350851+135105617Lelio R Paula10/2011
24212^350841-741105614Lelio R Paula01/2017
24228*10^105571+3105572Robert Price08/2015
24232*5^151026-3105563Lelio R Paula11/2014
2424(2^350702+5)/34264674063105562Lelio R Paula12/2013
24256^135647-5^135647105554Jean-Louis Charton02/2009
24263^221211+236105545Lelio R Paula11/2016
242710^105515+33105516Lelio R Paula11/2016
242810^105515-41033105515Patrick De Geest12/2016
2429(29*2^350473-1)/267927105499Lelio R Paula03/2014
243017^85732-72105489Lelio R Paula01/2017
24312^350307-110329105453Enzo Doria05/2014
24322^350253-20365105437Enzo Doria06/2013
2433(3*29^72089-1075)/4105423Curtis Bright05/2015
24342^350139-109009105403Enzo Doria04/2014
24353*5^150763+4105380Lelio R Paula11/2014
243612^97643+91105375Lelio R Paula02/2017
24376*5^150744-7105367Lelio R Paula11/2014
24382^349996-112169105360Enzo Doria06/2014
243911^101142-1080105329Enzo Doria12/2012
2440(68*10^105320-41)/9105321Robert Price10/2013
24413^220712-9934105307Enzo Doria05/2014
24427*10^105296+9105297Robert Price09/2015
24432^349739+1873373105282Enzo Doria06/2016
24447^124574+24105278Lelio R Paula11/2016
24452^349708-20957105273Enzo Doria06/2013
24462^349649-20469105255Enzo Doria06/2013
24472^349607-20109105243Enzo Doria06/2013
24482^349594-19085105239Enzo Doria05/2013
24492^349530+1874479105220Enzo Doria06/2016
2450(3^220528+8)/8081105215Lelio R Paula12/2013
24513^220464-112852105189Enzo Doria07/2014
24522^349419-17349105186Enzo Doria05/2013
24532^349400-2579105180Yves Minet07/2014
24548*5^150471+3105176Lelio R Paula11/2014
245513^94403+94105160Lelio R Paula12/2016
24562^349301-112309105151Enzo Doria06/2014
24579*2^349220+5105127Lelio R Paula09/2014
24587*3^220317+8105119Lelio R Paula09/2014
24597^124386+88105119Lelio R Paula11/2016
24602^349171-19657105111Enzo Doria06/2013
2461(2^(6*58185+1)-5)/3105093Kevin Acres11/2013
2462(2^349111-5)/3105093Lelio R Paula12/2013
24632^348981-2797573105054Enzo Doria04/2016
24642^348869-6555105021Lelio R Paula01/2017
24655^150217+78104998Lelio R Paula11/2016
24662^348703-113005104971Enzo Doria06/2014
24682^348612-809104943Yves Minet05/2013
2467(73*10^104942-1)/9104943Robert Price01/2015
24692^348583-350407104934Enzo Doria06/2015
24702^348531-949104919Yves Minet05/2012
247120^80636-59104910Lelio R Paula12/2016
24722^348437+35104890Lelio R Paula09/2011
24732^348348+135104864Lelio R Paula09/2011
2474(2^348284+9)/25104843Lelio R Paula12/2013
247575^55914-74104843Norbert Schneider01/2015
24762^348268+255255104840Lelio R Paula01/2017
24775^149985-52104836Lelio R Paula11/2016
24782^348224-20249104826Enzo Doria06/2013
24792^348212-20105104823Enzo Doria06/2013
248020^80562+19104814Lelio R Paula12/2016
24812^348149-20053104804Enzo Doria06/2013
24822^348095-171104788Lelio R Paula09/2011
24832^348003-20377104760Enzo Doria06/2013
24842^347994-741104757Lelio R Paula12/2016
2485(13*2^347972-1)/282309104746Lelio R Paula03/2014
24862^347910-109937104732Enzo Doria04/2014
24875^149794+28104702Lelio R Paula11/2016
2488(16^86939+3^86939)/19104684Robert Price06/2013
2489(15^89009-1)/14104682Paul Bourdelais03/2010
24902^347731-18609104678Enzo Doria05/2013
24914*6^134519+7104677Lelio R Paula11/2014
24922^347612-18545104642Enzo Doria05/2013
24936^134465+95104635Lelio R Paula11/2016
24942^347517-17301104614Enzo Doria05/2013
24953^219222-310104596Lelio R Paula11/2016
2496(15*2^347399-1)/13104578Lelio R Paula03/2014
24972^347372-17853104570Enzo Doria05/2013
24982^347314+99104552Lelio R Paula09/2011
24992^347300-22233104548Enzo Doria06/2013
25002^347287-19845104544Enzo Doria06/2013


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: April, 21 2017 08:01 (Time in France)

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