PRP Records

Probable Primes Top 10000

(173006 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 ?
2251(2^359262-509203)/9108148Lelio R Paula12/2013
2252(3^226648-8)/352715633108131Lelio R Paula12/2013
22536^138956-59108129Lelio R Paula02/2017
22542^359184+30285108126Lelio R Paula04/2017
225513^97059+10108119Lelio R Paula03/2017
22562^359137-81108112Lelio R Paula12/2011
2258(15185*2^359105-1)/567108103Lelio R Paula05/2015
22572^359110-11655108103Lelio R Paula04/2017
22598*6^138875+5108067Lelio R Paula11/2014
22602^358987-216919108066Enzo Doria05/2014
226139^67918-67918^39108062Norbert Schneider02/2017
22622^358785-16933108006Enzo Doria05/2013
2263(2^358783+5)/33383108000Lelio R Paula12/2013
22646^138770-77107985Lelio R Paula02/2017
2265(2^358727-1017)/94178479107980Lelio R Paula12/2013
226610^107976+19107977Lelio R Paula02/2017
226710^107976-202103107976Patrick De Geest03/2017
22682^358684+75781107975Enzo Doria04/2016
226999^54094+2107952Lelio R Paula06/2013
2270(2^358583-9)/391107942Lelio R Paula12/2013
22712^358538+55107931Lelio R Paula12/2011
22722^358517-109009107925Enzo Doria03/2014
22733^226159+104107906Lelio R Paula03/2017
22742^358310-11655107863Lelio R Paula03/2017
22752^358275-112987107852Enzo Doria07/2014
22762^358233-20005107839Enzo Doria06/2013
22772^358194+175107828Lelio R Paula12/2011
2278107^53125-106107812Norbert Schneider12/2016
22793^225922-2107793Lelio R Paula10/2013
228012^99874-95107783Lelio R Paula03/2017
22812^358030-171107778Lelio R Paula12/2011
228211^103488-4170107772Enzo Doria12/2012
22832^357911-20089107742Enzo Doria06/2013
22842^357885+12857107735Yves Minet07/2010
22857^127473+40107728Lelio R Paula03/2017
22865*2^357850+9107725Lelio R Paula09/2014
22872^357786-291191107705Enzo Doria06/2015
228818^85798-23107700Lelio R Paula04/2017
22892^357688-1854269107675Enzo Doria09/2015
22902^357671-112225107670Enzo Doria06/2014
22912^357618-21005107654Enzo Doria06/2013
22922^357615-17505107653Enzo Doria05/2013
2293(30^72871-1)/29107638Robert Price12/2011
22942^357521+1870217107625Enzo Doria05/2016
22952^357477-1203107612Lelio R Paula03/2017
22965^153894-18107568Lelio R Paula02/2017
22972^357324-69059107566Enzo Doria11/2015
22982^357283-869688105107553Lelio R Paula01/2017
22992^357280-16805107552Enzo Doria05/2013
230010^107547+481719107548Patrick De Geest03/2017
230110^107547-47107547Lelio R Paula02/2017
230217^87396-32107537Lelio R Paula04/2017
23032^357081+107107493Lelio R Paula12/2011
23042^357058-3911107486Yves Minet04/2017
23053^225274+64107484Lelio R Paula03/2017
230618^85619-95107476Lelio R Paula04/2017
23073^225248-130107471Lelio R Paula03/2017
2308(5*2^356961+1)/143107455Lelio R Paula03/2014
23092^356935-18085107449Enzo Doria05/2013
231010^107409+37107410Lelio R Paula02/2017
231110^107409-329633107409Patrick De Geest03/2017
23122^356787-109027107404Enzo Doria04/2014
2313(2^356767+78557)/5107397Lelio R Paula12/2013
23145^153622-42107378Lelio R Paula02/2017
23152^356699-97305107378Lelio R Paula03/2017
23162^356654+85107364Lelio R Paula11/2011
23172^356641-19921107360Enzo Doria06/2013
23182^356623-465107355Lelio R Paula03/2017
231919^83945-92107345Lelio R Paula02/2017
232010^107334+28149107335Patrick De Geest03/2017
232110^107334-83107334Lelio R Paula02/2017
23222^356518+885107323Lelio R Paula03/2017
2323(3*2^356506-1)/467107317Lelio R Paula03/2014
23242^356442-114713107300Enzo Doria04/2015
23252^356425+72257107295Enzo Doria04/2016
23262^356351-112237107273Enzo Doria06/2014
2327(6^137845-11)/5107264Paul Bourdelais11/2011
23282^356322+74539107264Enzo Doria04/2016
23292^356274+1874479107250Enzo Doria06/2016
233020^82422-93107234Lelio R Paula02/2017
23312^356157-20365107214Enzo Doria06/2013
23322^356129-18949107206Enzo Doria05/2013
23332^356100-109587107197Enzo Doria04/2014
2334(31*2^355970+1)/5107159Lelio R Paula03/2014
23352^355968-64875107158Lelio R Paula01/2017
23362^355952+1870321107153Enzo Doria05/2016
23372^355915-117107142Lelio R Paula11/2011
2338(19*2^355838-1)/15107119Lelio R Paula03/2014
23393^224495-8107112Lelio R Paula12/2013
23407^126691-44107067Lelio R Paula03/2017
23414^177830-8243107065Mike Oakes02/2011
23422^355524-21237107024Enzo Doria06/2013
2343(10223*2^355515+1)/4855107022Lelio R Paula07/2014
23442^355494-19901107015Enzo Doria06/2013
23452^355454-869688105107003Lelio R Paula01/2017
23462^355366+54615106976Lelio R Paula01/2017
2347(31*2^355346-1)/1563106969Lelio R Paula03/2014
23482^355275-19861106949Enzo Doria06/2013
2349(9179*2^355234-1)/1915106937Lelio R Paula05/2015
23504*10^106892-3106893Robert Price10/2015
23512^354946-3106850M. Frind & P. Underwood08/2002
23522^354873-18693106828Enzo Doria05/2013
23532^354828+4257106814Lelio R Paula01/2017
2354(21^80761+1)/22106783Paul Bourdelais03/2010
23552^354640-354640+1106758Robert Price10/2014
23562^354585+95106741Lelio R Paula10/2011
23572^354553+189106732Lelio R Paula10/2011
23582^354514-109031106720Enzo Doria04/2014
23592^354509-109465106718Enzo Doria04/2014
2360(15*2^354478-1)/26983106706Lelio R Paula03/2014
236115^90710+28106684Lelio R Paula04/2017
23627^126237+34106683Lelio R Paula03/2017
23632^354385-115315106681Enzo Doria06/2015
23642^354327-19305106664Enzo Doria06/2013
2365(35*10^106649+1)/9106650Serge Batalov11/2010
236610^106636+97106637Lelio R Paula02/2017
236710^106636-22923106636Patrick De Geest03/2017
23682^354220-57106631Lelio R Paula10/2011
23692^354157-17041106612Enzo Doria05/2013
237012^98778+73106600Lelio R Paula02/2017
23712^354064+1870651106584Enzo Doria05/2016
23722^353992-57106563Lelio R Paula10/2011
23732^353832-1853849106515Enzo Doria09/2015
2374(7^126037-1)/6106513Paul Bourdelais09/2008
23752^353794-18453106503Enzo Doria05/2013
23762^353728+7695106483Lelio R Paula01/2017
23772^353672-303106466Yves Minet02/2012
23786^136811+101106460Lelio R Paula02/2017
23792^353641+1871981106457Enzo Doria05/2016
23802^353553+54615106431Lelio R Paula01/2017
23812^353544-18897106428Enzo Doria05/2013
23826^136729-133106396Lelio R Paula02/2017
23832^353418+1605106390Lelio R Paula01/2017
23842^353387+65106381Lelio R Paula10/2011
23852^353372+74311106376Enzo Doria04/2016
23862^353344-3693106368Yves Minet03/2017
23872^353277-20089106347Enzo Doria06/2013
23882^353275+72173106347Enzo Doria04/2016
23892^353268-17705106345Enzo Doria05/2013
23902^353267-19857106344Enzo Doria06/2013
2391222748^3+3^222748106278Anatoly F. Selevich12/2010
2392(9179*2^353019-1)/9106273Lelio R Paula05/2015
23932^353025+72257106272Enzo Doria04/2016
23942^352932-20345106244Enzo Doria06/2013
2395(2^353011-3)/745325861246794515484535106244Lelio R Paula12/2013
23962^352883-187106229Lelio R Paula10/2011
239720^81649-19^81649106228Jean-Louis Charton03/2011
23982^352814-131106208Lelio R Paula10/2011
23992^352752+73951106189Enzo Doria04/2016
24006^136434+5106167Lelio R Paula11/2014
24017*5^151872-8106155Lelio R Paula11/2014
24022^352601-1604809106144Enzo Doria05/2015
240312^98353-43106141Lelio R Paula02/2017
24042^352585-18901106139Enzo Doria05/2013
2405(2^352554-3)/193106128Lelio R Paula12/2013
24062^352540+15015106126Lelio R Paula01/2017
24072^352524-3149106121Yves Minet10/2014
24082^352486-1858781106109Enzo Doria04/2016
24092^352444+12705106097Lelio R Paula01/2017
24102^352228-18953106032Enzo Doria05/2013
24112^352107+1872533105995Enzo Doria05/2016
24122^352066-2591105983Yves Minet07/2014
24132^352030+715105972Lelio R Paula10/2011
24149*6^136176-5105967Lelio R Paula11/2014
2415155^48377+2105962Lelio R Paula08/2013
24162^351865+1869707105922Enzo Doria05/2016
24172^351831+23105912Lelio R Paula10/2011
24189*2^351784-5105899Lelio R Paula09/2014
24192^351671-112387105864Enzo Doria06/2014
24202^351669-109501105863Enzo Doria04/2014
24212^351644+74731105856Enzo Doria04/2016
242213^95025-42105853Lelio R Paula12/2016
24232^351599+15015105842Lelio R Paula01/2017
242419^82763+90105834Lelio R Paula01/2017
2425(9179*2^351540-1)/221105826Lelio R Paula05/2015
242620^81329-51105812Lelio R Paula01/2017
24272^351483+28425105807Lelio R Paula01/2017
242815^89960+86105802Lelio R Paula02/2017
24292^351460-17289105801Enzo Doria05/2013
243019^82735+22105798Lelio R Paula01/2017
24312^351435-109077105793Enzo Doria04/2014
24322^351393+1089105780Lelio R Paula01/2017
24332^351364+72631105772Enzo Doria04/2016
24342^351305+1872467105754Enzo Doria05/2016
24353^221649+16105754Lelio R Paula11/2016
24368*3^221637-5105749Lelio R Paula09/2014
24372^351279-2780449105746Enzo Doria03/2016
243815^89903-26105735Lelio R Paula02/2017
24392^351213-73105726Lelio R Paula10/2011
24402^351192-4589105720Yves Minet07/2011
244120^81250-33105709Lelio R Paula12/2016
24422^351076-113159105685Enzo Doria07/2014
244393^53688-2105684Lelio R Paula09/2013
24442^351060-4559105680Yves Minet07/2011
244511^101473-750105674Enzo Doria11/2012
24463*5^151181-8105672Lelio R Paula11/2014
244715^89831-34105650Lelio R Paula02/2017
244911^101448-360105648Enzo Doria08/2012
24483*7^125011+4105648Lelio R Paula11/2014
24502^350943-113269105645Enzo Doria07/2014
24512^350868-19725105622Enzo Doria06/2013
24522^350858-59291105619Enzo Doria10/2015
24532^350851+135105617Lelio R Paula10/2011
24542^350841-741105614Lelio R Paula01/2017
24558*10^105571+3105572Robert Price08/2015
24562*5^151026-3105563Lelio R Paula11/2014
2457(2^350702+5)/34264674063105562Lelio R Paula12/2013
24586^135647-5^135647105554Jean-Louis Charton02/2009
24593^221211+236105545Lelio R Paula11/2016
246010^105515+33105516Lelio R Paula11/2016
246110^105515-41033105515Patrick De Geest12/2016
2462(29*2^350473-1)/267927105499Lelio R Paula03/2014
246317^85732-72105489Lelio R Paula01/2017
24642^350307-110329105453Enzo Doria05/2014
24652^350253-20365105437Enzo Doria06/2013
2466(3*29^72089-1075)/4105423Curtis Bright05/2015
24672^350139-109009105403Enzo Doria04/2014
24683*5^150763+4105380Lelio R Paula11/2014
246912^97643+91105375Lelio R Paula02/2017
24706*5^150744-7105367Lelio R Paula11/2014
24712^349996-112169105360Enzo Doria06/2014
247211^101142-1080105329Enzo Doria12/2012
2473(68*10^105320-41)/9105321Robert Price10/2013
24743^220712-9934105307Enzo Doria05/2014
24757*10^105296+9105297Robert Price09/2015
24762^349739+1873373105282Enzo Doria06/2016
24777^124574+24105278Lelio R Paula11/2016
24782^349708-20957105273Enzo Doria06/2013
24792^349649-20469105255Enzo Doria06/2013
24802^349607-20109105243Enzo Doria06/2013
24812^349594-19085105239Enzo Doria05/2013
24822^349530+1874479105220Enzo Doria06/2016
2483(3^220528+8)/8081105215Lelio R Paula12/2013
24843^220464-112852105189Enzo Doria07/2014
24852^349419-17349105186Enzo Doria05/2013
24862^349400-2579105180Yves Minet07/2014
24878*5^150471+3105176Lelio R Paula11/2014
248813^94403+94105160Lelio R Paula12/2016
24892^349301-112309105151Enzo Doria06/2014
24909*2^349220+5105127Lelio R Paula09/2014
24917*3^220317+8105119Lelio R Paula09/2014
24927^124386+88105119Lelio R Paula11/2016
24932^349171-19657105111Enzo Doria06/2013
2494(2^(6*58185+1)-5)/3105093Kevin Acres11/2013
2495(2^349111-5)/3105093Lelio R Paula12/2013
24962^348981-2797573105054Enzo Doria04/2016
24972^348869-6555105021Lelio R Paula01/2017
24985^150217+78104998Lelio R Paula11/2016
24992^348703-113005104971Enzo Doria06/2014
2500(73*10^104942-1)/9104943Robert Price01/2015


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: May, 25 2017 10:58 (Time in France)

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