PRP Records

Probable Primes Top 10000

(177649 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 ?
22512^360618+75019108557Enzo Doria04/2016
22523*5^155286+2108541Lelio R Paula11/2014
22537^128422+4108530Lelio R Paula11/2014
22547^128421-80108529Lelio R Paula03/2017
22552^360497+53807108521Yves Minet07/2010
22562^360366+1459108481Lelio R Paula09/2011
22572^360364-1499108481Yves Minet05/2013
225814^94642-23108472Lelio R Paula05/2017
22594*10^108412+9108413Robert Price05/2015
22602^360093-351103108399Enzo Doria06/2015
22612^360042+723108384Lelio R Paula01/2012
226285^56164-2108364Lelio R Paula10/2013
22632^359937-29323108352Enzo Doria07/2015
22642^359898-19997108341Enzo Doria06/2013
22652*5^154948-7108305Lelio R Paula11/2014
226610^108303+13108304Lelio R Paula02/2017
226710^108303-207959108303Patrick De Geest03/2017
22682^359730+753108290Lelio R Paula12/2011
22692^359650-19797108266Enzo Doria06/2013
227091^55259-90^55259108255Robert Price07/2015
22713^226845+68108233Lelio R Paula03/2017
22725^154822-12866108216Enzo Doria05/2014
2273(9*2^359480+1)/5108215Lelio R Paula03/2014
22742^359454-177108207Lelio R Paula12/2011
22756^139022-59108181Lelio R Paula02/2017
22762^359352-179108176Lelio R Paula12/2011
22772^359338-1858781108172Enzo Doria04/2016
227812^100230-97108167Lelio R Paula03/2017
2279(25*2^359297-1)/137108159Lelio R Paula03/2014
2280(2^359262-509203)/9108148Lelio R Paula12/2013
2281(3^226648-8)/352715633108131Lelio R Paula12/2013
22826^138956-59108129Lelio R Paula02/2017
22832^359184+30285108126Lelio R Paula04/2017
228413^97059+10108119Lelio R Paula03/2017
22852^359137-81108112Lelio R Paula12/2011
2287(15185*2^359105-1)/567108103Lelio R Paula05/2015
22862^359110-11655108103Lelio R Paula04/2017
22888*6^138875+5108067Lelio R Paula11/2014
22892^358987-216919108066Enzo Doria05/2014
229039^67918-67918^39108062Norbert Schneider02/2017
22912^358785-16933108006Enzo Doria05/2013
2292(2^358783+5)/33383108000Lelio R Paula12/2013
22936^138770-77107985Lelio R Paula02/2017
2294(2^358727-1017)/94178479107980Lelio R Paula12/2013
229510^107976+19107977Lelio R Paula02/2017
229610^107976-202103107976Patrick De Geest03/2017
22972^358684+75781107975Enzo Doria04/2016
229899^54094+2107952Lelio R Paula06/2013
2299(2^358583-9)/391107942Lelio R Paula12/2013
23002^358538+55107931Lelio R Paula12/2011
23012^358517-109009107925Enzo Doria03/2014
23023^226159+104107906Lelio R Paula03/2017
23032^358310-11655107863Lelio R Paula03/2017
23042^358275-112987107852Enzo Doria07/2014
23052^358233-20005107839Enzo Doria06/2013
23062^358194+175107828Lelio R Paula12/2011
2307107^53125-106107812Norbert Schneider12/2016
23083^225922-2107793Lelio R Paula10/2013
230912^99874-95107783Lelio R Paula03/2017
23102^358030-171107778Lelio R Paula12/2011
231111^103488-4170107772Enzo Doria12/2012
23122^357911-20089107742Enzo Doria06/2013
23132^357885+12857107735Yves Minet07/2010
23147^127473+40107728Lelio R Paula03/2017
23155*2^357850+9107725Lelio R Paula09/2014
23162^357786-291191107705Enzo Doria06/2015
231718^85798-23107700Lelio R Paula04/2017
23182^357688-1854269107675Enzo Doria09/2015
23192^357671-112225107670Enzo Doria06/2014
23202^357618-21005107654Enzo Doria06/2013
23212^357615-17505107653Enzo Doria05/2013
2322(30^72871-1)/29107638Robert Price12/2011
23232^357521+1870217107625Enzo Doria05/2016
23242^357477-1203107612Lelio R Paula03/2017
23255^153894-18107568Lelio R Paula02/2017
23262^357324-69059107566Enzo Doria11/2015
23272^357283-869688105107553Lelio R Paula01/2017
23282^357280-16805107552Enzo Doria05/2013
232910^107547+481719107548Patrick De Geest03/2017
233010^107547-47107547Lelio R Paula02/2017
233117^87396-32107537Lelio R Paula04/2017
23322^357081+107107493Lelio R Paula12/2011
23332^357058-3911107486Yves Minet04/2017
23343^225274+64107484Lelio R Paula03/2017
233518^85619-95107476Lelio R Paula04/2017
23363^225248-130107471Lelio R Paula03/2017
2337(5*2^356961+1)/143107455Lelio R Paula03/2014
23382^356935-18085107449Enzo Doria05/2013
233910^107409+37107410Lelio R Paula02/2017
234010^107409-329633107409Patrick De Geest03/2017
23412^356787-109027107404Enzo Doria04/2014
2342(2^356767+78557)/5107397Lelio R Paula12/2013
23435^153622-42107378Lelio R Paula02/2017
23442^356699-97305107378Lelio R Paula03/2017
23452^356654+85107364Lelio R Paula11/2011
23462^356641-19921107360Enzo Doria06/2013
23472^356623-465107355Lelio R Paula03/2017
234819^83945-92107345Lelio R Paula02/2017
234910^107334+28149107335Patrick De Geest03/2017
235010^107334-83107334Lelio R Paula02/2017
23512^356518+885107323Lelio R Paula03/2017
2352(3*2^356506-1)/467107317Lelio R Paula03/2014
23532^356442-114713107300Enzo Doria04/2015
23542^356425+72257107295Enzo Doria04/2016
23552^356351-112237107273Enzo Doria06/2014
2356(6^137845-11)/5107264Paul Bourdelais11/2011
23572^356322+74539107264Enzo Doria04/2016
23582^356274+1874479107250Enzo Doria06/2016
235920^82422-93107234Lelio R Paula02/2017
23602^356157-20365107214Enzo Doria06/2013
23612^356129-18949107206Enzo Doria05/2013
23622^356100-109587107197Enzo Doria04/2014
2363(31*2^355970+1)/5107159Lelio R Paula03/2014
23642^355968-64875107158Lelio R Paula01/2017
23652^355952+1870321107153Enzo Doria05/2016
23662^355915-117107142Lelio R Paula11/2011
2367(19*2^355838-1)/15107119Lelio R Paula03/2014
23683^224495-8107112Lelio R Paula12/2013
23697^126691-44107067Lelio R Paula03/2017
23704^177830-8243107065Mike Oakes02/2011
23712^355524-21237107024Enzo Doria06/2013
2372(10223*2^355515+1)/4855107022Lelio R Paula07/2014
23732^355494-19901107015Enzo Doria06/2013
23742^355454-869688105107003Lelio R Paula01/2017
23752^355366+54615106976Lelio R Paula01/2017
2376(31*2^355346-1)/1563106969Lelio R Paula03/2014
23772^355275-19861106949Enzo Doria06/2013
2378(9179*2^355234-1)/1915106937Lelio R Paula05/2015
23794*10^106892-3106893Robert Price10/2015
23802^354946-3106850M. Frind & P. Underwood08/2002
23812^354873-18693106828Enzo Doria05/2013
23822^354828+4257106814Lelio R Paula01/2017
2383(21^80761+1)/22106783Paul Bourdelais03/2010
23842^354640-354640+1106758Robert Price10/2014
23852^354585+95106741Lelio R Paula10/2011
23862^354553+189106732Lelio R Paula10/2011
23872^354514-109031106720Enzo Doria04/2014
23882^354509-109465106718Enzo Doria04/2014
2389(15*2^354478-1)/26983106706Lelio R Paula03/2014
239015^90710+28106684Lelio R Paula04/2017
23917^126237+34106683Lelio R Paula03/2017
23922^354385-115315106681Enzo Doria06/2015
23932^354327-19305106664Enzo Doria06/2013
2394(35*10^106649+1)/9106650Serge Batalov11/2010
239510^106636+97106637Lelio R Paula02/2017
239610^106636-22923106636Patrick De Geest03/2017
23972^354220-57106631Lelio R Paula10/2011
23982^354157-17041106612Enzo Doria05/2013
239912^98778+73106600Lelio R Paula02/2017
24002^354064+1870651106584Enzo Doria05/2016
24012^353992-57106563Lelio R Paula10/2011
24022^353832-1853849106515Enzo Doria09/2015
2403(7^126037-1)/6106513Paul Bourdelais09/2008
24042^353794-18453106503Enzo Doria05/2013
24052^353728+7695106483Lelio R Paula01/2017
24062^353672-303106466Yves Minet02/2012
24076^136811+101106460Lelio R Paula02/2017
24082^353641+1871981106457Enzo Doria05/2016
24092^353553+54615106431Lelio R Paula01/2017
24102^353544-18897106428Enzo Doria05/2013
24116^136729-133106396Lelio R Paula02/2017
24122^353418+1605106390Lelio R Paula01/2017
24132^353387+65106381Lelio R Paula10/2011
24142^353372+74311106376Enzo Doria04/2016
24152^353344-3693106368Yves Minet03/2017
24162^353277-20089106347Enzo Doria06/2013
24172^353275+72173106347Enzo Doria04/2016
24182^353268-17705106345Enzo Doria05/2013
24192^353267-19857106344Enzo Doria06/2013
2420222748^3+3^222748106278Anatoly F. Selevich12/2010
2421(9179*2^353019-1)/9106273Lelio R Paula05/2015
24222^353025+72257106272Enzo Doria04/2016
24232^352932-20345106244Enzo Doria06/2013
2424(2^353011-3)/745325861246794515484535106244Lelio R Paula12/2013
24252^352883-187106229Lelio R Paula10/2011
242620^81649-19^81649106228Jean-Louis Charton03/2011
24272^352814-131106208Lelio R Paula10/2011
24282^352752+73951106189Enzo Doria04/2016
24296^136434+5106167Lelio R Paula11/2014
24307*5^151872-8106155Lelio R Paula11/2014
24312^352601-1604809106144Enzo Doria05/2015
243212^98353-43106141Lelio R Paula02/2017
24332^352585-18901106139Enzo Doria05/2013
2434(2^352554-3)/193106128Lelio R Paula12/2013
24352^352540+15015106126Lelio R Paula01/2017
24362^352524-3149106121Yves Minet10/2014
24372^352486-1858781106109Enzo Doria04/2016
24382^352444+12705106097Lelio R Paula01/2017
24392^352228-18953106032Enzo Doria05/2013
24402^352107+1872533105995Enzo Doria05/2016
24412^352066-2591105983Yves Minet07/2014
24422^352030+715105972Lelio R Paula10/2011
24439*6^136176-5105967Lelio R Paula11/2014
2444155^48377+2105962Lelio R Paula08/2013
24452^351865+1869707105922Enzo Doria05/2016
24462^351831+23105912Lelio R Paula10/2011
24479*2^351784-5105899Lelio R Paula09/2014
24482^351671-112387105864Enzo Doria06/2014
24492^351669-109501105863Enzo Doria04/2014
24502^351644+74731105856Enzo Doria04/2016
245113^95025-42105853Lelio R Paula12/2016
24522^351599+15015105842Lelio R Paula01/2017
245319^82763+90105834Lelio R Paula01/2017
2454(9179*2^351540-1)/221105826Lelio R Paula05/2015
245520^81329-51105812Lelio R Paula01/2017
24562^351483+28425105807Lelio R Paula01/2017
245715^89960+86105802Lelio R Paula02/2017
24582^351460-17289105801Enzo Doria05/2013
245919^82735+22105798Lelio R Paula01/2017
24602^351435-109077105793Enzo Doria04/2014
24612^351393+1089105780Lelio R Paula01/2017
24622^351364+72631105772Enzo Doria04/2016
24632^351305+1872467105754Enzo Doria05/2016
24643^221649+16105754Lelio R Paula11/2016
24658*3^221637-5105749Lelio R Paula09/2014
24662^351279-2780449105746Enzo Doria03/2016
246715^89903-26105735Lelio R Paula02/2017
24682^351213-73105726Lelio R Paula10/2011
24692^351192-4589105720Yves Minet07/2011
247020^81250-33105709Lelio R Paula12/2016
24712^351076-113159105685Enzo Doria07/2014
247293^53688-2105684Lelio R Paula09/2013
24732^351060-4559105680Yves Minet07/2011
247411^101473-750105674Enzo Doria11/2012
24753*5^151181-8105672Lelio R Paula11/2014
247615^89831-34105650Lelio R Paula02/2017
247811^101448-360105648Enzo Doria08/2012
24773*7^125011+4105648Lelio R Paula11/2014
24792^350943-113269105645Enzo Doria07/2014
24802^350868-19725105622Enzo Doria06/2013
24812^350858-59291105619Enzo Doria10/2015
24822^350851+135105617Lelio R Paula10/2011
24832^350841-741105614Lelio R Paula01/2017
24848*10^105571+3105572Robert Price08/2015
24852*5^151026-3105563Lelio R Paula11/2014
2486(2^350702+5)/34264674063105562Lelio R Paula12/2013
24876^135647-5^135647105554Jean-Louis Charton02/2009
24883^221211+236105545Lelio R Paula11/2016
248910^105515+33105516Lelio R Paula11/2016
249010^105515-41033105515Patrick De Geest12/2016
2491(29*2^350473-1)/267927105499Lelio R Paula03/2014
249217^85732-72105489Lelio R Paula01/2017
24932^350307-110329105453Enzo Doria05/2014
24942^350253-20365105437Enzo Doria06/2013
2495(3*29^72089-1075)/4105423Curtis Bright05/2015
24962^350139-109009105403Enzo Doria04/2014
24973*5^150763+4105380Lelio R Paula11/2014
249812^97643+91105375Lelio R Paula02/2017
24996*5^150744-7105367Lelio R Paula11/2014
25002^349996-112169105360Enzo Doria06/2014


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: July, 27 2017 08:43 (Time in France)

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