PRP Records

Probable Primes Top 10000

(255244 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 (> 50000) Who ? When ?
30012^360641-113185108564Enzo Doria07/2014
30022^360618+75019108557Enzo Doria04/2016
3003(14*10^108545-221)/9108546Robert Price04/2018
3004(44*10^108544-233)/9108545Robert Price01/2019
30053*5^155286+2108541Lelio R Paula11/2014
30067^128422+4108530Lelio R Paula11/2014
30077^128421-80108529Lelio R Paula03/2017
30082^360497+53807108521Yves Minet07/2010
30092^360468-4559108512Yves Minet03/2019
30102^360366+1459108481Lelio R Paula09/2011
30112^360364-1499108481Yves Minet05/2013
301214^94642-23108472Lelio R Paula05/2017
30134*10^108412+9108413Robert Price05/2015
3014133^51042-132108406Norbert Schneider02/2019
30152^360093-351103108399Enzo Doria06/2015
30162^360042+723108384Lelio R Paula01/2012
301785^56164-2108364Lelio R Paula10/2013
30182^359937-29323108352Enzo Doria07/2015
30192^359898-19997108341Enzo Doria06/2013
30202*5^154948-7108305Lelio R Paula11/2014
302110^108303+13108304Lelio R Paula02/2017
302210^108303-207959108303Patrick De Geest03/2017
30237*10^108300+69108301Robert Price07/2019
30242^359730+753108290Lelio R Paula12/2011
3025(8*10^108273+13)/3108274Robert Price06/2018
30262^359650-19797108266Enzo Doria06/2013
302791^55259-90^55259108255Robert Price07/2015
30284*10^108238-71108239Robert Price12/2018
30293^226845+68108233Lelio R Paula03/2017
30305^154822-12866108216Enzo Doria05/2014
3031(9*2^359480+1)/5108215Lelio R Paula03/2014
30322^359454-177108207Lelio R Paula12/2011
3033(19*10^108184+191)/3108185Robert Price05/2019
30346^139022-59108181Lelio R Paula02/2017
3035(19*10^108176-43)/3108177Robert Price05/2019
30362^359352-179108176Lelio R Paula12/2011
30372^359338-1858781108172Enzo Doria04/2016
303812^100230-97108167Lelio R Paula03/2017
3039(25*2^359297-1)/137108159Lelio R Paula03/2014
3040(2^359262-509203)/9108148Lelio R Paula12/2013
3041(3^226648-8)/352715633108131Lelio R Paula12/2013
30426^138956-59108129Lelio R Paula02/2017
30432^359184+30285108126Lelio R Paula04/2017
304413^97059+10108119Lelio R Paula03/2017
30452^359137-81108112Lelio R Paula12/2011
3047(15185*2^359105-1)/567108103Lelio R Paula05/2015
30462^359110-11655108103Lelio R Paula04/2017
30488*6^138875+5108067Lelio R Paula11/2014
30492^358987-216919108066Enzo Doria05/2014
305039^67918-67918^39108062Norbert Schneider02/2017
30512^358785-16933108006Enzo Doria05/2013
3052(2^358783+5)/33383108000Lelio R Paula12/2013
30536^138770-77107985Lelio R Paula02/2017
3054(2^358727-1017)/94178479107980Lelio R Paula12/2013
305510^107976+19107977Lelio R Paula02/2017
305610^107976-202103107976Patrick De Geest03/2017
30572^358684+75781107975Enzo Doria04/2016
305899^54094+2107952Lelio R Paula06/2013
3059(2^358583-9)/391107942Lelio R Paula12/2013
30602^358538+55107931Lelio R Paula12/2011
30612^358517-109009107925Enzo Doria03/2014
30623^226159+104107906Lelio R Paula03/2017
30632^358310-11655107863Lelio R Paula03/2017
30642^358275-112987107852Enzo Doria07/2014
30652^358233-20005107839Enzo Doria06/2013
30662^358194+175107828Lelio R Paula12/2011
3067107^53125-106107812Norbert Schneider12/2016
3068(25*10^107804+161)/3107805Robert Price09/2019
30693^225922-2107793Lelio R Paula10/2013
307012^99874-95107783Lelio R Paula03/2017
30712^358030-171107778Lelio R Paula12/2011
307211^103488-4170107772Enzo Doria12/2012
30732^357930-4547107748Yves Minet03/2019
30742^357911-20089107742Enzo Doria06/2013
30752^357885+12857107735Yves Minet07/2010
3076(248587#+9289)/(7*1327*111512899)107733Makoto Morimoto06/2019
30777^127473+40107728Lelio R Paula03/2017
30785*2^357850+9107725Lelio R Paula09/2014
30792^357786-291191107705Enzo Doria06/2015
308018^85798-23107700Lelio R Paula04/2017
3081(14*10^107694-83)/3107695Robert Price12/2018
30822^357688-1854269107675Enzo Doria09/2015
30832^357671-112225107670Enzo Doria06/2014
30842^357618-21005107654Enzo Doria06/2013
30852^357615-17505107653Enzo Doria05/2013
3086(30^72871-1)/29107638Robert Price12/2011
30872^357521+1870217107625Enzo Doria05/2016
30882^357477-1203107612Lelio R Paula03/2017
30895^153894-18107568Lelio R Paula02/2017
30902^357324-69059107566Enzo Doria11/2015
3091467^40296+40296^467107563Norbert Schneider03/2019
30922^357283-869688105107553Lelio R Paula01/2017
30932^357280-16805107552Enzo Doria05/2013
309410^107547+481719107548Patrick De Geest03/2017
309510^107547-47107547Lelio R Paula02/2017
309617^87396-32107537Lelio R Paula04/2017
30972^357081+107107493Lelio R Paula12/2011
30982^357058-3911107486Yves Minet04/2017
30993^225274+64107484Lelio R Paula03/2017
310018^85619-95107476Lelio R Paula04/2017
31013^225248-130107471Lelio R Paula03/2017
3102(5*2^356961+1)/143107455Lelio R Paula03/2014
31032^356935-18085107449Enzo Doria05/2013
310410^107409+37107410Lelio R Paula02/2017
310510^107409-329633107409Patrick De Geest03/2017
31062^356787-109027107404Enzo Doria04/2014
3107(2^356767+78557)/5107397Lelio R Paula12/2013
31083*10^107389+77107390Robert Price09/2018
31095^153622-42107378Lelio R Paula02/2017
31102^356699-97305107378Lelio R Paula03/2017
31112^356654+85107364Lelio R Paula11/2011
31122^356641-19921107360Enzo Doria06/2013
31135*10^107355+11107356Robert Price08/2019
31142^356623-465107355Lelio R Paula03/2017
311519^83945-92107345Lelio R Paula02/2017
311610^107334+28149107335Patrick De Geest03/2017
311710^107334-83107334Lelio R Paula02/2017
31182^356518+885107323Lelio R Paula03/2017
3119(3*2^356506-1)/467107317Lelio R Paula03/2014
31202^356442-114713107300Enzo Doria04/2015
31212^356425+72257107295Enzo Doria04/2016
31222^356351-112237107273Enzo Doria06/2014
3124(6^137845-11)/5107264Paul Bourdelais11/2011
31232^356322+74539107264Enzo Doria04/2016
31252^356274+1874479107250Enzo Doria06/2016
312620^82422-93107234Lelio R Paula02/2017
31272^356157-20365107214Enzo Doria06/2013
31282^356129-18949107206Enzo Doria05/2013
31292^356100-109587107197Enzo Doria04/2014
3130(31*2^355970+1)/5107159Lelio R Paula03/2014
31312^355968-64875107158Lelio R Paula01/2017
31322^355952+1870321107153Enzo Doria05/2016
31332^355915-117107142Lelio R Paula11/2011
3134(16*10^107140+77)/3107141Robert Price03/2019
3135(19*2^355838-1)/15107119Lelio R Paula03/2014
31363^224495-8107112Lelio R Paula12/2013
31377^126691-44107067Lelio R Paula03/2017
31384^177830-8243107065Mike Oakes02/2011
31392^355524-21237107024Enzo Doria06/2013
3140(10223*2^355515+1)/4855107022Lelio R Paula07/2014
31412^355494-19901107015Enzo Doria06/2013
31422^355454-869688105107003Lelio R Paula01/2017
31432^355366+54615106976Lelio R Paula01/2017
3144(31*2^355346-1)/1563106969Lelio R Paula03/2014
31452^355275-19861106949Enzo Doria06/2013
3146(9179*2^355234-1)/1915106937Lelio R Paula05/2015
31474*10^106892-3106893Robert Price10/2015
3148(66^58741+1)/67106881Paul Bourdelais08/2017
31492^354946-3106850M. Frind & P. Underwood08/2002
31502^354873-18693106828Enzo Doria05/2013
31512^354828+4257106814Lelio R Paula01/2017
3152436^40459+40459^436106791Norbert Schneider03/2019
3153(21^80761+1)/22106783Paul Bourdelais03/2010
31542^354640-354640+1106758Robert Price10/2014
31552^354585+95106741Lelio R Paula10/2011
31562^354553+189106732Lelio R Paula10/2011
31572^354514-109031106720Enzo Doria04/2014
31582^354509-109465106718Enzo Doria04/2014
3159(15*2^354478-1)/26983106706Lelio R Paula03/2014
3160Phi(217618,10)/899798636917106693Makoto Kamada06/2019
316115^90710+28106684Lelio R Paula04/2017
31627^126237+34106683Lelio R Paula03/2017
31632^354385-115315106681Enzo Doria06/2015
31642^354327-19305106664Enzo Doria06/2013
3165(35*10^106649+1)/9106650Serge Batalov11/2010
316610^106636+97106637Lelio R Paula02/2017
316710^106636-22923106636Patrick De Geest03/2017
31682^354220-57106631Lelio R Paula10/2011
31692^354157-17041106612Enzo Doria05/2013
317012^98778+73106600Lelio R Paula02/2017
31712^354064+1870651106584Enzo Doria05/2016
31722^353992-57106563Lelio R Paula10/2011
3173NSW(139160)106535Robert Price12/2018
3174(7*10^106516+113)/3106517Robert Price02/2018
31752^353832-1853849106515Enzo Doria09/2015
3176(7^126037-1)/6106513Paul Bourdelais09/2008
31772^353794-18453106503Enzo Doria05/2013
31782^353728+7695106483Lelio R Paula01/2017
31792^353672-303106466Yves Minet02/2012
31806^136811+101106460Lelio R Paula02/2017
31812^353641+1871981106457Enzo Doria05/2016
3182(8*10^106454-29)/3106455Robert Price07/2018
31832^353553+54615106431Lelio R Paula01/2017
31842^353544-18897106428Enzo Doria05/2013
31856^136729-133106396Lelio R Paula02/2017
31862^353418+1605106390Lelio R Paula01/2017
31872^353387+65106381Lelio R Paula10/2011
31882^353372+74311106376Enzo Doria04/2016
31892^353344-3693106368Yves Minet03/2017
31912^353277-20089106347Enzo Doria06/2013
31902^353275+72173106347Enzo Doria04/2016
31922^353268-17705106345Enzo Doria05/2013
31932^353267-19857106344Enzo Doria06/2013
3194(46*10^106343+143)/9106344Robert Price01/2019
3195222748^3+3^222748106278Anatoly F. Selevich12/2010
3196(9179*2^353019-1)/9106273Lelio R Paula05/2015
31972^353025+72257106272Enzo Doria04/2016
31992^352932-20345106244Enzo Doria06/2013
3198(2^353011-3)/745325861246794515484535106244Lelio R Paula12/2013
32002^352883-187106229Lelio R Paula10/2011
320120^81649-19^81649106228Jean-Louis Charton03/2011
3202(55*10^106222+377)/9106223Robert Price02/2019
32032^352814-131106208Lelio R Paula10/2011
32042^352752+73951106189Enzo Doria04/2016
32056^136434+5106167Lelio R Paula11/2014
32068*10^106157-13106158Robert Price08/2019
32077*5^151872-8106155Lelio R Paula11/2014
3208105^52520-2106153Lelio R Paula10/2017
32092^352601-1604809106144Enzo Doria05/2015
321012^98353-43106141Lelio R Paula02/2017
32112^352585-18901106139Enzo Doria05/2013
3212(2^352554-3)/193106128Lelio R Paula12/2013
32132^352540+15015106126Lelio R Paula01/2017
32142^352524-3149106121Yves Minet10/2014
32152^352486-1858781106109Enzo Doria04/2016
32162^352444+12705106097Lelio R Paula01/2017
32172^352228-18953106032Enzo Doria05/2013
32182^352107+1872533105995Enzo Doria05/2016
32192^352066-2591105983Yves Minet07/2014
32202^352030+715105972Lelio R Paula10/2011
32219*6^136176-5105967Lelio R Paula11/2014
322217099*2^351991+58329105965Paul Vanderveen12/2017
3223155^48377+2105962Lelio R Paula08/2013
32242^351865+1869707105922Enzo Doria05/2016
32252^351831+23105912Lelio R Paula10/2011
32269*2^351784-5105899Lelio R Paula09/2014
32272^351671-112387105864Enzo Doria06/2014
32282^351669-109501105863Enzo Doria04/2014
32292^351644+74731105856Enzo Doria04/2016
323013^95025-42105853Lelio R Paula12/2016
32312^351599+15015105842Lelio R Paula01/2017
323219^82763+90105834Lelio R Paula01/2017
3233(9179*2^351540-1)/221105826Lelio R Paula05/2015
323420^81329-51105812Lelio R Paula01/2017
3235(5*10^105811+211)/9105811Robert Price02/2018
32362^351483+28425105807Lelio R Paula01/2017
323715^89960+86105802Lelio R Paula02/2017
32382^351460-17289105801Enzo Doria05/2013
323919^82735+22105798Lelio R Paula01/2017
32402^351435-109077105793Enzo Doria04/2014
32412^351393+1089105780Lelio R Paula01/2017
32422^351364+72631105772Enzo Doria04/2016
32442^351305+1872467105754Enzo Doria05/2016
32433^221649+16105754Lelio R Paula11/2016
32458*3^221637-5105749Lelio R Paula09/2014
32462^351279-2780449105746Enzo Doria03/2016
324715^89903-26105735Lelio R Paula02/2017
32482^351213-73105726Lelio R Paula10/2011
32492^351192-4589105720Yves Minet07/2011
325020^81250-33105709Lelio R Paula12/2016


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: November, 10 2019 12:07 (Time in France)

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