PRP Records

Probable Primes Top 10000

(252675 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 ?
27512^364094-113109604Lelio R Paula01/2012
2752(4^182026+11)/3109591Robert Price02/2017
27532^364041-6883109588Lelio R Paula09/2011
275412^101545+11109586Lelio R Paula03/2017
27552^363842-2787101109528Enzo Doria03/2016
2756(22699*2^363782+1)/763109511Lelio R Paula07/2014
27572^363769+5711109506Lelio R Paula04/2017
2758(31*2^363748+1)/49109499Lelio R Paula03/2014
2759p(22245)#/2-8109462Robert Price01/2017
27602^363556+55109442Lelio R Paula01/2012
2761(55459*2^363411+1)/81109401Lelio R Paula07/2014
27622^363406+1871569109397Enzo Doria05/2016
2763(2^363349+7)/9109378Lelio R Paula01/2014
27643^229236+100109374Lelio R Paula03/2017
27652^363268-58695109355Lelio R Paula04/2017
27662^363191-112321109332Enzo Doria06/2014
27674*10^109316-63109317Robert Price10/2018
27682^363120+3109311Donovan Johnson04/2006
2769(10^109297-1)/9109297Paul Bourdelais, Harvey Dubner04/2007
27702^363042-114641109287Enzo Doria04/2015
27712^363020-112793109280Enzo Doria06/2014
2772(67607*2^362695+1)/70499109183Lelio R Paula07/2014
2773(9*2^362644+1)/5109167Lelio R Paula03/2014
27745^156181+38109166Lelio R Paula02/2017
27754*10^109142+91109143Robert Price08/2018
27763^228750+68109142Lelio R Paula03/2017
2777(10223*2^362376+1)/9109090Lelio R Paula07/2014
277865^60167-64^60167109078Robert Price08/2013
27797*3^228589-2109066Lelio R Paula09/2014
2780(78557*2^362188+1)/189109033Lelio R Paula07/2014
27812*7^129008+9109025Lelio R Paula11/2014
2782(5*10^108960+91)/3108961Robert Price04/2018
27832^361957+76367108960Enzo Doria05/2016
27842^361873-1411108935Yves Minet01/2013
2785(24737*2^361857+1)/35108933Lelio R Paula07/2014
2786115^52842-114108892Norbert Schneider07/2018
278713^97745-24108883Lelio R Paula03/2017
278817^88475+8108864Lelio R Paula04/2017
27892^361567+51108843Lelio R Paula01/2012
27902^361563-109501108842Enzo Doria04/2014
279112^100852+83108838Lelio R Paula03/2017
27922^361497+767108822Lelio R Paula01/2012
27932^361280-112349108757Enzo Doria06/2014
27942^361271-5955108754Lelio R Paula04/2017
279512^100757+19108736Lelio R Paula03/2017
279614^94849-61108710Lelio R Paula05/2017
2797(19^85009-5^85009)/14108705Robert Price07/2013
2798(11*2^361027+1)/40463108677Lelio R Paula03/2014
27992^360973+1299108664Lelio R Paula04/2017
28002^360959-109101108660Enzo Doria04/2014
28016*5^155454+7108659Lelio R Paula11/2014
280210^108656+79108657Lelio R Paula02/2017
280310^108656-50001108656Patrick De Geest03/2017
28042^360918-35108648Lelio R Paula01/2012
2805(11*2^360886-1)/7108638Lelio R Paula03/2014
28063*10^108624-49108625Robert Price07/2018
28072^360706-458903108584Enzo Doria04/2015
28082^360641-113185108564Enzo Doria07/2014
28092^360618+75019108557Enzo Doria04/2016
2810(14*10^108545-221)/9108546Robert Price04/2018
2811(44*10^108544-233)/9108545Robert Price01/2019
28123*5^155286+2108541Lelio R Paula11/2014
28137^128422+4108530Lelio R Paula11/2014
28147^128421-80108529Lelio R Paula03/2017
28152^360497+53807108521Yves Minet07/2010
28162^360468-4559108512Yves Minet03/2019
28182^360366+1459108481Lelio R Paula09/2011
28172^360364-1499108481Yves Minet05/2013
281914^94642-23108472Lelio R Paula05/2017
28204*10^108412+9108413Robert Price05/2015
2821133^51042-132108406Norbert Schneider02/2019
28222^360093-351103108399Enzo Doria06/2015
28232^360042+723108384Lelio R Paula01/2012
282485^56164-2108364Lelio R Paula10/2013
28252^359937-29323108352Enzo Doria07/2015
28262^359898-19997108341Enzo Doria06/2013
28272*5^154948-7108305Lelio R Paula11/2014
282810^108303+13108304Lelio R Paula02/2017
282910^108303-207959108303Patrick De Geest03/2017
28302^359730+753108290Lelio R Paula12/2011
2831(8*10^108273+13)/3108274Robert Price06/2018
28322^359650-19797108266Enzo Doria06/2013
283391^55259-90^55259108255Robert Price07/2015
28344*10^108238-71108239Robert Price12/2018
28353^226845+68108233Lelio R Paula03/2017
28365^154822-12866108216Enzo Doria05/2014
2837(9*2^359480+1)/5108215Lelio R Paula03/2014
28382^359454-177108207Lelio R Paula12/2011
28396^139022-59108181Lelio R Paula02/2017
28402^359352-179108176Lelio R Paula12/2011
28412^359338-1858781108172Enzo Doria04/2016
284212^100230-97108167Lelio R Paula03/2017
2843(25*2^359297-1)/137108159Lelio R Paula03/2014
2844(2^359262-509203)/9108148Lelio R Paula12/2013
2845(3^226648-8)/352715633108131Lelio R Paula12/2013
28466^138956-59108129Lelio R Paula02/2017
28472^359184+30285108126Lelio R Paula04/2017
284813^97059+10108119Lelio R Paula03/2017
28492^359137-81108112Lelio R Paula12/2011
2851(15185*2^359105-1)/567108103Lelio R Paula05/2015
28502^359110-11655108103Lelio R Paula04/2017
28528*6^138875+5108067Lelio R Paula11/2014
28532^358987-216919108066Enzo Doria05/2014
285439^67918-67918^39108062Norbert Schneider02/2017
28552^358785-16933108006Enzo Doria05/2013
2856(2^358783+5)/33383108000Lelio R Paula12/2013
28576^138770-77107985Lelio R Paula02/2017
2858(2^358727-1017)/94178479107980Lelio R Paula12/2013
285910^107976+19107977Lelio R Paula02/2017
286010^107976-202103107976Patrick De Geest03/2017
28612^358684+75781107975Enzo Doria04/2016
286299^54094+2107952Lelio R Paula06/2013
2863(2^358583-9)/391107942Lelio R Paula12/2013
28642^358538+55107931Lelio R Paula12/2011
28652^358517-109009107925Enzo Doria03/2014
28663^226159+104107906Lelio R Paula03/2017
28672^358310-11655107863Lelio R Paula03/2017
28682^358275-112987107852Enzo Doria07/2014
28692^358233-20005107839Enzo Doria06/2013
28702^358194+175107828Lelio R Paula12/2011
2871107^53125-106107812Norbert Schneider12/2016
28723^225922-2107793Lelio R Paula10/2013
287312^99874-95107783Lelio R Paula03/2017
28742^358030-171107778Lelio R Paula12/2011
287511^103488-4170107772Enzo Doria12/2012
28762^357930-4547107748Yves Minet03/2019
28772^357911-20089107742Enzo Doria06/2013
28782^357885+12857107735Yves Minet07/2010
28797^127473+40107728Lelio R Paula03/2017
28805*2^357850+9107725Lelio R Paula09/2014
28812^357786-291191107705Enzo Doria06/2015
288218^85798-23107700Lelio R Paula04/2017
2883(14*10^107694-83)/3107695Robert Price12/2018
28842^357688-1854269107675Enzo Doria09/2015
28852^357671-112225107670Enzo Doria06/2014
28862^357618-21005107654Enzo Doria06/2013
28872^357615-17505107653Enzo Doria05/2013
2888(30^72871-1)/29107638Robert Price12/2011
28892^357521+1870217107625Enzo Doria05/2016
28902^357477-1203107612Lelio R Paula03/2017
28915^153894-18107568Lelio R Paula02/2017
28922^357324-69059107566Enzo Doria11/2015
2893467^40296+40296^467107563Norbert Schneider03/2019
28942^357283-869688105107553Lelio R Paula01/2017
28952^357280-16805107552Enzo Doria05/2013
289610^107547+481719107548Patrick De Geest03/2017
289710^107547-47107547Lelio R Paula02/2017
289817^87396-32107537Lelio R Paula04/2017
28992^357081+107107493Lelio R Paula12/2011
29002^357058-3911107486Yves Minet04/2017
29013^225274+64107484Lelio R Paula03/2017
290218^85619-95107476Lelio R Paula04/2017
29033^225248-130107471Lelio R Paula03/2017
2904(5*2^356961+1)/143107455Lelio R Paula03/2014
29052^356935-18085107449Enzo Doria05/2013
290610^107409+37107410Lelio R Paula02/2017
290710^107409-329633107409Patrick De Geest03/2017
29082^356787-109027107404Enzo Doria04/2014
2909(2^356767+78557)/5107397Lelio R Paula12/2013
29103*10^107389+77107390Robert Price09/2018
29115^153622-42107378Lelio R Paula02/2017
29122^356699-97305107378Lelio R Paula03/2017
29132^356654+85107364Lelio R Paula11/2011
29142^356641-19921107360Enzo Doria06/2013
29152^356623-465107355Lelio R Paula03/2017
291619^83945-92107345Lelio R Paula02/2017
291710^107334+28149107335Patrick De Geest03/2017
291810^107334-83107334Lelio R Paula02/2017
29192^356518+885107323Lelio R Paula03/2017
2920(3*2^356506-1)/467107317Lelio R Paula03/2014
29212^356442-114713107300Enzo Doria04/2015
29222^356425+72257107295Enzo Doria04/2016
29232^356351-112237107273Enzo Doria06/2014
2924(6^137845-11)/5107264Paul Bourdelais11/2011
29252^356322+74539107264Enzo Doria04/2016
29262^356274+1874479107250Enzo Doria06/2016
292720^82422-93107234Lelio R Paula02/2017
29282^356157-20365107214Enzo Doria06/2013
29292^356129-18949107206Enzo Doria05/2013
29302^356100-109587107197Enzo Doria04/2014
2931(31*2^355970+1)/5107159Lelio R Paula03/2014
29322^355968-64875107158Lelio R Paula01/2017
29332^355952+1870321107153Enzo Doria05/2016
29342^355915-117107142Lelio R Paula11/2011
2935(16*10^107140+77)/3107141Robert Price03/2019
2936(19*2^355838-1)/15107119Lelio R Paula03/2014
29373^224495-8107112Lelio R Paula12/2013
29387^126691-44107067Lelio R Paula03/2017
29394^177830-8243107065Mike Oakes02/2011
29402^355524-21237107024Enzo Doria06/2013
2941(10223*2^355515+1)/4855107022Lelio R Paula07/2014
29422^355494-19901107015Enzo Doria06/2013
29432^355454-869688105107003Lelio R Paula01/2017
29442^355366+54615106976Lelio R Paula01/2017
2945(31*2^355346-1)/1563106969Lelio R Paula03/2014
29462^355275-19861106949Enzo Doria06/2013
2947(9179*2^355234-1)/1915106937Lelio R Paula05/2015
29484*10^106892-3106893Robert Price10/2015
2949(66^58741+1)/67106881Paul Bourdelais08/2017
29502^354946-3106850M. Frind & P. Underwood08/2002
29512^354873-18693106828Enzo Doria05/2013
29522^354828+4257106814Lelio R Paula01/2017
2953436^40459+40459^436106791Norbert Schneider03/2019
2954(21^80761+1)/22106783Paul Bourdelais03/2010
29552^354640-354640+1106758Robert Price10/2014
29562^354585+95106741Lelio R Paula10/2011
29572^354553+189106732Lelio R Paula10/2011
29582^354514-109031106720Enzo Doria04/2014
29592^354509-109465106718Enzo Doria04/2014
2960(15*2^354478-1)/26983106706Lelio R Paula03/2014
296115^90710+28106684Lelio R Paula04/2017
29627^126237+34106683Lelio R Paula03/2017
29632^354385-115315106681Enzo Doria06/2015
29642^354327-19305106664Enzo Doria06/2013
2965(35*10^106649+1)/9106650Serge Batalov11/2010
296610^106636+97106637Lelio R Paula02/2017
296710^106636-22923106636Patrick De Geest03/2017
29682^354220-57106631Lelio R Paula10/2011
29692^354157-17041106612Enzo Doria05/2013
297012^98778+73106600Lelio R Paula02/2017
29712^354064+1870651106584Enzo Doria05/2016
29722^353992-57106563Lelio R Paula10/2011
2973NSW(139160)106535Robert Price12/2018
2974(7*10^106516+113)/3106517Robert Price02/2018
29752^353832-1853849106515Enzo Doria09/2015
2976(7^126037-1)/6106513Paul Bourdelais09/2008
29772^353794-18453106503Enzo Doria05/2013
29782^353728+7695106483Lelio R Paula01/2017
29792^353672-303106466Yves Minet02/2012
29806^136811+101106460Lelio R Paula02/2017
29812^353641+1871981106457Enzo Doria05/2016
2982(8*10^106454-29)/3106455Robert Price07/2018
29832^353553+54615106431Lelio R Paula01/2017
29842^353544-18897106428Enzo Doria05/2013
29856^136729-133106396Lelio R Paula02/2017
29862^353418+1605106390Lelio R Paula01/2017
29872^353387+65106381Lelio R Paula10/2011
29882^353372+74311106376Enzo Doria04/2016
29892^353344-3693106368Yves Minet03/2017
29902^353277-20089106347Enzo Doria06/2013
29912^353275+72173106347Enzo Doria04/2016
29922^353268-17705106345Enzo Doria05/2013
29932^353267-19857106344Enzo Doria06/2013
2994(46*10^106343+143)/9106344Robert Price01/2019
2995222748^3+3^222748106278Anatoly F. Selevich12/2010
2996(9179*2^353019-1)/9106273Lelio R Paula05/2015
29972^353025+72257106272Enzo Doria04/2016
29992^352932-20345106244Enzo Doria06/2013
2998(2^353011-3)/745325861246794515484535106244Lelio R Paula12/2013
30002^352883-187106229Lelio R Paula10/2011


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: April, 20 2019 09:21 (Time in France)

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