PRP Records

Probable Primes Top 10000

(290751 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 ?
100130^146021-29^146021215691Jean-Louis Charton09/2018
1002277^88301-276^88301215674Jean-Louis Charton06/2012
1003227^91413-40215372Enzo Doria04/2015
10042^714717+782897215152Enzo Doria11/2016
1005tau(373^15186)214796Nik Lygeros / Olivier Rozier / LR team10/2013
10062^713241+1879157214707Enzo Doria08/2016
100711^206081-10^206081214612Jean-Louis Charton10/2011
10082^712801-69553214575Enzo Doria01/2016
10092^712603-25357214515Enzo Doria09/2013
10102^711721-1846723214250Enzo Doria07/2015
10112^710730-396765213952Enzo Doria09/2013
10122^708468-114329213271Enzo Doria02/2015
1013(163*10^212779-1)/9212781Serge Batalov12/2014
10142^706838-69041212780Enzo Doria11/2015
10152^704577-113871212099Enzo Doria10/2014
10162^704110-2792441211959Enzo Doria02/2016
10172^703943-1862947211908Enzo Doria12/2015
1018(60^119083+1)/61211746Paul Bourdelais10/2018
1019(10^211610-91)/9211610Serge Batalov12/2014
1020227^89797+2211565Lelio R Paula08/2012
10212^702194-3211382Paul Bourdelais03/2012
10222^702064+1874911211343Enzo Doria07/2016
10232^701968-113873211314Enzo Doria10/2014
10242^701713-113779211237Enzo Doria09/2014
10252^701449-25201211158Enzo Doria09/2013
10262^701403-2786977211144Enzo Doria11/2015
10272^701189-25423211079Enzo Doria09/2013
10282^701162-459161211071Enzo Doria05/2015
1029(24^152783-1)/23210872Paul Bourdelais04/2018
10302^700400+9385210842Lelio R Paula01/2014
10312^700131+1874693210761Enzo Doria06/2016
1032(2^700095+225414)/2210750Stefano Morozzi04/2020
1033(2^700090+278254)/2210748Stefano Morozzi04/2020
1034(2^700075+303666)/2210744Stefano Morozzi04/2020
1035(2^700073+75882)/2210743Stefano Morozzi04/2020
1036(2^700074+328890)/2210743Stefano Morozzi04/2020
1037(2^700052+79162)/2210737Stefano Morozzi04/2020
1038(2^700052+304458)/2210737Stefano Morozzi04/2020
1039(2^700048+376578)/2210736Stefano Morozzi04/2020
104011^202357-1140210734Enzo Doria12/2012
1041(2^700021+25874)/2210728Stefano Morozzi04/2020
1042(2^700018+377518)/2210727Stefano Morozzi04/2020
10432^699740+25210643Stefano Morozzi05/2021
10442^698929-2788423210399Enzo Doria11/2015
1045(5^300893+4^300893)/9210315Jean-Louis Charton11/2011
10462^698316+1878601210215Enzo Doria08/2016
10472^697036+1878751209829Enzo Doria08/2016
10486^269407+5209640Paul Bourdelais02/2021
1049(2^696343-1)/11141489/36009913139329209600Tony Prest / Never Odd Or Even02/2014
10502^696254-115151209594Enzo Doria06/2015
1051(35^135623+1)/36209410Paul Bourdelais07/2018
10522^694633+1887257209106Enzo Doria05/2017
10532^693959+180923208903Enzo Doria07/2016
10542^693462-1847561208753Enzo Doria07/2015
10552^690890-59981207979Enzo Doria11/2015
1056(38^131591+1)/39207884Paul Bourdelais07/2018
10572^690163+1877063207760Enzo Doria07/2016
10587^245608-2207563Paul Bourdelais01/2021
10592^689286-29381207496Enzo Doria08/2015
10602^689122-114521207447Enzo Doria04/2015
10612^688373+6077207221Enzo Doria02/2016
10622^688201+1875527207170Enzo Doria07/2016
1063(42^127609+1)/43207140Paul Bourdelais07/2018
10642^687619+81563206994Enzo Doria08/2016
10652^686572-1845299206679Enzo Doria07/2015
1066(21^156217-1)/20206552Paul Bourdelais04/2010
1067(2^685739+1)/(3*87774593)206420Gord Palameta08/2018
10682^685578+3206380Paul Bourdelais04/2012
10692^684836-49349206157Enzo Doria10/2015
1070(73^110603-1)/72206088Paul Bourdelais06/2018
10712^684163-2790967205954Enzo Doria12/2015
1072326^81943-325^81943205941Jean-Louis Charton07/2012
1073(2^684127-1)/23765203727205933Jens K. Andersen04/2009
10744^341233-3^341233205443Jean-Louis Charton01/2006
10752^681545+467205166Lelio R Paula11/2013
10762^681306+81049205094Enzo Doria07/2016
10772^680697+1877057204911Enzo Doria07/2016
10782^680415+71783204826Enzo Doria04/2016
10792^679860-459995204659Enzo Doria06/2015
10802^679593+1879547204578Enzo Doria09/2016
10812^678651+1875023204295Enzo Doria07/2016
10822^678561+678561204268Henri Lifchitz05/2006
10832^678101-114043204129Enzo Doria11/2014
10842^678028+1875631204107Enzo Doria06/2016
10852^676992-59783203795Enzo Doria10/2015
10862^676972+1866871203789Enzo Doria03/2016
10872^676761-9203726Robert Price01/2017
10882^676563-2792407203666Enzo Doria02/2016
10892^676306-114713203589Enzo Doria04/2015
1090(2^675977-1)/(1686378749257*7171117283326998925471)203456Dario Alpern07/2015
109110247^50678-50678^10247203250Norbert Schneider03/2022
10922^674627-25161203083Enzo Doria09/2013
10932^674603-69337203076Enzo Doria12/2015
10942^674459+74213203033Enzo Doria04/2016
10952^674116-458879202930Enzo Doria04/2015
10962^674076-114755202918Enzo Doria04/2015
10975^289937-4^289937202658Jean-Louis Charton03/2013
1098(467617#+14534)/(2^2*13*43)202603Makoto Morimoto06/2019
10992^672556-1835519202460Enzo Doria04/2015
11002^671446-351401202126Enzo Doria07/2015
11012^671373+77747202104Enzo Doria05/2016
11022^670726-114845201909Enzo Doria05/2015
11032^670539-25045201853Enzo Doria09/2013
110443284^43519-43519^43284201769Norbert Schneider08/2018
11052^670213+282317201755Enzo Doria09/2016
11062^670133+89201731Stefano Morozzi05/2021
11072^669854-113501201647Enzo Doria08/2014
11082^669718+81619201606Enzo Doria08/2016
1109(145*10^201504-1)/9201506Serge Batalov12/2014
11102^668938-1839821201371Enzo Doria06/2015
11112^668492+1879303201237Enzo Doria08/2016
11126^258413-5^258413201085Jean-Louis Charton03/2013
111310194^50161-50161^10194201063Norbert Schneider09/2020
11142^667894+1875589201057Enzo Doria06/2016
11152^667569-1836559200959Enzo Doria05/2015
1116(172*10^200746-1)/9200748Serge Batalov12/2014
11172^666430+782569200616Enzo Doria10/2016
1118(86^103471+1)/87200163Paul Bourdelais05/2018
1119103*(10^100000+20110)^2-4707*(10^100000+20110)+50383200003Robert Price05/2017
1120103*(10^100000+33798)^2-4707*(10^100000+33798)+50383200003Robert Price01/2018
1121numbpart(32235776596)200002Serge Batalov04/2017
1122(10^200001+149)/3200001Serge Batalov12/2014
112310^200000+571791200001Patrick De Geest08/2019
1124(3^419180-621444)/3200000Stefano Morozzi06/2019
1125(3^419180-1941384)/3200000Stefano Morozzi08/2019
112610^200000-45557200000Patrick De Geest08/2019
1127(10^200000-1)/9-10^58838200000Akihiko Yoshida04/2020
112892*10^199980-9199982Robert Price12/2021
1129(85*10^199951-139)/9199952Robert Price08/2021
1130(10^199926+7)/29/373/2339199919Alfred Reich08/2021
113123*10^199833-9199835Robert Price10/2021
1132(299*10^199801-17)/3199803Robert Price04/2020
11336*10^199788+77199789Robert Price06/2020
1134(23*10^199615+37)/3199616Robert Price02/2022
1135(17*10^199607-167)/3199608Robert Price05/2022
11362^663020-933075199589Paul Bourdelais06/2021
1137(14*10^199447+73)/3199448Robert Price12/2018
11382^662103-29287199313Enzo Doria08/2015
1139(2*10^199283+457)/9199283Robert Price01/2018
1140(10^199248-19)/9199248Robert Price01/2018
1141(83*10^199213+529)/9199214Robert Price12/2021
1142(194*10^199146-17)/3199148Robert Price09/2020
1143(151*10^199003-1)/3199005Robert Price03/2020
11449*10^198946-73198947Robert Price01/2021
114545*10^198931-7198933Robert Price07/2020
11462^660482-2891198825Yves Minet05/2016
11472^659583+1879223198555Enzo Doria08/2016
1148(53*10^198529+1)/9198530Serge Batalov07/2010
1149(49*10^198403+311)/9198404Robert Price06/2019
115096*10^198376-7198378Robert Price03/2021
1151(10^198375+7)/59/1201/87589198366Alfred Reich08/2021
11522^658828-29819198327Enzo Doria08/2015
11532^658776-2791229198312Enzo Doria01/2016
1154(35*10^198294-377)/9198295Robert Price07/2018
1155(4*10^198268+137)/3198269Robert Price03/2018
11562^658544-1854029198242Enzo Doria09/2015
1157(62*10^198229-233)/9198230Robert Price02/2022
1158(26*10^198200-41)/3198201Robert Price02/2022
1159(157^90239-1)/156198154Alexander Zhirkov06/2016
11602*10^197959-37197960Robert Price11/2021
1161(232*10^197897+17)/3197899Robert Price04/2021
1162(4*10^197778+173)/3197779Robert Price02/2018
116378*10^197702-7197704Robert Price10/2020
1164(17*10^197640-23)/3197641Robert Price03/2021
1165(29*10^197629-77)/3197630Robert Price02/2020
11662^656462+1874419197615Enzo Doria06/2016
1167(89^101363+1)/90197595Paul Bourdelais11/2017
11682^655893-344563197444Enzo Doria07/2015
11692^655875+71333197439Enzo Doria04/2016
11702^655845-9197430Robert Price01/2017
1171(299*10^197426+1)/3197428Robert Price04/2020
11722^655682-1849121197380Enzo Doria08/2015
11734*10^197268-89197269Robert Price11/2018
1174(11*10^197198-89)/3197199Robert Price05/2021
11752^655045-49603197189Enzo Doria10/2015
11762^655000-2784089197175Enzo Doria10/2015
1177(18^157051-1)/17197141Paul Bourdelais03/2010
1178(154*10^197005+17)/9197007Robert Price06/2022
11792^654400-39719196995Enzo Doria09/2015
1180(14*10^196965-221)/9196966Robert Price04/2018
11812^654216-459995196939Enzo Doria06/2015
1182(17*10^196921+31)/3196922Robert Price01/2019
1183(14*10^196885-89)/3196886Robert Price05/2020
11843*10^196881-59196882Robert Price09/2018
11852^653851+82295196829Enzo Doria09/2016
1186(38*10^196792+691)/9196793Robert Price10/2018
1187(65*10^196768+493)/9196769Robert Price08/2021
11882^653636-29429196765Enzo Doria08/2015
11892^653601-69673196754Enzo Doria02/2016
1190(44*10^196684+1)/9196685Serge Batalov07/2010
11912^652786-1852571196509Enzo Doria08/2015
11922^652752-1325196498Yves Minet07/2015
11932^652470-1859141196414Enzo Doria10/2015
11942^652307+1877483196364Enzo Doria08/2016
11952^652293-115273196360Enzo Doria06/2015
1196(47*10^196281+403)/9196282Robert Price03/2019
1197(7*10^196125-31)/3196126Robert Price12/2021
11986*10^196070+73196071Robert Price04/2019
11992^651218-1868201196037Enzo Doria04/2016
12002^651047-49687195985Enzo Doria10/2015
120110^195968-700001195968Robert Price08/2021
1202(29*10^195875-197)/3195876Robert Price08/2021
1203(25*10^195808-97)/9195809Robert Price01/2022
12042^650285-2785333195756Enzo Doria10/2015
1205(10^195732+7)/18089/49605893195721Alfred Reich08/2021
1206(69^106397-1)/68195647Paul Bourdelais10/2017
12072^649811+1877573195613Enzo Doria08/2016
12082^649662-170531195568Hans Havermann10/2018
12092^649586+182839195545Enzo Doria11/2016
12102^649537-1867363195531Enzo Doria04/2016
12112^649536-1861499195530Enzo Doria12/2015
1212(103*10^195478-1)/3195480Serge Batalov12/2014
12132^649102-59351195400Enzo Doria10/2015
1214(2*10^195399+529)/9195399Robert Price01/2018
1215(202*10^195383-13)/9195385Robert Price01/2020
12162^648988+1178971195365Enzo Doria06/2016
12172^648975-114319195361Enzo Doria02/2015
1218(11*10^195350-137)/9195351Robert Price01/2018
12192^648619-24835195254Enzo Doria09/2013
12205*10^195250-21195251Robert Price12/2021
1221(14*10^195234-83)/3195235Robert Price12/2018
12225*10^195221+81195222Robert Price03/2019
122310^195143-5001195143Robert Price12/2021
12242^648190-24737195125Enzo Doria09/2013
1225(57^111119+1)/58195110Paul Bourdelais10/2017
1226(29*10^195098-197)/3195099Robert Price08/2021
122710^195060+89701195061Patrick De Geest02/2021
122910^195060-40000000001195060Robert Price09/2020
122810^195060-110337195060Patrick De Geest02/2021
123056*10^195032-3195034Robert Price03/2020
123111^187185-90194934Enzo Doria09/2012
1232(86*10^194818-437)/9194819Robert Price03/2021
12332^647068+77281194787Enzo Doria05/2016
12342*10^194716-93194717Robert Price12/2021
123515^165559-14^165559194713Jean-Louis Charton03/2011
1236F(931517)194676Henri Lifchitz09/2008
12374*10^194668+49194669Robert Price01/2019
12382^646589+1179407194643Enzo Doria06/2016
12392^646289-114621194553Enzo Doria05/2015
12402^646236-39659194537Enzo Doria09/2015
1241(16*10^194536+53)/3194537Robert Price03/2019
12422^646161-59833194514Enzo Doria11/2015
1243(17*10^194502+31)/3194503Robert Price01/2019
1244(19*10^194428+287)/9194429Robert Price10/2021
12452*10^194413+3194414Robert Price07/2015
12462^645360-1848599194273Enzo Doria08/2015
1247(112*10^194150-1)/3194152Serge Batalov12/2014
12482*10^193981-43193982Robert Price04/2018
12492^644382+75169193979Enzo Doria04/2016
12502^644304-1861409193955Enzo Doria11/2015


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: June, 23 2022 21:24 (Time in France)

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