PRP Records

Probable Primes Top 10000

(280928 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 ?
1001(18^157051-1)/17197141Paul Bourdelais03/2010
10022^654400-39719196995Enzo Doria09/2015
1003(14*10^196965-221)/9196966Robert Price04/2018
10042^654216-459995196939Enzo Doria06/2015
1005(17*10^196921+31)/3196922Robert Price01/2019
1006(14*10^196885-89)/3196886Robert Price05/2020
10073*10^196881-59196882Robert Price09/2018
10082^653851+82295196829Enzo Doria09/2016
1009(38*10^196792+691)/9196793Robert Price10/2018
10102^653636-29429196765Enzo Doria08/2015
10112^653601-69673196754Enzo Doria02/2016
1012(44*10^196684+1)/9196685Serge Batalov07/2010
10132^652786-1852571196509Enzo Doria08/2015
10142^652752-1325196498Yves Minet07/2015
10152^652470-1859141196414Enzo Doria10/2015
10162^652307+1877483196364Enzo Doria08/2016
10172^652293-115273196360Enzo Doria06/2015
1018(47*10^196281+403)/9196282Robert Price03/2019
10196*10^196070+73196071Robert Price04/2019
10202^651218-1868201196037Enzo Doria04/2016
10212^651047-49687195985Enzo Doria10/2015
10222^650285-2785333195756Enzo Doria10/2015
1023(69^106397-1)/68195647Paul Bourdelais10/2017
10242^649811+1877573195613Enzo Doria08/2016
10252^649662-170531195568Hans Havermann10/2018
10262^649586+182839195545Enzo Doria11/2016
10272^649537-1867363195531Enzo Doria04/2016
10282^649536-1861499195530Enzo Doria12/2015
1029(103*10^195478-1)/3195480Serge Batalov12/2014
10302^649102-59351195400Enzo Doria10/2015
1031(2*10^195399+529)/9195399Robert Price01/2018
1032(202*10^195383-13)/9195385Robert Price01/2020
10332^648988+1178971195365Enzo Doria06/2016
10342^648975-114319195361Enzo Doria02/2015
1035(11*10^195350-137)/9195351Robert Price01/2018
10362^648619-24835195254Enzo Doria09/2013
1037(14*10^195234-83)/3195235Robert Price12/2018
10385*10^195221+81195222Robert Price03/2019
10392^648190-24737195125Enzo Doria09/2013
1040(57^111119+1)/58195110Paul Bourdelais10/2017
104110^195060+89701195061Patrick De Geest02/2021
104310^195060-40000000001195060Robert Price09/2020
104210^195060-110337195060Patrick De Geest02/2021
104456*10^195032-3195034Robert Price03/2020
104511^187185-90194934Enzo Doria09/2012
1046(86*10^194818-437)/9194819Robert Price03/2021
10472^647068+77281194787Enzo Doria05/2016
104815^165559-14^165559194713Jean-Louis Charton03/2011
1049F(931517)194676Henri Lifchitz09/2008
10504*10^194668+49194669Robert Price01/2019
10512^646589+1179407194643Enzo Doria06/2016
10522^646289-114621194553Enzo Doria05/2015
10532^646236-39659194537Enzo Doria09/2015
1054(16*10^194536+53)/3194537Robert Price03/2019
10552^646161-59833194514Enzo Doria11/2015
1056(17*10^194502+31)/3194503Robert Price01/2019
10572*10^194413+3194414Robert Price07/2015
10582^645360-1848599194273Enzo Doria08/2015
1059(112*10^194150-1)/3194152Serge Batalov12/2014
10602*10^193981-43193982Robert Price04/2018
10612^644382+75169193979Enzo Doria04/2016
10622^644304-1861409193955Enzo Doria11/2015
10635*10^193907-9193908Robert Price05/2015
10642^644043+1876703193877Enzo Doria07/2016
10652^643735+1879733193784Enzo Doria09/2016
1066(5^277183+1)/6193742Paul Bourdelais07/2010
10679*10^193712+71193713Robert Price08/2020
10682^643216-286565193628Enzo Doria07/2015
10692^642888-24965193529Enzo Doria09/2013
10702^642448-114825193397Enzo Doria05/2015
10712^642437-1856623193393Enzo Doria10/2015
10722^642039-59797193273Enzo Doria11/2015
107310^193230+513861193231Patrick De Geest07/2018
107410^193230-8001193230Robert Price03/2018
10752^641692-286349193169Enzo Doria07/2015
10762^641690-24737193168Enzo Doria09/2013
10772^641514+1876549193115Enzo Doria07/2016
10782^640888-2785619192927Enzo Doria10/2015
10792^640874-2783741192923Enzo Doria09/2015
108034*10^192868-9192870Robert Price06/2020
1081(46*10^192841+683)/9192842Robert Price03/2019
10822^640181+467192714Lelio R Paula08/2013
10832^639536-1850249192520Enzo Doria08/2015
108440714<>40712<>...<>1086421357911<>...<>40711<>40713192464Hans Havermann12/2019
10855*10^192422-43192423Robert Price01/2019
10862^639110-2792441192392Enzo Doria02/2016
10872^638955-29827192345Enzo Doria08/2015
10882^638713-2784223192272Enzo Doria10/2015
10892^638490-113507192205Enzo Doria08/2014
10902^638189-39943192115Enzo Doria09/2015
10912^638110+1877119192091Enzo Doria07/2016
10922^638066-2785211192078Enzo Doria10/2015
1093(112*10^191900+17)/3191902Robert Price03/2020
10942^637475-115309191900Enzo Doria07/2015
1095(68*10^191754-113)/9191755Robert Price03/2021
10962^636661+1876577191655Enzo Doria07/2016
1097(34^125101-1)/33191589Paul Bourdelais11/2017
10982^636177-1855123191509Enzo Doria09/2015
10992^636158-113627191503Enzo Doria08/2014
1100(37*25^136966+63)/4191472Curtis Bright05/2015
11012^636035+79823191466Enzo Doria06/2016
11022^636011-1860847191459Enzo Doria11/2015
11032^635926-1860611191433Enzo Doria11/2015
11043*10^191152-7191153Robert Price08/2015
11052^634883-1865677191119Enzo Doria02/2016
11062^634801+1871957191095Enzo Doria05/2016
1107(35*10^191073+1)/9191074Serge Batalov07/2010
11089*10^191018-41191019Robert Price08/2020
11092^634470-59861190995Enzo Doria11/2015
11102^634368-29519190964Enzo Doria08/2015
11112^634188-350609190910Enzo Doria06/2015
1112(26*10^190789-131)/3190790Robert Price10/2019
1113(13*10^190732-61)/3190733Robert Price11/2018
1114(7*10^190683+143)/3190684Robert Price03/2018
11152^633088-113879190579Enzo Doria10/2014
11162^633064+1874911190572Enzo Doria06/2016
1117(43*10^190547+83)/9190548Robert Price11/2018
1118(299*10^190533+1)/3190535Robert Price04/2020
1119(1744*10^190519-1747)/3190522Robert Price12/2020
11202^632795-351205190491Enzo Doria06/2015
1121(16*10^190420-19)/3190421Robert Price02/2019
1122(43*10^190351+101)/9190352Robert Price11/2018
11232^632156+78391190298Enzo Doria06/2016
112497*10^190295-3190297Robert Price05/2020
11252^632082-1851971190276Enzo Doria08/2015
11262^632020+1880311190257Enzo Doria09/2016
11277*10^190210+13190211Robert Price03/2021
11282^631637-462373190142Enzo Doria08/2015
11292*10^190126-21190127Robert Price09/2020
1130(28*10^190105+191)/3190106Robert Price02/2020
1131(68*10^190053-113)/9190054Robert Price03/2021
11322^631122-39251189987Enzo Doria08/2015
1133(26*10^189928-89)/9189929Robert Price06/2018
11342^630839-97189902Yves Minet07/2017
113599*10^189876-7189878Robert Price07/2020
11362^630359+1788953189757Enzo Doria05/2016
11372^630228+1871971189718Enzo Doria05/2016
11382^630108+781189682Lelio R Paula08/2013
11392^629870-1867811189610Enzo Doria04/2016
1140(359^74189-1)/358189558Alexander Zhirkov11/2017
11412^629326+2792929189447Enzo Doria02/2016
11424*10^189401+13189402Robert Price02/2021
1143(10^189385-61)/3189385Serge Batalov12/2014
11442^629036+1874011189359Enzo Doria06/2016
11452^628930+80779189327Enzo Doria07/2016
11462^628582+1179439189223Enzo Doria06/2016
1147(44*10^188999-503)/9189000Robert Price12/2018
1148(16*10^188823+167)/3188824Robert Price06/2019
11492^627037-2785843188757Enzo Doria10/2015
1150(16*10^188457+161)/3188458Robert Price02/2019
1151L(901657)188436Renaud Lifchitz11/2008
11522^625651+74213188340Enzo Doria04/2016
11532^625584-460919188320Enzo Doria06/2015
1154(10^188164+359)/9188164Serge Batalov12/2014
11552^624481-113611187988Enzo Doria08/2014
1156(2^624389+125582)/2187960Stefano Morozzi09/2019
1157(2^624389+166982)/2187960Stefano Morozzi09/2019
1158(2^624389+179886)/2187960Stefano Morozzi09/2019
1159(2^624387+64466)/2187959Stefano Morozzi09/2019
1160(2^624378+112990)/2187957Stefano Morozzi09/2019
1161(2^624380+161986)/2187957Stefano Morozzi09/2019
1163(2^624376+55762)/2187956Stefano Morozzi09/2019
1162(2^624377+169506)/2187956Stefano Morozzi09/2019
1164(2^624355+80178)/2187950Stefano Morozzi09/2019
1165(2^624351+61350)/2187949Stefano Morozzi09/2019
1166(2^624341+63462)/2187946Stefano Morozzi09/2019
1167(2^624344+135990)/2187946Stefano Morozzi09/2019
1168(2^624344+183898)/2187946Stefano Morozzi09/2019
1170(2^624340+126982)/2187945Stefano Morozzi09/2019
1169(2^624338+196110)/2187945Stefano Morozzi09/2019
1171(2^624337+105162)/2187944Stefano Morozzi09/2019
1172(2^624333+44594)/2187943Stefano Morozzi09/2019
1173(2^624321+88742)/2187940Stefano Morozzi09/2019
1174(2^624324+135178)/2187940Stefano Morozzi09/2019
1175(2^624317+14186)/2187938Stefano Morozzi09/2019
1176(2^624313+24450)/2187937Stefano Morozzi09/2019
1177(2^624309+184590)/2187936Stefano Morozzi09/2019
1179(2^624307+152658)/2187935Stefano Morozzi09/2019
1178(2^624307+185978)/2187935Stefano Morozzi09/2019
1180(2^624303+40814)/2187934Stefano Morozzi09/2019
1181(2^624304+99238)/2187934Stefano Morozzi09/2019
11822^624077-112723187866Enzo Doria07/2014
11832^624008+1874941187846Enzo Doria06/2016
11842^623870+78679187804Enzo Doria05/2016
11852^623714-114035187757Enzo Doria11/2014
11862^623651-1834251187738Enzo Doria07/2015
1187(7*10^187645+53)/3187646Robert Price05/2018
11882^623146+1879609187586Enzo Doria09/2016
1189(5*10^187471+91)/3187472Robert Price04/2018
11902^622500+81931187392Enzo Doria08/2016
11912^622300-1861739187331Enzo Doria12/2015
1192(38*10^187281+349)/9187282Robert Price10/2018
11932^622052+76771187257Enzo Doria05/2016
11942^622005-24091187243Enzo Doria08/2013
11957*10^187205-57187206Robert Price06/2020
11962^621879-351787187205Enzo Doria07/2015
1197(5*10^187168-53)/3187169Robert Price09/2020
1198(23*10^187164-143)/3187165Robert Price12/2019
11992^621700+79411187151Enzo Doria06/2016
1200(7*10^187101+131)/3187102Robert Price06/2020
1201(2*10^187062-71)/3187062Robert Price12/2017
12022^620929-113203186919Enzo Doria07/2014
120310^186842+168223186843Patrick De Geest07/2018
120410^186842-8001186842Robert Price03/2018
12052^620347-1777186744Lelio R Paula07/2013
120611^179143-4170186559Enzo Doria12/2012
1207(5^266863+1)/6186529Paul Bourdelais07/2010
12082^619297-2792353186427Enzo Doria02/2016
1209(49*10^186409+383)/9186410Robert Price04/2019
12102^618940-460139186320Enzo Doria06/2015
12112^618046+74179186051Enzo Doria04/2016
12123*10^186019+11186020Robert Price07/2018
1213(16*10^185978-19)/3185979Robert Price02/2019
12142*10^185930-3185931Robert Price07/2015
1215(82^97151+1)/83185928Paul Bourdelais10/2017
12164*10^185905+91185906Robert Price08/2018
1217(19*10^185873+131)/3185874Robert Price06/2020
1218(37*10^185811+377)/9185812Robert Price11/2018
12192^617250+9385185811Lelio R Paula07/2013
122039^116749+2185756Robert Price04/2015
12212^616924-39719185713Enzo Doria09/2015
12222^616712+1867621185649Enzo Doria04/2016
1223(3^388897+2^388897)/5185551Jean-Louis Charton09/2011
12248*10^185529-67185530Robert Price08/2019
12254*10^185355+9185356Robert Price05/2015
1226(16*10^185347+89)/3185348Robert Price03/2021
12272^615622+76639185321Enzo Doria05/2016
12282^615591+1879223185312Enzo Doria08/2016
12292^615503+1876643185285Enzo Doria07/2016
12305^265007-4^265007185232Jean-Louis Charton02/2013
1232(4*10^185221-91)/3185222Robert Price03/2018
1231(7*10^185221+131)/3185222Robert Price06/2020
1233(232*10^185180+17)/3185182Robert Price04/2021
123456*10^185139-3185141Robert Price03/2020
1235(28*10^185105+47)/3185106Robert Price02/2021
12362^614783-2790097185069Enzo Doria12/2015
12372^614745-29323185057Enzo Doria07/2015
1238(((((((((((2^3+3)^3+30)^3+6)^3+80)^3+12)^3+450)^3+894)^3+3636)^3+70756)^3+97220)^3+66768)^3+300840185052Serge Batalov07/2013
1239(49*10^184993-67)/9184994Robert Price03/2019
1240(14*10^184950+211)/9184951Robert Price04/2018
12412^614315+81353184928Enzo Doria08/2016
12422^614294-1849961184921Enzo Doria08/2015
12432^614266+1877809184913Enzo Doria08/2016
1244(185*10^184878-11)/3184880Robert Price10/2020
12452^613715-1860727184747Enzo Doria11/2015
12462*10^184723+41184724Robert Price05/2018
1247(49*10^184703+293)/9184704Robert Price03/2021
12482^613487-349987184678Enzo Doria07/2015
1249(95^93377+1)/96184672Paul Bourdelais11/2017
125014^161089-161089^14184629Serge Batalov05/2016


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: April, 12 2021 20:10 (Time in France)

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