PRP Records

Probable Primes Top 10000

(277034 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(11*10^195350-137)/9195351Robert Price01/2018
10022^648619-24835195254Enzo Doria09/2013
1003(14*10^195234-83)/3195235Robert Price12/2018
10045*10^195221+81195222Robert Price03/2019
10052^648190-24737195125Enzo Doria09/2013
1006(57^111119+1)/58195110Paul Bourdelais10/2017
100710^195060-40000000001195060Robert Price09/2020
100856*10^195032-3195034Robert Price03/2020
100911^187185-90194934Enzo Doria09/2012
10102^647068+77281194787Enzo Doria05/2016
101115^165559-14^165559194713Jean-Louis Charton03/2011
1012F(931517)194676Henri Lifchitz09/2008
10134*10^194668+49194669Robert Price01/2019
10142^646589+1179407194643Enzo Doria06/2016
10152^646289-114621194553Enzo Doria05/2015
10162^646236-39659194537Enzo Doria09/2015
1017(16*10^194536+53)/3194537Robert Price03/2019
10182^646161-59833194514Enzo Doria11/2015
1019(17*10^194502+31)/3194503Robert Price01/2019
10202*10^194413+3194414Robert Price07/2015
10212^645360-1848599194273Enzo Doria08/2015
1022(112*10^194150-1)/3194152Serge Batalov12/2014
10232*10^193981-43193982Robert Price04/2018
10242^644382+75169193979Enzo Doria04/2016
10252^644304-1861409193955Enzo Doria11/2015
10265*10^193907-9193908Robert Price05/2015
10272^644043+1876703193877Enzo Doria07/2016
10282^643735+1879733193784Enzo Doria09/2016
1029(5^277183+1)/6193742Paul Bourdelais07/2010
10309*10^193712+71193713Robert Price08/2020
10312^643216-286565193628Enzo Doria07/2015
10322^642888-24965193529Enzo Doria09/2013
10332^642448-114825193397Enzo Doria05/2015
10342^642437-1856623193393Enzo Doria10/2015
10352^642039-59797193273Enzo Doria11/2015
103610^193230+513861193231Patrick De Geest07/2018
103710^193230-8001193230Robert Price03/2018
10382^641692-286349193169Enzo Doria07/2015
10392^641690-24737193168Enzo Doria09/2013
10402^641514+1876549193115Enzo Doria07/2016
10412^640888-2785619192927Enzo Doria10/2015
10422^640874-2783741192923Enzo Doria09/2015
104334*10^192868-9192870Robert Price06/2020
1044(46*10^192841+683)/9192842Robert Price03/2019
10452^640181+467192714Lelio R Paula08/2013
10462^639536-1850249192520Enzo Doria08/2015
104740714<>40712<>...<>1086421357911<>...<>40711<>40713192464Hans Havermann12/2019
10485*10^192422-43192423Robert Price01/2019
10492^639110-2792441192392Enzo Doria02/2016
10502^638955-29827192345Enzo Doria08/2015
10512^638713-2784223192272Enzo Doria10/2015
10522^638490-113507192205Enzo Doria08/2014
10532^638189-39943192115Enzo Doria09/2015
10542^638110+1877119192091Enzo Doria07/2016
10552^638066-2785211192078Enzo Doria10/2015
1056(112*10^191900+17)/3191902Robert Price03/2020
10572^637475-115309191900Enzo Doria07/2015
10582^636661+1876577191655Enzo Doria07/2016
1059(34^125101-1)/33191589Paul Bourdelais11/2017
10602^636177-1855123191509Enzo Doria09/2015
10612^636158-113627191503Enzo Doria08/2014
1062(37*25^136966+63)/4191472Curtis Bright05/2015
10632^636035+79823191466Enzo Doria06/2016
10642^636011-1860847191459Enzo Doria11/2015
10652^635926-1860611191433Enzo Doria11/2015
10663*10^191152-7191153Robert Price08/2015
10672^634883-1865677191119Enzo Doria02/2016
10682^634801+1871957191095Enzo Doria05/2016
1069(35*10^191073+1)/9191074Serge Batalov07/2010
10709*10^191018-41191019Robert Price08/2020
10712^634470-59861190995Enzo Doria11/2015
10722^634368-29519190964Enzo Doria08/2015
10732^634188-350609190910Enzo Doria06/2015
1074(26*10^190789-131)/3190790Robert Price10/2019
1075(13*10^190732-61)/3190733Robert Price11/2018
1076(7*10^190683+143)/3190684Robert Price03/2018
10772^633088-113879190579Enzo Doria10/2014
10782^633064+1874911190572Enzo Doria06/2016
1079(43*10^190547+83)/9190548Robert Price11/2018
1080(299*10^190533+1)/3190535Robert Price04/2020
1081(1744*10^190519-1747)/3190522Robert Price12/2020
10822^632795-351205190491Enzo Doria06/2015
1083(16*10^190420-19)/3190421Robert Price02/2019
1084(43*10^190351+101)/9190352Robert Price11/2018
10852^632156+78391190298Enzo Doria06/2016
108697*10^190295-3190297Robert Price05/2020
10872^632082-1851971190276Enzo Doria08/2015
10882^632020+1880311190257Enzo Doria09/2016
10892^631637-462373190142Enzo Doria08/2015
10902*10^190126-21190127Robert Price09/2020
1091(28*10^190105+191)/3190106Robert Price02/2020
10922^631122-39251189987Enzo Doria08/2015
1093(26*10^189928-89)/9189929Robert Price06/2018
10942^630839-97189902Yves Minet07/2017
109599*10^189876-7189878Robert Price07/2020
10962^630359+1788953189757Enzo Doria05/2016
10972^630228+1871971189718Enzo Doria05/2016
10982^630108+781189682Lelio R Paula08/2013
10992^629870-1867811189610Enzo Doria04/2016
1100(359^74189-1)/358189558Alexander Zhirkov11/2017
11012^629326+2792929189447Enzo Doria02/2016
1102(10^189385-61)/3189385Serge Batalov12/2014
11032^629036+1874011189359Enzo Doria06/2016
11042^628930+80779189327Enzo Doria07/2016
11052^628582+1179439189223Enzo Doria06/2016
1106(44*10^188999-503)/9189000Robert Price12/2018
1107(16*10^188823+167)/3188824Robert Price06/2019
11082^627037-2785843188757Enzo Doria10/2015
1109(16*10^188457+161)/3188458Robert Price02/2019
1110L(901657)188436Renaud Lifchitz11/2008
11112^625651+74213188340Enzo Doria04/2016
11122^625584-460919188320Enzo Doria06/2015
1113(10^188164+359)/9188164Serge Batalov12/2014
11142^624481-113611187988Enzo Doria08/2014
1115(2^624389+125582)/2187960Stefano Morozzi09/2019
1116(2^624389+166982)/2187960Stefano Morozzi09/2019
1117(2^624389+179886)/2187960Stefano Morozzi09/2019
1118(2^624387+64466)/2187959Stefano Morozzi09/2019
1119(2^624378+112990)/2187957Stefano Morozzi09/2019
1120(2^624380+161986)/2187957Stefano Morozzi09/2019
1122(2^624376+55762)/2187956Stefano Morozzi09/2019
1121(2^624377+169506)/2187956Stefano Morozzi09/2019
1123(2^624355+80178)/2187950Stefano Morozzi09/2019
1124(2^624351+61350)/2187949Stefano Morozzi09/2019
1125(2^624341+63462)/2187946Stefano Morozzi09/2019
1126(2^624344+135990)/2187946Stefano Morozzi09/2019
1127(2^624344+183898)/2187946Stefano Morozzi09/2019
1129(2^624340+126982)/2187945Stefano Morozzi09/2019
1128(2^624338+196110)/2187945Stefano Morozzi09/2019
1130(2^624337+105162)/2187944Stefano Morozzi09/2019
1131(2^624333+44594)/2187943Stefano Morozzi09/2019
1132(2^624321+88742)/2187940Stefano Morozzi09/2019
1133(2^624324+135178)/2187940Stefano Morozzi09/2019
1134(2^624317+14186)/2187938Stefano Morozzi09/2019
1135(2^624313+24450)/2187937Stefano Morozzi09/2019
1136(2^624309+184590)/2187936Stefano Morozzi09/2019
1138(2^624307+152658)/2187935Stefano Morozzi09/2019
1137(2^624307+185978)/2187935Stefano Morozzi09/2019
1139(2^624303+40814)/2187934Stefano Morozzi09/2019
1140(2^624304+99238)/2187934Stefano Morozzi09/2019
11412^624077-112723187866Enzo Doria07/2014
11422^624008+1874941187846Enzo Doria06/2016
11432^623870+78679187804Enzo Doria05/2016
11442^623714-114035187757Enzo Doria11/2014
11452^623651-1834251187738Enzo Doria07/2015
1146(7*10^187645+53)/3187646Robert Price05/2018
11472^623146+1879609187586Enzo Doria09/2016
1148(5*10^187471+91)/3187472Robert Price04/2018
11492^622500+81931187392Enzo Doria08/2016
11502^622300-1861739187331Enzo Doria12/2015
1151(38*10^187281+349)/9187282Robert Price10/2018
11522^622052+76771187257Enzo Doria05/2016
11532^622005-24091187243Enzo Doria08/2013
11547*10^187205-57187206Robert Price06/2020
11552^621879-351787187205Enzo Doria07/2015
1156(5*10^187168-53)/3187169Robert Price09/2020
1157(23*10^187164-143)/3187165Robert Price12/2019
11582^621700+79411187151Enzo Doria06/2016
1159(7*10^187101+131)/3187102Robert Price06/2020
1160(2*10^187062-71)/3187062Robert Price12/2017
11612^620929-113203186919Enzo Doria07/2014
116210^186842+168223186843Patrick De Geest07/2018
116310^186842-8001186842Robert Price03/2018
11642^620347-1777186744Lelio R Paula07/2013
116511^179143-4170186559Enzo Doria12/2012
1166(5^266863+1)/6186529Paul Bourdelais07/2010
11672^619297-2792353186427Enzo Doria02/2016
1168(49*10^186409+383)/9186410Robert Price04/2019
11692^618940-460139186320Enzo Doria06/2015
11702^618046+74179186051Enzo Doria04/2016
11713*10^186019+11186020Robert Price07/2018
1172(16*10^185978-19)/3185979Robert Price02/2019
11732*10^185930-3185931Robert Price07/2015
1174(82^97151+1)/83185928Paul Bourdelais10/2017
11754*10^185905+91185906Robert Price08/2018
1176(19*10^185873+131)/3185874Robert Price06/2020
1177(37*10^185811+377)/9185812Robert Price11/2018
11782^617250+9385185811Lelio R Paula07/2013
117939^116749+2185756Robert Price04/2015
11802^616924-39719185713Enzo Doria09/2015
11812^616712+1867621185649Enzo Doria04/2016
1182(3^388897+2^388897)/5185551Jean-Louis Charton09/2011
11838*10^185529-67185530Robert Price08/2019
11844*10^185355+9185356Robert Price05/2015
11852^615622+76639185321Enzo Doria05/2016
11862^615591+1879223185312Enzo Doria08/2016
11872^615503+1876643185285Enzo Doria07/2016
11885^265007-4^265007185232Jean-Louis Charton02/2013
1190(4*10^185221-91)/3185222Robert Price03/2018
1189(7*10^185221+131)/3185222Robert Price06/2020
119156*10^185139-3185141Robert Price03/2020
11922^614783-2790097185069Enzo Doria12/2015
11932^614745-29323185057Enzo Doria07/2015
1194(((((((((((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
1195(49*10^184993-67)/9184994Robert Price03/2019
1196(14*10^184950+211)/9184951Robert Price04/2018
11972^614315+81353184928Enzo Doria08/2016
11982^614294-1849961184921Enzo Doria08/2015
11992^614266+1877809184913Enzo Doria08/2016
1200(185*10^184878-11)/3184880Robert Price10/2020
12012^613715-1860727184747Enzo Doria11/2015
12022*10^184723+41184724Robert Price05/2018
12032^613487-349987184678Enzo Doria07/2015
1204(95^93377+1)/96184672Paul Bourdelais11/2017
120514^161089-161089^14184629Serge Batalov05/2016
12062^613033-114621184542Enzo Doria05/2015
1207(9^193247+1)/10184404Paul Bourdelais02/2010
12082^612341-1604809184334Enzo Doria05/2015
1209(2^611999-1)/18464214225958267477777390354183184199Dario Alpern06/2017
1210(14*10^184150+37)/3184151Robert Price12/2018
12112^611731-4837184150Yves Minet08/2018
12123*10^184124-7184125Robert Price08/2015
12132^611628-24537184119Enzo Doria08/2013
12143*10^184110+13184111Robert Price07/2018
12152^611460+71881184068Enzo Doria04/2016
12164*10^184004-63184005Robert Price10/2018
12172^610982-1867301183924Enzo Doria03/2016
12183*10^183872-49183873Robert Price07/2018
12192^610597+1178897183809Enzo Doria05/2016
1220(65*10^183768-29)/9183769Robert Price01/2021
1221(17*10^183764+31)/3183765Robert Price01/2019
1222(28*10^183760-1)/9183761Serge Batalov10/2014
12232^610401+1277183750Lelio R Paula07/2013
12242^610356-1849019183736Enzo Doria08/2015
1225(63^102103+1)/64183717Paul Bourdelais10/2017
122623*10^183710-7183712Robert Price02/2020
1227(2^610289+1)/(3*528882550291)183704Gord Palameta08/2018
1228(4*10^183659+149)/9183659Robert Price04/2018
12292^609846-1834251183582Enzo Doria07/2015
123010^183546-800000001183546Robert Price09/2020
1231(23*10^183477-71)/3183478Robert Price07/2020
123211^176176-240183469Enzo Doria11/2012
1233(41^113749+1)/42183451Paul Bourdelais11/2017
12346*10^183429+53183430Robert Price05/2020
1235(28*10^183403+191)/3183404Robert Price02/2020
1236(101^91463+1)/102183320Paul Bourdelais11/2017
12372^608965-113989183317Enzo Doria10/2014
1238A005165(43592)183312Serge Batalov07/2017
1239(61*10^183294+119)/9183295Robert Price05/2019
12402^608814-461261183272Enzo Doria06/2015
1241(163*10^183227-1)/9183229Serge Batalov12/2014
12422^608541-608541^2183190Henri Lifchitz02/2018
12432^608293+143807183115Enzo Doria10/2016
12442^608164-462419183076Enzo Doria08/2015
12452^607950-1862303183012Enzo Doria12/2015
1246(46*10^182896+683)/9182897Robert Price03/2019
1247(2*10^182787+73)/3182787Robert Price09/2020
12482^607101+1871987182756Enzo Doria05/2016
12492^606869-69175182686Enzo Doria11/2015
1250(23*10^182666-71)/3182667Robert Price07/2020


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: January, 18 2021 19:57 (Time in France)

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