PRP Records

Probable Primes Top 10000

(259919 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 ?
7512^701968-113873211314Enzo Doria10/2014
7522^701713-113779211237Enzo Doria09/2014
7532^701449-25201211158Enzo Doria09/2013
7542^701403-2786977211144Enzo Doria11/2015
7552^701189-25423211079Enzo Doria09/2013
7562^701162-459161211071Enzo Doria05/2015
757(24^152783-1)/23210872Paul Bourdelais04/2018
7582^700400+9385210842Lelio R Paula01/2014
7592^700131+1874693210761Enzo Doria06/2016
76011^202357-1140210734Enzo Doria12/2012
7612^698929-2788423210399Enzo Doria11/2015
762(5^300893+4^300893)/9210315Jean-Louis Charton11/2011
7632^698316+1878601210215Enzo Doria08/2016
7642^697036+1878751209829Enzo Doria08/2016
765(2^696343-1)/11141489/36009913139329209600Tony Prest / Never Odd Or Even02/2014
7662^696254-115151209594Enzo Doria06/2015
767(35^135623+1)/36209410Paul Bourdelais07/2018
7682^694633+1887257209106Enzo Doria05/2017
7692^693959+180923208903Enzo Doria07/2016
7702^693462-1847561208753Enzo Doria07/2015
7712^690890-59981207979Enzo Doria11/2015
772(38^131591+1)/39207884Paul Bourdelais07/2018
7732^690163+1877063207760Enzo Doria07/2016
7742^689286-29381207496Enzo Doria08/2015
7752^689122-114521207447Enzo Doria04/2015
7762^688373+6077207221Enzo Doria02/2016
7772^688201+1875527207170Enzo Doria07/2016
778(42^127609+1)/43207140Paul Bourdelais07/2018
7792^687619+81563206994Enzo Doria08/2016
7802^686572-1845299206679Enzo Doria07/2015
781(21^156217-1)/20206552Paul Bourdelais04/2010
782(2^685739+1)/(3*87774593)206420Gord Palameta08/2018
7832^685578+3206380Paul Bourdelais04/2012
7842^684836-49349206157Enzo Doria10/2015
785(73^110603-1)/72206088Paul Bourdelais06/2018
7862^684163-2790967205954Enzo Doria12/2015
787326^81943-325^81943205941Jean-Louis Charton07/2012
788(2^684127-1)/23765203727205933Jens K. Andersen04/2009
7894^341233-3^341233205443Jean-Louis Charton01/2006
7902^681545+467205166Lelio R Paula11/2013
7912^681306+81049205094Enzo Doria07/2016
7922^680697+1877057204911Enzo Doria07/2016
7932^680415+71783204826Enzo Doria04/2016
7942^679860-459995204659Enzo Doria06/2015
7952^679593+1879547204578Enzo Doria09/2016
7962^678651+1875023204295Enzo Doria07/2016
7972^678561+678561204268Henri Lifchitz05/2006
7982^678101-114043204129Enzo Doria11/2014
7992^678028+1875631204107Enzo Doria06/2016
8002^676992-59783203795Enzo Doria10/2015
8012^676972+1866871203789Enzo Doria03/2016
8022^676761-9203726Robert Price01/2017
8032^676563-2792407203666Enzo Doria02/2016
8042^676306-114713203589Enzo Doria04/2015
805(2^675977-1)/(1686378749257*7171117283326998925471)203456Dario Alpern07/2015
8062^674627-25161203083Enzo Doria09/2013
8072^674603-69337203076Enzo Doria12/2015
8082^674459+74213203033Enzo Doria04/2016
8092^674116-458879202930Enzo Doria04/2015
8102^674076-114755202918Enzo Doria04/2015
8115^289937-4^289937202658Jean-Louis Charton03/2013
812(467617#+14534)/(2^2*13*43)202603Makoto Morimoto06/2019
8132^672556-1835519202460Enzo Doria04/2015
8142^671446-351401202126Enzo Doria07/2015
8152^671373+77747202104Enzo Doria05/2016
8162^670726-114845201909Enzo Doria05/2015
8172^670539-25045201853Enzo Doria09/2013
81843284^43519-43519^43284201769Norbert Schneider08/2018
8192^670213+282317201755Enzo Doria09/2016
8202^669854-113501201647Enzo Doria08/2014
8212^669718+81619201606Enzo Doria08/2016
822(145*10^201504-1)/9201506Serge Batalov12/2014
8232^668938-1839821201371Enzo Doria06/2015
8242^668492+1879303201237Enzo Doria08/2016
8256^258413-5^258413201085Jean-Louis Charton03/2013
8262^667894+1875589201057Enzo Doria06/2016
8272^667569-1836559200959Enzo Doria05/2015
828(172*10^200746-1)/9200748Serge Batalov12/2014
8292^666430+782569200616Enzo Doria10/2016
830(86^103471+1)/87200163Paul Bourdelais05/2018
831103*(10^100000+20110)^2-4707*(10^100000+20110)+50383200003Robert Price05/2017
832103*(10^100000+33798)^2-4707*(10^100000+33798)+50383200003Robert Price01/2018
833numbpart(32235776596)200002Serge Batalov04/2017
834(10^200001+149)/3200001Serge Batalov12/2014
83510^200000+571791200001Patrick De Geest08/2019
836(3^419180-621444)/3200000Stefano Morozzi06/2019
837(3^419180-1941384)/3200000Stefano Morozzi08/2019
83810^200000-45557200000Patrick De Geest08/2019
839(14*10^199447+73)/3199448Robert Price12/2018
8402^662103-29287199313Enzo Doria08/2015
841(2*10^199283+457)/9199283Robert Price01/2018
842(10^199248-19)/9199248Robert Price01/2018
843(151*10^199003-1)/3199005Robert Price03/2020
8442^660482-2891198825Yves Minet05/2016
8452^659583+1879223198555Enzo Doria08/2016
846(53*10^198529+1)/9198530Serge Batalov07/2010
847(49*10^198403+311)/9198404Robert Price06/2019
8482^658828-29819198327Enzo Doria08/2015
8492^658776-2791229198312Enzo Doria01/2016
850(35*10^198294-377)/9198295Robert Price07/2018
851(4*10^198268+137)/3198269Robert Price03/2018
8522^658544-1854029198242Enzo Doria09/2015
853(157^90239-1)/156198154Alexander Zhirkov06/2016
854(4*10^197778+173)/3197779Robert Price02/2018
855(29*10^197629-77)/3197630Robert Price02/2020
8562^656462+1874419197615Enzo Doria06/2016
857(89^101363+1)/90197595Paul Bourdelais11/2017
8582^655893-344563197444Enzo Doria07/2015
8592^655875+71333197439Enzo Doria04/2016
8602^655845-9197430Robert Price01/2017
8612^655682-1849121197380Enzo Doria08/2015
8624*10^197268-89197269Robert Price11/2018
8632^655045-49603197189Enzo Doria10/2015
8642^655000-2784089197175Enzo Doria10/2015
865(18^157051-1)/17197141Paul Bourdelais03/2010
8662^654400-39719196995Enzo Doria09/2015
867(14*10^196965-221)/9196966Robert Price04/2018
8682^654216-459995196939Enzo Doria06/2015
869(17*10^196921+31)/3196922Robert Price01/2019
8703*10^196881-59196882Robert Price09/2018
8712^653851+82295196829Enzo Doria09/2016
872(38*10^196792+691)/9196793Robert Price10/2018
8732^653636-29429196765Enzo Doria08/2015
8742^653601-69673196754Enzo Doria02/2016
875(44*10^196684+1)/9196685Serge Batalov07/2010
8762^652786-1852571196509Enzo Doria08/2015
8772^652752-1325196498Yves Minet07/2015
8782^652470-1859141196414Enzo Doria10/2015
8792^652307+1877483196364Enzo Doria08/2016
8802^652293-115273196360Enzo Doria06/2015
881(47*10^196281+403)/9196282Robert Price03/2019
8826*10^196070+73196071Robert Price04/2019
8832^651218-1868201196037Enzo Doria04/2016
8842^651047-49687195985Enzo Doria10/2015
8852^650285-2785333195756Enzo Doria10/2015
886(69^106397-1)/68195647Paul Bourdelais10/2017
8872^649811+1877573195613Enzo Doria08/2016
8882^649662-170531195568Hans Havermann10/2018
8892^649586+182839195545Enzo Doria11/2016
8902^649537-1867363195531Enzo Doria04/2016
8912^649536-1861499195530Enzo Doria12/2015
892(103*10^195478-1)/3195480Serge Batalov12/2014
8932^649102-59351195400Enzo Doria10/2015
894(2*10^195399+529)/9195399Robert Price01/2018
895(202*10^195383-13)/9195385Robert Price01/2020
8962^648988+1178971195365Enzo Doria06/2016
8972^648975-114319195361Enzo Doria02/2015
898(11*10^195350-137)/9195351Robert Price01/2018
8992^648619-24835195254Enzo Doria09/2013
900(14*10^195234-83)/3195235Robert Price12/2018
9015*10^195221+81195222Robert Price03/2019
9022^648190-24737195125Enzo Doria09/2013
903(57^111119+1)/58195110Paul Bourdelais10/2017
90456*10^195032-3195034Robert Price03/2020
90511^187185-90194934Enzo Doria09/2012
9062^647068+77281194787Enzo Doria05/2016
90715^165559-14^165559194713Jean-Louis Charton03/2011
908F(931517)194676Henri Lifchitz09/2008
9094*10^194668+49194669Robert Price01/2019
9102^646589+1179407194643Enzo Doria06/2016
9112^646289-114621194553Enzo Doria05/2015
9122^646236-39659194537Enzo Doria09/2015
913(16*10^194536+53)/3194537Robert Price03/2019
9142^646161-59833194514Enzo Doria11/2015
915(17*10^194502+31)/3194503Robert Price01/2019
9162*10^194413+3194414Robert Price07/2015
9172^645360-1848599194273Enzo Doria08/2015
918(112*10^194150-1)/3194152Serge Batalov12/2014
9192*10^193981-43193982Robert Price04/2018
9202^644382+75169193979Enzo Doria04/2016
9212^644304-1861409193955Enzo Doria11/2015
9225*10^193907-9193908Robert Price05/2015
9232^644043+1876703193877Enzo Doria07/2016
9242^643735+1879733193784Enzo Doria09/2016
925(5^277183+1)/6193742Paul Bourdelais07/2010
9262^643216-286565193628Enzo Doria07/2015
9272^642888-24965193529Enzo Doria09/2013
9282^642448-114825193397Enzo Doria05/2015
9292^642437-1856623193393Enzo Doria10/2015
9302^642039-59797193273Enzo Doria11/2015
93110^193230+513861193231Patrick De Geest07/2018
93210^193230-8001193230Robert Price03/2018
9332^641692-286349193169Enzo Doria07/2015
9342^641690-24737193168Enzo Doria09/2013
9352^641514+1876549193115Enzo Doria07/2016
9362^640888-2785619192927Enzo Doria10/2015
9372^640874-2783741192923Enzo Doria09/2015
938(46*10^192841+683)/9192842Robert Price03/2019
9392^640181+467192714Lelio R Paula08/2013
9402^639536-1850249192520Enzo Doria08/2015
94140714<>40712<>...<>1086421357911<>...<>40711<>40713192464Hans Havermann12/2019
9425*10^192422-43192423Robert Price01/2019
9432^639110-2792441192392Enzo Doria02/2016
9442^638955-29827192345Enzo Doria08/2015
9452^638713-2784223192272Enzo Doria10/2015
9462^638490-113507192205Enzo Doria08/2014
9472^638189-39943192115Enzo Doria09/2015
9482^638110+1877119192091Enzo Doria07/2016
9492^638066-2785211192078Enzo Doria10/2015
950(112*10^191900+17)/3191902Robert Price03/2020
9512^637475-115309191900Enzo Doria07/2015
9522^636661+1876577191655Enzo Doria07/2016
953(34^125101-1)/33191589Paul Bourdelais11/2017
9542^636177-1855123191509Enzo Doria09/2015
9552^636158-113627191503Enzo Doria08/2014
956(37*25^136966+63)/4191472Curtis Bright05/2015
9572^636035+79823191466Enzo Doria06/2016
9582^636011-1860847191459Enzo Doria11/2015
9592^635926-1860611191433Enzo Doria11/2015
9603*10^191152-7191153Robert Price08/2015
9612^634883-1865677191119Enzo Doria02/2016
9622^634801+1871957191095Enzo Doria05/2016
963(35*10^191073+1)/9191074Serge Batalov07/2010
9642^634470-59861190995Enzo Doria11/2015
9652^634368-29519190964Enzo Doria08/2015
9662^634188-350609190910Enzo Doria06/2015
967(26*10^190789-131)/3190790Robert Price10/2019
968(13*10^190732-61)/3190733Robert Price11/2018
969(7*10^190683+143)/3190684Robert Price03/2018
9702^633088-113879190579Enzo Doria10/2014
9712^633064+1874911190572Enzo Doria06/2016
972(43*10^190547+83)/9190548Robert Price11/2018
9732^632795-351205190491Enzo Doria06/2015
974(16*10^190420-19)/3190421Robert Price02/2019
975(43*10^190351+101)/9190352Robert Price11/2018
9762^632156+78391190298Enzo Doria06/2016
9772^632082-1851971190276Enzo Doria08/2015
9782^632020+1880311190257Enzo Doria09/2016
9792^631637-462373190142Enzo Doria08/2015
980(28*10^190105+191)/3190106Robert Price02/2020
9812^631122-39251189987Enzo Doria08/2015
982(26*10^189928-89)/9189929Robert Price06/2018
9832^630839-97189902Yves Minet07/2017
9842^630359+1788953189757Enzo Doria05/2016
9852^630228+1871971189718Enzo Doria05/2016
9862^630108+781189682Lelio R Paula08/2013
9872^629870-1867811189610Enzo Doria04/2016
988(359^74189-1)/358189558Alexander Zhirkov11/2017
9892^629326+2792929189447Enzo Doria02/2016
990(10^189385-61)/3189385Serge Batalov12/2014
9912^629036+1874011189359Enzo Doria06/2016
9922^628930+80779189327Enzo Doria07/2016
9932^628582+1179439189223Enzo Doria06/2016
994(44*10^188999-503)/9189000Robert Price12/2018
995(16*10^188823+167)/3188824Robert Price06/2019
9962^627037-2785843188757Enzo Doria10/2015
997(16*10^188457+161)/3188458Robert Price02/2019
998L(901657)188436Renaud Lifchitz11/2008
9992^625651+74213188340Enzo Doria04/2016
10002^625584-460919188320Enzo Doria06/2015


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: March, 29 2020 17:41 (Time in France)

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