PRP Records

Probable Primes Top 10000

(252538 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 ?
7512^674603-69337203076Enzo Doria12/2015
7522^674459+74213203033Enzo Doria04/2016
7532^674116-458879202930Enzo Doria04/2015
7542^674076-114755202918Enzo Doria04/2015
7555^289937-4^289937202658Jean-Louis Charton03/2013
7562^672556-1835519202460Enzo Doria04/2015
7572^671446-351401202126Enzo Doria07/2015
7582^671373+77747202104Enzo Doria05/2016
7592^670726-114845201909Enzo Doria05/2015
7602^670539-25045201853Enzo Doria09/2013
76143284^43519-43519^43284201769Norbert Schneider08/2018
7622^670213+282317201755Enzo Doria09/2016
7632^669854-113501201647Enzo Doria08/2014
7642^669718+81619201606Enzo Doria08/2016
765(145*10^201504-1)/9201506Serge Batalov12/2014
7662^668938-1839821201371Enzo Doria06/2015
7672^668492+1879303201237Enzo Doria08/2016
7686^258413-5^258413201085Jean-Louis Charton03/2013
7692^667894+1875589201057Enzo Doria06/2016
7702^667569-1836559200959Enzo Doria05/2015
771(172*10^200746-1)/9200748Serge Batalov12/2014
7722^666430+782569200616Enzo Doria10/2016
773(86^103471+1)/87200163Paul Bourdelais05/2018
775103*(10^100000+20110)^2-4707*(10^100000+20110)+50383200003Robert Price05/2017
774103*(10^100000+33798)^2-4707*(10^100000+33798)+50383200003Robert Price01/2018
776numbpart(32235776596)200002Serge Batalov04/2017
777(10^200001+149)/3200001Serge Batalov12/2014
778(14*10^199447+73)/3199448Robert Price12/2018
7792^662103-29287199313Enzo Doria08/2015
780(2*10^199283+457)/9199283Robert Price01/2018
781(10^199248-19)/9199248Robert Price01/2018
7822^660482-2891198825Yves Minet05/2016
7832^659583+1879223198555Enzo Doria08/2016
784(53*10^198529+1)/9198530Serge Batalov07/2010
7852^658828-29819198327Enzo Doria08/2015
7862^658776-2791229198312Enzo Doria01/2016
787(35*10^198294-377)/9198295Robert Price07/2018
788(4*10^198268+137)/3198269Robert Price03/2018
7892^658544-1854029198242Enzo Doria09/2015
790(157^90239-1)/156198154Alexander Zhirkov06/2016
791(4*10^197778+173)/3197779Robert Price02/2018
7922^656462+1874419197615Enzo Doria06/2016
793(89^101363+1)/90197595Paul Bourdelais11/2017
7942^655893-344563197444Enzo Doria07/2015
7952^655875+71333197439Enzo Doria04/2016
7962^655845-9197430Robert Price01/2017
7972^655682-1849121197380Enzo Doria08/2015
7984*10^197268-89197269Robert Price11/2018
7992^655045-49603197189Enzo Doria10/2015
8002^655000-2784089197175Enzo Doria10/2015
801(18^157051-1)/17197141Paul Bourdelais03/2010
8022^654400-39719196995Enzo Doria09/2015
803(14*10^196965-221)/9196966Robert Price04/2018
8042^654216-459995196939Enzo Doria06/2015
805(17*10^196921+31)/3196922Robert Price01/2019
8063*10^196881-59196882Robert Price09/2018
8072^653851+82295196829Enzo Doria09/2016
808(38*10^196792+691)/9196793Robert Price10/2018
8092^653636-29429196765Enzo Doria08/2015
8102^653601-69673196754Enzo Doria02/2016
811(44*10^196684+1)/9196685Serge Batalov07/2010
8122^652786-1852571196509Enzo Doria08/2015
8132^652752-1325196498Yves Minet07/2015
8142^652470-1859141196414Enzo Doria10/2015
8152^652307+1877483196364Enzo Doria08/2016
8162^652293-115273196360Enzo Doria06/2015
8172^651218-1868201196037Enzo Doria04/2016
8182^651047-49687195985Enzo Doria10/2015
8192^650285-2785333195756Enzo Doria10/2015
820(69^106397-1)/68195647Paul Bourdelais10/2017
8212^649811+1877573195613Enzo Doria08/2016
8222^649662-170531195568Hans Havermann10/2018
8232^649586+182839195545Enzo Doria11/2016
8242^649537-1867363195531Enzo Doria04/2016
8252^649536-1861499195530Enzo Doria12/2015
826(103*10^195478-1)/3195480Serge Batalov12/2014
8272^649102-59351195400Enzo Doria10/2015
828(2*10^195399+529)/9195399Robert Price01/2018
8292^648988+1178971195365Enzo Doria06/2016
8302^648975-114319195361Enzo Doria02/2015
831(11*10^195350-137)/9195351Robert Price01/2018
8322^648619-24835195254Enzo Doria09/2013
833(14*10^195234-83)/3195235Robert Price12/2018
8342^648190-24737195125Enzo Doria09/2013
835(57^111119+1)/58195110Paul Bourdelais10/2017
83611^187185-90194934Enzo Doria09/2012
8372^647068+77281194787Enzo Doria05/2016
83815^165559-14^165559194713Jean-Louis Charton03/2011
839F(931517)194676Henri Lifchitz09/2008
8404*10^194668+49194669Robert Price01/2019
8412^646589+1179407194643Enzo Doria06/2016
8422^646289-114621194553Enzo Doria05/2015
8432^646236-39659194537Enzo Doria09/2015
8442^646161-59833194514Enzo Doria11/2015
845(17*10^194502+31)/3194503Robert Price01/2019
8462*10^194413+3194414Robert Price07/2015
8472^645360-1848599194273Enzo Doria08/2015
848(112*10^194150-1)/3194152Serge Batalov12/2014
8492*10^193981-43193982Robert Price04/2018
8502^644382+75169193979Enzo Doria04/2016
8512^644304-1861409193955Enzo Doria11/2015
8525*10^193907-9193908Robert Price05/2015
8532^644043+1876703193877Enzo Doria07/2016
8542^643735+1879733193784Enzo Doria09/2016
855(5^277183+1)/6193742Paul Bourdelais07/2010
8562^643216-286565193628Enzo Doria07/2015
8572^642888-24965193529Enzo Doria09/2013
8582^642448-114825193397Enzo Doria05/2015
8592^642437-1856623193393Enzo Doria10/2015
8602^642039-59797193273Enzo Doria11/2015
86110^193230+513861193231Patrick De Geest07/2018
86210^193230-8001193230Robert Price03/2018
8632^641692-286349193169Enzo Doria07/2015
8642^641690-24737193168Enzo Doria09/2013
8652^641514+1876549193115Enzo Doria07/2016
8662^640888-2785619192927Enzo Doria10/2015
8672^640874-2783741192923Enzo Doria09/2015
8682^640181+467192714Lelio R Paula08/2013
8692^639536-1850249192520Enzo Doria08/2015
8705*10^192422-43192423Robert Price01/2019
8712^639110-2792441192392Enzo Doria02/2016
8722^638955-29827192345Enzo Doria08/2015
8732^638713-2784223192272Enzo Doria10/2015
8742^638490-113507192205Enzo Doria08/2014
8752^638189-39943192115Enzo Doria09/2015
8762^638110+1877119192091Enzo Doria07/2016
8772^638066-2785211192078Enzo Doria10/2015
8782^637475-115309191900Enzo Doria07/2015
8792^636661+1876577191655Enzo Doria07/2016
880(34^125101-1)/33191589Paul Bourdelais11/2017
8812^636177-1855123191509Enzo Doria09/2015
8822^636158-113627191503Enzo Doria08/2014
883(37*25^136966+63)/4191472Curtis Bright05/2015
8842^636035+79823191466Enzo Doria06/2016
8852^636011-1860847191459Enzo Doria11/2015
8862^635926-1860611191433Enzo Doria11/2015
8873*10^191152-7191153Robert Price08/2015
8882^634883-1865677191119Enzo Doria02/2016
8892^634801+1871957191095Enzo Doria05/2016
890(35*10^191073+1)/9191074Serge Batalov07/2010
8912^634470-59861190995Enzo Doria11/2015
8922^634368-29519190964Enzo Doria08/2015
8932^634188-350609190910Enzo Doria06/2015
894(13*10^190732-61)/3190733Robert Price11/2018
895(7*10^190683+143)/3190684Robert Price03/2018
8962^633088-113879190579Enzo Doria10/2014
8972^633064+1874911190572Enzo Doria06/2016
898(43*10^190547+83)/9190548Robert Price11/2018
8992^632795-351205190491Enzo Doria06/2015
900(43*10^190351+101)/9190352Robert Price11/2018
9012^632156+78391190298Enzo Doria06/2016
9022^632082-1851971190276Enzo Doria08/2015
9032^632020+1880311190257Enzo Doria09/2016
9042^631637-462373190142Enzo Doria08/2015
9052^631122-39251189987Enzo Doria08/2015
906(26*10^189928-89)/9189929Robert Price06/2018
9072^630839-97189902Yves Minet07/2017
9082^630359+1788953189757Enzo Doria05/2016
9092^630228+1871971189718Enzo Doria05/2016
9102^630108+781189682Lelio R Paula08/2013
9112^629870-1867811189610Enzo Doria04/2016
912(359^74189-1)/358189558Alexander Zhirkov11/2017
9132^629326+2792929189447Enzo Doria02/2016
914(10^189385-61)/3189385Serge Batalov12/2014
9152^629036+1874011189359Enzo Doria06/2016
9162^628930+80779189327Enzo Doria07/2016
9172^628582+1179439189223Enzo Doria06/2016
918(44*10^188999-503)/9189000Robert Price12/2018
9192^627037-2785843188757Enzo Doria10/2015
920L(901657)188436Renaud Lifchitz11/2008
9212^625651+74213188340Enzo Doria04/2016
9222^625584-460919188320Enzo Doria06/2015
923(10^188164+359)/9188164Serge Batalov12/2014
9242^624481-113611187988Enzo Doria08/2014
9252^624077-112723187866Enzo Doria07/2014
9262^624008+1874941187846Enzo Doria06/2016
9272^623870+78679187804Enzo Doria05/2016
9282^623714-114035187757Enzo Doria11/2014
9292^623651-1834251187738Enzo Doria07/2015
930(7*10^187645+53)/3187646Robert Price05/2018
9312^623146+1879609187586Enzo Doria09/2016
932(5*10^187471+91)/3187472Robert Price04/2018
9332^622500+81931187392Enzo Doria08/2016
9342^622300-1861739187331Enzo Doria12/2015
935(38*10^187281+349)/9187282Robert Price10/2018
9362^622052+76771187257Enzo Doria05/2016
9372^622005-24091187243Enzo Doria08/2013
9382^621879-351787187205Enzo Doria07/2015
9392^621700+79411187151Enzo Doria06/2016
940(2*10^187062-71)/3187062Robert Price12/2017
9412^620929-113203186919Enzo Doria07/2014
94210^186842+168223186843Patrick De Geest07/2018
94310^186842-8001186842Robert Price03/2018
9442^620347-1777186744Lelio R Paula07/2013
94511^179143-4170186559Enzo Doria12/2012
946(5^266863+1)/6186529Paul Bourdelais07/2010
9472^619297-2792353186427Enzo Doria02/2016
9482^618940-460139186320Enzo Doria06/2015
9492^618046+74179186051Enzo Doria04/2016
9503*10^186019+11186020Robert Price07/2018
9512*10^185930-3185931Robert Price07/2015
952(82^97151+1)/83185928Paul Bourdelais10/2017
9534*10^185905+91185906Robert Price08/2018
954(37*10^185811+377)/9185812Robert Price11/2018
9552^617250+9385185811Lelio R Paula07/2013
95639^116749+2185756Robert Price04/2015
9572^616924-39719185713Enzo Doria09/2015
9582^616712+1867621185649Enzo Doria04/2016
959(3^388897+2^388897)/5185551Jean-Louis Charton09/2011
9604*10^185355+9185356Robert Price05/2015
9612^615622+76639185321Enzo Doria05/2016
9622^615591+1879223185312Enzo Doria08/2016
9632^615503+1876643185285Enzo Doria07/2016
9645^265007-4^265007185232Jean-Louis Charton02/2013
965(4*10^185221-91)/3185222Robert Price03/2018
9662^614783-2790097185069Enzo Doria12/2015
9672^614745-29323185057Enzo Doria07/2015
968(((((((((((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
969(14*10^184950+211)/9184951Robert Price04/2018
9702^614315+81353184928Enzo Doria08/2016
9712^614294-1849961184921Enzo Doria08/2015
9722^614266+1877809184913Enzo Doria08/2016
9732^613715-1860727184747Enzo Doria11/2015
9742*10^184723+41184724Robert Price05/2018
9752^613487-349987184678Enzo Doria07/2015
976(95^93377+1)/96184672Paul Bourdelais11/2017
97714^161089-161089^14184629Serge Batalov05/2016
9782^613033-114621184542Enzo Doria05/2015
979(9^193247+1)/10184404Paul Bourdelais02/2010
9802^612341-1604809184334Enzo Doria05/2015
981(2^611999-1)/18464214225958267477777390354183184199Dario Alpern06/2017
982(14*10^184150+37)/3184151Robert Price12/2018
9832^611731-4837184150Yves Minet08/2018
9843*10^184124-7184125Robert Price08/2015
9852^611628-24537184119Enzo Doria08/2013
9863*10^184110+13184111Robert Price07/2018
9872^611460+71881184068Enzo Doria04/2016
9884*10^184004-63184005Robert Price10/2018
9892^610982-1867301183924Enzo Doria03/2016
9903*10^183872-49183873Robert Price07/2018
9912^610597+1178897183809Enzo Doria05/2016
992(17*10^183764+31)/3183765Robert Price01/2019
993(28*10^183760-1)/9183761Serge Batalov10/2014
9942^610401+1277183750Lelio R Paula07/2013
9952^610356-1849019183736Enzo Doria08/2015
996(63^102103+1)/64183717Paul Bourdelais10/2017
997(2^610289+1)/(3*528882550291)183704Gord Palameta08/2018
998(4*10^183659+149)/9183659Robert Price04/2018
9992^609846-1834251183582Enzo Doria07/2015
100011^176176-240183469Enzo Doria11/2012


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: February, 14 2019 10:37 (Time in France)

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