PRP Records

Probable Primes Top 10000

(252932 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 ?
7512^679860-459995204659Enzo Doria06/2015
7522^679593+1879547204578Enzo Doria09/2016
7532^678651+1875023204295Enzo Doria07/2016
7542^678561+678561204268Henri Lifchitz05/2006
7552^678101-114043204129Enzo Doria11/2014
7562^678028+1875631204107Enzo Doria06/2016
7572^676992-59783203795Enzo Doria10/2015
7582^676972+1866871203789Enzo Doria03/2016
7592^676761-9203726Robert Price01/2017
7602^676563-2792407203666Enzo Doria02/2016
7612^676306-114713203589Enzo Doria04/2015
762(2^675977-1)/(1686378749257*7171117283326998925471)203456Dario Alpern07/2015
7632^674627-25161203083Enzo Doria09/2013
7642^674603-69337203076Enzo Doria12/2015
7652^674459+74213203033Enzo Doria04/2016
7662^674116-458879202930Enzo Doria04/2015
7672^674076-114755202918Enzo Doria04/2015
7685^289937-4^289937202658Jean-Louis Charton03/2013
7692^672556-1835519202460Enzo Doria04/2015
7702^671446-351401202126Enzo Doria07/2015
7712^671373+77747202104Enzo Doria05/2016
7722^670726-114845201909Enzo Doria05/2015
7732^670539-25045201853Enzo Doria09/2013
77443284^43519-43519^43284201769Norbert Schneider08/2018
7752^670213+282317201755Enzo Doria09/2016
7762^669854-113501201647Enzo Doria08/2014
7772^669718+81619201606Enzo Doria08/2016
778(145*10^201504-1)/9201506Serge Batalov12/2014
7792^668938-1839821201371Enzo Doria06/2015
7802^668492+1879303201237Enzo Doria08/2016
7816^258413-5^258413201085Jean-Louis Charton03/2013
7822^667894+1875589201057Enzo Doria06/2016
7832^667569-1836559200959Enzo Doria05/2015
784(172*10^200746-1)/9200748Serge Batalov12/2014
7852^666430+782569200616Enzo Doria10/2016
786(86^103471+1)/87200163Paul Bourdelais05/2018
787103*(10^100000+20110)^2-4707*(10^100000+20110)+50383200003Robert Price05/2017
788103*(10^100000+33798)^2-4707*(10^100000+33798)+50383200003Robert Price01/2018
789numbpart(32235776596)200002Serge Batalov04/2017
790(10^200001+149)/3200001Serge Batalov12/2014
791(3^419180-621444)/3200000Stefano Morozzi06/2019
792(14*10^199447+73)/3199448Robert Price12/2018
7932^662103-29287199313Enzo Doria08/2015
794(2*10^199283+457)/9199283Robert Price01/2018
795(10^199248-19)/9199248Robert Price01/2018
7962^660482-2891198825Yves Minet05/2016
7972^659583+1879223198555Enzo Doria08/2016
798(53*10^198529+1)/9198530Serge Batalov07/2010
799(49*10^198403+311)/9198404Robert Price06/2019
8002^658828-29819198327Enzo Doria08/2015
8012^658776-2791229198312Enzo Doria01/2016
802(35*10^198294-377)/9198295Robert Price07/2018
803(4*10^198268+137)/3198269Robert Price03/2018
8042^658544-1854029198242Enzo Doria09/2015
805(157^90239-1)/156198154Alexander Zhirkov06/2016
806(4*10^197778+173)/3197779Robert Price02/2018
8072^656462+1874419197615Enzo Doria06/2016
808(89^101363+1)/90197595Paul Bourdelais11/2017
8092^655893-344563197444Enzo Doria07/2015
8102^655875+71333197439Enzo Doria04/2016
8112^655845-9197430Robert Price01/2017
8122^655682-1849121197380Enzo Doria08/2015
8134*10^197268-89197269Robert Price11/2018
8142^655045-49603197189Enzo Doria10/2015
8152^655000-2784089197175Enzo Doria10/2015
816(18^157051-1)/17197141Paul Bourdelais03/2010
8172^654400-39719196995Enzo Doria09/2015
818(14*10^196965-221)/9196966Robert Price04/2018
8192^654216-459995196939Enzo Doria06/2015
820(17*10^196921+31)/3196922Robert Price01/2019
8213*10^196881-59196882Robert Price09/2018
8222^653851+82295196829Enzo Doria09/2016
823(38*10^196792+691)/9196793Robert Price10/2018
8242^653636-29429196765Enzo Doria08/2015
8252^653601-69673196754Enzo Doria02/2016
826(44*10^196684+1)/9196685Serge Batalov07/2010
8272^652786-1852571196509Enzo Doria08/2015
8282^652752-1325196498Yves Minet07/2015
8292^652470-1859141196414Enzo Doria10/2015
8302^652307+1877483196364Enzo Doria08/2016
8312^652293-115273196360Enzo Doria06/2015
832(47*10^196281+403)/9196282Robert Price03/2019
8336*10^196070+73196071Robert Price04/2019
8342^651218-1868201196037Enzo Doria04/2016
8352^651047-49687195985Enzo Doria10/2015
8362^650285-2785333195756Enzo Doria10/2015
837(69^106397-1)/68195647Paul Bourdelais10/2017
8382^649811+1877573195613Enzo Doria08/2016
8392^649662-170531195568Hans Havermann10/2018
8402^649586+182839195545Enzo Doria11/2016
8412^649537-1867363195531Enzo Doria04/2016
8422^649536-1861499195530Enzo Doria12/2015
843(103*10^195478-1)/3195480Serge Batalov12/2014
8442^649102-59351195400Enzo Doria10/2015
845(2*10^195399+529)/9195399Robert Price01/2018
8462^648988+1178971195365Enzo Doria06/2016
8472^648975-114319195361Enzo Doria02/2015
848(11*10^195350-137)/9195351Robert Price01/2018
8492^648619-24835195254Enzo Doria09/2013
850(14*10^195234-83)/3195235Robert Price12/2018
8515*10^195221+81195222Robert Price03/2019
8522^648190-24737195125Enzo Doria09/2013
853(57^111119+1)/58195110Paul Bourdelais10/2017
85411^187185-90194934Enzo Doria09/2012
8552^647068+77281194787Enzo Doria05/2016
85615^165559-14^165559194713Jean-Louis Charton03/2011
857F(931517)194676Henri Lifchitz09/2008
8584*10^194668+49194669Robert Price01/2019
8592^646589+1179407194643Enzo Doria06/2016
8602^646289-114621194553Enzo Doria05/2015
8612^646236-39659194537Enzo Doria09/2015
862(16*10^194536+53)/3194537Robert Price03/2019
8632^646161-59833194514Enzo Doria11/2015
864(17*10^194502+31)/3194503Robert Price01/2019
8652*10^194413+3194414Robert Price07/2015
8662^645360-1848599194273Enzo Doria08/2015
867(112*10^194150-1)/3194152Serge Batalov12/2014
8682*10^193981-43193982Robert Price04/2018
8692^644382+75169193979Enzo Doria04/2016
8702^644304-1861409193955Enzo Doria11/2015
8715*10^193907-9193908Robert Price05/2015
8722^644043+1876703193877Enzo Doria07/2016
8732^643735+1879733193784Enzo Doria09/2016
874(5^277183+1)/6193742Paul Bourdelais07/2010
8752^643216-286565193628Enzo Doria07/2015
8762^642888-24965193529Enzo Doria09/2013
8772^642448-114825193397Enzo Doria05/2015
8782^642437-1856623193393Enzo Doria10/2015
8792^642039-59797193273Enzo Doria11/2015
88010^193230+513861193231Patrick De Geest07/2018
88110^193230-8001193230Robert Price03/2018
8822^641692-286349193169Enzo Doria07/2015
8832^641690-24737193168Enzo Doria09/2013
8842^641514+1876549193115Enzo Doria07/2016
8852^640888-2785619192927Enzo Doria10/2015
8862^640874-2783741192923Enzo Doria09/2015
887(46*10^192841+683)/9192842Robert Price03/2019
8882^640181+467192714Lelio R Paula08/2013
8892^639536-1850249192520Enzo Doria08/2015
8905*10^192422-43192423Robert Price01/2019
8912^639110-2792441192392Enzo Doria02/2016
8922^638955-29827192345Enzo Doria08/2015
8932^638713-2784223192272Enzo Doria10/2015
8942^638490-113507192205Enzo Doria08/2014
8952^638189-39943192115Enzo Doria09/2015
8962^638110+1877119192091Enzo Doria07/2016
8972^638066-2785211192078Enzo Doria10/2015
8982^637475-115309191900Enzo Doria07/2015
8992^636661+1876577191655Enzo Doria07/2016
900(34^125101-1)/33191589Paul Bourdelais11/2017
9012^636177-1855123191509Enzo Doria09/2015
9022^636158-113627191503Enzo Doria08/2014
903(37*25^136966+63)/4191472Curtis Bright05/2015
9042^636035+79823191466Enzo Doria06/2016
9052^636011-1860847191459Enzo Doria11/2015
9062^635926-1860611191433Enzo Doria11/2015
9073*10^191152-7191153Robert Price08/2015
9082^634883-1865677191119Enzo Doria02/2016
9092^634801+1871957191095Enzo Doria05/2016
910(35*10^191073+1)/9191074Serge Batalov07/2010
9112^634470-59861190995Enzo Doria11/2015
9122^634368-29519190964Enzo Doria08/2015
9132^634188-350609190910Enzo Doria06/2015
914(13*10^190732-61)/3190733Robert Price11/2018
915(7*10^190683+143)/3190684Robert Price03/2018
9162^633088-113879190579Enzo Doria10/2014
9172^633064+1874911190572Enzo Doria06/2016
918(43*10^190547+83)/9190548Robert Price11/2018
9192^632795-351205190491Enzo Doria06/2015
920(16*10^190420-19)/3190421Robert Price02/2019
921(43*10^190351+101)/9190352Robert Price11/2018
9222^632156+78391190298Enzo Doria06/2016
9232^632082-1851971190276Enzo Doria08/2015
9242^632020+1880311190257Enzo Doria09/2016
9252^631637-462373190142Enzo Doria08/2015
9262^631122-39251189987Enzo Doria08/2015
927(26*10^189928-89)/9189929Robert Price06/2018
9282^630839-97189902Yves Minet07/2017
9292^630359+1788953189757Enzo Doria05/2016
9302^630228+1871971189718Enzo Doria05/2016
9312^630108+781189682Lelio R Paula08/2013
9322^629870-1867811189610Enzo Doria04/2016
933(359^74189-1)/358189558Alexander Zhirkov11/2017
9342^629326+2792929189447Enzo Doria02/2016
935(10^189385-61)/3189385Serge Batalov12/2014
9362^629036+1874011189359Enzo Doria06/2016
9372^628930+80779189327Enzo Doria07/2016
9382^628582+1179439189223Enzo Doria06/2016
939(44*10^188999-503)/9189000Robert Price12/2018
9402^627037-2785843188757Enzo Doria10/2015
941(16*10^188457+161)/3188458Robert Price02/2019
942L(901657)188436Renaud Lifchitz11/2008
9432^625651+74213188340Enzo Doria04/2016
9442^625584-460919188320Enzo Doria06/2015
945(10^188164+359)/9188164Serge Batalov12/2014
9462^624481-113611187988Enzo Doria08/2014
9472^624077-112723187866Enzo Doria07/2014
9482^624008+1874941187846Enzo Doria06/2016
9492^623870+78679187804Enzo Doria05/2016
9502^623714-114035187757Enzo Doria11/2014
9512^623651-1834251187738Enzo Doria07/2015
952(7*10^187645+53)/3187646Robert Price05/2018
9532^623146+1879609187586Enzo Doria09/2016
954(5*10^187471+91)/3187472Robert Price04/2018
9552^622500+81931187392Enzo Doria08/2016
9562^622300-1861739187331Enzo Doria12/2015
957(38*10^187281+349)/9187282Robert Price10/2018
9582^622052+76771187257Enzo Doria05/2016
9592^622005-24091187243Enzo Doria08/2013
9602^621879-351787187205Enzo Doria07/2015
9612^621700+79411187151Enzo Doria06/2016
962(2*10^187062-71)/3187062Robert Price12/2017
9632^620929-113203186919Enzo Doria07/2014
96410^186842+168223186843Patrick De Geest07/2018
96510^186842-8001186842Robert Price03/2018
9662^620347-1777186744Lelio R Paula07/2013
96711^179143-4170186559Enzo Doria12/2012
968(5^266863+1)/6186529Paul Bourdelais07/2010
9692^619297-2792353186427Enzo Doria02/2016
970(49*10^186409+383)/9186410Robert Price04/2019
9712^618940-460139186320Enzo Doria06/2015
9722^618046+74179186051Enzo Doria04/2016
9733*10^186019+11186020Robert Price07/2018
974(16*10^185978-19)/3185979Robert Price02/2019
9752*10^185930-3185931Robert Price07/2015
976(82^97151+1)/83185928Paul Bourdelais10/2017
9774*10^185905+91185906Robert Price08/2018
978(37*10^185811+377)/9185812Robert Price11/2018
9792^617250+9385185811Lelio R Paula07/2013
98039^116749+2185756Robert Price04/2015
9812^616924-39719185713Enzo Doria09/2015
9822^616712+1867621185649Enzo Doria04/2016
983(3^388897+2^388897)/5185551Jean-Louis Charton09/2011
9844*10^185355+9185356Robert Price05/2015
9852^615622+76639185321Enzo Doria05/2016
9862^615591+1879223185312Enzo Doria08/2016
9872^615503+1876643185285Enzo Doria07/2016
9885^265007-4^265007185232Jean-Louis Charton02/2013
989(4*10^185221-91)/3185222Robert Price03/2018
9902^614783-2790097185069Enzo Doria12/2015
9912^614745-29323185057Enzo Doria07/2015
992(((((((((((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
993(49*10^184993-67)/9184994Robert Price03/2019
994(14*10^184950+211)/9184951Robert Price04/2018
9952^614315+81353184928Enzo Doria08/2016
9962^614294-1849961184921Enzo Doria08/2015
9972^614266+1877809184913Enzo Doria08/2016
9982^613715-1860727184747Enzo Doria11/2015
9992*10^184723+41184724Robert Price05/2018
10002^613487-349987184678Enzo Doria07/2015


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: June, 18 2019 07:14 (Time in France)

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