PRP Records

Probable Primes Top 10000

(255244 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 ?
7512^697036+1878751209829Enzo Doria08/2016
752(2^696343-1)/11141489/36009913139329209600Tony Prest / Never Odd Or Even02/2014
7532^696254-115151209594Enzo Doria06/2015
754(35^135623+1)/36209410Paul Bourdelais07/2018
7552^694633+1887257209106Enzo Doria05/2017
7562^693959+180923208903Enzo Doria07/2016
7572^693462-1847561208753Enzo Doria07/2015
7582^690890-59981207979Enzo Doria11/2015
759(38^131591+1)/39207884Paul Bourdelais07/2018
7602^690163+1877063207760Enzo Doria07/2016
7612^689286-29381207496Enzo Doria08/2015
7622^689122-114521207447Enzo Doria04/2015
7632^688373+6077207221Enzo Doria02/2016
7642^688201+1875527207170Enzo Doria07/2016
765(42^127609+1)/43207140Paul Bourdelais07/2018
7662^687619+81563206994Enzo Doria08/2016
7672^686572-1845299206679Enzo Doria07/2015
768(21^156217-1)/20206552Paul Bourdelais04/2010
769(2^685739+1)/(3*87774593)206420Gord Palameta08/2018
7702^685578+3206380Paul Bourdelais04/2012
7712^684836-49349206157Enzo Doria10/2015
772(73^110603-1)/72206088Paul Bourdelais06/2018
7732^684163-2790967205954Enzo Doria12/2015
774326^81943-325^81943205941Jean-Louis Charton07/2012
775(2^684127-1)/23765203727205933Jens K. Andersen04/2009
7764^341233-3^341233205443Jean-Louis Charton01/2006
7772^681545+467205166Lelio R Paula11/2013
7782^681306+81049205094Enzo Doria07/2016
7792^680697+1877057204911Enzo Doria07/2016
7802^680415+71783204826Enzo Doria04/2016
7812^679860-459995204659Enzo Doria06/2015
7822^679593+1879547204578Enzo Doria09/2016
7832^678651+1875023204295Enzo Doria07/2016
7842^678561+678561204268Henri Lifchitz05/2006
7852^678101-114043204129Enzo Doria11/2014
7862^678028+1875631204107Enzo Doria06/2016
7872^676992-59783203795Enzo Doria10/2015
7882^676972+1866871203789Enzo Doria03/2016
7892^676761-9203726Robert Price01/2017
7902^676563-2792407203666Enzo Doria02/2016
7912^676306-114713203589Enzo Doria04/2015
792(2^675977-1)/(1686378749257*7171117283326998925471)203456Dario Alpern07/2015
7932^674627-25161203083Enzo Doria09/2013
7942^674603-69337203076Enzo Doria12/2015
7952^674459+74213203033Enzo Doria04/2016
7962^674116-458879202930Enzo Doria04/2015
7972^674076-114755202918Enzo Doria04/2015
7985^289937-4^289937202658Jean-Louis Charton03/2013
799(467617#+14534)/(2^2*13*43)202603Makoto Morimoto06/2019
8002^672556-1835519202460Enzo Doria04/2015
8012^671446-351401202126Enzo Doria07/2015
8022^671373+77747202104Enzo Doria05/2016
8032^670726-114845201909Enzo Doria05/2015
8042^670539-25045201853Enzo Doria09/2013
80543284^43519-43519^43284201769Norbert Schneider08/2018
8062^670213+282317201755Enzo Doria09/2016
8072^669854-113501201647Enzo Doria08/2014
8082^669718+81619201606Enzo Doria08/2016
809(145*10^201504-1)/9201506Serge Batalov12/2014
8102^668938-1839821201371Enzo Doria06/2015
8112^668492+1879303201237Enzo Doria08/2016
8126^258413-5^258413201085Jean-Louis Charton03/2013
8132^667894+1875589201057Enzo Doria06/2016
8142^667569-1836559200959Enzo Doria05/2015
815(172*10^200746-1)/9200748Serge Batalov12/2014
8162^666430+782569200616Enzo Doria10/2016
817(86^103471+1)/87200163Paul Bourdelais05/2018
818103*(10^100000+20110)^2-4707*(10^100000+20110)+50383200003Robert Price05/2017
819103*(10^100000+33798)^2-4707*(10^100000+33798)+50383200003Robert Price01/2018
820numbpart(32235776596)200002Serge Batalov04/2017
822(10^200001+149)/3200001Serge Batalov12/2014
82110^200000+571791200001Patrick De Geest08/2019
823(3^419180-621444)/3200000Stefano Morozzi06/2019
824(3^419180-1941384)/3200000Stefano Morozzi08/2019
82510^200000-45557200000Patrick De Geest08/2019
826(14*10^199447+73)/3199448Robert Price12/2018
8272^662103-29287199313Enzo Doria08/2015
828(2*10^199283+457)/9199283Robert Price01/2018
829(10^199248-19)/9199248Robert Price01/2018
8302^660482-2891198825Yves Minet05/2016
8312^659583+1879223198555Enzo Doria08/2016
832(53*10^198529+1)/9198530Serge Batalov07/2010
833(49*10^198403+311)/9198404Robert Price06/2019
8342^658828-29819198327Enzo Doria08/2015
8352^658776-2791229198312Enzo Doria01/2016
836(35*10^198294-377)/9198295Robert Price07/2018
837(4*10^198268+137)/3198269Robert Price03/2018
8382^658544-1854029198242Enzo Doria09/2015
839(157^90239-1)/156198154Alexander Zhirkov06/2016
840(4*10^197778+173)/3197779Robert Price02/2018
8412^656462+1874419197615Enzo Doria06/2016
842(89^101363+1)/90197595Paul Bourdelais11/2017
8432^655893-344563197444Enzo Doria07/2015
8442^655875+71333197439Enzo Doria04/2016
8452^655845-9197430Robert Price01/2017
8462^655682-1849121197380Enzo Doria08/2015
8474*10^197268-89197269Robert Price11/2018
8482^655045-49603197189Enzo Doria10/2015
8492^655000-2784089197175Enzo Doria10/2015
850(18^157051-1)/17197141Paul Bourdelais03/2010
8512^654400-39719196995Enzo Doria09/2015
852(14*10^196965-221)/9196966Robert Price04/2018
8532^654216-459995196939Enzo Doria06/2015
854(17*10^196921+31)/3196922Robert Price01/2019
8553*10^196881-59196882Robert Price09/2018
8562^653851+82295196829Enzo Doria09/2016
857(38*10^196792+691)/9196793Robert Price10/2018
8582^653636-29429196765Enzo Doria08/2015
8592^653601-69673196754Enzo Doria02/2016
860(44*10^196684+1)/9196685Serge Batalov07/2010
8612^652786-1852571196509Enzo Doria08/2015
8622^652752-1325196498Yves Minet07/2015
8632^652470-1859141196414Enzo Doria10/2015
8642^652307+1877483196364Enzo Doria08/2016
8652^652293-115273196360Enzo Doria06/2015
866(47*10^196281+403)/9196282Robert Price03/2019
8676*10^196070+73196071Robert Price04/2019
8682^651218-1868201196037Enzo Doria04/2016
8692^651047-49687195985Enzo Doria10/2015
8702^650285-2785333195756Enzo Doria10/2015
871(69^106397-1)/68195647Paul Bourdelais10/2017
8722^649811+1877573195613Enzo Doria08/2016
8732^649662-170531195568Hans Havermann10/2018
8742^649586+182839195545Enzo Doria11/2016
8752^649537-1867363195531Enzo Doria04/2016
8762^649536-1861499195530Enzo Doria12/2015
877(103*10^195478-1)/3195480Serge Batalov12/2014
8782^649102-59351195400Enzo Doria10/2015
879(2*10^195399+529)/9195399Robert Price01/2018
8802^648988+1178971195365Enzo Doria06/2016
8812^648975-114319195361Enzo Doria02/2015
882(11*10^195350-137)/9195351Robert Price01/2018
8832^648619-24835195254Enzo Doria09/2013
884(14*10^195234-83)/3195235Robert Price12/2018
8855*10^195221+81195222Robert Price03/2019
8862^648190-24737195125Enzo Doria09/2013
887(57^111119+1)/58195110Paul Bourdelais10/2017
88811^187185-90194934Enzo Doria09/2012
8892^647068+77281194787Enzo Doria05/2016
89015^165559-14^165559194713Jean-Louis Charton03/2011
891F(931517)194676Henri Lifchitz09/2008
8924*10^194668+49194669Robert Price01/2019
8932^646589+1179407194643Enzo Doria06/2016
8942^646289-114621194553Enzo Doria05/2015
8952^646236-39659194537Enzo Doria09/2015
896(16*10^194536+53)/3194537Robert Price03/2019
8972^646161-59833194514Enzo Doria11/2015
898(17*10^194502+31)/3194503Robert Price01/2019
8992*10^194413+3194414Robert Price07/2015
9002^645360-1848599194273Enzo Doria08/2015
901(112*10^194150-1)/3194152Serge Batalov12/2014
9022*10^193981-43193982Robert Price04/2018
9032^644382+75169193979Enzo Doria04/2016
9042^644304-1861409193955Enzo Doria11/2015
9055*10^193907-9193908Robert Price05/2015
9062^644043+1876703193877Enzo Doria07/2016
9072^643735+1879733193784Enzo Doria09/2016
908(5^277183+1)/6193742Paul Bourdelais07/2010
9092^643216-286565193628Enzo Doria07/2015
9102^642888-24965193529Enzo Doria09/2013
9112^642448-114825193397Enzo Doria05/2015
9122^642437-1856623193393Enzo Doria10/2015
9132^642039-59797193273Enzo Doria11/2015
91410^193230+513861193231Patrick De Geest07/2018
91510^193230-8001193230Robert Price03/2018
9162^641692-286349193169Enzo Doria07/2015
9172^641690-24737193168Enzo Doria09/2013
9182^641514+1876549193115Enzo Doria07/2016
9192^640888-2785619192927Enzo Doria10/2015
9202^640874-2783741192923Enzo Doria09/2015
921(46*10^192841+683)/9192842Robert Price03/2019
9222^640181+467192714Lelio R Paula08/2013
9232^639536-1850249192520Enzo Doria08/2015
9245*10^192422-43192423Robert Price01/2019
9252^639110-2792441192392Enzo Doria02/2016
9262^638955-29827192345Enzo Doria08/2015
9272^638713-2784223192272Enzo Doria10/2015
9282^638490-113507192205Enzo Doria08/2014
9292^638189-39943192115Enzo Doria09/2015
9302^638110+1877119192091Enzo Doria07/2016
9312^638066-2785211192078Enzo Doria10/2015
9322^637475-115309191900Enzo Doria07/2015
9332^636661+1876577191655Enzo Doria07/2016
934(34^125101-1)/33191589Paul Bourdelais11/2017
9352^636177-1855123191509Enzo Doria09/2015
9362^636158-113627191503Enzo Doria08/2014
937(37*25^136966+63)/4191472Curtis Bright05/2015
9382^636035+79823191466Enzo Doria06/2016
9392^636011-1860847191459Enzo Doria11/2015
9402^635926-1860611191433Enzo Doria11/2015
9413*10^191152-7191153Robert Price08/2015
9422^634883-1865677191119Enzo Doria02/2016
9432^634801+1871957191095Enzo Doria05/2016
944(35*10^191073+1)/9191074Serge Batalov07/2010
9452^634470-59861190995Enzo Doria11/2015
9462^634368-29519190964Enzo Doria08/2015
9472^634188-350609190910Enzo Doria06/2015
948(26*10^190789-131)/3190790Robert Price10/2019
949(13*10^190732-61)/3190733Robert Price11/2018
950(7*10^190683+143)/3190684Robert Price03/2018
9512^633088-113879190579Enzo Doria10/2014
9522^633064+1874911190572Enzo Doria06/2016
953(43*10^190547+83)/9190548Robert Price11/2018
9542^632795-351205190491Enzo Doria06/2015
955(16*10^190420-19)/3190421Robert Price02/2019
956(43*10^190351+101)/9190352Robert Price11/2018
9572^632156+78391190298Enzo Doria06/2016
9582^632082-1851971190276Enzo Doria08/2015
9592^632020+1880311190257Enzo Doria09/2016
9602^631637-462373190142Enzo Doria08/2015
9612^631122-39251189987Enzo Doria08/2015
962(26*10^189928-89)/9189929Robert Price06/2018
9632^630839-97189902Yves Minet07/2017
9642^630359+1788953189757Enzo Doria05/2016
9652^630228+1871971189718Enzo Doria05/2016
9662^630108+781189682Lelio R Paula08/2013
9672^629870-1867811189610Enzo Doria04/2016
968(359^74189-1)/358189558Alexander Zhirkov11/2017
9692^629326+2792929189447Enzo Doria02/2016
970(10^189385-61)/3189385Serge Batalov12/2014
9712^629036+1874011189359Enzo Doria06/2016
9722^628930+80779189327Enzo Doria07/2016
9732^628582+1179439189223Enzo Doria06/2016
974(44*10^188999-503)/9189000Robert Price12/2018
975(16*10^188823+167)/3188824Robert Price06/2019
9762^627037-2785843188757Enzo Doria10/2015
977(16*10^188457+161)/3188458Robert Price02/2019
978L(901657)188436Renaud Lifchitz11/2008
9792^625651+74213188340Enzo Doria04/2016
9802^625584-460919188320Enzo Doria06/2015
981(10^188164+359)/9188164Serge Batalov12/2014
9822^624481-113611187988Enzo Doria08/2014
985(2^624389+125582)/2187960Stefano Morozzi09/2019
983(2^624389+166982)/2187960Stefano Morozzi09/2019
984(2^624389+179886)/2187960Stefano Morozzi09/2019
986(2^624387+64466)/2187959Stefano Morozzi09/2019
987(2^624378+112990)/2187957Stefano Morozzi09/2019
988(2^624380+161986)/2187957Stefano Morozzi09/2019
990(2^624376+55762)/2187956Stefano Morozzi09/2019
989(2^624377+169506)/2187956Stefano Morozzi09/2019
991(2^624355+80178)/2187950Stefano Morozzi09/2019
992(2^624351+61350)/2187949Stefano Morozzi09/2019
993(2^624341+63462)/2187946Stefano Morozzi09/2019
994(2^624344+135990)/2187946Stefano Morozzi09/2019
995(2^624344+183898)/2187946Stefano Morozzi09/2019
997(2^624340+126982)/2187945Stefano Morozzi09/2019
996(2^624338+196110)/2187945Stefano Morozzi09/2019
998(2^624337+105162)/2187944Stefano Morozzi09/2019
999(2^624333+44594)/2187943Stefano Morozzi09/2019
1000(2^624321+88742)/2187940Stefano Morozzi09/2019


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: November, 10 2019 12:07 (Time in France)

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