PRP Records

Probable Primes Top 10000

(301141 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 ?
775625048^14665+14665^25048104358Hans Havermann09/2020
77512^346667+84359104358Stefano Morozzi11/2024
77522^346668+26391104358Stefano Morozzi11/2024
77532^346668+138987104358Stefano Morozzi11/2024
77542^346669+27735104358Stefano Morozzi11/2024
77552^346669+33989104358Stefano Morozzi11/2024
77572^346664+16377104357Stefano Morozzi11/2024
77582^346666+29595104357Stefano Morozzi11/2024
77592^346660+61095104356Stefano Morozzi11/2024
77602^346661+114311104356Stefano Morozzi11/2024
77612^346662+75745104356Stefano Morozzi11/2024
77622^346663+123305104356Stefano Morozzi11/2024
77632^346662+150475104356Stefano Morozzi11/2024
77642^346658+28393104355Stefano Morozzi11/2024
77652^346658+137619104355Stefano Morozzi11/2024
77662^346659+86415104355Stefano Morozzi11/2024
77672^346659+117849104355Stefano Morozzi11/2024
77682^346655+199859104354Stefano Morozzi11/2024
77692^346656+100627104354Stefano Morozzi11/2024
77702^346651+88491104353Stefano Morozzi11/2024
77712^346652+32971104353Stefano Morozzi11/2024
77722^346652+85321104353Stefano Morozzi11/2024
77732^346652+100627104353Stefano Morozzi11/2024
77742^346652+190255104353Stefano Morozzi11/2024
77752^346652+194667104353Stefano Morozzi11/2024
77762^346652+197073104353Stefano Morozzi11/2024
77802^346649+65104352Lelio R Paula09/2011
77772^346647+128475104352Stefano Morozzi11/2024
77782^346647+181169104352Stefano Morozzi11/2024
77792^346648+97381104352Stefano Morozzi11/2024
7781(19*33^68718-600883)/32104350Eric Chen05/2023
77822^346640+73723104350Stefano Morozzi11/2024
77832^346641+169667104350Stefano Morozzi11/2024
77842^346642+100395104350Stefano Morozzi11/2024
77852^346643+61025104350Stefano Morozzi11/2024
77862^346643+160785104350Stefano Morozzi11/2024
77882^346638-17265104349Enzo Doria05/2013
77872^346637+34139104349Stefano Morozzi11/2024
77892^346635+13071104348Stefano Morozzi11/2024
77902^346630+66003104347Stefano Morozzi11/2024
77912^346630+187137104347Stefano Morozzi11/2024
77922^346631+27393104347Stefano Morozzi11/2024
77932^346632+21883104347Stefano Morozzi11/2024
77942^346632+136015104347Stefano Morozzi11/2024
77952^346628+87907104346Stefano Morozzi11/2024
77962^346624+174075104345Stefano Morozzi11/2024
77972^346620+87451104344Stefano Morozzi11/2024
77982^346622+12247104344Stefano Morozzi11/2024
77992^346623+69161104344Stefano Morozzi11/2024
78002^346614+85737104342Stefano Morozzi11/2024
78012^346611+183923104341Stefano Morozzi11/2024
78022^346607+36209104340Stefano Morozzi11/2024
78032^346607+65291104340Stefano Morozzi11/2024
78042^346609+47471104340Stefano Morozzi11/2024
7809(2^346606+2082)/2104339Stefano Morozzi09/2020
7810(2^346607+2070)/2104339Stefano Morozzi09/2020
78052^346605+1041104339Stefano Morozzi11/2024
78062^346605+181167104339Stefano Morozzi11/2024
78072^346606+1035104339Stefano Morozzi11/2024
78082^346606+103863104339Stefano Morozzi11/2024
78112^346601+26529104338Stefano Morozzi11/2024
78122^346603+133431104338Stefano Morozzi11/2024
78132^346597+97661104337Stefano Morozzi11/2024
78142^346597+186809104337Stefano Morozzi11/2024
78152^346598+31719104337Stefano Morozzi11/2024
78162^346598+162513104337Stefano Morozzi11/2024
78172^346599+45731104337Stefano Morozzi11/2024
78182^346599+187061104337Stefano Morozzi11/2024
78192^346600+175993104337Stefano Morozzi11/2024
78202^346595+89753104336Stefano Morozzi11/2024
78212^346595+114491104336Stefano Morozzi11/2024
78222^346596+120183104336Stefano Morozzi11/2024
78232^346591+183651104335Stefano Morozzi11/2024
78242^346591+192149104335Stefano Morozzi11/2024
78252^346592+77347104335Stefano Morozzi11/2024
78262^346592+178161104335Stefano Morozzi11/2024
78272^346592+195985104335Stefano Morozzi11/2024
78282^346589+40607104334Stefano Morozzi11/2024
78292^346590+151533104334Stefano Morozzi11/2024
78302^346584+105103104333Stefano Morozzi11/2024
78312^346585+56861104333Stefano Morozzi11/2024
7837(2^346582+3202)/2104332Stefano Morozzi09/2020
78322^346581+1601104332Stefano Morozzi11/2024
78332^346581+82115104332Stefano Morozzi11/2024
78342^346581+193979104332Stefano Morozzi11/2024
78352^346582+197767104332Stefano Morozzi11/2024
78362^346583+116579104332Stefano Morozzi11/2024
783826092^9967+9967^26092104331Hans Havermann09/2020
78392^346577+47501104331Stefano Morozzi11/2024
78402^346578+163287104331Stefano Morozzi11/2024
78412^346579+37019104331Stefano Morozzi11/2024
78422^346579+119645104331Stefano Morozzi11/2024
78432^346579+157611104331Stefano Morozzi11/2024
78442^346576+100803104330Stefano Morozzi11/2024
78452^346576+144495104330Stefano Morozzi11/2024
78462^346573+13859104329Stefano Morozzi11/2024
78472^346568+110181104328Stefano Morozzi11/2024
78495*10^104326+77104327Robert Price12/2018
78482^346564+151101104327Stefano Morozzi11/2024
7855(2^346564+2026)/2104326Stefano Morozzi09/2020
78502^346561+53385104326Stefano Morozzi11/2024
78512^346561+139791104326Stefano Morozzi11/2024
78522^346562+110383104326Stefano Morozzi11/2024
78532^346563+1013104326Stefano Morozzi11/2024
78542^346563+9305104326Stefano Morozzi11/2024
78562^346558+97033104325Stefano Morozzi11/2024
78572^346556+101283104324Stefano Morozzi11/2024
78582^346551+55043104323Stefano Morozzi11/2024
78592^346547+71855104322Stefano Morozzi11/2024
78602^346548+119695104322Stefano Morozzi11/2024
78612^346550+55249104322Stefano Morozzi11/2024
78622^346550+158655104322Stefano Morozzi11/2024
78632^346545+87885104321Stefano Morozzi11/2024
78642^346545+95105104321Stefano Morozzi11/2024
78652^346546+126763104321Stefano Morozzi11/2024
78662^346546+149397104321Stefano Morozzi11/2024
7867(8925^26569-1)/(8925^163-1)104320Ryan Propper11/2023
78682^346542+128005104320Stefano Morozzi11/2024
78692^346538+123507104319Stefano Morozzi11/2024
78702^346540+118251104319Stefano Morozzi11/2024
78712^346540+128965104319Stefano Morozzi11/2024
78722^346535+138485104318Stefano Morozzi11/2024
78732^346536+149013104318Stefano Morozzi11/2024
78742^346531+98801104317Stefano Morozzi11/2024
78752^346533+12035104317Stefano Morozzi11/2024
78792^346527-111817104316Enzo Doria05/2014
78786^134055+101104316Lelio R Paula11/2016
7876fibonacci(499147)-4104316Jon Grantham08/2023
78772^346529+101351104316Stefano Morozzi11/2024
78802^346524+81585104315Stefano Morozzi11/2024
78812^346524+184821104315Stefano Morozzi11/2024
78822^346525+41051104315Stefano Morozzi11/2024
78832^346525+61845104315Stefano Morozzi11/2024
78842^346521+47439104314Stefano Morozzi11/2024
78852^346522+34689104314Stefano Morozzi11/2024
78862^346519+24543104313Stefano Morozzi11/2024
78872^346519+75119104313Stefano Morozzi11/2024
789192105!4+8104312Robert Price09/2019
78882^346514+11023104312Stefano Morozzi11/2024
78892^346514+22009104312Stefano Morozzi11/2024
78902^346516+107031104312Stefano Morozzi11/2024
78922^346511+65675104311Stefano Morozzi11/2024
78932^346512+105345104311Stefano Morozzi11/2024
78942^346513+80387104311Stefano Morozzi11/2024
78952^346510+104955104310Stefano Morozzi11/2024
78962^346510+145347104310Stefano Morozzi11/2024
78972^346506+105537104309Stefano Morozzi11/2024
78982^346506+145353104309Stefano Morozzi11/2024
78992^346503+160109104308Stefano Morozzi11/2024
79002^346494+155215104306Stefano Morozzi11/2024
79012^346495+26243104306Stefano Morozzi11/2024
79022^346497+108749104306Stefano Morozzi11/2024
79032^346488+146631104304Stefano Morozzi11/2024
79042^346489+6035104304Stefano Morozzi11/2024
79052^346489+16389104304Stefano Morozzi11/2024
79062^346489+175959104304Stefano Morozzi11/2024
79072^346484+119491104303Stefano Morozzi11/2024
79082^346487+12125104303Stefano Morozzi11/2024
79092^346487+92103104303Stefano Morozzi11/2024
79102^346481+199815104302Stefano Morozzi11/2024
79112^346478+2335104301Stefano Morozzi11/2024
79122^346478+121773104301Stefano Morozzi11/2024
79132^346479+80703104301Stefano Morozzi11/2024
79142^346479+164693104301Stefano Morozzi11/2024
79152^346480+156951104301Stefano Morozzi11/2024
79162^346480+176247104301Stefano Morozzi11/2024
79172^346475+178953104300Stefano Morozzi11/2024
79182^346476+83935104300Stefano Morozzi11/2024
79192^346470+182623104298Stefano Morozzi11/2024
79202^346464+54007104297Stefano Morozzi11/2024
79212^346464+55287104297Stefano Morozzi11/2024
79222^346464+84411104297Stefano Morozzi11/2024
79232^346465+15905104297Stefano Morozzi11/2024
79242^346465+27797104297Stefano Morozzi11/2024
79252^346465+85815104297Stefano Morozzi11/2024
79262^346465+92787104297Stefano Morozzi11/2024
79272^346466+133369104297Stefano Morozzi11/2024
79282^346461+30591104296Stefano Morozzi11/2024
79292^346462+74067104296Stefano Morozzi11/2024
79302^346458+68947104295Stefano Morozzi11/2024
79312^346459+39333104295Stefano Morozzi11/2024
79322^346459+110355104295Stefano Morozzi11/2024
79332^346454+166035104294Stefano Morozzi11/2024
79342^346456+132385104294Stefano Morozzi11/2024
79352^346456+138727104294Stefano Morozzi11/2024
79362^346456+176767104294Stefano Morozzi11/2024
79372^346451+72969104293Stefano Morozzi11/2024
79382^346452+10441104293Stefano Morozzi11/2024
79392^346449+170595104292Stefano Morozzi11/2024
79402^346450+70143104292Stefano Morozzi11/2024
7941(7^123407-5^123407)/2104291Jon Grantham08/2023
79422^346445+194585104291Stefano Morozzi11/2024
79432^346447+13715104291Stefano Morozzi11/2024
79442^346447+188493104291Stefano Morozzi11/2024
79452^346441+43529104290Stefano Morozzi11/2024
79462^346441+105707104290Stefano Morozzi11/2024
79472^346443+97995104290Stefano Morozzi11/2024
79482^346438+125667104289Stefano Morozzi11/2024
79492^346438+173595104289Stefano Morozzi11/2024
79502^346434+155605104288Stefano Morozzi11/2024
79512^346435+110823104288Stefano Morozzi11/2024
79522^346435+139281104288Stefano Morozzi11/2024
79532^346431+2543104287Stefano Morozzi11/2024
79542^346432+177181104287Stefano Morozzi11/2024
79552^346433+35699104287Stefano Morozzi11/2024
79562^346433+108015104287Stefano Morozzi11/2024
79572^346429+100365104286Stefano Morozzi11/2024
79582^346424+104841104285Stefano Morozzi11/2024
79592^346425+136095104285Stefano Morozzi11/2024
79602^346425+184971104285Stefano Morozzi11/2024
79612^346426+74325104285Stefano Morozzi11/2024
79622^346427+30795104285Stefano Morozzi11/2024
79632^346421+42971104284Stefano Morozzi11/2024
79642^346421+82577104284Stefano Morozzi11/2024
79652^346423+142533104284Stefano Morozzi11/2024
79666^134013+163104283Lelio R Paula11/2016
79672^346414+165775104282Stefano Morozzi11/2024
796810^(2*52140+1)-10^52140-1104281Robert Price07/2023
79692^346411+106893104281Stefano Morozzi11/2024
79702^346412+157935104281Stefano Morozzi11/2024
79712^346413+117485104281Stefano Morozzi11/2024
79722^346408+8085104280Stefano Morozzi11/2024
79732^346408+24423104280Stefano Morozzi11/2024
79742^346409+145047104280Stefano Morozzi11/2024
79752^346410+172533104280Stefano Morozzi11/2024
79762^346406+58417104279Stefano Morozzi11/2024
79772^346406+198315104279Stefano Morozzi11/2024
79782^346407+172509104279Stefano Morozzi11/2024
79792^346401+180129104278Stefano Morozzi11/2024
79802^346402+16897104278Stefano Morozzi11/2024
79812^346402+114829104278Stefano Morozzi11/2024
79822^346398+91623104277Stefano Morozzi11/2024
79832^346398+117369104277Stefano Morozzi11/2024
79842^346400+100141104277Stefano Morozzi11/2024
79852^346400+183625104277Stefano Morozzi11/2024
79862^346395+87281104276Stefano Morozzi11/2024
79872^346391+28833104275Stefano Morozzi11/2024
79882^346392+33715104275Stefano Morozzi11/2024
79892^346392+37507104275Stefano Morozzi11/2024
79902^346392+197617104275Stefano Morozzi11/2024
79912^346393+45929104275Stefano Morozzi11/2024
79922^346388+27223104274Stefano Morozzi11/2024
79932^346388+29187104274Stefano Morozzi11/2024
79942^346388+114657104274Stefano Morozzi11/2024
79952^346388+158667104274Stefano Morozzi11/2024
7996(22*10^104272-61)/3104273Robert Price03/2022
79972^346385+150947104273Stefano Morozzi11/2024
79982^346385+179309104273Stefano Morozzi11/2024
79992^346387+80549104273Stefano Morozzi11/2024
80002^346387+90309104273Stefano Morozzi11/2024


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: March, 26 2025 22:40 (Time in France)

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