PRP Records

Probable Primes Top 10000

(297738 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 ?
75012^346664+16377104357Stefano Morozzi11/2024
75022^346666+29595104357Stefano Morozzi11/2024
75032^346660+61095104356Stefano Morozzi11/2024
75042^346661+114311104356Stefano Morozzi11/2024
75052^346662+75745104356Stefano Morozzi11/2024
75062^346663+123305104356Stefano Morozzi11/2024
75072^346662+150475104356Stefano Morozzi11/2024
75082^346658+28393104355Stefano Morozzi11/2024
75092^346658+137619104355Stefano Morozzi11/2024
75102^346659+86415104355Stefano Morozzi11/2024
75112^346659+117849104355Stefano Morozzi11/2024
75122^346655+199859104354Stefano Morozzi11/2024
75132^346656+100627104354Stefano Morozzi11/2024
75142^346651+88491104353Stefano Morozzi11/2024
75152^346652+32971104353Stefano Morozzi11/2024
75162^346652+85321104353Stefano Morozzi11/2024
75172^346652+100627104353Stefano Morozzi11/2024
75182^346652+190255104353Stefano Morozzi11/2024
75192^346652+194667104353Stefano Morozzi11/2024
75202^346652+197073104353Stefano Morozzi11/2024
75242^346649+65104352Lelio R Paula09/2011
75212^346647+128475104352Stefano Morozzi11/2024
75222^346647+181169104352Stefano Morozzi11/2024
75232^346648+97381104352Stefano Morozzi11/2024
7525(19*33^68718-600883)/32104350Eric Chen05/2023
75262^346640+73723104350Stefano Morozzi11/2024
75272^346641+169667104350Stefano Morozzi11/2024
75282^346642+100395104350Stefano Morozzi11/2024
75292^346643+61025104350Stefano Morozzi11/2024
75302^346643+160785104350Stefano Morozzi11/2024
75322^346638-17265104349Enzo Doria05/2013
75312^346637+34139104349Stefano Morozzi11/2024
75332^346635+13071104348Stefano Morozzi11/2024
75342^346630+66003104347Stefano Morozzi11/2024
75352^346630+187137104347Stefano Morozzi11/2024
75362^346631+27393104347Stefano Morozzi11/2024
75372^346632+21883104347Stefano Morozzi11/2024
75382^346632+136015104347Stefano Morozzi11/2024
75392^346628+87907104346Stefano Morozzi11/2024
75402^346624+174075104345Stefano Morozzi11/2024
75412^346620+87451104344Stefano Morozzi11/2024
75422^346622+12247104344Stefano Morozzi11/2024
75432^346623+69161104344Stefano Morozzi11/2024
75442^346614+85737104342Stefano Morozzi11/2024
75452^346611+183923104341Stefano Morozzi11/2024
75462^346607+36209104340Stefano Morozzi11/2024
75472^346607+65291104340Stefano Morozzi11/2024
75482^346609+47471104340Stefano Morozzi11/2024
7553(2^346606+2082)/2104339Stefano Morozzi09/2020
7554(2^346607+2070)/2104339Stefano Morozzi09/2020
75492^346605+1041104339Stefano Morozzi11/2024
75502^346605+181167104339Stefano Morozzi11/2024
75512^346606+1035104339Stefano Morozzi11/2024
75522^346606+103863104339Stefano Morozzi11/2024
75552^346601+26529104338Stefano Morozzi11/2024
75562^346603+133431104338Stefano Morozzi11/2024
75572^346597+97661104337Stefano Morozzi11/2024
75582^346597+186809104337Stefano Morozzi11/2024
75592^346598+31719104337Stefano Morozzi11/2024
75602^346598+162513104337Stefano Morozzi11/2024
75612^346599+45731104337Stefano Morozzi11/2024
75622^346599+187061104337Stefano Morozzi11/2024
75632^346600+175993104337Stefano Morozzi11/2024
75642^346595+89753104336Stefano Morozzi11/2024
75652^346595+114491104336Stefano Morozzi11/2024
75662^346596+120183104336Stefano Morozzi11/2024
75672^346591+183651104335Stefano Morozzi11/2024
75682^346591+192149104335Stefano Morozzi11/2024
75692^346592+77347104335Stefano Morozzi11/2024
75702^346592+178161104335Stefano Morozzi11/2024
75712^346592+195985104335Stefano Morozzi11/2024
75722^346589+40607104334Stefano Morozzi11/2024
75732^346590+151533104334Stefano Morozzi11/2024
75742^346584+105103104333Stefano Morozzi11/2024
75752^346585+56861104333Stefano Morozzi11/2024
7581(2^346582+3202)/2104332Stefano Morozzi09/2020
75762^346581+1601104332Stefano Morozzi11/2024
75772^346581+82115104332Stefano Morozzi11/2024
75782^346581+193979104332Stefano Morozzi11/2024
75792^346582+197767104332Stefano Morozzi11/2024
75802^346583+116579104332Stefano Morozzi11/2024
758226092^9967+9967^26092104331Hans Havermann09/2020
75832^346577+47501104331Stefano Morozzi11/2024
75842^346578+163287104331Stefano Morozzi11/2024
75852^346579+37019104331Stefano Morozzi11/2024
75862^346579+119645104331Stefano Morozzi11/2024
75872^346579+157611104331Stefano Morozzi11/2024
75882^346576+100803104330Stefano Morozzi11/2024
75892^346576+144495104330Stefano Morozzi11/2024
75902^346573+13859104329Stefano Morozzi11/2024
75912^346568+110181104328Stefano Morozzi11/2024
75935*10^104326+77104327Robert Price12/2018
75922^346564+151101104327Stefano Morozzi11/2024
7599(2^346564+2026)/2104326Stefano Morozzi09/2020
75942^346561+53385104326Stefano Morozzi11/2024
75952^346561+139791104326Stefano Morozzi11/2024
75962^346562+110383104326Stefano Morozzi11/2024
75972^346563+1013104326Stefano Morozzi11/2024
75982^346563+9305104326Stefano Morozzi11/2024
76002^346558+97033104325Stefano Morozzi11/2024
76012^346556+101283104324Stefano Morozzi11/2024
76022^346551+55043104323Stefano Morozzi11/2024
76032^346547+71855104322Stefano Morozzi11/2024
76042^346548+119695104322Stefano Morozzi11/2024
76052^346550+55249104322Stefano Morozzi11/2024
76062^346550+158655104322Stefano Morozzi11/2024
76072^346545+87885104321Stefano Morozzi11/2024
76082^346545+95105104321Stefano Morozzi11/2024
76092^346546+126763104321Stefano Morozzi11/2024
76102^346546+149397104321Stefano Morozzi11/2024
7611(8925^26569-1)/(8925^163-1)104320Ryan Propper11/2023
76122^346542+128005104320Stefano Morozzi11/2024
76132^346538+123507104319Stefano Morozzi11/2024
76142^346540+118251104319Stefano Morozzi11/2024
76152^346540+128965104319Stefano Morozzi11/2024
76162^346535+138485104318Stefano Morozzi11/2024
76172^346536+149013104318Stefano Morozzi11/2024
76182^346531+98801104317Stefano Morozzi11/2024
76192^346533+12035104317Stefano Morozzi11/2024
76232^346527-111817104316Enzo Doria05/2014
76226^134055+101104316Lelio R Paula11/2016
7620fibonacci(499147)-4104316Jon Grantham08/2023
76212^346529+101351104316Stefano Morozzi11/2024
76242^346524+81585104315Stefano Morozzi11/2024
76252^346524+184821104315Stefano Morozzi11/2024
76262^346525+41051104315Stefano Morozzi11/2024
76272^346525+61845104315Stefano Morozzi11/2024
76282^346521+47439104314Stefano Morozzi11/2024
76292^346522+34689104314Stefano Morozzi11/2024
76302^346519+24543104313Stefano Morozzi11/2024
76312^346519+75119104313Stefano Morozzi11/2024
763592105!4+8104312Robert Price09/2019
76322^346514+11023104312Stefano Morozzi11/2024
76332^346514+22009104312Stefano Morozzi11/2024
76342^346516+107031104312Stefano Morozzi11/2024
76362^346511+65675104311Stefano Morozzi11/2024
76372^346512+105345104311Stefano Morozzi11/2024
76382^346513+80387104311Stefano Morozzi11/2024
76392^346510+104955104310Stefano Morozzi11/2024
76402^346510+145347104310Stefano Morozzi11/2024
76412^346506+105537104309Stefano Morozzi11/2024
76422^346506+145353104309Stefano Morozzi11/2024
76432^346503+160109104308Stefano Morozzi11/2024
76442^346494+155215104306Stefano Morozzi11/2024
76452^346495+26243104306Stefano Morozzi11/2024
76462^346497+108749104306Stefano Morozzi11/2024
76472^346488+146631104304Stefano Morozzi11/2024
76482^346489+6035104304Stefano Morozzi11/2024
76492^346489+16389104304Stefano Morozzi11/2024
76502^346489+175959104304Stefano Morozzi11/2024
76512^346484+119491104303Stefano Morozzi11/2024
76522^346487+12125104303Stefano Morozzi11/2024
76532^346487+92103104303Stefano Morozzi11/2024
76542^346481+199815104302Stefano Morozzi11/2024
76552^346478+2335104301Stefano Morozzi11/2024
76562^346478+121773104301Stefano Morozzi11/2024
76572^346479+80703104301Stefano Morozzi11/2024
76582^346479+164693104301Stefano Morozzi11/2024
76592^346480+156951104301Stefano Morozzi11/2024
76602^346480+176247104301Stefano Morozzi11/2024
76612^346475+178953104300Stefano Morozzi11/2024
76622^346476+83935104300Stefano Morozzi11/2024
76632^346470+182623104298Stefano Morozzi11/2024
76642^346464+54007104297Stefano Morozzi11/2024
76652^346464+55287104297Stefano Morozzi11/2024
76662^346464+84411104297Stefano Morozzi11/2024
76672^346465+15905104297Stefano Morozzi11/2024
76682^346465+27797104297Stefano Morozzi11/2024
76692^346465+85815104297Stefano Morozzi11/2024
76702^346465+92787104297Stefano Morozzi11/2024
76712^346466+133369104297Stefano Morozzi11/2024
76722^346461+30591104296Stefano Morozzi11/2024
76732^346462+74067104296Stefano Morozzi11/2024
76742^346458+68947104295Stefano Morozzi11/2024
76752^346459+39333104295Stefano Morozzi11/2024
76762^346459+110355104295Stefano Morozzi11/2024
76772^346454+166035104294Stefano Morozzi11/2024
76782^346456+132385104294Stefano Morozzi11/2024
76792^346456+138727104294Stefano Morozzi11/2024
76802^346456+176767104294Stefano Morozzi11/2024
76812^346451+72969104293Stefano Morozzi11/2024
76822^346452+10441104293Stefano Morozzi11/2024
76832^346449+170595104292Stefano Morozzi11/2024
76842^346450+70143104292Stefano Morozzi11/2024
7685(7^123407-5^123407)/2104291Jon Grantham08/2023
76862^346445+194585104291Stefano Morozzi11/2024
76872^346447+13715104291Stefano Morozzi11/2024
76882^346447+188493104291Stefano Morozzi11/2024
76892^346441+43529104290Stefano Morozzi11/2024
76902^346441+105707104290Stefano Morozzi11/2024
76912^346443+97995104290Stefano Morozzi11/2024
76922^346438+125667104289Stefano Morozzi11/2024
76932^346438+173595104289Stefano Morozzi11/2024
76942^346434+155605104288Stefano Morozzi11/2024
76952^346435+110823104288Stefano Morozzi11/2024
76962^346435+139281104288Stefano Morozzi11/2024
76972^346431+2543104287Stefano Morozzi11/2024
76982^346432+177181104287Stefano Morozzi11/2024
76992^346433+35699104287Stefano Morozzi11/2024
77002^346433+108015104287Stefano Morozzi11/2024
77012^346429+100365104286Stefano Morozzi11/2024
77022^346424+104841104285Stefano Morozzi11/2024
77032^346425+136095104285Stefano Morozzi11/2024
77042^346425+184971104285Stefano Morozzi11/2024
77052^346426+74325104285Stefano Morozzi11/2024
77062^346427+30795104285Stefano Morozzi11/2024
77072^346421+42971104284Stefano Morozzi11/2024
77082^346421+82577104284Stefano Morozzi11/2024
77092^346423+142533104284Stefano Morozzi11/2024
77106^134013+163104283Lelio R Paula11/2016
77112^346414+165775104282Stefano Morozzi11/2024
771210^(2*52140+1)-10^52140-1104281Robert Price07/2023
77132^346411+106893104281Stefano Morozzi11/2024
77142^346412+157935104281Stefano Morozzi11/2024
77152^346413+117485104281Stefano Morozzi11/2024
77162^346408+8085104280Stefano Morozzi11/2024
77172^346408+24423104280Stefano Morozzi11/2024
77182^346409+145047104280Stefano Morozzi11/2024
77192^346410+172533104280Stefano Morozzi11/2024
77202^346406+58417104279Stefano Morozzi11/2024
77212^346406+198315104279Stefano Morozzi11/2024
77222^346407+172509104279Stefano Morozzi11/2024
77232^346401+180129104278Stefano Morozzi11/2024
77242^346402+16897104278Stefano Morozzi11/2024
77252^346402+114829104278Stefano Morozzi11/2024
77262^346398+91623104277Stefano Morozzi11/2024
77272^346398+117369104277Stefano Morozzi11/2024
77282^346400+100141104277Stefano Morozzi11/2024
77292^346400+183625104277Stefano Morozzi11/2024
77302^346395+87281104276Stefano Morozzi11/2024
77312^346391+28833104275Stefano Morozzi11/2024
77322^346392+33715104275Stefano Morozzi11/2024
77332^346392+37507104275Stefano Morozzi11/2024
77342^346392+197617104275Stefano Morozzi11/2024
77352^346393+45929104275Stefano Morozzi11/2024
77362^346388+27223104274Stefano Morozzi11/2024
77372^346388+29187104274Stefano Morozzi11/2024
77382^346388+114657104274Stefano Morozzi11/2024
77392^346388+158667104274Stefano Morozzi11/2024
7740(22*10^104272-61)/3104273Robert Price03/2022
77412^346385+150947104273Stefano Morozzi11/2024
77422^346385+179309104273Stefano Morozzi11/2024
77432^346387+80549104273Stefano Morozzi11/2024
77442^346387+90309104273Stefano Morozzi11/2024
77452^346387+157473104273Stefano Morozzi11/2024
77462^346381+67497104272Stefano Morozzi11/2024
77472^346379+72419104271Stefano Morozzi11/2024
77482^346379+118811104271Stefano Morozzi11/2024
77492^346377+97379104270Stefano Morozzi11/2024
77502^346371+144159104269Stefano Morozzi11/2024


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: November, 12 2024 22:37 (Time in France)

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