PRP Records

Probable Primes Top 10000

(301901 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 ?
82512^346666+29595104357Stefano Morozzi11/2024
82522^346660+61095104356Stefano Morozzi11/2024
82532^346661+114311104356Stefano Morozzi11/2024
82542^346662+75745104356Stefano Morozzi11/2024
82552^346663+123305104356Stefano Morozzi11/2024
82562^346662+150475104356Stefano Morozzi11/2024
82572^346658+28393104355Stefano Morozzi11/2024
82582^346658+137619104355Stefano Morozzi11/2024
82592^346659+86415104355Stefano Morozzi11/2024
82602^346659+117849104355Stefano Morozzi11/2024
82612^346655+199859104354Stefano Morozzi11/2024
82622^346656+100627104354Stefano Morozzi11/2024
82632^346651+88491104353Stefano Morozzi11/2024
82642^346652+32971104353Stefano Morozzi11/2024
82652^346652+85321104353Stefano Morozzi11/2024
82662^346652+100627104353Stefano Morozzi11/2024
82672^346652+190255104353Stefano Morozzi11/2024
82682^346652+194667104353Stefano Morozzi11/2024
82692^346652+197073104353Stefano Morozzi11/2024
82732^346649+65104352Lelio R Paula09/2011
82702^346647+128475104352Stefano Morozzi11/2024
82712^346647+181169104352Stefano Morozzi11/2024
82722^346648+97381104352Stefano Morozzi11/2024
8274(19*33^68718-600883)/32104350Eric Chen05/2023
82752^346640+73723104350Stefano Morozzi11/2024
82762^346641+169667104350Stefano Morozzi11/2024
82772^346642+100395104350Stefano Morozzi11/2024
82782^346643+61025104350Stefano Morozzi11/2024
82792^346643+160785104350Stefano Morozzi11/2024
82812^346638-17265104349Enzo Doria05/2013
82802^346637+34139104349Stefano Morozzi11/2024
82822^346635+13071104348Stefano Morozzi11/2024
82832^346630+66003104347Stefano Morozzi11/2024
82842^346630+187137104347Stefano Morozzi11/2024
82852^346631+27393104347Stefano Morozzi11/2024
82862^346632+21883104347Stefano Morozzi11/2024
82872^346632+136015104347Stefano Morozzi11/2024
82882^346628+87907104346Stefano Morozzi11/2024
82892^346624+174075104345Stefano Morozzi11/2024
82902^346620+87451104344Stefano Morozzi11/2024
82912^346622+12247104344Stefano Morozzi11/2024
82922^346623+69161104344Stefano Morozzi11/2024
82932^346614+85737104342Stefano Morozzi11/2024
82942^346611+183923104341Stefano Morozzi11/2024
82952^346607+36209104340Stefano Morozzi11/2024
82962^346607+65291104340Stefano Morozzi11/2024
82972^346609+47471104340Stefano Morozzi11/2024
8302(2^346606+2082)/2104339Stefano Morozzi09/2020
8303(2^346607+2070)/2104339Stefano Morozzi09/2020
82982^346605+1041104339Stefano Morozzi11/2024
82992^346605+181167104339Stefano Morozzi11/2024
83002^346606+1035104339Stefano Morozzi11/2024
83012^346606+103863104339Stefano Morozzi11/2024
83042^346601+26529104338Stefano Morozzi11/2024
83052^346603+133431104338Stefano Morozzi11/2024
83062^346597+97661104337Stefano Morozzi11/2024
83072^346597+186809104337Stefano Morozzi11/2024
83082^346598+31719104337Stefano Morozzi11/2024
83092^346598+162513104337Stefano Morozzi11/2024
83102^346599+45731104337Stefano Morozzi11/2024
83112^346599+187061104337Stefano Morozzi11/2024
83122^346600+175993104337Stefano Morozzi11/2024
83132^346595+89753104336Stefano Morozzi11/2024
83142^346595+114491104336Stefano Morozzi11/2024
83152^346596+120183104336Stefano Morozzi11/2024
83162^346591+183651104335Stefano Morozzi11/2024
83172^346591+192149104335Stefano Morozzi11/2024
83182^346592+77347104335Stefano Morozzi11/2024
83192^346592+178161104335Stefano Morozzi11/2024
83202^346592+195985104335Stefano Morozzi11/2024
83212^346589+40607104334Stefano Morozzi11/2024
83222^346590+151533104334Stefano Morozzi11/2024
83232^346584+105103104333Stefano Morozzi11/2024
83242^346585+56861104333Stefano Morozzi11/2024
8330(2^346582+3202)/2104332Stefano Morozzi09/2020
83252^346581+1601104332Stefano Morozzi11/2024
83262^346581+82115104332Stefano Morozzi11/2024
83272^346581+193979104332Stefano Morozzi11/2024
83282^346582+197767104332Stefano Morozzi11/2024
83292^346583+116579104332Stefano Morozzi11/2024
833126092^9967+9967^26092104331Hans Havermann09/2020
83322^346577+47501104331Stefano Morozzi11/2024
83332^346578+163287104331Stefano Morozzi11/2024
83342^346579+37019104331Stefano Morozzi11/2024
83352^346579+119645104331Stefano Morozzi11/2024
83362^346579+157611104331Stefano Morozzi11/2024
83372^346576+100803104330Stefano Morozzi11/2024
83382^346576+144495104330Stefano Morozzi11/2024
83392^346573+13859104329Stefano Morozzi11/2024
83402^346568+110181104328Stefano Morozzi11/2024
83425*10^104326+77104327Robert Price12/2018
83412^346564+151101104327Stefano Morozzi11/2024
8348(2^346564+2026)/2104326Stefano Morozzi09/2020
83432^346561+53385104326Stefano Morozzi11/2024
83442^346561+139791104326Stefano Morozzi11/2024
83452^346562+110383104326Stefano Morozzi11/2024
83462^346563+1013104326Stefano Morozzi11/2024
83472^346563+9305104326Stefano Morozzi11/2024
83492^346558+97033104325Stefano Morozzi11/2024
83502^346556+101283104324Stefano Morozzi11/2024
83512^346551+55043104323Stefano Morozzi11/2024
83522^346547+71855104322Stefano Morozzi11/2024
83532^346548+119695104322Stefano Morozzi11/2024
83542^346550+55249104322Stefano Morozzi11/2024
83552^346550+158655104322Stefano Morozzi11/2024
83562^346545+87885104321Stefano Morozzi11/2024
83572^346545+95105104321Stefano Morozzi11/2024
83582^346546+126763104321Stefano Morozzi11/2024
83592^346546+149397104321Stefano Morozzi11/2024
8360(8925^26569-1)/(8925^163-1)104320Ryan Propper11/2023
83612^346542+128005104320Stefano Morozzi11/2024
83622^346538+123507104319Stefano Morozzi11/2024
83632^346540+118251104319Stefano Morozzi11/2024
83642^346540+128965104319Stefano Morozzi11/2024
83652^346535+138485104318Stefano Morozzi11/2024
83662^346536+149013104318Stefano Morozzi11/2024
83672^346531+98801104317Stefano Morozzi11/2024
83682^346533+12035104317Stefano Morozzi11/2024
83722^346527-111817104316Enzo Doria05/2014
83716^134055+101104316Lelio R Paula11/2016
8369fibonacci(499147)-4104316Jon Grantham08/2023
83702^346529+101351104316Stefano Morozzi11/2024
83732^346524+81585104315Stefano Morozzi11/2024
83742^346524+184821104315Stefano Morozzi11/2024
83752^346525+41051104315Stefano Morozzi11/2024
83762^346525+61845104315Stefano Morozzi11/2024
83772^346521+47439104314Stefano Morozzi11/2024
83782^346522+34689104314Stefano Morozzi11/2024
83792^346519+24543104313Stefano Morozzi11/2024
83802^346519+75119104313Stefano Morozzi11/2024
838492105!4+8104312Robert Price09/2019
83812^346514+11023104312Stefano Morozzi11/2024
83822^346514+22009104312Stefano Morozzi11/2024
83832^346516+107031104312Stefano Morozzi11/2024
83852^346511+65675104311Stefano Morozzi11/2024
83862^346512+105345104311Stefano Morozzi11/2024
83872^346513+80387104311Stefano Morozzi11/2024
83882^346510+104955104310Stefano Morozzi11/2024
83892^346510+145347104310Stefano Morozzi11/2024
83902^346506+105537104309Stefano Morozzi11/2024
83912^346506+145353104309Stefano Morozzi11/2024
83922^346503+160109104308Stefano Morozzi11/2024
83932^346494+155215104306Stefano Morozzi11/2024
83942^346495+26243104306Stefano Morozzi11/2024
83952^346497+108749104306Stefano Morozzi11/2024
83962^346488+146631104304Stefano Morozzi11/2024
83972^346489+6035104304Stefano Morozzi11/2024
83982^346489+16389104304Stefano Morozzi11/2024
83992^346489+175959104304Stefano Morozzi11/2024
84002^346484+119491104303Stefano Morozzi11/2024
84012^346487+12125104303Stefano Morozzi11/2024
84022^346487+92103104303Stefano Morozzi11/2024
84032^346481+199815104302Stefano Morozzi11/2024
84042^346478+2335104301Stefano Morozzi11/2024
84052^346478+121773104301Stefano Morozzi11/2024
84062^346479+80703104301Stefano Morozzi11/2024
84072^346479+164693104301Stefano Morozzi11/2024
84082^346480+156951104301Stefano Morozzi11/2024
84092^346480+176247104301Stefano Morozzi11/2024
84102^346475+178953104300Stefano Morozzi11/2024
84112^346476+83935104300Stefano Morozzi11/2024
84122^346470+182623104298Stefano Morozzi11/2024
84132^346464+54007104297Stefano Morozzi11/2024
84142^346464+55287104297Stefano Morozzi11/2024
84152^346464+84411104297Stefano Morozzi11/2024
84162^346465+15905104297Stefano Morozzi11/2024
84172^346465+27797104297Stefano Morozzi11/2024
84182^346465+85815104297Stefano Morozzi11/2024
84192^346465+92787104297Stefano Morozzi11/2024
84202^346466+133369104297Stefano Morozzi11/2024
84212^346461+30591104296Stefano Morozzi11/2024
84222^346462+74067104296Stefano Morozzi11/2024
84232^346458+68947104295Stefano Morozzi11/2024
84242^346459+39333104295Stefano Morozzi11/2024
84252^346459+110355104295Stefano Morozzi11/2024
84262^346454+166035104294Stefano Morozzi11/2024
84272^346456+132385104294Stefano Morozzi11/2024
84282^346456+138727104294Stefano Morozzi11/2024
84292^346456+176767104294Stefano Morozzi11/2024
84302^346451+72969104293Stefano Morozzi11/2024
84312^346452+10441104293Stefano Morozzi11/2024
84322^346449+170595104292Stefano Morozzi11/2024
84332^346450+70143104292Stefano Morozzi11/2024
8434(7^123407-5^123407)/2104291Jon Grantham08/2023
84352^346445+194585104291Stefano Morozzi11/2024
84362^346447+13715104291Stefano Morozzi11/2024
84372^346447+188493104291Stefano Morozzi11/2024
84382^346441+43529104290Stefano Morozzi11/2024
84392^346441+105707104290Stefano Morozzi11/2024
84402^346443+97995104290Stefano Morozzi11/2024
84412^346438+125667104289Stefano Morozzi11/2024
84422^346438+173595104289Stefano Morozzi11/2024
84432^346434+155605104288Stefano Morozzi11/2024
84442^346435+110823104288Stefano Morozzi11/2024
84452^346435+139281104288Stefano Morozzi11/2024
84462^346431+2543104287Stefano Morozzi11/2024
84472^346432+177181104287Stefano Morozzi11/2024
84482^346433+35699104287Stefano Morozzi11/2024
84492^346433+108015104287Stefano Morozzi11/2024
84502^346429+100365104286Stefano Morozzi11/2024
84512^346424+104841104285Stefano Morozzi11/2024
84522^346425+136095104285Stefano Morozzi11/2024
84532^346425+184971104285Stefano Morozzi11/2024
84542^346426+74325104285Stefano Morozzi11/2024
84552^346427+30795104285Stefano Morozzi11/2024
84562^346421+42971104284Stefano Morozzi11/2024
84572^346421+82577104284Stefano Morozzi11/2024
84582^346423+142533104284Stefano Morozzi11/2024
84596^134013+163104283Lelio R Paula11/2016
84602^346414+165775104282Stefano Morozzi11/2024
846110^(2*52140+1)-10^52140-1104281Robert Price07/2023
84622^346411+106893104281Stefano Morozzi11/2024
84632^346412+157935104281Stefano Morozzi11/2024
84642^346413+117485104281Stefano Morozzi11/2024
84652^346408+8085104280Stefano Morozzi11/2024
84662^346408+24423104280Stefano Morozzi11/2024
84672^346409+145047104280Stefano Morozzi11/2024
84682^346410+172533104280Stefano Morozzi11/2024
84692^346406+58417104279Stefano Morozzi11/2024
84702^346406+198315104279Stefano Morozzi11/2024
84712^346407+172509104279Stefano Morozzi11/2024
84722^346401+180129104278Stefano Morozzi11/2024
84732^346402+16897104278Stefano Morozzi11/2024
84742^346402+114829104278Stefano Morozzi11/2024
84752^346398+91623104277Stefano Morozzi11/2024
84762^346398+117369104277Stefano Morozzi11/2024
84772^346400+100141104277Stefano Morozzi11/2024
84782^346400+183625104277Stefano Morozzi11/2024
84792^346395+87281104276Stefano Morozzi11/2024
84802^346391+28833104275Stefano Morozzi11/2024
84812^346392+33715104275Stefano Morozzi11/2024
84822^346392+37507104275Stefano Morozzi11/2024
84832^346392+197617104275Stefano Morozzi11/2024
84842^346393+45929104275Stefano Morozzi11/2024
84852^346388+27223104274Stefano Morozzi11/2024
84862^346388+29187104274Stefano Morozzi11/2024
84872^346388+114657104274Stefano Morozzi11/2024
84882^346388+158667104274Stefano Morozzi11/2024
8489(22*10^104272-61)/3104273Robert Price03/2022
84902^346385+150947104273Stefano Morozzi11/2024
84912^346385+179309104273Stefano Morozzi11/2024
84922^346387+80549104273Stefano Morozzi11/2024
84932^346387+90309104273Stefano Morozzi11/2024
84942^346387+157473104273Stefano Morozzi11/2024
84952^346381+67497104272Stefano Morozzi11/2024
84962^346379+72419104271Stefano Morozzi11/2024
84972^346379+118811104271Stefano Morozzi11/2024
84982^346377+97379104270Stefano Morozzi11/2024
84992^346371+144159104269Stefano Morozzi11/2024
85002^346371+167213104269Stefano Morozzi11/2024


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: September, 13 2025 16:29 (Time in France)

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