PRP Records

Probable Primes Top 10000

(301737 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 ?
80012^346787+81605104394Stefano Morozzi11/2024
80022^346789+2015104394Stefano Morozzi11/2024
80032^346789+19595104394Stefano Morozzi11/2024
80042^346784+84771104393Stefano Morozzi11/2024
80052^346784+124243104393Stefano Morozzi11/2024
80062^346784+143707104393Stefano Morozzi11/2024
80072^346786+66117104393Stefano Morozzi11/2024
80082^346786+194725104393Stefano Morozzi11/2024
801224276^19961+19961^24276104392Hans Havermann09/2020
80092^346780+81517104392Stefano Morozzi11/2024
80102^346780+121341104392Stefano Morozzi11/2024
80112^346780+171943104392Stefano Morozzi11/2024
80132^346777+28991104391Stefano Morozzi11/2024
80142^346777+110021104391Stefano Morozzi11/2024
80152^346778+53769104391Stefano Morozzi11/2024
80162^346779+134115104391Stefano Morozzi11/2024
80172^346779+172961104391Stefano Morozzi11/2024
80182^346773+81797104390Stefano Morozzi11/2024
80192^346774+164119104390Stefano Morozzi11/2024
80202^346775+72063104390Stefano Morozzi11/2024
80212^346775+197315104390Stefano Morozzi11/2024
80222^346776+32233104390Stefano Morozzi11/2024
80232^346776+187777104390Stefano Morozzi11/2024
80242^346770+98719104389Stefano Morozzi11/2024
80252^346770+110437104389Stefano Morozzi11/2024
80262^346771+1205104389Stefano Morozzi11/2024
80272^346771+3465104389Stefano Morozzi11/2024
80282^346771+129543104389Stefano Morozzi11/2024
80292^346772+41143104389Stefano Morozzi11/2024
80302^346772+69865104389Stefano Morozzi11/2024
80312^346767+168441104388Stefano Morozzi11/2024
80322^346768+37897104388Stefano Morozzi11/2024
80332^346768+80977104388Stefano Morozzi11/2024
80342^346769+158745104388Stefano Morozzi11/2024
804079^55009+78104387Norbert Schneider02/2015
80352^346763+14723104387Stefano Morozzi11/2024
80362^346763+90743104387Stefano Morozzi11/2024
80372^346764+95503104387Stefano Morozzi11/2024
80382^346766+31645104387Stefano Morozzi11/2024
80392^346766+51115104387Stefano Morozzi11/2024
80412^346760+90225104386Stefano Morozzi11/2024
80422^346762+31825104386Stefano Morozzi11/2024
80432^346762+192817104386Stefano Morozzi11/2024
80442^346757+97691104385Stefano Morozzi11/2024
80452^346758+111415104385Stefano Morozzi11/2024
80462^346759+86331104385Stefano Morozzi11/2024
80472^346755+22085104384Stefano Morozzi11/2024
80482^346750+140967104383Stefano Morozzi11/2024
80492^346751+48515104383Stefano Morozzi11/2024
80502^346751+74481104383Stefano Morozzi11/2024
80512^346752+103497104383Stefano Morozzi11/2024
80522^346747+4589104382Stefano Morozzi11/2024
80532^346747+29969104382Stefano Morozzi11/2024
80542^346747+130973104382Stefano Morozzi11/2024
80552^346748+184387104382Stefano Morozzi11/2024
80562^346743+39545104381Stefano Morozzi11/2024
80572^346743+61335104381Stefano Morozzi11/2024
80582^346746+99025104381Stefano Morozzi11/2024
80592^346737+39431104379Stefano Morozzi11/2024
80602^346733+96437104378Stefano Morozzi11/2024
80612^346736+83025104378Stefano Morozzi11/2024
80622^346736+196405104378Stefano Morozzi11/2024
80632^346732+72685104377Stefano Morozzi11/2024
80642^346727+86903104376Stefano Morozzi11/2024
80652^346727+89829104376Stefano Morozzi11/2024
80662^346729+199319104376Stefano Morozzi11/2024
80672^346723+73521104375Stefano Morozzi11/2024
80682^346724+91177104375Stefano Morozzi11/2024
80692^346726+191527104375Stefano Morozzi11/2024
80702^346720+235104374Stefano Morozzi11/2024
80712^346720+189435104374Stefano Morozzi11/2024
80722^346718+124833104373Stefano Morozzi11/2024
80732^346718+127029104373Stefano Morozzi11/2024
80742^346719+129291104373Stefano Morozzi11/2024
80752^346719+183033104373Stefano Morozzi11/2024
80762^346714+81909104372Stefano Morozzi11/2024
80772^346714+174493104372Stefano Morozzi11/2024
80782^346716+174123104372Stefano Morozzi11/2024
80792^346711+160659104371Stefano Morozzi11/2024
80802^346710+143649104371Stefano Morozzi11/2024
80812^346712+52063104371Stefano Morozzi11/2024
80822^346707+27099104370Stefano Morozzi11/2024
80832^346708+26217104370Stefano Morozzi11/2024
80842^346708+165715104370Stefano Morozzi11/2024
80852^346705+6581104369Stefano Morozzi11/2024
80862^346705+39851104369Stefano Morozzi11/2024
80872^346706+172963104369Stefano Morozzi11/2024
80903^218744+58104368Lelio R Paula11/2016
80882^346700+191515104368Stefano Morozzi11/2024
80892^346701+164841104368Stefano Morozzi11/2024
80912^346694+20437104366Stefano Morozzi11/2024
80922^346694+131557104366Stefano Morozzi11/2024
80932^346695+6795104366Stefano Morozzi11/2024
80942^346691+158613104365Stefano Morozzi11/2024
80952^346692+122623104365Stefano Morozzi11/2024
80962^346687+188033104364Stefano Morozzi11/2024
80972^346688+71005104364Stefano Morozzi11/2024
80982^346688+89811104364Stefano Morozzi11/2024
80992^346688+122115104364Stefano Morozzi11/2024
81002^346689+100829104364Stefano Morozzi11/2024
81012^346689+172847104364Stefano Morozzi11/2024
81022^346685+136145104363Stefano Morozzi11/2024
81059*10^104361+89104362Robert Price11/2019
81032^346681+58601104362Stefano Morozzi11/2024
81042^346681+186111104362Stefano Morozzi11/2024
81062^346676+82285104360Stefano Morozzi11/2024
81072^346670+69985104359Stefano Morozzi11/2024
81082^346672+85371104359Stefano Morozzi11/2024
81092^346673+47231104359Stefano Morozzi11/2024
811525048^14665+14665^25048104358Hans Havermann09/2020
81102^346667+84359104358Stefano Morozzi11/2024
81112^346668+26391104358Stefano Morozzi11/2024
81122^346668+138987104358Stefano Morozzi11/2024
81132^346669+27735104358Stefano Morozzi11/2024
81142^346669+33989104358Stefano Morozzi11/2024
81162^346664+16377104357Stefano Morozzi11/2024
81172^346666+29595104357Stefano Morozzi11/2024
81182^346660+61095104356Stefano Morozzi11/2024
81192^346661+114311104356Stefano Morozzi11/2024
81202^346662+75745104356Stefano Morozzi11/2024
81212^346663+123305104356Stefano Morozzi11/2024
81222^346662+150475104356Stefano Morozzi11/2024
81232^346658+28393104355Stefano Morozzi11/2024
81242^346658+137619104355Stefano Morozzi11/2024
81252^346659+86415104355Stefano Morozzi11/2024
81262^346659+117849104355Stefano Morozzi11/2024
81272^346655+199859104354Stefano Morozzi11/2024
81282^346656+100627104354Stefano Morozzi11/2024
81292^346651+88491104353Stefano Morozzi11/2024
81302^346652+32971104353Stefano Morozzi11/2024
81312^346652+85321104353Stefano Morozzi11/2024
81322^346652+100627104353Stefano Morozzi11/2024
81332^346652+190255104353Stefano Morozzi11/2024
81342^346652+194667104353Stefano Morozzi11/2024
81352^346652+197073104353Stefano Morozzi11/2024
81392^346649+65104352Lelio R Paula09/2011
81362^346647+128475104352Stefano Morozzi11/2024
81372^346647+181169104352Stefano Morozzi11/2024
81382^346648+97381104352Stefano Morozzi11/2024
8140(19*33^68718-600883)/32104350Eric Chen05/2023
81412^346640+73723104350Stefano Morozzi11/2024
81422^346641+169667104350Stefano Morozzi11/2024
81432^346642+100395104350Stefano Morozzi11/2024
81442^346643+61025104350Stefano Morozzi11/2024
81452^346643+160785104350Stefano Morozzi11/2024
81472^346638-17265104349Enzo Doria05/2013
81462^346637+34139104349Stefano Morozzi11/2024
81482^346635+13071104348Stefano Morozzi11/2024
81492^346630+66003104347Stefano Morozzi11/2024
81502^346630+187137104347Stefano Morozzi11/2024
81512^346631+27393104347Stefano Morozzi11/2024
81522^346632+21883104347Stefano Morozzi11/2024
81532^346632+136015104347Stefano Morozzi11/2024
81542^346628+87907104346Stefano Morozzi11/2024
81552^346624+174075104345Stefano Morozzi11/2024
81562^346620+87451104344Stefano Morozzi11/2024
81572^346622+12247104344Stefano Morozzi11/2024
81582^346623+69161104344Stefano Morozzi11/2024
81592^346614+85737104342Stefano Morozzi11/2024
81602^346611+183923104341Stefano Morozzi11/2024
81612^346607+36209104340Stefano Morozzi11/2024
81622^346607+65291104340Stefano Morozzi11/2024
81632^346609+47471104340Stefano Morozzi11/2024
8168(2^346606+2082)/2104339Stefano Morozzi09/2020
8169(2^346607+2070)/2104339Stefano Morozzi09/2020
81642^346605+1041104339Stefano Morozzi11/2024
81652^346605+181167104339Stefano Morozzi11/2024
81662^346606+1035104339Stefano Morozzi11/2024
81672^346606+103863104339Stefano Morozzi11/2024
81702^346601+26529104338Stefano Morozzi11/2024
81712^346603+133431104338Stefano Morozzi11/2024
81722^346597+97661104337Stefano Morozzi11/2024
81732^346597+186809104337Stefano Morozzi11/2024
81742^346598+31719104337Stefano Morozzi11/2024
81752^346598+162513104337Stefano Morozzi11/2024
81762^346599+45731104337Stefano Morozzi11/2024
81772^346599+187061104337Stefano Morozzi11/2024
81782^346600+175993104337Stefano Morozzi11/2024
81792^346595+89753104336Stefano Morozzi11/2024
81802^346595+114491104336Stefano Morozzi11/2024
81812^346596+120183104336Stefano Morozzi11/2024
81822^346591+183651104335Stefano Morozzi11/2024
81832^346591+192149104335Stefano Morozzi11/2024
81842^346592+77347104335Stefano Morozzi11/2024
81852^346592+178161104335Stefano Morozzi11/2024
81862^346592+195985104335Stefano Morozzi11/2024
81872^346589+40607104334Stefano Morozzi11/2024
81882^346590+151533104334Stefano Morozzi11/2024
81892^346584+105103104333Stefano Morozzi11/2024
81902^346585+56861104333Stefano Morozzi11/2024
8196(2^346582+3202)/2104332Stefano Morozzi09/2020
81912^346581+1601104332Stefano Morozzi11/2024
81922^346581+82115104332Stefano Morozzi11/2024
81932^346581+193979104332Stefano Morozzi11/2024
81942^346582+197767104332Stefano Morozzi11/2024
81952^346583+116579104332Stefano Morozzi11/2024
819726092^9967+9967^26092104331Hans Havermann09/2020
81982^346577+47501104331Stefano Morozzi11/2024
81992^346578+163287104331Stefano Morozzi11/2024
82002^346579+37019104331Stefano Morozzi11/2024
82012^346579+119645104331Stefano Morozzi11/2024
82022^346579+157611104331Stefano Morozzi11/2024
82032^346576+100803104330Stefano Morozzi11/2024
82042^346576+144495104330Stefano Morozzi11/2024
82052^346573+13859104329Stefano Morozzi11/2024
82062^346568+110181104328Stefano Morozzi11/2024
82085*10^104326+77104327Robert Price12/2018
82072^346564+151101104327Stefano Morozzi11/2024
8214(2^346564+2026)/2104326Stefano Morozzi09/2020
82092^346561+53385104326Stefano Morozzi11/2024
82102^346561+139791104326Stefano Morozzi11/2024
82112^346562+110383104326Stefano Morozzi11/2024
82122^346563+1013104326Stefano Morozzi11/2024
82132^346563+9305104326Stefano Morozzi11/2024
82152^346558+97033104325Stefano Morozzi11/2024
82162^346556+101283104324Stefano Morozzi11/2024
82172^346551+55043104323Stefano Morozzi11/2024
82182^346547+71855104322Stefano Morozzi11/2024
82192^346548+119695104322Stefano Morozzi11/2024
82202^346550+55249104322Stefano Morozzi11/2024
82212^346550+158655104322Stefano Morozzi11/2024
82222^346545+87885104321Stefano Morozzi11/2024
82232^346545+95105104321Stefano Morozzi11/2024
82242^346546+126763104321Stefano Morozzi11/2024
82252^346546+149397104321Stefano Morozzi11/2024
8226(8925^26569-1)/(8925^163-1)104320Ryan Propper11/2023
82272^346542+128005104320Stefano Morozzi11/2024
82282^346538+123507104319Stefano Morozzi11/2024
82292^346540+118251104319Stefano Morozzi11/2024
82302^346540+128965104319Stefano Morozzi11/2024
82312^346535+138485104318Stefano Morozzi11/2024
82322^346536+149013104318Stefano Morozzi11/2024
82332^346531+98801104317Stefano Morozzi11/2024
82342^346533+12035104317Stefano Morozzi11/2024
82382^346527-111817104316Enzo Doria05/2014
82376^134055+101104316Lelio R Paula11/2016
8235fibonacci(499147)-4104316Jon Grantham08/2023
82362^346529+101351104316Stefano Morozzi11/2024
82392^346524+81585104315Stefano Morozzi11/2024
82402^346524+184821104315Stefano Morozzi11/2024
82412^346525+41051104315Stefano Morozzi11/2024
82422^346525+61845104315Stefano Morozzi11/2024
82432^346521+47439104314Stefano Morozzi11/2024
82442^346522+34689104314Stefano Morozzi11/2024
82452^346519+24543104313Stefano Morozzi11/2024
82462^346519+75119104313Stefano Morozzi11/2024
825092105!4+8104312Robert Price09/2019
82472^346514+11023104312Stefano Morozzi11/2024
82482^346514+22009104312Stefano Morozzi11/2024
82492^346516+107031104312Stefano Morozzi11/2024


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: July, 13 2025 09:00 (Time in France)

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