PRP Records

Probable Primes Top 10000

(291910 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) !!!


Submit your PRPs


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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 ?
625125080^11711+11711^25080102041Hans Havermann02/2019
62522^338968+53461102040Stefano Morozzi01/2022
62532^338969+160175102040Stefano Morozzi03/2022
62542^338967+13409102040Stefano Morozzi04/2022
62552^338969+67635102040Stefano Morozzi09/2022
62562^338969-15913102040Stefano Morozzi01/2023
62572^338963-127455102039Stefano Morozzi12/2021
62582^338963+132195102039Stefano Morozzi02/2022
62592^338966+137919102039Stefano Morozzi04/2022
62602^338963-87529102039Stefano Morozzi12/2022
6267(2^338982-7)/1754517102038Lelio R Paula12/2013
62612^338960+53935102038Stefano Morozzi01/2022
62622^338962+83157102038Stefano Morozzi02/2022
62632^338961+12341102038Stefano Morozzi04/2022
62642^338960+63933102038Stefano Morozzi05/2022
62652^338960+170791102038Stefano Morozzi11/2022
62662^338962+21679102038Stefano Morozzi11/2022
62682^338959-30919102037Stefano Morozzi02/2022
62692^338959+164769102037Stefano Morozzi05/2022
62702^338954-177003102036Stefano Morozzi12/2021
62712^338954+154207102036Stefano Morozzi01/2022
62722^338956+182493102036Stefano Morozzi02/2022
62732^338954+162715102036Stefano Morozzi04/2022
62742^338955-158241102036Stefano Morozzi04/2022
62752^338956-33395102036Stefano Morozzi04/2022
62762^338954+190915102036Stefano Morozzi06/2022
62772^338955+41643102036Stefano Morozzi09/2022
62782^338954+194427102036Stefano Morozzi09/2022
62792^338956+117967102036Stefano Morozzi09/2022
62802^338956+195495102036Stefano Morozzi11/2022
62812^338954-186371102036Stefano Morozzi12/2022
62822^338950+175077102035Stefano Morozzi12/2021
62832^338951-51687102035Stefano Morozzi12/2021
62842^338951+66123102035Stefano Morozzi06/2022
62852^338950+19317102035Stefano Morozzi09/2022
62862^338951-161479102035Stefano Morozzi12/2022
62872^338950-66335102035Stefano Morozzi01/2023
62882^338949+85449102034Stefano Morozzi03/2022
62892^338949-184585102034Stefano Morozzi04/2022
62902^338949-88555102034Stefano Morozzi12/2022
62912^338943+127103102033Stefano Morozzi12/2021
62922^338944-84003102033Stefano Morozzi04/2022
62932^338945+138605102033Stefano Morozzi05/2022
62942^338943+95133102033Stefano Morozzi11/2022
62952^338943+147435102033Stefano Morozzi11/2022
62962^338943-116067102033Stefano Morozzi01/2023
62972^338940+78607102032Stefano Morozzi01/2022
62982^338942-86687102032Stefano Morozzi12/2022
62992^338939+151569102031Stefano Morozzi12/2021
63002^338938+183975102031Stefano Morozzi03/2022
63012^338937-33429102031Stefano Morozzi04/2022
63022^338939-183259102031Stefano Morozzi04/2022
63032^338937-139951102031Stefano Morozzi01/2023
63042^338938-40151102031Stefano Morozzi01/2023
63052^338935+179999102030Stefano Morozzi01/2022
63062^338936+84147102030Stefano Morozzi03/2022
63072^338935+171261102030Stefano Morozzi11/2022
63082^338936-41355102030Stefano Morozzi01/2023
63092^338931+2349102029Stefano Morozzi12/2021
63102^338933+79935102029Stefano Morozzi01/2022
63112^338930+33819102029Stefano Morozzi03/2022
63122^338931-31555102029Stefano Morozzi03/2022
63132^338933+64169102029Stefano Morozzi05/2022
63142^338932-184965102029Stefano Morozzi06/2022
63152^338932+66943102029Stefano Morozzi09/2022
63162^338932+92995102029Stefano Morozzi09/2022
63172^338931+97001102029Stefano Morozzi11/2022
63182^338932-165453102029Stefano Morozzi01/2023
63192^338933-40899102029Stefano Morozzi01/2023
63202^338928+2367102028Stefano Morozzi12/2021
63212^338927+52779102028Stefano Morozzi01/2022
63222^338927-79539102028Stefano Morozzi02/2022
63232^338929+60819102028Stefano Morozzi03/2022
63242^338928-156959102028Stefano Morozzi03/2022
63252^338927-63919102028Stefano Morozzi12/2022
63262^338925+106631102027Stefano Morozzi01/2022
63272^338926+80235102027Stefano Morozzi01/2022
63282^338926+41607102027Stefano Morozzi09/2022
63292^338925+195435102027Stefano Morozzi11/2022
63302^338922-27291102026Stefano Morozzi12/2021
63312^338919-103849102025Stefano Morozzi01/2022
63322^338919+130221102025Stefano Morozzi01/2022
63332^338914-79121102024Stefano Morozzi02/2022
63342^338916+134047102024Stefano Morozzi03/2022
63352^338914-11315102024Stefano Morozzi12/2022
63362^338910+81027102023Stefano Morozzi01/2022
63372^338912+179821102023Stefano Morozzi01/2022
63382^338909+100769102022Stefano Morozzi11/2021
63392^338908-100839102022Stefano Morozzi12/2021
63402^338909-25951102022Stefano Morozzi12/2021
63412^338909+66845102022Stefano Morozzi09/2022
63422^338907+73509102022Stefano Morozzi11/2022
63432^338906-25823102021Stefano Morozzi12/2021
63442^338904+75951102021Stefano Morozzi12/2021
63452^338906+6685102021Stefano Morozzi01/2022
63462^338905+160365102021Stefano Morozzi03/2022
63472^338906+92617102021Stefano Morozzi09/2022
63482^338904+47065102021Stefano Morozzi11/2022
63492^338905+70427102021Stefano Morozzi11/2022
63502^338905-163975102021Stefano Morozzi12/2022
63512^338903+4155102020Stefano Morozzi01/2022
63522^338901+55571102020Stefano Morozzi01/2022
63532^338901-55479102020Stefano Morozzi02/2022
63542^338903+33555102020Stefano Morozzi03/2022
63552^338901+39777102020Stefano Morozzi05/2022
63562^338903+165981102020Stefano Morozzi06/2022
63572^338901-34863102020Stefano Morozzi06/2022
63582^338899-150051102019Stefano Morozzi12/2021
63592^338899+125951102019Stefano Morozzi12/2021
63602^338898+179623102019Stefano Morozzi01/2022
63612^338899-154467102019Stefano Morozzi02/2022
63622^338898-60753102019Stefano Morozzi06/2022
63632^338898+68635102019Stefano Morozzi09/2022
63642^338897-85963102019Stefano Morozzi12/2022
63652^338894-133295102018Stefano Morozzi04/2022
63662^338894+165573102018Stefano Morozzi06/2022
63672^338894-60957102018Stefano Morozzi06/2022
63682^338894-89463102018Stefano Morozzi01/2023
63782^338891-18885102017Enzo Doria05/2013
63692^338891+26499102017Stefano Morozzi12/2021
63702^338891-2625102017Stefano Morozzi12/2021
63712^338893+128727102017Stefano Morozzi01/2022
63722^338890-52965102017Stefano Morozzi01/2022
63732^338892-55467102017Stefano Morozzi02/2022
63742^338892-83393102017Stefano Morozzi04/2022
63752^338893+13649102017Stefano Morozzi05/2022
63762^338892+117957102017Stefano Morozzi09/2022
63772^338892-14643102017Stefano Morozzi01/2023
63792^338887+154029102016Stefano Morozzi01/2022
63802^338889-104293102016Stefano Morozzi02/2022
63812^338887+147741102016Stefano Morozzi11/2022
63822^338889+195975102016Stefano Morozzi11/2022
63832^338886+177159102015Stefano Morozzi12/2021
63842^338885+40425102015Stefano Morozzi06/2022
63852^338884-13053102015Stefano Morozzi12/2022
63862^338885-112569102015Stefano Morozzi12/2022
63872^338880+11341102014Stefano Morozzi03/2022
63882^338880-160383102014Stefano Morozzi06/2022
63892^338880-161627102014Stefano Morozzi12/2022
63902^338879-1059102013Stefano Morozzi12/2021
63912^338879-54525102013Stefano Morozzi02/2022
63922^338877-82813102013Stefano Morozzi03/2022
63932^338878-185883102013Stefano Morozzi06/2022
63942^338879-60355102013Stefano Morozzi06/2022
63952^338878+43719102013Stefano Morozzi09/2022
63962^338879+122049102013Stefano Morozzi11/2022
63972^338874-15063102012Stefano Morozzi01/2023
63982^338871+7679102011Stefano Morozzi02/2022
63992^338872+61141102011Stefano Morozzi03/2022
64002^338872-183923102011Stefano Morozzi04/2022
64012^338873+19527102011Stefano Morozzi09/2022
64022^338870+70719102011Stefano Morozzi11/2022
6403(19*10^102011+287)/9/3102011Alfred Reich11/2022
64042^338870-37571102011Stefano Morozzi12/2022
64052^338872-138573102011Stefano Morozzi12/2022
64062^338873-63843102011Stefano Morozzi12/2022
64072^338868-5985102010Stefano Morozzi02/2022
64082^338867+38079102010Stefano Morozzi05/2022
64092^338868+140437102010Stefano Morozzi06/2022
64102^338868-110175102010Stefano Morozzi06/2022
64112^338868+123337102010Stefano Morozzi11/2022
64122^338867-13327102010Stefano Morozzi12/2022
64132^338868-11279102010Stefano Morozzi12/2022
64142^338868-115685102010Stefano Morozzi01/2023
64152^338864+158191102009Stefano Morozzi02/2022
64162^338865-39699102009Stefano Morozzi01/2023
64172^338865-40789102009Stefano Morozzi01/2023
64182^338862+60433102008Stefano Morozzi03/2022
64192^338861-9453102008Stefano Morozzi04/2022
64202^338861+98067102008Stefano Morozzi11/2022
64212^338862+146545102008Stefano Morozzi11/2022
64222^338863-186207102008Stefano Morozzi12/2022
64232^338860-41429102008Stefano Morozzi01/2023
64242^338862-115833102008Stefano Morozzi01/2023
64252^338858-190185102007Stefano Morozzi01/2023
64262^338855+102141102006Stefano Morozzi12/2021
64272^338856-27173102006Stefano Morozzi12/2021
64282^338856-102839102006Stefano Morozzi01/2022
64292^338855+79629102006Stefano Morozzi01/2022
64302^338856+47755102006Stefano Morozzi11/2022
64312^338850+27987102005Stefano Morozzi01/2022
64322^338853+111791102005Stefano Morozzi04/2022
64332^338852+145797102005Stefano Morozzi11/2022
64342^338852-88497102005Stefano Morozzi12/2022
64352^338847+176013102004Stefano Morozzi12/2021
64362^338847-2365102004Stefano Morozzi12/2021
64372^338848+158941102004Stefano Morozzi03/2022
64382^338848+16671102004Stefano Morozzi06/2022
64392^338847-35061102004Stefano Morozzi06/2022
64402^338848+145063102004Stefano Morozzi11/2022
64412^338847-61885102004Stefano Morozzi12/2022
64422^338845+135831102003Stefano Morozzi03/2022
64432^338846+85695102003Stefano Morozzi03/2022
64442^338845+186525102003Stefano Morozzi04/2022
64452^338846-163473102003Stefano Morozzi12/2022
64462^338844-16077102003Stefano Morozzi01/2023
64472^338844-165143102003Stefano Morozzi01/2023
64482^338843-127261102002Stefano Morozzi12/2021
64492^338843+107205102002Stefano Morozzi02/2022
64502^338842-33185102002Stefano Morozzi04/2022
64512^338842+14227102002Stefano Morozzi05/2022
64522^338842+147973102002Stefano Morozzi11/2022
64608*10^102000+51102001Robert Price08/2019
64532^338838+150837102001Stefano Morozzi11/2021
64542^338838+141397102001Stefano Morozzi06/2022
64552^338839+194363102001Stefano Morozzi09/2022
64562^338838+95637102001Stefano Morozzi11/2022
64572^338839+171545102001Stefano Morozzi11/2022
64582^338837-40071102001Stefano Morozzi01/2023
64592^338838-90251102001Stefano Morozzi01/2023
64612^338835-150625102000Stefano Morozzi12/2021
64622^338834-32877102000Stefano Morozzi04/2022
6466(2^338832+642)/2101999Stefano Morozzi09/2020
64632^338833-100905101999Stefano Morozzi12/2021
64642^338831+54419101999Stefano Morozzi01/2022
64652^338831-63687101999Stefano Morozzi12/2022
64732^338829-113239101998Enzo Doria07/2014
64742^338828-113297101998Enzo Doria07/2014
64672^338830+25017101998Stefano Morozzi11/2021
64682^338831+321101998Stefano Morozzi11/2021
64692^338827-26197101998Stefano Morozzi12/2021
64702^338829+52727101998Stefano Morozzi01/2022
64712^338827-55461101998Stefano Morozzi02/2022
64722^338828-65859101998Stefano Morozzi01/2023
64752^338825-27453101997Stefano Morozzi12/2021
64762^338824+89355101997Stefano Morozzi05/2022
64772^338825-10995101997Stefano Morozzi06/2022
64782^338822+111175101996Stefano Morozzi03/2022
64792^338822+187819101996Stefano Morozzi04/2022
64802^338823+139545101996Stefano Morozzi05/2022
64812^338823-184905101996Stefano Morozzi06/2022
64822^338821-38919101996Stefano Morozzi12/2022
64832^338820+41317101995Stefano Morozzi06/2022
64842^338817+46019101995Stefano Morozzi11/2022
64852^338820+148083101995Stefano Morozzi11/2022
64862^338817-163251101995Stefano Morozzi12/2022
64872^338819-63705101995Stefano Morozzi12/2022
64882^338815+151175101994Stefano Morozzi12/2021
64892^338814-30011101994Stefano Morozzi02/2022
64902^338814+12309101994Stefano Morozzi04/2022
64912^338816-60647101994Stefano Morozzi06/2022
64922^338816+171043101994Stefano Morozzi11/2022
64932^338814-11513101994Stefano Morozzi12/2022
64942^338811-126999101993Stefano Morozzi12/2021
64952^338811+131621101993Stefano Morozzi02/2022
64962^338812-107637101993Stefano Morozzi03/2022
64972^338813+192725101993Stefano Morozzi09/2022
64982^338812+94731101993Stefano Morozzi11/2022
64992^338809-152755101992Stefano Morozzi01/2022
65002^338808+156531101992Stefano Morozzi01/2022


Find by discoverer :


Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: February, 02 2023 13:22 (Time in France)

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