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) !!!


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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 ?
67512^338630+12867101938Stefano Morozzi04/2022
67522^338629+42147101938Stefano Morozzi09/2022
67532^338628+121083101938Stefano Morozzi11/2022
67542^338630+147235101938Stefano Morozzi11/2022
67552^338628-37679101938Stefano Morozzi12/2022
67562^338629-41383101938Stefano Morozzi01/2023
67572^338626-105875101937Stefano Morozzi02/2022
67582^338625-111729101937Stefano Morozzi12/2022
67592^338621+33069101936Stefano Morozzi02/2022
67602^338623-106405101936Stefano Morozzi03/2022
67612^338621+61751101936Stefano Morozzi04/2022
67622^338623-86577101936Stefano Morozzi12/2022
67632^338620-150735101935Stefano Morozzi12/2021
67642^338619-27765101935Stefano Morozzi01/2022
67652^338619-77959101935Stefano Morozzi01/2022
67662^338619-186367101935Stefano Morozzi12/2022
67672^338618-64905101935Stefano Morozzi01/2023
67682^338615+151655101934Stefano Morozzi12/2021
67692^338616+5047101934Stefano Morozzi01/2022
67702^338616+39705101934Stefano Morozzi05/2022
67712^338611+76659101933Stefano Morozzi12/2021
67722^338613-109791101933Stefano Morozzi04/2022
67732^338612+119583101933Stefano Morozzi09/2022
67742^338611-140397101933Stefano Morozzi01/2023
67752^338614-39653101933Stefano Morozzi01/2023
67762^338609+130139101932Stefano Morozzi01/2022
67772^338609+131327101932Stefano Morozzi01/2022
67782^338608-155453101932Stefano Morozzi02/2022
67792^338609+161721101932Stefano Morozzi04/2022
67802^338609-10405101932Stefano Morozzi06/2022
67812^338608+94017101932Stefano Morozzi09/2022
67822^338610+170515101932Stefano Morozzi11/2022
67832^338607+30611101931Stefano Morozzi01/2022
67842^338607+106695101931Stefano Morozzi02/2022
67852^338606-32291101931Stefano Morozzi03/2022
67862^338606+15195101931Stefano Morozzi05/2022
67872^338605+197789101931Stefano Morozzi11/2022
67882^338607-90621101931Stefano Morozzi01/2023
67892^338603-1195101930Stefano Morozzi12/2021
67902^338601+108867101930Stefano Morozzi03/2022
67912^338603+34311101930Stefano Morozzi03/2022
67922^338598+57127101929Stefano Morozzi02/2022
67932^338598+162645101929Stefano Morozzi04/2022
67942^338599+43445101929Stefano Morozzi09/2022
67952^338599+19485101929Stefano Morozzi09/2022
67962^338598+46195101929Stefano Morozzi11/2022
67972^338600-36393101929Stefano Morozzi12/2022
67982^338596-1739101928Stefano Morozzi12/2021
67992^338595-78687101928Stefano Morozzi01/2022
68002^338595+181683101928Stefano Morozzi02/2022
68012^338597-106045101928Stefano Morozzi02/2022
68022^338595+119565101928Stefano Morozzi09/2022
68032^338595+19623101928Stefano Morozzi09/2022
68042^338595+21711101928Stefano Morozzi11/2022
68052^338596-111129101928Stefano Morozzi12/2022
68062^338591+53769101927Stefano Morozzi01/2022
68072^338593+156989101927Stefano Morozzi02/2022
68082^338592+36157101927Stefano Morozzi03/2022
68092^338593+42099101927Stefano Morozzi09/2022
68102^338591+46685101927Stefano Morozzi11/2022
68112^338593+120437101927Stefano Morozzi11/2022
68122^338591-165517101927Stefano Morozzi01/2023
68132^338592-166107101927Stefano Morozzi01/2023
68142^338592-189249101927Stefano Morozzi01/2023
68152^338594-40493101927Stefano Morozzi01/2023
68162^338590+182007101926Stefano Morozzi02/2022
68172^338590+60747101926Stefano Morozzi03/2022
68182^338588+62397101926Stefano Morozzi04/2022
68192^338589-9685101926Stefano Morozzi04/2022
6826(2^338587+2306)/2101925Stefano Morozzi02/2021
68202^338586+1153101925Stefano Morozzi12/2021
68212^338587-51709101925Stefano Morozzi12/2021
68222^338586+105303101925Stefano Morozzi01/2022
68232^338585-131773101925Stefano Morozzi03/2022
68242^338587+168039101925Stefano Morozzi09/2022
68252^338585-140719101925Stefano Morozzi01/2023
68272^338584+100771101924Stefano Morozzi11/2021
68282^338581-150415101924Stefano Morozzi12/2021
68292^338581-2349101924Stefano Morozzi12/2021
68302^338582+42933101924Stefano Morozzi09/2022
68312^338584+93267101924Stefano Morozzi09/2022
68322^338582-86697101924Stefano Morozzi12/2022
68332^338582-138035101924Stefano Morozzi12/2022
68342^338584-115569101924Stefano Morozzi01/2023
68352^338578+67593101923Stefano Morozzi09/2022
68362^338580+142201101923Stefano Morozzi09/2022
68372^338579-14635101923Stefano Morozzi01/2023
68382^338579-164985101923Stefano Morozzi01/2023
68392^338575-28815101922Stefano Morozzi01/2022
68402^338575-33645101922Stefano Morozzi04/2022
68412^338573-156693101921Stefano Morozzi03/2022
68422^338572+193305101921Stefano Morozzi09/2022
68472^338568+37101920Lelio R Paula07/2011
68432^338570-53933101920Stefano Morozzi02/2022
68442^338569+87201101920Stefano Morozzi04/2022
68452^338570-36897101920Stefano Morozzi12/2022
68462^338570-61157101920Stefano Morozzi12/2022
68482^338567-9619101919Stefano Morozzi04/2022
68492^338565-141589101919Stefano Morozzi01/2023
68502^338564-56763101918Stefano Morozzi03/2022
68512^338561+112007101918Stefano Morozzi04/2022
68522^338561-9315101918Stefano Morozzi04/2022
68532^338564+41965101918Stefano Morozzi09/2022
68542^338561+121139101918Stefano Morozzi11/2022
68552^338562+21799101918Stefano Morozzi11/2022
68632^338559-1858777101917Enzo Doria04/2016
68562^338558+4825101917Stefano Morozzi01/2022
68572^338559-127935101917Stefano Morozzi01/2022
68582^338560+154891101917Stefano Morozzi01/2022
68592^338559+131885101917Stefano Morozzi02/2022
68602^338558+93735101917Stefano Morozzi09/2022
68612^338559-90957101917Stefano Morozzi01/2023
68622^338559-190761101917Stefano Morozzi01/2023
68642^338555+189981101916Stefano Morozzi05/2022
68652^338553-125383101915Stefano Morozzi12/2021
68662^338554-82821101915Stefano Morozzi03/2022
68672^338548+76923101914Stefano Morozzi12/2021
68682^338549+158517101914Stefano Morozzi03/2022
68692^338549+85397101914Stefano Morozzi03/2022
68702^338548+138121101914Stefano Morozzi05/2022
68712^338550-110301101914Stefano Morozzi06/2022
68722^338547+129321101913Stefano Morozzi01/2022
68732^338547-153481101913Stefano Morozzi01/2022
68742^338545-11059101913Stefano Morozzi12/2022
68752^338544+107853101912Stefano Morozzi02/2022
68762^338542+172813101912Stefano Morozzi11/2022
68772^338544-12687101912Stefano Morozzi12/2022
68782^338543-140677101912Stefano Morozzi01/2023
68792^338541+152721101911Stefano Morozzi01/2022
68802^338539+60825101911Stefano Morozzi03/2022
68812^338539+160881101911Stefano Morozzi03/2022
68822^338541-182523101911Stefano Morozzi03/2022
68832^338540+87645101911Stefano Morozzi04/2022
68842^338541+148305101911Stefano Morozzi11/2022
68852^338541-163075101911Stefano Morozzi12/2022
68862^338536-100785101910Stefano Morozzi12/2021
68872^338535-51837101910Stefano Morozzi12/2021
68882^338535-158745101910Stefano Morozzi04/2022
68892^338536-189977101910Stefano Morozzi01/2023
68902^338537-65623101910Stefano Morozzi01/2023
68912^338532+39445101909Stefano Morozzi05/2022
68922^338532+141415101909Stefano Morozzi06/2022
68932^338532-136037101909Stefano Morozzi06/2022
68942^338531+81081101908Stefano Morozzi01/2022
68952^338530+59835101908Stefano Morozzi03/2022
68962^338529+186551101908Stefano Morozzi04/2022
68972^338531+61313101908Stefano Morozzi04/2022
68982^338531-9277101908Stefano Morozzi04/2022
68992^338527+191205101907Stefano Morozzi06/2022
69002^338524+54421101906Stefano Morozzi01/2022
69012^338522-155811101906Stefano Morozzi02/2022
69022^338523-16291101906Stefano Morozzi01/2023
69032^338521+183131101905Stefano Morozzi02/2022
69042^338520+34945101905Stefano Morozzi03/2022
69052^338518-182885101905Stefano Morozzi04/2022
69062^338518+114633101905Stefano Morozzi05/2022
69072^338518-12621101905Stefano Morozzi12/2022
69082^338518-187325101905Stefano Morozzi12/2022
6915(9*2^338520+1)/365101904Lelio R Paula12/2013
69092^338517-125955101904Stefano Morozzi12/2021
69102^338517+126437101904Stefano Morozzi12/2021
69112^338517-53499101904Stefano Morozzi01/2022
69122^338515+30369101904Stefano Morozzi01/2022
69132^338517-184623101904Stefano Morozzi04/2022
69142^338515+89333101904Stefano Morozzi05/2022
691824502^14419+14419^24502101903Hans Havermann01/2019
69162^338512-827101903Stefano Morozzi12/2021
69172^338514-6611101903Stefano Morozzi03/2022
69192^338509+5139101902Stefano Morozzi01/2022
69202^338509+40205101902Stefano Morozzi06/2022
69212^338511+19959101902Stefano Morozzi09/2022
69222^338510-37877101902Stefano Morozzi12/2022
69232^338507-188655101901Stefano Morozzi12/2022
69242^338507-114457101901Stefano Morozzi01/2023
69252^338504-152615101900Stefano Morozzi01/2022
69262^338502-4587101900Stefano Morozzi02/2022
69272^338502-166275101900Stefano Morozzi01/2023
69282^338500-26865101899Stefano Morozzi12/2021
69292^338501-177471101899Stefano Morozzi12/2021
69302^338499-3915101899Stefano Morozzi01/2022
69312^338501+32051101899Stefano Morozzi02/2022
69322^338499+183533101899Stefano Morozzi03/2022
69332^338500+35625101899Stefano Morozzi03/2022
69342^338499+87579101899Stefano Morozzi04/2022
69372^338497-17041101898Enzo Doria05/2013
69352^338497+150405101898Stefano Morozzi11/2021
69362^338495+100533101898Stefano Morozzi12/2021
69382^338494+36057101897Stefano Morozzi03/2022
69392^338492+39015101897Stefano Morozzi05/2022
69402^338494+168007101897Stefano Morozzi09/2022
69412^338490+61149101896Stefano Morozzi03/2022
69422^338489+161369101896Stefano Morozzi04/2022
69432^338491+22961101896Stefano Morozzi11/2022
69442^338487-3555101895Stefano Morozzi01/2022
69452^338487-183129101895Stefano Morozzi04/2022
69462^338484+128767101894Stefano Morozzi01/2022
69472^338484-31895101894Stefano Morozzi03/2022
69482^338478+10893101893Stefano Morozzi03/2022
69492^338479+87243101893Stefano Morozzi04/2022
69502^338479+167619101893Stefano Morozzi09/2022
69512^338480+197503101893Stefano Morozzi11/2022
69522^338481-11421101893Stefano Morozzi12/2022
69532^338479-89649101893Stefano Morozzi01/2023
69562^338475+54615101892Lelio R Paula10/2016
69542^338475-59775101892Stefano Morozzi04/2022
69552^338476-134237101892Stefano Morozzi04/2022
69572^338474+100767101891Stefano Morozzi11/2021
69582^338474+81165101891Stefano Morozzi01/2022
69592^338474+41137101891Stefano Morozzi06/2022
69602^338472-110445101891Stefano Morozzi06/2022
69612^338473-89535101891Stefano Morozzi01/2023
69622^338470+27777101890Stefano Morozzi01/2022
69632^338468+31351101890Stefano Morozzi01/2022
69642^338469-106339101890Stefano Morozzi03/2022
69652^338471+187469101890Stefano Morozzi04/2022
69662^338468+96613101890Stefano Morozzi11/2022
69672^338469+46167101890Stefano Morozzi11/2022
69682^338470+71527101890Stefano Morozzi11/2022
69692^338469-112783101890Stefano Morozzi12/2022
69702^338470-115665101890Stefano Morozzi01/2023
69712^338467-25665101889Stefano Morozzi12/2021
69722^338465+152139101889Stefano Morozzi12/2021
69732^338466-28643101889Stefano Morozzi01/2022
69742^338465+181517101889Stefano Morozzi01/2022
69752^338466+115917101889Stefano Morozzi06/2022
69762^338465-88291101889Stefano Morozzi12/2022
69772^338464-104009101888Stefano Morozzi02/2022
69782^338463+185169101888Stefano Morozzi03/2022
69792^338464+60595101888Stefano Morozzi03/2022
69802^338464-66377101888Stefano Morozzi01/2023
69812^338458+60273101887Stefano Morozzi03/2022
69822^338461+135867101887Stefano Morozzi03/2022
69832^338455-4621101886Stefano Morozzi02/2022
69842^338457+187827101886Stefano Morozzi04/2022
69852^338455+173349101886Stefano Morozzi11/2022
69862^338454+133737101885Stefano Morozzi03/2022
69872^338454-158501101885Stefano Morozzi04/2022
69882^338454-184217101885Stefano Morozzi04/2022
69892^338453+164451101885Stefano Morozzi05/2022
69902^338452-136137101885Stefano Morozzi12/2022
69912^338450+106275101884Stefano Morozzi01/2022
69922^338450+168439101884Stefano Morozzi09/2022
6993(133*10^101881+17)/3101883Robert Price11/2021
69942^338445-80461101883Stefano Morozzi02/2022
69952^338446-131211101883Stefano Morozzi02/2022
69962^338448+187167101883Stefano Morozzi04/2022
69972^338446-160115101883Stefano Morozzi06/2022
69982^338447-164157101883Stefano Morozzi01/2023
69992^338447-191001101883Stefano Morozzi01/2023
70002^338444+127623101882Stefano Morozzi12/2021


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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