PRP Records

Probable Primes Top 10000

(294627 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 ?
77512^338596-111129101928Stefano Morozzi12/2022
77522^338591+53769101927Stefano Morozzi01/2022
77532^338593+156989101927Stefano Morozzi02/2022
77542^338592+36157101927Stefano Morozzi03/2022
77552^338593+42099101927Stefano Morozzi09/2022
77562^338591+46685101927Stefano Morozzi11/2022
77572^338593+120437101927Stefano Morozzi11/2022
77582^338591-165517101927Stefano Morozzi01/2023
77592^338592-166107101927Stefano Morozzi01/2023
77602^338592-189249101927Stefano Morozzi01/2023
77612^338594-40493101927Stefano Morozzi01/2023
77622^338590+182007101926Stefano Morozzi02/2022
77632^338590+60747101926Stefano Morozzi03/2022
77642^338588+62397101926Stefano Morozzi04/2022
77652^338589-9685101926Stefano Morozzi04/2022
77662^338588+73765101926Stefano Morozzi02/2023
77672^338589-16915101926Stefano Morozzi02/2023
7774(2^338587+2306)/2101925Stefano Morozzi02/2021
77682^338586+1153101925Stefano Morozzi12/2021
77692^338587-51709101925Stefano Morozzi12/2021
77702^338586+105303101925Stefano Morozzi01/2022
77712^338585-131773101925Stefano Morozzi03/2022
77722^338587+168039101925Stefano Morozzi09/2022
77732^338585-140719101925Stefano Morozzi01/2023
77752^338584+100771101924Stefano Morozzi11/2021
77762^338581-150415101924Stefano Morozzi12/2021
77772^338581-2349101924Stefano Morozzi12/2021
77782^338582+42933101924Stefano Morozzi09/2022
77792^338584+93267101924Stefano Morozzi09/2022
77802^338582-86697101924Stefano Morozzi12/2022
77812^338582-138035101924Stefano Morozzi12/2022
77822^338584-115569101924Stefano Morozzi01/2023
77832^338581-92793101924Stefano Morozzi02/2023
77842^338578+67593101923Stefano Morozzi09/2022
77852^338580+142201101923Stefano Morozzi09/2022
77862^338579-14635101923Stefano Morozzi01/2023
77872^338579-164985101923Stefano Morozzi01/2023
77882^338575-28815101922Stefano Morozzi01/2022
77892^338575-33645101922Stefano Morozzi04/2022
77902^338577-92239101922Stefano Morozzi02/2023
77912^338573-156693101921Stefano Morozzi03/2022
77922^338572+193305101921Stefano Morozzi09/2022
77932^338573+173751101921Stefano Morozzi02/2023
77942^338574+73707101921Stefano Morozzi02/2023
77992^338568+37101920Lelio R Paula07/2011
77952^338570-53933101920Stefano Morozzi02/2022
77962^338569+87201101920Stefano Morozzi04/2022
77972^338570-36897101920Stefano Morozzi12/2022
77982^338570-61157101920Stefano Morozzi12/2022
78002^338567-9619101919Stefano Morozzi04/2022
78012^338565-141589101919Stefano Morozzi01/2023
78022^338565+148821101919Stefano Morozzi02/2023
78032^338564-56763101918Stefano Morozzi03/2022
78042^338561+112007101918Stefano Morozzi04/2022
78052^338561-9315101918Stefano Morozzi04/2022
78062^338564+41965101918Stefano Morozzi09/2022
78072^338561+121139101918Stefano Morozzi11/2022
78082^338562+21799101918Stefano Morozzi11/2022
78162^338559-1858777101917Enzo Doria04/2016
78092^338558+4825101917Stefano Morozzi01/2022
78102^338559-127935101917Stefano Morozzi01/2022
78112^338560+154891101917Stefano Morozzi01/2022
78122^338559+131885101917Stefano Morozzi02/2022
78132^338558+93735101917Stefano Morozzi09/2022
78142^338559-90957101917Stefano Morozzi01/2023
78152^338559-190761101917Stefano Morozzi01/2023
78172^338555+189981101916Stefano Morozzi05/2022
78182^338553-125383101915Stefano Morozzi12/2021
78192^338554-82821101915Stefano Morozzi03/2022
78202^338548+76923101914Stefano Morozzi12/2021
78212^338549+158517101914Stefano Morozzi03/2022
78222^338549+85397101914Stefano Morozzi03/2022
78232^338548+138121101914Stefano Morozzi05/2022
78242^338550-110301101914Stefano Morozzi06/2022
78252^338547+129321101913Stefano Morozzi01/2022
78262^338547-153481101913Stefano Morozzi01/2022
78272^338545-11059101913Stefano Morozzi12/2022
78282^338544+107853101912Stefano Morozzi02/2022
78292^338542+172813101912Stefano Morozzi11/2022
78302^338544-12687101912Stefano Morozzi12/2022
78312^338543-140677101912Stefano Morozzi01/2023
78322^338541+152721101911Stefano Morozzi01/2022
78332^338539+60825101911Stefano Morozzi03/2022
78342^338539+160881101911Stefano Morozzi03/2022
78352^338541-182523101911Stefano Morozzi03/2022
78362^338540+87645101911Stefano Morozzi04/2022
78372^338541+148305101911Stefano Morozzi11/2022
78382^338541-163075101911Stefano Morozzi12/2022
78392^338536-100785101910Stefano Morozzi12/2021
78402^338535-51837101910Stefano Morozzi12/2021
78412^338535-158745101910Stefano Morozzi04/2022
78422^338536-189977101910Stefano Morozzi01/2023
78432^338537-65623101910Stefano Morozzi01/2023
78442^338532+39445101909Stefano Morozzi05/2022
78452^338532+141415101909Stefano Morozzi06/2022
78462^338532-136037101909Stefano Morozzi06/2022
78472^338531+81081101908Stefano Morozzi01/2022
78482^338530+59835101908Stefano Morozzi03/2022
78492^338529+186551101908Stefano Morozzi04/2022
78502^338531+61313101908Stefano Morozzi04/2022
78512^338531-9277101908Stefano Morozzi04/2022
78522^338528-92727101908Stefano Morozzi02/2023
78532^338527+191205101907Stefano Morozzi06/2022
78542^338525+99621101907Stefano Morozzi02/2023
78552^338524+54421101906Stefano Morozzi01/2022
78562^338522-155811101906Stefano Morozzi02/2022
78572^338523-16291101906Stefano Morozzi01/2023
78582^338522-142137101906Stefano Morozzi02/2023
78592^338521+183131101905Stefano Morozzi02/2022
78602^338520+34945101905Stefano Morozzi03/2022
78612^338518-182885101905Stefano Morozzi04/2022
78622^338518+114633101905Stefano Morozzi05/2022
78632^338518-12621101905Stefano Morozzi12/2022
78642^338518-187325101905Stefano Morozzi12/2022
7872(9*2^338520+1)/365101904Lelio R Paula12/2013
78652^338517-125955101904Stefano Morozzi12/2021
78662^338517+126437101904Stefano Morozzi12/2021
78672^338517-53499101904Stefano Morozzi01/2022
78682^338515+30369101904Stefano Morozzi01/2022
78692^338517-184623101904Stefano Morozzi04/2022
78702^338515+89333101904Stefano Morozzi05/2022
78712^338515+198813101904Stefano Morozzi02/2023
787524502^14419+14419^24502101903Hans Havermann01/2019
78732^338512-827101903Stefano Morozzi12/2021
78742^338514-6611101903Stefano Morozzi03/2022
78762^338509+5139101902Stefano Morozzi01/2022
78772^338509+40205101902Stefano Morozzi06/2022
78782^338511+19959101902Stefano Morozzi09/2022
78792^338510-37877101902Stefano Morozzi12/2022
78802^338507-188655101901Stefano Morozzi12/2022
78812^338507-114457101901Stefano Morozzi01/2023
78822^338504-152615101900Stefano Morozzi01/2022
78832^338502-4587101900Stefano Morozzi02/2022
78842^338502-166275101900Stefano Morozzi01/2023
78852^338500-26865101899Stefano Morozzi12/2021
78862^338501-177471101899Stefano Morozzi12/2021
78872^338499-3915101899Stefano Morozzi01/2022
78882^338501+32051101899Stefano Morozzi02/2022
78892^338499+183533101899Stefano Morozzi03/2022
78902^338500+35625101899Stefano Morozzi03/2022
78912^338499+87579101899Stefano Morozzi04/2022
78922^338498-117683101899Stefano Morozzi02/2023
78952^338497-17041101898Enzo Doria05/2013
78932^338497+150405101898Stefano Morozzi11/2021
78942^338495+100533101898Stefano Morozzi12/2021
78962^338494+36057101897Stefano Morozzi03/2022
78972^338492+39015101897Stefano Morozzi05/2022
78982^338494+168007101897Stefano Morozzi09/2022
78992^338490+61149101896Stefano Morozzi03/2022
79002^338489+161369101896Stefano Morozzi04/2022
79012^338491+22961101896Stefano Morozzi11/2022
79022^338487-3555101895Stefano Morozzi01/2022
79032^338487-183129101895Stefano Morozzi04/2022
79042^338484+128767101894Stefano Morozzi01/2022
79052^338484-31895101894Stefano Morozzi03/2022
79062^338483-67899101894Stefano Morozzi02/2023
79072^338483-192129101894Stefano Morozzi02/2023
79082^338478+10893101893Stefano Morozzi03/2022
79092^338479+87243101893Stefano Morozzi04/2022
79102^338479+167619101893Stefano Morozzi09/2022
79112^338480+197503101893Stefano Morozzi11/2022
79122^338481-11421101893Stefano Morozzi12/2022
79132^338479-89649101893Stefano Morozzi01/2023
7914(29*34^66532-12833)/33101893Eric Chen03/2023
79172^338475+54615101892Lelio R Paula10/2016
79152^338475-59775101892Stefano Morozzi04/2022
79162^338476-134237101892Stefano Morozzi04/2022
79182^338474+100767101891Stefano Morozzi11/2021
79192^338474+81165101891Stefano Morozzi01/2022
79202^338474+41137101891Stefano Morozzi06/2022
79212^338472-110445101891Stefano Morozzi06/2022
79222^338473-89535101891Stefano Morozzi01/2023
79232^338470+27777101890Stefano Morozzi01/2022
79242^338468+31351101890Stefano Morozzi01/2022
79252^338469-106339101890Stefano Morozzi03/2022
79262^338471+187469101890Stefano Morozzi04/2022
79272^338468+96613101890Stefano Morozzi11/2022
79282^338469+46167101890Stefano Morozzi11/2022
79292^338470+71527101890Stefano Morozzi11/2022
79302^338469-112783101890Stefano Morozzi12/2022
79312^338470-115665101890Stefano Morozzi01/2023
79322^338467-25665101889Stefano Morozzi12/2021
79332^338465+152139101889Stefano Morozzi12/2021
79342^338466-28643101889Stefano Morozzi01/2022
79352^338465+181517101889Stefano Morozzi01/2022
79362^338466+115917101889Stefano Morozzi06/2022
79372^338465-88291101889Stefano Morozzi12/2022
79382^338464-104009101888Stefano Morozzi02/2022
79392^338463+185169101888Stefano Morozzi03/2022
79402^338464+60595101888Stefano Morozzi03/2022
79412^338464-66377101888Stefano Morozzi01/2023
79422^338458+60273101887Stefano Morozzi03/2022
79432^338461+135867101887Stefano Morozzi03/2022
79442^338455-4621101886Stefano Morozzi02/2022
79452^338457+187827101886Stefano Morozzi04/2022
79462^338455+173349101886Stefano Morozzi11/2022
79472^338454+133737101885Stefano Morozzi03/2022
79482^338454-158501101885Stefano Morozzi04/2022
79492^338454-184217101885Stefano Morozzi04/2022
79502^338453+164451101885Stefano Morozzi05/2022
79512^338452-136137101885Stefano Morozzi12/2022
79522^338450+106275101884Stefano Morozzi01/2022
79532^338450+168439101884Stefano Morozzi09/2022
7954(133*10^101881+17)/3101883Robert Price11/2021
79552^338445-80461101883Stefano Morozzi02/2022
79562^338446-131211101883Stefano Morozzi02/2022
79572^338448+187167101883Stefano Morozzi04/2022
79582^338446-160115101883Stefano Morozzi06/2022
79592^338447-164157101883Stefano Morozzi01/2023
79602^338447-191001101883Stefano Morozzi01/2023
79612^338444+127623101882Stefano Morozzi12/2021
79622^338443-113827101882Stefano Morozzi12/2022
79632^338441-5893101881Stefano Morozzi02/2022
79642^338439-162565101881Stefano Morozzi12/2022
79652^338436+153657101880Stefano Morozzi01/2022
79662^338437-153159101880Stefano Morozzi01/2022
79672^338436-83783101880Stefano Morozzi04/2022
79682^338435+89109101880Stefano Morozzi05/2022
79692^338435+13871101880Stefano Morozzi05/2022
79702^338436+149691101880Stefano Morozzi02/2023
79712^338434+81537101879Stefano Morozzi01/2022
79722^338432+33495101879Stefano Morozzi03/2022
79732^338432-7043101879Stefano Morozzi03/2022
79742^338433-32629101879Stefano Morozzi03/2022
79752^338430-9903101878Stefano Morozzi04/2022
79832^338426-19797101877Enzo Doria06/2013
79762^338427-77797101877Stefano Morozzi01/2022
79772^338427-178687101877Stefano Morozzi01/2022
79782^338428-54873101877Stefano Morozzi02/2022
79792^338425+41357101877Stefano Morozzi06/2022
79802^338428+90855101877Stefano Morozzi06/2022
79812^338428-39807101877Stefano Morozzi01/2023
79822^338425-192381101877Stefano Morozzi02/2023
79842^338422-188787101876Stefano Morozzi12/2022
79852^338423-187755101876Stefano Morozzi12/2022
79862^338422-115865101876Stefano Morozzi01/2023
79872^338420-178829101875Stefano Morozzi01/2022
79882^338421-105423101875Stefano Morozzi02/2022
79892^338419-82761101875Stefano Morozzi03/2022
79902^338420+193143101875Stefano Morozzi09/2022
79912^338419+199641101875Stefano Morozzi02/2023
79922^338420-143103101875Stefano Morozzi02/2023
79932^338418-50903101874Stefano Morozzi12/2021
79942^338418+158355101874Stefano Morozzi02/2022
79952^338418+159339101874Stefano Morozzi03/2022
79962^338416+14953101874Stefano Morozzi05/2022
79972^338416+166051101874Stefano Morozzi06/2022
79982^338418-138765101874Stefano Morozzi12/2022
79992^338417+49737101874Stefano Morozzi02/2023
80002^338413-125919101873Stefano Morozzi12/2021


Find by discoverer :


Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: March, 12 2024 13:37 (Time in France)

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