PRP Records

Probable Primes Top 10000

(291192 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 ?
67512^338350-152933101854Stefano Morozzi01/2022
67522^338350+6337101854Stefano Morozzi01/2022
67532^338350+168759101854Stefano Morozzi09/2022
675627088^5755+5755^27088101853Hans Havermann01/2019
67542^338347+125901101853Stefano Morozzi11/2021
67552^338346-10643101853Stefano Morozzi06/2022
67572^338343+152271101852Stefano Morozzi12/2021
67582^338345+154107101852Stefano Morozzi01/2022
67592^338342+155397101852Stefano Morozzi01/2022
67602^338342-130767101852Stefano Morozzi02/2022
67612^338345-30123101852Stefano Morozzi02/2022
67622^338345+35747101852Stefano Morozzi03/2022
67632^338345-133131101852Stefano Morozzi04/2022
67642^338345-134559101852Stefano Morozzi04/2022
67652^338339+2753101851Stefano Morozzi12/2021
67662^338341+128415101851Stefano Morozzi01/2022
67672^338338+2677101850Stefano Morozzi12/2021
67682^338336+54607101850Stefano Morozzi01/2022
67692^338338+109999101850Stefano Morozzi03/2022
67702^338336+161575101850Stefano Morozzi04/2022
67712^338335+51975101849Stefano Morozzi12/2021
67722^338335-152607101849Stefano Morozzi01/2022
67732^338334+55273101849Stefano Morozzi01/2022
67742^338332+34315101849Stefano Morozzi03/2022
67752^338335+158759101849Stefano Morozzi03/2022
67762^338332+67621101849Stefano Morozzi09/2022
67772^338331+83403101848Stefano Morozzi02/2022
67782^338330-110865101848Stefano Morozzi06/2022
67792^338328-5295101847Stefano Morozzi02/2022
67802^338327+143585101847Stefano Morozzi09/2022
67812^338324-179667101846Stefano Morozzi02/2022
67822^338316-175857101844Stefano Morozzi12/2021
67832^338318+54405101844Stefano Morozzi01/2022
67842^338316+32961101844Stefano Morozzi02/2022
67852^338317+68175101844Stefano Morozzi09/2022
67862^338315-178635101843Stefano Morozzi01/2022
67872^338315+34899101843Stefano Morozzi03/2022
67882^338314-106973101843Stefano Morozzi03/2022
67892^338311-51799101842Stefano Morozzi12/2021
67902^338309+157259101842Stefano Morozzi02/2022
67912^338310+40903101842Stefano Morozzi06/2022
67922^338308-55853101841Stefano Morozzi02/2022
67932^338307+134871101841Stefano Morozzi03/2022
67942^338307+19689101841Stefano Morozzi09/2022
67952^338308+66873101841Stefano Morozzi09/2022
67962^338304+78757101840Stefano Morozzi01/2022
67972^338304-5807101840Stefano Morozzi02/2022
67982^338305+110879101840Stefano Morozzi03/2022
67992^338304+91147101840Stefano Morozzi06/2022
68002^338299+85611101839Stefano Morozzi03/2022
68012^338298-25571101838Stefano Morozzi12/2021
68022^338297+35547101838Stefano Morozzi03/2022
68032^338298+111199101838Stefano Morozzi03/2022
68042^338294-150711101837Stefano Morozzi12/2021
68052^338294+177597101837Stefano Morozzi12/2021
68062^338294-177807101837Stefano Morozzi01/2022
68072^338295-52929101837Stefano Morozzi01/2022
68082^338293+37407101837Stefano Morozzi04/2022
68092^338292+40573101837Stefano Morozzi06/2022
68102^338289+30957101836Stefano Morozzi01/2022
68112^338291+131825101836Stefano Morozzi02/2022
68122^338291+110111101836Stefano Morozzi03/2022
68132^338290-156423101836Stefano Morozzi03/2022
68142^338291-157845101836Stefano Morozzi03/2022
68152^338290+69243101836Stefano Morozzi09/2022
68162^338288+26623101835Stefano Morozzi12/2021
68172^338286+33325101835Stefano Morozzi02/2022
68182^338287+132633101835Stefano Morozzi02/2022
68192^338287+157149101835Stefano Morozzi02/2022
68202^338288-107193101835Stefano Morozzi03/2022
68212^338286-83333101835Stefano Morozzi04/2022
68222^338287+114425101835Stefano Morozzi05/2022
68232^338288+194403101835Stefano Morozzi09/2022
68242^338285+82131101834Stefano Morozzi02/2022
68252^338284-104217101834Stefano Morozzi02/2022
68262^338282-84533101834Stefano Morozzi04/2022
68272^338283+67545101834Stefano Morozzi09/2022
68342^338280-19745101833Enzo Doria06/2013
68282^338279-125947101833Stefano Morozzi12/2021
68292^338280-50343101833Stefano Morozzi12/2021
68302^338279+133331101833Stefano Morozzi02/2022
68312^338281-54561101833Stefano Morozzi02/2022
68322^338280+192063101833Stefano Morozzi09/2022
68332^338281+18971101833Stefano Morozzi09/2022
68352^338278+188215101832Stefano Morozzi05/2022
68362^338273+181101101831Stefano Morozzi01/2022
68372^338275+32909101831Stefano Morozzi02/2022
68382^338272+166431101831Stefano Morozzi06/2022
68392^338270-135725101830Stefano Morozzi06/2022
68402^338266+110665101829Stefano Morozzi03/2022
68412^338267+110481101829Stefano Morozzi03/2022
68422^338265-154893101828Stefano Morozzi02/2022
68432^338264+163611101828Stefano Morozzi05/2022
68442^338256+5223101826Stefano Morozzi01/2022
68452^338257+178425101826Stefano Morozzi01/2022
68462^338256-180569101826Stefano Morozzi02/2022
68472^338257-5965101826Stefano Morozzi02/2022
68482^338258-9225101826Stefano Morozzi04/2022
68492^338255-127021101825Stefano Morozzi12/2021
68502^338253+159005101825Stefano Morozzi03/2022
68512^338253+64817101825Stefano Morozzi05/2022
68522^338254-85403101825Stefano Morozzi06/2022
68532^338254+142947101825Stefano Morozzi09/2022
68542^338251+78975101824Stefano Morozzi01/2022
68552^338252-178709101824Stefano Morozzi01/2022
68562^338252+129703101824Stefano Morozzi01/2022
68572^338252+132285101824Stefano Morozzi02/2022
68582^338251-33381101824Stefano Morozzi04/2022
68592^338245-134755101822Stefano Morozzi04/2022
68602^338244-59219101822Stefano Morozzi04/2022
6868(2^338242+2782)/2101821Stefano Morozzi02/2021
68612^338241+1391101821Stefano Morozzi12/2021
68622^338242+151195101821Stefano Morozzi12/2021
68632^338240-152495101821Stefano Morozzi12/2021
68642^338240+81745101821Stefano Morozzi02/2022
68652^338241-155551101821Stefano Morozzi02/2022
68662^338242-108237101821Stefano Morozzi04/2022
68672^338242+43045101821Stefano Morozzi09/2022
68692^338238-126735101820Stefano Morozzi12/2021
68702^338238+183855101820Stefano Morozzi03/2022
68712^338238+141013101820Stefano Morozzi06/2022
68722^338234-80925101819Stefano Morozzi02/2022
68732^338234-154593101819Stefano Morozzi02/2022
68742^338235-131787101819Stefano Morozzi03/2022
68752^338233+89781101819Stefano Morozzi05/2022
6881(3*2^338236-1)/347101818Lelio R Paula03/2014
68762^338232-175539101818Stefano Morozzi12/2021
68772^338231+57345101818Stefano Morozzi02/2022
68782^338232+36097101818Stefano Morozzi03/2022
68792^338230+137403101818Stefano Morozzi04/2022
68802^338231-59569101818Stefano Morozzi04/2022
68822^338228+159247101817Stefano Morozzi03/2022
6883(34*10^101815+191)/9101816Robert Price08/2021
68842^338224+185461101816Stefano Morozzi03/2022
68852^338224+62295101816Stefano Morozzi04/2022
68862^338225+162645101816Stefano Morozzi04/2022
68872^338223+144209101816Stefano Morozzi09/2022
68926^130841+103101815Lelio R Paula10/2016
68882^338220+150405101815Stefano Morozzi11/2021
68892^338219-4147101815Stefano Morozzi01/2022
68902^338221+83391101815Stefano Morozzi02/2022
68912^338221+62937101815Stefano Morozzi04/2022
68932^338216+77473101814Stefano Morozzi12/2021
68942^338218+155299101814Stefano Morozzi01/2022
68952^338217-134745101814Stefano Morozzi04/2022
68962^338213-125631101813Stefano Morozzi12/2021
68972^338215+25845101813Stefano Morozzi12/2021
68982^338210-153537101812Stefano Morozzi01/2022
68992^338209+60915101812Stefano Morozzi03/2022
69002^338211-57297101812Stefano Morozzi03/2022
69012^338211-110257101812Stefano Morozzi06/2022
69022^338208-178787101811Stefano Morozzi01/2022
69032^338208+106153101811Stefano Morozzi01/2022
69042^338207+16499101811Stefano Morozzi06/2022
69052^338205+102471101810Stefano Morozzi12/2021
69062^338199-176377101809Stefano Morozzi12/2021
69072^338201-151233101809Stefano Morozzi12/2021
69082^338202-152061101809Stefano Morozzi12/2021
69092^338202+133785101809Stefano Morozzi03/2022
69102^338200+135643101809Stefano Morozzi03/2022
69112^338202+14169101809Stefano Morozzi05/2022
69122^338202-85211101809Stefano Morozzi06/2022
69132^338194-175845101807Stefano Morozzi12/2021
69142^338195+56771101807Stefano Morozzi02/2022
69152^338195+162365101807Stefano Morozzi04/2022
69162^338194+67497101807Stefano Morozzi09/2022
69172^338192+130387101806Stefano Morozzi01/2022
69182^338190+89359101806Stefano Morozzi05/2022
69192^338189+144605101806Stefano Morozzi09/2022
69202^338186+127245101805Stefano Morozzi12/2021
69212^338186-130013101805Stefano Morozzi02/2022
69222^338186+39235101805Stefano Morozzi05/2022
69232^338185+77315101804Stefano Morozzi12/2021
69242^338185+102519101804Stefano Morozzi12/2021
69252^338183-76539101804Stefano Morozzi12/2021
69262^338185+104489101804Stefano Morozzi01/2022
69272^338179+35361101803Stefano Morozzi03/2022
69282^338181+64235101803Stefano Morozzi05/2022
69292^338181+94047101803Stefano Morozzi09/2022
69302^338177+51807101802Stefano Morozzi12/2021
69312^338177+107385101802Stefano Morozzi02/2022
69322^338178+34287101802Stefano Morozzi03/2022
69332^338178+184207101802Stefano Morozzi03/2022
69342^338177-108901101802Stefano Morozzi04/2022
69352^338177+141569101802Stefano Morozzi06/2022
69362^338175+25161101801Stefano Morozzi11/2021
69372^338173-27901101801Stefano Morozzi01/2022
69382^338169-155965101800Stefano Morozzi02/2022
69392^338166+183237101799Stefano Morozzi02/2022
69402^338168-157835101799Stefano Morozzi03/2022
69412^338166+137107101799Stefano Morozzi04/2022
69422^338165-152139101798Stefano Morozzi12/2021
69432^338163-178947101798Stefano Morozzi02/2022
69442^338159-127575101797Stefano Morozzi12/2021
69452^338161+154259101797Stefano Morozzi01/2022
69462^338160+139947101797Stefano Morozzi05/2022
69472^338160+191815101797Stefano Morozzi09/2022
69482^338156-75269101796Stefano Morozzi12/2021
69492^338156-151247101796Stefano Morozzi12/2021
69502^338156+103273101796Stefano Morozzi01/2022
69512^338156+167053101796Stefano Morozzi09/2022
69522^338158+69303101796Stefano Morozzi09/2022
69532^338155+132621101795Stefano Morozzi02/2022
69542^338155-82605101795Stefano Morozzi03/2022
69552^338155-182631101795Stefano Morozzi03/2022
69562^338155+187755101795Stefano Morozzi04/2022
69572^338154-83975101795Stefano Morozzi04/2022
69582^338154+163759101795Stefano Morozzi05/2022
69592^338152-25767101794Stefano Morozzi12/2021
69602^338152+181927101794Stefano Morozzi02/2022
69612^338151+60779101794Stefano Morozzi03/2022
69622^338151+189149101794Stefano Morozzi05/2022
69632^338147+29343101793Stefano Morozzi01/2022
69642^338148+130803101793Stefano Morozzi01/2022
69652^338146+166167101793Stefano Morozzi06/2022
69662^338149-185073101793Stefano Morozzi06/2022
69672^338149+41757101793Stefano Morozzi09/2022
69682^338144+180697101792Stefano Morozzi01/2022
69692^338143+8589101792Stefano Morozzi02/2022
69702^338143-55611101792Stefano Morozzi02/2022
69712^338143+60623101792Stefano Morozzi03/2022
69722^338141-77301101791Stefano Morozzi12/2021
69732^338141+157145101791Stefano Morozzi02/2022
69742^338140+84745101791Stefano Morozzi03/2022
69752^338140+90073101791Stefano Morozzi05/2022
69762^338139-134719101790Stefano Morozzi04/2022
69772^338133+1445101789Stefano Morozzi12/2021
69782^338132+105643101788Stefano Morozzi01/2022
69792^338131+181871101788Stefano Morozzi02/2022
69802^338132-184539101788Stefano Morozzi04/2022
69812^338128+128953101787Stefano Morozzi01/2022
69822^338127+11021101787Stefano Morozzi03/2022
69832^338127+192935101787Stefano Morozzi09/2022
69842^338123-25959101786Stefano Morozzi12/2021
69852^338124-180765101786Stefano Morozzi02/2022
69862^338125-7129101786Stefano Morozzi03/2022
69902^338122-20117101785Enzo Doria06/2013
6991(2^338139+5)/905333101785Lelio R Paula12/2013
69872^338122+32799101785Stefano Morozzi02/2022
69882^338120+166411101785Stefano Morozzi06/2022
69892^338122+90705101785Stefano Morozzi06/2022
69922^338117+103761101784Stefano Morozzi01/2022
69932^338118+53817101784Stefano Morozzi01/2022
69942^338116+82585101784Stefano Morozzi02/2022
69952^338118+39483101784Stefano Morozzi05/2022
69962^338115+61083101783Stefano Morozzi03/2022
69972^338110-175365101782Stefano Morozzi12/2021
69982^338110-3963101782Stefano Morozzi01/2022
69992^338112+155061101782Stefano Morozzi01/2022
70002^338112+137335101782Stefano Morozzi04/2022


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: September, 22 2022 18:03 (Time in France)

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