PRP Records

Probable Primes Top 10000

(295461 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 ?
82582^338426-19797101877Enzo Doria06/2013
82512^338427-77797101877Stefano Morozzi01/2022
82522^338427-178687101877Stefano Morozzi01/2022
82532^338428-54873101877Stefano Morozzi02/2022
82542^338425+41357101877Stefano Morozzi06/2022
82552^338428+90855101877Stefano Morozzi06/2022
82562^338428-39807101877Stefano Morozzi01/2023
82572^338425-192381101877Stefano Morozzi02/2023
82592^338422-188787101876Stefano Morozzi12/2022
82602^338423-187755101876Stefano Morozzi12/2022
82612^338422-115865101876Stefano Morozzi01/2023
82622^338420-178829101875Stefano Morozzi01/2022
82632^338421-105423101875Stefano Morozzi02/2022
82642^338419-82761101875Stefano Morozzi03/2022
82652^338420+193143101875Stefano Morozzi09/2022
82662^338419+199641101875Stefano Morozzi02/2023
82672^338420-143103101875Stefano Morozzi02/2023
82682^338418-50903101874Stefano Morozzi12/2021
82692^338418+158355101874Stefano Morozzi02/2022
82702^338418+159339101874Stefano Morozzi03/2022
82712^338416+14953101874Stefano Morozzi05/2022
82722^338416+166051101874Stefano Morozzi06/2022
82732^338418-138765101874Stefano Morozzi12/2022
82742^338417+49737101874Stefano Morozzi02/2023
82752^338413-125919101873Stefano Morozzi12/2021
82762^338414+26083101873Stefano Morozzi12/2021
82772^338412-152379101873Stefano Morozzi12/2021
82782^338413+54797101873Stefano Morozzi01/2022
82792^338412+157951101873Stefano Morozzi02/2022
82802^338414+81627101873Stefano Morozzi02/2022
82812^338413+133679101873Stefano Morozzi03/2022
82822^338413+197735101873Stefano Morozzi11/2022
82832^338413-114301101873Stefano Morozzi01/2023
828411*32^67682+395101873Eric Chen04/2023
82852^338409-52183101872Stefano Morozzi12/2021
82862^338411-3789101872Stefano Morozzi01/2022
82872^338409+173237101872Stefano Morozzi11/2022
82882^338406-184175101871Stefano Morozzi04/2022
82892^338405+94451101871Stefano Morozzi09/2022
82902^338406-161217101871Stefano Morozzi12/2022
82912^338406+199929101871Stefano Morozzi02/2023
82922^338404+55717101870Stefano Morozzi01/2022
82932^338403+36261101870Stefano Morozzi04/2022
82942^338402-34431101870Stefano Morozzi04/2022
82952^338404-159215101870Stefano Morozzi04/2022
82962^338403+18363101870Stefano Morozzi09/2022
82972^338403+170235101870Stefano Morozzi11/2022
82982^338399+23045101869Stefano Morozzi11/2022
82992^338399-65535101869Stefano Morozzi01/2023
83002^338395-127449101868Stefano Morozzi12/2021
83012^338398-127637101868Stefano Morozzi01/2022
83022^338398-166533101868Stefano Morozzi01/2023
83032^338394+100317101867Stefano Morozzi11/2021
83042^338393-152749101867Stefano Morozzi01/2022
83052^338393+163025101867Stefano Morozzi04/2022
83062^338393+89229101867Stefano Morozzi05/2022
83072^338393+99647101867Stefano Morozzi02/2023
83082^338394-192471101867Stefano Morozzi02/2023
83092^338390+76627101866Stefano Morozzi12/2021
83102^338389-85081101866Stefano Morozzi06/2022
83112^338390+148113101866Stefano Morozzi11/2022
83122^338389-14253101866Stefano Morozzi01/2023
83132^338390-114297101866Stefano Morozzi01/2023
83142^338391-64225101866Stefano Morozzi01/2023
83152^338389-16971101866Stefano Morozzi02/2023
83162^338387-75685101865Stefano Morozzi12/2021
83172^338388-53459101865Stefano Morozzi01/2022
83182^338388-36575101865Stefano Morozzi12/2022
83192^338385-190311101865Stefano Morozzi01/2023
83202^338384+131563101864Stefano Morozzi01/2022
83212^338382+109069101864Stefano Morozzi03/2022
83222^338384+168987101864Stefano Morozzi09/2022
83232^338383-42367101864Stefano Morozzi02/2023
83242^338380+77125101863Stefano Morozzi12/2021
83252^338381-35539101863Stefano Morozzi06/2022
83262^338378-125841101862Stefano Morozzi12/2021
83272^338375+27815101862Stefano Morozzi01/2022
83282^338375-28509101862Stefano Morozzi01/2022
83292^338375+29985101862Stefano Morozzi01/2022
83302^338377+157881101862Stefano Morozzi02/2022
83312^338375+59589101862Stefano Morozzi03/2022
83322^338378+36399101862Stefano Morozzi04/2022
83332^338378-159773101862Stefano Morozzi04/2022
83342^338378+14883101862Stefano Morozzi05/2022
83352^338376+140173101862Stefano Morozzi06/2022
83362^338375+18761101862Stefano Morozzi09/2022
83372^338373-75103101861Stefano Morozzi12/2021
83382^338372+128877101861Stefano Morozzi01/2022
83392^338374-28731101861Stefano Morozzi01/2022
83402^338374-128427101861Stefano Morozzi01/2022
83412^338372+37875101861Stefano Morozzi04/2022
83422^338373+161541101861Stefano Morozzi04/2022
83432^338374+37759101861Stefano Morozzi04/2022
83442^338372+93235101861Stefano Morozzi09/2022
83452^338373-63273101861Stefano Morozzi12/2022
83462^338369+29427101860Stefano Morozzi01/2022
83472^338370+179133101860Stefano Morozzi01/2022
83482^338369+131501101860Stefano Morozzi01/2022
83492^338369+181649101860Stefano Morozzi02/2022
83502^338370-4787101860Stefano Morozzi02/2022
83512^338371-133491101860Stefano Morozzi04/2022
83522^338371+42023101860Stefano Morozzi09/2022
83532^338371+145323101860Stefano Morozzi11/2022
83542^338371-138145101860Stefano Morozzi12/2022
83612^338368-20369101859Enzo Doria06/2013
83622^338366+74179101859Enzo Doria04/2016
83552^338366+53853101859Stefano Morozzi01/2022
83562^338365-31665101859Stefano Morozzi03/2022
83572^338368-156345101859Stefano Morozzi03/2022
83582^338366-159867101859Stefano Morozzi04/2022
83592^338368-63509101859Stefano Morozzi12/2022
83602^338365-190975101859Stefano Morozzi01/2023
83632^338362-180845101858Stefano Morozzi02/2022
83642^338364-155769101858Stefano Morozzi02/2022
83652^338362+142843101858Stefano Morozzi09/2022
83662^338362+170019101858Stefano Morozzi11/2022
83672^338361-100875101857Stefano Morozzi12/2021
83682^338361+154169101857Stefano Morozzi01/2022
83692^338359-189645101857Stefano Morozzi01/2023
83702^338356+101271101856Stefano Morozzi12/2021
83712^338356+53383101856Stefano Morozzi01/2022
83722^338355+59393101856Stefano Morozzi03/2022
83732^338356+60775101856Stefano Morozzi03/2022
83742^338356-106257101856Stefano Morozzi03/2022
83752^338357-58921101856Stefano Morozzi04/2022
83762^338356+94605101856Stefano Morozzi09/2022
83772^338356+117813101856Stefano Morozzi09/2022
83782^338358-38475101856Stefano Morozzi12/2022
83792^338353-190291101855Stefano Morozzi01/2023
83802^338350-152933101854Stefano Morozzi01/2022
83812^338350+6337101854Stefano Morozzi01/2022
83822^338350+168759101854Stefano Morozzi09/2022
838527088^5755+5755^27088101853Hans Havermann01/2019
83832^338347+125901101853Stefano Morozzi11/2021
83842^338346-10643101853Stefano Morozzi06/2022
83862^338343+152271101852Stefano Morozzi12/2021
83872^338345+154107101852Stefano Morozzi01/2022
83882^338342+155397101852Stefano Morozzi01/2022
83892^338342-130767101852Stefano Morozzi02/2022
83902^338345-30123101852Stefano Morozzi02/2022
83912^338345+35747101852Stefano Morozzi03/2022
83922^338345-133131101852Stefano Morozzi04/2022
83932^338345-134559101852Stefano Morozzi04/2022
83942^338342+170073101852Stefano Morozzi11/2022
83952^338344+46567101852Stefano Morozzi11/2022
83962^338344+97141101852Stefano Morozzi11/2022
83972^338342-162213101852Stefano Morozzi12/2022
83982^338339+2753101851Stefano Morozzi12/2021
83992^338341+128415101851Stefano Morozzi01/2022
84002^338338+2677101850Stefano Morozzi12/2021
84012^338336+54607101850Stefano Morozzi01/2022
84022^338338+109999101850Stefano Morozzi03/2022
84032^338336+161575101850Stefano Morozzi04/2022
84042^338335+51975101849Stefano Morozzi12/2021
84052^338335-152607101849Stefano Morozzi01/2022
84062^338334+55273101849Stefano Morozzi01/2022
84072^338332+34315101849Stefano Morozzi03/2022
84082^338335+158759101849Stefano Morozzi03/2022
84092^338332+67621101849Stefano Morozzi09/2022
84102^338332-66099101849Stefano Morozzi01/2023
84112^338334-191043101849Stefano Morozzi01/2023
84122^338331+83403101848Stefano Morozzi02/2022
84132^338330-110865101848Stefano Morozzi06/2022
84142^338330+71047101848Stefano Morozzi11/2022
84152^338328-5295101847Stefano Morozzi02/2022
84162^338327+143585101847Stefano Morozzi09/2022
84172^338324-179667101846Stefano Morozzi02/2022
84182^338322+21903101846Stefano Morozzi11/2022
84192^338324+98047101846Stefano Morozzi11/2022
84202^338323-87729101846Stefano Morozzi12/2022
84212^338322-16667101846Stefano Morozzi01/2023
84222^338325-142159101846Stefano Morozzi02/2023
84232^338316-175857101844Stefano Morozzi12/2021
84242^338318+54405101844Stefano Morozzi01/2022
84252^338316+32961101844Stefano Morozzi02/2022
84262^338317+68175101844Stefano Morozzi09/2022
84272^338318-86171101844Stefano Morozzi12/2022
84282^338315-178635101843Stefano Morozzi01/2022
84292^338315+34899101843Stefano Morozzi03/2022
84302^338314-106973101843Stefano Morozzi03/2022
84312^338313+170411101843Stefano Morozzi11/2022
84322^338315-88807101843Stefano Morozzi12/2022
84332^338311-51799101842Stefano Morozzi12/2021
84342^338309+157259101842Stefano Morozzi02/2022
84352^338310+40903101842Stefano Morozzi06/2022
84362^338309-168051101842Stefano Morozzi02/2023
84372^338308-55853101841Stefano Morozzi02/2022
84382^338307+134871101841Stefano Morozzi03/2022
84392^338307+19689101841Stefano Morozzi09/2022
84402^338308+66873101841Stefano Morozzi09/2022
84412^338306+124399101841Stefano Morozzi02/2023
84422^338306-91913101841Stefano Morozzi02/2023
84432^338304+78757101840Stefano Morozzi01/2022
84442^338304-5807101840Stefano Morozzi02/2022
84452^338305+110879101840Stefano Morozzi03/2022
84462^338304+91147101840Stefano Morozzi06/2022
84472^338304-64475101840Stefano Morozzi01/2023
84482^338299+85611101839Stefano Morozzi03/2022
84492^338299-189985101839Stefano Morozzi01/2023
84502^338298-25571101838Stefano Morozzi12/2021
84512^338297+35547101838Stefano Morozzi03/2022
84522^338298+111199101838Stefano Morozzi03/2022
84532^338297+145455101838Stefano Morozzi11/2022
84542^338297-166285101838Stefano Morozzi01/2023
84552^338294-150711101837Stefano Morozzi12/2021
84562^338294+177597101837Stefano Morozzi12/2021
84572^338294-177807101837Stefano Morozzi01/2022
84582^338295-52929101837Stefano Morozzi01/2022
84592^338293+37407101837Stefano Morozzi04/2022
84602^338292+40573101837Stefano Morozzi06/2022
84612^338294+172425101837Stefano Morozzi11/2022
84622^338293-191799101837Stefano Morozzi02/2023
84632^338289+30957101836Stefano Morozzi01/2022
84642^338291+131825101836Stefano Morozzi02/2022
84652^338291+110111101836Stefano Morozzi03/2022
84662^338290-156423101836Stefano Morozzi03/2022
84672^338291-157845101836Stefano Morozzi03/2022
84682^338290+69243101836Stefano Morozzi09/2022
84692^338291-189327101836Stefano Morozzi01/2023
84702^338291+74079101836Stefano Morozzi02/2023
84712^338288+26623101835Stefano Morozzi12/2021
84722^338286+33325101835Stefano Morozzi02/2022
84732^338287+132633101835Stefano Morozzi02/2022
84742^338287+157149101835Stefano Morozzi02/2022
84752^338288-107193101835Stefano Morozzi03/2022
84762^338286-83333101835Stefano Morozzi04/2022
84772^338287+114425101835Stefano Morozzi05/2022
84782^338288+194403101835Stefano Morozzi09/2022
84792^338288-113177101835Stefano Morozzi12/2022
84802^338288-65747101835Stefano Morozzi01/2023
84812^338285+82131101834Stefano Morozzi02/2022
84822^338284-104217101834Stefano Morozzi02/2022
84832^338282-84533101834Stefano Morozzi04/2022
84842^338283+67545101834Stefano Morozzi09/2022
84852^338283-65439101834Stefano Morozzi01/2023
84942^338280-19745101833Enzo Doria06/2013
84862^338279-125947101833Stefano Morozzi12/2021
84872^338280-50343101833Stefano Morozzi12/2021
84882^338279+133331101833Stefano Morozzi02/2022
84892^338281-54561101833Stefano Morozzi02/2022
84902^338280+192063101833Stefano Morozzi09/2022
84912^338281+18971101833Stefano Morozzi09/2022
84922^338281-186711101833Stefano Morozzi12/2022
84932^338281-91273101833Stefano Morozzi01/2023
84952^338278+188215101832Stefano Morozzi05/2022
84962^338273+181101101831Stefano Morozzi01/2022
84972^338275+32909101831Stefano Morozzi02/2022
84982^338272+166431101831Stefano Morozzi06/2022
84992^338272+22011101831Stefano Morozzi11/2022
85002^338275+148271101831Stefano Morozzi11/2022


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: July, 19 2024 15:29 (Time in France)

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