PRP Records

Probable Primes Top 10000

(290751 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 ?
65012^338370-4787101860Stefano Morozzi02/2022
65022^338371-133491101860Stefano Morozzi04/2022
65072^338368-20369101859Enzo Doria06/2013
65082^338366+74179101859Enzo Doria04/2016
65032^338366+53853101859Stefano Morozzi01/2022
65042^338365-31665101859Stefano Morozzi03/2022
65052^338368-156345101859Stefano Morozzi03/2022
65062^338366-159867101859Stefano Morozzi04/2022
65092^338362-180845101858Stefano Morozzi02/2022
65102^338364-155769101858Stefano Morozzi02/2022
65112^338361-100875101857Stefano Morozzi12/2021
65122^338361+154169101857Stefano Morozzi01/2022
65132^338356+101271101856Stefano Morozzi12/2021
65142^338356+53383101856Stefano Morozzi01/2022
65152^338355+59393101856Stefano Morozzi03/2022
65162^338356+60775101856Stefano Morozzi03/2022
65172^338356-106257101856Stefano Morozzi03/2022
65182^338357-58921101856Stefano Morozzi04/2022
65192^338350-152933101854Stefano Morozzi01/2022
65202^338350+6337101854Stefano Morozzi01/2022
652227088^5755+5755^27088101853Hans Havermann01/2019
65212^338347+125901101853Stefano Morozzi11/2021
65232^338343+152271101852Stefano Morozzi12/2021
65242^338345+154107101852Stefano Morozzi01/2022
65252^338342+155397101852Stefano Morozzi01/2022
65262^338342-130767101852Stefano Morozzi02/2022
65272^338345-30123101852Stefano Morozzi02/2022
65282^338345+35747101852Stefano Morozzi03/2022
65292^338345-133131101852Stefano Morozzi04/2022
65302^338345-134559101852Stefano Morozzi04/2022
65312^338339+2753101851Stefano Morozzi12/2021
65322^338341+128415101851Stefano Morozzi01/2022
65332^338338+2677101850Stefano Morozzi12/2021
65342^338336+54607101850Stefano Morozzi01/2022
65352^338338+109999101850Stefano Morozzi03/2022
65362^338336+161575101850Stefano Morozzi04/2022
65372^338335+51975101849Stefano Morozzi12/2021
65382^338335-152607101849Stefano Morozzi01/2022
65392^338334+55273101849Stefano Morozzi01/2022
65402^338332+34315101849Stefano Morozzi03/2022
65412^338335+158759101849Stefano Morozzi03/2022
65422^338331+83403101848Stefano Morozzi02/2022
65432^338328-5295101847Stefano Morozzi02/2022
65442^338324-179667101846Stefano Morozzi02/2022
65452^338316-175857101844Stefano Morozzi12/2021
65462^338318+54405101844Stefano Morozzi01/2022
65472^338316+32961101844Stefano Morozzi02/2022
65482^338315-178635101843Stefano Morozzi01/2022
65492^338315+34899101843Stefano Morozzi03/2022
65502^338314-106973101843Stefano Morozzi03/2022
65512^338311-51799101842Stefano Morozzi12/2021
65522^338309+157259101842Stefano Morozzi02/2022
65532^338308-55853101841Stefano Morozzi02/2022
65542^338307+134871101841Stefano Morozzi03/2022
65552^338304+78757101840Stefano Morozzi01/2022
65562^338304-5807101840Stefano Morozzi02/2022
65572^338305+110879101840Stefano Morozzi03/2022
65582^338299+85611101839Stefano Morozzi03/2022
65592^338298-25571101838Stefano Morozzi12/2021
65602^338297+35547101838Stefano Morozzi03/2022
65612^338298+111199101838Stefano Morozzi03/2022
65622^338294-150711101837Stefano Morozzi12/2021
65632^338294+177597101837Stefano Morozzi12/2021
65642^338294-177807101837Stefano Morozzi01/2022
65652^338295-52929101837Stefano Morozzi01/2022
65662^338293+37407101837Stefano Morozzi04/2022
65672^338289+30957101836Stefano Morozzi01/2022
65682^338291+131825101836Stefano Morozzi02/2022
65692^338291+110111101836Stefano Morozzi03/2022
65702^338290-156423101836Stefano Morozzi03/2022
65712^338291-157845101836Stefano Morozzi03/2022
65722^338288+26623101835Stefano Morozzi12/2021
65732^338286+33325101835Stefano Morozzi02/2022
65742^338287+132633101835Stefano Morozzi02/2022
65752^338287+157149101835Stefano Morozzi02/2022
65762^338288-107193101835Stefano Morozzi03/2022
65772^338286-83333101835Stefano Morozzi04/2022
65782^338287+114425101835Stefano Morozzi05/2022
65792^338285+82131101834Stefano Morozzi02/2022
65802^338284-104217101834Stefano Morozzi02/2022
65812^338282-84533101834Stefano Morozzi04/2022
65862^338280-19745101833Enzo Doria06/2013
65822^338279-125947101833Stefano Morozzi12/2021
65832^338280-50343101833Stefano Morozzi12/2021
65842^338279+133331101833Stefano Morozzi02/2022
65852^338281-54561101833Stefano Morozzi02/2022
65872^338278+188215101832Stefano Morozzi05/2022
65882^338273+181101101831Stefano Morozzi01/2022
65892^338275+32909101831Stefano Morozzi02/2022
65902^338266+110665101829Stefano Morozzi03/2022
65912^338267+110481101829Stefano Morozzi03/2022
65922^338265-154893101828Stefano Morozzi02/2022
65932^338264+163611101828Stefano Morozzi05/2022
65942^338256+5223101826Stefano Morozzi01/2022
65952^338257+178425101826Stefano Morozzi01/2022
65962^338256-180569101826Stefano Morozzi02/2022
65972^338257-5965101826Stefano Morozzi02/2022
65982^338258-9225101826Stefano Morozzi04/2022
65992^338255-127021101825Stefano Morozzi12/2021
66002^338253+159005101825Stefano Morozzi03/2022
66012^338253+64817101825Stefano Morozzi05/2022
66022^338251+78975101824Stefano Morozzi01/2022
66032^338252-178709101824Stefano Morozzi01/2022
66042^338252+129703101824Stefano Morozzi01/2022
66052^338252+132285101824Stefano Morozzi02/2022
66062^338251-33381101824Stefano Morozzi04/2022
66072^338245-134755101822Stefano Morozzi04/2022
66082^338244-59219101822Stefano Morozzi04/2022
6615(2^338242+2782)/2101821Stefano Morozzi02/2021
66092^338241+1391101821Stefano Morozzi12/2021
66102^338242+151195101821Stefano Morozzi12/2021
66112^338240-152495101821Stefano Morozzi12/2021
66122^338240+81745101821Stefano Morozzi02/2022
66132^338241-155551101821Stefano Morozzi02/2022
66142^338242-108237101821Stefano Morozzi04/2022
66162^338238-126735101820Stefano Morozzi12/2021
66172^338238+183855101820Stefano Morozzi03/2022
66182^338234-80925101819Stefano Morozzi02/2022
66192^338234-154593101819Stefano Morozzi02/2022
66202^338235-131787101819Stefano Morozzi03/2022
66212^338233+89781101819Stefano Morozzi05/2022
6627(3*2^338236-1)/347101818Lelio R Paula03/2014
66222^338232-175539101818Stefano Morozzi12/2021
66232^338231+57345101818Stefano Morozzi02/2022
66242^338232+36097101818Stefano Morozzi03/2022
66252^338230+137403101818Stefano Morozzi04/2022
66262^338231-59569101818Stefano Morozzi04/2022
66282^338228+159247101817Stefano Morozzi03/2022
6629(34*10^101815+191)/9101816Robert Price08/2021
66302^338224+185461101816Stefano Morozzi03/2022
66312^338224+62295101816Stefano Morozzi04/2022
66322^338225+162645101816Stefano Morozzi04/2022
66376^130841+103101815Lelio R Paula10/2016
66332^338220+150405101815Stefano Morozzi11/2021
66342^338219-4147101815Stefano Morozzi01/2022
66352^338221+83391101815Stefano Morozzi02/2022
66362^338221+62937101815Stefano Morozzi04/2022
66382^338216+77473101814Stefano Morozzi12/2021
66392^338218+155299101814Stefano Morozzi01/2022
66402^338217-134745101814Stefano Morozzi04/2022
66412^338213-125631101813Stefano Morozzi12/2021
66422^338215+25845101813Stefano Morozzi12/2021
66432^338210-153537101812Stefano Morozzi01/2022
66442^338209+60915101812Stefano Morozzi03/2022
66452^338211-57297101812Stefano Morozzi03/2022
66462^338208-178787101811Stefano Morozzi01/2022
66472^338208+106153101811Stefano Morozzi01/2022
66482^338205+102471101810Stefano Morozzi12/2021
66492^338199-176377101809Stefano Morozzi12/2021
66502^338201-151233101809Stefano Morozzi12/2021
66512^338202-152061101809Stefano Morozzi12/2021
66522^338202+133785101809Stefano Morozzi03/2022
66532^338200+135643101809Stefano Morozzi03/2022
66542^338202+14169101809Stefano Morozzi05/2022
66552^338194-175845101807Stefano Morozzi12/2021
66562^338195+56771101807Stefano Morozzi02/2022
66572^338195+162365101807Stefano Morozzi04/2022
66582^338192+130387101806Stefano Morozzi01/2022
66592^338190+89359101806Stefano Morozzi05/2022
66602^338186+127245101805Stefano Morozzi12/2021
66612^338186-130013101805Stefano Morozzi02/2022
66622^338186+39235101805Stefano Morozzi05/2022
66632^338185+77315101804Stefano Morozzi12/2021
66642^338185+102519101804Stefano Morozzi12/2021
66652^338183-76539101804Stefano Morozzi12/2021
66662^338185+104489101804Stefano Morozzi01/2022
66672^338179+35361101803Stefano Morozzi03/2022
66682^338181+64235101803Stefano Morozzi05/2022
66692^338177+51807101802Stefano Morozzi12/2021
66702^338177+107385101802Stefano Morozzi02/2022
66712^338178+34287101802Stefano Morozzi03/2022
66722^338178+184207101802Stefano Morozzi03/2022
66732^338177-108901101802Stefano Morozzi04/2022
66742^338175+25161101801Stefano Morozzi11/2021
66752^338173-27901101801Stefano Morozzi01/2022
66762^338169-155965101800Stefano Morozzi02/2022
66772^338166+183237101799Stefano Morozzi02/2022
66782^338168-157835101799Stefano Morozzi03/2022
66792^338166+137107101799Stefano Morozzi04/2022
66802^338165-152139101798Stefano Morozzi12/2021
66812^338163-178947101798Stefano Morozzi02/2022
66822^338159-127575101797Stefano Morozzi12/2021
66832^338161+154259101797Stefano Morozzi01/2022
66842^338160+139947101797Stefano Morozzi05/2022
66852^338156-75269101796Stefano Morozzi12/2021
66862^338156-151247101796Stefano Morozzi12/2021
66872^338156+103273101796Stefano Morozzi01/2022
66882^338155+132621101795Stefano Morozzi02/2022
66892^338155-82605101795Stefano Morozzi03/2022
66902^338155-182631101795Stefano Morozzi03/2022
66912^338155+187755101795Stefano Morozzi04/2022
66922^338154-83975101795Stefano Morozzi04/2022
66932^338154+163759101795Stefano Morozzi05/2022
66942^338152-25767101794Stefano Morozzi12/2021
66952^338152+181927101794Stefano Morozzi02/2022
66962^338151+60779101794Stefano Morozzi03/2022
66972^338151+189149101794Stefano Morozzi05/2022
66982^338147+29343101793Stefano Morozzi01/2022
66992^338148+130803101793Stefano Morozzi01/2022
67002^338144+180697101792Stefano Morozzi01/2022
67012^338143+8589101792Stefano Morozzi02/2022
67022^338143-55611101792Stefano Morozzi02/2022
67032^338143+60623101792Stefano Morozzi03/2022
67042^338141-77301101791Stefano Morozzi12/2021
67052^338141+157145101791Stefano Morozzi02/2022
67062^338140+84745101791Stefano Morozzi03/2022
67072^338140+90073101791Stefano Morozzi05/2022
67082^338139-134719101790Stefano Morozzi04/2022
67092^338133+1445101789Stefano Morozzi12/2021
67102^338132+105643101788Stefano Morozzi01/2022
67112^338131+181871101788Stefano Morozzi02/2022
67122^338132-184539101788Stefano Morozzi04/2022
67132^338128+128953101787Stefano Morozzi01/2022
67142^338127+11021101787Stefano Morozzi03/2022
67152^338123-25959101786Stefano Morozzi12/2021
67162^338124-180765101786Stefano Morozzi02/2022
67172^338125-7129101786Stefano Morozzi03/2022
67192^338122-20117101785Enzo Doria06/2013
6720(2^338139+5)/905333101785Lelio R Paula12/2013
67182^338122+32799101785Stefano Morozzi02/2022
67212^338117+103761101784Stefano Morozzi01/2022
67222^338118+53817101784Stefano Morozzi01/2022
67232^338116+82585101784Stefano Morozzi02/2022
67242^338118+39483101784Stefano Morozzi05/2022
67252^338115+61083101783Stefano Morozzi03/2022
67262^338110-175365101782Stefano Morozzi12/2021
67272^338110-3963101782Stefano Morozzi01/2022
67282^338112+155061101782Stefano Morozzi01/2022
67292^338112+137335101782Stefano Morozzi04/2022
673635^65917-7092101781Enzo Doria03/2013
67302^338107-1221101781Stefano Morozzi12/2021
67312^338109+108539101781Stefano Morozzi03/2022
67322^338109-7261101781Stefano Morozzi03/2022
67332^338109-131961101781Stefano Morozzi03/2022
67342^338108+39585101781Stefano Morozzi05/2022
67352^338109+38147101781Stefano Morozzi05/2022
67372^338105+79599101780Stefano Morozzi01/2022
67382^338103-180675101780Stefano Morozzi02/2022
67392^338100-100389101779Stefano Morozzi12/2021
67402^338100+27595101779Stefano Morozzi12/2021
67412^338101+101139101779Stefano Morozzi12/2021
67422^338101+134985101779Stefano Morozzi03/2022
67432^338102+186135101779Stefano Morozzi03/2022
67442^338100+36885101779Stefano Morozzi04/2022
67452^338102-8151101779Stefano Morozzi04/2022
67462^338097+100229101778Stefano Morozzi11/2021
67472^338097-25695101778Stefano Morozzi12/2021
67482^338093-128403101777Stefano Morozzi01/2022
67492^338093+33051101777Stefano Morozzi02/2022
67502^338094+135555101777Stefano Morozzi03/2022


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: June, 23 2022 21:24 (Time in France)

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