PRP Records

Probable Primes Top 10000

(293016 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 ?
72512^338381-35539101863Stefano Morozzi06/2022
72522^338378-125841101862Stefano Morozzi12/2021
72532^338375+27815101862Stefano Morozzi01/2022
72542^338375-28509101862Stefano Morozzi01/2022
72552^338375+29985101862Stefano Morozzi01/2022
72562^338377+157881101862Stefano Morozzi02/2022
72572^338375+59589101862Stefano Morozzi03/2022
72582^338378+36399101862Stefano Morozzi04/2022
72592^338378-159773101862Stefano Morozzi04/2022
72602^338378+14883101862Stefano Morozzi05/2022
72612^338376+140173101862Stefano Morozzi06/2022
72622^338375+18761101862Stefano Morozzi09/2022
72632^338373-75103101861Stefano Morozzi12/2021
72642^338372+128877101861Stefano Morozzi01/2022
72652^338374-28731101861Stefano Morozzi01/2022
72662^338374-128427101861Stefano Morozzi01/2022
72672^338372+37875101861Stefano Morozzi04/2022
72682^338373+161541101861Stefano Morozzi04/2022
72692^338374+37759101861Stefano Morozzi04/2022
72702^338372+93235101861Stefano Morozzi09/2022
72712^338373-63273101861Stefano Morozzi12/2022
72722^338369+29427101860Stefano Morozzi01/2022
72732^338370+179133101860Stefano Morozzi01/2022
72742^338369+131501101860Stefano Morozzi01/2022
72752^338369+181649101860Stefano Morozzi02/2022
72762^338370-4787101860Stefano Morozzi02/2022
72772^338371-133491101860Stefano Morozzi04/2022
72782^338371+42023101860Stefano Morozzi09/2022
72792^338371+145323101860Stefano Morozzi11/2022
72802^338371-138145101860Stefano Morozzi12/2022
72872^338368-20369101859Enzo Doria06/2013
72882^338366+74179101859Enzo Doria04/2016
72812^338366+53853101859Stefano Morozzi01/2022
72822^338365-31665101859Stefano Morozzi03/2022
72832^338368-156345101859Stefano Morozzi03/2022
72842^338366-159867101859Stefano Morozzi04/2022
72852^338368-63509101859Stefano Morozzi12/2022
72862^338365-190975101859Stefano Morozzi01/2023
72892^338362-180845101858Stefano Morozzi02/2022
72902^338364-155769101858Stefano Morozzi02/2022
72912^338362+142843101858Stefano Morozzi09/2022
72922^338362+170019101858Stefano Morozzi11/2022
72932^338361-100875101857Stefano Morozzi12/2021
72942^338361+154169101857Stefano Morozzi01/2022
72952^338359-189645101857Stefano Morozzi01/2023
72962^338356+101271101856Stefano Morozzi12/2021
72972^338356+53383101856Stefano Morozzi01/2022
72982^338355+59393101856Stefano Morozzi03/2022
72992^338356+60775101856Stefano Morozzi03/2022
73002^338356-106257101856Stefano Morozzi03/2022
73012^338357-58921101856Stefano Morozzi04/2022
73022^338356+94605101856Stefano Morozzi09/2022
73032^338356+117813101856Stefano Morozzi09/2022
73042^338358-38475101856Stefano Morozzi12/2022
73052^338353-190291101855Stefano Morozzi01/2023
73062^338350-152933101854Stefano Morozzi01/2022
73072^338350+6337101854Stefano Morozzi01/2022
73082^338350+168759101854Stefano Morozzi09/2022
731127088^5755+5755^27088101853Hans Havermann01/2019
73092^338347+125901101853Stefano Morozzi11/2021
73102^338346-10643101853Stefano Morozzi06/2022
73122^338343+152271101852Stefano Morozzi12/2021
73132^338345+154107101852Stefano Morozzi01/2022
73142^338342+155397101852Stefano Morozzi01/2022
73152^338342-130767101852Stefano Morozzi02/2022
73162^338345-30123101852Stefano Morozzi02/2022
73172^338345+35747101852Stefano Morozzi03/2022
73182^338345-133131101852Stefano Morozzi04/2022
73192^338345-134559101852Stefano Morozzi04/2022
73202^338342+170073101852Stefano Morozzi11/2022
73212^338344+46567101852Stefano Morozzi11/2022
73222^338344+97141101852Stefano Morozzi11/2022
73232^338342-162213101852Stefano Morozzi12/2022
73242^338339+2753101851Stefano Morozzi12/2021
73252^338341+128415101851Stefano Morozzi01/2022
73262^338338+2677101850Stefano Morozzi12/2021
73272^338336+54607101850Stefano Morozzi01/2022
73282^338338+109999101850Stefano Morozzi03/2022
73292^338336+161575101850Stefano Morozzi04/2022
73302^338335+51975101849Stefano Morozzi12/2021
73312^338335-152607101849Stefano Morozzi01/2022
73322^338334+55273101849Stefano Morozzi01/2022
73332^338332+34315101849Stefano Morozzi03/2022
73342^338335+158759101849Stefano Morozzi03/2022
73352^338332+67621101849Stefano Morozzi09/2022
73362^338332-66099101849Stefano Morozzi01/2023
73372^338334-191043101849Stefano Morozzi01/2023
73382^338331+83403101848Stefano Morozzi02/2022
73392^338330-110865101848Stefano Morozzi06/2022
73402^338330+71047101848Stefano Morozzi11/2022
73412^338328-5295101847Stefano Morozzi02/2022
73422^338327+143585101847Stefano Morozzi09/2022
73432^338324-179667101846Stefano Morozzi02/2022
73442^338322+21903101846Stefano Morozzi11/2022
73452^338324+98047101846Stefano Morozzi11/2022
73462^338323-87729101846Stefano Morozzi12/2022
73472^338322-16667101846Stefano Morozzi01/2023
73482^338325-142159101846Stefano Morozzi02/2023
73492^338316-175857101844Stefano Morozzi12/2021
73502^338318+54405101844Stefano Morozzi01/2022
73512^338316+32961101844Stefano Morozzi02/2022
73522^338317+68175101844Stefano Morozzi09/2022
73532^338318-86171101844Stefano Morozzi12/2022
73542^338315-178635101843Stefano Morozzi01/2022
73552^338315+34899101843Stefano Morozzi03/2022
73562^338314-106973101843Stefano Morozzi03/2022
73572^338313+170411101843Stefano Morozzi11/2022
73582^338315-88807101843Stefano Morozzi12/2022
73592^338311-51799101842Stefano Morozzi12/2021
73602^338309+157259101842Stefano Morozzi02/2022
73612^338310+40903101842Stefano Morozzi06/2022
73622^338309-168051101842Stefano Morozzi02/2023
73632^338308-55853101841Stefano Morozzi02/2022
73642^338307+134871101841Stefano Morozzi03/2022
73652^338307+19689101841Stefano Morozzi09/2022
73662^338308+66873101841Stefano Morozzi09/2022
73672^338306+124399101841Stefano Morozzi02/2023
73682^338306-91913101841Stefano Morozzi02/2023
73692^338304+78757101840Stefano Morozzi01/2022
73702^338304-5807101840Stefano Morozzi02/2022
73712^338305+110879101840Stefano Morozzi03/2022
73722^338304+91147101840Stefano Morozzi06/2022
73732^338304-64475101840Stefano Morozzi01/2023
73742^338299+85611101839Stefano Morozzi03/2022
73752^338299-189985101839Stefano Morozzi01/2023
73762^338298-25571101838Stefano Morozzi12/2021
73772^338297+35547101838Stefano Morozzi03/2022
73782^338298+111199101838Stefano Morozzi03/2022
73792^338297+145455101838Stefano Morozzi11/2022
73802^338297-166285101838Stefano Morozzi01/2023
73812^338294-150711101837Stefano Morozzi12/2021
73822^338294+177597101837Stefano Morozzi12/2021
73832^338294-177807101837Stefano Morozzi01/2022
73842^338295-52929101837Stefano Morozzi01/2022
73852^338293+37407101837Stefano Morozzi04/2022
73862^338292+40573101837Stefano Morozzi06/2022
73872^338294+172425101837Stefano Morozzi11/2022
73882^338293-191799101837Stefano Morozzi02/2023
73892^338289+30957101836Stefano Morozzi01/2022
73902^338291+131825101836Stefano Morozzi02/2022
73912^338291+110111101836Stefano Morozzi03/2022
73922^338290-156423101836Stefano Morozzi03/2022
73932^338291-157845101836Stefano Morozzi03/2022
73942^338290+69243101836Stefano Morozzi09/2022
73952^338291-189327101836Stefano Morozzi01/2023
73962^338291+74079101836Stefano Morozzi02/2023
73972^338288+26623101835Stefano Morozzi12/2021
73982^338286+33325101835Stefano Morozzi02/2022
73992^338287+132633101835Stefano Morozzi02/2022
74002^338287+157149101835Stefano Morozzi02/2022
74012^338288-107193101835Stefano Morozzi03/2022
74022^338286-83333101835Stefano Morozzi04/2022
74032^338287+114425101835Stefano Morozzi05/2022
74042^338288+194403101835Stefano Morozzi09/2022
74052^338288-113177101835Stefano Morozzi12/2022
74062^338288-65747101835Stefano Morozzi01/2023
74072^338285+82131101834Stefano Morozzi02/2022
74082^338284-104217101834Stefano Morozzi02/2022
74092^338282-84533101834Stefano Morozzi04/2022
74102^338283+67545101834Stefano Morozzi09/2022
74112^338283-65439101834Stefano Morozzi01/2023
74202^338280-19745101833Enzo Doria06/2013
74122^338279-125947101833Stefano Morozzi12/2021
74132^338280-50343101833Stefano Morozzi12/2021
74142^338279+133331101833Stefano Morozzi02/2022
74152^338281-54561101833Stefano Morozzi02/2022
74162^338280+192063101833Stefano Morozzi09/2022
74172^338281+18971101833Stefano Morozzi09/2022
74182^338281-186711101833Stefano Morozzi12/2022
74192^338281-91273101833Stefano Morozzi01/2023
74212^338278+188215101832Stefano Morozzi05/2022
74222^338273+181101101831Stefano Morozzi01/2022
74232^338275+32909101831Stefano Morozzi02/2022
74242^338272+166431101831Stefano Morozzi06/2022
74252^338272+22011101831Stefano Morozzi11/2022
74262^338275+148271101831Stefano Morozzi11/2022
74272^338270-135725101830Stefano Morozzi06/2022
74282^338269-136951101830Stefano Morozzi12/2022
74292^338270-192701101830Stefano Morozzi02/2023
74302^338271-42831101830Stefano Morozzi02/2023
74312^338266+110665101829Stefano Morozzi03/2022
74322^338267+110481101829Stefano Morozzi03/2022
74332^338267-166035101829Stefano Morozzi01/2023
74342^338265-154893101828Stefano Morozzi02/2022
74352^338264+163611101828Stefano Morozzi05/2022
74362^338263-62767101828Stefano Morozzi12/2022
74372^338261-188119101827Stefano Morozzi12/2022
74382^338259-40327101827Stefano Morozzi01/2023
74392^338256+5223101826Stefano Morozzi01/2022
74402^338257+178425101826Stefano Morozzi01/2022
74412^338256-180569101826Stefano Morozzi02/2022
74422^338257-5965101826Stefano Morozzi02/2022
74432^338258-9225101826Stefano Morozzi04/2022
74442^338255-127021101825Stefano Morozzi12/2021
74452^338253+159005101825Stefano Morozzi03/2022
74462^338253+64817101825Stefano Morozzi05/2022
74472^338254-85403101825Stefano Morozzi06/2022
74482^338254+142947101825Stefano Morozzi09/2022
74492^338253+121095101825Stefano Morozzi11/2022
74502^338254+196725101825Stefano Morozzi11/2022
74512^338254-91007101825Stefano Morozzi01/2023
74522^338251+78975101824Stefano Morozzi01/2022
74532^338252-178709101824Stefano Morozzi01/2022
74542^338252+129703101824Stefano Morozzi01/2022
74552^338252+132285101824Stefano Morozzi02/2022
74562^338251-33381101824Stefano Morozzi04/2022
74572^338252-13805101824Stefano Morozzi12/2022
74582^338245-134755101822Stefano Morozzi04/2022
74592^338244-59219101822Stefano Morozzi04/2022
74602^338244-64703101822Stefano Morozzi01/2023
7468(2^338242+2782)/2101821Stefano Morozzi02/2021
74612^338241+1391101821Stefano Morozzi12/2021
74622^338242+151195101821Stefano Morozzi12/2021
74632^338240-152495101821Stefano Morozzi12/2021
74642^338240+81745101821Stefano Morozzi02/2022
74652^338241-155551101821Stefano Morozzi02/2022
74662^338242-108237101821Stefano Morozzi04/2022
74672^338242+43045101821Stefano Morozzi09/2022
74692^338238-126735101820Stefano Morozzi12/2021
74702^338238+183855101820Stefano Morozzi03/2022
74712^338238+141013101820Stefano Morozzi06/2022
74722^338237+97227101820Stefano Morozzi11/2022
74732^338238+48429101820Stefano Morozzi11/2022
74742^338234-80925101819Stefano Morozzi02/2022
74752^338234-154593101819Stefano Morozzi02/2022
74762^338235-131787101819Stefano Morozzi03/2022
74772^338233+89781101819Stefano Morozzi05/2022
74782^338235+169971101819Stefano Morozzi11/2022
74792^338233-113875101819Stefano Morozzi12/2022
7486(3*2^338236-1)/347101818Lelio R Paula03/2014
74802^338232-175539101818Stefano Morozzi12/2021
74812^338231+57345101818Stefano Morozzi02/2022
74822^338232+36097101818Stefano Morozzi03/2022
74832^338230+137403101818Stefano Morozzi04/2022
74842^338231-59569101818Stefano Morozzi04/2022
74852^338230-86633101818Stefano Morozzi12/2022
74872^338228+159247101817Stefano Morozzi03/2022
74882^338227-12631101817Stefano Morozzi12/2022
7489(34*10^101815+191)/9101816Robert Price08/2021
74902^338224+185461101816Stefano Morozzi03/2022
74912^338224+62295101816Stefano Morozzi04/2022
74922^338225+162645101816Stefano Morozzi04/2022
74932^338223+144209101816Stefano Morozzi09/2022
75006^130841+103101815Lelio R Paula10/2016
74942^338220+150405101815Stefano Morozzi11/2021
74952^338219-4147101815Stefano Morozzi01/2022
74962^338221+83391101815Stefano Morozzi02/2022
74972^338221+62937101815Stefano Morozzi04/2022
74982^338220-65697101815Stefano Morozzi01/2023
74992^338220-139505101815Stefano Morozzi01/2023


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: June, 04 2023 08:38 (Time in France)

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