PRP Records

Probable Primes Top 10000

(301678 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 ?
22512^675235-195175203266Stefano Morozzi06/2025
22522^675235-199855203266Stefano Morozzi06/2025
22532^675229-71601203265Stefano Morozzi06/2025
22542^675219-66709203262Stefano Morozzi06/2025
22552^675220-98999203262Stefano Morozzi06/2025
22562^675221-149589203262Stefano Morozzi06/2025
22572^675211-198405203259Stefano Morozzi04/2025
22582^675208-131505203258Stefano Morozzi04/2025
22592^675202-14823203257Stefano Morozzi04/2025
22602^675202-35967203257Stefano Morozzi04/2025
22612^675202-54681203257Stefano Morozzi04/2025
22622^675205-107845203257Stefano Morozzi04/2025
22632^675199-131397203256Stefano Morozzi04/2025
22642^675199-34219203256Stefano Morozzi04/2025
22652^675199-56175203256Stefano Morozzi04/2025
22662^675198-106925203255Stefano Morozzi04/2025
22672^675192-192243203254Stefano Morozzi04/2025
22682^675189-37383203253Stefano Morozzi04/2025
22692^675190-68711203253Stefano Morozzi04/2025
22702^675191-114549203253Stefano Morozzi04/2025
22712^675191-29445203253Stefano Morozzi04/2025
22722^675186-24563203252Stefano Morozzi04/2025
22732^675187-185041203252Stefano Morozzi04/2025
22742^675188-121613203252Stefano Morozzi04/2025
22752^675183-43587203251Stefano Morozzi04/2025
22762^675184-60563203251Stefano Morozzi04/2025
227710247^50678-50678^10247203250Norbert Schneider03/2022
22782^675177-30495203249Stefano Morozzi04/2025
22792^675170-170651203247Stefano Morozzi04/2025
22802^675171-21231203247Stefano Morozzi04/2025
22812^675166-116351203246Stefano Morozzi04/2025
22822^675166-63465203246Stefano Morozzi04/2025
22832^675167-11047203246Stefano Morozzi04/2025
22842^675168-197307203246Stefano Morozzi04/2025
22852^675168-89379203246Stefano Morozzi04/2025
22862^675162-24471203245Stefano Morozzi04/2025
22872^675163-4971203245Stefano Morozzi04/2025
22882^675163-69489203245Stefano Morozzi04/2025
22892^675165-153541203245Stefano Morozzi04/2025
22902^675159-107809203244Stefano Morozzi04/2025
22912^675156-156785203243Stefano Morozzi04/2025
22922^675157-177433203243Stefano Morozzi04/2025
22932^675154-66563203242Stefano Morozzi04/2025
22942^675148-71007203240Stefano Morozzi04/2025
22952^675148-94815203240Stefano Morozzi04/2025
22962^675146+28957203240Stefano Morozzi06/2025
22972^675143+55865203239Stefano Morozzi06/2025
22982^675143+100619203239Stefano Morozzi06/2025
22992^675143+191895203239Stefano Morozzi06/2025
23002^675144+34207203239Stefano Morozzi06/2025
23012^675142+160903203238Stefano Morozzi06/2025
23022^675138-52371203237Stefano Morozzi04/2025
23032^675138+114979203237Stefano Morozzi06/2025
23042^675133-7273203236Stefano Morozzi04/2025
23052^675134-73473203236Stefano Morozzi04/2025
23062^675129+146825203235Stefano Morozzi06/2025
23072^675131+198275203235Stefano Morozzi06/2025
23082^675132+156585203235Stefano Morozzi06/2025
23092^675124-51675203233Stefano Morozzi04/2025
23102^675124+3907203233Stefano Morozzi06/2025
23112^675124+58711203233Stefano Morozzi06/2025
23122^675124+115557203233Stefano Morozzi06/2025
23132^675120-40809203232Stefano Morozzi04/2025
23142^675120-50573203232Stefano Morozzi04/2025
23152^675122+185715203232Stefano Morozzi06/2025
23162^675116-109889203231Stefano Morozzi04/2025
23172^675116+90607203231Stefano Morozzi06/2025
23182^675113+69461203230Stefano Morozzi06/2025
23192^675110+147825203229Stefano Morozzi06/2025
23202^675110+179107203229Stefano Morozzi06/2025
23212^675106-73241203228Stefano Morozzi02/2025
23222^675103-188727203227Stefano Morozzi02/2025
23232^675104-16199203227Stefano Morozzi02/2025
23242^675104-195303203227Stefano Morozzi02/2025
23252^675105-94521203227Stefano Morozzi02/2025
23262^675103+31599203227Stefano Morozzi04/2025
23272^675103+124629203227Stefano Morozzi06/2025
23282^675100-2775203226Stefano Morozzi02/2025
23292^675098-170703203225Stefano Morozzi02/2025
23302^675097+50651203225Stefano Morozzi04/2025
23312^675093-162123203224Stefano Morozzi02/2025
23322^675093-48955203224Stefano Morozzi02/2025
23332^675095-73591203224Stefano Morozzi02/2025
23342^675095-89937203224Stefano Morozzi02/2025
23352^675093+87767203224Stefano Morozzi04/2025
23362^675092-144539203223Stefano Morozzi02/2025
23372^675090+92253203223Stefano Morozzi04/2025
23382^675086-186387203222Stefano Morozzi02/2025
23392^675088-68505203222Stefano Morozzi02/2025
23402^675083-149199203221Stefano Morozzi02/2025
23412^675081-91425203220Stefano Morozzi02/2025
23422^675082-80213203220Stefano Morozzi02/2025
23432^675080+112651203220Stefano Morozzi04/2025
23442^675082+25435203220Stefano Morozzi04/2025
23452^675082+180613203220Stefano Morozzi04/2025
23462^675077-152683203219Stefano Morozzi02/2025
23472^675077-79213203219Stefano Morozzi02/2025
23482^675077+172221203219Stefano Morozzi04/2025
23492^675073-149065203218Stefano Morozzi02/2025
23502^675073-19663203218Stefano Morozzi02/2025
23512^675074+25755203218Stefano Morozzi04/2025
23522^675075+151203203218Stefano Morozzi04/2025
23532^675069-147135203217Stefano Morozzi02/2025
23542^675069-161461203217Stefano Morozzi02/2025
23552^675071-175189203217Stefano Morozzi02/2025
23562^675071+105575203217Stefano Morozzi04/2025
23572^675071+162299203217Stefano Morozzi04/2025
23582^675067+124541203216Stefano Morozzi04/2025
23592^675068+163695203216Stefano Morozzi04/2025
23602^675064+116445203215Stefano Morozzi04/2025
23612^675065+26045203215Stefano Morozzi04/2025
23622^675060+119983203214Stefano Morozzi02/2025
23632^675060+161301203214Stefano Morozzi02/2025
23642^675061-187773203214Stefano Morozzi02/2025
23652^675062-92193203214Stefano Morozzi02/2025
23662^675058-10403203213Stefano Morozzi01/2025
23672^675058-40337203213Stefano Morozzi01/2025
23682^675057+123557203213Stefano Morozzi02/2025
23692^675057+172475203213Stefano Morozzi02/2025
23702^675053-4801203212Stefano Morozzi01/2025
23712^675054-174341203212Stefano Morozzi01/2025
23722^675054-53697203212Stefano Morozzi01/2025
23732^675054+24825203212Stefano Morozzi02/2025
23742^675055+160265203212Stefano Morozzi02/2025
23752^675050-30015203211Stefano Morozzi01/2025
23762^675051-85941203211Stefano Morozzi01/2025
23772^675051+30885203211Stefano Morozzi02/2025
23782^675052+12537203211Stefano Morozzi02/2025
23792^675047-100299203210Stefano Morozzi01/2025
23802^675048-97313203210Stefano Morozzi01/2025
23812^675046+118119203210Stefano Morozzi02/2025
23822^675048+128941203210Stefano Morozzi02/2025
23832^675049+136359203210Stefano Morozzi02/2025
23842^675044-81087203209Stefano Morozzi01/2025
23852^675042-179811203208Stefano Morozzi01/2025
23862^675036-192939203207Stefano Morozzi01/2025
23872^675037-17853203207Stefano Morozzi01/2025
23882^675036+47101203207Stefano Morozzi02/2025
23892^675038+189589203207Stefano Morozzi02/2025
23902^675034-169727203206Stefano Morozzi01/2025
23912^675035-173055203206Stefano Morozzi01/2025
23922^675035-73551203206Stefano Morozzi01/2025
23932^675033+79109203206Stefano Morozzi02/2025
23942^675034+154057203206Stefano Morozzi02/2025
23952^675030+109245203205Stefano Morozzi01/2025
23962^675030-160047203205Stefano Morozzi01/2025
23972^675027+106733203204Stefano Morozzi01/2025
23982^675026-67377203204Stefano Morozzi01/2025
23992^675021+13335203202Stefano Morozzi01/2025
24002^675020-180497203202Stefano Morozzi01/2025
24012^675016+174777203201Stefano Morozzi01/2025
24022^675017+128379203201Stefano Morozzi01/2025
24032^675017+171249203201Stefano Morozzi01/2025
24042^675018+86517203201Stefano Morozzi01/2025
24052^675019+125891203201Stefano Morozzi01/2025
24062^675019+163251203201Stefano Morozzi01/2025
24072^675016-170847203201Stefano Morozzi01/2025
24082^675019-44755203201Stefano Morozzi01/2025
24092^675015+120225203200Stefano Morozzi01/2025
24102^675013-69831203200Stefano Morozzi01/2025
24112^675014-3897203200Stefano Morozzi01/2025
24122^675006+75357203198Stefano Morozzi01/2025
24132^675008+112231203198Stefano Morozzi01/2025
24142^675007-123309203198Stefano Morozzi01/2025
24152^675003+52529203197Stefano Morozzi01/2025
24162^675002+50595203196Stefano Morozzi01/2025
24172^674627-25161203083Enzo Doria09/2013
24182^674603-69337203076Enzo Doria12/2015
2419(182*10^203048+1)/3203050Robert Price09/2023
24202^674459+74213203033Enzo Doria04/2016
24212^674116-458879202930Enzo Doria04/2015
24222^674076-114755202918Enzo Doria04/2015
24235^289937-4^289937202658Jean-Louis Charton03/2013
24245^289926-289926^5202650Henri Lifchitz07/2024
2425(2^673184-7)/3202649Stefano Morozzi08/2022
2426(467617#+14534)/(2^2*13*43)202603Makoto Morimoto06/2019
2427(155^92479-1)/154202558Anonymous06/2024
24282^672773+219407202525Enzo Doria03/2024
24291374^64531-64531^1374202498Henri Lifchitz10/2024
24302^672556-1835519202460Enzo Doria04/2015
2431(7*10^202267+179)/3202268Robert Price02/2023
24322^671446-351401202126Enzo Doria07/2015
24332^671373+77747202104Enzo Doria05/2016
2434(2*10^202059+7)/9202059Rytis Slatkevicius01/2023
243598*10^202021-9202023Robert Price05/2023
24362^670726-114845201909Enzo Doria05/2015
24372^670539-25045201853Enzo Doria09/2013
243810^201801-93201801Robert Price02/2023
243943284^43519-43519^43284201769Norbert Schneider08/2018
24402^670213+282317201755Enzo Doria09/2016
24412^670133+89201731Stefano Morozzi05/2021
24422^669854-113501201647Enzo Doria08/2014
24432^669718+81619201606Enzo Doria08/2016
2444(299*10^201547-17)/3201549Robert Price02/2023
2445(145*10^201504-1)/9201506Serge Batalov12/2014
24462^668938-1839821201371Enzo Doria06/2015
2447(198^87623-1)/197201239Anonymous06/2024
24482^668492+1879303201237Enzo Doria08/2016
24497*10^201140-87201141Robert Price03/2023
24506^258413-5^258413201085Jean-Louis Charton03/2013
245110194^50161-50161^10194201063Norbert Schneider09/2020
24522^667894+1875589201057Enzo Doria06/2016
24532^667569-1836559200959Enzo Doria05/2015
2454(172*10^200746-1)/9200748Serge Batalov12/2014
2455(166^90407-1)/165200712Anonymous06/2024
24562^666430+782569200616Enzo Doria10/2016
2457(13*10^200610-43)/3200611Robert Price08/2023
2458(8*10^200408-11)/3200409Robert Price07/2023
2459p(38635)#-p(38635+1)200356Henri Lifchitz11/2024
2460(19*10^200260+101)/3200261Robert Price06/2023
246143183^43183+4^4200167Serge Batalov04/2024
2462(86^103471+1)/87200163Paul Bourdelais05/2018
2463(10^(2*100072+1)+36*10^100072-1)/9200145Robert Price09/2023
24642^664778+34789200119Enzo Doria07/2024
2465103*(10^100000+20110)^2-4707*(10^100000+20110)+50383200003Robert Price05/2017
2466103*(10^100000+33798)^2-4707*(10^100000+33798)+50383200003Robert Price01/2018
2467numbpart(32235776596)200002Serge Batalov04/2017
2468(10^200001+149)/3200001Serge Batalov12/2014
246910^200000+571791200001Patrick De Geest08/2019
2470(3^419180-621444)/3200000Stefano Morozzi06/2019
2471(3^419180-1941384)/3200000Stefano Morozzi08/2019
247210^200000-45557200000Patrick De Geest08/2019
2474(10^200000-1)/9-10^58838200000Akihiko Yoshida04/2020
24732593604092947240127723272^8192+2593604092947240127722755^8192200000Youcef Lemsafer01/2023
2475(2593604092947240127723019^8192+2593604092947240127723011^8192)/2199999Youcef Lemsafer01/2023
2476(2593604092947240127723087^8192+2593604092947240127722984^8192)/147457199994Youcef Lemsafer01/2023
2477(2593604092947240127723229^8192+2593604092947240127723171^8192)/15032745986199989Youcef Lemsafer01/2023
2478(2593604092947240127723215^8192+2593604092947240127722938^8192)/12728329863169199986Youcef Lemsafer01/2023
247992*10^199980-9199982Robert Price12/2021
2480(2593604092947240127723216^8192+2593604092947240127723163^8192)/20172788859482903707649199977Youcef Lemsafer01/2023
2481(85*10^199951-139)/9199952Robert Price08/2021
2482(10^199926+7)/29/373/2339199919Alfred Reich08/2021
24832^663838+25819199836Enzo Doria11/2023
248423*10^199833-9199835Robert Price10/2021
2485fibonacci(956176)-4199829Jon Grantham08/2023
2486(299*10^199801-17)/3199803Robert Price04/2020
24876*10^199788+77199789Robert Price06/2020
2488(2^663604+1)/270750449199757Anonymous10/2024
2489(23*10^199615+37)/3199616Robert Price02/2022
2490(17*10^199607-167)/3199608Robert Price05/2022
24912^663020-933075199589Paul Bourdelais06/2021
24922^663007+29963199585Enzo Doria03/2024
24933*2^662703-5199494Jon Grantham07/2023
2494(14*10^199447+73)/3199448Robert Price12/2018
2495(2^662424-15)/7199409Stefano Morozzi08/2022
24962^662194+22189199341Enzo Doria09/2023
24972^662103-29287199313Enzo Doria08/2015
2498(2*10^199283+457)/9199283Robert Price01/2018
2499(10^199248-19)/9199248Robert Price01/2018
2500(83*10^199213+529)/9199214Robert Price12/2021


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: June, 28 2025 10:26 (Time in France)

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