PRP Records

Probable Primes Top 10000

(302010 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 ?
25012^675172+24927203248Stefano Morozzi08/2025
25022^675170-170651203247Stefano Morozzi04/2025
25032^675171-21231203247Stefano Morozzi04/2025
25042^675169+107577203247Stefano Morozzi08/2025
25052^675171+159551203247Stefano Morozzi08/2025
25062^675166-116351203246Stefano Morozzi04/2025
25072^675166-63465203246Stefano Morozzi04/2025
25082^675167-11047203246Stefano Morozzi04/2025
25092^675168-197307203246Stefano Morozzi04/2025
25102^675168-89379203246Stefano Morozzi04/2025
25112^675166+23097203246Stefano Morozzi07/2025
25122^675167+7725203246Stefano Morozzi07/2025
25132^675167+35999203246Stefano Morozzi07/2025
25142^675162-24471203245Stefano Morozzi04/2025
25152^675163-4971203245Stefano Morozzi04/2025
25162^675163-69489203245Stefano Morozzi04/2025
25172^675165-153541203245Stefano Morozzi04/2025
25182^675159-107809203244Stefano Morozzi04/2025
25192^675160+107463203244Stefano Morozzi07/2025
25202^675160+174355203244Stefano Morozzi07/2025
25212^675156-156785203243Stefano Morozzi04/2025
25222^675157-177433203243Stefano Morozzi04/2025
25232^675154-66563203242Stefano Morozzi04/2025
25242^675153+21477203242Stefano Morozzi07/2025
25252^675153+88607203242Stefano Morozzi07/2025
25262^675154+7609203242Stefano Morozzi07/2025
25272^675155+128255203242Stefano Morozzi07/2025
25282^675148-71007203240Stefano Morozzi04/2025
25292^675148-94815203240Stefano Morozzi04/2025
25302^675146+28957203240Stefano Morozzi06/2025
25312^675143+55865203239Stefano Morozzi06/2025
25322^675143+100619203239Stefano Morozzi06/2025
25332^675143+191895203239Stefano Morozzi06/2025
25342^675144+34207203239Stefano Morozzi06/2025
25352^675142+160903203238Stefano Morozzi06/2025
25362^675138-52371203237Stefano Morozzi04/2025
25372^675138+114979203237Stefano Morozzi06/2025
25382^675133-7273203236Stefano Morozzi04/2025
25392^675134-73473203236Stefano Morozzi04/2025
25402^675129+146825203235Stefano Morozzi06/2025
25412^675131+198275203235Stefano Morozzi06/2025
25422^675132+156585203235Stefano Morozzi06/2025
25432^675124-51675203233Stefano Morozzi04/2025
25442^675124+3907203233Stefano Morozzi06/2025
25452^675124+58711203233Stefano Morozzi06/2025
25462^675124+115557203233Stefano Morozzi06/2025
25472^675120-40809203232Stefano Morozzi04/2025
25482^675120-50573203232Stefano Morozzi04/2025
25492^675122+185715203232Stefano Morozzi06/2025
25502^675116-109889203231Stefano Morozzi04/2025
25512^675116+90607203231Stefano Morozzi06/2025
25522^675113+69461203230Stefano Morozzi06/2025
25532^675110+147825203229Stefano Morozzi06/2025
25542^675110+179107203229Stefano Morozzi06/2025
25552^675106-73241203228Stefano Morozzi02/2025
25562^675103-188727203227Stefano Morozzi02/2025
25572^675104-16199203227Stefano Morozzi02/2025
25582^675104-195303203227Stefano Morozzi02/2025
25592^675105-94521203227Stefano Morozzi02/2025
25602^675103+31599203227Stefano Morozzi04/2025
25612^675103+124629203227Stefano Morozzi06/2025
25622^675100-2775203226Stefano Morozzi02/2025
25632^675098-170703203225Stefano Morozzi02/2025
25642^675097+50651203225Stefano Morozzi04/2025
25652^675093-162123203224Stefano Morozzi02/2025
25662^675093-48955203224Stefano Morozzi02/2025
25672^675095-73591203224Stefano Morozzi02/2025
25682^675095-89937203224Stefano Morozzi02/2025
25692^675093+87767203224Stefano Morozzi04/2025
2570Phi(220603,-9)203224Henri Lifchitz12/2025
25712^675092-144539203223Stefano Morozzi02/2025
25722^675090+92253203223Stefano Morozzi04/2025
25732^675086-186387203222Stefano Morozzi02/2025
25742^675088-68505203222Stefano Morozzi02/2025
25752^675083-149199203221Stefano Morozzi02/2025
25762^675081-91425203220Stefano Morozzi02/2025
25772^675082-80213203220Stefano Morozzi02/2025
25782^675080+112651203220Stefano Morozzi04/2025
25792^675082+25435203220Stefano Morozzi04/2025
25802^675082+180613203220Stefano Morozzi04/2025
25812^675077-152683203219Stefano Morozzi02/2025
25822^675077-79213203219Stefano Morozzi02/2025
25832^675077+172221203219Stefano Morozzi04/2025
25842^675073-149065203218Stefano Morozzi02/2025
25852^675073-19663203218Stefano Morozzi02/2025
25862^675074+25755203218Stefano Morozzi04/2025
25872^675075+151203203218Stefano Morozzi04/2025
25882^675069-147135203217Stefano Morozzi02/2025
25892^675069-161461203217Stefano Morozzi02/2025
25902^675071-175189203217Stefano Morozzi02/2025
25912^675071+105575203217Stefano Morozzi04/2025
25922^675071+162299203217Stefano Morozzi04/2025
25932^675067+124541203216Stefano Morozzi04/2025
25942^675068+163695203216Stefano Morozzi04/2025
25952^675064+116445203215Stefano Morozzi04/2025
25962^675065+26045203215Stefano Morozzi04/2025
25972^675060+119983203214Stefano Morozzi02/2025
25982^675060+161301203214Stefano Morozzi02/2025
25992^675061-187773203214Stefano Morozzi02/2025
26002^675062-92193203214Stefano Morozzi02/2025
26012^675058-10403203213Stefano Morozzi01/2025
26022^675058-40337203213Stefano Morozzi01/2025
26032^675057+123557203213Stefano Morozzi02/2025
26042^675057+172475203213Stefano Morozzi02/2025
26052^675053-4801203212Stefano Morozzi01/2025
26062^675054-174341203212Stefano Morozzi01/2025
26072^675054-53697203212Stefano Morozzi01/2025
26082^675054+24825203212Stefano Morozzi02/2025
26092^675055+160265203212Stefano Morozzi02/2025
26102^675050-30015203211Stefano Morozzi01/2025
26112^675051-85941203211Stefano Morozzi01/2025
26122^675051+30885203211Stefano Morozzi02/2025
26132^675052+12537203211Stefano Morozzi02/2025
26142^675047-100299203210Stefano Morozzi01/2025
26152^675048-97313203210Stefano Morozzi01/2025
26162^675046+118119203210Stefano Morozzi02/2025
26172^675048+128941203210Stefano Morozzi02/2025
26182^675049+136359203210Stefano Morozzi02/2025
26192^675044-81087203209Stefano Morozzi01/2025
26202^675042-179811203208Stefano Morozzi01/2025
26212^675036-192939203207Stefano Morozzi01/2025
26222^675037-17853203207Stefano Morozzi01/2025
26232^675036+47101203207Stefano Morozzi02/2025
26242^675038+189589203207Stefano Morozzi02/2025
26252^675034-169727203206Stefano Morozzi01/2025
26262^675035-173055203206Stefano Morozzi01/2025
26272^675035-73551203206Stefano Morozzi01/2025
26282^675033+79109203206Stefano Morozzi02/2025
26292^675034+154057203206Stefano Morozzi02/2025
26302^675030+109245203205Stefano Morozzi01/2025
26312^675030-160047203205Stefano Morozzi01/2025
26322^675027+106733203204Stefano Morozzi01/2025
26332^675026-67377203204Stefano Morozzi01/2025
26342^675021+13335203202Stefano Morozzi01/2025
26352^675020-180497203202Stefano Morozzi01/2025
26362^675016+174777203201Stefano Morozzi01/2025
26372^675017+128379203201Stefano Morozzi01/2025
26382^675017+171249203201Stefano Morozzi01/2025
26392^675018+86517203201Stefano Morozzi01/2025
26402^675019+125891203201Stefano Morozzi01/2025
26412^675019+163251203201Stefano Morozzi01/2025
26422^675016-170847203201Stefano Morozzi01/2025
26432^675019-44755203201Stefano Morozzi01/2025
26442^675015+120225203200Stefano Morozzi01/2025
26452^675013-69831203200Stefano Morozzi01/2025
26462^675014-3897203200Stefano Morozzi01/2025
26472^675006+75357203198Stefano Morozzi01/2025
26482^675008+112231203198Stefano Morozzi01/2025
26492^675007-123309203198Stefano Morozzi01/2025
26502^675003+52529203197Stefano Morozzi01/2025
26512^675002+50595203196Stefano Morozzi01/2025
26522^674627-25161203083Enzo Doria09/2013
26532^674603-69337203076Enzo Doria12/2015
2654(182*10^203048+1)/3203050Robert Price09/2023
26552^674459+74213203033Enzo Doria04/2016
26562^674116-458879202930Enzo Doria04/2015
26572^674076-114755202918Enzo Doria04/2015
26585^289937-4^289937202658Jean-Louis Charton03/2013
26595^289926-289926^5202650Henri Lifchitz07/2024
2660(2^673184-7)/3202649Stefano Morozzi08/2022
2661(467617#+14534)/(2^2*13*43)202603Makoto Morimoto06/2019
2662(155^92479-1)/154202558Anonymous06/2024
26632^672773+219407202525Enzo Doria03/2024
26641374^64531-64531^1374202498Henri Lifchitz10/2024
26652^672556-1835519202460Enzo Doria04/2015
2666(7*10^202267+179)/3202268Robert Price02/2023
26672^671446-351401202126Enzo Doria07/2015
26682^671373+77747202104Enzo Doria05/2016
2669(2*10^202059+7)/9202059Rytis Slatkevicius01/2023
267098*10^202021-9202023Robert Price05/2023
26712^670726-114845201909Enzo Doria05/2015
26722^670539-25045201853Enzo Doria09/2013
267310^201801-93201801Robert Price02/2023
267443284^43519-43519^43284201769Norbert Schneider08/2018
26752^670213+282317201755Enzo Doria09/2016
26762^670133+89201731Stefano Morozzi05/2021
26772^669854-113501201647Enzo Doria08/2014
26782^669718+81619201606Enzo Doria08/2016
2679(299*10^201547-17)/3201549Robert Price02/2023
2680(145*10^201504-1)/9201506Serge Batalov12/2014
26812^668938-1839821201371Enzo Doria06/2015
2682(198^87623-1)/197201239Anonymous06/2024
26832^668492+1879303201237Enzo Doria08/2016
26847*10^201140-87201141Robert Price03/2023
26856^258413-5^258413201085Jean-Louis Charton03/2013
268610194^50161-50161^10194201063Norbert Schneider09/2020
26872^667894+1875589201057Enzo Doria06/2016
26882^667569-1836559200959Enzo Doria05/2015
2689(172*10^200746-1)/9200748Serge Batalov12/2014
2690(166^90407-1)/165200712Anonymous06/2024
26912^666430+782569200616Enzo Doria10/2016
2692Phi(81682,-81682)200612Henri Lifchitz12/2025
2693(13*10^200610-43)/3200611Robert Price08/2023
2694Phi(221863,-9)200552Henri Lifchitz12/2025
2695(8*10^200408-11)/3200409Robert Price07/2023
2696p(38635)#-p(38635+1)200356Henri Lifchitz11/2024
2697(19*10^200260+101)/3200261Robert Price06/2023
269843183^43183+4^4200167Serge Batalov04/2024
2699(86^103471+1)/87200163Paul Bourdelais05/2018
2700(10^(2*100072+1)+36*10^100072-1)/9200145Robert Price09/2023
27012^664778+34789200119Enzo Doria07/2024
2702Phi(23488,19!)200101Henri Lifchitz12/2025
2703103*(10^100000+20110)^2-4707*(10^100000+20110)+50383200003Robert Price05/2017
2704103*(10^100000+33798)^2-4707*(10^100000+33798)+50383200003Robert Price01/2018
2705numbpart(32235776596)200002Serge Batalov04/2017
2706(10^200001+149)/3200001Serge Batalov12/2014
270710^200000+571791200001Patrick De Geest08/2019
2708(3^419180-621444)/3200000Stefano Morozzi06/2019
2709(3^419180-1941384)/3200000Stefano Morozzi08/2019
271010^200000-45557200000Patrick De Geest08/2019
2711(10^200000-1)/9-10^58838200000Akihiko Yoshida04/2020
27122593604092947240127723272^8192+2593604092947240127722755^8192200000Youcef Lemsafer01/2023
2713(2593604092947240127723019^8192+2593604092947240127723011^8192)/2199999Youcef Lemsafer01/2023
2714(2593604092947240127723087^8192+2593604092947240127722984^8192)/147457199994Youcef Lemsafer01/2023
2715(2593604092947240127723229^8192+2593604092947240127723171^8192)/15032745986199989Youcef Lemsafer01/2023
2716(2593604092947240127723215^8192+2593604092947240127722938^8192)/12728329863169199986Youcef Lemsafer01/2023
271792*10^199980-9199982Robert Price12/2021
2718(2593604092947240127723216^8192+2593604092947240127723163^8192)/20172788859482903707649199977Youcef Lemsafer01/2023
2719(85*10^199951-139)/9199952Robert Price08/2021
2720(10^199926+7)/29/373/2339199919Alfred Reich08/2021
27212^663838+25819199836Enzo Doria11/2023
272223*10^199833-9199835Robert Price10/2021
2723fibonacci(956176)-4199829Jon Grantham08/2023
2724(299*10^199801-17)/3199803Robert Price04/2020
27256*10^199788+77199789Robert Price06/2020
2726(2^663604+1)/270750449199757Anonymous10/2024
2727(23*10^199615+37)/3199616Robert Price02/2022
2728(17*10^199607-167)/3199608Robert Price05/2022
27292^663020-933075199589Paul Bourdelais06/2021
27302^663007+29963199585Enzo Doria03/2024
27313*2^662703-5199494Jon Grantham07/2023
2732(14*10^199447+73)/3199448Robert Price12/2018
2733(2^662424-15)/7199409Stefano Morozzi08/2022
27342^662194+22189199341Enzo Doria09/2023
27352^662103-29287199313Enzo Doria08/2015
2736(2*10^199283+457)/9199283Robert Price01/2018
2737(10^199248-19)/9199248Robert Price01/2018
2738(83*10^199213+529)/9199214Robert Price12/2021
2739(194*10^199146-17)/3199148Robert Price09/2020
2740(151*10^199003-1)/3199005Robert Price03/2020
27419*10^198946-73198947Robert Price01/2021
274245*10^198931-7198933Robert Price07/2020
27432^660482-2891198825Yves Minet05/2016
27442^659594+37729198558Enzo Doria10/2024
27452^659589-21198557Stefano Morozzi07/2022
27462^659583+1879223198555Enzo Doria08/2016
2747(53*10^198529+1)/9198530Serge Batalov07/2010
2748(17^161333-1)/913790128198504Paul Vanderveen05/2025
2749(5^329624)%(4^329624)198454Henri Lifchitz07/2025
2750(49*10^198403+311)/9198404Robert Price06/2019


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: December, 03 2025 09:39 (Time in France)

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