PRP Records

Probable Primes Top 10000

(303436 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 ?
27512^675198-106925203255Stefano Morozzi04/2025
27522^675196+191491203255Stefano Morozzi09/2025
27532^675198+5289203255Stefano Morozzi09/2025
27542^675192-192243203254Stefano Morozzi04/2025
27552^675192+36871203254Stefano Morozzi09/2025
27562^675195+174711203254Stefano Morozzi09/2025
27572^675189-37383203253Stefano Morozzi04/2025
27582^675190-68711203253Stefano Morozzi04/2025
27592^675191-114549203253Stefano Morozzi04/2025
27602^675191-29445203253Stefano Morozzi04/2025
27612^675189+16221203253Stefano Morozzi08/2025
27622^675190+43477203253Stefano Morozzi08/2025
27632^675186-24563203252Stefano Morozzi04/2025
27642^675187-185041203252Stefano Morozzi04/2025
27652^675188-121613203252Stefano Morozzi04/2025
27662^675188+103585203252Stefano Morozzi08/2025
27672^675183-43587203251Stefano Morozzi04/2025
27682^675184-60563203251Stefano Morozzi04/2025
27692^675182+128499203251Stefano Morozzi08/2025
27702^675185+11203251Stefano Morozzi08/2025
277110247^50678-50678^10247203250Norbert Schneider03/2022
27722^675179+85311203250Stefano Morozzi08/2025
27732^675177-30495203249Stefano Morozzi04/2025
27742^675176+161467203249Stefano Morozzi08/2025
27752^675178+15745203249Stefano Morozzi08/2025
27762^675172+24927203248Stefano Morozzi08/2025
27772^675170-170651203247Stefano Morozzi04/2025
27782^675171-21231203247Stefano Morozzi04/2025
27792^675169+107577203247Stefano Morozzi08/2025
27802^675171+159551203247Stefano Morozzi08/2025
27812^675166-116351203246Stefano Morozzi04/2025
27822^675166-63465203246Stefano Morozzi04/2025
27832^675167-11047203246Stefano Morozzi04/2025
27842^675168-197307203246Stefano Morozzi04/2025
27852^675168-89379203246Stefano Morozzi04/2025
27862^675166+23097203246Stefano Morozzi07/2025
27872^675167+7725203246Stefano Morozzi07/2025
27882^675167+35999203246Stefano Morozzi07/2025
27892^675162-24471203245Stefano Morozzi04/2025
27902^675163-4971203245Stefano Morozzi04/2025
27912^675163-69489203245Stefano Morozzi04/2025
27922^675165-153541203245Stefano Morozzi04/2025
27932^675159-107809203244Stefano Morozzi04/2025
27942^675160+107463203244Stefano Morozzi07/2025
27952^675160+174355203244Stefano Morozzi07/2025
27962^675156-156785203243Stefano Morozzi04/2025
27972^675157-177433203243Stefano Morozzi04/2025
27982^675154-66563203242Stefano Morozzi04/2025
27992^675153+21477203242Stefano Morozzi07/2025
28002^675153+88607203242Stefano Morozzi07/2025
28012^675154+7609203242Stefano Morozzi07/2025
28022^675155+128255203242Stefano Morozzi07/2025
28032^675148-71007203240Stefano Morozzi04/2025
28042^675148-94815203240Stefano Morozzi04/2025
28052^675146+28957203240Stefano Morozzi06/2025
28062^675143+55865203239Stefano Morozzi06/2025
28072^675143+100619203239Stefano Morozzi06/2025
28082^675143+191895203239Stefano Morozzi06/2025
28092^675144+34207203239Stefano Morozzi06/2025
28102^675142+160903203238Stefano Morozzi06/2025
28112^675138-52371203237Stefano Morozzi04/2025
28122^675138+114979203237Stefano Morozzi06/2025
28132^675133-7273203236Stefano Morozzi04/2025
28142^675134-73473203236Stefano Morozzi04/2025
28152^675129+146825203235Stefano Morozzi06/2025
28162^675131+198275203235Stefano Morozzi06/2025
28172^675132+156585203235Stefano Morozzi06/2025
28182^675124-51675203233Stefano Morozzi04/2025
28192^675124+3907203233Stefano Morozzi06/2025
28202^675124+58711203233Stefano Morozzi06/2025
28212^675124+115557203233Stefano Morozzi06/2025
28222^675120-40809203232Stefano Morozzi04/2025
28232^675120-50573203232Stefano Morozzi04/2025
28242^675122+185715203232Stefano Morozzi06/2025
28252^675116-109889203231Stefano Morozzi04/2025
28262^675116+90607203231Stefano Morozzi06/2025
28272^675113+69461203230Stefano Morozzi06/2025
28282^675110+147825203229Stefano Morozzi06/2025
28292^675110+179107203229Stefano Morozzi06/2025
28302^675106-73241203228Stefano Morozzi02/2025
28312^675103-188727203227Stefano Morozzi02/2025
28322^675104-16199203227Stefano Morozzi02/2025
28332^675104-195303203227Stefano Morozzi02/2025
28342^675105-94521203227Stefano Morozzi02/2025
28352^675103+31599203227Stefano Morozzi04/2025
28362^675103+124629203227Stefano Morozzi06/2025
28372^675100-2775203226Stefano Morozzi02/2025
28382^675098-170703203225Stefano Morozzi02/2025
28392^675097+50651203225Stefano Morozzi04/2025
28402^675093-162123203224Stefano Morozzi02/2025
28412^675093-48955203224Stefano Morozzi02/2025
28422^675095-73591203224Stefano Morozzi02/2025
28432^675095-89937203224Stefano Morozzi02/2025
28442^675093+87767203224Stefano Morozzi04/2025
2845Phi(220603,-9)203224Henri Lifchitz12/2025
28462^675092-144539203223Stefano Morozzi02/2025
28472^675090+92253203223Stefano Morozzi04/2025
28482^675086-186387203222Stefano Morozzi02/2025
28492^675088-68505203222Stefano Morozzi02/2025
28502^675083-149199203221Stefano Morozzi02/2025
28512^675081-91425203220Stefano Morozzi02/2025
28522^675082-80213203220Stefano Morozzi02/2025
28532^675080+112651203220Stefano Morozzi04/2025
28542^675082+25435203220Stefano Morozzi04/2025
28552^675082+180613203220Stefano Morozzi04/2025
28562^675077-152683203219Stefano Morozzi02/2025
28572^675077-79213203219Stefano Morozzi02/2025
28582^675077+172221203219Stefano Morozzi04/2025
28592^675073-149065203218Stefano Morozzi02/2025
28602^675073-19663203218Stefano Morozzi02/2025
28612^675074+25755203218Stefano Morozzi04/2025
28622^675075+151203203218Stefano Morozzi04/2025
28632^675069-147135203217Stefano Morozzi02/2025
28642^675069-161461203217Stefano Morozzi02/2025
28652^675071-175189203217Stefano Morozzi02/2025
28662^675071+105575203217Stefano Morozzi04/2025
28672^675071+162299203217Stefano Morozzi04/2025
28682^675067+124541203216Stefano Morozzi04/2025
28692^675068+163695203216Stefano Morozzi04/2025
28702^675064+116445203215Stefano Morozzi04/2025
28712^675065+26045203215Stefano Morozzi04/2025
28722^675060+119983203214Stefano Morozzi02/2025
28732^675060+161301203214Stefano Morozzi02/2025
28742^675061-187773203214Stefano Morozzi02/2025
28752^675062-92193203214Stefano Morozzi02/2025
28762^675058-10403203213Stefano Morozzi01/2025
28772^675058-40337203213Stefano Morozzi01/2025
28782^675057+123557203213Stefano Morozzi02/2025
28792^675057+172475203213Stefano Morozzi02/2025
28802^675053-4801203212Stefano Morozzi01/2025
28812^675054-174341203212Stefano Morozzi01/2025
28822^675054-53697203212Stefano Morozzi01/2025
28832^675054+24825203212Stefano Morozzi02/2025
28842^675055+160265203212Stefano Morozzi02/2025
28852^675050-30015203211Stefano Morozzi01/2025
28862^675051-85941203211Stefano Morozzi01/2025
28872^675051+30885203211Stefano Morozzi02/2025
28882^675052+12537203211Stefano Morozzi02/2025
28892^675047-100299203210Stefano Morozzi01/2025
28902^675048-97313203210Stefano Morozzi01/2025
28912^675046+118119203210Stefano Morozzi02/2025
28922^675048+128941203210Stefano Morozzi02/2025
28932^675049+136359203210Stefano Morozzi02/2025
28942^675044-81087203209Stefano Morozzi01/2025
28952^675042-179811203208Stefano Morozzi01/2025
28962^675036-192939203207Stefano Morozzi01/2025
28972^675037-17853203207Stefano Morozzi01/2025
28982^675036+47101203207Stefano Morozzi02/2025
28992^675038+189589203207Stefano Morozzi02/2025
29002^675034-169727203206Stefano Morozzi01/2025
29012^675035-173055203206Stefano Morozzi01/2025
29022^675035-73551203206Stefano Morozzi01/2025
29032^675033+79109203206Stefano Morozzi02/2025
29042^675034+154057203206Stefano Morozzi02/2025
29052^675030+109245203205Stefano Morozzi01/2025
29062^675030-160047203205Stefano Morozzi01/2025
29072^675027+106733203204Stefano Morozzi01/2025
29082^675026-67377203204Stefano Morozzi01/2025
29092^675021+13335203202Stefano Morozzi01/2025
29102^675020-180497203202Stefano Morozzi01/2025
29112^675016+174777203201Stefano Morozzi01/2025
29122^675017+128379203201Stefano Morozzi01/2025
29132^675017+171249203201Stefano Morozzi01/2025
29142^675018+86517203201Stefano Morozzi01/2025
29152^675019+125891203201Stefano Morozzi01/2025
29162^675019+163251203201Stefano Morozzi01/2025
29172^675016-170847203201Stefano Morozzi01/2025
29182^675019-44755203201Stefano Morozzi01/2025
29192^675015+120225203200Stefano Morozzi01/2025
29202^675013-69831203200Stefano Morozzi01/2025
29212^675014-3897203200Stefano Morozzi01/2025
29222^675006+75357203198Stefano Morozzi01/2025
29232^675008+112231203198Stefano Morozzi01/2025
29242^675007-123309203198Stefano Morozzi01/2025
29252^675003+52529203197Stefano Morozzi01/2025
29262^675002+50595203196Stefano Morozzi01/2025
29272^674627-25161203083Enzo Doria09/2013
29282^674603-69337203076Enzo Doria12/2015
2929(182*10^203048+1)/3203050Robert Price09/2023
29302^674459+74213203033Enzo Doria04/2016
29312^674116-458879202930Enzo Doria04/2015
29322^674076-114755202918Enzo Doria04/2015
29335^289937-4^289937202658Jean-Louis Charton03/2013
29345^289926-289926^5202650Henri Lifchitz07/2024
2935(2^673184-7)/3202649Stefano Morozzi08/2022
2936(467617#+14534)/(2^2*13*43)202603Makoto Morimoto06/2019
2937(155^92479-1)/154202558Anonymous06/2024
29382^672773+219407202525Enzo Doria03/2024
29391374^64531-64531^1374202498Henri Lifchitz10/2024
29402^672556-1835519202460Enzo Doria04/2015
2941(7*10^202267+179)/3202268Robert Price02/2023
29422^671446-351401202126Enzo Doria07/2015
29432^671373+77747202104Enzo Doria05/2016
2944(2*10^202059+7)/9202059Rytis Slatkevicius01/2023
294598*10^202021-9202023Robert Price05/2023
2946Phi(265967,7)202013Henri Lifchitz02/2026
29472^670726-114845201909Enzo Doria05/2015
29482^670539-25045201853Enzo Doria09/2013
294910^201801-93201801Robert Price02/2023
295043284^43519-43519^43284201769Norbert Schneider08/2018
29512^670213+282317201755Enzo Doria09/2016
29522^670133+89201731Stefano Morozzi05/2021
2953Sm(42558)/1793778201677Youcef Lemsafer06/2026
29542^669854-113501201647Enzo Doria08/2014
29552^669718+81619201606Enzo Doria08/2016
2956(299*10^201547-17)/3201549Robert Price02/2023
2957(145*10^201504-1)/9201506Serge Batalov12/2014
29582^668938-1839821201371Enzo Doria06/2015
2959(198^87623-1)/197201239Anonymous06/2024
29602^668492+1879303201237Enzo Doria08/2016
29617*10^201140-87201141Robert Price03/2023
29626^258413-5^258413201085Jean-Louis Charton03/2013
296310194^50161-50161^10194201063Norbert Schneider09/2020
29642^667894+1875589201057Enzo Doria06/2016
2965Phi(253483,-7)201019Henri Lifchitz02/2026
29662^667569-1836559200959Enzo Doria05/2015
2967(172*10^200746-1)/9200748Serge Batalov12/2014
2968(166^90407-1)/165200712Anonymous06/2024
29692^666430+782569200616Enzo Doria10/2016
2970Phi(81682,-81682)200612Henri Lifchitz12/2025
2971(13*10^200610-43)/3200611Robert Price08/2023
2972Phi(221863,-9)200552Henri Lifchitz12/2025
2973(8*10^200408-11)/3200409Robert Price07/2023
2974p(38635)#-p(38635+1)200356Henri Lifchitz11/2024
2975(19*10^200260+101)/3200261Robert Price06/2023
297643183^43183+4^4200167Serge Batalov04/2024
2977(86^103471+1)/87200163Paul Bourdelais05/2018
2978(10^(2*100072+1)+36*10^100072-1)/9200145Robert Price09/2023
29792^664778+34789200119Enzo Doria07/2024
2980Phi(23488,19!)200101Henri Lifchitz12/2025
2982103*(10^100000+20110)^2-4707*(10^100000+20110)+50383200003Robert Price05/2017
2981103*(10^100000+33798)^2-4707*(10^100000+33798)+50383200003Robert Price01/2018
2983numbpart(32235776596)200002Serge Batalov04/2017
2984(10^200001+149)/3200001Serge Batalov12/2014
298510^200000+571791200001Patrick De Geest08/2019
2986(3^419180-621444)/3200000Stefano Morozzi06/2019
2987(3^419180-1941384)/3200000Stefano Morozzi08/2019
298810^200000-45557200000Patrick De Geest08/2019
2989(10^200000-1)/9-10^58838200000Akihiko Yoshida04/2020
29902593604092947240127723272^8192+2593604092947240127722755^8192200000Youcef Lemsafer01/2023
2991(2593604092947240127723019^8192+2593604092947240127723011^8192)/2199999Youcef Lemsafer01/2023
2992(2593604092947240127723087^8192+2593604092947240127722984^8192)/147457199994Youcef Lemsafer01/2023
2993(2593604092947240127723229^8192+2593604092947240127723171^8192)/15032745986199989Youcef Lemsafer01/2023
2994(2593604092947240127723215^8192+2593604092947240127722938^8192)/12728329863169199986Youcef Lemsafer01/2023
299592*10^199980-9199982Robert Price12/2021
2996(2593604092947240127723216^8192+2593604092947240127723163^8192)/20172788859482903707649199977Youcef Lemsafer01/2023
2997(85*10^199951-139)/9199952Robert Price08/2021
2998(10^199926+7)/29/373/2339199919Alfred Reich08/2021
2999Sm(42193)/106739199854Youcef Lemsafer06/2026
30002^663838+25819199836Enzo Doria11/2023


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: October, 29 2026 10:10 (Time in France)

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