PRP Records

Probable Primes Top 10000

(302395 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 ?
25012^675208+97257203258Stefano Morozzi09/2025
25022^675202-14823203257Stefano Morozzi04/2025
25032^675202-35967203257Stefano Morozzi04/2025
25042^675202-54681203257Stefano Morozzi04/2025
25052^675205-107845203257Stefano Morozzi04/2025
25062^675199-131397203256Stefano Morozzi04/2025
25072^675199-34219203256Stefano Morozzi04/2025
25082^675199-56175203256Stefano Morozzi04/2025
25092^675200+100045203256Stefano Morozzi09/2025
25102^675198-106925203255Stefano Morozzi04/2025
25112^675196+191491203255Stefano Morozzi09/2025
25122^675198+5289203255Stefano Morozzi09/2025
25132^675192-192243203254Stefano Morozzi04/2025
25142^675192+36871203254Stefano Morozzi09/2025
25152^675195+174711203254Stefano Morozzi09/2025
25162^675189-37383203253Stefano Morozzi04/2025
25172^675190-68711203253Stefano Morozzi04/2025
25182^675191-114549203253Stefano Morozzi04/2025
25192^675191-29445203253Stefano Morozzi04/2025
25202^675189+16221203253Stefano Morozzi08/2025
25212^675190+43477203253Stefano Morozzi08/2025
25222^675186-24563203252Stefano Morozzi04/2025
25232^675187-185041203252Stefano Morozzi04/2025
25242^675188-121613203252Stefano Morozzi04/2025
25252^675188+103585203252Stefano Morozzi08/2025
25262^675183-43587203251Stefano Morozzi04/2025
25272^675184-60563203251Stefano Morozzi04/2025
25282^675182+128499203251Stefano Morozzi08/2025
25292^675185+11203251Stefano Morozzi08/2025
253010247^50678-50678^10247203250Norbert Schneider03/2022
25312^675179+85311203250Stefano Morozzi08/2025
25322^675177-30495203249Stefano Morozzi04/2025
25332^675176+161467203249Stefano Morozzi08/2025
25342^675178+15745203249Stefano Morozzi08/2025
25352^675172+24927203248Stefano Morozzi08/2025
25362^675170-170651203247Stefano Morozzi04/2025
25372^675171-21231203247Stefano Morozzi04/2025
25382^675169+107577203247Stefano Morozzi08/2025
25392^675171+159551203247Stefano Morozzi08/2025
25402^675166-116351203246Stefano Morozzi04/2025
25412^675166-63465203246Stefano Morozzi04/2025
25422^675167-11047203246Stefano Morozzi04/2025
25432^675168-197307203246Stefano Morozzi04/2025
25442^675168-89379203246Stefano Morozzi04/2025
25452^675166+23097203246Stefano Morozzi07/2025
25462^675167+7725203246Stefano Morozzi07/2025
25472^675167+35999203246Stefano Morozzi07/2025
25482^675162-24471203245Stefano Morozzi04/2025
25492^675163-4971203245Stefano Morozzi04/2025
25502^675163-69489203245Stefano Morozzi04/2025
25512^675165-153541203245Stefano Morozzi04/2025
25522^675159-107809203244Stefano Morozzi04/2025
25532^675160+107463203244Stefano Morozzi07/2025
25542^675160+174355203244Stefano Morozzi07/2025
25552^675156-156785203243Stefano Morozzi04/2025
25562^675157-177433203243Stefano Morozzi04/2025
25572^675154-66563203242Stefano Morozzi04/2025
25582^675153+21477203242Stefano Morozzi07/2025
25592^675153+88607203242Stefano Morozzi07/2025
25602^675154+7609203242Stefano Morozzi07/2025
25612^675155+128255203242Stefano Morozzi07/2025
25622^675148-71007203240Stefano Morozzi04/2025
25632^675148-94815203240Stefano Morozzi04/2025
25642^675146+28957203240Stefano Morozzi06/2025
25652^675143+55865203239Stefano Morozzi06/2025
25662^675143+100619203239Stefano Morozzi06/2025
25672^675143+191895203239Stefano Morozzi06/2025
25682^675144+34207203239Stefano Morozzi06/2025
25692^675142+160903203238Stefano Morozzi06/2025
25702^675138-52371203237Stefano Morozzi04/2025
25712^675138+114979203237Stefano Morozzi06/2025
25722^675133-7273203236Stefano Morozzi04/2025
25732^675134-73473203236Stefano Morozzi04/2025
25742^675129+146825203235Stefano Morozzi06/2025
25752^675131+198275203235Stefano Morozzi06/2025
25762^675132+156585203235Stefano Morozzi06/2025
25772^675124-51675203233Stefano Morozzi04/2025
25782^675124+3907203233Stefano Morozzi06/2025
25792^675124+58711203233Stefano Morozzi06/2025
25802^675124+115557203233Stefano Morozzi06/2025
25812^675120-40809203232Stefano Morozzi04/2025
25822^675120-50573203232Stefano Morozzi04/2025
25832^675122+185715203232Stefano Morozzi06/2025
25842^675116-109889203231Stefano Morozzi04/2025
25852^675116+90607203231Stefano Morozzi06/2025
25862^675113+69461203230Stefano Morozzi06/2025
25872^675110+147825203229Stefano Morozzi06/2025
25882^675110+179107203229Stefano Morozzi06/2025
25892^675106-73241203228Stefano Morozzi02/2025
25902^675103-188727203227Stefano Morozzi02/2025
25912^675104-16199203227Stefano Morozzi02/2025
25922^675104-195303203227Stefano Morozzi02/2025
25932^675105-94521203227Stefano Morozzi02/2025
25942^675103+31599203227Stefano Morozzi04/2025
25952^675103+124629203227Stefano Morozzi06/2025
25962^675100-2775203226Stefano Morozzi02/2025
25972^675098-170703203225Stefano Morozzi02/2025
25982^675097+50651203225Stefano Morozzi04/2025
25992^675093-162123203224Stefano Morozzi02/2025
26002^675093-48955203224Stefano Morozzi02/2025
26012^675095-73591203224Stefano Morozzi02/2025
26022^675095-89937203224Stefano Morozzi02/2025
26032^675093+87767203224Stefano Morozzi04/2025
2604Phi(220603,-9)203224Henri Lifchitz12/2025
26052^675092-144539203223Stefano Morozzi02/2025
26062^675090+92253203223Stefano Morozzi04/2025
26072^675086-186387203222Stefano Morozzi02/2025
26082^675088-68505203222Stefano Morozzi02/2025
26092^675083-149199203221Stefano Morozzi02/2025
26102^675081-91425203220Stefano Morozzi02/2025
26112^675082-80213203220Stefano Morozzi02/2025
26122^675080+112651203220Stefano Morozzi04/2025
26132^675082+25435203220Stefano Morozzi04/2025
26142^675082+180613203220Stefano Morozzi04/2025
26152^675077-152683203219Stefano Morozzi02/2025
26162^675077-79213203219Stefano Morozzi02/2025
26172^675077+172221203219Stefano Morozzi04/2025
26182^675073-149065203218Stefano Morozzi02/2025
26192^675073-19663203218Stefano Morozzi02/2025
26202^675074+25755203218Stefano Morozzi04/2025
26212^675075+151203203218Stefano Morozzi04/2025
26222^675069-147135203217Stefano Morozzi02/2025
26232^675069-161461203217Stefano Morozzi02/2025
26242^675071-175189203217Stefano Morozzi02/2025
26252^675071+105575203217Stefano Morozzi04/2025
26262^675071+162299203217Stefano Morozzi04/2025
26272^675067+124541203216Stefano Morozzi04/2025
26282^675068+163695203216Stefano Morozzi04/2025
26292^675064+116445203215Stefano Morozzi04/2025
26302^675065+26045203215Stefano Morozzi04/2025
26312^675060+119983203214Stefano Morozzi02/2025
26322^675060+161301203214Stefano Morozzi02/2025
26332^675061-187773203214Stefano Morozzi02/2025
26342^675062-92193203214Stefano Morozzi02/2025
26352^675058-10403203213Stefano Morozzi01/2025
26362^675058-40337203213Stefano Morozzi01/2025
26372^675057+123557203213Stefano Morozzi02/2025
26382^675057+172475203213Stefano Morozzi02/2025
26392^675053-4801203212Stefano Morozzi01/2025
26402^675054-174341203212Stefano Morozzi01/2025
26412^675054-53697203212Stefano Morozzi01/2025
26422^675054+24825203212Stefano Morozzi02/2025
26432^675055+160265203212Stefano Morozzi02/2025
26442^675050-30015203211Stefano Morozzi01/2025
26452^675051-85941203211Stefano Morozzi01/2025
26462^675051+30885203211Stefano Morozzi02/2025
26472^675052+12537203211Stefano Morozzi02/2025
26482^675047-100299203210Stefano Morozzi01/2025
26492^675048-97313203210Stefano Morozzi01/2025
26502^675046+118119203210Stefano Morozzi02/2025
26512^675048+128941203210Stefano Morozzi02/2025
26522^675049+136359203210Stefano Morozzi02/2025
26532^675044-81087203209Stefano Morozzi01/2025
26542^675042-179811203208Stefano Morozzi01/2025
26552^675036-192939203207Stefano Morozzi01/2025
26562^675037-17853203207Stefano Morozzi01/2025
26572^675036+47101203207Stefano Morozzi02/2025
26582^675038+189589203207Stefano Morozzi02/2025
26592^675034-169727203206Stefano Morozzi01/2025
26602^675035-173055203206Stefano Morozzi01/2025
26612^675035-73551203206Stefano Morozzi01/2025
26622^675033+79109203206Stefano Morozzi02/2025
26632^675034+154057203206Stefano Morozzi02/2025
26642^675030+109245203205Stefano Morozzi01/2025
26652^675030-160047203205Stefano Morozzi01/2025
26662^675027+106733203204Stefano Morozzi01/2025
26672^675026-67377203204Stefano Morozzi01/2025
26682^675021+13335203202Stefano Morozzi01/2025
26692^675020-180497203202Stefano Morozzi01/2025
26702^675016+174777203201Stefano Morozzi01/2025
26712^675017+128379203201Stefano Morozzi01/2025
26722^675017+171249203201Stefano Morozzi01/2025
26732^675018+86517203201Stefano Morozzi01/2025
26742^675019+125891203201Stefano Morozzi01/2025
26752^675019+163251203201Stefano Morozzi01/2025
26762^675016-170847203201Stefano Morozzi01/2025
26772^675019-44755203201Stefano Morozzi01/2025
26782^675015+120225203200Stefano Morozzi01/2025
26792^675013-69831203200Stefano Morozzi01/2025
26802^675014-3897203200Stefano Morozzi01/2025
26812^675006+75357203198Stefano Morozzi01/2025
26822^675008+112231203198Stefano Morozzi01/2025
26832^675007-123309203198Stefano Morozzi01/2025
26842^675003+52529203197Stefano Morozzi01/2025
26852^675002+50595203196Stefano Morozzi01/2025
26862^674627-25161203083Enzo Doria09/2013
26872^674603-69337203076Enzo Doria12/2015
2688(182*10^203048+1)/3203050Robert Price09/2023
26892^674459+74213203033Enzo Doria04/2016
26902^674116-458879202930Enzo Doria04/2015
26912^674076-114755202918Enzo Doria04/2015
26925^289937-4^289937202658Jean-Louis Charton03/2013
26935^289926-289926^5202650Henri Lifchitz07/2024
2694(2^673184-7)/3202649Stefano Morozzi08/2022
2695(467617#+14534)/(2^2*13*43)202603Makoto Morimoto06/2019
2696(155^92479-1)/154202558Anonymous06/2024
26972^672773+219407202525Enzo Doria03/2024
26981374^64531-64531^1374202498Henri Lifchitz10/2024
26992^672556-1835519202460Enzo Doria04/2015
2700(7*10^202267+179)/3202268Robert Price02/2023
27012^671446-351401202126Enzo Doria07/2015
27022^671373+77747202104Enzo Doria05/2016
2703(2*10^202059+7)/9202059Rytis Slatkevicius01/2023
270498*10^202021-9202023Robert Price05/2023
27052^670726-114845201909Enzo Doria05/2015
27062^670539-25045201853Enzo Doria09/2013
270710^201801-93201801Robert Price02/2023
270843284^43519-43519^43284201769Norbert Schneider08/2018
27092^670213+282317201755Enzo Doria09/2016
27102^670133+89201731Stefano Morozzi05/2021
27112^669854-113501201647Enzo Doria08/2014
27122^669718+81619201606Enzo Doria08/2016
2713(299*10^201547-17)/3201549Robert Price02/2023
2714(145*10^201504-1)/9201506Serge Batalov12/2014
27152^668938-1839821201371Enzo Doria06/2015
2716(198^87623-1)/197201239Anonymous06/2024
27172^668492+1879303201237Enzo Doria08/2016
27187*10^201140-87201141Robert Price03/2023
27196^258413-5^258413201085Jean-Louis Charton03/2013
272010194^50161-50161^10194201063Norbert Schneider09/2020
27212^667894+1875589201057Enzo Doria06/2016
27222^667569-1836559200959Enzo Doria05/2015
2723(172*10^200746-1)/9200748Serge Batalov12/2014
2724(166^90407-1)/165200712Anonymous06/2024
27252^666430+782569200616Enzo Doria10/2016
2726Phi(81682,-81682)200612Henri Lifchitz12/2025
2727(13*10^200610-43)/3200611Robert Price08/2023
2728Phi(221863,-9)200552Henri Lifchitz12/2025
2729(8*10^200408-11)/3200409Robert Price07/2023
2730p(38635)#-p(38635+1)200356Henri Lifchitz11/2024
2731(19*10^200260+101)/3200261Robert Price06/2023
273243183^43183+4^4200167Serge Batalov04/2024
2733(86^103471+1)/87200163Paul Bourdelais05/2018
2734(10^(2*100072+1)+36*10^100072-1)/9200145Robert Price09/2023
27352^664778+34789200119Enzo Doria07/2024
2736Phi(23488,19!)200101Henri Lifchitz12/2025
2737103*(10^100000+20110)^2-4707*(10^100000+20110)+50383200003Robert Price05/2017
2738103*(10^100000+33798)^2-4707*(10^100000+33798)+50383200003Robert Price01/2018
2739numbpart(32235776596)200002Serge Batalov04/2017
2740(10^200001+149)/3200001Serge Batalov12/2014
274110^200000+571791200001Patrick De Geest08/2019
2742(3^419180-621444)/3200000Stefano Morozzi06/2019
2743(3^419180-1941384)/3200000Stefano Morozzi08/2019
274410^200000-45557200000Patrick De Geest08/2019
2746(10^200000-1)/9-10^58838200000Akihiko Yoshida04/2020
27452593604092947240127723272^8192+2593604092947240127722755^8192200000Youcef Lemsafer01/2023
2747(2593604092947240127723019^8192+2593604092947240127723011^8192)/2199999Youcef Lemsafer01/2023
2748(2593604092947240127723087^8192+2593604092947240127722984^8192)/147457199994Youcef Lemsafer01/2023
2749(2593604092947240127723229^8192+2593604092947240127723171^8192)/15032745986199989Youcef Lemsafer01/2023
2750(2593604092947240127723215^8192+2593604092947240127722938^8192)/12728329863169199986Youcef Lemsafer01/2023


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: January, 24 2026 18:58 (Time in France)

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