PRP Records

Probable Primes Top 10000

(295461 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 ?
87512^338101+68505101779Stefano Morozzi09/2022
87522^338100-42867101779Stefano Morozzi02/2023
87532^338097+100229101778Stefano Morozzi11/2021
87542^338097-25695101778Stefano Morozzi12/2021
87552^338098-110043101778Stefano Morozzi06/2022
87562^338099-191389101778Stefano Morozzi01/2023
87572^338093-128403101777Stefano Morozzi01/2022
87582^338093+33051101777Stefano Morozzi02/2022
87592^338094+135555101777Stefano Morozzi03/2022
87602^338095-32395101777Stefano Morozzi03/2022
87612^338090-175353101776Stefano Morozzi12/2021
87622^338090+33277101776Stefano Morozzi02/2022
87632^338091-105601101776Stefano Morozzi02/2022
87642^338091-32127101776Stefano Morozzi03/2022
87652^338092+12873101776Stefano Morozzi04/2022
87662^338091-58485101776Stefano Morozzi04/2022
87672^338086+177643101775Stefano Morozzi12/2021
87682^338089+82905101775Stefano Morozzi02/2022
87692^338088+87565101775Stefano Morozzi04/2022
87702^338088-166205101775Stefano Morozzi01/2023
87712^338089-140053101775Stefano Morozzi01/2023
87722^338087+124935101775Stefano Morozzi02/2023
87732^338085-3301101774Stefano Morozzi01/2022
87742^338084+108691101774Stefano Morozzi03/2022
87752^338083+164369101774Stefano Morozzi05/2022
87762^338080+107521101773Stefano Morozzi02/2022
87772^338080-156917101773Stefano Morozzi03/2022
87782^338081+199775101773Stefano Morozzi02/2023
87792^338076+62311101772Stefano Morozzi04/2022
87802^338079+161745101772Stefano Morozzi04/2022
87812^338078-60075101772Stefano Morozzi06/2022
87822^338079+167079101772Stefano Morozzi09/2022
87832^338076+122535101772Stefano Morozzi11/2022
87842^338077+95619101772Stefano Morozzi11/2022
87852^338078+20539101772Stefano Morozzi11/2022
87862^338076-36813101772Stefano Morozzi12/2022
87872^338078-64911101772Stefano Morozzi01/2023
87882^338073-77971101771Stefano Morozzi01/2022
87892^338074+55579101771Stefano Morozzi01/2022
87902^338073-81813101771Stefano Morozzi03/2022
87912^338073+138645101771Stefano Morozzi05/2022
87922^338075+148043101771Stefano Morozzi11/2022
87932^338070-152607101770Stefano Morozzi01/2022
87942^338070+138787101770Stefano Morozzi05/2022
87952^338071+165249101770Stefano Morozzi06/2022
87962^338070+70359101770Stefano Morozzi11/2022
87972^338071+98573101770Stefano Morozzi11/2022
87982^338069+79365101769Stefano Morozzi01/2022
87992^338069+107571101769Stefano Morozzi02/2022
88002^338068+73035101769Stefano Morozzi11/2022
88012^338064+100087101768Stefano Morozzi11/2021
88022^338064-83793101768Stefano Morozzi04/2022
88032^338064+193701101768Stefano Morozzi09/2022
88042^338065+199947101768Stefano Morozzi02/2023
88052^338060-151047101767Stefano Morozzi12/2021
88062^338060-130805101767Stefano Morozzi02/2022
88072^338060-136593101767Stefano Morozzi12/2022
88082^338062-15725101767Stefano Morozzi01/2023
88092^338058-76415101766Stefano Morozzi12/2021
88102^338057+83865101766Stefano Morozzi03/2022
88112^338057+86997101766Stefano Morozzi04/2022
88122^338058+188589101766Stefano Morozzi05/2022
88132^338058+68089101766Stefano Morozzi09/2022
88142^338059+121803101766Stefano Morozzi11/2022
88152^338057-39021101766Stefano Morozzi01/2023
88162^338056+50605101765Stefano Morozzi11/2021
88172^338053+53231101765Stefano Morozzi01/2022
88182^338054-180497101765Stefano Morozzi02/2022
88192^338053+59891101765Stefano Morozzi03/2022
88202^338056+33987101765Stefano Morozzi03/2022
88212^338055-157779101765Stefano Morozzi03/2022
88222^338056+90307101765Stefano Morozzi06/2022
88232^338055+124443101765Stefano Morozzi02/2023
88242^338052-55373101764Stefano Morozzi02/2022
88252^338050-138281101764Stefano Morozzi12/2022
88262^338050+148959101764Stefano Morozzi02/2023
88272^338051-118159101764Stefano Morozzi02/2023
88282^338048+31185101763Stefano Morozzi01/2022
88292^338047+31935101763Stefano Morozzi02/2022
88302^338047+108011101763Stefano Morozzi02/2022
88312^338049+56777101763Stefano Morozzi02/2022
88322^338049-7531101763Stefano Morozzi03/2022
88332^338048-304019101763Harrison Mesh06/2022
88342^338049+191291101763Stefano Morozzi06/2022
88352^338047-187699101763Stefano Morozzi12/2022
88362^338047-66405101763Stefano Morozzi01/2023
88372^338049-192633101763Stefano Morozzi02/2023
88382^338046-25841101762Stefano Morozzi12/2021
88392^338046-2285101762Stefano Morozzi12/2021
88402^338046-177851101762Stefano Morozzi01/2022
88412^338043+84045101762Stefano Morozzi03/2022
88422^338046-57573101762Stefano Morozzi03/2022
88432^338044-8177101762Stefano Morozzi04/2022
88442^338045-58443101762Stefano Morozzi04/2022
88452^338044+193497101762Stefano Morozzi09/2022
88462^338043+45701101762Stefano Morozzi11/2022
88472^338044-114197101762Stefano Morozzi01/2023
88482^338042+194973101761Stefano Morozzi11/2022
88492^338040-164483101761Stefano Morozzi01/2023
88502^338038-57887101760Stefano Morozzi04/2022
88512^338037+139169101760Stefano Morozzi05/2022
88522^338037+188595101760Stefano Morozzi05/2022
88532^338038-187241101760Stefano Morozzi12/2022
88542^338039+124035101760Stefano Morozzi02/2023
88552^338037-42523101760Stefano Morozzi02/2023
88562^338034+125653101759Stefano Morozzi11/2021
88572^338034-25211101759Stefano Morozzi12/2021
88582^338033-154099101759Stefano Morozzi02/2022
88592^338034-31803101759Stefano Morozzi03/2022
88602^338033+162311101759Stefano Morozzi04/2022
88612^338033-83071101759Stefano Morozzi04/2022
88622^338035-158095101759Stefano Morozzi04/2022
88632^338036-34193101759Stefano Morozzi04/2022
88642^338036+42873101759Stefano Morozzi09/2022
88652^338036+93373101759Stefano Morozzi09/2022
88662^338035+146129101759Stefano Morozzi11/2022
88672^338036+23983101759Stefano Morozzi11/2022
88682^338036+170433101759Stefano Morozzi11/2022
88692^338031+79989101758Stefano Morozzi01/2022
88702^338032+158073101758Stefano Morozzi02/2022
88712^338030-54371101758Stefano Morozzi02/2022
88722^338032-180747101758Stefano Morozzi02/2022
88732^338029-27909101757Stefano Morozzi01/2022
88742^338027+70475101757Stefano Morozzi11/2022
88752^338028-38705101757Stefano Morozzi12/2022
88762^338028-140459101757Stefano Morozzi01/2023
88772^338024-128495101756Stefano Morozzi01/2022
88782^338025+34785101756Stefano Morozzi03/2022
88792^338025-181765101756Stefano Morozzi03/2022
88802^338024+63765101756Stefano Morozzi05/2022
88812^338023-160621101756Stefano Morozzi06/2022
88822^338026+117553101756Stefano Morozzi09/2022
88832^338020-52437101755Stefano Morozzi12/2021
88842^338021+160241101755Stefano Morozzi03/2022
88852^338022+185845101755Stefano Morozzi03/2022
88862^338021+189587101755Stefano Morozzi05/2022
88872^338021-85891101755Stefano Morozzi06/2022
88882^338020-87797101755Stefano Morozzi12/2022
88892^338018-102741101754Stefano Morozzi01/2022
88902^338018+29937101754Stefano Morozzi01/2022
88912^338017-29505101754Stefano Morozzi02/2022
88922^338018-30873101754Stefano Morozzi02/2022
88932^338018-157013101754Stefano Morozzi03/2022
88942^338019+168929101754Stefano Morozzi09/2022
88952^338017+172721101754Stefano Morozzi11/2022
88962^338018-136131101754Stefano Morozzi12/2022
88972^338016+50797101753Stefano Morozzi11/2021
88982^338016+26707101753Stefano Morozzi12/2021
88992^338014+104677101753Stefano Morozzi01/2022
89002^338013+145091101753Stefano Morozzi11/2022
89012^338016-16335101753Stefano Morozzi01/2023
89042^338010-19833101752Enzo Doria06/2013
89022^338011+28665101752Stefano Morozzi01/2022
89032^338010+89505101752Stefano Morozzi05/2022
89052^338007+58985101751Stefano Morozzi03/2022
89062^338008+109741101751Stefano Morozzi03/2022
89072^338009+9527101751Stefano Morozzi03/2022
89082^338007+14511101751Stefano Morozzi05/2022
89092^338008+67957101751Stefano Morozzi09/2022
89102^338009-11935101751Stefano Morozzi12/2022
89112^338007-14199101751Stefano Morozzi01/2023
89122^338005-75829101750Stefano Morozzi12/2021
89132^338006-125055101750Stefano Morozzi12/2021
89142^338006+5013101750Stefano Morozzi01/2022
89152^338003+40269101750Stefano Morozzi06/2022
89162^338006+166495101750Stefano Morozzi06/2022
89172^338003-188551101750Stefano Morozzi12/2022
89182^338006-118041101750Stefano Morozzi02/2023
89192^338000+25113101749Stefano Morozzi12/2021
89213^213215-76101730Lelio R Paula09/2016
892023907^17998+17998^23907101730Hans Havermann01/2019
892210^101728+154953101729Patrick De Geest02/2020
89252^337930+63101728Lelio R Paula07/2011
892310^101728-987654321101728Robert Price12/2019
892410^101728-60741101728Patrick De Geest02/2020
89262^337920+1869661101725Enzo Doria05/2016
89272^337922+100280245065101725Paul Bourdelais10/2021
892824116^16509+16509^24116101715Hans Havermann01/2019
8929(2^337875+3174)/2101711Stefano Morozzi09/2020
89302^337859-19645101706Enzo Doria05/2013
89312^337754+1869169101675Enzo Doria05/2016
8932(7*10^(2*50830+1)-9*10^50830-7)/9101661Robert Price10/2023
89333*10^101657-37101658Robert Price07/2018
8934(31*2^337677-1)/593101650Lelio R Paula03/2014
893511^97605-24101646Lelio R Paula10/2016
8936(83*10^101636+133)/9101637Robert Price08/2021
8937(2^337624+3606)/2101635Stefano Morozzi09/2020
89388^112539-112539101633Robert Price01/2014
8939(2^337575+1818)/2101620Stefano Morozzi02/2021
8940(11*10^101613+61)/9101614Tyler Busby01/2023
894125694^9003+9003^25694101605Hans Havermann12/2018
89422^337515-19869101603Enzo Doria06/2013
89432^337473+719101590Lelio R Paula08/2011
8944(2^337485-509203)/656647157101585Lelio R Paula12/2013
89452^337452-108815101584Enzo Doria03/2014
89462^337453+1185101584Lelio R Paula09/2016
8947(41*10^101583+319)/9101584Robert Price06/2021
89482^337410-113561101571Enzo Doria08/2014
89492^337387+855101564Lelio R Paula09/2016
89502^337367-17295101558Lelio R Paula09/2016
89512^337342-109035101551Enzo Doria04/2014
895223703^19238+19238^23703101548Hans Havermann12/2018
8953(26*10^101537-167)/3101538Robert Price10/2019
89542^337267-19101528Lelio R Paula07/2011
8955(2^337259+1766)/2101525Stefano Morozzi09/2020
8956(2^337257+2306)/2101525Stefano Morozzi02/2021
89572^337222-340871101514Harrison Mesh06/2022
8958(2^337195+2646)/2101506Stefano Morozzi09/2020
89592^337183-19989101503Enzo Doria06/2013
89602^337149+72425101492Enzo Doria04/2016
896124041^16642+16642^24041101483Hans Havermann12/2018
896233982^969+969^33982101482Hans Havermann12/2018
89632^337101-20241101478Enzo Doria06/2013
89642^337035-20001101458Enzo Doria06/2013
8965(7*10^101456+89)/3101457Robert Price08/2020
89662^337017-16995101453Lelio R Paula09/2016
8967(347^40448+1)/(347^512+1)101451Martin Hopf12/2023
8968(8677^25759-1)/8676101445Serge Batalov06/2022
89692^336979-115315101441Enzo Doria06/2015
89702^336970-20885101439Enzo Doria06/2013
89712^336958+79101435Lelio R Paula10/2009
8972(1589^31687-1)/1588101431Serge Batalov06/2022
89732^336942+169101430Lelio R Paula10/2009
8974(193929^19321-1)/(193929^139-1)101428Ryan Propper11/2023
8975(15185*2^336894-1)/7939101416Lelio R Paula05/2015
89764*10^101415-89101416Robert Price11/2018
8977(14*10^101410-89)/3101411Robert Price05/2020
89782^336871+257463101409Tony Prest / Never Odd Or Even04/2016
89792^336871+318105101409Tony Prest / Never Odd Or Even04/2016
89802^336871+1010813101409Tony Prest / Never Odd Or Even04/2016
89812^336871+2302245101409Tony Prest / Never Odd Or Even04/2016
89822^336871+389273101409Tony Prest / Never Odd Or Even04/2016
89832^336871+1685475101409Tony Prest / Never Odd Or Even04/2016
89842^336871+1068119101409Tony Prest / Never Odd Or Even04/2016
89852^336871+586905101409Tony Prest / Never Odd Or Even04/2016
89862^336871+674571101409Tony Prest / Never Odd Or Even04/2016
89872^336871+707009101409Tony Prest / Never Odd Or Even04/2016
89882^336871+1210299101409Tony Prest / Never Odd Or Even04/2016
89892^336871+1921185101409Tony Prest / Never Odd Or Even04/2016
89902^336871+2003973101409Tony Prest / Never Odd Or Even04/2016
89912^336871+2656475101409Tony Prest / Never Odd Or Even04/2016
89922^336871+2703023101409Tony Prest / Never Odd Or Even04/2016
89932^336871+2704545101409Tony Prest / Never Odd Or Even04/2016
89942^336871+2766801101409Tony Prest / Never Odd Or Even04/2016
89952^336871+2127735101409Tony Prest / Never Odd Or Even04/2016
8996(2^336871+821089)/3101408Tony Prest / Never Odd Or Even05/2016
8997(2^336871+119567)/5101408Tony Prest / Never Odd Or Even05/2016
8998(2^336871+398161)/3101408Tony Prest / Never Odd Or Even05/2016
8999(2^336871+625889)/7101408Tony Prest / Never Odd Or Even05/2016
900024097^16150+16150^24097101405Hans Havermann12/2018


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: July, 19 2024 15:29 (Time in France)

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