PRP Records

Probable Primes Top 10000

(291910 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 ?
75012^338090+33277101776Stefano Morozzi02/2022
75022^338091-105601101776Stefano Morozzi02/2022
75032^338091-32127101776Stefano Morozzi03/2022
75042^338092+12873101776Stefano Morozzi04/2022
75052^338091-58485101776Stefano Morozzi04/2022
75062^338086+177643101775Stefano Morozzi12/2021
75072^338089+82905101775Stefano Morozzi02/2022
75082^338088+87565101775Stefano Morozzi04/2022
75092^338088-166205101775Stefano Morozzi01/2023
75102^338089-140053101775Stefano Morozzi01/2023
75112^338085-3301101774Stefano Morozzi01/2022
75122^338084+108691101774Stefano Morozzi03/2022
75132^338083+164369101774Stefano Morozzi05/2022
75142^338080+107521101773Stefano Morozzi02/2022
75152^338080-156917101773Stefano Morozzi03/2022
75162^338076+62311101772Stefano Morozzi04/2022
75172^338079+161745101772Stefano Morozzi04/2022
75182^338078-60075101772Stefano Morozzi06/2022
75192^338079+167079101772Stefano Morozzi09/2022
75202^338076+122535101772Stefano Morozzi11/2022
75212^338077+95619101772Stefano Morozzi11/2022
75222^338078+20539101772Stefano Morozzi11/2022
75232^338076-36813101772Stefano Morozzi12/2022
75242^338078-64911101772Stefano Morozzi01/2023
75252^338073-77971101771Stefano Morozzi01/2022
75262^338074+55579101771Stefano Morozzi01/2022
75272^338073-81813101771Stefano Morozzi03/2022
75282^338073+138645101771Stefano Morozzi05/2022
75292^338075+148043101771Stefano Morozzi11/2022
75302^338070-152607101770Stefano Morozzi01/2022
75312^338070+138787101770Stefano Morozzi05/2022
75322^338071+165249101770Stefano Morozzi06/2022
75332^338070+70359101770Stefano Morozzi11/2022
75342^338071+98573101770Stefano Morozzi11/2022
75352^338069+79365101769Stefano Morozzi01/2022
75362^338069+107571101769Stefano Morozzi02/2022
75372^338068+73035101769Stefano Morozzi11/2022
75382^338064+100087101768Stefano Morozzi11/2021
75392^338064-83793101768Stefano Morozzi04/2022
75402^338064+193701101768Stefano Morozzi09/2022
75412^338060-151047101767Stefano Morozzi12/2021
75422^338060-130805101767Stefano Morozzi02/2022
75432^338060-136593101767Stefano Morozzi12/2022
75442^338062-15725101767Stefano Morozzi01/2023
75452^338058-76415101766Stefano Morozzi12/2021
75462^338057+83865101766Stefano Morozzi03/2022
75472^338057+86997101766Stefano Morozzi04/2022
75482^338058+188589101766Stefano Morozzi05/2022
75492^338058+68089101766Stefano Morozzi09/2022
75502^338059+121803101766Stefano Morozzi11/2022
75512^338057-39021101766Stefano Morozzi01/2023
75522^338056+50605101765Stefano Morozzi11/2021
75532^338053+53231101765Stefano Morozzi01/2022
75542^338054-180497101765Stefano Morozzi02/2022
75552^338053+59891101765Stefano Morozzi03/2022
75562^338056+33987101765Stefano Morozzi03/2022
75572^338055-157779101765Stefano Morozzi03/2022
75582^338056+90307101765Stefano Morozzi06/2022
75592^338052-55373101764Stefano Morozzi02/2022
75602^338050-138281101764Stefano Morozzi12/2022
75612^338048+31185101763Stefano Morozzi01/2022
75622^338047+31935101763Stefano Morozzi02/2022
75632^338047+108011101763Stefano Morozzi02/2022
75642^338049+56777101763Stefano Morozzi02/2022
75652^338049-7531101763Stefano Morozzi03/2022
75662^338048-304019101763Harrison Mesh06/2022
75672^338049+191291101763Stefano Morozzi06/2022
75682^338047-187699101763Stefano Morozzi12/2022
75692^338047-66405101763Stefano Morozzi01/2023
75702^338046-25841101762Stefano Morozzi12/2021
75712^338046-2285101762Stefano Morozzi12/2021
75722^338046-177851101762Stefano Morozzi01/2022
75732^338043+84045101762Stefano Morozzi03/2022
75742^338046-57573101762Stefano Morozzi03/2022
75752^338044-8177101762Stefano Morozzi04/2022
75762^338045-58443101762Stefano Morozzi04/2022
75772^338044+193497101762Stefano Morozzi09/2022
75782^338043+45701101762Stefano Morozzi11/2022
75792^338044-114197101762Stefano Morozzi01/2023
75802^338042+194973101761Stefano Morozzi11/2022
75812^338040-164483101761Stefano Morozzi01/2023
75822^338038-57887101760Stefano Morozzi04/2022
75832^338037+139169101760Stefano Morozzi05/2022
75842^338037+188595101760Stefano Morozzi05/2022
75852^338038-187241101760Stefano Morozzi12/2022
75862^338034+125653101759Stefano Morozzi11/2021
75872^338034-25211101759Stefano Morozzi12/2021
75882^338033-154099101759Stefano Morozzi02/2022
75892^338034-31803101759Stefano Morozzi03/2022
75902^338033+162311101759Stefano Morozzi04/2022
75912^338033-83071101759Stefano Morozzi04/2022
75922^338035-158095101759Stefano Morozzi04/2022
75932^338036-34193101759Stefano Morozzi04/2022
75942^338036+42873101759Stefano Morozzi09/2022
75952^338036+93373101759Stefano Morozzi09/2022
75962^338035+146129101759Stefano Morozzi11/2022
75972^338036+23983101759Stefano Morozzi11/2022
75982^338036+170433101759Stefano Morozzi11/2022
75992^338031+79989101758Stefano Morozzi01/2022
76002^338032+158073101758Stefano Morozzi02/2022
76012^338030-54371101758Stefano Morozzi02/2022
76022^338032-180747101758Stefano Morozzi02/2022
76032^338029-27909101757Stefano Morozzi01/2022
76042^338027+70475101757Stefano Morozzi11/2022
76052^338028-38705101757Stefano Morozzi12/2022
76062^338028-140459101757Stefano Morozzi01/2023
76072^338024-128495101756Stefano Morozzi01/2022
76082^338025+34785101756Stefano Morozzi03/2022
76092^338025-181765101756Stefano Morozzi03/2022
76102^338024+63765101756Stefano Morozzi05/2022
76112^338023-160621101756Stefano Morozzi06/2022
76122^338026+117553101756Stefano Morozzi09/2022
76132^338020-52437101755Stefano Morozzi12/2021
76142^338021+160241101755Stefano Morozzi03/2022
76152^338022+185845101755Stefano Morozzi03/2022
76162^338021+189587101755Stefano Morozzi05/2022
76172^338021-85891101755Stefano Morozzi06/2022
76182^338020-87797101755Stefano Morozzi12/2022
76192^338018-102741101754Stefano Morozzi01/2022
76202^338018+29937101754Stefano Morozzi01/2022
76212^338017-29505101754Stefano Morozzi02/2022
76222^338018-30873101754Stefano Morozzi02/2022
76232^338018-157013101754Stefano Morozzi03/2022
76242^338019+168929101754Stefano Morozzi09/2022
76252^338017+172721101754Stefano Morozzi11/2022
76262^338018-136131101754Stefano Morozzi12/2022
76272^338016+50797101753Stefano Morozzi11/2021
76282^338016+26707101753Stefano Morozzi12/2021
76292^338014+104677101753Stefano Morozzi01/2022
76302^338013+145091101753Stefano Morozzi11/2022
76312^338016-16335101753Stefano Morozzi01/2023
76342^338010-19833101752Enzo Doria06/2013
76322^338011+28665101752Stefano Morozzi01/2022
76332^338010+89505101752Stefano Morozzi05/2022
76352^338007+58985101751Stefano Morozzi03/2022
76362^338008+109741101751Stefano Morozzi03/2022
76372^338009+9527101751Stefano Morozzi03/2022
76382^338007+14511101751Stefano Morozzi05/2022
76392^338008+67957101751Stefano Morozzi09/2022
76402^338009-11935101751Stefano Morozzi12/2022
76412^338007-14199101751Stefano Morozzi01/2023
76422^338005-75829101750Stefano Morozzi12/2021
76432^338006-125055101750Stefano Morozzi12/2021
76442^338006+5013101750Stefano Morozzi01/2022
76452^338003+40269101750Stefano Morozzi06/2022
76462^338006+166495101750Stefano Morozzi06/2022
76472^338003-188551101750Stefano Morozzi12/2022
76482^338000+25113101749Stefano Morozzi12/2021
76503^213215-76101730Lelio R Paula09/2016
764923907^17998+17998^23907101730Hans Havermann01/2019
765110^101728+154953101729Patrick De Geest02/2020
76542^337930+63101728Lelio R Paula07/2011
765210^101728-987654321101728Robert Price12/2019
765310^101728-60741101728Patrick De Geest02/2020
76552^337920+1869661101725Enzo Doria05/2016
76562^337922+100280245065101725Paul Bourdelais10/2021
765724116^16509+16509^24116101715Hans Havermann01/2019
7658(2^337875+3174)/2101711Stefano Morozzi09/2020
76592^337859-19645101706Enzo Doria05/2013
76602^337754+1869169101675Enzo Doria05/2016
76613*10^101657-37101658Robert Price07/2018
7662(31*2^337677-1)/593101650Lelio R Paula03/2014
766311^97605-24101646Lelio R Paula10/2016
7664(83*10^101636+133)/9101637Robert Price08/2021
7665(2^337624+3606)/2101635Stefano Morozzi09/2020
76668^112539-112539101633Robert Price01/2014
7667(2^337575+1818)/2101620Stefano Morozzi02/2021
7668(11*10^101613+61)/9101614Tyler Busby01/2023
766925694^9003+9003^25694101605Hans Havermann12/2018
76702^337515-19869101603Enzo Doria06/2013
76712^337473+719101590Lelio R Paula08/2011
7672(2^337485-509203)/656647157101585Lelio R Paula12/2013
76732^337452-108815101584Enzo Doria03/2014
76742^337453+1185101584Lelio R Paula09/2016
7675(41*10^101583+319)/9101584Robert Price06/2021
76762^337410-113561101571Enzo Doria08/2014
76772^337387+855101564Lelio R Paula09/2016
76782^337367-17295101558Lelio R Paula09/2016
76792^337342-109035101551Enzo Doria04/2014
768023703^19238+19238^23703101548Hans Havermann12/2018
7681(26*10^101537-167)/3101538Robert Price10/2019
76822^337267-19101528Lelio R Paula07/2011
7683(2^337259+1766)/2101525Stefano Morozzi09/2020
7684(2^337257+2306)/2101525Stefano Morozzi02/2021
76852^337222-340871101514Harrison Mesh06/2022
7686(2^337195+2646)/2101506Stefano Morozzi09/2020
76872^337183-19989101503Enzo Doria06/2013
76882^337149+72425101492Enzo Doria04/2016
768924041^16642+16642^24041101483Hans Havermann12/2018
769033982^969+969^33982101482Hans Havermann12/2018
76912^337101-20241101478Enzo Doria06/2013
76922^337035-20001101458Enzo Doria06/2013
7693(7*10^101456+89)/3101457Robert Price08/2020
76942^337017-16995101453Lelio R Paula09/2016
7695(8677^25759-1)/8676101445Serge Batalov06/2022
76962^336979-115315101441Enzo Doria06/2015
76972^336970-20885101439Enzo Doria06/2013
76982^336958+79101435Lelio R Paula10/2009
7699(1589^31687-1)/1588101431Serge Batalov06/2022
77002^336942+169101430Lelio R Paula10/2009
7701(15185*2^336894-1)/7939101416Lelio R Paula05/2015
77024*10^101415-89101416Robert Price11/2018
7703(14*10^101410-89)/3101411Robert Price05/2020
77042^336871+257463101409Tony Prest / Never Odd Or Even04/2016
77052^336871+318105101409Tony Prest / Never Odd Or Even04/2016
77062^336871+1010813101409Tony Prest / Never Odd Or Even04/2016
77072^336871+2302245101409Tony Prest / Never Odd Or Even04/2016
77082^336871+389273101409Tony Prest / Never Odd Or Even04/2016
77092^336871+1685475101409Tony Prest / Never Odd Or Even04/2016
77102^336871+1068119101409Tony Prest / Never Odd Or Even04/2016
77112^336871+586905101409Tony Prest / Never Odd Or Even04/2016
77122^336871+674571101409Tony Prest / Never Odd Or Even04/2016
77132^336871+707009101409Tony Prest / Never Odd Or Even04/2016
77142^336871+1210299101409Tony Prest / Never Odd Or Even04/2016
77152^336871+1921185101409Tony Prest / Never Odd Or Even04/2016
77162^336871+2003973101409Tony Prest / Never Odd Or Even04/2016
77172^336871+2656475101409Tony Prest / Never Odd Or Even04/2016
77182^336871+2703023101409Tony Prest / Never Odd Or Even04/2016
77192^336871+2704545101409Tony Prest / Never Odd Or Even04/2016
77202^336871+2766801101409Tony Prest / Never Odd Or Even04/2016
77212^336871+2127735101409Tony Prest / Never Odd Or Even04/2016
7722(2^336871+821089)/3101408Tony Prest / Never Odd Or Even05/2016
7723(2^336871+119567)/5101408Tony Prest / Never Odd Or Even05/2016
7724(2^336871+398161)/3101408Tony Prest / Never Odd Or Even05/2016
7725(2^336871+625889)/7101408Tony Prest / Never Odd Or Even05/2016
772624097^16150+16150^24097101405Hans Havermann12/2018
77272^336842+94065101400Lelio R Paula09/2016
7728(7*10^101395-1)/3101396Robert Price08/2022
7729(2^336871+904417)/3/3/3/5/19/9287177/9690011663/29993043103101378Tony Prest / Never Odd Or Even04/2016
7730(2^336871+631971)/13/251/1601/294277/614362921/30324278867101377Tony Prest / Never Odd Or Even04/2016
7731(2^336871+1443541)/3/89/1655197/11018131/47972707/468862691879101374Tony Prest / Never Odd Or Even04/2016
7732(2^336871+689863)/3/11/109/137/1867/7151/20800501/29243857/127778489101373Tony Prest / Never Odd Or Even04/2016
7733(2^336871+219839)/191/643/3011/9479/117127/175750007/4578271757101373Tony Prest / Never Odd Or Even04/2016
7734(2^336871+272895)/19/661/977572033/95853078653/520779768241101373Tony Prest / Never Odd Or Even04/2016
7735(2^336871+1023429)/2311/415873/991889/3630648341/207732189179101373Tony Prest / Never Odd Or Even04/2016
773610^101369+203811101370Patrick De Geest11/2016
773710^101369-99101369Lelio R Paula09/2016
7738(2^336871+1832627)/5/5/23/181/4397/91373/3746673331/115602484097/279351383917101363Tony Prest / Never Odd Or Even04/2016
77392^336701-113563101358Enzo Doria08/2014
774089717!4-512101351Robert Price11/2019
77412^336644-109023101340Enzo Doria04/2014
77422^336601-21081101327Enzo Doria06/2013
774320^77869+63101310Lelio R Paula09/2016
7744(13*2^336523-1)/19101304Lelio R Paula03/2014
77466^130179-137101299Lelio R Paula10/2016
7745(2^336506+lucasV(1,2,336506)+1)/2101299Mike Oakes11/2016
7747(24737*2^336485+1)/7285101293Lelio R Paula07/2014
7748(2^336448+9)/497405101276Lelio R Paula12/2013
77492^336369-19753101258Enzo Doria05/2013
775023842^17653+17653^23842101253Hans Havermann11/2018


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: February, 02 2023 13:22 (Time in France)

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