PRP Records

Probable Primes Top 10000

(294627 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 ?
85012^338080+107521101773Stefano Morozzi02/2022
85022^338080-156917101773Stefano Morozzi03/2022
85032^338081+199775101773Stefano Morozzi02/2023
85042^338076+62311101772Stefano Morozzi04/2022
85052^338079+161745101772Stefano Morozzi04/2022
85062^338078-60075101772Stefano Morozzi06/2022
85072^338079+167079101772Stefano Morozzi09/2022
85082^338076+122535101772Stefano Morozzi11/2022
85092^338077+95619101772Stefano Morozzi11/2022
85102^338078+20539101772Stefano Morozzi11/2022
85112^338076-36813101772Stefano Morozzi12/2022
85122^338078-64911101772Stefano Morozzi01/2023
85132^338073-77971101771Stefano Morozzi01/2022
85142^338074+55579101771Stefano Morozzi01/2022
85152^338073-81813101771Stefano Morozzi03/2022
85162^338073+138645101771Stefano Morozzi05/2022
85172^338075+148043101771Stefano Morozzi11/2022
85182^338070-152607101770Stefano Morozzi01/2022
85192^338070+138787101770Stefano Morozzi05/2022
85202^338071+165249101770Stefano Morozzi06/2022
85212^338070+70359101770Stefano Morozzi11/2022
85222^338071+98573101770Stefano Morozzi11/2022
85232^338069+79365101769Stefano Morozzi01/2022
85242^338069+107571101769Stefano Morozzi02/2022
85252^338068+73035101769Stefano Morozzi11/2022
85262^338064+100087101768Stefano Morozzi11/2021
85272^338064-83793101768Stefano Morozzi04/2022
85282^338064+193701101768Stefano Morozzi09/2022
85292^338065+199947101768Stefano Morozzi02/2023
85302^338060-151047101767Stefano Morozzi12/2021
85312^338060-130805101767Stefano Morozzi02/2022
85322^338060-136593101767Stefano Morozzi12/2022
85332^338062-15725101767Stefano Morozzi01/2023
85342^338058-76415101766Stefano Morozzi12/2021
85352^338057+83865101766Stefano Morozzi03/2022
85362^338057+86997101766Stefano Morozzi04/2022
85372^338058+188589101766Stefano Morozzi05/2022
85382^338058+68089101766Stefano Morozzi09/2022
85392^338059+121803101766Stefano Morozzi11/2022
85402^338057-39021101766Stefano Morozzi01/2023
85412^338056+50605101765Stefano Morozzi11/2021
85422^338053+53231101765Stefano Morozzi01/2022
85432^338054-180497101765Stefano Morozzi02/2022
85442^338053+59891101765Stefano Morozzi03/2022
85452^338056+33987101765Stefano Morozzi03/2022
85462^338055-157779101765Stefano Morozzi03/2022
85472^338056+90307101765Stefano Morozzi06/2022
85482^338055+124443101765Stefano Morozzi02/2023
85492^338052-55373101764Stefano Morozzi02/2022
85502^338050-138281101764Stefano Morozzi12/2022
85512^338050+148959101764Stefano Morozzi02/2023
85522^338051-118159101764Stefano Morozzi02/2023
85532^338048+31185101763Stefano Morozzi01/2022
85542^338047+31935101763Stefano Morozzi02/2022
85552^338047+108011101763Stefano Morozzi02/2022
85562^338049+56777101763Stefano Morozzi02/2022
85572^338049-7531101763Stefano Morozzi03/2022
85582^338048-304019101763Harrison Mesh06/2022
85592^338049+191291101763Stefano Morozzi06/2022
85602^338047-187699101763Stefano Morozzi12/2022
85612^338047-66405101763Stefano Morozzi01/2023
85622^338049-192633101763Stefano Morozzi02/2023
85632^338046-25841101762Stefano Morozzi12/2021
85642^338046-2285101762Stefano Morozzi12/2021
85652^338046-177851101762Stefano Morozzi01/2022
85662^338043+84045101762Stefano Morozzi03/2022
85672^338046-57573101762Stefano Morozzi03/2022
85682^338044-8177101762Stefano Morozzi04/2022
85692^338045-58443101762Stefano Morozzi04/2022
85702^338044+193497101762Stefano Morozzi09/2022
85712^338043+45701101762Stefano Morozzi11/2022
85722^338044-114197101762Stefano Morozzi01/2023
85732^338042+194973101761Stefano Morozzi11/2022
85742^338040-164483101761Stefano Morozzi01/2023
85752^338038-57887101760Stefano Morozzi04/2022
85762^338037+139169101760Stefano Morozzi05/2022
85772^338037+188595101760Stefano Morozzi05/2022
85782^338038-187241101760Stefano Morozzi12/2022
85792^338039+124035101760Stefano Morozzi02/2023
85802^338037-42523101760Stefano Morozzi02/2023
85812^338034+125653101759Stefano Morozzi11/2021
85822^338034-25211101759Stefano Morozzi12/2021
85832^338033-154099101759Stefano Morozzi02/2022
85842^338034-31803101759Stefano Morozzi03/2022
85852^338033+162311101759Stefano Morozzi04/2022
85862^338033-83071101759Stefano Morozzi04/2022
85872^338035-158095101759Stefano Morozzi04/2022
85882^338036-34193101759Stefano Morozzi04/2022
85892^338036+42873101759Stefano Morozzi09/2022
85902^338036+93373101759Stefano Morozzi09/2022
85912^338035+146129101759Stefano Morozzi11/2022
85922^338036+23983101759Stefano Morozzi11/2022
85932^338036+170433101759Stefano Morozzi11/2022
85942^338031+79989101758Stefano Morozzi01/2022
85952^338032+158073101758Stefano Morozzi02/2022
85962^338030-54371101758Stefano Morozzi02/2022
85972^338032-180747101758Stefano Morozzi02/2022
85982^338029-27909101757Stefano Morozzi01/2022
85992^338027+70475101757Stefano Morozzi11/2022
86002^338028-38705101757Stefano Morozzi12/2022
86012^338028-140459101757Stefano Morozzi01/2023
86022^338024-128495101756Stefano Morozzi01/2022
86032^338025+34785101756Stefano Morozzi03/2022
86042^338025-181765101756Stefano Morozzi03/2022
86052^338024+63765101756Stefano Morozzi05/2022
86062^338023-160621101756Stefano Morozzi06/2022
86072^338026+117553101756Stefano Morozzi09/2022
86082^338020-52437101755Stefano Morozzi12/2021
86092^338021+160241101755Stefano Morozzi03/2022
86102^338022+185845101755Stefano Morozzi03/2022
86112^338021+189587101755Stefano Morozzi05/2022
86122^338021-85891101755Stefano Morozzi06/2022
86132^338020-87797101755Stefano Morozzi12/2022
86142^338018-102741101754Stefano Morozzi01/2022
86152^338018+29937101754Stefano Morozzi01/2022
86162^338017-29505101754Stefano Morozzi02/2022
86172^338018-30873101754Stefano Morozzi02/2022
86182^338018-157013101754Stefano Morozzi03/2022
86192^338019+168929101754Stefano Morozzi09/2022
86202^338017+172721101754Stefano Morozzi11/2022
86212^338018-136131101754Stefano Morozzi12/2022
86222^338016+50797101753Stefano Morozzi11/2021
86232^338016+26707101753Stefano Morozzi12/2021
86242^338014+104677101753Stefano Morozzi01/2022
86252^338013+145091101753Stefano Morozzi11/2022
86262^338016-16335101753Stefano Morozzi01/2023
86292^338010-19833101752Enzo Doria06/2013
86272^338011+28665101752Stefano Morozzi01/2022
86282^338010+89505101752Stefano Morozzi05/2022
86302^338007+58985101751Stefano Morozzi03/2022
86312^338008+109741101751Stefano Morozzi03/2022
86322^338009+9527101751Stefano Morozzi03/2022
86332^338007+14511101751Stefano Morozzi05/2022
86342^338008+67957101751Stefano Morozzi09/2022
86352^338009-11935101751Stefano Morozzi12/2022
86362^338007-14199101751Stefano Morozzi01/2023
86372^338005-75829101750Stefano Morozzi12/2021
86382^338006-125055101750Stefano Morozzi12/2021
86392^338006+5013101750Stefano Morozzi01/2022
86402^338003+40269101750Stefano Morozzi06/2022
86412^338006+166495101750Stefano Morozzi06/2022
86422^338003-188551101750Stefano Morozzi12/2022
86432^338006-118041101750Stefano Morozzi02/2023
86442^338000+25113101749Stefano Morozzi12/2021
86463^213215-76101730Lelio R Paula09/2016
864523907^17998+17998^23907101730Hans Havermann01/2019
864710^101728+154953101729Patrick De Geest02/2020
86502^337930+63101728Lelio R Paula07/2011
864810^101728-987654321101728Robert Price12/2019
864910^101728-60741101728Patrick De Geest02/2020
86512^337920+1869661101725Enzo Doria05/2016
86522^337922+100280245065101725Paul Bourdelais10/2021
865324116^16509+16509^24116101715Hans Havermann01/2019
8654(2^337875+3174)/2101711Stefano Morozzi09/2020
86552^337859-19645101706Enzo Doria05/2013
86562^337754+1869169101675Enzo Doria05/2016
8657(7*10^(2*50830+1)-9*10^50830-7)/9101661Robert Price10/2023
86583*10^101657-37101658Robert Price07/2018
8659(31*2^337677-1)/593101650Lelio R Paula03/2014
866011^97605-24101646Lelio R Paula10/2016
8661(83*10^101636+133)/9101637Robert Price08/2021
8662(2^337624+3606)/2101635Stefano Morozzi09/2020
86638^112539-112539101633Robert Price01/2014
8664(2^337575+1818)/2101620Stefano Morozzi02/2021
8665(11*10^101613+61)/9101614Tyler Busby01/2023
866625694^9003+9003^25694101605Hans Havermann12/2018
86672^337515-19869101603Enzo Doria06/2013
86682^337473+719101590Lelio R Paula08/2011
8669(2^337485-509203)/656647157101585Lelio R Paula12/2013
86702^337452-108815101584Enzo Doria03/2014
86712^337453+1185101584Lelio R Paula09/2016
8672(41*10^101583+319)/9101584Robert Price06/2021
86732^337410-113561101571Enzo Doria08/2014
86742^337387+855101564Lelio R Paula09/2016
86752^337367-17295101558Lelio R Paula09/2016
86762^337342-109035101551Enzo Doria04/2014
867723703^19238+19238^23703101548Hans Havermann12/2018
8678(26*10^101537-167)/3101538Robert Price10/2019
86792^337267-19101528Lelio R Paula07/2011
8680(2^337259+1766)/2101525Stefano Morozzi09/2020
8681(2^337257+2306)/2101525Stefano Morozzi02/2021
86822^337222-340871101514Harrison Mesh06/2022
8683(2^337195+2646)/2101506Stefano Morozzi09/2020
86842^337183-19989101503Enzo Doria06/2013
86852^337149+72425101492Enzo Doria04/2016
868624041^16642+16642^24041101483Hans Havermann12/2018
868733982^969+969^33982101482Hans Havermann12/2018
86882^337101-20241101478Enzo Doria06/2013
86892^337035-20001101458Enzo Doria06/2013
8690(7*10^101456+89)/3101457Robert Price08/2020
86912^337017-16995101453Lelio R Paula09/2016
8692(347^40448+1)/(347^512+1)101451Martin Hopf12/2023
8693(8677^25759-1)/8676101445Serge Batalov06/2022
86942^336979-115315101441Enzo Doria06/2015
86952^336970-20885101439Enzo Doria06/2013
86962^336958+79101435Lelio R Paula10/2009
8697(1589^31687-1)/1588101431Serge Batalov06/2022
86982^336942+169101430Lelio R Paula10/2009
8699(193929^19321-1)/(193929^139-1)101428Ryan Propper11/2023
8700(15185*2^336894-1)/7939101416Lelio R Paula05/2015
87014*10^101415-89101416Robert Price11/2018
8702(14*10^101410-89)/3101411Robert Price05/2020
87032^336871+257463101409Tony Prest / Never Odd Or Even04/2016
87042^336871+318105101409Tony Prest / Never Odd Or Even04/2016
87052^336871+1010813101409Tony Prest / Never Odd Or Even04/2016
87062^336871+2302245101409Tony Prest / Never Odd Or Even04/2016
87072^336871+389273101409Tony Prest / Never Odd Or Even04/2016
87082^336871+1685475101409Tony Prest / Never Odd Or Even04/2016
87092^336871+1068119101409Tony Prest / Never Odd Or Even04/2016
87102^336871+586905101409Tony Prest / Never Odd Or Even04/2016
87112^336871+674571101409Tony Prest / Never Odd Or Even04/2016
87122^336871+707009101409Tony Prest / Never Odd Or Even04/2016
87132^336871+1210299101409Tony Prest / Never Odd Or Even04/2016
87142^336871+1921185101409Tony Prest / Never Odd Or Even04/2016
87152^336871+2003973101409Tony Prest / Never Odd Or Even04/2016
87162^336871+2656475101409Tony Prest / Never Odd Or Even04/2016
87172^336871+2703023101409Tony Prest / Never Odd Or Even04/2016
87182^336871+2704545101409Tony Prest / Never Odd Or Even04/2016
87192^336871+2766801101409Tony Prest / Never Odd Or Even04/2016
87202^336871+2127735101409Tony Prest / Never Odd Or Even04/2016
8721(2^336871+821089)/3101408Tony Prest / Never Odd Or Even05/2016
8722(2^336871+119567)/5101408Tony Prest / Never Odd Or Even05/2016
8723(2^336871+398161)/3101408Tony Prest / Never Odd Or Even05/2016
8724(2^336871+625889)/7101408Tony Prest / Never Odd Or Even05/2016
872524097^16150+16150^24097101405Hans Havermann12/2018
87262^336842+94065101400Lelio R Paula09/2016
8727(7*10^101395-1)/3101396Robert Price08/2022
8728(2^336871+904417)/3/3/3/5/19/9287177/9690011663/29993043103101378Tony Prest / Never Odd Or Even04/2016
8729(2^336871+631971)/13/251/1601/294277/614362921/30324278867101377Tony Prest / Never Odd Or Even04/2016
8730(2^336871+1443541)/3/89/1655197/11018131/47972707/468862691879101374Tony Prest / Never Odd Or Even04/2016
8731(2^336871+689863)/3/11/109/137/1867/7151/20800501/29243857/127778489101373Tony Prest / Never Odd Or Even04/2016
8732(2^336871+219839)/191/643/3011/9479/117127/175750007/4578271757101373Tony Prest / Never Odd Or Even04/2016
8733(2^336871+272895)/19/661/977572033/95853078653/520779768241101373Tony Prest / Never Odd Or Even04/2016
8734(2^336871+1023429)/2311/415873/991889/3630648341/207732189179101373Tony Prest / Never Odd Or Even04/2016
873510^101369+203811101370Patrick De Geest11/2016
873610^101369-99101369Lelio R Paula09/2016
8737(2^336871+1832627)/5/5/23/181/4397/91373/3746673331/115602484097/279351383917101363Tony Prest / Never Odd Or Even04/2016
87382^336701-113563101358Enzo Doria08/2014
873989717!4-512101351Robert Price11/2019
87402^336644-109023101340Enzo Doria04/2014
87412^336601-21081101327Enzo Doria06/2013
8742(4*34^66153+227)/33101312Eric Chen03/2023
874320^77869+63101310Lelio R Paula09/2016
8744(13*2^336523-1)/19101304Lelio R Paula03/2014
87466^130179-137101299Lelio R Paula10/2016
8745(2^336506+lucasV(1,2,336506)+1)/2101299Mike Oakes11/2016
8747(24737*2^336485+1)/7285101293Lelio R Paula07/2014
8748(2^336448+9)/497405101276Lelio R Paula12/2013
87492^336369-19753101258Enzo Doria05/2013
875023842^17653+17653^23842101253Hans Havermann11/2018


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: March, 12 2024 13:37 (Time in France)

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