PRP Records

Probable Primes Top 10000

(293510 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 ?
80012^338073-77971101771Stefano Morozzi01/2022
80022^338074+55579101771Stefano Morozzi01/2022
80032^338073-81813101771Stefano Morozzi03/2022
80042^338073+138645101771Stefano Morozzi05/2022
80052^338075+148043101771Stefano Morozzi11/2022
80062^338070-152607101770Stefano Morozzi01/2022
80072^338070+138787101770Stefano Morozzi05/2022
80082^338071+165249101770Stefano Morozzi06/2022
80092^338070+70359101770Stefano Morozzi11/2022
80102^338071+98573101770Stefano Morozzi11/2022
80112^338069+79365101769Stefano Morozzi01/2022
80122^338069+107571101769Stefano Morozzi02/2022
80132^338068+73035101769Stefano Morozzi11/2022
80142^338064+100087101768Stefano Morozzi11/2021
80152^338064-83793101768Stefano Morozzi04/2022
80162^338064+193701101768Stefano Morozzi09/2022
80172^338065+199947101768Stefano Morozzi02/2023
80182^338060-151047101767Stefano Morozzi12/2021
80192^338060-130805101767Stefano Morozzi02/2022
80202^338060-136593101767Stefano Morozzi12/2022
80212^338062-15725101767Stefano Morozzi01/2023
80222^338058-76415101766Stefano Morozzi12/2021
80232^338057+83865101766Stefano Morozzi03/2022
80242^338057+86997101766Stefano Morozzi04/2022
80252^338058+188589101766Stefano Morozzi05/2022
80262^338058+68089101766Stefano Morozzi09/2022
80272^338059+121803101766Stefano Morozzi11/2022
80282^338057-39021101766Stefano Morozzi01/2023
80292^338056+50605101765Stefano Morozzi11/2021
80302^338053+53231101765Stefano Morozzi01/2022
80312^338054-180497101765Stefano Morozzi02/2022
80322^338053+59891101765Stefano Morozzi03/2022
80332^338056+33987101765Stefano Morozzi03/2022
80342^338055-157779101765Stefano Morozzi03/2022
80352^338056+90307101765Stefano Morozzi06/2022
80362^338055+124443101765Stefano Morozzi02/2023
80372^338052-55373101764Stefano Morozzi02/2022
80382^338050-138281101764Stefano Morozzi12/2022
80392^338050+148959101764Stefano Morozzi02/2023
80402^338051-118159101764Stefano Morozzi02/2023
80412^338048+31185101763Stefano Morozzi01/2022
80422^338047+31935101763Stefano Morozzi02/2022
80432^338047+108011101763Stefano Morozzi02/2022
80442^338049+56777101763Stefano Morozzi02/2022
80452^338049-7531101763Stefano Morozzi03/2022
80462^338048-304019101763Harrison Mesh06/2022
80472^338049+191291101763Stefano Morozzi06/2022
80482^338047-187699101763Stefano Morozzi12/2022
80492^338047-66405101763Stefano Morozzi01/2023
80502^338049-192633101763Stefano Morozzi02/2023
80512^338046-25841101762Stefano Morozzi12/2021
80522^338046-2285101762Stefano Morozzi12/2021
80532^338046-177851101762Stefano Morozzi01/2022
80542^338043+84045101762Stefano Morozzi03/2022
80552^338046-57573101762Stefano Morozzi03/2022
80562^338044-8177101762Stefano Morozzi04/2022
80572^338045-58443101762Stefano Morozzi04/2022
80582^338044+193497101762Stefano Morozzi09/2022
80592^338043+45701101762Stefano Morozzi11/2022
80602^338044-114197101762Stefano Morozzi01/2023
80612^338042+194973101761Stefano Morozzi11/2022
80622^338040-164483101761Stefano Morozzi01/2023
80632^338038-57887101760Stefano Morozzi04/2022
80642^338037+139169101760Stefano Morozzi05/2022
80652^338037+188595101760Stefano Morozzi05/2022
80662^338038-187241101760Stefano Morozzi12/2022
80672^338039+124035101760Stefano Morozzi02/2023
80682^338037-42523101760Stefano Morozzi02/2023
80692^338034+125653101759Stefano Morozzi11/2021
80702^338034-25211101759Stefano Morozzi12/2021
80712^338033-154099101759Stefano Morozzi02/2022
80722^338034-31803101759Stefano Morozzi03/2022
80732^338033+162311101759Stefano Morozzi04/2022
80742^338033-83071101759Stefano Morozzi04/2022
80752^338035-158095101759Stefano Morozzi04/2022
80762^338036-34193101759Stefano Morozzi04/2022
80772^338036+42873101759Stefano Morozzi09/2022
80782^338036+93373101759Stefano Morozzi09/2022
80792^338035+146129101759Stefano Morozzi11/2022
80802^338036+23983101759Stefano Morozzi11/2022
80812^338036+170433101759Stefano Morozzi11/2022
80822^338031+79989101758Stefano Morozzi01/2022
80832^338032+158073101758Stefano Morozzi02/2022
80842^338030-54371101758Stefano Morozzi02/2022
80852^338032-180747101758Stefano Morozzi02/2022
80862^338029-27909101757Stefano Morozzi01/2022
80872^338027+70475101757Stefano Morozzi11/2022
80882^338028-38705101757Stefano Morozzi12/2022
80892^338028-140459101757Stefano Morozzi01/2023
80902^338024-128495101756Stefano Morozzi01/2022
80912^338025+34785101756Stefano Morozzi03/2022
80922^338025-181765101756Stefano Morozzi03/2022
80932^338024+63765101756Stefano Morozzi05/2022
80942^338023-160621101756Stefano Morozzi06/2022
80952^338026+117553101756Stefano Morozzi09/2022
80962^338020-52437101755Stefano Morozzi12/2021
80972^338021+160241101755Stefano Morozzi03/2022
80982^338022+185845101755Stefano Morozzi03/2022
80992^338021+189587101755Stefano Morozzi05/2022
81002^338021-85891101755Stefano Morozzi06/2022
81012^338020-87797101755Stefano Morozzi12/2022
81022^338018-102741101754Stefano Morozzi01/2022
81032^338018+29937101754Stefano Morozzi01/2022
81042^338017-29505101754Stefano Morozzi02/2022
81052^338018-30873101754Stefano Morozzi02/2022
81062^338018-157013101754Stefano Morozzi03/2022
81072^338019+168929101754Stefano Morozzi09/2022
81082^338017+172721101754Stefano Morozzi11/2022
81092^338018-136131101754Stefano Morozzi12/2022
81102^338016+50797101753Stefano Morozzi11/2021
81112^338016+26707101753Stefano Morozzi12/2021
81122^338014+104677101753Stefano Morozzi01/2022
81132^338013+145091101753Stefano Morozzi11/2022
81142^338016-16335101753Stefano Morozzi01/2023
81172^338010-19833101752Enzo Doria06/2013
81152^338011+28665101752Stefano Morozzi01/2022
81162^338010+89505101752Stefano Morozzi05/2022
81182^338007+58985101751Stefano Morozzi03/2022
81192^338008+109741101751Stefano Morozzi03/2022
81202^338009+9527101751Stefano Morozzi03/2022
81212^338007+14511101751Stefano Morozzi05/2022
81222^338008+67957101751Stefano Morozzi09/2022
81232^338009-11935101751Stefano Morozzi12/2022
81242^338007-14199101751Stefano Morozzi01/2023
81252^338005-75829101750Stefano Morozzi12/2021
81262^338006-125055101750Stefano Morozzi12/2021
81272^338006+5013101750Stefano Morozzi01/2022
81282^338003+40269101750Stefano Morozzi06/2022
81292^338006+166495101750Stefano Morozzi06/2022
81302^338003-188551101750Stefano Morozzi12/2022
81312^338006-118041101750Stefano Morozzi02/2023
81322^338000+25113101749Stefano Morozzi12/2021
81343^213215-76101730Lelio R Paula09/2016
813323907^17998+17998^23907101730Hans Havermann01/2019
813510^101728+154953101729Patrick De Geest02/2020
81382^337930+63101728Lelio R Paula07/2011
813610^101728-987654321101728Robert Price12/2019
813710^101728-60741101728Patrick De Geest02/2020
81392^337920+1869661101725Enzo Doria05/2016
81402^337922+100280245065101725Paul Bourdelais10/2021
814124116^16509+16509^24116101715Hans Havermann01/2019
8142(2^337875+3174)/2101711Stefano Morozzi09/2020
81432^337859-19645101706Enzo Doria05/2013
81442^337754+1869169101675Enzo Doria05/2016
81453*10^101657-37101658Robert Price07/2018
8146(31*2^337677-1)/593101650Lelio R Paula03/2014
814711^97605-24101646Lelio R Paula10/2016
8148(83*10^101636+133)/9101637Robert Price08/2021
8149(2^337624+3606)/2101635Stefano Morozzi09/2020
81508^112539-112539101633Robert Price01/2014
8151(2^337575+1818)/2101620Stefano Morozzi02/2021
8152(11*10^101613+61)/9101614Tyler Busby01/2023
815325694^9003+9003^25694101605Hans Havermann12/2018
81542^337515-19869101603Enzo Doria06/2013
81552^337473+719101590Lelio R Paula08/2011
8156(2^337485-509203)/656647157101585Lelio R Paula12/2013
81572^337452-108815101584Enzo Doria03/2014
81582^337453+1185101584Lelio R Paula09/2016
8159(41*10^101583+319)/9101584Robert Price06/2021
81602^337410-113561101571Enzo Doria08/2014
81612^337387+855101564Lelio R Paula09/2016
81622^337367-17295101558Lelio R Paula09/2016
81632^337342-109035101551Enzo Doria04/2014
816423703^19238+19238^23703101548Hans Havermann12/2018
8165(26*10^101537-167)/3101538Robert Price10/2019
81662^337267-19101528Lelio R Paula07/2011
8167(2^337259+1766)/2101525Stefano Morozzi09/2020
8168(2^337257+2306)/2101525Stefano Morozzi02/2021
81692^337222-340871101514Harrison Mesh06/2022
8170(2^337195+2646)/2101506Stefano Morozzi09/2020
81712^337183-19989101503Enzo Doria06/2013
81722^337149+72425101492Enzo Doria04/2016
817324041^16642+16642^24041101483Hans Havermann12/2018
817433982^969+969^33982101482Hans Havermann12/2018
81752^337101-20241101478Enzo Doria06/2013
81762^337035-20001101458Enzo Doria06/2013
8177(7*10^101456+89)/3101457Robert Price08/2020
81782^337017-16995101453Lelio R Paula09/2016
8179(8677^25759-1)/8676101445Serge Batalov06/2022
81802^336979-115315101441Enzo Doria06/2015
81812^336970-20885101439Enzo Doria06/2013
81822^336958+79101435Lelio R Paula10/2009
8183(1589^31687-1)/1588101431Serge Batalov06/2022
81842^336942+169101430Lelio R Paula10/2009
8185(15185*2^336894-1)/7939101416Lelio R Paula05/2015
81864*10^101415-89101416Robert Price11/2018
8187(14*10^101410-89)/3101411Robert Price05/2020
81882^336871+257463101409Tony Prest / Never Odd Or Even04/2016
81892^336871+318105101409Tony Prest / Never Odd Or Even04/2016
81902^336871+1010813101409Tony Prest / Never Odd Or Even04/2016
81912^336871+2302245101409Tony Prest / Never Odd Or Even04/2016
81922^336871+389273101409Tony Prest / Never Odd Or Even04/2016
81932^336871+1685475101409Tony Prest / Never Odd Or Even04/2016
81942^336871+1068119101409Tony Prest / Never Odd Or Even04/2016
81952^336871+586905101409Tony Prest / Never Odd Or Even04/2016
81962^336871+674571101409Tony Prest / Never Odd Or Even04/2016
81972^336871+707009101409Tony Prest / Never Odd Or Even04/2016
81982^336871+1210299101409Tony Prest / Never Odd Or Even04/2016
81992^336871+1921185101409Tony Prest / Never Odd Or Even04/2016
82002^336871+2003973101409Tony Prest / Never Odd Or Even04/2016
82012^336871+2656475101409Tony Prest / Never Odd Or Even04/2016
82022^336871+2703023101409Tony Prest / Never Odd Or Even04/2016
82032^336871+2704545101409Tony Prest / Never Odd Or Even04/2016
82042^336871+2766801101409Tony Prest / Never Odd Or Even04/2016
82052^336871+2127735101409Tony Prest / Never Odd Or Even04/2016
8206(2^336871+821089)/3101408Tony Prest / Never Odd Or Even05/2016
8207(2^336871+119567)/5101408Tony Prest / Never Odd Or Even05/2016
8208(2^336871+398161)/3101408Tony Prest / Never Odd Or Even05/2016
8209(2^336871+625889)/7101408Tony Prest / Never Odd Or Even05/2016
821024097^16150+16150^24097101405Hans Havermann12/2018
82112^336842+94065101400Lelio R Paula09/2016
8212(7*10^101395-1)/3101396Robert Price08/2022
8213(2^336871+904417)/3/3/3/5/19/9287177/9690011663/29993043103101378Tony Prest / Never Odd Or Even04/2016
8214(2^336871+631971)/13/251/1601/294277/614362921/30324278867101377Tony Prest / Never Odd Or Even04/2016
8215(2^336871+1443541)/3/89/1655197/11018131/47972707/468862691879101374Tony Prest / Never Odd Or Even04/2016
8216(2^336871+689863)/3/11/109/137/1867/7151/20800501/29243857/127778489101373Tony Prest / Never Odd Or Even04/2016
8217(2^336871+219839)/191/643/3011/9479/117127/175750007/4578271757101373Tony Prest / Never Odd Or Even04/2016
8218(2^336871+272895)/19/661/977572033/95853078653/520779768241101373Tony Prest / Never Odd Or Even04/2016
8219(2^336871+1023429)/2311/415873/991889/3630648341/207732189179101373Tony Prest / Never Odd Or Even04/2016
822010^101369+203811101370Patrick De Geest11/2016
822110^101369-99101369Lelio R Paula09/2016
8222(2^336871+1832627)/5/5/23/181/4397/91373/3746673331/115602484097/279351383917101363Tony Prest / Never Odd Or Even04/2016
82232^336701-113563101358Enzo Doria08/2014
822489717!4-512101351Robert Price11/2019
82252^336644-109023101340Enzo Doria04/2014
82262^336601-21081101327Enzo Doria06/2013
8227(4*34^66153+227)/33101312Eric Chen03/2023
822820^77869+63101310Lelio R Paula09/2016
8229(13*2^336523-1)/19101304Lelio R Paula03/2014
82316^130179-137101299Lelio R Paula10/2016
8230(2^336506+lucasV(1,2,336506)+1)/2101299Mike Oakes11/2016
8232(24737*2^336485+1)/7285101293Lelio R Paula07/2014
8233(2^336448+9)/497405101276Lelio R Paula12/2013
82342^336369-19753101258Enzo Doria05/2013
823523842^17653+17653^23842101253Hans Havermann11/2018
82362^336350-344291101252Enzo Doria07/2015
8237(17*10^101251-161)/9101252Robert Price02/2021
8238(56*10^101222-47)/9101223Robert Price02/2019
82392^336243-108777101220Enzo Doria03/2014
8240(31*2^336189-1)/19101204Lelio R Paula03/2014
824123535^19954+19954^23535101202Hans Havermann11/2018
8242(78557*2^336178+1)/1268757101199Lelio R Paula07/2014
82432^336150-20393101192Enzo Doria06/2013
824423996^16473+16473^23996101186Hans Havermann11/2018
82452^336112-1865249101180Enzo Doria03/2016
82462^336103-109015101178Enzo Doria04/2014
8247(2^336095+2078)/2101175Stefano Morozzi09/2020
82482^336060+22201101165Enzo Doria09/2023
824913^90809-96101157Lelio R Paula10/2016
825026199^7258+7258^26199101150Hans Havermann11/2018


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: September, 29 2023 15:19 (Time in France)

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