PRP Records

Probable Primes Top 10000

(290751 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 ?
67512^338095-32395101777Stefano Morozzi03/2022
67522^338090-175353101776Stefano Morozzi12/2021
67532^338090+33277101776Stefano Morozzi02/2022
67542^338091-105601101776Stefano Morozzi02/2022
67552^338091-32127101776Stefano Morozzi03/2022
67562^338092+12873101776Stefano Morozzi04/2022
67572^338091-58485101776Stefano Morozzi04/2022
67582^338086+177643101775Stefano Morozzi12/2021
67592^338089+82905101775Stefano Morozzi02/2022
67602^338088+87565101775Stefano Morozzi04/2022
67612^338085-3301101774Stefano Morozzi01/2022
67622^338084+108691101774Stefano Morozzi03/2022
67632^338083+164369101774Stefano Morozzi05/2022
67642^338080+107521101773Stefano Morozzi02/2022
67652^338080-156917101773Stefano Morozzi03/2022
67662^338076+62311101772Stefano Morozzi04/2022
67672^338079+161745101772Stefano Morozzi04/2022
67682^338073-77971101771Stefano Morozzi01/2022
67692^338074+55579101771Stefano Morozzi01/2022
67702^338073-81813101771Stefano Morozzi03/2022
67712^338073+138645101771Stefano Morozzi05/2022
67722^338070-152607101770Stefano Morozzi01/2022
67732^338070+138787101770Stefano Morozzi05/2022
67742^338069+79365101769Stefano Morozzi01/2022
67752^338069+107571101769Stefano Morozzi02/2022
67762^338064+100087101768Stefano Morozzi11/2021
67772^338064-83793101768Stefano Morozzi04/2022
67782^338060-151047101767Stefano Morozzi12/2021
67792^338060-130805101767Stefano Morozzi02/2022
67802^338058-76415101766Stefano Morozzi12/2021
67812^338057+83865101766Stefano Morozzi03/2022
67822^338057+86997101766Stefano Morozzi04/2022
67832^338058+188589101766Stefano Morozzi05/2022
67842^338056+50605101765Stefano Morozzi11/2021
67852^338053+53231101765Stefano Morozzi01/2022
67862^338054-180497101765Stefano Morozzi02/2022
67872^338053+59891101765Stefano Morozzi03/2022
67882^338056+33987101765Stefano Morozzi03/2022
67892^338055-157779101765Stefano Morozzi03/2022
67902^338052-55373101764Stefano Morozzi02/2022
67912^338048+31185101763Stefano Morozzi01/2022
67922^338047+31935101763Stefano Morozzi02/2022
67932^338047+108011101763Stefano Morozzi02/2022
67942^338049+56777101763Stefano Morozzi02/2022
67952^338049-7531101763Stefano Morozzi03/2022
67962^338048-304019101763Harrison Mesh06/2022
67972^338046-25841101762Stefano Morozzi12/2021
67982^338046-2285101762Stefano Morozzi12/2021
67992^338046-177851101762Stefano Morozzi01/2022
68002^338043+84045101762Stefano Morozzi03/2022
68012^338046-57573101762Stefano Morozzi03/2022
68022^338044-8177101762Stefano Morozzi04/2022
68032^338045-58443101762Stefano Morozzi04/2022
68042^338038-57887101760Stefano Morozzi04/2022
68052^338037+139169101760Stefano Morozzi05/2022
68062^338037+188595101760Stefano Morozzi05/2022
68072^338034+125653101759Stefano Morozzi11/2021
68082^338034-25211101759Stefano Morozzi12/2021
68092^338033-154099101759Stefano Morozzi02/2022
68102^338034-31803101759Stefano Morozzi03/2022
68112^338033+162311101759Stefano Morozzi04/2022
68122^338033-83071101759Stefano Morozzi04/2022
68132^338035-158095101759Stefano Morozzi04/2022
68142^338036-34193101759Stefano Morozzi04/2022
68152^338031+79989101758Stefano Morozzi01/2022
68162^338032+158073101758Stefano Morozzi02/2022
68172^338030-54371101758Stefano Morozzi02/2022
68182^338032-180747101758Stefano Morozzi02/2022
68192^338029-27909101757Stefano Morozzi01/2022
68202^338024-128495101756Stefano Morozzi01/2022
68212^338025+34785101756Stefano Morozzi03/2022
68222^338025-181765101756Stefano Morozzi03/2022
68232^338024+63765101756Stefano Morozzi05/2022
68242^338020-52437101755Stefano Morozzi12/2021
68252^338021+160241101755Stefano Morozzi03/2022
68262^338022+185845101755Stefano Morozzi03/2022
68272^338021+189587101755Stefano Morozzi05/2022
68282^338018-102741101754Stefano Morozzi01/2022
68292^338018+29937101754Stefano Morozzi01/2022
68302^338017-29505101754Stefano Morozzi02/2022
68312^338018-30873101754Stefano Morozzi02/2022
68322^338018-157013101754Stefano Morozzi03/2022
68332^338016+50797101753Stefano Morozzi11/2021
68342^338016+26707101753Stefano Morozzi12/2021
68352^338014+104677101753Stefano Morozzi01/2022
68382^338010-19833101752Enzo Doria06/2013
68362^338011+28665101752Stefano Morozzi01/2022
68372^338010+89505101752Stefano Morozzi05/2022
68392^338007+58985101751Stefano Morozzi03/2022
68402^338008+109741101751Stefano Morozzi03/2022
68412^338009+9527101751Stefano Morozzi03/2022
68422^338007+14511101751Stefano Morozzi05/2022
68432^338005-75829101750Stefano Morozzi12/2021
68442^338006-125055101750Stefano Morozzi12/2021
68452^338006+5013101750Stefano Morozzi01/2022
68462^338000+25113101749Stefano Morozzi12/2021
68483^213215-76101730Lelio R Paula09/2016
684723907^17998+17998^23907101730Hans Havermann01/2019
684910^101728+154953101729Patrick De Geest02/2020
68522^337930+63101728Lelio R Paula07/2011
685010^101728-987654321101728Robert Price12/2019
685110^101728-60741101728Patrick De Geest02/2020
68532^337920+1869661101725Enzo Doria05/2016
68542^337922+100280245065101725Paul Bourdelais10/2021
685524116^16509+16509^24116101715Hans Havermann01/2019
6856(2^337875+3174)/2101711Stefano Morozzi09/2020
68572^337859-19645101706Enzo Doria05/2013
68582^337754+1869169101675Enzo Doria05/2016
68593*10^101657-37101658Robert Price07/2018
6860(31*2^337677-1)/593101650Lelio R Paula03/2014
686111^97605-24101646Lelio R Paula10/2016
6862(83*10^101636+133)/9101637Robert Price08/2021
6863(2^337624+3606)/2101635Stefano Morozzi09/2020
68648^112539-112539101633Robert Price01/2014
6865(2^337575+1818)/2101620Stefano Morozzi02/2021
686625694^9003+9003^25694101605Hans Havermann12/2018
68672^337515-19869101603Enzo Doria06/2013
68682^337473+719101590Lelio R Paula08/2011
6869(2^337485-509203)/656647157101585Lelio R Paula12/2013
68702^337452-108815101584Enzo Doria03/2014
68712^337453+1185101584Lelio R Paula09/2016
6872(41*10^101583+319)/9101584Robert Price06/2021
68732^337410-113561101571Enzo Doria08/2014
68742^337387+855101564Lelio R Paula09/2016
68752^337367-17295101558Lelio R Paula09/2016
68762^337342-109035101551Enzo Doria04/2014
687723703^19238+19238^23703101548Hans Havermann12/2018
6878(26*10^101537-167)/3101538Robert Price10/2019
68792^337267-19101528Lelio R Paula07/2011
6880(2^337259+1766)/2101525Stefano Morozzi09/2020
6881(2^337257+2306)/2101525Stefano Morozzi02/2021
68822^337222-340871101514Harrison Mesh06/2022
6883(2^337195+2646)/2101506Stefano Morozzi09/2020
68842^337183-19989101503Enzo Doria06/2013
68852^337149+72425101492Enzo Doria04/2016
688624041^16642+16642^24041101483Hans Havermann12/2018
688733982^969+969^33982101482Hans Havermann12/2018
68882^337101-20241101478Enzo Doria06/2013
68892^337035-20001101458Enzo Doria06/2013
6890(7*10^101456+89)/3101457Robert Price08/2020
68912^337017-16995101453Lelio R Paula09/2016
6892(8677^25759-1)/8676101445Serge Batalov06/2022
68932^336979-115315101441Enzo Doria06/2015
68942^336970-20885101439Enzo Doria06/2013
68952^336958+79101435Lelio R Paula10/2009
6896(1589^31687-1)/1588101431Serge Batalov06/2022
68972^336942+169101430Lelio R Paula10/2009
6898(15185*2^336894-1)/7939101416Lelio R Paula05/2015
68994*10^101415-89101416Robert Price11/2018
6900(14*10^101410-89)/3101411Robert Price05/2020
69012^336871+257463101409Tony Prest / Never Odd Or Even04/2016
69022^336871+318105101409Tony Prest / Never Odd Or Even04/2016
69032^336871+1010813101409Tony Prest / Never Odd Or Even04/2016
69042^336871+2302245101409Tony Prest / Never Odd Or Even04/2016
69052^336871+389273101409Tony Prest / Never Odd Or Even04/2016
69062^336871+1685475101409Tony Prest / Never Odd Or Even04/2016
69072^336871+1068119101409Tony Prest / Never Odd Or Even04/2016
69082^336871+586905101409Tony Prest / Never Odd Or Even04/2016
69092^336871+674571101409Tony Prest / Never Odd Or Even04/2016
69102^336871+707009101409Tony Prest / Never Odd Or Even04/2016
69112^336871+1210299101409Tony Prest / Never Odd Or Even04/2016
69122^336871+1921185101409Tony Prest / Never Odd Or Even04/2016
69132^336871+2003973101409Tony Prest / Never Odd Or Even04/2016
69142^336871+2656475101409Tony Prest / Never Odd Or Even04/2016
69152^336871+2703023101409Tony Prest / Never Odd Or Even04/2016
69162^336871+2704545101409Tony Prest / Never Odd Or Even04/2016
69172^336871+2766801101409Tony Prest / Never Odd Or Even04/2016
69182^336871+2127735101409Tony Prest / Never Odd Or Even04/2016
6919(2^336871+821089)/3101408Tony Prest / Never Odd Or Even05/2016
6920(2^336871+119567)/5101408Tony Prest / Never Odd Or Even05/2016
6921(2^336871+398161)/3101408Tony Prest / Never Odd Or Even05/2016
6922(2^336871+625889)/7101408Tony Prest / Never Odd Or Even05/2016
692324097^16150+16150^24097101405Hans Havermann12/2018
69242^336842+94065101400Lelio R Paula09/2016
6925(2^336871+904417)/3/3/3/5/19/9287177/9690011663/29993043103101378Tony Prest / Never Odd Or Even04/2016
6926(2^336871+631971)/13/251/1601/294277/614362921/30324278867101377Tony Prest / Never Odd Or Even04/2016
6927(2^336871+1443541)/3/89/1655197/11018131/47972707/468862691879101374Tony Prest / Never Odd Or Even04/2016
6928(2^336871+689863)/3/11/109/137/1867/7151/20800501/29243857/127778489101373Tony Prest / Never Odd Or Even04/2016
6929(2^336871+219839)/191/643/3011/9479/117127/175750007/4578271757101373Tony Prest / Never Odd Or Even04/2016
6930(2^336871+272895)/19/661/977572033/95853078653/520779768241101373Tony Prest / Never Odd Or Even04/2016
6931(2^336871+1023429)/2311/415873/991889/3630648341/207732189179101373Tony Prest / Never Odd Or Even04/2016
693210^101369+203811101370Patrick De Geest11/2016
693310^101369-99101369Lelio R Paula09/2016
6934(2^336871+1832627)/5/5/23/181/4397/91373/3746673331/115602484097/279351383917101363Tony Prest / Never Odd Or Even04/2016
69352^336701-113563101358Enzo Doria08/2014
693689717!4-512101351Robert Price11/2019
69372^336644-109023101340Enzo Doria04/2014
69382^336601-21081101327Enzo Doria06/2013
693920^77869+63101310Lelio R Paula09/2016
6940(13*2^336523-1)/19101304Lelio R Paula03/2014
69426^130179-137101299Lelio R Paula10/2016
6941(2^336506+lucasV(1,2,336506)+1)/2101299Mike Oakes11/2016
6943(24737*2^336485+1)/7285101293Lelio R Paula07/2014
6944(2^336448+9)/497405101276Lelio R Paula12/2013
69452^336369-19753101258Enzo Doria05/2013
694623842^17653+17653^23842101253Hans Havermann11/2018
69472^336350-344291101252Enzo Doria07/2015
6948(17*10^101251-161)/9101252Robert Price02/2021
6949(56*10^101222-47)/9101223Robert Price02/2019
69502^336243-108777101220Enzo Doria03/2014
6951(31*2^336189-1)/19101204Lelio R Paula03/2014
695223535^19954+19954^23535101202Hans Havermann11/2018
6953(78557*2^336178+1)/1268757101199Lelio R Paula07/2014
69542^336150-20393101192Enzo Doria06/2013
695523996^16473+16473^23996101186Hans Havermann11/2018
69562^336112-1865249101180Enzo Doria03/2016
69572^336103-109015101178Enzo Doria04/2014
6958(2^336095+2078)/2101175Stefano Morozzi09/2020
695913^90809-96101157Lelio R Paula10/2016
696026199^7258+7258^26199101150Hans Havermann11/2018
696119^79098-30101147Lelio R Paula10/2016
696219^79095+88101144Lelio R Paula10/2016
696315^85976+32101116Lelio R Paula10/2016
69642^335872-2776215101108Tony Prest / Never Odd Or Even01/2019
6965(3^211950+7)/28854513015920697088101107Lelio R Paula11/2013
6966(4^167933+17)/3101106Robert Price02/2017
69672^335858+153101104Lelio R Paula10/2009
6968(2^335872-2776871)/5/5/479101104Tony Prest / Never Odd Or Even01/2019
6969(2^335872-2758787)/23/31/20809101101Tony Prest / Never Odd Or Even01/2019
6970(2^335839+2114)/2101098Stefano Morozzi09/2020
6971(2^335872-2795083)/3/3/113/283/148367101097Tony Prest / Never Odd Or Even01/2019
69736^129918-35101096Lelio R Paula10/2016
6972(2*10^101096-107)/3101096Robert Price11/2020
69743^211885-70101095Lelio R Paula09/2016
6975(29*2^335835-1)/550599101093Lelio R Paula03/2014
6976(2^335872-2794771)/3/5/5/61/232312440293101093Tony Prest / Never Odd Or Even01/2019
69772^335818-20033101092Enzo Doria06/2013
69782^335813-110083101090Enzo Doria04/2014
69792^335804+2155101088Lelio R Paula09/2016
6980(2^335872-2756679)/7/7/7/13/31/4987/437653/8734021101087Tony Prest / Never Odd Or Even01/2019
69812^335784-16145101082Enzo Doria04/2013
698211^97051+62101069Lelio R Paula10/2016
69833*10^101065+11101066Robert Price07/2018
698427820^4293+4293^27820101064Hans Havermann10/2018
6985(2^335714+3750)/2101060Stefano Morozzi01/2021
6986(2^335690+1038)/2101053Stefano Morozzi09/2020
6987(2^335691-3)/26515101049Lelio R Paula12/2013
69882^335658-94395101044Lelio R Paula09/2016
698924514^13215+13215^24514101024Hans Havermann11/2018
69902^335586+169101022Lelio R Paula10/2009
6991(56^57787-1)/55101021Paul Bourdelais08/2017
6992(2^335562+1258)/2101014Stefano Morozzi09/2020
69932^335541+4849845101008Paul Bourdelais04/2022
6994(38*10^100999+169)/9101000Robert Price11/2021
6995(19*10^100997+737)/9100998Robert Price07/2018
699647599!2+1024100991Robert Price02/2015
69972^335468-18629100986Enzo Doria05/2013
69982^335454-20961100982Enzo Doria06/2013
6999(2^335454+3258)/2100982Stefano Morozzi02/2021
700010^100978+61100979Lelio R Paula09/2016


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: June, 23 2022 21:24 (Time in France)

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