PRP Records

Probable Primes Top 10000

(291192 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) !!!


Submit your PRPs


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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 ?
70012^338111-85627101782Stefano Morozzi06/2022
700935^65917-7092101781Enzo Doria03/2013
70022^338107-1221101781Stefano Morozzi12/2021
70032^338109+108539101781Stefano Morozzi03/2022
70042^338109-7261101781Stefano Morozzi03/2022
70052^338109-131961101781Stefano Morozzi03/2022
70062^338108+39585101781Stefano Morozzi05/2022
70072^338109+38147101781Stefano Morozzi05/2022
70082^338108+17301101781Stefano Morozzi09/2022
70102^338105+79599101780Stefano Morozzi01/2022
70112^338103-180675101780Stefano Morozzi02/2022
70122^338103+19499101780Stefano Morozzi09/2022
70132^338100-100389101779Stefano Morozzi12/2021
70142^338100+27595101779Stefano Morozzi12/2021
70152^338101+101139101779Stefano Morozzi12/2021
70162^338101+134985101779Stefano Morozzi03/2022
70172^338102+186135101779Stefano Morozzi03/2022
70182^338100+36885101779Stefano Morozzi04/2022
70192^338102-8151101779Stefano Morozzi04/2022
70202^338100+90637101779Stefano Morozzi06/2022
70212^338101+68505101779Stefano Morozzi09/2022
70222^338097+100229101778Stefano Morozzi11/2021
70232^338097-25695101778Stefano Morozzi12/2021
70242^338098-110043101778Stefano Morozzi06/2022
70252^338093-128403101777Stefano Morozzi01/2022
70262^338093+33051101777Stefano Morozzi02/2022
70272^338094+135555101777Stefano Morozzi03/2022
70282^338095-32395101777Stefano Morozzi03/2022
70292^338090-175353101776Stefano Morozzi12/2021
70302^338090+33277101776Stefano Morozzi02/2022
70312^338091-105601101776Stefano Morozzi02/2022
70322^338091-32127101776Stefano Morozzi03/2022
70332^338092+12873101776Stefano Morozzi04/2022
70342^338091-58485101776Stefano Morozzi04/2022
70352^338086+177643101775Stefano Morozzi12/2021
70362^338089+82905101775Stefano Morozzi02/2022
70372^338088+87565101775Stefano Morozzi04/2022
70382^338085-3301101774Stefano Morozzi01/2022
70392^338084+108691101774Stefano Morozzi03/2022
70402^338083+164369101774Stefano Morozzi05/2022
70412^338080+107521101773Stefano Morozzi02/2022
70422^338080-156917101773Stefano Morozzi03/2022
70432^338076+62311101772Stefano Morozzi04/2022
70442^338079+161745101772Stefano Morozzi04/2022
70452^338078-60075101772Stefano Morozzi06/2022
70462^338079+167079101772Stefano Morozzi09/2022
70472^338073-77971101771Stefano Morozzi01/2022
70482^338074+55579101771Stefano Morozzi01/2022
70492^338073-81813101771Stefano Morozzi03/2022
70502^338073+138645101771Stefano Morozzi05/2022
70512^338070-152607101770Stefano Morozzi01/2022
70522^338070+138787101770Stefano Morozzi05/2022
70532^338071+165249101770Stefano Morozzi06/2022
70542^338069+79365101769Stefano Morozzi01/2022
70552^338069+107571101769Stefano Morozzi02/2022
70562^338064+100087101768Stefano Morozzi11/2021
70572^338064-83793101768Stefano Morozzi04/2022
70582^338064+193701101768Stefano Morozzi09/2022
70592^338060-151047101767Stefano Morozzi12/2021
70602^338060-130805101767Stefano Morozzi02/2022
70612^338058-76415101766Stefano Morozzi12/2021
70622^338057+83865101766Stefano Morozzi03/2022
70632^338057+86997101766Stefano Morozzi04/2022
70642^338058+188589101766Stefano Morozzi05/2022
70652^338058+68089101766Stefano Morozzi09/2022
70662^338056+50605101765Stefano Morozzi11/2021
70672^338053+53231101765Stefano Morozzi01/2022
70682^338054-180497101765Stefano Morozzi02/2022
70692^338053+59891101765Stefano Morozzi03/2022
70702^338056+33987101765Stefano Morozzi03/2022
70712^338055-157779101765Stefano Morozzi03/2022
70722^338056+90307101765Stefano Morozzi06/2022
70732^338052-55373101764Stefano Morozzi02/2022
70742^338048+31185101763Stefano Morozzi01/2022
70752^338047+31935101763Stefano Morozzi02/2022
70762^338047+108011101763Stefano Morozzi02/2022
70772^338049+56777101763Stefano Morozzi02/2022
70782^338049-7531101763Stefano Morozzi03/2022
70792^338048-304019101763Harrison Mesh06/2022
70802^338049+191291101763Stefano Morozzi06/2022
70812^338046-25841101762Stefano Morozzi12/2021
70822^338046-2285101762Stefano Morozzi12/2021
70832^338046-177851101762Stefano Morozzi01/2022
70842^338043+84045101762Stefano Morozzi03/2022
70852^338046-57573101762Stefano Morozzi03/2022
70862^338044-8177101762Stefano Morozzi04/2022
70872^338045-58443101762Stefano Morozzi04/2022
70882^338044+193497101762Stefano Morozzi09/2022
70892^338038-57887101760Stefano Morozzi04/2022
70902^338037+139169101760Stefano Morozzi05/2022
70912^338037+188595101760Stefano Morozzi05/2022
70922^338034+125653101759Stefano Morozzi11/2021
70932^338034-25211101759Stefano Morozzi12/2021
70942^338033-154099101759Stefano Morozzi02/2022
70952^338034-31803101759Stefano Morozzi03/2022
70962^338033+162311101759Stefano Morozzi04/2022
70972^338033-83071101759Stefano Morozzi04/2022
70982^338035-158095101759Stefano Morozzi04/2022
70992^338036-34193101759Stefano Morozzi04/2022
71002^338036+42873101759Stefano Morozzi09/2022
71012^338036+93373101759Stefano Morozzi09/2022
71022^338031+79989101758Stefano Morozzi01/2022
71032^338032+158073101758Stefano Morozzi02/2022
71042^338030-54371101758Stefano Morozzi02/2022
71052^338032-180747101758Stefano Morozzi02/2022
71062^338029-27909101757Stefano Morozzi01/2022
71072^338024-128495101756Stefano Morozzi01/2022
71082^338025+34785101756Stefano Morozzi03/2022
71092^338025-181765101756Stefano Morozzi03/2022
71102^338024+63765101756Stefano Morozzi05/2022
71112^338023-160621101756Stefano Morozzi06/2022
71122^338026+117553101756Stefano Morozzi09/2022
71132^338020-52437101755Stefano Morozzi12/2021
71142^338021+160241101755Stefano Morozzi03/2022
71152^338022+185845101755Stefano Morozzi03/2022
71162^338021+189587101755Stefano Morozzi05/2022
71172^338021-85891101755Stefano Morozzi06/2022
71182^338018-102741101754Stefano Morozzi01/2022
71192^338018+29937101754Stefano Morozzi01/2022
71202^338017-29505101754Stefano Morozzi02/2022
71212^338018-30873101754Stefano Morozzi02/2022
71222^338018-157013101754Stefano Morozzi03/2022
71232^338019+168929101754Stefano Morozzi09/2022
71242^338016+50797101753Stefano Morozzi11/2021
71252^338016+26707101753Stefano Morozzi12/2021
71262^338014+104677101753Stefano Morozzi01/2022
71292^338010-19833101752Enzo Doria06/2013
71272^338011+28665101752Stefano Morozzi01/2022
71282^338010+89505101752Stefano Morozzi05/2022
71302^338007+58985101751Stefano Morozzi03/2022
71312^338008+109741101751Stefano Morozzi03/2022
71322^338009+9527101751Stefano Morozzi03/2022
71332^338007+14511101751Stefano Morozzi05/2022
71342^338008+67957101751Stefano Morozzi09/2022
71352^338005-75829101750Stefano Morozzi12/2021
71362^338006-125055101750Stefano Morozzi12/2021
71372^338006+5013101750Stefano Morozzi01/2022
71382^338003+40269101750Stefano Morozzi06/2022
71392^338006+166495101750Stefano Morozzi06/2022
71402^338000+25113101749Stefano Morozzi12/2021
71423^213215-76101730Lelio R Paula09/2016
714123907^17998+17998^23907101730Hans Havermann01/2019
714310^101728+154953101729Patrick De Geest02/2020
71462^337930+63101728Lelio R Paula07/2011
714410^101728-987654321101728Robert Price12/2019
714510^101728-60741101728Patrick De Geest02/2020
71472^337920+1869661101725Enzo Doria05/2016
71482^337922+100280245065101725Paul Bourdelais10/2021
714924116^16509+16509^24116101715Hans Havermann01/2019
7150(2^337875+3174)/2101711Stefano Morozzi09/2020
71512^337859-19645101706Enzo Doria05/2013
71522^337754+1869169101675Enzo Doria05/2016
71533*10^101657-37101658Robert Price07/2018
7154(31*2^337677-1)/593101650Lelio R Paula03/2014
715511^97605-24101646Lelio R Paula10/2016
7156(83*10^101636+133)/9101637Robert Price08/2021
7157(2^337624+3606)/2101635Stefano Morozzi09/2020
71588^112539-112539101633Robert Price01/2014
7159(2^337575+1818)/2101620Stefano Morozzi02/2021
716025694^9003+9003^25694101605Hans Havermann12/2018
71612^337515-19869101603Enzo Doria06/2013
71622^337473+719101590Lelio R Paula08/2011
7163(2^337485-509203)/656647157101585Lelio R Paula12/2013
71642^337452-108815101584Enzo Doria03/2014
71652^337453+1185101584Lelio R Paula09/2016
7166(41*10^101583+319)/9101584Robert Price06/2021
71672^337410-113561101571Enzo Doria08/2014
71682^337387+855101564Lelio R Paula09/2016
71692^337367-17295101558Lelio R Paula09/2016
71702^337342-109035101551Enzo Doria04/2014
717123703^19238+19238^23703101548Hans Havermann12/2018
7172(26*10^101537-167)/3101538Robert Price10/2019
71732^337267-19101528Lelio R Paula07/2011
7174(2^337259+1766)/2101525Stefano Morozzi09/2020
7175(2^337257+2306)/2101525Stefano Morozzi02/2021
71762^337222-340871101514Harrison Mesh06/2022
7177(2^337195+2646)/2101506Stefano Morozzi09/2020
71782^337183-19989101503Enzo Doria06/2013
71792^337149+72425101492Enzo Doria04/2016
718024041^16642+16642^24041101483Hans Havermann12/2018
718133982^969+969^33982101482Hans Havermann12/2018
71822^337101-20241101478Enzo Doria06/2013
71832^337035-20001101458Enzo Doria06/2013
7184(7*10^101456+89)/3101457Robert Price08/2020
71852^337017-16995101453Lelio R Paula09/2016
7186(8677^25759-1)/8676101445Serge Batalov06/2022
71872^336979-115315101441Enzo Doria06/2015
71882^336970-20885101439Enzo Doria06/2013
71892^336958+79101435Lelio R Paula10/2009
7190(1589^31687-1)/1588101431Serge Batalov06/2022
71912^336942+169101430Lelio R Paula10/2009
7192(15185*2^336894-1)/7939101416Lelio R Paula05/2015
71934*10^101415-89101416Robert Price11/2018
7194(14*10^101410-89)/3101411Robert Price05/2020
71952^336871+257463101409Tony Prest / Never Odd Or Even04/2016
71962^336871+318105101409Tony Prest / Never Odd Or Even04/2016
71972^336871+1010813101409Tony Prest / Never Odd Or Even04/2016
71982^336871+2302245101409Tony Prest / Never Odd Or Even04/2016
71992^336871+389273101409Tony Prest / Never Odd Or Even04/2016
72002^336871+1685475101409Tony Prest / Never Odd Or Even04/2016
72012^336871+1068119101409Tony Prest / Never Odd Or Even04/2016
72022^336871+586905101409Tony Prest / Never Odd Or Even04/2016
72032^336871+674571101409Tony Prest / Never Odd Or Even04/2016
72042^336871+707009101409Tony Prest / Never Odd Or Even04/2016
72052^336871+1210299101409Tony Prest / Never Odd Or Even04/2016
72062^336871+1921185101409Tony Prest / Never Odd Or Even04/2016
72072^336871+2003973101409Tony Prest / Never Odd Or Even04/2016
72082^336871+2656475101409Tony Prest / Never Odd Or Even04/2016
72092^336871+2703023101409Tony Prest / Never Odd Or Even04/2016
72102^336871+2704545101409Tony Prest / Never Odd Or Even04/2016
72112^336871+2766801101409Tony Prest / Never Odd Or Even04/2016
72122^336871+2127735101409Tony Prest / Never Odd Or Even04/2016
7213(2^336871+821089)/3101408Tony Prest / Never Odd Or Even05/2016
7214(2^336871+119567)/5101408Tony Prest / Never Odd Or Even05/2016
7215(2^336871+398161)/3101408Tony Prest / Never Odd Or Even05/2016
7216(2^336871+625889)/7101408Tony Prest / Never Odd Or Even05/2016
721724097^16150+16150^24097101405Hans Havermann12/2018
72182^336842+94065101400Lelio R Paula09/2016
7219(7*10^101395-1)/3101396Robert Price08/2022
7220(2^336871+904417)/3/3/3/5/19/9287177/9690011663/29993043103101378Tony Prest / Never Odd Or Even04/2016
7221(2^336871+631971)/13/251/1601/294277/614362921/30324278867101377Tony Prest / Never Odd Or Even04/2016
7222(2^336871+1443541)/3/89/1655197/11018131/47972707/468862691879101374Tony Prest / Never Odd Or Even04/2016
7223(2^336871+689863)/3/11/109/137/1867/7151/20800501/29243857/127778489101373Tony Prest / Never Odd Or Even04/2016
7224(2^336871+219839)/191/643/3011/9479/117127/175750007/4578271757101373Tony Prest / Never Odd Or Even04/2016
7225(2^336871+272895)/19/661/977572033/95853078653/520779768241101373Tony Prest / Never Odd Or Even04/2016
7226(2^336871+1023429)/2311/415873/991889/3630648341/207732189179101373Tony Prest / Never Odd Or Even04/2016
722710^101369+203811101370Patrick De Geest11/2016
722810^101369-99101369Lelio R Paula09/2016
7229(2^336871+1832627)/5/5/23/181/4397/91373/3746673331/115602484097/279351383917101363Tony Prest / Never Odd Or Even04/2016
72302^336701-113563101358Enzo Doria08/2014
723189717!4-512101351Robert Price11/2019
72322^336644-109023101340Enzo Doria04/2014
72332^336601-21081101327Enzo Doria06/2013
723420^77869+63101310Lelio R Paula09/2016
7235(13*2^336523-1)/19101304Lelio R Paula03/2014
72376^130179-137101299Lelio R Paula10/2016
7236(2^336506+lucasV(1,2,336506)+1)/2101299Mike Oakes11/2016
7238(24737*2^336485+1)/7285101293Lelio R Paula07/2014
7239(2^336448+9)/497405101276Lelio R Paula12/2013
72402^336369-19753101258Enzo Doria05/2013
724123842^17653+17653^23842101253Hans Havermann11/2018
72422^336350-344291101252Enzo Doria07/2015
7243(17*10^101251-161)/9101252Robert Price02/2021
7244(56*10^101222-47)/9101223Robert Price02/2019
72452^336243-108777101220Enzo Doria03/2014
7246(31*2^336189-1)/19101204Lelio R Paula03/2014
724723535^19954+19954^23535101202Hans Havermann11/2018
7248(78557*2^336178+1)/1268757101199Lelio R Paula07/2014
72492^336150-20393101192Enzo Doria06/2013
725023996^16473+16473^23996101186Hans Havermann11/2018


Find by discoverer :


Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: September, 22 2022 18:03 (Time in France)

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