PRP Records

Probable Primes Top 10000

(271067 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 ?
1251(29*10^180432-17)/3180433Robert Price09/2019
12524*10^180360+93180361Robert Price08/2018
12532^598942+80779180300Enzo Doria07/2016
1254(38*10^180296+403)/9180297Robert Price10/2018
12552^598591-1844797180194Enzo Doria06/2015
1256(100^90089+1)/101180176Paul Bourdelais08/2017
12576*10^179970+91179971Robert Price05/2019
1258(4*10^179963-79)/3179964Robert Price02/2018
1259Gamma-Prime(179849)179849Eric W. Weisstein06/2011
12602^597424-1859729179843Enzo Doria11/2015
1261Phi(180683,10)179760Maksym Voznyy09/2015
1262(10^180683-1)*9/(10^643-1)/(10^281-1)179760Robert Price07/2016
1263(3^376657-2^376657)/22301107657179701Mike Oakes04/2017
1264(29*10^179697+223)/9179698Robert Price09/2018
1265(68*10^179656+7)/3179658Robert Price01/2020
12662^596690-461261179622Enzo Doria07/2015
12672^596684-113939179620Enzo Doria10/2014
12682*10^179602+63179603Robert Price05/2018
12693^375887-112696179344Enzo Doria07/2014
12704*10^179265-71179266Robert Price12/2018
12712^595144-1850429179157Enzo Doria08/2015
12723*10^179138+89179139Robert Price10/2018
12732^594531+82253178972Enzo Doria09/2016
12742^594260-2787899178891Enzo Doria11/2015
12752^593631+101381178701Jorge Menendez04/2018
127610^178695+136719178696Patrick De Geest05/2016
127710^178695-71178695Serge Batalov12/2014
1278(691^62903-1)/690178609Michael Stocker05/2020
1279(2^148330+1)^4-2178608Cletus Emmanuel12/2003
12802^593222-14145178578Jorge Menendez10/2017
12817*10^178566+33178567Robert Price06/2020
12822^593178+1867219178565Enzo Doria03/2016
1283(302*10^178369+13)/9178371Robert Price02/2020
1284(26*10^178296-113)/3178297Robert Price06/2020
1285(18^142031-1)/17178287Paul Bourdelais03/2010
1286(5*10^178206+91)/3178207Robert Price04/2018
12872^591872-291929178172Enzo Doria07/2015
12882^591682-286871178115Enzo Doria07/2015
12894*10^178091+9178092Robert Price05/2015
1290410747#+478483178007Makoto Morimoto02/2016
12913*10^177872+73177873Robert Price08/2018
12922^590762-396765177838Enzo Doria08/2013
1293(136*10^177754-1)/9177756Serge Batalov12/2014
1294ReverseConsecutiveIntegerPrime(37765)177719Eric W. Weisstein04/2010
1295(266*10^177577-11)/3177579Robert Price04/2020
1296(11*10^177466-113)/3177467Robert Price10/2018
12973*10^177373-97177374Robert Price07/2018
12982^589204+1881151177369Enzo Doria11/2016
12992^589132-69479177347Enzo Doria01/2016
1300(101*10^177302-17)/3177304Robert Price02/2020
13012^588912-113519177281Enzo Doria08/2014
130215^150706+2177245Robert Price06/2015
13032^588194-1861001177065Enzo Doria11/2015
1304(23*10^176964-47)/3176965Robert Price09/2019
1305(19*10^176932+521)/9176933Robert Price05/2018
1306(8*10^176908+43)/3176909Robert Price06/2018
1307(85*10^176900+203)/9176901Robert Price09/2020
13082^587560-113699176874Enzo Doria09/2014
1309(101*10^176815-17)/3176817Robert Price02/2020
1310(25*10^176715-37)/3176716Robert Price10/2019
13115^252763-12862176674Enzo Doria05/2014
13122^586804+81721176646Enzo Doria08/2016
1313(10^176584+77)/3176584Robert Price01/2018
13142^586570+1874419176576Enzo Doria06/2016
13152^585994-3311176402Yves Minet12/2014
13162^585832-112799176354Enzo Doria07/2014
13172^585336-461039176204Enzo Doria06/2015
1318(25*10^176164+143)/3176165Robert Price08/2020
13192^585095-1848127176132Enzo Doria08/2015
13206*10^176092+77176093Robert Price06/2020
13212^584950-115451176088Enzo Doria07/2015
13222^584671-3697176004Yves Minet03/2017
1323(13*10^175965-37)/3175966Robert Price01/2019
13242*10^175860-87175861Robert Price04/2018
1325(86*10^175774-221)/9175775Robert Price09/2019
132610^175608+2971175609Mike Oakes05/2010
132710^175608-55829175608Patrick De Geest09/2013
13282^583051+1879793175516Enzo Doria09/2016
13292^582860-23829175459Enzo Doria08/2013
13302^582670-23913175402Enzo Doria08/2013
13312^582573-29563175372Enzo Doria08/2015
13322^582435-1862767175331Enzo Doria12/2015
1333(11*10^175250-149)/3175251Robert Price09/2018
13342^582072-1848599175222Enzo Doria08/2015
1335(404267#+465)/(3^4*5^2*31)175208Makoto Morimoto06/2019
1336(220221^32768+1)/2175075Serge Batalov03/2018
13372^581560+1874911175068Enzo Doria06/2016
1338(75^93307-1)/74174955Paul Bourdelais09/2017
1339(47*10^174790+493)/9174791Robert Price03/2019
13402^580528-114035174757Enzo Doria11/2014
1341(19*10^174754+737)/9174755Robert Price07/2018
1342(35*10^174704-377)/9174705Robert Price07/2018
13433*10^174665-97174666Robert Price07/2018
13442^580046-459161174612Enzo Doria05/2015
13452^579992-39779174595Enzo Doria09/2015
1346(2*10^174301-71)/3174301Robert Price12/2017
1347(2^578696+1)/257174203Lelio R Paula09/2015
13482^578656-1851809174193Enzo Doria08/2015
13492^578583-113917174171Enzo Doria10/2014
13502^578434-83174126Yves Minet07/2017
135115^148048-2174118Robert Price06/2015
13525*10^174101+81174102Robert Price03/2019
13532^578346+2794249174100Enzo Doria03/2016
13545*10^173904-13173905Robert Price01/2019
1355(71*10^173854-287)/9173855Robert Price09/2019
1356(43*10^173826+101)/9173827Robert Price11/2018
13572*10^173809-87173810Robert Price04/2018
1358(L!41532)/2173772Serge Batalov07/2017
13592^577146-49877173739Enzo Doria10/2015
13602^576889+49727173661Enzo Doria09/2016
1361(167*10^173571-17)/3173573Robert Price03/2020
1362(2^576551-1)/4612409/64758208321/242584327930759173528Dario Alpern06/2014
1363(13*10^173467-37)/3173468Robert Price01/2019
13642^576016-113919173399Enzo Doria11/2014
13652^575911-1849387173367Enzo Doria08/2015
1366(16*10^173251+107)/3173252Robert Price03/2019
13672^575196-114053173152Enzo Doria11/2014
13687*10^173135-53173136Robert Price06/2020
13692^574591-115387172970Enzo Doria07/2015
1370(202*10^172940-13)/9172942Robert Price01/2020
13712^574328+81121172890Enzo Doria07/2016
1372(115*10^172862-1)/3172864Serge Batalov12/2014
13733*10^172812+13172813Robert Price07/2018
13744*5^247217-9172798Lelio R Paula10/2015
13756*10^172772-31172773Robert Price07/2020
137669061#+(467617#)/(69061#)172766Makoto Morimoto10/2017
13775*10^172692+57172693Robert Price12/2018
13782^573668-2782319172692Enzo Doria09/2015
13792^573444-1855109172624Enzo Doria09/2015
13803^361608+2172531Robert Price08/2014
1381(54^99563+1)/55172481Paul Bourdelais11/2017
13822^572592-114893172368Enzo Doria05/2015
13834*10^172354-39172355Robert Price09/2020
13845^246497-4^246497172295Jean-Louis Charton11/2008
1385(38^109037-1)/37172254Paul Bourdelais10/2017
13863*10^172219+73172220Robert Price08/2018
1387(36^110503+1)/37171975Lelio R Paula04/2017
1388(22*10^171929-73)/3171930Robert Price04/2019
13894*10^171891-63171892Robert Price10/2018
13902^570980-2782289171883Enzo Doria09/2015
1391(25*10^171849-37)/3171850Robert Price10/2019
1392(2^(12*47563+13)-9)/7171818Kevin Acres11/2013
1393(536*10^171601-23)/9171603Robert Price02/2020
13947*10^171535-99171536Robert Price06/2019
1395(28*10^171534+101)/3171535Robert Price09/2020
13962^569563-1854607171456Enzo Doria09/2015
13973*10^171391+59171392Robert Price08/2018
1398(13*10^171306-37)/3171307Robert Price01/2019
13998*10^171296+87171297Robert Price10/2019
1400(55^98419-1)/54171284Paul Bourdelais12/2017
1401(29*10^171275+67)/3171276Robert Price12/2019
14022^568642+1876129171179Enzo Doria07/2016
1403(19*10^170970+131)/3170971Robert Price06/2020
1404(46*10^170932+143)/9170933Robert Price01/2019
1405(79*10^170901-1)/3170903Robert Price02/2020
1406(58*10^170842+221)/9170843Robert Price02/2017
14073*10^170800+73170801Robert Price08/2018
140811^164009-270170798Enzo Doria10/2012
14092*10^170767+41170768Robert Price05/2018
14103^357706-112358170670Enzo Doria07/2014
1411TheodorusPrime(170657)170657Eric W. Weisstein08/2013
14122^566871+1876163170646Enzo Doria07/2016
1413(10657#+(404267#)/(10657#))/(1675379)170624Makoto Morimoto10/2017
14142^566496+7170533Donovan Johnson07/2006
1415(7^201653+1)/8170416Paul Bourdelais02/2010
14167*10^170348+33170349Robert Price06/2020
14172^565183-352021170138Enzo Doria07/2015
14182^565143-114457170125Enzo Doria02/2015
14192^564976-49869170075Enzo Doria10/2015
1420(7*10^169944+23)/3169945Robert Price06/2020
14212^564526-351401169940Enzo Doria07/2015
14224*10^169759+19169760Robert Price10/2018
142321^128327-20^128327169677Jean-Louis Charton11/2014
1424(4*10^169559+83)/3169560Robert Price02/2018
1425(194*10^169461-17)/3169463Robert Price09/2020
14262^562749+2793047169405Enzo Doria02/2016
1427(154*10^169337-1)/9169339Serge Batalov12/2014
1428(56*10^169311+691)/9169312Robert Price05/2019
14292^562369-29503169290Enzo Doria08/2015
1430(22*10^169019+383)/9169020Robert Price05/2018
14315*10^168807+87168808Robert Price02/2019
14322^560405-39943168699Enzo Doria09/2015
143389*10^168614-7168616Robert Price04/2020
1434(23*10^168608-83)/3168609Robert Price08/2019
1435(94*10^168541+11)/3168543Robert Price04/2020
14362^559686-350471168483Enzo Doria06/2015
14372^559672-1855889168479Enzo Doria09/2015
1438(5*10^168379-473)/9168379Robert Price01/2018
14392^559000-59939168276Enzo Doria11/2015
1440(16*10^168181+41)/3168182Robert Price03/2019
1441(19*10^168173+77)/3168174Robert Price05/2019
14422^558640-114149168168Enzo Doria12/2014
14432^558498-1849277168125Enzo Doria08/2015
14442^558476-1850249168119Enzo Doria08/2015
1445(7*10^168067+71)/3168068Robert Price05/2018
14462^558150-1852211168020Enzo Doria08/2015
14472^558125-113661168013Enzo Doria09/2014
1448393^64747-392^64747167980Jean-Louis Charton08/2012
1449(13*10^167911+179)/3167912Robert Price11/2018
1450(26*10^167861-167)/3167862Robert Price10/2019
145139^105456+2167788Robert Price04/2015
1452(28^115877-1)/27167691Paul Bourdelais12/2017
145310^167639+121911167640Patrick De Geest07/2018
145410^167639-8001167639Robert Price03/2018
14552^556504-462059167525Enzo Doria07/2015
14565*10^167510+9167511Robert Price08/2015
14577*10^167437-93167438Robert Price08/2020
14582^555343+1874333167175Enzo Doria06/2016
14592^555210-461261167135Enzo Doria07/2015
14609*10^166996+59166997Robert Price01/2020
14612^554372+1880527166883Enzo Doria11/2016
14622^554299+72173166861Enzo Doria04/2016
1463(185*10^166837+7)/3166839Robert Price03/2020
14642^554037-2797063166782Enzo Doria03/2016
1465(49*10^166721-139)/9166722Robert Price03/2019
14662*10^166646+69166647Robert Price06/2020
14672^553484-29819166616Enzo Doria08/2015
1468(188*10^166611+7)/3166613Robert Price03/2020
14692^553383-2784217166585Enzo Doria10/2015
14702^553069+76427166491Enzo Doria05/2016
14712*10^166458+51166459Robert Price05/2018
1472589^60089-588^60089166454Jean-Louis Charton09/2012
147311^159756-2424166369Mike Oakes06/2010
14742^552649-361275166364Enzo Doria05/2014
14752^552628-113669166358Enzo Doria09/2014
147610^166324+550603166325Patrick De Geest07/2018
147710^166324-801166324Robert Price02/2018
1478(85*10^166297-1)/3166299Robert Price02/2020
14798*10^166227+87166228Robert Price10/2019
14802^552137+1879397166210Enzo Doria09/2016
1481(23^121949-1)/22166061Paul Bourdelais10/2017
14822^551542+19249166031Payam Samidoost08/2002
14832^551535-23821166029Enzo Doria08/2013
14842^551507-23557166021Enzo Doria08/2013
14857*10^165916-3165917Robert Price08/2015
1486(29*10^165796+67)/3165797Robert Price12/2019
148781^86837-80^86837165728Robert Price01/2015
1488(71*10^165663-539)/9165664Robert Price07/2019
14892^550270-69551165648Enzo Doria12/2015
1490(202*10^165569-13)/9165571Robert Price01/2020
14912^550000-23625165567Enzo Doria08/2013
14922^549675-1852057165469Enzo Doria08/2015
1493-tau(103^14938)165374Nik Lygeros / Olivier Rozier10/2013
1494(28*10^165358-1)/9165359Serge Batalov10/2014
14952^549278+1879669165350Enzo Doria09/2016
1496(7*10^165350-439)/9165350Robert Price02/2018
14972^549252-351269165342Enzo Doria06/2015
1498(14*10^165282+73)/3165283Robert Price12/2018
14992^549049+2797607165281Enzo Doria04/2016
1500(7*10^165239+107)/3165240Robert Price02/2018


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: September, 30 2020 10:03 (Time in France)

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