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 ?
1251(29*10^193950-23)/3193951Robert Price03/2022
12525*10^193907-9193908Robert Price05/2015
12532^644043+1876703193877Enzo Doria07/2016
12542*10^193841-63193842Robert Price01/2022
12552^643735+1879733193784Enzo Doria09/2016
1256(5^277183+1)/6193742Paul Bourdelais07/2010
12579*10^193712+71193713Robert Price08/2020
12582^643216-286565193628Enzo Doria07/2015
125910^193566-10000000001193566Robert Price04/2021
126010^193566-454041193566Patrick De Geest08/2021
12612^642888-24965193529Enzo Doria09/2013
12622^642448-114825193397Enzo Doria05/2015
12632^642437-1856623193393Enzo Doria10/2015
12642^642039-59797193273Enzo Doria11/2015
126510^193230+513861193231Patrick De Geest07/2018
126610^193230-8001193230Robert Price03/2018
1267(62*10^193225-233)/9193226Robert Price02/2022
12682^641692-286349193169Enzo Doria07/2015
12692^641690-24737193168Enzo Doria09/2013
12702^641514+1876549193115Enzo Doria07/2016
12712^640888-2785619192927Enzo Doria10/2015
12722^640874-2783741192923Enzo Doria09/2015
127310^192922+192207192923Patrick De Geest08/2021
127410^192922-7001192922Robert Price04/2021
12752^640854+25192917Stefano Morozzi05/2021
127634*10^192868-9192870Robert Price06/2020
1277(46*10^192841+683)/9192842Robert Price03/2019
12782^640181+467192714Lelio R Paula08/2013
12792^639536-1850249192520Enzo Doria08/2015
128040714<>40712<>...<>1086421357911<>...<>40711<>40713192464Hans Havermann12/2019
12815*10^192422-43192423Robert Price01/2019
12822^639110-2792441192392Enzo Doria02/2016
12832^638955-29827192345Enzo Doria08/2015
12842^638713-2784223192272Enzo Doria10/2015
1285(10^192216+7)/149192214Alfred Reich07/2021
12862^638490-113507192205Enzo Doria08/2014
12872^638189-39943192115Enzo Doria09/2015
12882^638110+1877119192091Enzo Doria07/2016
12892^638066-2785211192078Enzo Doria10/2015
1290(35*10^191973-341)/9191974Robert Price08/2021
1291(112*10^191900+17)/3191902Robert Price03/2020
12922^637475-115309191900Enzo Doria07/2015
1293(68*10^191754-113)/9191755Robert Price03/2021
1294(47*10^191732+259)/9191733Robert Price03/2022
12952^636661+1876577191655Enzo Doria07/2016
1296(34^125101-1)/33191589Paul Bourdelais11/2017
12972^636177-1855123191509Enzo Doria09/2015
12982^636158-113627191503Enzo Doria08/2014
1299(37*25^136966+63)/4191472Curtis Bright05/2015
13002^636035+79823191466Enzo Doria06/2016
13012^636011-1860847191459Enzo Doria11/2015
13022^635926-1860611191433Enzo Doria11/2015
13033*10^191152-7191153Robert Price08/2015
13042^634883-1865677191119Enzo Doria02/2016
13052^634801+1871957191095Enzo Doria05/2016
1306(77*10^191080+157)/9191081Robert Price05/2022
1307(35*10^191073+1)/9191074Serge Batalov07/2010
13089*10^191018-41191019Robert Price08/2020
13092^634470-59861190995Enzo Doria11/2015
13102^634368-29519190964Enzo Doria08/2015
13112^634188-350609190910Enzo Doria06/2015
1312(65*10^190899+493)/9190900Robert Price08/2021
1313(62*10^190795-413)/9190796Robert Price09/2021
1314(26*10^190789-131)/3190790Robert Price10/2019
1315(13*10^190732-61)/3190733Robert Price11/2018
1316(7*10^190683+143)/3190684Robert Price03/2018
13172^633088-113879190579Enzo Doria10/2014
13182^633064+1874911190572Enzo Doria06/2016
1319(43*10^190547+83)/9190548Robert Price11/2018
132099*10^190543+7190545Robert Price05/2021
1321(299*10^190533+1)/3190535Robert Price04/2020
1322(1744*10^190519-1747)/3190522Robert Price12/2020
13232^632795-351205190491Enzo Doria06/2015
1324(16*10^190420-19)/3190421Robert Price02/2019
1325(43*10^190351+101)/9190352Robert Price11/2018
13262^632156+78391190298Enzo Doria06/2016
132797*10^190295-3190297Robert Price05/2020
13282^632082-1851971190276Enzo Doria08/2015
13292^632020+1880311190257Enzo Doria09/2016
1330(5*10^190242-77)/9190242Robert Price04/2021
13317*10^190210+13190211Robert Price03/2021
13322^631637-462373190142Enzo Doria08/2015
13332*10^190126-21190127Robert Price09/2020
1334(28*10^190105+191)/3190106Robert Price02/2020
13352*10^190093+33190094Robert Price11/2021
1336(68*10^190053-113)/9190054Robert Price03/2021
13372^631122-39251189987Enzo Doria08/2015
1338(26*10^189928-89)/9189929Robert Price06/2018
13392^630839-97189902Yves Minet07/2017
134099*10^189876-7189878Robert Price07/2020
13412^630359+1788953189757Enzo Doria05/2016
13422^630228+1871971189718Enzo Doria05/2016
13432^630108+781189682Lelio R Paula08/2013
13442^629870-1867811189610Enzo Doria04/2016
1345(359^74189-1)/358189558Alexander Zhirkov11/2017
13462^629326+2792929189447Enzo Doria02/2016
13474*10^189401+13189402Robert Price02/2021
1348(10^189385-61)/3189385Serge Batalov12/2014
13492^629036+1874011189359Enzo Doria06/2016
13502^628930+80779189327Enzo Doria07/2016
1351(134*10^189309-11)/3189311Robert Price01/2022
13522^628582+1179439189223Enzo Doria06/2016
1353(44*10^188999-503)/9189000Robert Price12/2018
1354(16*10^188823+167)/3188824Robert Price06/2019
1355(10^188796+7)/4967/71933188788Alfred Reich08/2021
13562^627037-2785843188757Enzo Doria10/2015
1357(10^188566+7)/311640753181661188552Alfred Reich04/2022
1358(16*10^188457+161)/3188458Robert Price02/2019
1359L(901657)188436Renaud Lifchitz11/2008
1360(19*10^188375+137)/3188376Robert Price03/2022
13612^625651+74213188340Enzo Doria04/2016
13622^625584-460919188320Enzo Doria06/2015
1363(14*10^188218+139)/9188219Robert Price11/2021
1364(10^188164+359)/9188164Serge Batalov12/2014
13652^624481-113611187988Enzo Doria08/2014
1366(2^624389+125582)/2187960Stefano Morozzi09/2019
1367(2^624389+166982)/2187960Stefano Morozzi09/2019
1368(2^624389+179886)/2187960Stefano Morozzi09/2019
1369(2^624387+64466)/2187959Stefano Morozzi09/2019
1370(2^624378+112990)/2187957Stefano Morozzi09/2019
1371(2^624380+161986)/2187957Stefano Morozzi09/2019
1373(2^624376+55762)/2187956Stefano Morozzi09/2019
1372(2^624377+169506)/2187956Stefano Morozzi09/2019
1374(2^624355+80178)/2187950Stefano Morozzi09/2019
1375(2^624351+61350)/2187949Stefano Morozzi09/2019
1376(2^624341+63462)/2187946Stefano Morozzi09/2019
1377(2^624344+135990)/2187946Stefano Morozzi09/2019
1378(2^624344+183898)/2187946Stefano Morozzi09/2019
1380(2^624340+126982)/2187945Stefano Morozzi09/2019
1379(2^624338+196110)/2187945Stefano Morozzi09/2019
1381(2^624337+105162)/2187944Stefano Morozzi09/2019
1382(2^624333+44594)/2187943Stefano Morozzi09/2019
1383(2^624321+88742)/2187940Stefano Morozzi09/2019
1384(2^624324+135178)/2187940Stefano Morozzi09/2019
1385(2^624317+14186)/2187938Stefano Morozzi09/2019
1386(2^624313+24450)/2187937Stefano Morozzi09/2019
1387(2^624309+184590)/2187936Stefano Morozzi09/2019
1389(2^624307+152658)/2187935Stefano Morozzi09/2019
1388(2^624307+185978)/2187935Stefano Morozzi09/2019
1390(2^624303+40814)/2187934Stefano Morozzi09/2019
1391(2^624304+99238)/2187934Stefano Morozzi09/2019
13922^624077-112723187866Enzo Doria07/2014
13932^624008+1874941187846Enzo Doria06/2016
13942^623870+78679187804Enzo Doria05/2016
13952^623714-114035187757Enzo Doria11/2014
13962^623651-1834251187738Enzo Doria07/2015
1397(7*10^187645+53)/3187646Robert Price05/2018
13982^623146+1879609187586Enzo Doria09/2016
1399(401*10^187512+13)/9187514Robert Price09/2021
1400(5*10^187471+91)/3187472Robert Price04/2018
14012^622500+81931187392Enzo Doria08/2016
1402(13*10^187382-157)/9187383Robert Price05/2021
14032^622300-1861739187331Enzo Doria12/2015
1404(22*10^187317-91)/3187318Robert Price02/2022
1405(38*10^187281+349)/9187282Robert Price10/2018
14062^622052+76771187257Enzo Doria05/2016
14072^622005-24091187243Enzo Doria08/2013
14087*10^187205-57187206Robert Price06/2020
14092^621879-351787187205Enzo Doria07/2015
1410(5*10^187168-53)/3187169Robert Price09/2020
1411(23*10^187164-143)/3187165Robert Price12/2019
14122^621700+79411187151Enzo Doria06/2016
1413(7*10^187101+131)/3187102Robert Price06/2020
1414(2*10^187062-71)/3187062Robert Price12/2017
14152^620929-113203186919Enzo Doria07/2014
141610^186842+168223186843Patrick De Geest07/2018
141710^186842-8001186842Robert Price03/2018
14182^620347-1777186744Lelio R Paula07/2013
1419(11*10^186659+133)/9186660Robert Price04/2022
142011^179143-4170186559Enzo Doria12/2012
1421(5^266863+1)/6186529Paul Bourdelais07/2010
14222*10^186517+33186518Robert Price11/2021
14232^619297-2792353186427Enzo Doria02/2016
1424(49*10^186409+383)/9186410Robert Price04/2019
14252^618940-460139186320Enzo Doria06/2015
14262^618046+74179186051Enzo Doria04/2016
14273*10^186019+11186020Robert Price07/2018
1428(16*10^185978-19)/3185979Robert Price02/2019
14292*10^185930-3185931Robert Price07/2015
1430(82^97151+1)/83185928Paul Bourdelais10/2017
14314*10^185905+91185906Robert Price08/2018
1432(19*10^185873+131)/3185874Robert Price06/2020
1433(37*10^185811+377)/9185812Robert Price11/2018
14342^617250+9385185811Lelio R Paula07/2013
14352^617130+9185775Stefano Morozzi05/2021
143639^116749+2185756Robert Price04/2015
14372^616924-39719185713Enzo Doria09/2015
14382^616712+1867621185649Enzo Doria04/2016
1439(3^388897+2^388897)/5185551Jean-Louis Charton09/2011
14408*10^185529-67185530Robert Price08/2019
14414*10^185355+9185356Robert Price05/2015
1442(16*10^185347+89)/3185348Robert Price03/2021
14432^615622+76639185321Enzo Doria05/2016
14442^615591+1879223185312Enzo Doria08/2016
14452^615503+1876643185285Enzo Doria07/2016
14465^265007-4^265007185232Jean-Louis Charton02/2013
1447(4*10^185221-91)/3185222Robert Price03/2018
1448(7*10^185221+131)/3185222Robert Price06/2020
1449(62*10^185216-413)/9185217Robert Price09/2021
1450(232*10^185180+17)/3185182Robert Price04/2021
145156*10^185139-3185141Robert Price03/2020
1452(28*10^185105+47)/3185106Robert Price02/2021
14532^614783-2790097185069Enzo Doria12/2015
14542^614745-29323185057Enzo Doria07/2015
1455(((((((((((2^3+3)^3+30)^3+6)^3+80)^3+12)^3+450)^3+894)^3+3636)^3+70756)^3+97220)^3+66768)^3+300840185052Serge Batalov07/2013
1456(49*10^184993-67)/9184994Robert Price03/2019
1457(5*10^184954-191)/3184955Robert Price05/2021
1458(14*10^184950+211)/9184951Robert Price04/2018
14592^614315+81353184928Enzo Doria08/2016
14602^614294-1849961184921Enzo Doria08/2015
14612^614266+1877809184913Enzo Doria08/2016
1462(185*10^184878-11)/3184880Robert Price10/2020
146391*10^184867-9184869Robert Price06/2021
14642^613715-1860727184747Enzo Doria11/2015
1465(4*10^184730+89)/3184731Robert Price08/2021
14662*10^184723+41184724Robert Price05/2018
1467(49*10^184703+293)/9184704Robert Price03/2021
14682^613487-349987184678Enzo Doria07/2015
1469(95^93377+1)/96184672Paul Bourdelais11/2017
147014^161089-161089^14184629Serge Batalov05/2016
14712^613033-114621184542Enzo Doria05/2015
1472(9^193247+1)/10184404Paul Bourdelais02/2010
14732^612341-1604809184334Enzo Doria05/2015
1474(11*10^184308-161)/3184309Robert Price11/2021
1475(2^611999-1)/18464214225958267477777390354183184199Dario Alpern06/2017
1476(14*10^184150+37)/3184151Robert Price12/2018
14772^611731-4837184150Yves Minet08/2018
14783*10^184124-7184125Robert Price08/2015
14792^611628-24537184119Enzo Doria08/2013
14803*10^184110+13184111Robert Price07/2018
1481(194*10^184093+1)/3184095Robert Price01/2022
14822^611460+71881184068Enzo Doria04/2016
14834*10^184004-63184005Robert Price10/2018
14842^610982-1867301183924Enzo Doria03/2016
14853*10^183872-49183873Robert Price07/2018
14862^610597+1178897183809Enzo Doria05/2016
1487(8*10^183773-269)/9183773Robert Price09/2021
1488(65*10^183768-29)/9183769Robert Price01/2021
1489(17*10^183764+31)/3183765Robert Price01/2019
1490(28*10^183760-1)/9183761Serge Batalov10/2014
14912^610401+1277183750Lelio R Paula07/2013
14922^610356-1849019183736Enzo Doria08/2015
1493(63^102103+1)/64183717Paul Bourdelais10/2017
149423*10^183710-7183712Robert Price02/2020
1495(2^610289+1)/(3*528882550291)183704Gord Palameta08/2018
1496(4*10^183659+149)/9183659Robert Price04/2018
14972^609846-1834251183582Enzo Doria07/2015
149810^183546+1547323183547Patrick De Geest02/2021
150010^183546-800000001183546Robert Price09/2020
149910^183546-584297183546Patrick De Geest02/2021


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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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