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) !!!


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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 ?
125133^129128+129128^33196083Norbert Schneider06/2022
12526*10^196070+73196071Robert Price04/2019
12532^651218-1868201196037Enzo Doria04/2016
12542^651047-49687195985Enzo Doria10/2015
125510^195968-700001195968Robert Price08/2021
1256(29*10^195875-197)/3195876Robert Price08/2021
1257(25*10^195808-97)/9195809Robert Price01/2022
12582^650285-2785333195756Enzo Doria10/2015
1259(10^195732+7)/18089/49605893195721Alfred Reich08/2021
1260(69^106397-1)/68195647Paul Bourdelais10/2017
12612^649811+1877573195613Enzo Doria08/2016
12622^649662-170531195568Hans Havermann10/2018
12632^649586+182839195545Enzo Doria11/2016
12642^649537-1867363195531Enzo Doria04/2016
12652^649536-1861499195530Enzo Doria12/2015
1266(103*10^195478-1)/3195480Serge Batalov12/2014
12672^649102-59351195400Enzo Doria10/2015
1268(2*10^195399+529)/9195399Robert Price01/2018
1269(202*10^195383-13)/9195385Robert Price01/2020
12702^648988+1178971195365Enzo Doria06/2016
12712^648975-114319195361Enzo Doria02/2015
1272(11*10^195350-137)/9195351Robert Price01/2018
12732^648619-24835195254Enzo Doria09/2013
12745*10^195250-21195251Robert Price12/2021
1275(14*10^195234-83)/3195235Robert Price12/2018
12765*10^195221+81195222Robert Price03/2019
127710^195143-5001195143Robert Price12/2021
12782^648190-24737195125Enzo Doria09/2013
1279(57^111119+1)/58195110Paul Bourdelais10/2017
1280(29*10^195098-197)/3195099Robert Price08/2021
128110^195060+89701195061Patrick De Geest02/2021
128310^195060-40000000001195060Robert Price09/2020
128210^195060-110337195060Patrick De Geest02/2021
128456*10^195032-3195034Robert Price03/2020
128511^187185-90194934Enzo Doria09/2012
1286(86*10^194818-437)/9194819Robert Price03/2021
12872^647068+77281194787Enzo Doria05/2016
12882*10^194716-93194717Robert Price12/2021
128915^165559-14^165559194713Jean-Louis Charton03/2011
1290F(931517)194676Henri Lifchitz09/2008
12914*10^194668+49194669Robert Price01/2019
12922^646589+1179407194643Enzo Doria06/2016
12932^646289-114621194553Enzo Doria05/2015
12942^646236-39659194537Enzo Doria09/2015
1295(16*10^194536+53)/3194537Robert Price03/2019
12962^646161-59833194514Enzo Doria11/2015
1297(17*10^194502+31)/3194503Robert Price01/2019
1298(19*10^194428+287)/9194429Robert Price10/2021
12992*10^194413+3194414Robert Price07/2015
13002^645360-1848599194273Enzo Doria08/2015
1301(112*10^194150-1)/3194152Serge Batalov12/2014
13022*10^193981-43193982Robert Price04/2018
13032^644382+75169193979Enzo Doria04/2016
13042^644304-1861409193955Enzo Doria11/2015
1305(29*10^193950-23)/3193951Robert Price03/2022
13065*10^193907-9193908Robert Price05/2015
13072^644043+1876703193877Enzo Doria07/2016
13082*10^193841-63193842Robert Price01/2022
13092^643735+1879733193784Enzo Doria09/2016
1310(5^277183+1)/6193742Paul Bourdelais07/2010
13119*10^193712+71193713Robert Price08/2020
13122^643216-286565193628Enzo Doria07/2015
131310^193566+1126339193567Patrick De Geest09/2022
131510^193566-10000000001193566Robert Price04/2021
131410^193566-454041193566Patrick De Geest08/2021
13162^642888-24965193529Enzo Doria09/2013
13172^642448-114825193397Enzo Doria05/2015
13182^642437-1856623193393Enzo Doria10/2015
13192^642039-59797193273Enzo Doria11/2015
132010^193230+513861193231Patrick De Geest07/2018
132110^193230-8001193230Robert Price03/2018
1322(62*10^193225-233)/9193226Robert Price02/2022
13232^641692-286349193169Enzo Doria07/2015
13242^641690-24737193168Enzo Doria09/2013
13252^641514+1876549193115Enzo Doria07/2016
13262^640888-2785619192927Enzo Doria10/2015
13272^640874-2783741192923Enzo Doria09/2015
132810^192922+192207192923Patrick De Geest08/2021
132910^192922-7001192922Robert Price04/2021
13302^640854+25192917Stefano Morozzi05/2021
133134*10^192868-9192870Robert Price06/2020
1332(46*10^192841+683)/9192842Robert Price03/2019
13332^640181+467192714Lelio R Paula08/2013
13342^639536-1850249192520Enzo Doria08/2015
133540714<>40712<>...<>1086421357911<>...<>40711<>40713192464Hans Havermann12/2019
13365*10^192422-43192423Robert Price01/2019
13372^639110-2792441192392Enzo Doria02/2016
13382^638955-29827192345Enzo Doria08/2015
13392^638713-2784223192272Enzo Doria10/2015
1340(10^192216+7)/149192214Alfred Reich07/2021
13412^638490-113507192205Enzo Doria08/2014
13422^638189-39943192115Enzo Doria09/2015
13432^638110+1877119192091Enzo Doria07/2016
13442^638066-2785211192078Enzo Doria10/2015
1345(35*10^191973-341)/9191974Robert Price08/2021
1346(112*10^191900+17)/3191902Robert Price03/2020
13472^637475-115309191900Enzo Doria07/2015
1348(68*10^191754-113)/9191755Robert Price03/2021
13492^636930-11191736Stefano Morozzi07/2022
1350(47*10^191732+259)/9191733Robert Price03/2022
13512^636661+1876577191655Enzo Doria07/2016
1352(34^125101-1)/33191589Paul Bourdelais11/2017
13532^636177-1855123191509Enzo Doria09/2015
13542^636158-113627191503Enzo Doria08/2014
1355(37*25^136966+63)/4191472Curtis Bright05/2015
13562^636035+79823191466Enzo Doria06/2016
13572^636011-1860847191459Enzo Doria11/2015
13582^635926-1860611191433Enzo Doria11/2015
13593*10^191152-7191153Robert Price08/2015
13602^634883-1865677191119Enzo Doria02/2016
13612^634801+1871957191095Enzo Doria05/2016
1362(77*10^191080+157)/9191081Robert Price05/2022
1363(35*10^191073+1)/9191074Serge Batalov07/2010
13649*10^191018-41191019Robert Price08/2020
13652^634470-59861190995Enzo Doria11/2015
13662^634368-29519190964Enzo Doria08/2015
13672^634188-350609190910Enzo Doria06/2015
1368(65*10^190899+493)/9190900Robert Price08/2021
1369(62*10^190795-413)/9190796Robert Price09/2021
1370(26*10^190789-131)/3190790Robert Price10/2019
1371(13*10^190732-61)/3190733Robert Price11/2018
1372(7*10^190683+143)/3190684Robert Price03/2018
13732^633088-113879190579Enzo Doria10/2014
13742^633064+1874911190572Enzo Doria06/2016
1375(43*10^190547+83)/9190548Robert Price11/2018
137699*10^190543+7190545Robert Price05/2021
1377(299*10^190533+1)/3190535Robert Price04/2020
1378(1744*10^190519-1747)/3190522Robert Price12/2020
13792^632815-15190497Stefano Morozzi07/2022
13802^632795-351205190491Enzo Doria06/2015
1381(16*10^190420-19)/3190421Robert Price02/2019
1382(43*10^190351+101)/9190352Robert Price11/2018
13832^632156+78391190298Enzo Doria06/2016
138497*10^190295-3190297Robert Price05/2020
13852^632082-1851971190276Enzo Doria08/2015
13862^632020+1880311190257Enzo Doria09/2016
1387(5*10^190242-77)/9190242Robert Price04/2021
13887*10^190210+13190211Robert Price03/2021
13892^631637-462373190142Enzo Doria08/2015
13902*10^190126-21190127Robert Price09/2020
1391(28*10^190105+191)/3190106Robert Price02/2020
13922*10^190093+33190094Robert Price11/2021
1393(68*10^190053-113)/9190054Robert Price03/2021
13942^631122-39251189987Enzo Doria08/2015
1395(26*10^189928-89)/9189929Robert Price06/2018
13962^630839-97189902Yves Minet07/2017
139799*10^189876-7189878Robert Price07/2020
13982^630359+1788953189757Enzo Doria05/2016
13992^630228+1871971189718Enzo Doria05/2016
14002^630108+781189682Lelio R Paula08/2013
14012^629870-1867811189610Enzo Doria04/2016
1402(359^74189-1)/358189558Alexander Zhirkov11/2017
14032^629326+2792929189447Enzo Doria02/2016
14044*10^189401+13189402Robert Price02/2021
1405(10^189385-61)/3189385Serge Batalov12/2014
14062^629036+1874011189359Enzo Doria06/2016
14072^628930+80779189327Enzo Doria07/2016
1408(134*10^189309-11)/3189311Robert Price01/2022
14092^628582+1179439189223Enzo Doria06/2016
1410(44*10^188999-503)/9189000Robert Price12/2018
1411(16*10^188823+167)/3188824Robert Price06/2019
1412(10^188796+7)/4967/71933188788Alfred Reich08/2021
14132^627037-2785843188757Enzo Doria10/2015
1414(10^188566+7)/311640753181661188552Alfred Reich04/2022
1415(16*10^188457+161)/3188458Robert Price02/2019
1416L(901657)188436Renaud Lifchitz11/2008
1417(19*10^188375+137)/3188376Robert Price03/2022
14182^625651+74213188340Enzo Doria04/2016
14192^625584-460919188320Enzo Doria06/2015
1420(14*10^188218+139)/9188219Robert Price11/2021
1421(10^188164+359)/9188164Serge Batalov12/2014
14222^624481-113611187988Enzo Doria08/2014
1423(2^624389+125582)/2187960Stefano Morozzi09/2019
1424(2^624389+166982)/2187960Stefano Morozzi09/2019
1425(2^624389+179886)/2187960Stefano Morozzi09/2019
1426(2^624387+64466)/2187959Stefano Morozzi09/2019
1427(2^624378+112990)/2187957Stefano Morozzi09/2019
1428(2^624380+161986)/2187957Stefano Morozzi09/2019
1430(2^624376+55762)/2187956Stefano Morozzi09/2019
1429(2^624377+169506)/2187956Stefano Morozzi09/2019
1431(2^624355+80178)/2187950Stefano Morozzi09/2019
1432(2^624351+61350)/2187949Stefano Morozzi09/2019
1433(2^624341+63462)/2187946Stefano Morozzi09/2019
1434(2^624344+135990)/2187946Stefano Morozzi09/2019
1435(2^624344+183898)/2187946Stefano Morozzi09/2019
1437(2^624340+126982)/2187945Stefano Morozzi09/2019
1436(2^624338+196110)/2187945Stefano Morozzi09/2019
1438(2^624337+105162)/2187944Stefano Morozzi09/2019
1439(2^624333+44594)/2187943Stefano Morozzi09/2019
1440(2^624321+88742)/2187940Stefano Morozzi09/2019
1441(2^624324+135178)/2187940Stefano Morozzi09/2019
1442(2^624317+14186)/2187938Stefano Morozzi09/2019
1443(2^624313+24450)/2187937Stefano Morozzi09/2019
1444(2^624309+184590)/2187936Stefano Morozzi09/2019
1446(2^624307+152658)/2187935Stefano Morozzi09/2019
1445(2^624307+185978)/2187935Stefano Morozzi09/2019
1447(2^624303+40814)/2187934Stefano Morozzi09/2019
1448(2^624304+99238)/2187934Stefano Morozzi09/2019
14492^624077-112723187866Enzo Doria07/2014
14502^624008+1874941187846Enzo Doria06/2016
14512^623870+78679187804Enzo Doria05/2016
14522^623714-114035187757Enzo Doria11/2014
14532^623651-1834251187738Enzo Doria07/2015
1454(7*10^187645+53)/3187646Robert Price05/2018
14552^623146+1879609187586Enzo Doria09/2016
1456(401*10^187512+13)/9187514Robert Price09/2021
1457(5*10^187471+91)/3187472Robert Price04/2018
14582^622500+81931187392Enzo Doria08/2016
1459(13*10^187382-157)/9187383Robert Price05/2021
14602^622300-1861739187331Enzo Doria12/2015
1461(22*10^187317-91)/3187318Robert Price02/2022
1462(38*10^187281+349)/9187282Robert Price10/2018
14632^622052+76771187257Enzo Doria05/2016
14642^622005-24091187243Enzo Doria08/2013
14657*10^187205-57187206Robert Price06/2020
14662^621879-351787187205Enzo Doria07/2015
1467(5*10^187168-53)/3187169Robert Price09/2020
1468(23*10^187164-143)/3187165Robert Price12/2019
14692^621700+79411187151Enzo Doria06/2016
1470(7*10^187101+131)/3187102Robert Price06/2020
1471(2*10^187062-71)/3187062Robert Price12/2017
14722^620929-113203186919Enzo Doria07/2014
147310^186842+168223186843Patrick De Geest07/2018
147410^186842-8001186842Robert Price03/2018
14752^620347-1777186744Lelio R Paula07/2013
1476(11*10^186659+133)/9186660Robert Price04/2022
147711^179143-4170186559Enzo Doria12/2012
1478(5^266863+1)/6186529Paul Bourdelais07/2010
14792*10^186517+33186518Robert Price11/2021
14802^619297-2792353186427Enzo Doria02/2016
1481(49*10^186409+383)/9186410Robert Price04/2019
14822^618940-460139186320Enzo Doria06/2015
14832^618046+74179186051Enzo Doria04/2016
14843*10^186019+11186020Robert Price07/2018
1485(16*10^185978-19)/3185979Robert Price02/2019
14862*10^185930-3185931Robert Price07/2015
1487(82^97151+1)/83185928Paul Bourdelais10/2017
14884*10^185905+91185906Robert Price08/2018
1489(34*10^185902-601)/9185903Robert Price07/2022
1490(19*10^185873+131)/3185874Robert Price06/2020
1491(37*10^185811+377)/9185812Robert Price11/2018
14922^617250+9385185811Lelio R Paula07/2013
14932^617130+9185775Stefano Morozzi05/2021
149439^116749+2185756Robert Price04/2015
14952^616924-39719185713Enzo Doria09/2015
14962^616712+1867621185649Enzo Doria04/2016
1497(3^388897+2^388897)/5185551Jean-Louis Charton09/2011
14988*10^185529-67185530Robert Price08/2019
14994*10^185355+9185356Robert Price05/2015
1500(16*10^185347+89)/3185348Robert Price03/2021


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

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