PRP Records

Probable Primes Top 10000

(288949 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 ?
12512^635926-1860611191433Enzo Doria11/2015
12523*10^191152-7191153Robert Price08/2015
12532^634883-1865677191119Enzo Doria02/2016
12542^634801+1871957191095Enzo Doria05/2016
1255(35*10^191073+1)/9191074Serge Batalov07/2010
12569*10^191018-41191019Robert Price08/2020
12572^634470-59861190995Enzo Doria11/2015
12582^634368-29519190964Enzo Doria08/2015
12592^634188-350609190910Enzo Doria06/2015
1260(65*10^190899+493)/9190900Robert Price08/2021
1261(62*10^190795-413)/9190796Robert Price09/2021
1262(26*10^190789-131)/3190790Robert Price10/2019
1263(13*10^190732-61)/3190733Robert Price11/2018
1264(7*10^190683+143)/3190684Robert Price03/2018
12652^633088-113879190579Enzo Doria10/2014
12662^633064+1874911190572Enzo Doria06/2016
1267(43*10^190547+83)/9190548Robert Price11/2018
126899*10^190543+7190545Robert Price05/2021
1269(299*10^190533+1)/3190535Robert Price04/2020
1270(1744*10^190519-1747)/3190522Robert Price12/2020
12712^632795-351205190491Enzo Doria06/2015
1272(16*10^190420-19)/3190421Robert Price02/2019
1273(43*10^190351+101)/9190352Robert Price11/2018
12742^632156+78391190298Enzo Doria06/2016
127597*10^190295-3190297Robert Price05/2020
12762^632082-1851971190276Enzo Doria08/2015
12772^632020+1880311190257Enzo Doria09/2016
1278(5*10^190242-77)/9190242Robert Price04/2021
12797*10^190210+13190211Robert Price03/2021
12802^631637-462373190142Enzo Doria08/2015
12812*10^190126-21190127Robert Price09/2020
1282(28*10^190105+191)/3190106Robert Price02/2020
12832*10^190093+33190094Robert Price11/2021
1284(68*10^190053-113)/9190054Robert Price03/2021
12852^631122-39251189987Enzo Doria08/2015
1286(26*10^189928-89)/9189929Robert Price06/2018
12872^630839-97189902Yves Minet07/2017
128899*10^189876-7189878Robert Price07/2020
12892^630359+1788953189757Enzo Doria05/2016
12902^630228+1871971189718Enzo Doria05/2016
12912^630108+781189682Lelio R Paula08/2013
12922^629870-1867811189610Enzo Doria04/2016
1293(359^74189-1)/358189558Alexander Zhirkov11/2017
12942^629326+2792929189447Enzo Doria02/2016
12954*10^189401+13189402Robert Price02/2021
1296(10^189385-61)/3189385Serge Batalov12/2014
12972^629036+1874011189359Enzo Doria06/2016
12982^628930+80779189327Enzo Doria07/2016
1299(134*10^189309-11)/3189311Robert Price01/2022
13002^628582+1179439189223Enzo Doria06/2016
1301(44*10^188999-503)/9189000Robert Price12/2018
1302(16*10^188823+167)/3188824Robert Price06/2019
1303(10^188796+7)/4967/71933188788Alfred Reich08/2021
13042^627037-2785843188757Enzo Doria10/2015
1305(16*10^188457+161)/3188458Robert Price02/2019
1306L(901657)188436Renaud Lifchitz11/2008
13072^625651+74213188340Enzo Doria04/2016
13082^625584-460919188320Enzo Doria06/2015
1309(14*10^188218+139)/9188219Robert Price11/2021
1310(10^188164+359)/9188164Serge Batalov12/2014
13112^624481-113611187988Enzo Doria08/2014
1314(2^624389+125582)/2187960Stefano Morozzi09/2019
1312(2^624389+166982)/2187960Stefano Morozzi09/2019
1313(2^624389+179886)/2187960Stefano Morozzi09/2019
1315(2^624387+64466)/2187959Stefano Morozzi09/2019
1316(2^624378+112990)/2187957Stefano Morozzi09/2019
1317(2^624380+161986)/2187957Stefano Morozzi09/2019
1319(2^624376+55762)/2187956Stefano Morozzi09/2019
1318(2^624377+169506)/2187956Stefano Morozzi09/2019
1320(2^624355+80178)/2187950Stefano Morozzi09/2019
1321(2^624351+61350)/2187949Stefano Morozzi09/2019
1322(2^624341+63462)/2187946Stefano Morozzi09/2019
1323(2^624344+135990)/2187946Stefano Morozzi09/2019
1324(2^624344+183898)/2187946Stefano Morozzi09/2019
1326(2^624340+126982)/2187945Stefano Morozzi09/2019
1325(2^624338+196110)/2187945Stefano Morozzi09/2019
1327(2^624337+105162)/2187944Stefano Morozzi09/2019
1328(2^624333+44594)/2187943Stefano Morozzi09/2019
1329(2^624321+88742)/2187940Stefano Morozzi09/2019
1330(2^624324+135178)/2187940Stefano Morozzi09/2019
1331(2^624317+14186)/2187938Stefano Morozzi09/2019
1332(2^624313+24450)/2187937Stefano Morozzi09/2019
1333(2^624309+184590)/2187936Stefano Morozzi09/2019
1335(2^624307+152658)/2187935Stefano Morozzi09/2019
1334(2^624307+185978)/2187935Stefano Morozzi09/2019
1336(2^624303+40814)/2187934Stefano Morozzi09/2019
1337(2^624304+99238)/2187934Stefano Morozzi09/2019
13382^624077-112723187866Enzo Doria07/2014
13392^624008+1874941187846Enzo Doria06/2016
13402^623870+78679187804Enzo Doria05/2016
13412^623714-114035187757Enzo Doria11/2014
13422^623651-1834251187738Enzo Doria07/2015
1343(7*10^187645+53)/3187646Robert Price05/2018
13442^623146+1879609187586Enzo Doria09/2016
1345(401*10^187512+13)/9187514Robert Price09/2021
1346(5*10^187471+91)/3187472Robert Price04/2018
13472^622500+81931187392Enzo Doria08/2016
1348(13*10^187382-157)/9187383Robert Price05/2021
13492^622300-1861739187331Enzo Doria12/2015
1350(38*10^187281+349)/9187282Robert Price10/2018
13512^622052+76771187257Enzo Doria05/2016
13522^622005-24091187243Enzo Doria08/2013
13537*10^187205-57187206Robert Price06/2020
13542^621879-351787187205Enzo Doria07/2015
1355(5*10^187168-53)/3187169Robert Price09/2020
1356(23*10^187164-143)/3187165Robert Price12/2019
13572^621700+79411187151Enzo Doria06/2016
1358(7*10^187101+131)/3187102Robert Price06/2020
1359(2*10^187062-71)/3187062Robert Price12/2017
13602^620929-113203186919Enzo Doria07/2014
136110^186842+168223186843Patrick De Geest07/2018
136210^186842-8001186842Robert Price03/2018
13632^620347-1777186744Lelio R Paula07/2013
136411^179143-4170186559Enzo Doria12/2012
1365(5^266863+1)/6186529Paul Bourdelais07/2010
13662*10^186517+33186518Robert Price11/2021
13672^619297-2792353186427Enzo Doria02/2016
1368(49*10^186409+383)/9186410Robert Price04/2019
13692^618940-460139186320Enzo Doria06/2015
13702^618046+74179186051Enzo Doria04/2016
13713*10^186019+11186020Robert Price07/2018
1372(16*10^185978-19)/3185979Robert Price02/2019
13732*10^185930-3185931Robert Price07/2015
1374(82^97151+1)/83185928Paul Bourdelais10/2017
13754*10^185905+91185906Robert Price08/2018
1376(19*10^185873+131)/3185874Robert Price06/2020
1377(37*10^185811+377)/9185812Robert Price11/2018
13782^617250+9385185811Lelio R Paula07/2013
13792^617130+9185775Stefano Morozzi05/2021
138039^116749+2185756Robert Price04/2015
13812^616924-39719185713Enzo Doria09/2015
13822^616712+1867621185649Enzo Doria04/2016
1383(3^388897+2^388897)/5185551Jean-Louis Charton09/2011
13848*10^185529-67185530Robert Price08/2019
13854*10^185355+9185356Robert Price05/2015
1386(16*10^185347+89)/3185348Robert Price03/2021
13872^615622+76639185321Enzo Doria05/2016
13882^615591+1879223185312Enzo Doria08/2016
13892^615503+1876643185285Enzo Doria07/2016
13905^265007-4^265007185232Jean-Louis Charton02/2013
1391(4*10^185221-91)/3185222Robert Price03/2018
1392(7*10^185221+131)/3185222Robert Price06/2020
1393(62*10^185216-413)/9185217Robert Price09/2021
1394(232*10^185180+17)/3185182Robert Price04/2021
139556*10^185139-3185141Robert Price03/2020
1396(28*10^185105+47)/3185106Robert Price02/2021
13972^614783-2790097185069Enzo Doria12/2015
13982^614745-29323185057Enzo Doria07/2015
1399(((((((((((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
1400(49*10^184993-67)/9184994Robert Price03/2019
1401(5*10^184954-191)/3184955Robert Price05/2021
1402(14*10^184950+211)/9184951Robert Price04/2018
14032^614315+81353184928Enzo Doria08/2016
14042^614294-1849961184921Enzo Doria08/2015
14052^614266+1877809184913Enzo Doria08/2016
1406(185*10^184878-11)/3184880Robert Price10/2020
140791*10^184867-9184869Robert Price06/2021
14082^613715-1860727184747Enzo Doria11/2015
1409(4*10^184730+89)/3184731Robert Price08/2021
14102*10^184723+41184724Robert Price05/2018
1411(49*10^184703+293)/9184704Robert Price03/2021
14122^613487-349987184678Enzo Doria07/2015
1413(95^93377+1)/96184672Paul Bourdelais11/2017
141414^161089-161089^14184629Serge Batalov05/2016
14152^613033-114621184542Enzo Doria05/2015
1416(9^193247+1)/10184404Paul Bourdelais02/2010
14172^612341-1604809184334Enzo Doria05/2015
1418(11*10^184308-161)/3184309Robert Price11/2021
1419(2^611999-1)/18464214225958267477777390354183184199Dario Alpern06/2017
1420(14*10^184150+37)/3184151Robert Price12/2018
14212^611731-4837184150Yves Minet08/2018
14223*10^184124-7184125Robert Price08/2015
14232^611628-24537184119Enzo Doria08/2013
14243*10^184110+13184111Robert Price07/2018
1425(194*10^184093+1)/3184095Robert Price01/2022
14262^611460+71881184068Enzo Doria04/2016
14274*10^184004-63184005Robert Price10/2018
14282^610982-1867301183924Enzo Doria03/2016
14293*10^183872-49183873Robert Price07/2018
14302^610597+1178897183809Enzo Doria05/2016
1431(8*10^183773-269)/9183773Robert Price09/2021
1432(65*10^183768-29)/9183769Robert Price01/2021
1433(17*10^183764+31)/3183765Robert Price01/2019
1434(28*10^183760-1)/9183761Serge Batalov10/2014
14352^610401+1277183750Lelio R Paula07/2013
14362^610356-1849019183736Enzo Doria08/2015
1437(63^102103+1)/64183717Paul Bourdelais10/2017
143823*10^183710-7183712Robert Price02/2020
1439(2^610289+1)/(3*528882550291)183704Gord Palameta08/2018
1440(4*10^183659+149)/9183659Robert Price04/2018
14412^609846-1834251183582Enzo Doria07/2015
144210^183546+1547323183547Patrick De Geest02/2021
144410^183546-800000001183546Robert Price09/2020
144310^183546-584297183546Patrick De Geest02/2021
1445(23*10^183477-71)/3183478Robert Price07/2020
144611^176176-240183469Enzo Doria11/2012
1447(41^113749+1)/42183451Paul Bourdelais11/2017
14486*10^183429+53183430Robert Price05/2020
1449(28*10^183403+191)/3183404Robert Price02/2020
1450(101^91463+1)/102183320Paul Bourdelais11/2017
14512^608965-113989183317Enzo Doria10/2014
1452A005165(43592)183312Serge Batalov07/2017
1453(61*10^183294+119)/9183295Robert Price05/2019
14542^608814-461261183272Enzo Doria06/2015
1455(163*10^183227-1)/9183229Serge Batalov12/2014
14562^608541-608541^2183190Henri Lifchitz02/2018
14572^608293+143807183115Enzo Doria10/2016
14582^608164-462419183076Enzo Doria08/2015
14592^607950-1862303183012Enzo Doria12/2015
1460(46*10^182896+683)/9182897Robert Price03/2019
1461(2*10^182787+73)/3182787Robert Price09/2020
14622^607101+1871987182756Enzo Doria05/2016
14632^606869-69175182686Enzo Doria11/2015
1464(23*10^182666-71)/3182667Robert Price07/2020
14653*10^182614-11182615Robert Price07/2018
14662^606560-357182593Enzo Doria05/2014
146766*10^182420+7182422Robert Price07/2020
14682^605687+1866983182330Enzo Doria03/2016
14692^605655-114445182321Enzo Doria02/2015
147094*10^182291-3182293Robert Price05/2020
1471(20^140053+1)/21182212Paul Bourdelais04/2010
1472(14*10^182177-221)/9182178Robert Price04/2018
14732^605174-112751182176Enzo Doria06/2014
14742^604761+1874507182052Enzo Doria06/2016
14752^604705+1871957182035Enzo Doria05/2016
1476(14*10^182000+229)/9182001Robert Price03/2018
1477(10^181996+41)/3181996Robert Price12/2017
1478(5*10^181950-101)/3181951Robert Price04/2018
14792^603915+75233181797Enzo Doria04/2016
1480(10^181710+7)/563747/2019847181698Alfred Reich08/2021
14817*10^181594-57181595Robert Price06/2020
14828*10^181580+29181581Robert Price11/2021
1483(194*10^181369-11)/3181371Robert Price09/2020
148411^174145-360181354Enzo Doria10/2012
14852^602351-396765181326Enzo Doria08/2013
14866*10^181306+17181307Robert Price04/2019
1487(286*10^181220-1)/3181222Robert Price11/2020
14882^601957-113833181208Enzo Doria09/2014
148966^99581-65^99581181193Robert Price09/2013
149010^181182+383973181183Patrick De Geest04/2016
149110^181182-21181182Serge Batalov12/2014
1492(5*10^181127-29)/3181128Robert Price03/2018
14932^601521-29143181076Enzo Doria07/2015
14942^601442-2797811181053Enzo Doria04/2016
149544*10^181029+3181031Robert Price04/2020
14965*10^180992-9180993Robert Price05/2015
149710^180979+79477180980Patrick De Geest04/2016
149810^180979+107739180980Patrick De Geest04/2016
149910^180979-11180979Serge Batalov12/2014
15002^601023-113851180926Enzo Doria10/2014


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: January, 19 2022 17:15 (Time in France)

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