PRP Records

Probable Primes Top 10000

(288515 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 ?
12517*10^190210+13190211Robert Price03/2021
12522^631637-462373190142Enzo Doria08/2015
12532*10^190126-21190127Robert Price09/2020
1254(28*10^190105+191)/3190106Robert Price02/2020
12552*10^190093+33190094Robert Price11/2021
1256(68*10^190053-113)/9190054Robert Price03/2021
12572^631122-39251189987Enzo Doria08/2015
1258(26*10^189928-89)/9189929Robert Price06/2018
12592^630839-97189902Yves Minet07/2017
126099*10^189876-7189878Robert Price07/2020
12612^630359+1788953189757Enzo Doria05/2016
12622^630228+1871971189718Enzo Doria05/2016
12632^630108+781189682Lelio R Paula08/2013
12642^629870-1867811189610Enzo Doria04/2016
1265(359^74189-1)/358189558Alexander Zhirkov11/2017
12662^629326+2792929189447Enzo Doria02/2016
12674*10^189401+13189402Robert Price02/2021
1268(10^189385-61)/3189385Serge Batalov12/2014
12692^629036+1874011189359Enzo Doria06/2016
12702^628930+80779189327Enzo Doria07/2016
12712^628582+1179439189223Enzo Doria06/2016
1272(44*10^188999-503)/9189000Robert Price12/2018
1273(16*10^188823+167)/3188824Robert Price06/2019
1274(10^188796+7)/4967/71933188788Alfred Reich08/2021
12752^627037-2785843188757Enzo Doria10/2015
1276(16*10^188457+161)/3188458Robert Price02/2019
1277L(901657)188436Renaud Lifchitz11/2008
12782^625651+74213188340Enzo Doria04/2016
12792^625584-460919188320Enzo Doria06/2015
1280(14*10^188218+139)/9188219Robert Price11/2021
1281(10^188164+359)/9188164Serge Batalov12/2014
12822^624481-113611187988Enzo Doria08/2014
1283(2^624389+125582)/2187960Stefano Morozzi09/2019
1284(2^624389+166982)/2187960Stefano Morozzi09/2019
1285(2^624389+179886)/2187960Stefano Morozzi09/2019
1286(2^624387+64466)/2187959Stefano Morozzi09/2019
1287(2^624378+112990)/2187957Stefano Morozzi09/2019
1288(2^624380+161986)/2187957Stefano Morozzi09/2019
1290(2^624376+55762)/2187956Stefano Morozzi09/2019
1289(2^624377+169506)/2187956Stefano Morozzi09/2019
1291(2^624355+80178)/2187950Stefano Morozzi09/2019
1292(2^624351+61350)/2187949Stefano Morozzi09/2019
1293(2^624341+63462)/2187946Stefano Morozzi09/2019
1294(2^624344+135990)/2187946Stefano Morozzi09/2019
1295(2^624344+183898)/2187946Stefano Morozzi09/2019
1297(2^624340+126982)/2187945Stefano Morozzi09/2019
1296(2^624338+196110)/2187945Stefano Morozzi09/2019
1298(2^624337+105162)/2187944Stefano Morozzi09/2019
1299(2^624333+44594)/2187943Stefano Morozzi09/2019
1300(2^624321+88742)/2187940Stefano Morozzi09/2019
1301(2^624324+135178)/2187940Stefano Morozzi09/2019
1302(2^624317+14186)/2187938Stefano Morozzi09/2019
1303(2^624313+24450)/2187937Stefano Morozzi09/2019
1304(2^624309+184590)/2187936Stefano Morozzi09/2019
1306(2^624307+152658)/2187935Stefano Morozzi09/2019
1305(2^624307+185978)/2187935Stefano Morozzi09/2019
1307(2^624303+40814)/2187934Stefano Morozzi09/2019
1308(2^624304+99238)/2187934Stefano Morozzi09/2019
13092^624077-112723187866Enzo Doria07/2014
13102^624008+1874941187846Enzo Doria06/2016
13112^623870+78679187804Enzo Doria05/2016
13122^623714-114035187757Enzo Doria11/2014
13132^623651-1834251187738Enzo Doria07/2015
1314(7*10^187645+53)/3187646Robert Price05/2018
13152^623146+1879609187586Enzo Doria09/2016
1316(401*10^187512+13)/9187514Robert Price09/2021
1317(5*10^187471+91)/3187472Robert Price04/2018
13182^622500+81931187392Enzo Doria08/2016
1319(13*10^187382-157)/9187383Robert Price05/2021
13202^622300-1861739187331Enzo Doria12/2015
1321(38*10^187281+349)/9187282Robert Price10/2018
13222^622052+76771187257Enzo Doria05/2016
13232^622005-24091187243Enzo Doria08/2013
13247*10^187205-57187206Robert Price06/2020
13252^621879-351787187205Enzo Doria07/2015
1326(5*10^187168-53)/3187169Robert Price09/2020
1327(23*10^187164-143)/3187165Robert Price12/2019
13282^621700+79411187151Enzo Doria06/2016
1329(7*10^187101+131)/3187102Robert Price06/2020
1330(2*10^187062-71)/3187062Robert Price12/2017
13312^620929-113203186919Enzo Doria07/2014
133210^186842+168223186843Patrick De Geest07/2018
133310^186842-8001186842Robert Price03/2018
13342^620347-1777186744Lelio R Paula07/2013
133511^179143-4170186559Enzo Doria12/2012
1336(5^266863+1)/6186529Paul Bourdelais07/2010
13372*10^186517+33186518Robert Price11/2021
13382^619297-2792353186427Enzo Doria02/2016
1339(49*10^186409+383)/9186410Robert Price04/2019
13402^618940-460139186320Enzo Doria06/2015
13412^618046+74179186051Enzo Doria04/2016
13423*10^186019+11186020Robert Price07/2018
1343(16*10^185978-19)/3185979Robert Price02/2019
13442*10^185930-3185931Robert Price07/2015
1345(82^97151+1)/83185928Paul Bourdelais10/2017
13464*10^185905+91185906Robert Price08/2018
1347(19*10^185873+131)/3185874Robert Price06/2020
1348(37*10^185811+377)/9185812Robert Price11/2018
13492^617250+9385185811Lelio R Paula07/2013
13502^617130+9185775Stefano Morozzi05/2021
135139^116749+2185756Robert Price04/2015
13522^616924-39719185713Enzo Doria09/2015
13532^616712+1867621185649Enzo Doria04/2016
1354(3^388897+2^388897)/5185551Jean-Louis Charton09/2011
13558*10^185529-67185530Robert Price08/2019
13564*10^185355+9185356Robert Price05/2015
1357(16*10^185347+89)/3185348Robert Price03/2021
13582^615622+76639185321Enzo Doria05/2016
13592^615591+1879223185312Enzo Doria08/2016
13602^615503+1876643185285Enzo Doria07/2016
13615^265007-4^265007185232Jean-Louis Charton02/2013
1363(4*10^185221-91)/3185222Robert Price03/2018
1362(7*10^185221+131)/3185222Robert Price06/2020
1364(62*10^185216-413)/9185217Robert Price09/2021
1365(232*10^185180+17)/3185182Robert Price04/2021
136656*10^185139-3185141Robert Price03/2020
1367(28*10^185105+47)/3185106Robert Price02/2021
13682^614783-2790097185069Enzo Doria12/2015
13692^614745-29323185057Enzo Doria07/2015
1370(((((((((((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
1371(49*10^184993-67)/9184994Robert Price03/2019
1372(5*10^184954-191)/3184955Robert Price05/2021
1373(14*10^184950+211)/9184951Robert Price04/2018
13742^614315+81353184928Enzo Doria08/2016
13752^614294-1849961184921Enzo Doria08/2015
13762^614266+1877809184913Enzo Doria08/2016
1377(185*10^184878-11)/3184880Robert Price10/2020
137891*10^184867-9184869Robert Price06/2021
13792^613715-1860727184747Enzo Doria11/2015
1380(4*10^184730+89)/3184731Robert Price08/2021
13812*10^184723+41184724Robert Price05/2018
1382(49*10^184703+293)/9184704Robert Price03/2021
13832^613487-349987184678Enzo Doria07/2015
1384(95^93377+1)/96184672Paul Bourdelais11/2017
138514^161089-161089^14184629Serge Batalov05/2016
13862^613033-114621184542Enzo Doria05/2015
1387(9^193247+1)/10184404Paul Bourdelais02/2010
13882^612341-1604809184334Enzo Doria05/2015
1389(11*10^184308-161)/3184309Robert Price11/2021
1390(2^611999-1)/18464214225958267477777390354183184199Dario Alpern06/2017
1391(14*10^184150+37)/3184151Robert Price12/2018
13922^611731-4837184150Yves Minet08/2018
13933*10^184124-7184125Robert Price08/2015
13942^611628-24537184119Enzo Doria08/2013
13953*10^184110+13184111Robert Price07/2018
13962^611460+71881184068Enzo Doria04/2016
13974*10^184004-63184005Robert Price10/2018
13982^610982-1867301183924Enzo Doria03/2016
13993*10^183872-49183873Robert Price07/2018
14002^610597+1178897183809Enzo Doria05/2016
1401(8*10^183773-269)/9183773Robert Price09/2021
1402(65*10^183768-29)/9183769Robert Price01/2021
1403(17*10^183764+31)/3183765Robert Price01/2019
1404(28*10^183760-1)/9183761Serge Batalov10/2014
14052^610401+1277183750Lelio R Paula07/2013
14062^610356-1849019183736Enzo Doria08/2015
1407(63^102103+1)/64183717Paul Bourdelais10/2017
140823*10^183710-7183712Robert Price02/2020
1409(2^610289+1)/(3*528882550291)183704Gord Palameta08/2018
1410(4*10^183659+149)/9183659Robert Price04/2018
14112^609846-1834251183582Enzo Doria07/2015
141210^183546+1547323183547Patrick De Geest02/2021
141410^183546-800000001183546Robert Price09/2020
141310^183546-584297183546Patrick De Geest02/2021
1415(23*10^183477-71)/3183478Robert Price07/2020
141611^176176-240183469Enzo Doria11/2012
1417(41^113749+1)/42183451Paul Bourdelais11/2017
14186*10^183429+53183430Robert Price05/2020
1419(28*10^183403+191)/3183404Robert Price02/2020
1420(101^91463+1)/102183320Paul Bourdelais11/2017
14212^608965-113989183317Enzo Doria10/2014
1422A005165(43592)183312Serge Batalov07/2017
1423(61*10^183294+119)/9183295Robert Price05/2019
14242^608814-461261183272Enzo Doria06/2015
1425(163*10^183227-1)/9183229Serge Batalov12/2014
14262^608541-608541^2183190Henri Lifchitz02/2018
14272^608293+143807183115Enzo Doria10/2016
14282^608164-462419183076Enzo Doria08/2015
14292^607950-1862303183012Enzo Doria12/2015
1430(46*10^182896+683)/9182897Robert Price03/2019
1431(2*10^182787+73)/3182787Robert Price09/2020
14322^607101+1871987182756Enzo Doria05/2016
14332^606869-69175182686Enzo Doria11/2015
1434(23*10^182666-71)/3182667Robert Price07/2020
14353*10^182614-11182615Robert Price07/2018
14362^606560-357182593Enzo Doria05/2014
143766*10^182420+7182422Robert Price07/2020
14382^605687+1866983182330Enzo Doria03/2016
14392^605655-114445182321Enzo Doria02/2015
144094*10^182291-3182293Robert Price05/2020
1441(20^140053+1)/21182212Paul Bourdelais04/2010
1442(14*10^182177-221)/9182178Robert Price04/2018
14432^605174-112751182176Enzo Doria06/2014
14442^604761+1874507182052Enzo Doria06/2016
14452^604705+1871957182035Enzo Doria05/2016
1446(14*10^182000+229)/9182001Robert Price03/2018
1447(10^181996+41)/3181996Robert Price12/2017
1448(5*10^181950-101)/3181951Robert Price04/2018
14492^603915+75233181797Enzo Doria04/2016
1450(10^181710+7)/563747/2019847181698Alfred Reich08/2021
14517*10^181594-57181595Robert Price06/2020
14528*10^181580+29181581Robert Price11/2021
1453(194*10^181369-11)/3181371Robert Price09/2020
145411^174145-360181354Enzo Doria10/2012
14552^602351-396765181326Enzo Doria08/2013
14566*10^181306+17181307Robert Price04/2019
1457(286*10^181220-1)/3181222Robert Price11/2020
14582^601957-113833181208Enzo Doria09/2014
145966^99581-65^99581181193Robert Price09/2013
146010^181182+383973181183Patrick De Geest04/2016
146110^181182-21181182Serge Batalov12/2014
1462(5*10^181127-29)/3181128Robert Price03/2018
14632^601521-29143181076Enzo Doria07/2015
14642^601442-2797811181053Enzo Doria04/2016
146544*10^181029+3181031Robert Price04/2020
14665*10^180992-9180993Robert Price05/2015
146710^180979+79477180980Patrick De Geest04/2016
146810^180979+107739180980Patrick De Geest04/2016
146910^180979-11180979Serge Batalov12/2014
14702^601023-113851180926Enzo Doria10/2014
1471(23*10^180862-143)/3180863Robert Price12/2019
14723*10^180852+29180853Robert Price05/2018
1473(79*10^180710-1)/3180712Robert Price02/2020
14742^600300-1852559180709Enzo Doria08/2015
1475(2*10^180706-77)/3180706Robert Price02/2021
1476(10^180689+71)/9180689Serge Batalov07/2015
14772^600209+76487180681Enzo Doria05/2016
1478(8*10^180536-269)/9180536Robert Price09/2021
14792^599702-369885180529Enzo Doria11/2013
1480Tau(643^11688)180524Nik Lygeros / Olivier Rozier05/2015
1481(2951*29^123418-3)/4180490Curtis Bright05/2015
1482(29*10^180432-17)/3180433Robert Price09/2019
14834*10^180360+93180361Robert Price08/2018
14842^598942+80779180300Enzo Doria07/2016
1485(38*10^180296+403)/9180297Robert Price10/2018
14862^598591-1844797180194Enzo Doria06/2015
1487(100^90089+1)/101180176Paul Bourdelais08/2017
1488(29*10^180072+691)/9180073Robert Price08/2021
14896*10^179970+91179971Robert Price05/2019
1490(4*10^179963-79)/3179964Robert Price02/2018
1491(403*10^179944-43)/9179946Robert Price06/2021
1492Gamma-Prime(179849)179849Eric W. Weisstein06/2011
14932^597424-1859729179843Enzo Doria11/2015
1494Phi(180683,10)179760Maksym Voznyy09/2015
1495(10^180683-1)*9/(10^643-1)/(10^281-1)179760Robert Price07/2016
1496(3^376657-2^376657)/22301107657179701Mike Oakes04/2017
1497(29*10^179697+223)/9179698Robert Price09/2018
14982^596884+73179680Stefano Morozzi04/2021
1499(68*10^179656+7)/3179658Robert Price01/2020
1500(10^179643+173)/3179643Robert Price05/2021


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: December, 01 2021 22:29 (Time in France)

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