PRP Records

Probable Primes Top 10000

(259919 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 ?
15012^526658-3551158540Yves Minet03/2017
15027*10^158465-11158466Robert Price06/2019
15032^526375-23115158455Enzo Doria08/2013
1504(77*10^158407-293)/9158408Robert Price09/2019
15052^526028-112793158351Enzo Doria07/2014
15062^525690-9221158249Lelio R Paula01/2013
15072*10^158242-7158243Robert Price10/2015
15082^525667-525667^2158242Henri Lifchitz12/2017
15092^525186-1857431158097Enzo Doria10/2015
15102^524515-23245157895Enzo Doria08/2013
15112^524499-109087157890Enzo Doria04/2014
15122^18067*(2^506221+1)-1157827Makoto Morimoto05/2014
15132^524288+189093157827Makoto Morimoto01/2016
15142^524288-164073157827Matthias Baur03/2020
1515(2^(2^19)-9333)/(19*23*463*1213*31973)157814Makoto Morimoto09/2017
1516(10^157792+359)/9157792Serge Batalov12/2014
15172^523924+1876591157717Enzo Doria07/2016
1518(17*10^157705+67)/3157706Robert Price01/2019
1519(46^94841+1)/47157696Robert Price01/2014
15202^523774+77839157672Enzo Doria05/2016
15212^523587+2799143157616Enzo Doria04/2016
15222^523371+1872113157551Enzo Doria05/2016
1523(82*10^157319+449)/9157320Robert Price11/2019
15242^522535-351457157299Enzo Doria07/2015
15252^522226+2799079157206Enzo Doria04/2016
15262^522134-1849451157178Enzo Doria08/2015
15274*10^157150+93157151Robert Price08/2018
15282^521401-29593156958Enzo Doria08/2015
15297*10^156956+87156957Robert Price07/2019
15302^521348-23397156942Enzo Doria08/2013
1531(98^78797+1)/99156901Paul Bourdelais12/2017
153265^86522+64156857Lelio R Paula04/2016
15338^173687-7^173687156855Jean-Louis Charton09/2004
15342^520977-1858183156830Enzo Doria10/2015
1535(8*10^156718-101)/3156719Robert Price08/2018
15362^520314-1849481156631Enzo Doria08/2015
1537(13*10^156522+89)/3156523Robert Price09/2018
1538(2^(6*86654+1)-5)/3156513Kevin Acres12/2013
15393*10^156435-97156436Robert Price07/2018
1540(8*10^156371-77)/3156372Robert Price07/2018
154153^90679-52^90679156356Robert Price01/2013
15422^519106-59141156267Enzo Doria10/2015
15432^519053+6077156251Enzo Doria02/2016
15442^518968-1860989156225Enzo Doria11/2015
1545(25*10^156221-7)/9156222Robert Price05/2018
15462^518931-2782297156214Enzo Doria09/2015
15472^518608-2939156117Yves Minet09/2014
154810*27^109005+697156027Curtis Bright05/2015
15492^517967-113485155924Enzo Doria08/2014
15502^517698+4429155843Lelio R Paula01/2013
15512^517543-113257155796Enzo Doria07/2014
1552(14*10^155740-143)/3155741Robert Price11/2018
155331^104309-30^104309155563Henri Lifchitz08/2013
15542^516742-39851155555Enzo Doria09/2015
15557*10^155496+61155497Robert Price08/2019
15562^516440+1878421155464Enzo Doria08/2016
15572^515863-1867237155291Enzo Doria03/2016
15582^515786-461861155268Enzo Doria07/2015
15592^515644-113247155225Enzo Doria07/2014
1560(7*10^155203+107)/3155204Robert Price02/2018
1561(17*10^155133-89)/9155134Robert Price07/2018
15622^515227-114997155099Enzo Doria06/2015
1564EPrime(155025)155025Eric W. Weisstein10/2010
1563(14*10^155024-221)/9155025Robert Price04/2018
1565(4*10^155022+173)/3155023Robert Price02/2018
1566(115*10^154869-1)/3154871Serge Batalov12/2014
1567(86*10^154853-221)/9154854Robert Price09/2019
15682^514361+78167154839Enzo Doria05/2016
15692^514281-115033154815Enzo Doria06/2015
15702^514194-3311154788Yves Minet12/2014
1571(14*10^154773+37)/3154774Robert Price12/2018
15722^513437+1879337154560Enzo Doria09/2016
15732^513306-113201154521Enzo Doria07/2014
1574(10^154494-13)/3154494Robert Price12/2017
15752^513042-113787154442Enzo Doria09/2014
1576(151*10^154434-7)/9154436Robert Price01/2020
15772^512628-114053154317Enzo Doria11/2014
15782^512529-49783154287Enzo Doria10/2015
1579(355573#+6991)/(6991*2031599)154285Makoto Morimoto06/2019
15802^512315-115297154223Enzo Doria06/2015
15812^512168+79561154178Enzo Doria06/2016
15824*10^154078-57154079Robert Price10/2018
1583(355049#+1859)/(11*13*10148891*62587751)154051Makoto Morimoto06/2019
15842^511658-114371154025Enzo Doria02/2015
1585(57^87719+1)/58154022Paul Bourdelais11/2017
15862^511580-1846679154001Enzo Doria07/2015
15872^511541-113713153990Enzo Doria09/2014
15882^511077-112723153850Enzo Doria06/2014
158969^83653-68^83653153826Robert Price12/2013
15902^510963-113707153816Enzo Doria09/2014
1591(154*10^153810-1)/9153812Serge Batalov12/2014
1592(181*25^109991-75077)/8153763Curtis Bright05/2015
15932*10^153746-3153747Robert Price07/2015
15942^510626+1179379153714Enzo Doria05/2016
1595(7*10^153664+113)/3153665Robert Price02/2018
15962^510420+81121153652Enzo Doria07/2016
1597(197*7^181761-1)/2153608Karsten Bonath05/2017
15982^509894-459161153494Enzo Doria05/2015
15992^509841+71657153478Enzo Doria04/2016
16002^509533-1846723153385Enzo Doria07/2015
16012^509468-39989153366Enzo Doria09/2015
160270^83117-69^83117153360Robert Price01/2014
1603(112*10^153025-1)/3153027Serge Batalov12/2014
16042^508174-1855151152976Enzo Doria09/2015
1605181^67757-2152974Lelio R Paula12/2017
16062^508160-1864829152972Enzo Doria01/2016
16072^507857-1848199152881Enzo Doria07/2015
16082^507638-115361152815Enzo Doria07/2015
16092^507551-114025152789Enzo Doria11/2014
1610(6^196337+1)/7152780Paul Bourdelais02/2010
1611(22*10^152670-13)/9152671Robert Price06/2018
16122^506451-22339152457Enzo Doria07/2013
16132^505995-113185152320Enzo Doria07/2014
1614(4*10^152253+149)/9152253Robert Price04/2018
1615578^55117-577^55117152230Jean-Louis Charton08/2012
16162^505431-505431152150Henri Lifchitz04/2005
1617(203*10^152143+1)/3152145Robert Price03/2020
16182^505053+73097152037Enzo Doria04/2016
161922*10^151998+3152000Robert Price01/2020
1620(2^504793-7)/46765151954Lelio R Paula12/2017
1621350377#+797581151937Nicolas PALAU08/2017
16222^504618-343991151906Enzo Doria07/2015
16232^504212-461939151783Enzo Doria07/2015
16242^504054-2231151736Yves Minet10/2011
1625(28*10^151682+191)/3151683Robert Price02/2020
16262^503361-39883151527Enzo Doria09/2015
16272^503225+382667151486Enzo Doria10/2016
1628(26*10^151391-503)/9151392Robert Price07/2018
16292^502769+1877567151349Enzo Doria08/2016
16302^502576-4019151291Yves Minet10/2011
16315*10^151257+41151258Robert Price03/2019
16322^502290-2792501151205Enzo Doria02/2016
16332^502181+1868417151172Enzo Doria04/2016
16342^501781-1850503151052Enzo Doria08/2015
1635(5*10^151007+37)/3151008Robert Price03/2018
16362^501627-991151005Yves Minet02/2014
16372^501577-115333150990Enzo Doria07/2015
16388*10^150975+3150976Robert Price08/2015
16392^501512-113669150971Enzo Doria09/2014
1640(12^139739+1)/13150803Paul Bourdelais09/2011
1641(31^101111-1)/30150792Alexander Zhirkov11/2010
16422^500899-500899150786Henri Lifchitz04/2005
16432^500832+1876801150766Enzo Doria07/2016
1644(23*10^150763-59)/9150764Robert Price05/2018
16452^500699+1884953150726Enzo Doria02/2017
1646(13*10^150675-37)/3150676Robert Price01/2019
1647(2^500527+lucasV(1,2,500527)+1)/4150674Mike Oakes11/2016
16492^500337-71101150617Enzo Doria04/2016
1648(74*10^150616+133)/9150617Robert Price06/2019
16504*10^150577+91150578Robert Price08/2018
16512^500160+80071150564Enzo Doria06/2016
1652(2^500120+5)/9150551Lelio R Paula12/2017
1653(43*10^150515-421)/9150516Robert Price01/2019
1655(10^150551-1)/9/385207015049/57498437921/7808738631274081150512Maksym Voznyy08/2014
1654(10^150551-1)/1556587827131683185788921941743157225041150512Robert Price07/2016
16562^499861-29503150474Enzo Doria08/2015
16572^499653-113533150411Enzo Doria08/2014
16582^499534-221150375Yves Minet06/2012
16592^499225+49727150282Enzo Doria09/2016
16602^499054-29261150231Enzo Doria07/2015
1661(2^498898-7)/9150183Lelio R Paula10/2015
16623*10^150182+17150183Robert Price07/2018
16632^498623+1866983150101Enzo Doria03/2016
1664numbpart(18140942830)150033Serge Batalov04/2017
166510^150029+4381150030Patrick De Geest05/2016
166610^150029-41150029Serge Batalov12/2014
166710^150000+1158603150001Patrick De Geest09/2018
166810^150000-245703150000Patrick De Geest09/2018
1669(38*10^149999+691)/9150000Robert Price10/2018
16702^498238-53149985Lelio R Paula12/2017
16715*10^149907+23149908Robert Price03/2019
16722^497850+81049149868Enzo Doria07/2016
1673(5*2^497673+1)/2743149812Lelio R Paula10/2015
1674(5*2^497671+1)/373703149810Lelio R Paula10/2015
1675(2*10^149803-143)/3149803Robert Price03/2018
16762^497434-2784191149743Enzo Doria10/2015
1677(23*10^149655+19)/3149656Robert Price07/2019
16782^497068-113579149633Enzo Doria08/2014
16792^497037+73727149624Enzo Doria04/2016
16802^496773+77747149544Enzo Doria05/2016
16812^496477-113485149455Enzo Doria08/2014
1682((10^74703-1)*10000/9+7481)*10^74703+(10^74703-1)/9149410Hans Havermann09/2019
16832^496270-49451149393Enzo Doria10/2015
16842^496238-1865081149383Enzo Doria01/2016
16852^495968-1853699149302Enzo Doria09/2015
16862^495935-4117149292Yves Minet02/2018
16872^495712-396765149225Enzo Doria07/2013
1688(21*2^495676-1)/4835149211Lelio R Paula10/2015
16892^495420+1880701149137Enzo Doria10/2016
16902^495337-1847293149112Enzo Doria07/2015
1691(2^495193-7)/5149068Lelio R Paula10/2015
1692413^56963-412^56963149013Jean-Louis Charton08/2012
169347^89113-46^89113149006Robert Price10/2012
16942^494916+87855148985Lelio R Paula01/2016
16956*10^148982+73148983Robert Price04/2019
16962^494586-2791991148886Enzo Doria02/2016
16978*10^148860-3148861Ray Chandler04/2011
16982^494333-286183148810Enzo Doria06/2015
16992^494144-264119148753Enzo Doria05/2014
1700(5*2^493838-1)/3721148658Lelio R Paula10/2015
1701(23*2^493761-1)/555148636Lelio R Paula10/2015
1702(151*10^148601-1)/3148603Robert Price03/2020
17032^493636+82081148600Enzo Doria09/2016
1704((((((((((((((34251^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-2148593Serge Batalov07/2016
1705177487#+(519643#)/(177487#)148558Makoto Morimoto11/2017
1706(2*10^148460-23)/3148460Robert Price04/2018
1707(8*10^148328+1)/9148328Serge Batalov05/2010
1708(71*10^148306-539)/9148307Robert Price07/2019
17095^211959-12874148153Enzo Doria05/2014
1710(16*10^148071+41)/3148072Robert Price03/2019
1711187^65175-2148068Lelio R Paula11/2017
17122^491851+1871453148062Enzo Doria05/2016
1713(68*10^148060-257)/9148061Robert Price07/2019
1714(151*10^148020-1)/3148022Robert Price03/2020
1715(26*10^147973-23)/3147974Robert Price12/2019
17162^491521-1865323147963Enzo Doria02/2016
1717(2^491476+7)/71147948Lelio R Paula10/2015
17182^491391-7807147924Lelio R Paula01/2013
17192^491370-113297147918Enzo Doria07/2014
1720(32760^32760+32759^32759)/95546586737133567708319147900Robert Price07/2016
1721(17*10^147890+79)/3147891Robert Price04/2019
17222^490660-17147704Lelio R Paula12/2017
17232^490550+1179439147671Enzo Doria06/2016
1724(23*10^147649-59)/9147650Robert Price05/2018
17252^490303+2793653147596Enzo Doria03/2016
1726199^64181-2147543Lelio R Paula11/2017
17272^489871-286987147466Enzo Doria07/2015
17282^489864-351899147464Enzo Doria07/2015
1729175^65724-2147422Lelio R Paula11/2017
17302^489712+1874851147419Enzo Doria06/2016
173163^81896-2147359Lelio R Paula10/2017
1732(11*10^147313-107)/3147314Robert Price09/2018
17332^489305-59815147296Enzo Doria10/2015
1734(2^489280-7)/6381147285Lelio R Paula09/2015
17352^489125+80357147242Enzo Doria06/2016
1736(148*10^147139-1)/3147141Robert Price03/2020
17372^488648-112799147098Enzo Doria07/2014
17382^488627-350317147092Enzo Doria06/2015
1739(2^488441-1)/(61543567*30051203516986199)147012Dario Alpern12/2014
17402^488280-2165146987Yves Minet07/2014
17412^488278+45146987Lelio R Paula12/2017
17422^487927-39146881Lelio R Paula12/2017
1743(7*10^146860-13)/3146861Robert Price07/2018
1744(26*10^146856-77)/3146857Robert Price11/2019
17452^487726-1863341146821Enzo Doria12/2015
1746((10^73362-1)*10000/9+6701)*10^73362+(10^73362-1)/9146728Hans Havermann09/2019
1747(22*10^146661-19)/3146662Robert Price04/2019
17482^487121-39523146639Enzo Doria09/2015
1749(7*2^486967+1)/39146591Lelio R Paula09/2015
17502^486893-79146570Yves Minet09/2017


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: March, 29 2020 17:41 (Time in France)

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