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 ?
15012^615622+76639185321Enzo Doria05/2016
15022^615591+1879223185312Enzo Doria08/2016
15032^615503+1876643185285Enzo Doria07/2016
15045^265007-4^265007185232Jean-Louis Charton02/2013
1505(4*10^185221-91)/3185222Robert Price03/2018
1506(7*10^185221+131)/3185222Robert Price06/2020
1507(62*10^185216-413)/9185217Robert Price09/2021
1508(232*10^185180+17)/3185182Robert Price04/2021
150956*10^185139-3185141Robert Price03/2020
1510(28*10^185105+47)/3185106Robert Price02/2021
15112^614783-2790097185069Enzo Doria12/2015
15122^614745-29323185057Enzo Doria07/2015
1513(((((((((((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
1514(49*10^184993-67)/9184994Robert Price03/2019
1515(5*10^184954-191)/3184955Robert Price05/2021
1516(14*10^184950+211)/9184951Robert Price04/2018
15172^614315+81353184928Enzo Doria08/2016
15182^614294-1849961184921Enzo Doria08/2015
15192^614266+1877809184913Enzo Doria08/2016
1520(185*10^184878-11)/3184880Robert Price10/2020
152191*10^184867-9184869Robert Price06/2021
1522(85*10^184768+77)/9184769Robert Price07/2022
15232^613715-1860727184747Enzo Doria11/2015
1524(4*10^184730+89)/3184731Robert Price08/2021
15252*10^184723+41184724Robert Price05/2018
1526(49*10^184703+293)/9184704Robert Price03/2021
15272^613487-349987184678Enzo Doria07/2015
1528(95^93377+1)/96184672Paul Bourdelais11/2017
152914^161089-161089^14184629Serge Batalov05/2016
15302^613033-114621184542Enzo Doria05/2015
1531(9^193247+1)/10184404Paul Bourdelais02/2010
15322^612341-1604809184334Enzo Doria05/2015
1533(11*10^184308-161)/3184309Robert Price11/2021
1534(2^611999-1)/18464214225958267477777390354183184199Dario Alpern06/2017
1535(14*10^184150+37)/3184151Robert Price12/2018
15362^611731-4837184150Yves Minet08/2018
15373*10^184124-7184125Robert Price08/2015
15382^611628-24537184119Enzo Doria08/2013
15393*10^184110+13184111Robert Price07/2018
1540(194*10^184093+1)/3184095Robert Price01/2022
15412^611460+71881184068Enzo Doria04/2016
15424*10^184004-63184005Robert Price10/2018
15432^610982-1867301183924Enzo Doria03/2016
15443*10^183872-49183873Robert Price07/2018
15452^610597+1178897183809Enzo Doria05/2016
1546(8*10^183773-269)/9183773Robert Price09/2021
1547(65*10^183768-29)/9183769Robert Price01/2021
1548(17*10^183764+31)/3183765Robert Price01/2019
1549(28*10^183760-1)/9183761Serge Batalov10/2014
15502^610401+1277183750Lelio R Paula07/2013
15512^610356-1849019183736Enzo Doria08/2015
1552(63^102103+1)/64183717Paul Bourdelais10/2017
155323*10^183710-7183712Robert Price02/2020
1554(2^610289+1)/(3*528882550291)183704Gord Palameta08/2018
1555(4*10^183659+149)/9183659Robert Price04/2018
15562^609846-1834251183582Enzo Doria07/2015
155710^183546+1547323183547Patrick De Geest02/2021
155910^183546-800000001183546Robert Price09/2020
155810^183546-584297183546Patrick De Geest02/2021
1560(23*10^183477-71)/3183478Robert Price07/2020
156111^176176-240183469Enzo Doria11/2012
1562(41^113749+1)/42183451Paul Bourdelais11/2017
15636*10^183429+53183430Robert Price05/2020
1564(28*10^183403+191)/3183404Robert Price02/2020
1565(101^91463+1)/102183320Paul Bourdelais11/2017
15662^608965-113989183317Enzo Doria10/2014
1567A005165(43592)183312Serge Batalov07/2017
1568(61*10^183294+119)/9183295Robert Price05/2019
15692^608814-461261183272Enzo Doria06/2015
1570(163*10^183227-1)/9183229Serge Batalov12/2014
15712^608541-608541^2183190Henri Lifchitz02/2018
15722^608293+143807183115Enzo Doria10/2016
15732^608164-462419183076Enzo Doria08/2015
15742^607950-1862303183012Enzo Doria12/2015
1575(46*10^182896+683)/9182897Robert Price03/2019
1576(2*10^182787+73)/3182787Robert Price09/2020
15772^607101+1871987182756Enzo Doria05/2016
15782^606869-69175182686Enzo Doria11/2015
15798*10^182671+71182672Robert Price05/2022
1580(23*10^182666-71)/3182667Robert Price07/2020
15813*10^182614-11182615Robert Price07/2018
15822^606560-357182593Enzo Doria05/2014
158366*10^182420+7182422Robert Price07/2020
15842^605687+1866983182330Enzo Doria03/2016
15852^605655-114445182321Enzo Doria02/2015
158694*10^182291-3182293Robert Price05/2020
1587(20^140053+1)/21182212Paul Bourdelais04/2010
1588(14*10^182177-221)/9182178Robert Price04/2018
15892^605174-112751182176Enzo Doria06/2014
15902^604761+1874507182052Enzo Doria06/2016
15912^604705+1871957182035Enzo Doria05/2016
1592(14*10^182000+229)/9182001Robert Price03/2018
1593(10^181996+41)/3181996Robert Price12/2017
1594(17*10^181979+91)/9181980Robert Price02/2022
1595(5*10^181950-101)/3181951Robert Price04/2018
15962^603915+75233181797Enzo Doria04/2016
1597(10^181710+7)/563747/2019847181698Alfred Reich08/2021
15987*10^181594-57181595Robert Price06/2020
15998*10^181580+29181581Robert Price11/2021
16003*10^181445+23181446Robert Price03/2022
1601(194*10^181369-11)/3181371Robert Price09/2020
160211^174145-360181354Enzo Doria10/2012
16032^602351-396765181326Enzo Doria08/2013
16046*10^181306+17181307Robert Price04/2019
1605(286*10^181220-1)/3181222Robert Price11/2020
16062^601957-113833181208Enzo Doria09/2014
160766^99581-65^99581181193Robert Price09/2013
160810^181182+383973181183Patrick De Geest04/2016
160910^181182-21181182Serge Batalov12/2014
1610(797*10^181171-41)/9181173Robert Price04/2022
1611(5*10^181127-29)/3181128Robert Price03/2018
16122^601521-29143181076Enzo Doria07/2015
16132^601442-2797811181053Enzo Doria04/2016
161444*10^181029+3181031Robert Price04/2020
16155*10^180992-9180993Robert Price05/2015
161610^180979+79477180980Patrick De Geest04/2016
161710^180979+107739180980Patrick De Geest04/2016
161810^180979-11180979Serge Batalov12/2014
16192^601023-113851180926Enzo Doria10/2014
1620(23*10^180862-143)/3180863Robert Price12/2019
16213*10^180852+29180853Robert Price05/2018
1622(277*10^180782-7)/9180784Robert Price02/2022
1623(8*10^180725-629)/9180725Robert Price01/2022
1624(79*10^180710-1)/3180712Robert Price02/2020
16252^600300-1852559180709Enzo Doria08/2015
1626(2*10^180706-77)/3180706Robert Price02/2021
1627(10^180689+71)/9180689Serge Batalov07/2015
16282^600209+76487180681Enzo Doria05/2016
1629(8*10^180536-269)/9180536Robert Price09/2021
16302^599702-369885180529Enzo Doria11/2013
1631Tau(643^11688)180524Nik Lygeros / Olivier Rozier05/2015
1632(2951*29^123418-3)/4180490Curtis Bright05/2015
1633(29*10^180432-17)/3180433Robert Price09/2019
16344*10^180360+93180361Robert Price08/2018
16352^598942+80779180300Enzo Doria07/2016
1636(38*10^180296+403)/9180297Robert Price10/2018
1637(85*10^180241+77)/9180242Robert Price07/2022
16382^598591-1844797180194Enzo Doria06/2015
1639(100^90089+1)/101180176Paul Bourdelais08/2017
1640(29*10^180072+691)/9180073Robert Price08/2021
1641(59*10^180038+157)/9180039Robert Price12/2021
164295*10^180019-9180021Robert Price01/2022
16436*10^179970+91179971Robert Price05/2019
1644(4*10^179963-79)/3179964Robert Price02/2018
1645(403*10^179944-43)/9179946Robert Price06/2021
1646Gamma-Prime(179849)179849Eric W. Weisstein06/2011
16472^597424-1859729179843Enzo Doria11/2015
1648Phi(180683,10)179760Maksym Voznyy09/2015
1649(10^180683-1)*9/(10^643-1)/(10^281-1)179760Robert Price07/2016
1650(3^376657-2^376657)/22301107657179701Mike Oakes04/2017
1651(29*10^179697+223)/9179698Robert Price09/2018
16522^596884+73179680Stefano Morozzi04/2021
1653(11*10^179679+13)/3179680Robert Price03/2022
1654(68*10^179656+7)/3179658Robert Price01/2020
1655(10^179643+173)/3179643Robert Price05/2021
16562^596690-461261179622Enzo Doria07/2015
16572^596684-113939179620Enzo Doria10/2014
16582*10^179602+63179603Robert Price05/2018
1659(25*10^179488-403)/9179489Robert Price01/2021
16607*10^179460+99179461Robert Price05/2021
16613^375887-112696179344Enzo Doria07/2014
16624*10^179265-71179266Robert Price12/2018
16632*10^179193+83179194Robert Price12/2021
16642^595144-1850429179157Enzo Doria08/2015
16652^595122-5179150Stefano Morozzi07/2022
16663*10^179138+89179139Robert Price10/2018
1667(52*10^179062-133)/9179063Robert Price09/2021
16682^594531+82253178972Enzo Doria09/2016
1669(664*10^178939-61)/9178941Robert Price09/2021
16702^594260-2787899178891Enzo Doria11/2015
1671(14*10^178822+67)/9178823Robert Price05/2022
1672(29*10^178732-119)/9178733Robert Price12/2021
16732^593631+101381178701Jorge Menendez04/2018
167410^178695+136719178696Patrick De Geest05/2016
167510^178695-71178695Serge Batalov12/2014
1676(2*10^178649-161)/3178649Robert Price12/2020
1677(691^62903-1)/690178609Michael Stocker05/2020
1678(2^148330+1)^4-2178608Cletus Emmanuel12/2003
16792^593222-14145178578Jorge Menendez10/2017
16807*10^178566+33178567Robert Price06/2020
16812^593178+1867219178565Enzo Doria03/2016
1682(38*10^178456+151)/9178457Robert Price03/2022
1683(302*10^178369+13)/9178371Robert Price02/2020
1684(26*10^178296-113)/3178297Robert Price06/2020
1685(18^142031-1)/17178287Paul Bourdelais03/2010
1686(13*10^178233+137)/3178234Robert Price06/2021
1687(5*10^178206+91)/3178207Robert Price04/2018
16882^591872-291929178172Enzo Doria07/2015
16892^591682-286871178115Enzo Doria07/2015
16904*10^178091+9178092Robert Price05/2015
1691410747#+478483178007Makoto Morimoto02/2016
16923*10^177872+73177873Robert Price08/2018
16932^590762-396765177838Enzo Doria08/2013
1694(136*10^177754-1)/9177756Serge Batalov12/2014
1695ReverseConsecutiveIntegerPrime(37765)177719Eric W. Weisstein04/2010
1696Smr(37765)177719Eric W. Weisstein12/2021
1697(266*10^177577-11)/3177579Robert Price04/2020
1698(11*10^177466-113)/3177467Robert Price10/2018
16993*10^177373-97177374Robert Price07/2018
17002^589204+1881151177369Enzo Doria11/2016
17012^589132-69479177347Enzo Doria01/2016
1702(101*10^177302-17)/3177304Robert Price02/2020
17032^588912-113519177281Enzo Doria08/2014
1704(682*10^177266-7)/9177268Robert Price08/2021
170515^150706+2177245Robert Price06/2015
17062^588194-1861001177065Enzo Doria11/2015
17075*10^177016-37177017Robert Price11/2021
1708(23*10^176964-47)/3176965Robert Price09/2019
170920530^41031+41031^20530176942Norbert Schneider07/2022
1710(19*10^176932+521)/9176933Robert Price05/2018
1711(8*10^176908+43)/3176909Robert Price06/2018
1712(85*10^176900+203)/9176901Robert Price09/2020
17132^587560-113699176874Enzo Doria09/2014
171420596^40995+40995^20596176844Norbert Schneider07/2022
1715(101*10^176815-17)/3176817Robert Price02/2020
1716(25*10^176715-37)/3176716Robert Price10/2019
17175^252763-12862176674Enzo Doria05/2014
17182^586804+81721176646Enzo Doria08/2016
1719(10^176584+77)/3176584Robert Price01/2018
17202^586570+1874419176576Enzo Doria06/2016
1721(157*10^176482-1)/3176484Robert Price01/2022
17222^585994-3311176402Yves Minet12/2014
17238*10^176383-81176384Robert Price02/2021
1724(23*10^176357+61)/3176358Robert Price01/2022
17252^585832-112799176354Enzo Doria07/2014
1726(29*10^176240+49)/3176241Robert Price09/2021
1727(2^585387-11)/3176219Stefano Morozzi08/2022
17282^585336-461039176204Enzo Doria06/2015
1729(25*10^176164+143)/3176165Robert Price08/2020
17302^585095-1848127176132Enzo Doria08/2015
1731(5*10^176101-311)/9176101Robert Price12/2021
17326*10^176092+77176093Robert Price06/2020
17332^584950-115451176088Enzo Doria07/2015
1734(646*10^176044+11)/9176046Robert Price10/2021
17352^584671-3697176004Yves Minet03/2017
1736(13*10^175965-37)/3175966Robert Price01/2019
17372*10^175860-87175861Robert Price04/2018
1738(86*10^175774-221)/9175775Robert Price09/2019
17399*10^175654+47175655Robert Price01/2022
174010^175608+2971175609Mike Oakes05/2010
174110^175608-55829175608Patrick De Geest09/2013
17422^583051+1879793175516Enzo Doria09/2016
1743(76*10^175514+491)/9175515Robert Price10/2021
17442^582860-23829175459Enzo Doria08/2013
1745(28*10^175417-67)/3175418Robert Price10/2020
17462^582670-23913175402Enzo Doria08/2013
17472^582573-29563175372Enzo Doria08/2015
17482^582435-1862767175331Enzo Doria12/2015
174910^175295-40000001175295Robert Price07/2022
1750(11*10^175250-149)/3175251Robert Price09/2018


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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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