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 ?
1501(23*10^180862-143)/3180863Robert Price12/2019
15023*10^180852+29180853Robert Price05/2018
1503(79*10^180710-1)/3180712Robert Price02/2020
15042^600300-1852559180709Enzo Doria08/2015
1505(2*10^180706-77)/3180706Robert Price02/2021
1506(10^180689+71)/9180689Serge Batalov07/2015
15072^600209+76487180681Enzo Doria05/2016
1508(8*10^180536-269)/9180536Robert Price09/2021
15092^599702-369885180529Enzo Doria11/2013
1510Tau(643^11688)180524Nik Lygeros / Olivier Rozier05/2015
1511(2951*29^123418-3)/4180490Curtis Bright05/2015
1512(29*10^180432-17)/3180433Robert Price09/2019
15134*10^180360+93180361Robert Price08/2018
15142^598942+80779180300Enzo Doria07/2016
1515(38*10^180296+403)/9180297Robert Price10/2018
15162^598591-1844797180194Enzo Doria06/2015
1517(100^90089+1)/101180176Paul Bourdelais08/2017
1518(29*10^180072+691)/9180073Robert Price08/2021
1519(59*10^180038+157)/9180039Robert Price12/2021
15206*10^179970+91179971Robert Price05/2019
1521(4*10^179963-79)/3179964Robert Price02/2018
1522(403*10^179944-43)/9179946Robert Price06/2021
1523Gamma-Prime(179849)179849Eric W. Weisstein06/2011
15242^597424-1859729179843Enzo Doria11/2015
1525Phi(180683,10)179760Maksym Voznyy09/2015
1526(10^180683-1)*9/(10^643-1)/(10^281-1)179760Robert Price07/2016
1527(3^376657-2^376657)/22301107657179701Mike Oakes04/2017
1528(29*10^179697+223)/9179698Robert Price09/2018
15292^596884+73179680Stefano Morozzi04/2021
1530(68*10^179656+7)/3179658Robert Price01/2020
1531(10^179643+173)/3179643Robert Price05/2021
15322^596690-461261179622Enzo Doria07/2015
15332^596684-113939179620Enzo Doria10/2014
15342*10^179602+63179603Robert Price05/2018
1535(25*10^179488-403)/9179489Robert Price01/2021
15367*10^179460+99179461Robert Price05/2021
15373^375887-112696179344Enzo Doria07/2014
15384*10^179265-71179266Robert Price12/2018
15392*10^179193+83179194Robert Price12/2021
15402^595144-1850429179157Enzo Doria08/2015
15413*10^179138+89179139Robert Price10/2018
1542(52*10^179062-133)/9179063Robert Price09/2021
15432^594531+82253178972Enzo Doria09/2016
1544(664*10^178939-61)/9178941Robert Price09/2021
15452^594260-2787899178891Enzo Doria11/2015
1546(29*10^178732-119)/9178733Robert Price12/2021
15472^593631+101381178701Jorge Menendez04/2018
154810^178695+136719178696Patrick De Geest05/2016
154910^178695-71178695Serge Batalov12/2014
1550(2*10^178649-161)/3178649Robert Price12/2020
1551(691^62903-1)/690178609Michael Stocker05/2020
1552(2^148330+1)^4-2178608Cletus Emmanuel12/2003
15532^593222-14145178578Jorge Menendez10/2017
15547*10^178566+33178567Robert Price06/2020
15552^593178+1867219178565Enzo Doria03/2016
1556(302*10^178369+13)/9178371Robert Price02/2020
1557(26*10^178296-113)/3178297Robert Price06/2020
1558(18^142031-1)/17178287Paul Bourdelais03/2010
1559(13*10^178233+137)/3178234Robert Price06/2021
1560(5*10^178206+91)/3178207Robert Price04/2018
15612^591872-291929178172Enzo Doria07/2015
15622^591682-286871178115Enzo Doria07/2015
15634*10^178091+9178092Robert Price05/2015
1564410747#+478483178007Makoto Morimoto02/2016
15653*10^177872+73177873Robert Price08/2018
15662^590762-396765177838Enzo Doria08/2013
1567(136*10^177754-1)/9177756Serge Batalov12/2014
1568ReverseConsecutiveIntegerPrime(37765)177719Eric W. Weisstein04/2010
1569Smr(37765)177719Eric W. Weisstein12/2021
1570(266*10^177577-11)/3177579Robert Price04/2020
1571(11*10^177466-113)/3177467Robert Price10/2018
15723*10^177373-97177374Robert Price07/2018
15732^589204+1881151177369Enzo Doria11/2016
15742^589132-69479177347Enzo Doria01/2016
1575(101*10^177302-17)/3177304Robert Price02/2020
15762^588912-113519177281Enzo Doria08/2014
1577(682*10^177266-7)/9177268Robert Price08/2021
157815^150706+2177245Robert Price06/2015
15792^588194-1861001177065Enzo Doria11/2015
15805*10^177016-37177017Robert Price11/2021
1581(23*10^176964-47)/3176965Robert Price09/2019
1582(19*10^176932+521)/9176933Robert Price05/2018
1583(8*10^176908+43)/3176909Robert Price06/2018
1584(85*10^176900+203)/9176901Robert Price09/2020
15852^587560-113699176874Enzo Doria09/2014
1586(101*10^176815-17)/3176817Robert Price02/2020
1587(25*10^176715-37)/3176716Robert Price10/2019
15885^252763-12862176674Enzo Doria05/2014
15892^586804+81721176646Enzo Doria08/2016
1590(10^176584+77)/3176584Robert Price01/2018
15912^586570+1874419176576Enzo Doria06/2016
15922^585994-3311176402Yves Minet12/2014
15938*10^176383-81176384Robert Price02/2021
1594(23*10^176357+61)/3176358Robert Price01/2022
15952^585832-112799176354Enzo Doria07/2014
1596(29*10^176240+49)/3176241Robert Price09/2021
15972^585336-461039176204Enzo Doria06/2015
1598(25*10^176164+143)/3176165Robert Price08/2020
15992^585095-1848127176132Enzo Doria08/2015
1600(5*10^176101-311)/9176101Robert Price12/2021
16016*10^176092+77176093Robert Price06/2020
16022^584950-115451176088Enzo Doria07/2015
1603(646*10^176044+11)/9176046Robert Price10/2021
16042^584671-3697176004Yves Minet03/2017
1605(13*10^175965-37)/3175966Robert Price01/2019
16062*10^175860-87175861Robert Price04/2018
1607(86*10^175774-221)/9175775Robert Price09/2019
16089*10^175654+47175655Robert Price01/2022
160910^175608+2971175609Mike Oakes05/2010
161010^175608-55829175608Patrick De Geest09/2013
16112^583051+1879793175516Enzo Doria09/2016
1612(76*10^175514+491)/9175515Robert Price10/2021
16132^582860-23829175459Enzo Doria08/2013
1614(28*10^175417-67)/3175418Robert Price10/2020
16152^582670-23913175402Enzo Doria08/2013
16162^582573-29563175372Enzo Doria08/2015
16172^582435-1862767175331Enzo Doria12/2015
1618(11*10^175250-149)/3175251Robert Price09/2018
1619(29*10^175236+31)/3175237Robert Price04/2021
16202^582072-1848599175222Enzo Doria08/2015
1621(404267#+465)/(3^4*5^2*31)175208Makoto Morimoto06/2019
1622(5*10^175117-311)/9175117Robert Price12/2021
1623(220221^32768+1)/2175075Serge Batalov03/2018
16242^581560+1874911175068Enzo Doria06/2016
1625(25*10^174987-97)/9174988Robert Price01/2022
1626(75^93307-1)/74174955Paul Bourdelais09/2017
1627(47*10^174790+493)/9174791Robert Price03/2019
16282^580528-114035174757Enzo Doria11/2014
1629(19*10^174754+737)/9174755Robert Price07/2018
1630(35*10^174704-377)/9174705Robert Price07/2018
1631(49*10^174681+293)/9174682Robert Price03/2021
16323*10^174665-97174666Robert Price07/2018
16332^580046-459161174612Enzo Doria05/2015
16342^579992-39779174595Enzo Doria09/2015
1635(4*10^174423+101)/3174424Robert Price11/2021
1636(2*10^174301-71)/3174301Robert Price12/2017
163714^152048+3174267Paul Bourdelais12/2020
1638(2^578696+1)/257174203Lelio R Paula09/2015
16392^578656-1851809174193Enzo Doria08/2015
16402^578583-113917174171Enzo Doria10/2014
16412^578434-83174126Yves Minet07/2017
164215^148048-2174118Robert Price06/2015
16435*10^174101+81174102Robert Price03/2019
16442^578346+2794249174100Enzo Doria03/2016
164510^173947+1372429173948Patrick De Geest08/2021
164710^173947-500000001173947Robert Price12/2020
164610^173947-286391173947Patrick De Geest08/2021
16485*10^173904-13173905Robert Price01/2019
1649(8*10^173862-59)/3173863Robert Price08/2021
1650(71*10^173854-287)/9173855Robert Price09/2019
1651(43*10^173826+101)/9173827Robert Price11/2018
16522*10^173809-87173810Robert Price04/2018
1653(L!41532)/2173772Serge Batalov07/2017
16542^577146-49877173739Enzo Doria10/2015
16552^576889+49727173661Enzo Doria09/2016
1656(167*10^173571-17)/3173573Robert Price03/2020
16575*10^173534+29173535Robert Price12/2020
1658(2^576551-1)/4612409/64758208321/242584327930759173528Dario Alpern06/2014
16594*10^173509+99173510Robert Price12/2020
1660(13*10^173467-37)/3173468Robert Price01/2019
16612^576016-113919173399Enzo Doria11/2014
16622^575911-1849387173367Enzo Doria08/2015
16632^575614+9173278Stefano Morozzi04/2021
1664(16*10^173251+107)/3173252Robert Price03/2019
16652^575196-114053173152Enzo Doria11/2014
16667*10^173135-53173136Robert Price06/2020
1667(301*10^173047+23)/9173049Robert Price06/2021
16682^574591-115387172970Enzo Doria07/2015
1669(202*10^172940-13)/9172942Robert Price01/2020
167045^104608+104608^45172940Norbert Schneider06/2021
16712^574328+81121172890Enzo Doria07/2016
1672(115*10^172862-1)/3172864Serge Batalov12/2014
16733*10^172812+13172813Robert Price07/2018
16744*5^247217-9172798Lelio R Paula10/2015
16756*10^172772-31172773Robert Price07/2020
167669061#+(467617#)/(69061#)172766Makoto Morimoto10/2017
1677(34*10^172693-547)/9172694Robert Price03/2021
16785*10^172692+57172693Robert Price12/2018
16792^573668-2782319172692Enzo Doria09/2015
16802^573444-1855109172624Enzo Doria09/2015
1681(14*10^172532-29)/3172533Robert Price09/2021
16823^361608+2172531Robert Price08/2014
1683(54^99563+1)/55172481Paul Bourdelais11/2017
16842^572592-114893172368Enzo Doria05/2015
16854*10^172354-39172355Robert Price09/2020
1686(11*10^172322-119)/9172323Robert Price11/2021
16875^246497-4^246497172295Jean-Louis Charton11/2008
1688(38^109037-1)/37172254Paul Bourdelais10/2017
1689(4*10^172241+89)/3172242Robert Price08/2021
16903*10^172219+73172220Robert Price08/2018
1691(36^110503+1)/37171975Lelio R Paula04/2017
1692(22*10^171929-73)/3171930Robert Price04/2019
1693(49*10^171892-319)/9171893Robert Price10/2021
16944*10^171891-63171892Robert Price10/2018
169567*10^171882-9171884Robert Price03/2021
16962^570980-2782289171883Enzo Doria09/2015
1697(25*10^171849-37)/3171850Robert Price10/2019
169810^171832+387909171833Patrick De Geest08/2021
169910^171832-10001171832Robert Price02/2021
1700(2^(12*47563+13)-9)/7171818Kevin Acres11/2013
1701(536*10^171601-23)/9171603Robert Price02/2020
17027*10^171535-99171536Robert Price06/2019
1703(28*10^171534+101)/3171535Robert Price09/2020
17042^569563-1854607171456Enzo Doria09/2015
17053*10^171391+59171392Robert Price08/2018
1706(13*10^171306-37)/3171307Robert Price01/2019
17078*10^171296+87171297Robert Price10/2019
1708(55^98419-1)/54171284Paul Bourdelais12/2017
1709(29*10^171275+67)/3171276Robert Price12/2019
1710(194*10^171193+1)/3171195Robert Price01/2022
17112^568642+1876129171179Enzo Doria07/2016
17124*10^171146-47171147Robert Price10/2021
1713(19*10^170970+131)/3170971Robert Price06/2020
1714(46*10^170932+143)/9170933Robert Price01/2019
1715(79*10^170901-1)/3170903Robert Price02/2020
1716(58*10^170842+221)/9170843Robert Price02/2017
1717(29*10^170830+583)/9170831Robert Price06/2021
17183*10^170800+73170801Robert Price08/2018
1719(29*10^170799-119)/9170800Robert Price12/2021
172011^164009-270170798Enzo Doria10/2012
17212*10^170767+41170768Robert Price05/2018
17223^357706-112358170670Enzo Doria07/2014
1723TheodorusPrime(170657)170657Eric W. Weisstein08/2013
17242^566871+1876163170646Enzo Doria07/2016
1725(10657#+(404267#)/(10657#))/(1675379)170624Makoto Morimoto10/2017
17262^566496+7170533Donovan Johnson07/2006
1727(7^201653+1)/8170416Paul Bourdelais02/2010
17287*10^170348+33170349Robert Price06/2020
17292^565183-352021170138Enzo Doria07/2015
17302^565143-114457170125Enzo Doria02/2015
17312^564976-49869170075Enzo Doria10/2015
1732(7*10^169944+23)/3169945Robert Price06/2020
1733(37*10^169943+251)/9169944Robert Price09/2021
17342^564526-351401169940Enzo Doria07/2015
17354*10^169759+19169760Robert Price10/2018
173621^128327-20^128327169677Jean-Louis Charton11/2014
17372^563583+89169656Stefano Morozzi04/2021
1738(4*10^169559+83)/3169560Robert Price02/2018
1739(194*10^169461-17)/3169463Robert Price09/2020
17402^562749+2793047169405Enzo Doria02/2016
1741(154*10^169337-1)/9169339Serge Batalov12/2014
1742(56*10^169311+691)/9169312Robert Price05/2019
17432^562369-29503169290Enzo Doria08/2015
1744(17*10^169283+19)/9169284Robert Price03/2021
17458*10^169071+59169072Robert Price11/2021
1746(10^169044+173)/3169044Robert Price05/2021
1747(22*10^169019+383)/9169020Robert Price05/2018
1748(64*10^168935+143)/9168936Robert Price05/2021
1749(22*10^168906+47)/3168907Robert Price06/2021
17505*10^168807+87168808Robert Price02/2019


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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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