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 ?
15012^596690-461261179622Enzo Doria07/2015
15022^596684-113939179620Enzo Doria10/2014
15032*10^179602+63179603Robert Price05/2018
1504(25*10^179488-403)/9179489Robert Price01/2021
15057*10^179460+99179461Robert Price05/2021
15063^375887-112696179344Enzo Doria07/2014
15074*10^179265-71179266Robert Price12/2018
15082^595144-1850429179157Enzo Doria08/2015
15093*10^179138+89179139Robert Price10/2018
1510(52*10^179062-133)/9179063Robert Price09/2021
15112^594531+82253178972Enzo Doria09/2016
1512(664*10^178939-61)/9178941Robert Price09/2021
15132^594260-2787899178891Enzo Doria11/2015
15142^593631+101381178701Jorge Menendez04/2018
151510^178695+136719178696Patrick De Geest05/2016
151610^178695-71178695Serge Batalov12/2014
1517(2*10^178649-161)/3178649Robert Price12/2020
1518(691^62903-1)/690178609Michael Stocker05/2020
1519(2^148330+1)^4-2178608Cletus Emmanuel12/2003
15202^593222-14145178578Jorge Menendez10/2017
15217*10^178566+33178567Robert Price06/2020
15222^593178+1867219178565Enzo Doria03/2016
1523(302*10^178369+13)/9178371Robert Price02/2020
1524(26*10^178296-113)/3178297Robert Price06/2020
1525(18^142031-1)/17178287Paul Bourdelais03/2010
1526(13*10^178233+137)/3178234Robert Price06/2021
1527(5*10^178206+91)/3178207Robert Price04/2018
15282^591872-291929178172Enzo Doria07/2015
15292^591682-286871178115Enzo Doria07/2015
15304*10^178091+9178092Robert Price05/2015
1531410747#+478483178007Makoto Morimoto02/2016
15323*10^177872+73177873Robert Price08/2018
15332^590762-396765177838Enzo Doria08/2013
1534(136*10^177754-1)/9177756Serge Batalov12/2014
1535ReverseConsecutiveIntegerPrime(37765)177719Eric W. Weisstein04/2010
1536(266*10^177577-11)/3177579Robert Price04/2020
1537(11*10^177466-113)/3177467Robert Price10/2018
15383*10^177373-97177374Robert Price07/2018
15392^589204+1881151177369Enzo Doria11/2016
15402^589132-69479177347Enzo Doria01/2016
1541(101*10^177302-17)/3177304Robert Price02/2020
15422^588912-113519177281Enzo Doria08/2014
1543(682*10^177266-7)/9177268Robert Price08/2021
154415^150706+2177245Robert Price06/2015
15452^588194-1861001177065Enzo Doria11/2015
15465*10^177016-37177017Robert Price11/2021
1547(23*10^176964-47)/3176965Robert Price09/2019
1548(19*10^176932+521)/9176933Robert Price05/2018
1549(8*10^176908+43)/3176909Robert Price06/2018
1550(85*10^176900+203)/9176901Robert Price09/2020
15512^587560-113699176874Enzo Doria09/2014
1552(101*10^176815-17)/3176817Robert Price02/2020
1553(25*10^176715-37)/3176716Robert Price10/2019
15545^252763-12862176674Enzo Doria05/2014
15552^586804+81721176646Enzo Doria08/2016
1556(10^176584+77)/3176584Robert Price01/2018
15572^586570+1874419176576Enzo Doria06/2016
15582^585994-3311176402Yves Minet12/2014
15598*10^176383-81176384Robert Price02/2021
15602^585832-112799176354Enzo Doria07/2014
1561(29*10^176240+49)/3176241Robert Price09/2021
15622^585336-461039176204Enzo Doria06/2015
1563(25*10^176164+143)/3176165Robert Price08/2020
15642^585095-1848127176132Enzo Doria08/2015
15656*10^176092+77176093Robert Price06/2020
15662^584950-115451176088Enzo Doria07/2015
1567(646*10^176044+11)/9176046Robert Price10/2021
15682^584671-3697176004Yves Minet03/2017
1569(13*10^175965-37)/3175966Robert Price01/2019
15702*10^175860-87175861Robert Price04/2018
1571(86*10^175774-221)/9175775Robert Price09/2019
157210^175608+2971175609Mike Oakes05/2010
157310^175608-55829175608Patrick De Geest09/2013
15742^583051+1879793175516Enzo Doria09/2016
1575(76*10^175514+491)/9175515Robert Price10/2021
15762^582860-23829175459Enzo Doria08/2013
1577(28*10^175417-67)/3175418Robert Price10/2020
15782^582670-23913175402Enzo Doria08/2013
15792^582573-29563175372Enzo Doria08/2015
15802^582435-1862767175331Enzo Doria12/2015
1581(11*10^175250-149)/3175251Robert Price09/2018
1582(29*10^175236+31)/3175237Robert Price04/2021
15832^582072-1848599175222Enzo Doria08/2015
1584(404267#+465)/(3^4*5^2*31)175208Makoto Morimoto06/2019
1585(220221^32768+1)/2175075Serge Batalov03/2018
15862^581560+1874911175068Enzo Doria06/2016
1587(75^93307-1)/74174955Paul Bourdelais09/2017
1588(47*10^174790+493)/9174791Robert Price03/2019
15892^580528-114035174757Enzo Doria11/2014
1590(19*10^174754+737)/9174755Robert Price07/2018
1591(35*10^174704-377)/9174705Robert Price07/2018
1592(49*10^174681+293)/9174682Robert Price03/2021
15933*10^174665-97174666Robert Price07/2018
15942^580046-459161174612Enzo Doria05/2015
15952^579992-39779174595Enzo Doria09/2015
1596(4*10^174423+101)/3174424Robert Price11/2021
1597(2*10^174301-71)/3174301Robert Price12/2017
159814^152048+3174267Paul Bourdelais12/2020
1599(2^578696+1)/257174203Lelio R Paula09/2015
16002^578656-1851809174193Enzo Doria08/2015
16012^578583-113917174171Enzo Doria10/2014
16022^578434-83174126Yves Minet07/2017
160315^148048-2174118Robert Price06/2015
16045*10^174101+81174102Robert Price03/2019
16052^578346+2794249174100Enzo Doria03/2016
160610^173947+1372429173948Patrick De Geest08/2021
160810^173947-500000001173947Robert Price12/2020
160710^173947-286391173947Patrick De Geest08/2021
16095*10^173904-13173905Robert Price01/2019
1610(8*10^173862-59)/3173863Robert Price08/2021
1611(71*10^173854-287)/9173855Robert Price09/2019
1612(43*10^173826+101)/9173827Robert Price11/2018
16132*10^173809-87173810Robert Price04/2018
1614(L!41532)/2173772Serge Batalov07/2017
16152^577146-49877173739Enzo Doria10/2015
16162^576889+49727173661Enzo Doria09/2016
1617(167*10^173571-17)/3173573Robert Price03/2020
16185*10^173534+29173535Robert Price12/2020
1619(2^576551-1)/4612409/64758208321/242584327930759173528Dario Alpern06/2014
16204*10^173509+99173510Robert Price12/2020
1621(13*10^173467-37)/3173468Robert Price01/2019
16222^576016-113919173399Enzo Doria11/2014
16232^575911-1849387173367Enzo Doria08/2015
16242^575614+9173278Stefano Morozzi04/2021
1625(16*10^173251+107)/3173252Robert Price03/2019
16262^575196-114053173152Enzo Doria11/2014
16277*10^173135-53173136Robert Price06/2020
1628(301*10^173047+23)/9173049Robert Price06/2021
16292^574591-115387172970Enzo Doria07/2015
1630(202*10^172940-13)/9172942Robert Price01/2020
163145^104608+104608^45172940Norbert Schneider06/2021
16322^574328+81121172890Enzo Doria07/2016
1633(115*10^172862-1)/3172864Serge Batalov12/2014
16343*10^172812+13172813Robert Price07/2018
16354*5^247217-9172798Lelio R Paula10/2015
16366*10^172772-31172773Robert Price07/2020
163769061#+(467617#)/(69061#)172766Makoto Morimoto10/2017
1638(34*10^172693-547)/9172694Robert Price03/2021
16395*10^172692+57172693Robert Price12/2018
16402^573668-2782319172692Enzo Doria09/2015
16412^573444-1855109172624Enzo Doria09/2015
1642(14*10^172532-29)/3172533Robert Price09/2021
16433^361608+2172531Robert Price08/2014
1644(54^99563+1)/55172481Paul Bourdelais11/2017
16452^572592-114893172368Enzo Doria05/2015
16464*10^172354-39172355Robert Price09/2020
1647(11*10^172322-119)/9172323Robert Price11/2021
16485^246497-4^246497172295Jean-Louis Charton11/2008
1649(38^109037-1)/37172254Paul Bourdelais10/2017
1650(4*10^172241+89)/3172242Robert Price08/2021
16513*10^172219+73172220Robert Price08/2018
1652(36^110503+1)/37171975Lelio R Paula04/2017
1653(22*10^171929-73)/3171930Robert Price04/2019
1654(49*10^171892-319)/9171893Robert Price10/2021
16554*10^171891-63171892Robert Price10/2018
165667*10^171882-9171884Robert Price03/2021
16572^570980-2782289171883Enzo Doria09/2015
1658(25*10^171849-37)/3171850Robert Price10/2019
165910^171832+387909171833Patrick De Geest08/2021
166010^171832-10001171832Robert Price02/2021
1661(2^(12*47563+13)-9)/7171818Kevin Acres11/2013
1662(536*10^171601-23)/9171603Robert Price02/2020
16637*10^171535-99171536Robert Price06/2019
1664(28*10^171534+101)/3171535Robert Price09/2020
16652^569563-1854607171456Enzo Doria09/2015
16663*10^171391+59171392Robert Price08/2018
1667(13*10^171306-37)/3171307Robert Price01/2019
16688*10^171296+87171297Robert Price10/2019
1669(55^98419-1)/54171284Paul Bourdelais12/2017
1670(29*10^171275+67)/3171276Robert Price12/2019
16712^568642+1876129171179Enzo Doria07/2016
16724*10^171146-47171147Robert Price10/2021
1673(19*10^170970+131)/3170971Robert Price06/2020
1674(46*10^170932+143)/9170933Robert Price01/2019
1675(79*10^170901-1)/3170903Robert Price02/2020
1676(58*10^170842+221)/9170843Robert Price02/2017
1677(29*10^170830+583)/9170831Robert Price06/2021
16783*10^170800+73170801Robert Price08/2018
167911^164009-270170798Enzo Doria10/2012
16802*10^170767+41170768Robert Price05/2018
16813^357706-112358170670Enzo Doria07/2014
1682TheodorusPrime(170657)170657Eric W. Weisstein08/2013
16832^566871+1876163170646Enzo Doria07/2016
1684(10657#+(404267#)/(10657#))/(1675379)170624Makoto Morimoto10/2017
16852^566496+7170533Donovan Johnson07/2006
1686(7^201653+1)/8170416Paul Bourdelais02/2010
16877*10^170348+33170349Robert Price06/2020
16882^565183-352021170138Enzo Doria07/2015
16892^565143-114457170125Enzo Doria02/2015
16902^564976-49869170075Enzo Doria10/2015
1691(7*10^169944+23)/3169945Robert Price06/2020
1692(37*10^169943+251)/9169944Robert Price09/2021
16932^564526-351401169940Enzo Doria07/2015
16944*10^169759+19169760Robert Price10/2018
169521^128327-20^128327169677Jean-Louis Charton11/2014
16962^563583+89169656Stefano Morozzi04/2021
1697(4*10^169559+83)/3169560Robert Price02/2018
1698(194*10^169461-17)/3169463Robert Price09/2020
16992^562749+2793047169405Enzo Doria02/2016
1700(154*10^169337-1)/9169339Serge Batalov12/2014
1701(56*10^169311+691)/9169312Robert Price05/2019
17022^562369-29503169290Enzo Doria08/2015
1703(17*10^169283+19)/9169284Robert Price03/2021
17048*10^169071+59169072Robert Price11/2021
1705(10^169044+173)/3169044Robert Price05/2021
1706(22*10^169019+383)/9169020Robert Price05/2018
1707(64*10^168935+143)/9168936Robert Price05/2021
1708(22*10^168906+47)/3168907Robert Price06/2021
17095*10^168807+87168808Robert Price02/2019
17104*10^168788-47168789Robert Price10/2021
1711(29*10^168711+691)/9168712Robert Price08/2021
17122^560405-39943168699Enzo Doria09/2015
171389*10^168614-7168616Robert Price04/2020
1714(23*10^168608-83)/3168609Robert Price08/2019
1715(94*10^168541+11)/3168543Robert Price04/2020
17162^559686-350471168483Enzo Doria06/2015
17172^559672-1855889168479Enzo Doria09/2015
1718(5*10^168379-473)/9168379Robert Price01/2018
17192^559000-59939168276Enzo Doria11/2015
1720(16*10^168181+41)/3168182Robert Price03/2019
1721(19*10^168173+77)/3168174Robert Price05/2019
17222^558640-114149168168Enzo Doria12/2014
17232^558498-1849277168125Enzo Doria08/2015
17242^558476-1850249168119Enzo Doria08/2015
1725(7*10^168067+71)/3168068Robert Price05/2018
17262^558150-1852211168020Enzo Doria08/2015
17272^558125-113661168013Enzo Doria09/2014
1728393^64747-392^64747167980Jean-Louis Charton08/2012
1729(13*10^167911+179)/3167912Robert Price11/2018
1730(26*10^167861-167)/3167862Robert Price10/2019
173139^105456+2167788Robert Price04/2015
1732(28^115877-1)/27167691Paul Bourdelais12/2017
173310^167639+121911167640Patrick De Geest07/2018
173410^167639-8001167639Robert Price03/2018
17352^556504-462059167525Enzo Doria07/2015
1736(88*10^167522-637)/9167523Robert Price11/2020
17375*10^167510+9167511Robert Price08/2015
17387*10^167437-93167438Robert Price08/2020
173911^160663+6167314Paul Bourdelais02/2021
1740(7*10^167308-493)/9167308Robert Price04/2021
17412^555343+1874333167175Enzo Doria06/2016
17422^555210-461261167135Enzo Doria07/2015
17439*10^166996+59166997Robert Price01/2020
1744(68*10^166976-329)/9166977Robert Price03/2021
17452^554372+1880527166883Enzo Doria11/2016
17462^554299+72173166861Enzo Doria04/2016
1747(185*10^166837+7)/3166839Robert Price03/2020
1748(14*10^166813+139)/9166814Robert Price11/2021
17492^554037-2797063166782Enzo Doria03/2016
1750(49*10^166721-139)/9166722Robert Price03/2019


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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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