PRP Records

Probable Primes Top 10000

(290751 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*10^183477-71)/3183478Robert Price07/2020
150211^176176-240183469Enzo Doria11/2012
1503(41^113749+1)/42183451Paul Bourdelais11/2017
15046*10^183429+53183430Robert Price05/2020
1505(28*10^183403+191)/3183404Robert Price02/2020
1506(101^91463+1)/102183320Paul Bourdelais11/2017
15072^608965-113989183317Enzo Doria10/2014
1508A005165(43592)183312Serge Batalov07/2017
1509(61*10^183294+119)/9183295Robert Price05/2019
15102^608814-461261183272Enzo Doria06/2015
1511(163*10^183227-1)/9183229Serge Batalov12/2014
15122^608541-608541^2183190Henri Lifchitz02/2018
15132^608293+143807183115Enzo Doria10/2016
15142^608164-462419183076Enzo Doria08/2015
15152^607950-1862303183012Enzo Doria12/2015
1516(46*10^182896+683)/9182897Robert Price03/2019
1517(2*10^182787+73)/3182787Robert Price09/2020
15182^607101+1871987182756Enzo Doria05/2016
15192^606869-69175182686Enzo Doria11/2015
15208*10^182671+71182672Robert Price05/2022
1521(23*10^182666-71)/3182667Robert Price07/2020
15223*10^182614-11182615Robert Price07/2018
15232^606560-357182593Enzo Doria05/2014
152466*10^182420+7182422Robert Price07/2020
15252^605687+1866983182330Enzo Doria03/2016
15262^605655-114445182321Enzo Doria02/2015
152794*10^182291-3182293Robert Price05/2020
1528(20^140053+1)/21182212Paul Bourdelais04/2010
1529(14*10^182177-221)/9182178Robert Price04/2018
15302^605174-112751182176Enzo Doria06/2014
15312^604761+1874507182052Enzo Doria06/2016
15322^604705+1871957182035Enzo Doria05/2016
1533(14*10^182000+229)/9182001Robert Price03/2018
1534(10^181996+41)/3181996Robert Price12/2017
1535(17*10^181979+91)/9181980Robert Price02/2022
1536(5*10^181950-101)/3181951Robert Price04/2018
15372^603915+75233181797Enzo Doria04/2016
1538(10^181710+7)/563747/2019847181698Alfred Reich08/2021
15397*10^181594-57181595Robert Price06/2020
15408*10^181580+29181581Robert Price11/2021
15413*10^181445+23181446Robert Price03/2022
1542(194*10^181369-11)/3181371Robert Price09/2020
154311^174145-360181354Enzo Doria10/2012
15442^602351-396765181326Enzo Doria08/2013
15456*10^181306+17181307Robert Price04/2019
1546(286*10^181220-1)/3181222Robert Price11/2020
15472^601957-113833181208Enzo Doria09/2014
154866^99581-65^99581181193Robert Price09/2013
154910^181182+383973181183Patrick De Geest04/2016
155010^181182-21181182Serge Batalov12/2014
1551(797*10^181171-41)/9181173Robert Price04/2022
1552(5*10^181127-29)/3181128Robert Price03/2018
15532^601521-29143181076Enzo Doria07/2015
15542^601442-2797811181053Enzo Doria04/2016
155544*10^181029+3181031Robert Price04/2020
15565*10^180992-9180993Robert Price05/2015
155710^180979+79477180980Patrick De Geest04/2016
155810^180979+107739180980Patrick De Geest04/2016
155910^180979-11180979Serge Batalov12/2014
15602^601023-113851180926Enzo Doria10/2014
1561(23*10^180862-143)/3180863Robert Price12/2019
15623*10^180852+29180853Robert Price05/2018
1563(277*10^180782-7)/9180784Robert Price02/2022
1564(8*10^180725-629)/9180725Robert Price01/2022
1565(79*10^180710-1)/3180712Robert Price02/2020
15662^600300-1852559180709Enzo Doria08/2015
1567(2*10^180706-77)/3180706Robert Price02/2021
1568(10^180689+71)/9180689Serge Batalov07/2015
15692^600209+76487180681Enzo Doria05/2016
1570(8*10^180536-269)/9180536Robert Price09/2021
15712^599702-369885180529Enzo Doria11/2013
1572Tau(643^11688)180524Nik Lygeros / Olivier Rozier05/2015
1573(2951*29^123418-3)/4180490Curtis Bright05/2015
1574(29*10^180432-17)/3180433Robert Price09/2019
15754*10^180360+93180361Robert Price08/2018
15762^598942+80779180300Enzo Doria07/2016
1577(38*10^180296+403)/9180297Robert Price10/2018
15782^598591-1844797180194Enzo Doria06/2015
1579(100^90089+1)/101180176Paul Bourdelais08/2017
1580(29*10^180072+691)/9180073Robert Price08/2021
1581(59*10^180038+157)/9180039Robert Price12/2021
158295*10^180019-9180021Robert Price01/2022
15836*10^179970+91179971Robert Price05/2019
1584(4*10^179963-79)/3179964Robert Price02/2018
1585(403*10^179944-43)/9179946Robert Price06/2021
1586Gamma-Prime(179849)179849Eric W. Weisstein06/2011
15872^597424-1859729179843Enzo Doria11/2015
1588Phi(180683,10)179760Maksym Voznyy09/2015
1589(10^180683-1)*9/(10^643-1)/(10^281-1)179760Robert Price07/2016
1590(3^376657-2^376657)/22301107657179701Mike Oakes04/2017
1591(29*10^179697+223)/9179698Robert Price09/2018
15922^596884+73179680Stefano Morozzi04/2021
1593(11*10^179679+13)/3179680Robert Price03/2022
1594(68*10^179656+7)/3179658Robert Price01/2020
1595(10^179643+173)/3179643Robert Price05/2021
15962^596690-461261179622Enzo Doria07/2015
15972^596684-113939179620Enzo Doria10/2014
15982*10^179602+63179603Robert Price05/2018
1599(25*10^179488-403)/9179489Robert Price01/2021
16007*10^179460+99179461Robert Price05/2021
16013^375887-112696179344Enzo Doria07/2014
16024*10^179265-71179266Robert Price12/2018
16032*10^179193+83179194Robert Price12/2021
16042^595144-1850429179157Enzo Doria08/2015
16053*10^179138+89179139Robert Price10/2018
1606(52*10^179062-133)/9179063Robert Price09/2021
16072^594531+82253178972Enzo Doria09/2016
1608(664*10^178939-61)/9178941Robert Price09/2021
16092^594260-2787899178891Enzo Doria11/2015
1610(14*10^178822+67)/9178823Robert Price05/2022
1611(29*10^178732-119)/9178733Robert Price12/2021
16122^593631+101381178701Jorge Menendez04/2018
161310^178695+136719178696Patrick De Geest05/2016
161410^178695-71178695Serge Batalov12/2014
1615(2*10^178649-161)/3178649Robert Price12/2020
1616(691^62903-1)/690178609Michael Stocker05/2020
1617(2^148330+1)^4-2178608Cletus Emmanuel12/2003
16182^593222-14145178578Jorge Menendez10/2017
16197*10^178566+33178567Robert Price06/2020
16202^593178+1867219178565Enzo Doria03/2016
1621(38*10^178456+151)/9178457Robert Price03/2022
1622(302*10^178369+13)/9178371Robert Price02/2020
1623(26*10^178296-113)/3178297Robert Price06/2020
1624(18^142031-1)/17178287Paul Bourdelais03/2010
1625(13*10^178233+137)/3178234Robert Price06/2021
1626(5*10^178206+91)/3178207Robert Price04/2018
16272^591872-291929178172Enzo Doria07/2015
16282^591682-286871178115Enzo Doria07/2015
16294*10^178091+9178092Robert Price05/2015
1630410747#+478483178007Makoto Morimoto02/2016
16313*10^177872+73177873Robert Price08/2018
16322^590762-396765177838Enzo Doria08/2013
1633(136*10^177754-1)/9177756Serge Batalov12/2014
1634ReverseConsecutiveIntegerPrime(37765)177719Eric W. Weisstein04/2010
1635Smr(37765)177719Eric W. Weisstein12/2021
1636(266*10^177577-11)/3177579Robert Price04/2020
1637(11*10^177466-113)/3177467Robert Price10/2018
16383*10^177373-97177374Robert Price07/2018
16392^589204+1881151177369Enzo Doria11/2016
16402^589132-69479177347Enzo Doria01/2016
1641(101*10^177302-17)/3177304Robert Price02/2020
16422^588912-113519177281Enzo Doria08/2014
1643(682*10^177266-7)/9177268Robert Price08/2021
164415^150706+2177245Robert Price06/2015
16452^588194-1861001177065Enzo Doria11/2015
16465*10^177016-37177017Robert Price11/2021
1647(23*10^176964-47)/3176965Robert Price09/2019
1648(19*10^176932+521)/9176933Robert Price05/2018
1649(8*10^176908+43)/3176909Robert Price06/2018
1650(85*10^176900+203)/9176901Robert Price09/2020
16512^587560-113699176874Enzo Doria09/2014
1652(101*10^176815-17)/3176817Robert Price02/2020
1653(25*10^176715-37)/3176716Robert Price10/2019
16545^252763-12862176674Enzo Doria05/2014
16552^586804+81721176646Enzo Doria08/2016
1656(10^176584+77)/3176584Robert Price01/2018
16572^586570+1874419176576Enzo Doria06/2016
1658(157*10^176482-1)/3176484Robert Price01/2022
16592^585994-3311176402Yves Minet12/2014
16608*10^176383-81176384Robert Price02/2021
1661(23*10^176357+61)/3176358Robert Price01/2022
16622^585832-112799176354Enzo Doria07/2014
1663(29*10^176240+49)/3176241Robert Price09/2021
16642^585336-461039176204Enzo Doria06/2015
1665(25*10^176164+143)/3176165Robert Price08/2020
16662^585095-1848127176132Enzo Doria08/2015
1667(5*10^176101-311)/9176101Robert Price12/2021
16686*10^176092+77176093Robert Price06/2020
16692^584950-115451176088Enzo Doria07/2015
1670(646*10^176044+11)/9176046Robert Price10/2021
16712^584671-3697176004Yves Minet03/2017
1672(13*10^175965-37)/3175966Robert Price01/2019
16732*10^175860-87175861Robert Price04/2018
1674(86*10^175774-221)/9175775Robert Price09/2019
16759*10^175654+47175655Robert Price01/2022
167610^175608+2971175609Mike Oakes05/2010
167710^175608-55829175608Patrick De Geest09/2013
16782^583051+1879793175516Enzo Doria09/2016
1679(76*10^175514+491)/9175515Robert Price10/2021
16802^582860-23829175459Enzo Doria08/2013
1681(28*10^175417-67)/3175418Robert Price10/2020
16822^582670-23913175402Enzo Doria08/2013
16832^582573-29563175372Enzo Doria08/2015
16842^582435-1862767175331Enzo Doria12/2015
1685(11*10^175250-149)/3175251Robert Price09/2018
1686(29*10^175236+31)/3175237Robert Price04/2021
16872^582072-1848599175222Enzo Doria08/2015
1688(404267#+465)/(3^4*5^2*31)175208Makoto Morimoto06/2019
1689(5*10^175117-311)/9175117Robert Price12/2021
1690(220221^32768+1)/2175075Serge Batalov03/2018
16912^581560+1874911175068Enzo Doria06/2016
1692(25*10^174987-97)/9174988Robert Price01/2022
1693(75^93307-1)/74174955Paul Bourdelais09/2017
1694(47*10^174790+493)/9174791Robert Price03/2019
16952^580528-114035174757Enzo Doria11/2014
1696(19*10^174754+737)/9174755Robert Price07/2018
1697(35*10^174704-377)/9174705Robert Price07/2018
1698(49*10^174681+293)/9174682Robert Price03/2021
16993*10^174665-97174666Robert Price07/2018
17002^580046-459161174612Enzo Doria05/2015
17012^579992-39779174595Enzo Doria09/2015
1702(4*10^174423+101)/3174424Robert Price11/2021
1703(2*10^174301-71)/3174301Robert Price12/2017
170414^152048+3174267Paul Bourdelais12/2020
1705(2^578696+1)/257174203Lelio R Paula09/2015
17062^578656-1851809174193Enzo Doria08/2015
17072^578583-113917174171Enzo Doria10/2014
17082^578434-83174126Yves Minet07/2017
170915^148048-2174118Robert Price06/2015
17105*10^174101+81174102Robert Price03/2019
17112^578346+2794249174100Enzo Doria03/2016
171210^173947+1372429173948Patrick De Geest08/2021
171410^173947-500000001173947Robert Price12/2020
171310^173947-286391173947Patrick De Geest08/2021
17155*10^173904-13173905Robert Price01/2019
1716(8*10^173862-59)/3173863Robert Price08/2021
1717(71*10^173854-287)/9173855Robert Price09/2019
1718(43*10^173826+101)/9173827Robert Price11/2018
17192*10^173809-87173810Robert Price04/2018
1720(L!41532)/2173772Serge Batalov07/2017
17212^577146-49877173739Enzo Doria10/2015
17222^576889+49727173661Enzo Doria09/2016
1723(167*10^173571-17)/3173573Robert Price03/2020
17245*10^173534+29173535Robert Price12/2020
1725(2^576551-1)/4612409/64758208321/242584327930759173528Dario Alpern06/2014
17264*10^173509+99173510Robert Price12/2020
1727(13*10^173467-37)/3173468Robert Price01/2019
17282^576016-113919173399Enzo Doria11/2014
17292^575911-1849387173367Enzo Doria08/2015
17302^575614+9173278Stefano Morozzi04/2021
1731(16*10^173251+107)/3173252Robert Price03/2019
17322^575196-114053173152Enzo Doria11/2014
17337*10^173135-53173136Robert Price06/2020
1734(301*10^173047+23)/9173049Robert Price06/2021
17352^574591-115387172970Enzo Doria07/2015
1736(202*10^172940-13)/9172942Robert Price01/2020
173745^104608+104608^45172940Norbert Schneider06/2021
17382^574328+81121172890Enzo Doria07/2016
1739(115*10^172862-1)/3172864Serge Batalov12/2014
17403*10^172812+13172813Robert Price07/2018
17414*5^247217-9172798Lelio R Paula10/2015
17426*10^172772-31172773Robert Price07/2020
174369061#+(467617#)/(69061#)172766Makoto Morimoto10/2017
1744(34*10^172693-547)/9172694Robert Price03/2021
17455*10^172692+57172693Robert Price12/2018
17462^573668-2782319172692Enzo Doria09/2015
17472^573444-1855109172624Enzo Doria09/2015
1748(14*10^172532-29)/3172533Robert Price09/2021
17493^361608+2172531Robert Price08/2014
1750(54^99563+1)/55172481Paul Bourdelais11/2017


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: June, 23 2022 21:24 (Time in France)

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