PRP Records

Probable Primes Top 10000

(174961 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 (> 30000) Who ? When ?
150128118^30097-30097^28118133902Norbert Schneider01/2015
15022^444784-113859133894Enzo Doria10/2014
1503(89*10^133580+1)/9133581Serge Batalov05/2010
150462^74521-61^74521133571Robert Price05/2013
15052^443198-1867301133416Enzo Doria03/2016
15062^442799+1874633133296Enzo Doria06/2016
1507L(637751)133283Henri Lifchitz09/2008
15082^442688-113489133263Enzo Doria08/2014
1509(7*2^442640-1)/783133246Lelio R Paula07/2015
1510(9*2^442463+1)/17441133192Lelio R Paula07/2015
15112^442437-1849993133187Enzo Doria08/2015
15122^442430-2791721133185Enzo Doria03/2016
1513(13*2^442428-1)/309133183Lelio R Paula07/2015
1514(25*2^442379-1)/71133169Lelio R Paula07/2015
1515(2^441799+78557)/5132995Lelio R Paula07/2015
15162^441781-2787883132990Enzo Doria03/2016
1517(3*2^441685+1)/749132959Lelio R Paula07/2015
15182^441521-113575132912Enzo Doria08/2014
15192^441330+1871959132854Enzo Doria05/2016
15202^441063+383132774Lelio R Paula06/2012
15212^440846+1870909132708Enzo Doria05/2016
15222^440656-113489132651Enzo Doria08/2014
1523numbpart(14180123587)132646Serge Batalov04/2017
1524(2^440399-1)/(16210820281161978209*31518475633*880799)132538Dario Alpern01/2015
1525(38^83891+1)/39132529Robert Price09/2013
152647^79201-46^79201132432Robert Price10/2012
15272^439897-113653132423Enzo Doria08/2014
1528(5*2^439822+1)/9132400Lelio R Paula06/2015
1529(112*10^132337-1)/3132339Serge Batalov12/2014
15302^439576-113247132326Enzo Doria07/2014
15312^439497-29143132302Enzo Doria07/2015
15322^439409-114193132276Enzo Doria12/2014
15339*10^132148-7132149Robert Price09/2015
15342^438845+1870217132106Enzo Doria05/2016
15352^438789+87855132089Lelio R Paula01/2016
15362^438774-2786411132085Enzo Doria03/2016
15372^438755-1848205132079Enzo Doria07/2015
15382^438739-112087132074Enzo Doria06/2014
1539L(631181)131910Henri Lifchitz09/2008
1540(3*2^438121+1)/4308193883131879Lelio R Paula06/2015
15412^438079-1863877131875Enzo Doria03/2016
1542(2^438067+5)/329131869Lelio R Paula06/2015
15432^437908-113855131824Enzo Doria09/2014
15442^437884-286349131817Enzo Doria07/2015
15453^276062-112292131716Enzo Doria07/2014
15462^437343+75953131654Enzo Doria04/2016
154735^85243-34^85243131621Robert Price05/2012
15482^436451+1884713131385Enzo Doria03/2017
15492^436365+35131359Robert Price11/2015
15502^436300+1866871131340Enzo Doria03/2016
1551(23*2^435891-1)/699131215Lelio R Paula07/2015
1552(11*2^435879+1)/3337131211Lelio R Paula06/2015
1554(2^435808+1)/641/6700417131182Lelio R Paula02/2012
1553(2^435808+1)/4294967297131182Serge Batalov12/2016
15552^435773+1875557131181Enzo Doria06/2016
15562^435612-2789939131133Enzo Doria12/2015
155766^72047-65^72047131093Robert Price09/2013
15582^435468+75631131089Enzo Doria04/2016
155937^83588-2131083Lelio R Paula08/2015
1560(4^217720+11)/3131081Robert Price02/2017
15612^435202-113193131009Enzo Doria07/2014
1562floor((sqrt(5)-1)/2*10^130911)130911Serge Batalov06/2017
15632^434835-111937130899Enzo Doria05/2014
15642^434685+72257130854Enzo Doria04/2016
15652^434539-29317130810Enzo Doria07/2015
15662^434469-114259130789Enzo Doria01/2015
15672^434246+33130722Robert Price11/2015
15682^433911-91130621Lelio R Paula06/2017
15692^433744-114419130570Enzo Doria02/2015
15702^433708+1869451130560Enzo Doria05/2016
15712^433710+93130560Lelio R Paula06/2017
1572(29*2^433547-1)/27130511Lelio R Paula06/2015
15734*10^130480+9130481Robert Price05/2015
1574(23*2^433449-1)/75130481Lelio R Paula06/2015
1575(23*2^433334-1)/3731130445Lelio R Paula06/2015
15762^433023-113497130353Enzo Doria08/2014
15772^433002+1179379130347Enzo Doria06/2016
15782^432974+19130339Robert Price08/2015
1579(2^432457-1)/1672739247834685086279697130159Tony Prest / Never Odd Or Even09/2013
15802^432217+41130111Lelio R Paula06/2017
1581(2^216089*(2^216091-1)-339)/25130098Makoto Morimoto03/2017
1582((2^216091+1066)^2+(2^216091+1066)+41)/47/2069130095Makoto Morimoto05/2016
158397^65480-2130094Lelio R Paula05/2017
15842^432117-113215130081Enzo Doria07/2014
15852^431804+72511129986Enzo Doria04/2016
1586(3^272141-3^136071+1)/7129844Serge Batalov03/2014
1587(9*2^431141+1)/17129787Lelio R Paula06/2015
1588(29*2^430881-1)/21129709Lelio R Paula06/2015
15892^430807+1869563129686Enzo Doria05/2016
15902^430721-21429129660Enzo Doria07/2013
15912^430415-276271129568Enzo Doria07/2015
15922^430142-2791721129486Enzo Doria03/2016
15932^429568-21017129313Enzo Doria07/2013
15942^429194-112685129201Enzo Doria06/2014
15952^429145-2780449129186Enzo Doria04/2016
15962^428892-113453129110Enzo Doria07/2014
1597(11*2^428881-7)/15129106Renaud Lifchitz03/2011
15982^428727-113959129060Enzo Doria10/2014
1599(7*2^428725-1)/13129059Lelio R Paula05/2014
1600(10^129051-31)/3129051Serge Batalov12/2014
16012^428564+71161129011Enzo Doria04/2016
16022^428502-113285128992Enzo Doria07/2014
16032^428421-21373128968Enzo Doria06/2013
1604L(616787)128901Henri Lifchitz09/2008
160591^65772-2128851Lelio R Paula05/2017
16062^428022+43128848Lelio R Paula05/2017
16072^427999-459397128841Enzo Doria05/2015
16082^427993+76847128839Enzo Doria05/2016
16092^427824-1851507128788Enzo Doria08/2015
16102^427807-21469128783Enzo Doria07/2013
161111^123594-240128710Enzo Doria09/2012
16122^427504-21503128692Enzo Doria07/2013
16132^427420+91128667Lelio R Paula05/2017
16142^427269-113635128621Enzo Doria08/2014
16152^427130+1877569128579Enzo Doria08/2016
16162^427016-115349128545Enzo Doria07/2015
16172^426889-112879128507Enzo Doria06/2014
16182^426804+1869931128481Enzo Doria05/2016
16192^426750+77635128465Enzo Doria05/2016
16202^426425-91128367Lelio R Paula05/2017
1621(15*2^426398-1)/11128359Lelio R Paula05/2014
16222^426352+74971128345Enzo Doria04/2016
16232^426300-1863689128330Enzo Doria03/2016
16242^426293+1881017128327Enzo Doria11/2016
16252^426043+35128252Robert Price11/2015
16262^425808-459959128181Enzo Doria06/2015
16272^425627-113605128127Enzo Doria08/2014
162818565^30002-30002^18565128070Norbert Schneider01/2015
1629(2^425287-9)/2737128021Lelio R Paula05/2015
1630(3*2^425233-1)/25128007Lelio R Paula05/2014
16312^425205+4911128000Marek Hubal02/2017
16322^425118-113663127974Enzo Doria08/2014
16332^425061+1869761127957Enzo Doria05/2016
16342^424918-21141127914Enzo Doria07/2013
16352^424864-29489127897Enzo Doria08/2015
1636(97*10^127858-1)/3127860Serge Batalov12/2014
16372^424632-2786639127827Enzo Doria03/2016
16382^424577-113755127811Enzo Doria09/2014
1639(7*2^424512-1)/3127792Lelio R Paula05/2014
164011^122629-720127705Enzo Doria11/2012
16412^423696-21429127546Enzo Doria07/2013
16422^423664-1864559127536Enzo Doria03/2016
16433^267267-4127519Henri Lifchitz10/2014
1644(19^99689+5^99689)/24127477Robert Price09/2013
1645(21*2^423372+1)/101127447Lelio R Paula05/2014
16462^423328-21537127435Enzo Doria07/2013
1647(2^423165-7)/25127384Lelio R Paula05/2015
1648(F(5)^182099-F(4)^182099)/F(3)127282Wayne Halsdorf08/2013
1649(234483*27^88884-145)/26127230Curtis Bright05/2015
16502^422515-114997127190Enzo Doria06/2015
16515*10^127179-3127180Robert Price07/2015
1652-516776642557847117490*Bern(37960)/34256837217082767928421792453127042Thomas Ritschel06/2017
16532^421860-113285126993Enzo Doria07/2014
1654(2^421827-7)/11126982Lelio R Paula05/2015
165511^121910-840126957Enzo Doria12/2012
1656331^50339-10004126846Enzo Doria07/2012
16572^421363-2790757126843Enzo Doria03/2016
1658(106*10^126839-1)/3126841Serge Batalov12/2014
1659(7*2^421243+1)/39126807Lelio R Paula05/2014
16602^421161-286183126783Enzo Doria06/2015
16612^420939-113935126716Enzo Doria10/2014
16622^420741-113659126656Enzo Doria08/2014
16632^420694-21126642Lelio R Paula05/2017
1664(31*2^420556+1)/7126601Lelio R Paula05/2014
16652^420424-59189126561Enzo Doria10/2015
16662^420126+71893126471Enzo Doria04/2016
16672^419866+1877059126393Enzo Doria07/2016
1668F(604711)126377Henri Lifchitz02/2005
16692^419757+72707126360Enzo Doria04/2016
16702^419720-21569126349Enzo Doria07/2013
16712^419637+29126324Henri Lifchitz02/2006
16722^419612+1876741126316Enzo Doria07/2016
16732^419520+2793271126289Enzo Doria03/2016
1674(2^419447-5)/369126264Lelio R Paula05/2014
16752^419328-1859939126231Enzo Doria03/2016
16762^419282-1851507126217Enzo Doria08/2015
16772^419251+1866143126208Enzo Doria03/2016
167811^121185+2126202Robert Price05/2014
1679(23*2^419036-1)/1393126141Lelio R Paula05/2014
16802^418851+23126087Robert Price09/2015
1681(2^418849-9)/2681126083Lelio R Paula05/2014
16822^418829+167126081Lelio R Paula01/2012
1683(31*2^418782-1)/75891126063Lelio R Paula05/2014
1684(19*2^418754-1)/15126058Lelio R Paula05/2014
16852^418319-109501125927Enzo Doria04/2014
16862^418316-112373125926Enzo Doria06/2014
16872^417968+1869811125821Enzo Doria06/2016
16882^417902+63125802Lelio R Paula09/2015
1689(10^125792-91)/9125792Serge Batalov12/2014
16902^417704+77011125742Enzo Doria05/2016
1691(10^125706+149)/3125706Serge Batalov12/2014
16922^417419-115309125656Enzo Doria07/2015
16932^417300+77281125620Enzo Doria05/2016
16942^417095-1657125559Yves Minet07/2014
16952^416773-25125462Lelio R Paula09/2015
1696(11*2^416691+1)/43125436Lelio R Paula05/2014
1697(21*2^416566-1)/17125399Lelio R Paula05/2014
16982^416530+1870429125389Enzo Doria05/2016
16992^416490+1875109125376Enzo Doria09/2016
17002^416416-114929125354Enzo Doria05/2015
1701(172*10^125292-1)/9125294Serge Batalov12/2014
17022^416134+1865899125269Enzo Doria03/2016
1703(9*2^415992+1)/13560845125220Lelio R Paula05/2014
1704(23^91943-1)/22125201Robert Price01/2012
170543125^27010-106125185Enzo Doria08/2012
17062^415765-112603125158Enzo Doria06/2014
17072^415290-113591125015Enzo Doria08/2014
17082^415276-460919125011Enzo Doria06/2015
17092^415259+77243125006Enzo Doria05/2016
17102^415144-3683124971Yves Minet10/2011
17112^414874+79124890Lelio R Paula01/2015
1712(2^414765+7)/1389124854Lelio R Paula05/2014
17132^414618+79459124813Enzo Doria06/2016
17142^414432-1846709124757Enzo Doria07/2015
1715(13*2^414274-1)/153124708Lelio R Paula05/2014
17172^414032-5124637Henri Lifchitz07/2006
17162^414032+1872331124637Enzo Doria05/2016
171814120^30009-30009^14120124533Norbert Schneider02/2015
171964^68909-63^68909124463Robert Price07/2013
17202^413387+76253124442Enzo Doria04/2016
1721287117#+391613124424Nicolas PALAU01/2017
1722(27*2^413207-1)/108335124385Lelio R Paula05/2014
17232^412868-120599124286Paul Bourdelais02/2012
172445^75145-2124231Lelio R Paula08/2015
17252^412645-112213124219Enzo Doria06/2014
17262^412248+74611124100Enzo Doria04/2016
17272^412192-3329124083Yves Minet12/2014
1728(25*2^412191-1)/23124082Lelio R Paula05/2014
1729F(593689)124074Henri Lifchitz01/2005
1730(11*2^412161+1)/19124073Lelio R Paula05/2014
17312^411884-113279123990Enzo Doria07/2014
1732(2^411832+1)/257123972Lelio R Paula05/2014
17332^411790-1853531123962Enzo Doria08/2015
1734(5^177337+1)/6123953Paul Bourdelais11/2008
17352^411711-113257123938Enzo Doria07/2014
1736(23*2^411675-1)/3123928Lelio R Paula05/2014
17372^411325-351103123822Enzo Doria06/2015
17382^411052+1872481123739Enzo Doria05/2016
17392^410997+39123723Lelio R Paula05/2014
17402^410596-39123602Lelio R Paula05/2014
17412^410540-115079123585Enzo Doria06/2015
1742(3*2^410392-1)/9229123537Lelio R Paula05/2014
17432^410206-113081123485Enzo Doria07/2014
1744(25*2^410192+1)/10397123478Lelio R Paula04/2014
17452^409909-189123395Enzo Doria05/2014
17462^409896-109043123391Enzo Doria04/2014
17472^409890+75409123390Enzo Doria04/2016
1748F(590041)123311Henri Lifchitz01/2005
17492^409566-113501123292Enzo Doria08/2014
17502^409533+77747123282Enzo Doria05/2016


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: June, 22 2017 08:34 (Time in France)

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