PRP Records

Probable Primes Top 10000

(180278 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 ?
15012^447552-1019134727Yves Minet02/2014
15022^447437-113569134692Enzo Doria08/2014
15032^447426-65134689Lelio R Paula08/2017
15042^447357-2797573134668Enzo Doria04/2016
15052^447278+93134645Lelio R Paula08/2017
15062^447094-113193134589Enzo Doria07/2014
15073^282041-9934134568Enzo Doria05/2014
15082^447019-109039134567Enzo Doria04/2014
15092^446990-22041134558Enzo Doria07/2013
15102^446782-39701134495Enzo Doria09/2015
15112^446494-16485134409Enzo Doria04/2013
151229504^30069-30069^29504134405Norbert Schneider12/2014
15132^446441+65134393Lelio R Paula08/2017
1514(10^134385+719)/9134385Serge Batalov12/2014
1515(13*2^446187-1)/661134314Lelio R Paula07/2015
1516(2^446022-7)/339134264Lelio R Paula07/2015
151763^74568+2134174Lelio R Paula06/2017
15182^445671-22071134161Enzo Doria07/2013
1519(28*10^134122-1)/9134123Serge Batalov10/2014
15202^445515-113859134114Enzo Doria10/2014
15212^445328-216917134058Enzo Doria05/2014
15222^445202+1874899134020Enzo Doria06/2016
1523(13*2^445102+1)/17133989Lelio R Paula07/2015
15242^444964-113639133948Enzo Doria08/2014
152528118^30097-30097^28118133902Norbert Schneider01/2015
15262^444784-113859133894Enzo Doria10/2014
1527(89*10^133580+1)/9133581Serge Batalov05/2010
152862^74521-61^74521133571Robert Price05/2013
15292^443198-1867301133416Enzo Doria03/2016
15302^442799+1874633133296Enzo Doria06/2016
1531L(637751)133283Henri Lifchitz09/2008
15322^442688-113489133263Enzo Doria08/2014
1533(7*2^442640-1)/783133246Lelio R Paula07/2015
1534(9*2^442463+1)/17441133192Lelio R Paula07/2015
15352^442437-1849993133187Enzo Doria08/2015
15362^442430-2791721133185Enzo Doria03/2016
1537(13*2^442428-1)/309133183Lelio R Paula07/2015
1538(25*2^442379-1)/71133169Lelio R Paula07/2015
1539(2^441799+78557)/5132995Lelio R Paula07/2015
15402^441781-2787883132990Enzo Doria03/2016
1541(3*2^441685+1)/749132959Lelio R Paula07/2015
15422^441618+37132941Lelio R Paula08/2017
15432^441521-113575132912Enzo Doria08/2014
15442^441396-65132874Lelio R Paula08/2017
15452^441330+1871959132854Enzo Doria05/2016
15462^441063+383132774Lelio R Paula06/2012
15472^440846+1870909132708Enzo Doria05/2016
15482^440656-113489132651Enzo Doria08/2014
1549numbpart(14180123587)132646Serge Batalov04/2017
1550(2^440399-1)/(16210820281161978209*31518475633*880799)132538Dario Alpern01/2015
1551(38^83891+1)/39132529Robert Price09/2013
15522^439931-21132433Lelio R Paula08/2017
155347^79201-46^79201132432Robert Price10/2012
15542^439897-113653132423Enzo Doria08/2014
1555(5*2^439822+1)/9132400Lelio R Paula06/2015
1556(112*10^132337-1)/3132339Serge Batalov12/2014
15572^439576-113247132326Enzo Doria07/2014
15582^439497-29143132302Enzo Doria07/2015
15592^439409-114193132276Enzo Doria12/2014
15609*10^132148-7132149Robert Price09/2015
15612^438845+1870217132106Enzo Doria05/2016
15622^438789+87855132089Lelio R Paula01/2016
15632^438774-2786411132085Enzo Doria03/2016
15642^438755-1848205132079Enzo Doria07/2015
15652^438739-112087132074Enzo Doria06/2014
1566L(631181)131910Henri Lifchitz09/2008
1567(3*2^438121+1)/4308193883131879Lelio R Paula06/2015
15682^438079-1863877131875Enzo Doria03/2016
1569(2^438067+5)/329131869Lelio R Paula06/2015
15702^437908-113855131824Enzo Doria09/2014
15712^437884-286349131817Enzo Doria07/2015
15723^276062-112292131716Enzo Doria07/2014
15732^437343+75953131654Enzo Doria04/2016
157435^85243-34^85243131621Robert Price05/2012
15752^436451+1884713131385Enzo Doria03/2017
15762^436365+35131359Robert Price11/2015
15772^436300+1866871131340Enzo Doria03/2016
1578(23*2^435891-1)/699131215Lelio R Paula07/2015
1579(11*2^435879+1)/3337131211Lelio R Paula06/2015
1581(2^435808+1)/641/6700417131182Lelio R Paula02/2012
1580(2^435808+1)/4294967297131182Serge Batalov12/2016
15822^435773+1875557131181Enzo Doria06/2016
15832^435612-2789939131133Enzo Doria12/2015
158466^72047-65^72047131093Robert Price09/2013
15852^435468+75631131089Enzo Doria04/2016
158637^83588-2131083Lelio R Paula08/2015
1587(4^217720+11)/3131081Robert Price02/2017
15882^435202-113193131009Enzo Doria07/2014
1589floor((sqrt(5)-1)/2*10^130911)130911Serge Batalov06/2017
15902^434835-111937130899Enzo Doria05/2014
15912^434685+72257130854Enzo Doria04/2016
15922^434539-29317130810Enzo Doria07/2015
15932^434469-114259130789Enzo Doria01/2015
15942^434246+33130722Robert Price11/2015
15952^433911-91130621Lelio R Paula06/2017
15962^433744-114419130570Enzo Doria02/2015
15972^433708+1869451130560Enzo Doria05/2016
15982^433710+93130560Lelio R Paula06/2017
1599(29*2^433547-1)/27130511Lelio R Paula06/2015
16004*10^130480+9130481Robert Price05/2015
1601(23*2^433449-1)/75130481Lelio R Paula06/2015
1602(23*2^433334-1)/3731130445Lelio R Paula06/2015
16032^433023-113497130353Enzo Doria08/2014
16042^433002+1179379130347Enzo Doria06/2016
16052^432974+19130339Robert Price08/2015
1606(2^432457-1)/1672739247834685086279697130159Tony Prest / Never Odd Or Even09/2013
16072^432217+41130111Lelio R Paula06/2017
1608(2^216089*(2^216091-1)-339)/25130098Makoto Morimoto03/2017
1609((2^216091+1066)^2+(2^216091+1066)+41)/47/2069130095Makoto Morimoto05/2016
161097^65480-2130094Lelio R Paula05/2017
16112^432117-113215130081Enzo Doria07/2014
16122^431804+72511129986Enzo Doria04/2016
1613(3^272141-3^136071+1)/7129844Serge Batalov03/2014
1614(9*2^431141+1)/17129787Lelio R Paula06/2015
1615(29*2^430881-1)/21129709Lelio R Paula06/2015
16162^430807+1869563129686Enzo Doria05/2016
16172^430721-21429129660Enzo Doria07/2013
16182^430415-276271129568Enzo Doria07/2015
16192^430142-2791721129486Enzo Doria03/2016
16202^429568-21017129313Enzo Doria07/2013
16212^429194-112685129201Enzo Doria06/2014
16222^429145-2780449129186Enzo Doria04/2016
16232^428892-113453129110Enzo Doria07/2014
1624(11*2^428881-7)/15129106Renaud Lifchitz03/2011
16252^428727-113959129060Enzo Doria10/2014
1626(7*2^428725-1)/13129059Lelio R Paula05/2014
1627(10^129051-31)/3129051Serge Batalov12/2014
16282^428564+71161129011Enzo Doria04/2016
16292^428502-113285128992Enzo Doria07/2014
16302^428421-21373128968Enzo Doria06/2013
1631L(616787)128901Henri Lifchitz09/2008
163291^65772-2128851Lelio R Paula05/2017
16332^428022+43128848Lelio R Paula05/2017
16342^427999-459397128841Enzo Doria05/2015
16352^427993+76847128839Enzo Doria05/2016
16362^427824-1851507128788Enzo Doria08/2015
16372^427807-21469128783Enzo Doria07/2013
163811^123594-240128710Enzo Doria09/2012
16392^427504-21503128692Enzo Doria07/2013
16402^427420+91128667Lelio R Paula05/2017
16412^427269-113635128621Enzo Doria08/2014
16422^427130+1877569128579Enzo Doria08/2016
16432^427016-115349128545Enzo Doria07/2015
16442^426889-112879128507Enzo Doria06/2014
16452^426804+1869931128481Enzo Doria05/2016
16462^426750+77635128465Enzo Doria05/2016
16472^426425-91128367Lelio R Paula05/2017
1648(15*2^426398-1)/11128359Lelio R Paula05/2014
16492^426352+74971128345Enzo Doria04/2016
16502^426300-1863689128330Enzo Doria03/2016
16512^426293+1881017128327Enzo Doria11/2016
16522^426043+35128252Robert Price11/2015
16532^425808-459959128181Enzo Doria06/2015
16542^425627-113605128127Enzo Doria08/2014
165518565^30002-30002^18565128070Norbert Schneider01/2015
1656(2^425287-9)/2737128021Lelio R Paula05/2015
1657(3*2^425233-1)/25128007Lelio R Paula05/2014
16582^425205+4911128000Marek Hubal02/2017
16592^425118-113663127974Enzo Doria08/2014
16602^425061+1869761127957Enzo Doria05/2016
16612^424918-21141127914Enzo Doria07/2013
16622^424864-29489127897Enzo Doria08/2015
1663(97*10^127858-1)/3127860Serge Batalov12/2014
16642^424632-2786639127827Enzo Doria03/2016
16652^424577-113755127811Enzo Doria09/2014
1666(7*2^424512-1)/3127792Lelio R Paula05/2014
166711^122629-720127705Enzo Doria11/2012
16682^423696-21429127546Enzo Doria07/2013
16692^423664-1864559127536Enzo Doria03/2016
16703^267267-4127519Henri Lifchitz10/2014
1671(19^99689+5^99689)/24127477Robert Price09/2013
1672(21*2^423372+1)/101127447Lelio R Paula05/2014
16732^423328-21537127435Enzo Doria07/2013
1674(2^423165-7)/25127384Lelio R Paula05/2015
1675(F(5)^182099-F(4)^182099)/F(3)127282Wayne Halsdorf08/2013
1676(234483*27^88884-145)/26127230Curtis Bright05/2015
16772^422515-114997127190Enzo Doria06/2015
16785*10^127179-3127180Robert Price07/2015
1679-516776642557847117490*Bern(37960)/34256837217082767928421792453127042Thomas Ritschel06/2017
16802^421860-113285126993Enzo Doria07/2014
1681(2^421827-7)/11126982Lelio R Paula05/2015
168211^121910-840126957Enzo Doria12/2012
1683331^50339-10004126846Enzo Doria07/2012
16842^421363-2790757126843Enzo Doria03/2016
1685(106*10^126839-1)/3126841Serge Batalov12/2014
1686(7*2^421243+1)/39126807Lelio R Paula05/2014
16872^421161-286183126783Enzo Doria06/2015
16882^420939-113935126716Enzo Doria10/2014
16892^420741-113659126656Enzo Doria08/2014
16902^420694-21126642Lelio R Paula05/2017
1691(31*2^420556+1)/7126601Lelio R Paula05/2014
16922^420424-59189126561Enzo Doria10/2015
16932^420126+71893126471Enzo Doria04/2016
16942^419866+1877059126393Enzo Doria07/2016
1695F(604711)126377Henri Lifchitz02/2005
16962^419757+72707126360Enzo Doria04/2016
16972^419720-21569126349Enzo Doria07/2013
16982^419637+29126324Henri Lifchitz02/2006
16992^419612+1876741126316Enzo Doria07/2016
17002^419520+2793271126289Enzo Doria03/2016
1701(2^419447-5)/369126264Lelio R Paula05/2014
17022^419328-1859939126231Enzo Doria03/2016
17032^419282-1851507126217Enzo Doria08/2015
17042^419251+1866143126208Enzo Doria03/2016
170511^121185+2126202Robert Price05/2014
1706(23*2^419036-1)/1393126141Lelio R Paula05/2014
17072^418851+23126087Robert Price09/2015
1708(2^418849-9)/2681126083Lelio R Paula05/2014
17092^418829+167126081Lelio R Paula01/2012
1710(31*2^418782-1)/75891126063Lelio R Paula05/2014
1711(19*2^418754-1)/15126058Lelio R Paula05/2014
17122^418319-109501125927Enzo Doria04/2014
17132^418316-112373125926Enzo Doria06/2014
17142^417968+1869811125821Enzo Doria06/2016
17152^417902+63125802Lelio R Paula09/2015
1716(10^125792-91)/9125792Serge Batalov12/2014
17172^417704+77011125742Enzo Doria05/2016
1718(10^125706+149)/3125706Serge Batalov12/2014
17192^417419-115309125656Enzo Doria07/2015
17202^417300+77281125620Enzo Doria05/2016
17212^417095-1657125559Yves Minet07/2014
17222^416773-25125462Lelio R Paula09/2015
1723(11*2^416691+1)/43125436Lelio R Paula05/2014
1724(21*2^416566-1)/17125399Lelio R Paula05/2014
17252^416530+1870429125389Enzo Doria05/2016
17262^416490+1875109125376Enzo Doria09/2016
17272^416416-114929125354Enzo Doria05/2015
1728(172*10^125292-1)/9125294Serge Batalov12/2014
17292^416134+1865899125269Enzo Doria03/2016
1730(9*2^415992+1)/13560845125220Lelio R Paula05/2014
1731(23^91943-1)/22125201Robert Price01/2012
173243125^27010-106125185Enzo Doria08/2012
17332^415765-112603125158Enzo Doria06/2014
17342^415290-113591125015Enzo Doria08/2014
17352^415276-460919125011Enzo Doria06/2015
17362^415259+77243125006Enzo Doria05/2016
17372^415144-3683124971Yves Minet10/2011
17382^414874+79124890Lelio R Paula01/2015
1739(2^414765+7)/1389124854Lelio R Paula05/2014
17402^414618+79459124813Enzo Doria06/2016
17412^414432-1846709124757Enzo Doria07/2015
1742(13*2^414274-1)/153124708Lelio R Paula05/2014
17442^414032-5124637Henri Lifchitz07/2006
17432^414032+1872331124637Enzo Doria05/2016
174514120^30009-30009^14120124533Norbert Schneider02/2015
174664^68909-63^68909124463Robert Price07/2013
17472^413387+76253124442Enzo Doria04/2016
1748287117#+391613124424Nicolas PALAU01/2017
1749(27*2^413207-1)/108335124385Lelio R Paula05/2014
17502^412868-120599124286Paul Bourdelais02/2012


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: August, 20 2017 08:36 (Time in France)

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