PRP Records

Probable Primes Top 10000

(202632 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 ?
15012^465503-112735140131Enzo Doria07/2014
15026^179964+179964^6-1140040Robert Price04/2014
1503(29*2^465077-1)/9140003Lelio R Paula08/2015
15042^465072-344789140001Enzo Doria07/2015
15052^464864-17139939Lelio R Paula09/2017
1506(17^113621+1)/18139804Paul Bourdelais09/2011
1507(19*2^464312-1)/3139773Lelio R Paula08/2015
1508(31*2^463970+1)/5139670Lelio R Paula08/2015
15092^463633-2788423139568Enzo Doria11/2015
15102^463271-109501139459Enzo Doria04/2014
15112^463237-99139449Lelio R Paula09/2017
1512(7*10^139417-547)/9139417Robert Price01/2018
1513(10^139398+191)/3139398Robert Price02/2018
15142^463019+79463139383Enzo Doria06/2016
15153^292129-112756139381Enzo Doria07/2014
1516(15*2^462951+1)/527139361Lelio R Paula08/2015
15172^462855-1865707139334Enzo Doria02/2016
15182^462786-292043139313Enzo Doria08/2015
1519(26*10^139289+1)/9139290Serge Batalov05/2010
15202^462238-935139148Yves Minet02/2014
15212^461228+1870441138844Enzo Doria05/2016
15222^461204-113675138837Enzo Doria08/2014
1523(2^461139-7)/47138815Lelio R Paula08/2015
1524(17*2^460963+1)/124051613138757Lelio R Paula08/2015
15252^460567-113541138645Enzo Doria08/2014
15267*10^138604+3138605Robert Price08/2015
15272^460330+69138574Lelio R Paula09/2017
15282^460078-69581138498Enzo Doria12/2015
15292^459768+1531138404Lelio R Paula06/2012
15302^459343-113611138277Enzo Doria08/2014
15312^459199+1874393138233Enzo Doria06/2016
15322^459063-345307138192Enzo Doria06/2015
15332^458927-112747138151Enzo Doria06/2014
15342^458927-69217138151Enzo Doria11/2015
1535555555*2^458524+1513138036Darren Bedwell08/2009
15362^458465+2^32+1138012T. D. Noe06/2007
15372^458321-113053137969Enzo Doria07/2014
15382^458298+79459137962Enzo Doria06/2016
15392^458248-21815137947Enzo Doria07/2013
15402^458194+1876549137931Enzo Doria07/2016
1541(318259#+325270)/(2^2*5*11*2957)137907Makoto Morimoto10/2017
15422^457937+57137853Lelio R Paula09/2017
15432^457822+105137819Donovan Johnson06/2006
15442^457754-113711137798Enzo Doria09/2014
154511^132315-360137792Enzo Doria09/2012
15462^457347-37137676Lelio R Paula09/2017
15472^457322-2786393137668Enzo Doria10/2015
1548gcd(Phi(699340,10),(10^34967+1)^3*(10^34967+1+10^17484)-(10^69934+10^34967)*(10^17484-1)+10^104901)137664Serge Batalov04/2015
15492^457240-59939137643Enzo Doria10/2015
15502^457120-21575137607Enzo Doria07/2013
1551(11*2^456978+1)/15137564Lelio R Paula07/2015
1552(7*25^98399+10613)/12137556Curtis Bright05/2015
15532^456796-113513137510Enzo Doria08/2014
1554(7*2^456655+1)/39137467Lelio R Paula07/2015
15552^456503-114361137422Enzo Doria01/2015
1556(11*2^456387+1)/19137386Lelio R Paula07/2015
1557(71*10^137250+1)/9137251Serge Batalov05/2010
15582^455922+76249137247Enzo Doria05/2016
155914^119741-119741^14137239Serge Batalov04/2016
1560(19*2^455760+1)/3455137196Lelio R Paula07/2015
1561124^(2^16)+57^(2^16)137195Valeryi Kuryshev02/2011
15622^455689+72677137177Enzo Doria04/2016
1563(17948!)^2+Prime(17948)137118Robert Price08/2014
1564(37^87421-1)/36137093Robert Price03/2012
15652^455323-57137066Lelio R Paula09/2017
1566(73*17^111333-9)/16136991Curtis Bright05/2015
15672^455025-112723136977Enzo Doria06/2014
15682^454675-1777136871Yves Minet10/2011
1569(6092*28^94536-143)/9136812Curtis Bright05/2015
15702^454348-53136773Lelio R Paula09/2017
157131^91680-2136729Lelio R Paula05/2017
15722^454199-113697136728Enzo Doria09/2014
15732^453935-2791357136649Enzo Doria01/2016
15742^453906-69131136640Enzo Doria11/2015
15752^453791+1873913136605Enzo Doria06/2016
1576(21*2^453740-1)/2735136588Lelio R Paula07/2015
15772^453503-2788297136519Enzo Doria11/2015
15782^453267-113827136447Enzo Doria09/2014
15792^453102+1877629136398Enzo Doria08/2016
1580L(651821)136223Henri Lifchitz09/2008
15812^452460+77701136205Enzo Doria05/2016
15822^452440-114755136199Enzo Doria04/2015
1583(2^451956-5)/181136051Lelio R Paula07/2015
15842^451947-22165136050Enzo Doria07/2013
15852^451787-21805136002Enzo Doria07/2013
15862^451734-112817135986Enzo Doria06/2014
1587(11*2^451714+1)/75135979Lelio R Paula07/2015
15882^451705-21879135977Enzo Doria07/2013
15892^451560-112349135934Enzo Doria06/2014
15902^451530+45135925Lelio R Paula08/2017
15912^451450-21743135900Enzo Doria07/2013
15922^450805+65135706Lelio R Paula08/2017
1593(13725^32768+1)/131074135573Lelio R Paula03/2012
1594(5^193939+1)/6135557Paul Bourdelais12/2008
15952^449944-113247135447Enzo Doria07/2014
15962^449770-113247135395Enzo Doria07/2014
15972^449637-21471135355Enzo Doria07/2013
15982^449571-75135335Lelio R Paula08/2017
1599(3*2^449494+1)/61340334013135301Lelio R Paula07/2015
16002^449330-35135262Lelio R Paula08/2017
1601(19*2^449325+1)/9135261Lelio R Paula07/2015
16022^449049-115309135178Enzo Doria07/2015
1603(10^135174+191)/3135174Robert Price02/2018
16042^449030-15135172Lelio R Paula08/2017
1605(27*2^448936-1)/11135144Lelio R Paula07/2015
16062^448762-351401135091Enzo Doria07/2015
1607(10^135011+719)/9135011Serge Batalov12/2014
16082^448386-2786261134978Enzo Doria03/2016
16092^448113-113949134896Enzo Doria11/2014
16102^447888-2786639134828Enzo Doria03/2016
16112^447870-396765134823Enzo Doria07/2013
16122^447766-21791134791Enzo Doria07/2013
1613(23*2^447647+1)/155134755Lelio R Paula07/2015
16142^447552-1019134727Yves Minet02/2014
1615(2*10^134720-41)/3134720Robert Price02/2018
16162^447437-113569134692Enzo Doria08/2014
16172^447426-65134689Lelio R Paula08/2017
16182^447357-2797573134668Enzo Doria04/2016
16192^447278+93134645Lelio R Paula08/2017
16202^447094-113193134589Enzo Doria07/2014
16213^282041-9934134568Enzo Doria05/2014
16222^447019-109039134567Enzo Doria04/2014
16232^446990-22041134558Enzo Doria07/2013
16242^446782-39701134495Enzo Doria09/2015
16252^446494-16485134409Enzo Doria04/2013
162629504^30069-30069^29504134405Norbert Schneider12/2014
16272^446441+65134393Lelio R Paula08/2017
1628(10^134385+719)/9134385Serge Batalov12/2014
1629(2*10^134364+529)/9134364Robert Price01/2018
1630(13*2^446187-1)/661134314Lelio R Paula07/2015
1631(2^446022-7)/339134264Lelio R Paula07/2015
163263^74568+2134174Lelio R Paula06/2017
16332^445671-22071134161Enzo Doria07/2013
1634(28*10^134122-1)/9134123Serge Batalov10/2014
16352^445515-113859134114Enzo Doria10/2014
16362^445328-216917134058Enzo Doria05/2014
16372^445202+1874899134020Enzo Doria06/2016
1638(13*2^445102+1)/17133989Lelio R Paula07/2015
16392^444964-113639133948Enzo Doria08/2014
164028118^30097-30097^28118133902Norbert Schneider01/2015
16412^444784-113859133894Enzo Doria10/2014
1642(89*10^133580+1)/9133581Serge Batalov05/2010
164362^74521-61^74521133571Robert Price05/2013
16442^443198-1867301133416Enzo Doria03/2016
1645(71^72043-1)/70133369Paul Bourdelais09/2017
16462^442799+1874633133296Enzo Doria06/2016
1647L(637751)133283Henri Lifchitz09/2008
1648109^65410-2133269Lelio R Paula10/2017
16492^442688-113489133263Enzo Doria08/2014
1650(7*2^442640-1)/783133246Lelio R Paula07/2015
1651(9*2^442463+1)/17441133192Lelio R Paula07/2015
16522^442437-1849993133187Enzo Doria08/2015
16532^442430-2791721133185Enzo Doria03/2016
1654(13*2^442428-1)/309133183Lelio R Paula07/2015
1655(25*2^442379-1)/71133169Lelio R Paula07/2015
1656(2^441799+78557)/5132995Lelio R Paula07/2015
16572^441781-2787883132990Enzo Doria03/2016
1658(3*2^441685+1)/749132959Lelio R Paula07/2015
16592^441618+37132941Lelio R Paula08/2017
16602^441521-113575132912Enzo Doria08/2014
16612^441396-65132874Lelio R Paula08/2017
16622^441330+1871959132854Enzo Doria05/2016
16632^441063+383132774Lelio R Paula06/2012
16642^440846+1870909132708Enzo Doria05/2016
16652^440656-113489132651Enzo Doria08/2014
1666numbpart(14180123587)132646Serge Batalov04/2017
1667(2^440399-1)/(16210820281161978209*31518475633*880799)132538Dario Alpern01/2015
1668(38^83891+1)/39132529Robert Price09/2013
16692^439931-21132433Lelio R Paula08/2017
167047^79201-46^79201132432Robert Price10/2012
16712^439897-113653132423Enzo Doria08/2014
1672(5*2^439822+1)/9132400Lelio R Paula06/2015
1673(112*10^132337-1)/3132339Serge Batalov12/2014
16742^439576-113247132326Enzo Doria07/2014
16752^439497-29143132302Enzo Doria07/2015
16762^439409-114193132276Enzo Doria12/2014
16779*10^132148-7132149Robert Price09/2015
16782^438845+1870217132106Enzo Doria05/2016
16792^438789+87855132089Lelio R Paula01/2016
16802^438774-2786411132085Enzo Doria03/2016
16812^438755-1848205132079Enzo Doria07/2015
16822^438739-112087132074Enzo Doria06/2014
168313907#+(318259#)/(13907#)131923Makoto Morimoto10/2017
1684L(631181)131910Henri Lifchitz09/2008
1685(3*2^438121+1)/4308193883131879Lelio R Paula06/2015
16862^438079-1863877131875Enzo Doria03/2016
1687(2^438067+5)/329131869Lelio R Paula06/2015
16882^437908-113855131824Enzo Doria09/2014
16892^437884-286349131817Enzo Doria07/2015
16903^276062-112292131716Enzo Doria07/2014
16912^437343+75953131654Enzo Doria04/2016
169235^85243-34^85243131621Robert Price05/2012
1693(68^71713+1)/69131413Paul Bourdelais09/2017
16942^436451+1884713131385Enzo Doria03/2017
16952^436365+35131359Robert Price11/2015
16962^436300+1866871131340Enzo Doria03/2016
1697(23*2^435891-1)/699131215Lelio R Paula07/2015
1698(11*2^435879+1)/3337131211Lelio R Paula06/2015
1700(2^435808+1)/641/6700417131182Lelio R Paula02/2012
1699(2^435808+1)/4294967297131182Serge Batalov12/2016
17012^435773+1875557131181Enzo Doria06/2016
17022^435612-2789939131133Enzo Doria12/2015
170366^72047-65^72047131093Robert Price09/2013
17042^435468+75631131089Enzo Doria04/2016
170537^83588-2131083Lelio R Paula08/2015
1706(4^217720+11)/3131081Robert Price02/2017
17072^435202-113193131009Enzo Doria07/2014
1708floor((sqrt(5)-1)/2*10^130911)130911Serge Batalov06/2017
17092^434835-111937130899Enzo Doria05/2014
17102^434685+72257130854Enzo Doria04/2016
17112^434539-29317130810Enzo Doria07/2015
17122^434469-114259130789Enzo Doria01/2015
17132^434246+33130722Robert Price11/2015
17142^433911-91130621Lelio R Paula06/2017
17152^433744-114419130570Enzo Doria02/2015
17172^433708+1869451130560Enzo Doria05/2016
17162^433710+93130560Lelio R Paula06/2017
1718(29*2^433547-1)/27130511Lelio R Paula06/2015
17194*10^130480+9130481Robert Price05/2015
1720(23*2^433449-1)/75130481Lelio R Paula06/2015
1721(23*2^433334-1)/3731130445Lelio R Paula06/2015
17222^433023-113497130353Enzo Doria08/2014
17232^433002+1179379130347Enzo Doria06/2016
17242^432974+19130339Robert Price08/2015
1725(2^432457-1)/1672739247834685086279697130159Tony Prest / Never Odd Or Even09/2013
17262^432217+41130111Lelio R Paula06/2017
1727(2^216089*(2^216091-1)-339)/25130098Makoto Morimoto03/2017
1728((2^216091+1066)^2+(2^216091+1066)+41)/47/2069130095Makoto Morimoto05/2016
172997^65480-2130094Lelio R Paula05/2017
17302^432117-113215130081Enzo Doria07/2014
17312^431804+72511129986Enzo Doria04/2016
1732(3^272141-3^136071+1)/7129844Serge Batalov03/2014
1733(9*2^431141+1)/17129787Lelio R Paula06/2015
1734(29*2^430881-1)/21129709Lelio R Paula06/2015
17352^430807+1869563129686Enzo Doria05/2016
17362^430721-21429129660Enzo Doria07/2013
17372^430415-276271129568Enzo Doria07/2015
17382^430142-2791721129486Enzo Doria03/2016
17392^429568-21017129313Enzo Doria07/2013
17402^429194-112685129201Enzo Doria06/2014
17412^429145-2780449129186Enzo Doria04/2016
17422^428892-113453129110Enzo Doria07/2014
1743(11*2^428881-7)/15129106Renaud Lifchitz03/2011
17442^428727-113959129060Enzo Doria10/2014
1745(7*2^428725-1)/13129059Lelio R Paula05/2014
1746(10^129051-31)/3129051Serge Batalov12/2014
17472^428564+71161129011Enzo Doria04/2016
17482^428502-113285128992Enzo Doria07/2014
17492^428421-21373128968Enzo Doria06/2013
1750L(616787)128901Henri Lifchitz09/2008


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: February, 20 2018 10:36 (Time in France)

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