PRP Records

Probable Primes Top 10000

(205869 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 ?
15012^471043+35141799Robert Price11/2015
1502(11*2^470956-1)/7945141770Lelio R Paula08/2015
15032^470692+76771141693Enzo Doria05/2016
1504(21*2^470391+1)/533141601Lelio R Paula09/2015
15052^470305-459373141576Enzo Doria05/2015
15062^470183+72623141540Enzo Doria04/2016
15072^470173-16465141537Enzo Doria04/2013
15082^469974-1841141477Enzo Doria05/2014
1509(23*2^469939+1)/25141466Lelio R Paula08/2015
15102^469824+43141432Lelio R Paula09/2017
15112^469630-59711141373Enzo Doria10/2015
1512(2^469564-3)/611141351Lelio R Paula08/2015
1513197^61601+2141342Lelio R Paula08/2017
15142^469372-112949141296Enzo Doria07/2014
1516143^(2^16)+106^(2^16)141253Valeryi Kuryshev02/2011
1515143^65536+106^65536141253Serge Batalov03/2018
15172^469198+782569141243Enzo Doria10/2016
15182^469076-2786939141206Enzo Doria11/2015
15192^468804+1874941141125Enzo Doria06/2016
15202^468787+81353141119Enzo Doria08/2016
15212^468595-350407141062Enzo Doria06/2015
15222^468564+87855141052Lelio R Paula01/2016
15232^468551-21987141048Enzo Doria07/2013
15242^468523-7141040Lelio R Paula08/2015
15252^468405+87855141004Lelio R Paula01/2016
15262^467978-113051140876Enzo Doria07/2014
15272^467780-344429140816Enzo Doria07/2015
15282^467605-1855603140764Enzo Doria09/2015
15295*10^140744-7140745Robert Price09/2015
1530(5^201359-1)/4140744Paul Bourdelais12/2008
15312^467401-1850023140702Enzo Doria08/2015
1532(2^467270+78557)/23247140658Lelio R Paula07/2015
1533(29*2^467205+1)/2780517107140635Lelio R Paula08/2015
15342^467166-1854941140631Enzo Doria09/2015
15352^466866-1840571140541Enzo Doria06/2015
15362^466829-459523140530Enzo Doria05/2015
15372^466692-113213140489Enzo Doria07/2014
1538153^64265-2140400Lelio R Paula11/2017
1539(112*10^140357-1)/3140359Serge Batalov12/2014
15402^466181-112735140335Enzo Doria07/2014
1541(5*10^140281-119)/3140282Robert Price03/2018
1542(27*2^465872+1)/691140241Lelio R Paula08/2015
15432^465803-114817140221Enzo Doria05/2015
1544floor(Pi*10^140344)%10^140165140165Serge Batalov08/2012
15452^465503-112735140131Enzo Doria07/2014
15466^179964+179964^6-1140040Robert Price04/2014
1547(29*2^465077-1)/9140003Lelio R Paula08/2015
15482^465072-344789140001Enzo Doria07/2015
15492^464864-17139939Lelio R Paula09/2017
1550(17^113621+1)/18139804Paul Bourdelais09/2011
1551(19*2^464312-1)/3139773Lelio R Paula08/2015
1552(31*2^463970+1)/5139670Lelio R Paula08/2015
15532^463633-2788423139568Enzo Doria11/2015
15542^463271-109501139459Enzo Doria04/2014
1555(5*10^139457+79)/3139458Robert Price03/2018
15562^463237-99139449Lelio R Paula09/2017
1557(7*10^139417-547)/9139417Robert Price01/2018
1558(10^139398+191)/3139398Robert Price02/2018
15592^463019+79463139383Enzo Doria06/2016
15603^292129-112756139381Enzo Doria07/2014
1561(15*2^462951+1)/527139361Lelio R Paula08/2015
15622^462855-1865707139334Enzo Doria02/2016
15632^462786-292043139313Enzo Doria08/2015
1564(26*10^139289+1)/9139290Serge Batalov05/2010
15652^462238-935139148Yves Minet02/2014
15662^461228+1870441138844Enzo Doria05/2016
15672^461204-113675138837Enzo Doria08/2014
1568(2^461139-7)/47138815Lelio R Paula08/2015
1569(17*2^460963+1)/124051613138757Lelio R Paula08/2015
15702^460567-113541138645Enzo Doria08/2014
15717*10^138604+3138605Robert Price08/2015
15722^460330+69138574Lelio R Paula09/2017
15732^460078-69581138498Enzo Doria12/2015
15742^459768+1531138404Lelio R Paula06/2012
15752^459343-113611138277Enzo Doria08/2014
15762^459199+1874393138233Enzo Doria06/2016
15772^459063-345307138192Enzo Doria06/2015
15782*10^138162-43138163Robert Price04/2018
15792^458927-112747138151Enzo Doria06/2014
15802^458927-69217138151Enzo Doria11/2015
1581555555*2^458524+1513138036Darren Bedwell08/2009
15822^458465+2^32+1138012T. D. Noe06/2007
15832^458321-113053137969Enzo Doria07/2014
15842^458298+79459137962Enzo Doria06/2016
15852^458248-21815137947Enzo Doria07/2013
15862^458194+1876549137931Enzo Doria07/2016
1587(318259#+325270)/(2^2*5*11*2957)137907Makoto Morimoto10/2017
15882^457937+57137853Lelio R Paula09/2017
15892^457822+105137819Donovan Johnson06/2006
15902^457754-113711137798Enzo Doria09/2014
159111^132315-360137792Enzo Doria09/2012
15922^457347-37137676Lelio R Paula09/2017
15932^457322-2786393137668Enzo Doria10/2015
1594gcd(Phi(699340,10),(10^34967+1)^3*(10^34967+1+10^17484)-(10^69934+10^34967)*(10^17484-1)+10^104901)137664Serge Batalov04/2015
15952^457240-59939137643Enzo Doria10/2015
15962^457120-21575137607Enzo Doria07/2013
1597(11*2^456978+1)/15137564Lelio R Paula07/2015
1598(7*25^98399+10613)/12137556Curtis Bright05/2015
15992^456796-113513137510Enzo Doria08/2014
1600(7*2^456655+1)/39137467Lelio R Paula07/2015
16012^456503-114361137422Enzo Doria01/2015
1602(11*2^456387+1)/19137386Lelio R Paula07/2015
1603(71*10^137250+1)/9137251Serge Batalov05/2010
16042^455922+76249137247Enzo Doria05/2016
160514^119741-119741^14137239Serge Batalov04/2016
1606(19*2^455760+1)/3455137196Lelio R Paula07/2015
1608124^(2^16)+57^(2^16)137195Valeryi Kuryshev02/2011
1607124^65536+57^65536137195Serge Batalov03/2018
16092^455689+72677137177Enzo Doria04/2016
1610(17948!)^2+Prime(17948)137118Robert Price08/2014
1611(37^87421-1)/36137093Robert Price03/2012
16122^455323-57137066Lelio R Paula09/2017
1613(73*17^111333-9)/16136991Curtis Bright05/2015
16142^455025-112723136977Enzo Doria06/2014
16152^454675-1777136871Yves Minet10/2011
1616(6092*28^94536-143)/9136812Curtis Bright05/2015
16172^454348-53136773Lelio R Paula09/2017
161831^91680-2136729Lelio R Paula05/2017
16192^454199-113697136728Enzo Doria09/2014
16202^453935-2791357136649Enzo Doria01/2016
16212^453906-69131136640Enzo Doria11/2015
16222^453791+1873913136605Enzo Doria06/2016
1623(21*2^453740-1)/2735136588Lelio R Paula07/2015
16242^453503-2788297136519Enzo Doria11/2015
16252^453267-113827136447Enzo Doria09/2014
16262^453102+1877629136398Enzo Doria08/2016
1627L(651821)136223Henri Lifchitz09/2008
16282^452460+77701136205Enzo Doria05/2016
16292^452440-114755136199Enzo Doria04/2015
16302*10^136057-43136058Robert Price04/2018
1631(2^451956-5)/181136051Lelio R Paula07/2015
16322^451947-22165136050Enzo Doria07/2013
16332^451787-21805136002Enzo Doria07/2013
16342^451734-112817135986Enzo Doria06/2014
1635(11*2^451714+1)/75135979Lelio R Paula07/2015
16362^451705-21879135977Enzo Doria07/2013
16372^451560-112349135934Enzo Doria06/2014
16382^451530+45135925Lelio R Paula08/2017
16392^451450-21743135900Enzo Doria07/2013
16402^450805+65135706Lelio R Paula08/2017
1641(13725^32768+1)/131074135573Lelio R Paula03/2012
1642(5^193939+1)/6135557Paul Bourdelais12/2008
16432^449944-113247135447Enzo Doria07/2014
16442^449770-113247135395Enzo Doria07/2014
16452^449637-21471135355Enzo Doria07/2013
16462^449571-75135335Lelio R Paula08/2017
1647(3*2^449494+1)/61340334013135301Lelio R Paula07/2015
1648(13*10^135279+437)/9135280Robert Price04/2018
16492^449330-35135262Lelio R Paula08/2017
1650(19*2^449325+1)/9135261Lelio R Paula07/2015
16512^449049-115309135178Enzo Doria07/2015
1652(10^135174+191)/3135174Robert Price02/2018
16532^449030-15135172Lelio R Paula08/2017
1654(27*2^448936-1)/11135144Lelio R Paula07/2015
16552^448762-351401135091Enzo Doria07/2015
16562*10^135083-43135084Robert Price04/2018
1657(10^135011+719)/9135011Serge Batalov12/2014
16582^448386-2786261134978Enzo Doria03/2016
16592^448113-113949134896Enzo Doria11/2014
16602^447888-2786639134828Enzo Doria03/2016
16612^447870-396765134823Enzo Doria07/2013
16622^447766-21791134791Enzo Doria07/2013
1663(23*2^447647+1)/155134755Lelio R Paula07/2015
16642^447552-1019134727Yves Minet02/2014
1665(2*10^134720-41)/3134720Robert Price02/2018
16662^447437-113569134692Enzo Doria08/2014
16672^447426-65134689Lelio R Paula08/2017
16682^447357-2797573134668Enzo Doria04/2016
16692^447278+93134645Lelio R Paula08/2017
16702^447094-113193134589Enzo Doria07/2014
16713^282041-9934134568Enzo Doria05/2014
16722^447019-109039134567Enzo Doria04/2014
16732^446990-22041134558Enzo Doria07/2013
1674123^64370+122134528Karsten Bonath04/2018
16752^446782-39701134495Enzo Doria09/2015
16762^446494-16485134409Enzo Doria04/2013
167729504^30069-30069^29504134405Norbert Schneider12/2014
16782^446441+65134393Lelio R Paula08/2017
1679(10^134385+719)/9134385Serge Batalov12/2014
1680(2*10^134364+529)/9134364Robert Price01/2018
1681(13*2^446187-1)/661134314Lelio R Paula07/2015
1682(2^446022-7)/339134264Lelio R Paula07/2015
168363^74568+2134174Lelio R Paula06/2017
16842^445671-22071134161Enzo Doria07/2013
1685(28*10^134122-1)/9134123Serge Batalov10/2014
16862^445515-113859134114Enzo Doria10/2014
16872^445328-216917134058Enzo Doria05/2014
16882^445202+1874899134020Enzo Doria06/2016
1689(13*2^445102+1)/17133989Lelio R Paula07/2015
16902^444964-113639133948Enzo Doria08/2014
169128118^30097-30097^28118133902Norbert Schneider01/2015
16922^444784-113859133894Enzo Doria10/2014
1693(89*10^133580+1)/9133581Serge Batalov05/2010
169462^74521-61^74521133571Robert Price05/2013
16952^443198-1867301133416Enzo Doria03/2016
1696(71^72043-1)/70133369Paul Bourdelais09/2017
16972^442799+1874633133296Enzo Doria06/2016
1698L(637751)133283Henri Lifchitz09/2008
1699109^65410-2133269Lelio R Paula10/2017
17002^442688-113489133263Enzo Doria08/2014
1701(7*2^442640-1)/783133246Lelio R Paula07/2015
1702(9*2^442463+1)/17441133192Lelio R Paula07/2015
17032^442437-1849993133187Enzo Doria08/2015
17042^442430-2791721133185Enzo Doria03/2016
1705(13*2^442428-1)/309133183Lelio R Paula07/2015
1706(25*2^442379-1)/71133169Lelio R Paula07/2015
1707(2^441799+78557)/5132995Lelio R Paula07/2015
17082^441781-2787883132990Enzo Doria03/2016
1709(3*2^441685+1)/749132959Lelio R Paula07/2015
17102^441618+37132941Lelio R Paula08/2017
17112^441521-113575132912Enzo Doria08/2014
17122^441396-65132874Lelio R Paula08/2017
17132^441330+1871959132854Enzo Doria05/2016
17142^441063+383132774Lelio R Paula06/2012
17152^440846+1870909132708Enzo Doria05/2016
17162^440656-113489132651Enzo Doria08/2014
1717numbpart(14180123587)132646Serge Batalov04/2017
1718(2^440399-1)/(16210820281161978209*31518475633*880799)132538Dario Alpern01/2015
1719(38^83891+1)/39132529Robert Price09/2013
17202*10^132493-43132494Robert Price04/2018
17212^439931-21132433Lelio R Paula08/2017
172247^79201-46^79201132432Robert Price10/2012
17232^439897-113653132423Enzo Doria08/2014
1724(5*2^439822+1)/9132400Lelio R Paula06/2015
1725(112*10^132337-1)/3132339Serge Batalov12/2014
17262^439576-113247132326Enzo Doria07/2014
17272^439497-29143132302Enzo Doria07/2015
17282^439409-114193132276Enzo Doria12/2014
17299*10^132148-7132149Robert Price09/2015
17302^438845+1870217132106Enzo Doria05/2016
17312^438789+87855132089Lelio R Paula01/2016
17322^438774-2786411132085Enzo Doria03/2016
17332^438755-1848205132079Enzo Doria07/2015
17342^438739-112087132074Enzo Doria06/2014
173513907#+(318259#)/(13907#)131923Makoto Morimoto10/2017
1736L(631181)131910Henri Lifchitz09/2008
1737(3*2^438121+1)/4308193883131879Lelio R Paula06/2015
17382^438079-1863877131875Enzo Doria03/2016
1739(2^438067+5)/329131869Lelio R Paula06/2015
17402^437908-113855131824Enzo Doria09/2014
17412^437884-286349131817Enzo Doria07/2015
17423^276062-112292131716Enzo Doria07/2014
17432^437343+75953131654Enzo Doria04/2016
174435^85243-34^85243131621Robert Price05/2012
1745(68^71713+1)/69131413Paul Bourdelais09/2017
17462^436451+1884713131385Enzo Doria03/2017
17472^436365+35131359Robert Price11/2015
17482^436300+1866871131340Enzo Doria03/2016
1749(5*10^131223-29)/3131224Robert Price03/2018
1750(23*2^435891-1)/699131215Lelio R Paula07/2015


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: April, 22 2018 09:48 (Time in France)

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