PRP Records

Probable Primes Top 10000

(252675 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 ?
17512^464864-17139939Lelio R Paula09/2017
1752(17^113621+1)/18139804Paul Bourdelais09/2011
1753(13*10^139782+191)/3139783Robert Price11/2018
1754(19*2^464312-1)/3139773Lelio R Paula08/2015
17553*10^139722+13139723Robert Price07/2018
1756(31*2^463970+1)/5139670Lelio R Paula08/2015
1757(18203^(2^15)+(18201)^(2^15))/2139597Robert Price05/2018
17582^463633-2788423139568Enzo Doria11/2015
17592^463271-109501139459Enzo Doria04/2014
1760(5*10^139457+79)/3139458Robert Price03/2018
17612^463237-99139449Lelio R Paula09/2017
1762(49*10^139442+383)/9139443Robert Price04/2019
1763(7*10^139417-547)/9139417Robert Price01/2018
1764(10^139398+191)/3139398Robert Price02/2018
17652^463019+79463139383Enzo Doria06/2016
17663^292129-112756139381Enzo Doria07/2014
1767(15*2^462951+1)/527139361Lelio R Paula08/2015
17682^462855-1865707139334Enzo Doria02/2016
17692^462786-292043139313Enzo Doria08/2015
1770(26*10^139289+1)/9139290Serge Batalov05/2010
1771(17*10^139239+67)/3139240Robert Price01/2019
17722^462238-935139148Yves Minet02/2014
17732^461228+1870441138844Enzo Doria05/2016
17742^461204-113675138837Enzo Doria08/2014
1775(2^461139-7)/47138815Lelio R Paula08/2015
1776(17*10^138812-521)/9138813Robert Price04/2018
17773*10^138811-11138812Robert Price07/2018
1778(17*2^460963+1)/124051613138757Lelio R Paula08/2015
1779(43*10^138648+101)/9138649Robert Price11/2018
17802^460567-113541138645Enzo Doria08/2014
17817*10^138604+3138605Robert Price08/2015
17822^460330+69138574Lelio R Paula09/2017
17832^460078-69581138498Enzo Doria12/2015
17842^459768+1531138404Lelio R Paula06/2012
17852^459343-113611138277Enzo Doria08/2014
17862^459199+1874393138233Enzo Doria06/2016
17872^459063-345307138192Enzo Doria06/2015
17882*10^138162-43138163Robert Price04/2018
17892^458927-112747138151Enzo Doria06/2014
17902^458927-69217138151Enzo Doria11/2015
1791555555*2^458524+1513138036Darren Bedwell08/2009
17922^458465+2^32+1138012T. D. Noe06/2007
17932^458321-113053137969Enzo Doria07/2014
17942^458298+79459137962Enzo Doria06/2016
17952^458248-21815137947Enzo Doria07/2013
17962^458194+1876549137931Enzo Doria07/2016
1797(318259#+325270)/(2^2*5*11*2957)137907Makoto Morimoto10/2017
17982^457937+57137853Lelio R Paula09/2017
1799(8*10^137845+13)/3137846Robert Price06/2018
18002^457822+105137819Donovan Johnson06/2006
18012^457754-113711137798Enzo Doria09/2014
180211^132315-360137792Enzo Doria09/2012
18032^457347-37137676Lelio R Paula09/2017
18042^457322-2786393137668Enzo Doria10/2015
1805gcd(Phi(699340,10),(10^34967+1)^3*(10^34967+1+10^17484)-(10^69934+10^34967)*(10^17484-1)+10^104901)137664Serge Batalov04/2015
18062^457240-59939137643Enzo Doria10/2015
18072^457120-21575137607Enzo Doria07/2013
1808(11*2^456978+1)/15137564Lelio R Paula07/2015
1809(7*25^98399+10613)/12137556Curtis Bright05/2015
18102^456796-113513137510Enzo Doria08/2014
1811(7*2^456655+1)/39137467Lelio R Paula07/2015
18122^456503-114361137422Enzo Doria01/2015
1813(11*2^456387+1)/19137386Lelio R Paula07/2015
1814(71*10^137250+1)/9137251Serge Batalov05/2010
18152^455922+76249137247Enzo Doria05/2016
181614^119741-119741^14137239Serge Batalov04/2016
1817(19*2^455760+1)/3455137196Lelio R Paula07/2015
1818124^(2^16)+57^(2^16)137195Valeryi Kuryshev02/2011
1819124^65536+57^65536137195Serge Batalov03/2018
18202^455689+72677137177Enzo Doria04/2016
1821(17948!)^2+Prime(17948)137118Robert Price08/2014
1822(37^87421-1)/36137093Robert Price03/2012
18232^455323-57137066Lelio R Paula09/2017
1824(73*17^111333-9)/16136991Curtis Bright05/2015
18252^455025-112723136977Enzo Doria06/2014
18262^454675-1777136871Yves Minet10/2011
18273*10^136829+29136830Robert Price05/2018
18284*10^136813-57136814Robert Price10/2018
1829(6092*28^94536-143)/9136812Curtis Bright05/2015
18302^454348-53136773Lelio R Paula09/2017
183131^91680-2136729Lelio R Paula05/2017
18322^454199-113697136728Enzo Doria09/2014
1833(13*10^136687+47)/3136688Robert Price10/2018
18342^453935-2791357136649Enzo Doria01/2016
18352^453906-69131136640Enzo Doria11/2015
18362^453791+1873913136605Enzo Doria06/2016
1837(21*2^453740-1)/2735136588Lelio R Paula07/2015
1838580^49413+49413^580136550Norbert Schneider02/2019
18392^453503-2788297136519Enzo Doria11/2015
18402^453267-113827136447Enzo Doria09/2014
18412^453102+1877629136398Enzo Doria08/2016
1842L(651821)136223Henri Lifchitz09/2008
18432^452460+77701136205Enzo Doria05/2016
18442^452440-114755136199Enzo Doria04/2015
1845(47*10^136141+493)/9136142Robert Price03/2019
18462*10^136057-43136058Robert Price04/2018
1847(2^451956-5)/181136051Lelio R Paula07/2015
18482^451947-22165136050Enzo Doria07/2013
18492^451787-21805136002Enzo Doria07/2013
18502^451734-112817135986Enzo Doria06/2014
1851(11*2^451714+1)/75135979Lelio R Paula07/2015
18522^451705-21879135977Enzo Doria07/2013
18532^451560-112349135934Enzo Doria06/2014
18542^451530+45135925Lelio R Paula08/2017
18552^451450-21743135900Enzo Doria07/2013
18562^450805+65135706Lelio R Paula08/2017
1857(13725^32768+1)/131074135573Lelio R Paula03/2012
1858(5^193939+1)/6135557Paul Bourdelais12/2008
18592^449944-113247135447Enzo Doria07/2014
18602^449770-113247135395Enzo Doria07/2014
18612^449637-21471135355Enzo Doria07/2013
18622^449571-75135335Lelio R Paula08/2017
1863(14*10^135301-53)/3135302Robert Price12/2018
1864(3*2^449494+1)/61340334013135301Lelio R Paula07/2015
1865(13*10^135279+437)/9135280Robert Price04/2018
18662^449330-35135262Lelio R Paula08/2017
1867(19*2^449325+1)/9135261Lelio R Paula07/2015
1868(13*10^135184-43)/3135185Robert Price11/2018
18692^449049-115309135178Enzo Doria07/2015
1870(10^135174+191)/3135174Robert Price02/2018
18712^449030-15135172Lelio R Paula08/2017
1872(27*2^448936-1)/11135144Lelio R Paula07/2015
18732^448762-351401135091Enzo Doria07/2015
18742*10^135083-43135084Robert Price04/2018
18755*10^135019+77135020Robert Price12/2018
1876(10^135011+719)/9135011Serge Batalov12/2014
18772^448386-2786261134978Enzo Doria03/2016
18782^448113-113949134896Enzo Doria11/2014
18792^447888-2786639134828Enzo Doria03/2016
18802^447870-396765134823Enzo Doria07/2013
18812^447766-21791134791Enzo Doria07/2013
1882(23*2^447647+1)/155134755Lelio R Paula07/2015
18832^447552-1019134727Yves Minet02/2014
1884(2*10^134720-41)/3134720Robert Price02/2018
18852^447437-113569134692Enzo Doria08/2014
18862^447426-65134689Lelio R Paula08/2017
18872^447357-2797573134668Enzo Doria04/2016
18882^447278+93134645Lelio R Paula08/2017
18892^447094-113193134589Enzo Doria07/2014
18903^282041-9934134568Enzo Doria05/2014
18912^447019-109039134567Enzo Doria04/2014
18922^446990-22041134558Enzo Doria07/2013
1893123^64370+122134528Karsten Bonath04/2018
18942^446782-39701134495Enzo Doria09/2015
18952^446494-16485134409Enzo Doria04/2013
189629504^30069-30069^29504134405Norbert Schneider12/2014
18972^446441+65134393Lelio R Paula08/2017
1898(10^134385+719)/9134385Serge Batalov12/2014
1899(2*10^134364+529)/9134364Robert Price01/2018
1900(13*2^446187-1)/661134314Lelio R Paula07/2015
1901(2^446022-7)/339134264Lelio R Paula07/2015
190263^74568+2134174Lelio R Paula06/2017
19032^445671-22071134161Enzo Doria07/2013
1904532^49205+49205^532134129Norbert Schneider02/2019
1905(28*10^134122-1)/9134123Serge Batalov10/2014
19062^445515-113859134114Enzo Doria10/2014
1907(22*10^134111-37)/3134112Robert Price04/2019
19082^445328-216917134058Enzo Doria05/2014
19092^445202+1874899134020Enzo Doria06/2016
1910(13*2^445102+1)/17133989Lelio R Paula07/2015
1911(35*10^133979-593)/9133980Robert Price07/2018
19122*10^133955+51133956Robert Price05/2018
19132^444964-113639133948Enzo Doria08/2014
191428118^30097-30097^28118133902Norbert Schneider01/2015
19152^444784-113859133894Enzo Doria10/2014
1916(89*10^133580+1)/9133581Serge Batalov05/2010
191762^74521-61^74521133571Robert Price05/2013
19182^443198-1867301133416Enzo Doria03/2016
1919(71^72043-1)/70133369Paul Bourdelais09/2017
19202^442799+1874633133296Enzo Doria06/2016
1921L(637751)133283Henri Lifchitz09/2008
1922109^65410-2133269Lelio R Paula10/2017
19232^442688-113489133263Enzo Doria08/2014
1924(7*2^442640-1)/783133246Lelio R Paula07/2015
1925(9*2^442463+1)/17441133192Lelio R Paula07/2015
19262^442437-1849993133187Enzo Doria08/2015
19272^442430-2791721133185Enzo Doria03/2016
1928(13*2^442428-1)/309133183Lelio R Paula07/2015
1929(25*2^442379-1)/71133169Lelio R Paula07/2015
1930(2^441799+78557)/5132995Lelio R Paula07/2015
19312^441781-2787883132990Enzo Doria03/2016
1932(3*2^441685+1)/749132959Lelio R Paula07/2015
19332^441618+37132941Lelio R Paula08/2017
19342^441521-113575132912Enzo Doria08/2014
19352^441396-65132874Lelio R Paula08/2017
19362^441330+1871959132854Enzo Doria05/2016
19372^441063+383132774Lelio R Paula06/2012
19382^440846+1870909132708Enzo Doria05/2016
19392^440656-113489132651Enzo Doria08/2014
1940numbpart(14180123587)132646Serge Batalov04/2017
1941(2^440399-1)/(16210820281161978209*31518475633*880799)132538Dario Alpern01/2015
1942(38^83891+1)/39132529Robert Price09/2013
19432*10^132493-43132494Robert Price04/2018
19442^439931-21132433Lelio R Paula08/2017
194547^79201-46^79201132432Robert Price10/2012
19462^439897-113653132423Enzo Doria08/2014
1947(5*2^439822+1)/9132400Lelio R Paula06/2015
1948(112*10^132337-1)/3132339Serge Batalov12/2014
19492^439576-113247132326Enzo Doria07/2014
19502^439497-29143132302Enzo Doria07/2015
19512^439409-114193132276Enzo Doria12/2014
1952(44*10^132233-233)/9132234Robert Price01/2019
19539*10^132148-7132149Robert Price09/2015
19542^438845+1870217132106Enzo Doria05/2016
19552^438789+87855132089Lelio R Paula01/2016
19562^438774-2786411132085Enzo Doria03/2016
19572^438755-1848205132079Enzo Doria07/2015
19582^438739-112087132074Enzo Doria06/2014
195913907#+(318259#)/(13907#)131923Makoto Morimoto10/2017
1960L(631181)131910Henri Lifchitz09/2008
1961(3*2^438121+1)/4308193883131879Lelio R Paula06/2015
19622^438079-1863877131875Enzo Doria03/2016
1963(2^438067+5)/329131869Lelio R Paula06/2015
19642^437908-113855131824Enzo Doria09/2014
19652^437884-286349131817Enzo Doria07/2015
1966(11*10^131784-17)/3131785Robert Price06/2018
19673^276062-112292131716Enzo Doria07/2014
19682^437343+75953131654Enzo Doria04/2016
196935^85243-34^85243131621Robert Price05/2012
1970(68^71713+1)/69131413Paul Bourdelais09/2017
19712^436451+1884713131385Enzo Doria03/2017
19722^436365+35131359Robert Price11/2015
19732^436300+1866871131340Enzo Doria03/2016
1974(7*10^131339+179)/3131340Robert Price09/2018
1975(37*10^131270+341)/9131271Robert Price08/2018
1976(5*10^131223-29)/3131224Robert Price03/2018
1977(23*2^435891-1)/699131215Lelio R Paula07/2015
1978(11*2^435879+1)/3337131211Lelio R Paula06/2015
1979(2^435808+1)/641/6700417131182Lelio R Paula02/2012
1980(2^435808+1)/4294967297131182Serge Batalov12/2016
19812^435773+1875557131181Enzo Doria06/2016
1982(25*10^131144-7)/9131145Robert Price05/2018
19832^435612-2789939131133Enzo Doria12/2015
198466^72047-65^72047131093Robert Price09/2013
1985(5*10^131090+37)/3131091Robert Price03/2018
19862^435468+75631131089Enzo Doria04/2016
198737^83588-2131083Lelio R Paula08/2015
1988(4^217720+11)/3131081Robert Price02/2017
19892^435202-113193131009Enzo Doria07/2014
1990floor((sqrt(5)-1)/2*10^130911)130911Serge Batalov06/2017
19912^434835-111937130899Enzo Doria05/2014
19922^434685+72257130854Enzo Doria04/2016
1993(7*10^130825+113)/3130826Robert Price02/2018
19942^434539-29317130810Enzo Doria07/2015
19952^434469-114259130789Enzo Doria01/2015
19962^434246+33130722Robert Price11/2015
19972^433911-91130621Lelio R Paula06/2017
19982^433744-114419130570Enzo Doria02/2015
19992^433708+1869451130560Enzo Doria05/2016
20002^433710+93130560Lelio R Paula06/2017


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: April, 20 2019 09:21 (Time in France)

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