PRP Records

Probable Primes Top 10000

(247113 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 ?
17513*10^136829+29136830Robert Price05/2018
17524*10^136813-57136814Robert Price10/2018
1753(6092*28^94536-143)/9136812Curtis Bright05/2015
17542^454348-53136773Lelio R Paula09/2017
175531^91680-2136729Lelio R Paula05/2017
17562^454199-113697136728Enzo Doria09/2014
1757(13*10^136687+47)/3136688Robert Price10/2018
17582^453935-2791357136649Enzo Doria01/2016
17592^453906-69131136640Enzo Doria11/2015
17602^453791+1873913136605Enzo Doria06/2016
1761(21*2^453740-1)/2735136588Lelio R Paula07/2015
17622^453503-2788297136519Enzo Doria11/2015
17632^453267-113827136447Enzo Doria09/2014
17642^453102+1877629136398Enzo Doria08/2016
1765L(651821)136223Henri Lifchitz09/2008
17662^452460+77701136205Enzo Doria05/2016
17672^452440-114755136199Enzo Doria04/2015
17682*10^136057-43136058Robert Price04/2018
1769(2^451956-5)/181136051Lelio R Paula07/2015
17702^451947-22165136050Enzo Doria07/2013
17712^451787-21805136002Enzo Doria07/2013
17722^451734-112817135986Enzo Doria06/2014
1773(11*2^451714+1)/75135979Lelio R Paula07/2015
17742^451705-21879135977Enzo Doria07/2013
17752^451560-112349135934Enzo Doria06/2014
17762^451530+45135925Lelio R Paula08/2017
17772^451450-21743135900Enzo Doria07/2013
17782^450805+65135706Lelio R Paula08/2017
1779(13725^32768+1)/131074135573Lelio R Paula03/2012
1780(5^193939+1)/6135557Paul Bourdelais12/2008
17812^449944-113247135447Enzo Doria07/2014
17822^449770-113247135395Enzo Doria07/2014
17832^449637-21471135355Enzo Doria07/2013
17842^449571-75135335Lelio R Paula08/2017
1785(3*2^449494+1)/61340334013135301Lelio R Paula07/2015
1786(13*10^135279+437)/9135280Robert Price04/2018
17872^449330-35135262Lelio R Paula08/2017
1788(19*2^449325+1)/9135261Lelio R Paula07/2015
1789(13*10^135184-43)/3135185Robert Price11/2018
17902^449049-115309135178Enzo Doria07/2015
1791(10^135174+191)/3135174Robert Price02/2018
17922^449030-15135172Lelio R Paula08/2017
1793(27*2^448936-1)/11135144Lelio R Paula07/2015
17942^448762-351401135091Enzo Doria07/2015
17952*10^135083-43135084Robert Price04/2018
1796(10^135011+719)/9135011Serge Batalov12/2014
17972^448386-2786261134978Enzo Doria03/2016
17982^448113-113949134896Enzo Doria11/2014
17992^447888-2786639134828Enzo Doria03/2016
18002^447870-396765134823Enzo Doria07/2013
18012^447766-21791134791Enzo Doria07/2013
1802(23*2^447647+1)/155134755Lelio R Paula07/2015
18032^447552-1019134727Yves Minet02/2014
1804(2*10^134720-41)/3134720Robert Price02/2018
18052^447437-113569134692Enzo Doria08/2014
18062^447426-65134689Lelio R Paula08/2017
18072^447357-2797573134668Enzo Doria04/2016
18082^447278+93134645Lelio R Paula08/2017
18092^447094-113193134589Enzo Doria07/2014
18103^282041-9934134568Enzo Doria05/2014
18112^447019-109039134567Enzo Doria04/2014
18122^446990-22041134558Enzo Doria07/2013
1813123^64370+122134528Karsten Bonath04/2018
18142^446782-39701134495Enzo Doria09/2015
18152^446494-16485134409Enzo Doria04/2013
181629504^30069-30069^29504134405Norbert Schneider12/2014
18172^446441+65134393Lelio R Paula08/2017
1818(10^134385+719)/9134385Serge Batalov12/2014
1819(2*10^134364+529)/9134364Robert Price01/2018
1820(13*2^446187-1)/661134314Lelio R Paula07/2015
1821(2^446022-7)/339134264Lelio R Paula07/2015
182263^74568+2134174Lelio R Paula06/2017
18232^445671-22071134161Enzo Doria07/2013
1824(28*10^134122-1)/9134123Serge Batalov10/2014
18252^445515-113859134114Enzo Doria10/2014
18262^445328-216917134058Enzo Doria05/2014
18272^445202+1874899134020Enzo Doria06/2016
1828(13*2^445102+1)/17133989Lelio R Paula07/2015
1829(35*10^133979-593)/9133980Robert Price07/2018
18302*10^133955+51133956Robert Price05/2018
18312^444964-113639133948Enzo Doria08/2014
183228118^30097-30097^28118133902Norbert Schneider01/2015
18332^444784-113859133894Enzo Doria10/2014
1834(89*10^133580+1)/9133581Serge Batalov05/2010
183562^74521-61^74521133571Robert Price05/2013
18362^443198-1867301133416Enzo Doria03/2016
1837(71^72043-1)/70133369Paul Bourdelais09/2017
18382^442799+1874633133296Enzo Doria06/2016
1839L(637751)133283Henri Lifchitz09/2008
1840109^65410-2133269Lelio R Paula10/2017
18412^442688-113489133263Enzo Doria08/2014
1842(7*2^442640-1)/783133246Lelio R Paula07/2015
1843(9*2^442463+1)/17441133192Lelio R Paula07/2015
18442^442437-1849993133187Enzo Doria08/2015
18452^442430-2791721133185Enzo Doria03/2016
1846(13*2^442428-1)/309133183Lelio R Paula07/2015
1847(25*2^442379-1)/71133169Lelio R Paula07/2015
1848(2^441799+78557)/5132995Lelio R Paula07/2015
18492^441781-2787883132990Enzo Doria03/2016
1850(3*2^441685+1)/749132959Lelio R Paula07/2015
18512^441618+37132941Lelio R Paula08/2017
18522^441521-113575132912Enzo Doria08/2014
18532^441396-65132874Lelio R Paula08/2017
18542^441330+1871959132854Enzo Doria05/2016
18552^441063+383132774Lelio R Paula06/2012
18562^440846+1870909132708Enzo Doria05/2016
18572^440656-113489132651Enzo Doria08/2014
1858numbpart(14180123587)132646Serge Batalov04/2017
1859(2^440399-1)/(16210820281161978209*31518475633*880799)132538Dario Alpern01/2015
1860(38^83891+1)/39132529Robert Price09/2013
18612*10^132493-43132494Robert Price04/2018
18622^439931-21132433Lelio R Paula08/2017
186347^79201-46^79201132432Robert Price10/2012
18642^439897-113653132423Enzo Doria08/2014
1865(5*2^439822+1)/9132400Lelio R Paula06/2015
1866(112*10^132337-1)/3132339Serge Batalov12/2014
18672^439576-113247132326Enzo Doria07/2014
18682^439497-29143132302Enzo Doria07/2015
18692^439409-114193132276Enzo Doria12/2014
18709*10^132148-7132149Robert Price09/2015
18712^438845+1870217132106Enzo Doria05/2016
18722^438789+87855132089Lelio R Paula01/2016
18732^438774-2786411132085Enzo Doria03/2016
18742^438755-1848205132079Enzo Doria07/2015
18752^438739-112087132074Enzo Doria06/2014
187613907#+(318259#)/(13907#)131923Makoto Morimoto10/2017
1877L(631181)131910Henri Lifchitz09/2008
1878(3*2^438121+1)/4308193883131879Lelio R Paula06/2015
18792^438079-1863877131875Enzo Doria03/2016
1880(2^438067+5)/329131869Lelio R Paula06/2015
18812^437908-113855131824Enzo Doria09/2014
18822^437884-286349131817Enzo Doria07/2015
1883(11*10^131784-17)/3131785Robert Price06/2018
18843^276062-112292131716Enzo Doria07/2014
18852^437343+75953131654Enzo Doria04/2016
188635^85243-34^85243131621Robert Price05/2012
1887(68^71713+1)/69131413Paul Bourdelais09/2017
18882^436451+1884713131385Enzo Doria03/2017
18892^436365+35131359Robert Price11/2015
18912^436300+1866871131340Enzo Doria03/2016
1890(7*10^131339+179)/3131340Robert Price09/2018
1892(37*10^131270+341)/9131271Robert Price08/2018
1893(5*10^131223-29)/3131224Robert Price03/2018
1894(23*2^435891-1)/699131215Lelio R Paula07/2015
1895(11*2^435879+1)/3337131211Lelio R Paula06/2015
1896(2^435808+1)/641/6700417131182Lelio R Paula02/2012
1897(2^435808+1)/4294967297131182Serge Batalov12/2016
18982^435773+1875557131181Enzo Doria06/2016
1899(25*10^131144-7)/9131145Robert Price05/2018
19002^435612-2789939131133Enzo Doria12/2015
190166^72047-65^72047131093Robert Price09/2013
1902(5*10^131090+37)/3131091Robert Price03/2018
19032^435468+75631131089Enzo Doria04/2016
190437^83588-2131083Lelio R Paula08/2015
1905(4^217720+11)/3131081Robert Price02/2017
19062^435202-113193131009Enzo Doria07/2014
1907floor((sqrt(5)-1)/2*10^130911)130911Serge Batalov06/2017
19082^434835-111937130899Enzo Doria05/2014
19092^434685+72257130854Enzo Doria04/2016
1910(7*10^130825+113)/3130826Robert Price02/2018
19112^434539-29317130810Enzo Doria07/2015
19122^434469-114259130789Enzo Doria01/2015
19132^434246+33130722Robert Price11/2015
19142^433911-91130621Lelio R Paula06/2017
19152^433744-114419130570Enzo Doria02/2015
19172^433708+1869451130560Enzo Doria05/2016
19162^433710+93130560Lelio R Paula06/2017
1918(29*2^433547-1)/27130511Lelio R Paula06/2015
19194*10^130480+9130481Robert Price05/2015
1920(23*2^433449-1)/75130481Lelio R Paula06/2015
1921(23*2^433334-1)/3731130445Lelio R Paula06/2015
19222^433023-113497130353Enzo Doria08/2014
19232^433002+1179379130347Enzo Doria06/2016
19242^432974+19130339Robert Price08/2015
1925(2^432457-1)/1672739247834685086279697130159Tony Prest / Never Odd Or Even09/2013
19262^432217+41130111Lelio R Paula06/2017
1927(2^216089*(2^216091-1)-339)/25130098Makoto Morimoto03/2017
1928((2^216091+1066)^2+(2^216091+1066)+41)/47/2069130095Makoto Morimoto05/2016
192997^65480-2130094Lelio R Paula05/2017
19304*10^130088-89130089Robert Price11/2018
19312^432117-113215130081Enzo Doria07/2014
19322^431804+72511129986Enzo Doria04/2016
1933(3^272141-3^136071+1)/7129844Serge Batalov03/2014
1934(9*2^431141+1)/17129787Lelio R Paula06/2015
1935(29*2^430881-1)/21129709Lelio R Paula06/2015
19362^430807+1869563129686Enzo Doria05/2016
19372^430721-21429129660Enzo Doria07/2013
19382^430415-276271129568Enzo Doria07/2015
19392^430142-2791721129486Enzo Doria03/2016
1940(7*10^129472-13)/3129473Robert Price07/2018
19412^429568-21017129313Enzo Doria07/2013
1942(11*10^129239-179)/3129240Robert Price09/2018
19432^429194-112685129201Enzo Doria06/2014
19442^429145-2780449129186Enzo Doria04/2016
19452^428892-113453129110Enzo Doria07/2014
1946(11*2^428881-7)/15129106Renaud Lifchitz03/2011
19472^428727-113959129060Enzo Doria10/2014
1948(7*2^428725-1)/13129059Lelio R Paula05/2014
1949(10^129051-31)/3129051Serge Batalov12/2014
19502^428564+71161129011Enzo Doria04/2016
19512^428502-113285128992Enzo Doria07/2014
19522^428421-21373128968Enzo Doria06/2013
1953L(616787)128901Henri Lifchitz09/2008
195491^65772-2128851Lelio R Paula05/2017
19552^428022+43128848Lelio R Paula05/2017
19562^427999-459397128841Enzo Doria05/2015
19572^427993+76847128839Enzo Doria05/2016
19582^427824-1851507128788Enzo Doria08/2015
19592^427807-21469128783Enzo Doria07/2013
196011^123594-240128710Enzo Doria09/2012
19612^427504-21503128692Enzo Doria07/2013
19622^427420+91128667Lelio R Paula05/2017
19632^427269-113635128621Enzo Doria08/2014
19642^427130+1877569128579Enzo Doria08/2016
19652^427016-115349128545Enzo Doria07/2015
1966(4*10^128510+137)/3128511Robert Price03/2018
19672^426889-112879128507Enzo Doria06/2014
19682^426804+1869931128481Enzo Doria05/2016
19692^426750+77635128465Enzo Doria05/2016
19702^426425-91128367Lelio R Paula05/2017
1971(15*2^426398-1)/11128359Lelio R Paula05/2014
19722^426352+74971128345Enzo Doria04/2016
19734*10^128343-21128344Robert Price09/2018
19742^426300-1863689128330Enzo Doria03/2016
19752^426293+1881017128327Enzo Doria11/2016
19762^426043+35128252Robert Price11/2015
1977(4*10^128244-19)/3128245Robert Price03/2018
19782^425808-459959128181Enzo Doria06/2015
19792^425627-113605128127Enzo Doria08/2014
198018565^30002-30002^18565128070Norbert Schneider01/2015
1981(2^425287-9)/2737128021Lelio R Paula05/2015
1982(3*2^425233-1)/25128007Lelio R Paula05/2014
19832^425205+4911128000Marek Hubal02/2017
19842^425118-113663127974Enzo Doria08/2014
19852^425061+1869761127957Enzo Doria05/2016
19862^424918-21141127914Enzo Doria07/2013
19872^424864-29489127897Enzo Doria08/2015
1988(97*10^127858-1)/3127860Serge Batalov12/2014
19892^424632-2786639127827Enzo Doria03/2016
19902^424577-113755127811Enzo Doria09/2014
1991(7*2^424512-1)/3127792Lelio R Paula05/2014
199211^122629-720127705Enzo Doria11/2012
19932^423696-21429127546Enzo Doria07/2013
19942^423664-1864559127536Enzo Doria03/2016
19953^267267-4127519Henri Lifchitz10/2014
1996(19^99689+5^99689)/24127477Robert Price09/2013
1997(21*2^423372+1)/101127447Lelio R Paula05/2014
19982^423328-21537127435Enzo Doria07/2013
1999(2^423165-7)/25127384Lelio R Paula05/2015
2000(F(5)^182099-F(4)^182099)/F(3)127282Wayne Halsdorf08/2013


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: December, 11 2018 05:54 (Time in France)

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