PRP Records

Probable Primes Top 10000

(252402 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 ?
1751(37^87421-1)/36137093Robert Price03/2012
17522^455323-57137066Lelio R Paula09/2017
1753(73*17^111333-9)/16136991Curtis Bright05/2015
17542^455025-112723136977Enzo Doria06/2014
17552^454675-1777136871Yves Minet10/2011
17563*10^136829+29136830Robert Price05/2018
17574*10^136813-57136814Robert Price10/2018
1758(6092*28^94536-143)/9136812Curtis Bright05/2015
17592^454348-53136773Lelio R Paula09/2017
176031^91680-2136729Lelio R Paula05/2017
17612^454199-113697136728Enzo Doria09/2014
1762(13*10^136687+47)/3136688Robert Price10/2018
17632^453935-2791357136649Enzo Doria01/2016
17642^453906-69131136640Enzo Doria11/2015
17652^453791+1873913136605Enzo Doria06/2016
1766(21*2^453740-1)/2735136588Lelio R Paula07/2015
17672^453503-2788297136519Enzo Doria11/2015
17682^453267-113827136447Enzo Doria09/2014
17692^453102+1877629136398Enzo Doria08/2016
1770L(651821)136223Henri Lifchitz09/2008
17712^452460+77701136205Enzo Doria05/2016
17722^452440-114755136199Enzo Doria04/2015
17732*10^136057-43136058Robert Price04/2018
1774(2^451956-5)/181136051Lelio R Paula07/2015
17752^451947-22165136050Enzo Doria07/2013
17762^451787-21805136002Enzo Doria07/2013
17772^451734-112817135986Enzo Doria06/2014
1778(11*2^451714+1)/75135979Lelio R Paula07/2015
17792^451705-21879135977Enzo Doria07/2013
17802^451560-112349135934Enzo Doria06/2014
17812^451530+45135925Lelio R Paula08/2017
17822^451450-21743135900Enzo Doria07/2013
17832^450805+65135706Lelio R Paula08/2017
1784(13725^32768+1)/131074135573Lelio R Paula03/2012
1785(5^193939+1)/6135557Paul Bourdelais12/2008
17862^449944-113247135447Enzo Doria07/2014
17872^449770-113247135395Enzo Doria07/2014
17882^449637-21471135355Enzo Doria07/2013
17892^449571-75135335Lelio R Paula08/2017
1790(14*10^135301-53)/3135302Robert Price12/2018
1791(3*2^449494+1)/61340334013135301Lelio R Paula07/2015
1792(13*10^135279+437)/9135280Robert Price04/2018
17932^449330-35135262Lelio R Paula08/2017
1794(19*2^449325+1)/9135261Lelio R Paula07/2015
1795(13*10^135184-43)/3135185Robert Price11/2018
17962^449049-115309135178Enzo Doria07/2015
1797(10^135174+191)/3135174Robert Price02/2018
17982^449030-15135172Lelio R Paula08/2017
1799(27*2^448936-1)/11135144Lelio R Paula07/2015
18002^448762-351401135091Enzo Doria07/2015
18012*10^135083-43135084Robert Price04/2018
1802(10^135011+719)/9135011Serge Batalov12/2014
18032^448386-2786261134978Enzo Doria03/2016
18042^448113-113949134896Enzo Doria11/2014
18052^447888-2786639134828Enzo Doria03/2016
18062^447870-396765134823Enzo Doria07/2013
18072^447766-21791134791Enzo Doria07/2013
1808(23*2^447647+1)/155134755Lelio R Paula07/2015
18092^447552-1019134727Yves Minet02/2014
1810(2*10^134720-41)/3134720Robert Price02/2018
18112^447437-113569134692Enzo Doria08/2014
18122^447426-65134689Lelio R Paula08/2017
18132^447357-2797573134668Enzo Doria04/2016
18142^447278+93134645Lelio R Paula08/2017
18152^447094-113193134589Enzo Doria07/2014
18163^282041-9934134568Enzo Doria05/2014
18172^447019-109039134567Enzo Doria04/2014
18182^446990-22041134558Enzo Doria07/2013
1819123^64370+122134528Karsten Bonath04/2018
18202^446782-39701134495Enzo Doria09/2015
18212^446494-16485134409Enzo Doria04/2013
182229504^30069-30069^29504134405Norbert Schneider12/2014
18232^446441+65134393Lelio R Paula08/2017
1824(10^134385+719)/9134385Serge Batalov12/2014
1825(2*10^134364+529)/9134364Robert Price01/2018
1826(13*2^446187-1)/661134314Lelio R Paula07/2015
1827(2^446022-7)/339134264Lelio R Paula07/2015
182863^74568+2134174Lelio R Paula06/2017
18292^445671-22071134161Enzo Doria07/2013
1830(28*10^134122-1)/9134123Serge Batalov10/2014
18312^445515-113859134114Enzo Doria10/2014
18322^445328-216917134058Enzo Doria05/2014
18332^445202+1874899134020Enzo Doria06/2016
1834(13*2^445102+1)/17133989Lelio R Paula07/2015
1835(35*10^133979-593)/9133980Robert Price07/2018
18362*10^133955+51133956Robert Price05/2018
18372^444964-113639133948Enzo Doria08/2014
183828118^30097-30097^28118133902Norbert Schneider01/2015
18392^444784-113859133894Enzo Doria10/2014
1840(89*10^133580+1)/9133581Serge Batalov05/2010
184162^74521-61^74521133571Robert Price05/2013
18422^443198-1867301133416Enzo Doria03/2016
1843(71^72043-1)/70133369Paul Bourdelais09/2017
18442^442799+1874633133296Enzo Doria06/2016
1845L(637751)133283Henri Lifchitz09/2008
1846109^65410-2133269Lelio R Paula10/2017
18472^442688-113489133263Enzo Doria08/2014
1848(7*2^442640-1)/783133246Lelio R Paula07/2015
1849(9*2^442463+1)/17441133192Lelio R Paula07/2015
18502^442437-1849993133187Enzo Doria08/2015
18512^442430-2791721133185Enzo Doria03/2016
1852(13*2^442428-1)/309133183Lelio R Paula07/2015
1853(25*2^442379-1)/71133169Lelio R Paula07/2015
1854(2^441799+78557)/5132995Lelio R Paula07/2015
18552^441781-2787883132990Enzo Doria03/2016
1856(3*2^441685+1)/749132959Lelio R Paula07/2015
18572^441618+37132941Lelio R Paula08/2017
18582^441521-113575132912Enzo Doria08/2014
18592^441396-65132874Lelio R Paula08/2017
18602^441330+1871959132854Enzo Doria05/2016
18612^441063+383132774Lelio R Paula06/2012
18622^440846+1870909132708Enzo Doria05/2016
18632^440656-113489132651Enzo Doria08/2014
1864numbpart(14180123587)132646Serge Batalov04/2017
1865(2^440399-1)/(16210820281161978209*31518475633*880799)132538Dario Alpern01/2015
1866(38^83891+1)/39132529Robert Price09/2013
18672*10^132493-43132494Robert Price04/2018
18682^439931-21132433Lelio R Paula08/2017
186947^79201-46^79201132432Robert Price10/2012
18702^439897-113653132423Enzo Doria08/2014
1871(5*2^439822+1)/9132400Lelio R Paula06/2015
1872(112*10^132337-1)/3132339Serge Batalov12/2014
18732^439576-113247132326Enzo Doria07/2014
18742^439497-29143132302Enzo Doria07/2015
18752^439409-114193132276Enzo Doria12/2014
18769*10^132148-7132149Robert Price09/2015
18772^438845+1870217132106Enzo Doria05/2016
18782^438789+87855132089Lelio R Paula01/2016
18792^438774-2786411132085Enzo Doria03/2016
18802^438755-1848205132079Enzo Doria07/2015
18812^438739-112087132074Enzo Doria06/2014
188213907#+(318259#)/(13907#)131923Makoto Morimoto10/2017
1883L(631181)131910Henri Lifchitz09/2008
1884(3*2^438121+1)/4308193883131879Lelio R Paula06/2015
18852^438079-1863877131875Enzo Doria03/2016
1886(2^438067+5)/329131869Lelio R Paula06/2015
18872^437908-113855131824Enzo Doria09/2014
18882^437884-286349131817Enzo Doria07/2015
1889(11*10^131784-17)/3131785Robert Price06/2018
18903^276062-112292131716Enzo Doria07/2014
18912^437343+75953131654Enzo Doria04/2016
189235^85243-34^85243131621Robert Price05/2012
1893(68^71713+1)/69131413Paul Bourdelais09/2017
18942^436451+1884713131385Enzo Doria03/2017
18952^436365+35131359Robert Price11/2015
18972^436300+1866871131340Enzo Doria03/2016
1896(7*10^131339+179)/3131340Robert Price09/2018
1898(37*10^131270+341)/9131271Robert Price08/2018
1899(5*10^131223-29)/3131224Robert Price03/2018
1900(23*2^435891-1)/699131215Lelio R Paula07/2015
1901(11*2^435879+1)/3337131211Lelio R Paula06/2015
1903(2^435808+1)/641/6700417131182Lelio R Paula02/2012
1902(2^435808+1)/4294967297131182Serge Batalov12/2016
19042^435773+1875557131181Enzo Doria06/2016
1905(25*10^131144-7)/9131145Robert Price05/2018
19062^435612-2789939131133Enzo Doria12/2015
190766^72047-65^72047131093Robert Price09/2013
1908(5*10^131090+37)/3131091Robert Price03/2018
19092^435468+75631131089Enzo Doria04/2016
191037^83588-2131083Lelio R Paula08/2015
1911(4^217720+11)/3131081Robert Price02/2017
19122^435202-113193131009Enzo Doria07/2014
1913floor((sqrt(5)-1)/2*10^130911)130911Serge Batalov06/2017
19142^434835-111937130899Enzo Doria05/2014
19152^434685+72257130854Enzo Doria04/2016
1916(7*10^130825+113)/3130826Robert Price02/2018
19172^434539-29317130810Enzo Doria07/2015
19182^434469-114259130789Enzo Doria01/2015
19192^434246+33130722Robert Price11/2015
19202^433911-91130621Lelio R Paula06/2017
19212^433744-114419130570Enzo Doria02/2015
19232^433708+1869451130560Enzo Doria05/2016
19222^433710+93130560Lelio R Paula06/2017
1924(29*2^433547-1)/27130511Lelio R Paula06/2015
19254*10^130480+9130481Robert Price05/2015
1926(23*2^433449-1)/75130481Lelio R Paula06/2015
1927(23*2^433334-1)/3731130445Lelio R Paula06/2015
19282^433023-113497130353Enzo Doria08/2014
19292^433002+1179379130347Enzo Doria06/2016
19302^432974+19130339Robert Price08/2015
1931(2^432457-1)/1672739247834685086279697130159Tony Prest / Never Odd Or Even09/2013
19322^432217+41130111Lelio R Paula06/2017
1933(2^216089*(2^216091-1)-339)/25130098Makoto Morimoto03/2017
1934((2^216091+1066)^2+(2^216091+1066)+41)/47/2069130095Makoto Morimoto05/2016
193597^65480-2130094Lelio R Paula05/2017
19364*10^130088-89130089Robert Price11/2018
19372^432117-113215130081Enzo Doria07/2014
19382^431804+72511129986Enzo Doria04/2016
1939(3^272141-3^136071+1)/7129844Serge Batalov03/2014
1940(9*2^431141+1)/17129787Lelio R Paula06/2015
1941(29*2^430881-1)/21129709Lelio R Paula06/2015
19422^430807+1869563129686Enzo Doria05/2016
19432^430721-21429129660Enzo Doria07/2013
19442^430415-276271129568Enzo Doria07/2015
19452^430142-2791721129486Enzo Doria03/2016
1946(7*10^129472-13)/3129473Robert Price07/2018
19472^429568-21017129313Enzo Doria07/2013
1948(11*10^129239-179)/3129240Robert Price09/2018
19492^429194-112685129201Enzo Doria06/2014
19502^429145-2780449129186Enzo Doria04/2016
19512^428892-113453129110Enzo Doria07/2014
1952(11*2^428881-7)/15129106Renaud Lifchitz03/2011
19532^428727-113959129060Enzo Doria10/2014
1954(7*2^428725-1)/13129059Lelio R Paula05/2014
1955(10^129051-31)/3129051Serge Batalov12/2014
19562^428564+71161129011Enzo Doria04/2016
19572^428502-113285128992Enzo Doria07/2014
19582^428421-21373128968Enzo Doria06/2013
1959L(616787)128901Henri Lifchitz09/2008
196091^65772-2128851Lelio R Paula05/2017
19612^428022+43128848Lelio R Paula05/2017
19622^427999-459397128841Enzo Doria05/2015
19632^427993+76847128839Enzo Doria05/2016
19642^427824-1851507128788Enzo Doria08/2015
19652^427807-21469128783Enzo Doria07/2013
196611^123594-240128710Enzo Doria09/2012
19672^427504-21503128692Enzo Doria07/2013
19682^427420+91128667Lelio R Paula05/2017
19692^427269-113635128621Enzo Doria08/2014
19702^427130+1877569128579Enzo Doria08/2016
19712^427016-115349128545Enzo Doria07/2015
1972(4*10^128510+137)/3128511Robert Price03/2018
19732^426889-112879128507Enzo Doria06/2014
19742^426804+1869931128481Enzo Doria05/2016
19752^426750+77635128465Enzo Doria05/2016
19762^426425-91128367Lelio R Paula05/2017
1977(15*2^426398-1)/11128359Lelio R Paula05/2014
19782^426352+74971128345Enzo Doria04/2016
19794*10^128343-21128344Robert Price09/2018
19802^426300-1863689128330Enzo Doria03/2016
19812^426293+1881017128327Enzo Doria11/2016
19822^426043+35128252Robert Price11/2015
1983(4*10^128244-19)/3128245Robert Price03/2018
19842^425808-459959128181Enzo Doria06/2015
19852^425627-113605128127Enzo Doria08/2014
198618565^30002-30002^18565128070Norbert Schneider01/2015
1987(2^425287-9)/2737128021Lelio R Paula05/2015
1988(3*2^425233-1)/25128007Lelio R Paula05/2014
19892^425205+4911128000Marek Hubal02/2017
19902^425118-113663127974Enzo Doria08/2014
19912^425061+1869761127957Enzo Doria05/2016
19922^424918-21141127914Enzo Doria07/2013
19932^424864-29489127897Enzo Doria08/2015
1994(97*10^127858-1)/3127860Serge Batalov12/2014
19952^424632-2786639127827Enzo Doria03/2016
19962^424577-113755127811Enzo Doria09/2014
1997(7*2^424512-1)/3127792Lelio R Paula05/2014
199811^122629-720127705Enzo Doria11/2012
19992^423696-21429127546Enzo Doria07/2013
20002^423664-1864559127536Enzo Doria03/2016


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: December, 17 2018 20:37 (Time in France)

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