PRP Records

Probable Primes Top 10000

(224660 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 ?
1751(3*2^449494+1)/61340334013135301Lelio R Paula07/2015
1752(13*10^135279+437)/9135280Robert Price04/2018
17532^449330-35135262Lelio R Paula08/2017
1754(19*2^449325+1)/9135261Lelio R Paula07/2015
17552^449049-115309135178Enzo Doria07/2015
1756(10^135174+191)/3135174Robert Price02/2018
17572^449030-15135172Lelio R Paula08/2017
1758(27*2^448936-1)/11135144Lelio R Paula07/2015
17592^448762-351401135091Enzo Doria07/2015
17602*10^135083-43135084Robert Price04/2018
1761(10^135011+719)/9135011Serge Batalov12/2014
17622^448386-2786261134978Enzo Doria03/2016
17632^448113-113949134896Enzo Doria11/2014
17642^447888-2786639134828Enzo Doria03/2016
17652^447870-396765134823Enzo Doria07/2013
17662^447766-21791134791Enzo Doria07/2013
1767(23*2^447647+1)/155134755Lelio R Paula07/2015
17682^447552-1019134727Yves Minet02/2014
1769(2*10^134720-41)/3134720Robert Price02/2018
17702^447437-113569134692Enzo Doria08/2014
17712^447426-65134689Lelio R Paula08/2017
17722^447357-2797573134668Enzo Doria04/2016
17732^447278+93134645Lelio R Paula08/2017
17742^447094-113193134589Enzo Doria07/2014
17753^282041-9934134568Enzo Doria05/2014
17762^447019-109039134567Enzo Doria04/2014
17772^446990-22041134558Enzo Doria07/2013
1778123^64370+122134528Karsten Bonath04/2018
17792^446782-39701134495Enzo Doria09/2015
17802^446494-16485134409Enzo Doria04/2013
178129504^30069-30069^29504134405Norbert Schneider12/2014
17822^446441+65134393Lelio R Paula08/2017
1783(10^134385+719)/9134385Serge Batalov12/2014
1784(2*10^134364+529)/9134364Robert Price01/2018
1785(13*2^446187-1)/661134314Lelio R Paula07/2015
1786(2^446022-7)/339134264Lelio R Paula07/2015
178763^74568+2134174Lelio R Paula06/2017
17882^445671-22071134161Enzo Doria07/2013
1789(28*10^134122-1)/9134123Serge Batalov10/2014
17902^445515-113859134114Enzo Doria10/2014
17912^445328-216917134058Enzo Doria05/2014
17922^445202+1874899134020Enzo Doria06/2016
1793(13*2^445102+1)/17133989Lelio R Paula07/2015
1794(35*10^133979-593)/9133980Robert Price07/2018
17952*10^133955+51133956Robert Price05/2018
17962^444964-113639133948Enzo Doria08/2014
179728118^30097-30097^28118133902Norbert Schneider01/2015
17982^444784-113859133894Enzo Doria10/2014
1799(89*10^133580+1)/9133581Serge Batalov05/2010
180062^74521-61^74521133571Robert Price05/2013
18012^443198-1867301133416Enzo Doria03/2016
1802(71^72043-1)/70133369Paul Bourdelais09/2017
18032^442799+1874633133296Enzo Doria06/2016
1804L(637751)133283Henri Lifchitz09/2008
1805109^65410-2133269Lelio R Paula10/2017
18062^442688-113489133263Enzo Doria08/2014
1807(7*2^442640-1)/783133246Lelio R Paula07/2015
1808(9*2^442463+1)/17441133192Lelio R Paula07/2015
18092^442437-1849993133187Enzo Doria08/2015
18102^442430-2791721133185Enzo Doria03/2016
1811(13*2^442428-1)/309133183Lelio R Paula07/2015
1812(25*2^442379-1)/71133169Lelio R Paula07/2015
1813(2^441799+78557)/5132995Lelio R Paula07/2015
18142^441781-2787883132990Enzo Doria03/2016
1815(3*2^441685+1)/749132959Lelio R Paula07/2015
18162^441618+37132941Lelio R Paula08/2017
18172^441521-113575132912Enzo Doria08/2014
18182^441396-65132874Lelio R Paula08/2017
18192^441330+1871959132854Enzo Doria05/2016
18202^441063+383132774Lelio R Paula06/2012
18212^440846+1870909132708Enzo Doria05/2016
18222^440656-113489132651Enzo Doria08/2014
1823numbpart(14180123587)132646Serge Batalov04/2017
1824(2^440399-1)/(16210820281161978209*31518475633*880799)132538Dario Alpern01/2015
1825(38^83891+1)/39132529Robert Price09/2013
18262*10^132493-43132494Robert Price04/2018
18272^439931-21132433Lelio R Paula08/2017
182847^79201-46^79201132432Robert Price10/2012
18292^439897-113653132423Enzo Doria08/2014
1830(5*2^439822+1)/9132400Lelio R Paula06/2015
1831(112*10^132337-1)/3132339Serge Batalov12/2014
18322^439576-113247132326Enzo Doria07/2014
18332^439497-29143132302Enzo Doria07/2015
18342^439409-114193132276Enzo Doria12/2014
18359*10^132148-7132149Robert Price09/2015
18362^438845+1870217132106Enzo Doria05/2016
18372^438789+87855132089Lelio R Paula01/2016
18382^438774-2786411132085Enzo Doria03/2016
18392^438755-1848205132079Enzo Doria07/2015
18402^438739-112087132074Enzo Doria06/2014
184113907#+(318259#)/(13907#)131923Makoto Morimoto10/2017
1842L(631181)131910Henri Lifchitz09/2008
1843(3*2^438121+1)/4308193883131879Lelio R Paula06/2015
18442^438079-1863877131875Enzo Doria03/2016
1845(2^438067+5)/329131869Lelio R Paula06/2015
18462^437908-113855131824Enzo Doria09/2014
18472^437884-286349131817Enzo Doria07/2015
1848(11*10^131784-17)/3131785Robert Price06/2018
18493^276062-112292131716Enzo Doria07/2014
18502^437343+75953131654Enzo Doria04/2016
185135^85243-34^85243131621Robert Price05/2012
1852(68^71713+1)/69131413Paul Bourdelais09/2017
18532^436451+1884713131385Enzo Doria03/2017
18542^436365+35131359Robert Price11/2015
18552^436300+1866871131340Enzo Doria03/2016
1856(7*10^131339+179)/3131340Robert Price09/2018
1857(37*10^131270+341)/9131271Robert Price08/2018
1858(5*10^131223-29)/3131224Robert Price03/2018
1859(23*2^435891-1)/699131215Lelio R Paula07/2015
1860(11*2^435879+1)/3337131211Lelio R Paula06/2015
1862(2^435808+1)/641/6700417131182Lelio R Paula02/2012
1861(2^435808+1)/4294967297131182Serge Batalov12/2016
18632^435773+1875557131181Enzo Doria06/2016
1864(25*10^131144-7)/9131145Robert Price05/2018
18652^435612-2789939131133Enzo Doria12/2015
186666^72047-65^72047131093Robert Price09/2013
1867(5*10^131090+37)/3131091Robert Price03/2018
18682^435468+75631131089Enzo Doria04/2016
186937^83588-2131083Lelio R Paula08/2015
1870(4^217720+11)/3131081Robert Price02/2017
18712^435202-113193131009Enzo Doria07/2014
1872floor((sqrt(5)-1)/2*10^130911)130911Serge Batalov06/2017
18732^434835-111937130899Enzo Doria05/2014
18742^434685+72257130854Enzo Doria04/2016
1875(7*10^130825+113)/3130826Robert Price02/2018
18762^434539-29317130810Enzo Doria07/2015
18772^434469-114259130789Enzo Doria01/2015
18782^434246+33130722Robert Price11/2015
18792^433911-91130621Lelio R Paula06/2017
18802^433744-114419130570Enzo Doria02/2015
18822^433708+1869451130560Enzo Doria05/2016
18812^433710+93130560Lelio R Paula06/2017
1883(29*2^433547-1)/27130511Lelio R Paula06/2015
18844*10^130480+9130481Robert Price05/2015
1885(23*2^433449-1)/75130481Lelio R Paula06/2015
1886(23*2^433334-1)/3731130445Lelio R Paula06/2015
18872^433023-113497130353Enzo Doria08/2014
18882^433002+1179379130347Enzo Doria06/2016
18892^432974+19130339Robert Price08/2015
1890(2^432457-1)/1672739247834685086279697130159Tony Prest / Never Odd Or Even09/2013
18912^432217+41130111Lelio R Paula06/2017
1892(2^216089*(2^216091-1)-339)/25130098Makoto Morimoto03/2017
1893((2^216091+1066)^2+(2^216091+1066)+41)/47/2069130095Makoto Morimoto05/2016
189497^65480-2130094Lelio R Paula05/2017
18952^432117-113215130081Enzo Doria07/2014
18962^431804+72511129986Enzo Doria04/2016
1897(3^272141-3^136071+1)/7129844Serge Batalov03/2014
1898(9*2^431141+1)/17129787Lelio R Paula06/2015
1899(29*2^430881-1)/21129709Lelio R Paula06/2015
19002^430807+1869563129686Enzo Doria05/2016
19012^430721-21429129660Enzo Doria07/2013
19022^430415-276271129568Enzo Doria07/2015
19032^430142-2791721129486Enzo Doria03/2016
1904(7*10^129472-13)/3129473Robert Price07/2018
19052^429568-21017129313Enzo Doria07/2013
1906(11*10^129239-179)/3129240Robert Price09/2018
19072^429194-112685129201Enzo Doria06/2014
19082^429145-2780449129186Enzo Doria04/2016
19092^428892-113453129110Enzo Doria07/2014
1910(11*2^428881-7)/15129106Renaud Lifchitz03/2011
19112^428727-113959129060Enzo Doria10/2014
1912(7*2^428725-1)/13129059Lelio R Paula05/2014
1913(10^129051-31)/3129051Serge Batalov12/2014
19142^428564+71161129011Enzo Doria04/2016
19152^428502-113285128992Enzo Doria07/2014
19162^428421-21373128968Enzo Doria06/2013
1917L(616787)128901Henri Lifchitz09/2008
191891^65772-2128851Lelio R Paula05/2017
19192^428022+43128848Lelio R Paula05/2017
19202^427999-459397128841Enzo Doria05/2015
19212^427993+76847128839Enzo Doria05/2016
19222^427824-1851507128788Enzo Doria08/2015
19232^427807-21469128783Enzo Doria07/2013
192411^123594-240128710Enzo Doria09/2012
19252^427504-21503128692Enzo Doria07/2013
19262^427420+91128667Lelio R Paula05/2017
19272^427269-113635128621Enzo Doria08/2014
19282^427130+1877569128579Enzo Doria08/2016
19292^427016-115349128545Enzo Doria07/2015
1930(4*10^128510+137)/3128511Robert Price03/2018
19312^426889-112879128507Enzo Doria06/2014
19322^426804+1869931128481Enzo Doria05/2016
19332^426750+77635128465Enzo Doria05/2016
19342^426425-91128367Lelio R Paula05/2017
1935(15*2^426398-1)/11128359Lelio R Paula05/2014
19362^426352+74971128345Enzo Doria04/2016
19374*10^128343-21128344Robert Price09/2018
19382^426300-1863689128330Enzo Doria03/2016
19392^426293+1881017128327Enzo Doria11/2016
19402^426043+35128252Robert Price11/2015
1941(4*10^128244-19)/3128245Robert Price03/2018
19422^425808-459959128181Enzo Doria06/2015
19432^425627-113605128127Enzo Doria08/2014
194418565^30002-30002^18565128070Norbert Schneider01/2015
1945(2^425287-9)/2737128021Lelio R Paula05/2015
1946(3*2^425233-1)/25128007Lelio R Paula05/2014
19472^425205+4911128000Marek Hubal02/2017
19482^425118-113663127974Enzo Doria08/2014
19492^425061+1869761127957Enzo Doria05/2016
19502^424918-21141127914Enzo Doria07/2013
19512^424864-29489127897Enzo Doria08/2015
1952(97*10^127858-1)/3127860Serge Batalov12/2014
19532^424632-2786639127827Enzo Doria03/2016
19542^424577-113755127811Enzo Doria09/2014
1955(7*2^424512-1)/3127792Lelio R Paula05/2014
195611^122629-720127705Enzo Doria11/2012
19572^423696-21429127546Enzo Doria07/2013
19582^423664-1864559127536Enzo Doria03/2016
19593^267267-4127519Henri Lifchitz10/2014
1960(19^99689+5^99689)/24127477Robert Price09/2013
1961(21*2^423372+1)/101127447Lelio R Paula05/2014
19622^423328-21537127435Enzo Doria07/2013
1963(2^423165-7)/25127384Lelio R Paula05/2015
1964(F(5)^182099-F(4)^182099)/F(3)127282Wayne Halsdorf08/2013
1965(234483*27^88884-145)/26127230Curtis Bright05/2015
19662^422515-114997127190Enzo Doria06/2015
19675*10^127179-3127180Robert Price07/2015
1968-516776642557847117490*Bern(37960)/34256837217082767928421792453127042Thomas Ritschel06/2017
1969(78^67141-1)/77127036Paul Bourdelais09/2017
19702^421860-113285126993Enzo Doria07/2014
1971(2^421827-7)/11126982Lelio R Paula05/2015
197211^121910-840126957Enzo Doria12/2012
1973(71^68539+1)/72126882Paul Bourdelais09/2017
1974(5*10^126871-119)/3126872Robert Price03/2018
1975331^50339-10004126846Enzo Doria07/2012
19762^421363-2790757126843Enzo Doria03/2016
1977(106*10^126839-1)/3126841Serge Batalov12/2014
1978(7*2^421243+1)/39126807Lelio R Paula05/2014
19792^421161-286183126783Enzo Doria06/2015
19802^420939-113935126716Enzo Doria10/2014
1981177^56363-2126703Lelio R Paula10/2017
19822^420741-113659126656Enzo Doria08/2014
19832^420694-21126642Lelio R Paula05/2017
1984(13*10^126638+437)/9126639Robert Price04/2018
19854*10^126625+87126626Robert Price08/2018
1986(31*2^420556+1)/7126601Lelio R Paula05/2014
19872^420424-59189126561Enzo Doria10/2015
19882^420126+71893126471Enzo Doria04/2016
19892^419866+1877059126393Enzo Doria07/2016
1990F(604711)126377Henri Lifchitz02/2005
19912^419757+72707126360Enzo Doria04/2016
19922^419720-21569126349Enzo Doria07/2013
19932^419637+29126324Henri Lifchitz02/2006
19942^419612+1876741126316Enzo Doria07/2016
19952^419520+2793271126289Enzo Doria03/2016
1996(2^419447-5)/369126264Lelio R Paula05/2014
19972^419328-1859939126231Enzo Doria03/2016
19982^419282-1851507126217Enzo Doria08/2015
19992^419251+1866143126208Enzo Doria03/2016
200011^121185+2126202Robert Price05/2014


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: October, 15 2018 21:33 (Time in France)

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