PRP Records

Probable Primes Top 10000

(183432 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 ?
15012^452460+77701136205Enzo Doria05/2016
15022^452440-114755136199Enzo Doria04/2015
1503(2^451956-5)/181136051Lelio R Paula07/2015
15042^451947-22165136050Enzo Doria07/2013
15052^451787-21805136002Enzo Doria07/2013
15062^451734-112817135986Enzo Doria06/2014
1507(11*2^451714+1)/75135979Lelio R Paula07/2015
15082^451705-21879135977Enzo Doria07/2013
15092^451560-112349135934Enzo Doria06/2014
15102^451530+45135925Lelio R Paula08/2017
15112^451450-21743135900Enzo Doria07/2013
15122^450805+65135706Lelio R Paula08/2017
1513(13725^32768+1)/131074135573Lelio R Paula03/2012
1514(5^193939+1)/6135557Paul Bourdelais12/2008
15152^449944-113247135447Enzo Doria07/2014
15162^449770-113247135395Enzo Doria07/2014
15172^449637-21471135355Enzo Doria07/2013
15182^449571-75135335Lelio R Paula08/2017
1519(3*2^449494+1)/61340334013135301Lelio R Paula07/2015
15202^449330-35135262Lelio R Paula08/2017
1521(19*2^449325+1)/9135261Lelio R Paula07/2015
15222^449049-115309135178Enzo Doria07/2015
15232^449030-15135172Lelio R Paula08/2017
1524(27*2^448936-1)/11135144Lelio R Paula07/2015
15252^448762-351401135091Enzo Doria07/2015
1526(10^135011+719)/9135011Serge Batalov12/2014
15272^448386-2786261134978Enzo Doria03/2016
15282^448113-113949134896Enzo Doria11/2014
15292^447888-2786639134828Enzo Doria03/2016
15302^447870-396765134823Enzo Doria07/2013
15312^447766-21791134791Enzo Doria07/2013
1532(23*2^447647+1)/155134755Lelio R Paula07/2015
15332^447552-1019134727Yves Minet02/2014
15342^447437-113569134692Enzo Doria08/2014
15352^447426-65134689Lelio R Paula08/2017
15362^447357-2797573134668Enzo Doria04/2016
15372^447278+93134645Lelio R Paula08/2017
15382^447094-113193134589Enzo Doria07/2014
15393^282041-9934134568Enzo Doria05/2014
15402^447019-109039134567Enzo Doria04/2014
15412^446990-22041134558Enzo Doria07/2013
15422^446782-39701134495Enzo Doria09/2015
15432^446494-16485134409Enzo Doria04/2013
154429504^30069-30069^29504134405Norbert Schneider12/2014
15452^446441+65134393Lelio R Paula08/2017
1546(10^134385+719)/9134385Serge Batalov12/2014
1547(13*2^446187-1)/661134314Lelio R Paula07/2015
1548(2^446022-7)/339134264Lelio R Paula07/2015
154963^74568+2134174Lelio R Paula06/2017
15502^445671-22071134161Enzo Doria07/2013
1551(28*10^134122-1)/9134123Serge Batalov10/2014
15522^445515-113859134114Enzo Doria10/2014
15532^445328-216917134058Enzo Doria05/2014
15542^445202+1874899134020Enzo Doria06/2016
1555(13*2^445102+1)/17133989Lelio R Paula07/2015
15562^444964-113639133948Enzo Doria08/2014
155728118^30097-30097^28118133902Norbert Schneider01/2015
15582^444784-113859133894Enzo Doria10/2014
1559(89*10^133580+1)/9133581Serge Batalov05/2010
156062^74521-61^74521133571Robert Price05/2013
15612^443198-1867301133416Enzo Doria03/2016
1562(71^72043-1)/70133369Paul Bourdelais09/2017
15632^442799+1874633133296Enzo Doria06/2016
1564L(637751)133283Henri Lifchitz09/2008
15652^442688-113489133263Enzo Doria08/2014
1566(7*2^442640-1)/783133246Lelio R Paula07/2015
1567(9*2^442463+1)/17441133192Lelio R Paula07/2015
15682^442437-1849993133187Enzo Doria08/2015
15692^442430-2791721133185Enzo Doria03/2016
1570(13*2^442428-1)/309133183Lelio R Paula07/2015
1571(25*2^442379-1)/71133169Lelio R Paula07/2015
1572(2^441799+78557)/5132995Lelio R Paula07/2015
15732^441781-2787883132990Enzo Doria03/2016
1574(3*2^441685+1)/749132959Lelio R Paula07/2015
15752^441618+37132941Lelio R Paula08/2017
15762^441521-113575132912Enzo Doria08/2014
15772^441396-65132874Lelio R Paula08/2017
15782^441330+1871959132854Enzo Doria05/2016
15792^441063+383132774Lelio R Paula06/2012
15802^440846+1870909132708Enzo Doria05/2016
15812^440656-113489132651Enzo Doria08/2014
1582numbpart(14180123587)132646Serge Batalov04/2017
1583(2^440399-1)/(16210820281161978209*31518475633*880799)132538Dario Alpern01/2015
1584(38^83891+1)/39132529Robert Price09/2013
15852^439931-21132433Lelio R Paula08/2017
158647^79201-46^79201132432Robert Price10/2012
15872^439897-113653132423Enzo Doria08/2014
1588(5*2^439822+1)/9132400Lelio R Paula06/2015
1589(112*10^132337-1)/3132339Serge Batalov12/2014
15902^439576-113247132326Enzo Doria07/2014
15912^439497-29143132302Enzo Doria07/2015
15922^439409-114193132276Enzo Doria12/2014
15939*10^132148-7132149Robert Price09/2015
15942^438845+1870217132106Enzo Doria05/2016
15952^438789+87855132089Lelio R Paula01/2016
15962^438774-2786411132085Enzo Doria03/2016
15972^438755-1848205132079Enzo Doria07/2015
15982^438739-112087132074Enzo Doria06/2014
1599L(631181)131910Henri Lifchitz09/2008
1600(3*2^438121+1)/4308193883131879Lelio R Paula06/2015
16012^438079-1863877131875Enzo Doria03/2016
1602(2^438067+5)/329131869Lelio R Paula06/2015
16032^437908-113855131824Enzo Doria09/2014
16042^437884-286349131817Enzo Doria07/2015
16053^276062-112292131716Enzo Doria07/2014
16062^437343+75953131654Enzo Doria04/2016
160735^85243-34^85243131621Robert Price05/2012
1608(68^71713+1)/69131413Paul Bourdelais09/2017
16092^436451+1884713131385Enzo Doria03/2017
16102^436365+35131359Robert Price11/2015
16112^436300+1866871131340Enzo Doria03/2016
1612(23*2^435891-1)/699131215Lelio R Paula07/2015
1613(11*2^435879+1)/3337131211Lelio R Paula06/2015
1615(2^435808+1)/641/6700417131182Lelio R Paula02/2012
1614(2^435808+1)/4294967297131182Serge Batalov12/2016
16162^435773+1875557131181Enzo Doria06/2016
16172^435612-2789939131133Enzo Doria12/2015
161866^72047-65^72047131093Robert Price09/2013
16192^435468+75631131089Enzo Doria04/2016
162037^83588-2131083Lelio R Paula08/2015
1621(4^217720+11)/3131081Robert Price02/2017
16222^435202-113193131009Enzo Doria07/2014
1623floor((sqrt(5)-1)/2*10^130911)130911Serge Batalov06/2017
16242^434835-111937130899Enzo Doria05/2014
16252^434685+72257130854Enzo Doria04/2016
16262^434539-29317130810Enzo Doria07/2015
16272^434469-114259130789Enzo Doria01/2015
16282^434246+33130722Robert Price11/2015
16292^433911-91130621Lelio R Paula06/2017
16302^433744-114419130570Enzo Doria02/2015
16322^433708+1869451130560Enzo Doria05/2016
16312^433710+93130560Lelio R Paula06/2017
1633(29*2^433547-1)/27130511Lelio R Paula06/2015
16344*10^130480+9130481Robert Price05/2015
1635(23*2^433449-1)/75130481Lelio R Paula06/2015
1636(23*2^433334-1)/3731130445Lelio R Paula06/2015
16372^433023-113497130353Enzo Doria08/2014
16382^433002+1179379130347Enzo Doria06/2016
16392^432974+19130339Robert Price08/2015
1640(2^432457-1)/1672739247834685086279697130159Tony Prest / Never Odd Or Even09/2013
16412^432217+41130111Lelio R Paula06/2017
1642(2^216089*(2^216091-1)-339)/25130098Makoto Morimoto03/2017
1643((2^216091+1066)^2+(2^216091+1066)+41)/47/2069130095Makoto Morimoto05/2016
164497^65480-2130094Lelio R Paula05/2017
16452^432117-113215130081Enzo Doria07/2014
16462^431804+72511129986Enzo Doria04/2016
1647(3^272141-3^136071+1)/7129844Serge Batalov03/2014
1648(9*2^431141+1)/17129787Lelio R Paula06/2015
1649(29*2^430881-1)/21129709Lelio R Paula06/2015
16502^430807+1869563129686Enzo Doria05/2016
16512^430721-21429129660Enzo Doria07/2013
16522^430415-276271129568Enzo Doria07/2015
16532^430142-2791721129486Enzo Doria03/2016
16542^429568-21017129313Enzo Doria07/2013
16552^429194-112685129201Enzo Doria06/2014
16562^429145-2780449129186Enzo Doria04/2016
16572^428892-113453129110Enzo Doria07/2014
1658(11*2^428881-7)/15129106Renaud Lifchitz03/2011
16592^428727-113959129060Enzo Doria10/2014
1660(7*2^428725-1)/13129059Lelio R Paula05/2014
1661(10^129051-31)/3129051Serge Batalov12/2014
16622^428564+71161129011Enzo Doria04/2016
16632^428502-113285128992Enzo Doria07/2014
16642^428421-21373128968Enzo Doria06/2013
1665L(616787)128901Henri Lifchitz09/2008
166691^65772-2128851Lelio R Paula05/2017
16672^428022+43128848Lelio R Paula05/2017
16682^427999-459397128841Enzo Doria05/2015
16692^427993+76847128839Enzo Doria05/2016
16702^427824-1851507128788Enzo Doria08/2015
16712^427807-21469128783Enzo Doria07/2013
167211^123594-240128710Enzo Doria09/2012
16732^427504-21503128692Enzo Doria07/2013
16742^427420+91128667Lelio R Paula05/2017
16752^427269-113635128621Enzo Doria08/2014
16762^427130+1877569128579Enzo Doria08/2016
16772^427016-115349128545Enzo Doria07/2015
16782^426889-112879128507Enzo Doria06/2014
16792^426804+1869931128481Enzo Doria05/2016
16802^426750+77635128465Enzo Doria05/2016
16812^426425-91128367Lelio R Paula05/2017
1682(15*2^426398-1)/11128359Lelio R Paula05/2014
16832^426352+74971128345Enzo Doria04/2016
16842^426300-1863689128330Enzo Doria03/2016
16852^426293+1881017128327Enzo Doria11/2016
16862^426043+35128252Robert Price11/2015
16872^425808-459959128181Enzo Doria06/2015
16882^425627-113605128127Enzo Doria08/2014
168918565^30002-30002^18565128070Norbert Schneider01/2015
1690(2^425287-9)/2737128021Lelio R Paula05/2015
1691(3*2^425233-1)/25128007Lelio R Paula05/2014
16922^425205+4911128000Marek Hubal02/2017
16932^425118-113663127974Enzo Doria08/2014
16942^425061+1869761127957Enzo Doria05/2016
16952^424918-21141127914Enzo Doria07/2013
16962^424864-29489127897Enzo Doria08/2015
1697(97*10^127858-1)/3127860Serge Batalov12/2014
16982^424632-2786639127827Enzo Doria03/2016
16992^424577-113755127811Enzo Doria09/2014
1700(7*2^424512-1)/3127792Lelio R Paula05/2014
170111^122629-720127705Enzo Doria11/2012
17022^423696-21429127546Enzo Doria07/2013
17032^423664-1864559127536Enzo Doria03/2016
17043^267267-4127519Henri Lifchitz10/2014
1705(19^99689+5^99689)/24127477Robert Price09/2013
1706(21*2^423372+1)/101127447Lelio R Paula05/2014
17072^423328-21537127435Enzo Doria07/2013
1708(2^423165-7)/25127384Lelio R Paula05/2015
1709(F(5)^182099-F(4)^182099)/F(3)127282Wayne Halsdorf08/2013
1710(234483*27^88884-145)/26127230Curtis Bright05/2015
17112^422515-114997127190Enzo Doria06/2015
17125*10^127179-3127180Robert Price07/2015
1713-516776642557847117490*Bern(37960)/34256837217082767928421792453127042Thomas Ritschel06/2017
1714(78^67141-1)/77127036Paul Bourdelais09/2017
17152^421860-113285126993Enzo Doria07/2014
1716(2^421827-7)/11126982Lelio R Paula05/2015
171711^121910-840126957Enzo Doria12/2012
1718(71^68539+1)/72126882Paul Bourdelais09/2017
1719331^50339-10004126846Enzo Doria07/2012
17202^421363-2790757126843Enzo Doria03/2016
1721(106*10^126839-1)/3126841Serge Batalov12/2014
1722(7*2^421243+1)/39126807Lelio R Paula05/2014
17232^421161-286183126783Enzo Doria06/2015
17242^420939-113935126716Enzo Doria10/2014
17252^420741-113659126656Enzo Doria08/2014
17262^420694-21126642Lelio R Paula05/2017
1727(31*2^420556+1)/7126601Lelio R Paula05/2014
17282^420424-59189126561Enzo Doria10/2015
17292^420126+71893126471Enzo Doria04/2016
17302^419866+1877059126393Enzo Doria07/2016
1731F(604711)126377Henri Lifchitz02/2005
17322^419757+72707126360Enzo Doria04/2016
17332^419720-21569126349Enzo Doria07/2013
17342^419637+29126324Henri Lifchitz02/2006
17352^419612+1876741126316Enzo Doria07/2016
17362^419520+2793271126289Enzo Doria03/2016
1737(2^419447-5)/369126264Lelio R Paula05/2014
17382^419328-1859939126231Enzo Doria03/2016
17392^419282-1851507126217Enzo Doria08/2015
17402^419251+1866143126208Enzo Doria03/2016
174111^121185+2126202Robert Price05/2014
1742(23*2^419036-1)/1393126141Lelio R Paula05/2014
17432^418851+23126087Robert Price09/2015
1744(2^418849-9)/2681126083Lelio R Paula05/2014
17452^418829+167126081Lelio R Paula01/2012
1746(31*2^418782-1)/75891126063Lelio R Paula05/2014
1747(19*2^418754-1)/15126058Lelio R Paula05/2014
17482^418319-109501125927Enzo Doria04/2014
17492^418316-112373125926Enzo Doria06/2014
17502^417968+1869811125821Enzo Doria06/2016


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: October, 17 2017 09:44 (Time in France)

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