PRP Records

Probable Primes Top 10000

(212140 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 ?
17512^441330+1871959132854Enzo Doria05/2016
17522^441063+383132774Lelio R Paula06/2012
17532^440846+1870909132708Enzo Doria05/2016
17542^440656-113489132651Enzo Doria08/2014
1755numbpart(14180123587)132646Serge Batalov04/2017
1756(2^440399-1)/(16210820281161978209*31518475633*880799)132538Dario Alpern01/2015
1757(38^83891+1)/39132529Robert Price09/2013
17582*10^132493-43132494Robert Price04/2018
17592^439931-21132433Lelio R Paula08/2017
176047^79201-46^79201132432Robert Price10/2012
17612^439897-113653132423Enzo Doria08/2014
1762(5*2^439822+1)/9132400Lelio R Paula06/2015
1763(112*10^132337-1)/3132339Serge Batalov12/2014
17642^439576-113247132326Enzo Doria07/2014
17652^439497-29143132302Enzo Doria07/2015
17662^439409-114193132276Enzo Doria12/2014
17679*10^132148-7132149Robert Price09/2015
17682^438845+1870217132106Enzo Doria05/2016
17692^438789+87855132089Lelio R Paula01/2016
17702^438774-2786411132085Enzo Doria03/2016
17712^438755-1848205132079Enzo Doria07/2015
17722^438739-112087132074Enzo Doria06/2014
177313907#+(318259#)/(13907#)131923Makoto Morimoto10/2017
1774L(631181)131910Henri Lifchitz09/2008
1775(3*2^438121+1)/4308193883131879Lelio R Paula06/2015
17762^438079-1863877131875Enzo Doria03/2016
1777(2^438067+5)/329131869Lelio R Paula06/2015
17782^437908-113855131824Enzo Doria09/2014
17792^437884-286349131817Enzo Doria07/2015
1780(11*10^131784-17)/3131785Robert Price06/2018
17813^276062-112292131716Enzo Doria07/2014
17822^437343+75953131654Enzo Doria04/2016
178335^85243-34^85243131621Robert Price05/2012
1784(68^71713+1)/69131413Paul Bourdelais09/2017
17852^436451+1884713131385Enzo Doria03/2017
17862^436365+35131359Robert Price11/2015
17872^436300+1866871131340Enzo Doria03/2016
1788(5*10^131223-29)/3131224Robert Price03/2018
1789(23*2^435891-1)/699131215Lelio R Paula07/2015
1790(11*2^435879+1)/3337131211Lelio R Paula06/2015
1791(2^435808+1)/641/6700417131182Lelio R Paula02/2012
1792(2^435808+1)/4294967297131182Serge Batalov12/2016
17932^435773+1875557131181Enzo Doria06/2016
1794(25*10^131144-7)/9131145Robert Price05/2018
17952^435612-2789939131133Enzo Doria12/2015
179666^72047-65^72047131093Robert Price09/2013
1797(5*10^131090+37)/3131091Robert Price03/2018
17982^435468+75631131089Enzo Doria04/2016
179937^83588-2131083Lelio R Paula08/2015
1800(4^217720+11)/3131081Robert Price02/2017
18012^435202-113193131009Enzo Doria07/2014
1802floor((sqrt(5)-1)/2*10^130911)130911Serge Batalov06/2017
18032^434835-111937130899Enzo Doria05/2014
18042^434685+72257130854Enzo Doria04/2016
1805(7*10^130825+113)/3130826Robert Price02/2018
18062^434539-29317130810Enzo Doria07/2015
18072^434469-114259130789Enzo Doria01/2015
18082^434246+33130722Robert Price11/2015
18092^433911-91130621Lelio R Paula06/2017
18102^433744-114419130570Enzo Doria02/2015
18122^433708+1869451130560Enzo Doria05/2016
18112^433710+93130560Lelio R Paula06/2017
1813(29*2^433547-1)/27130511Lelio R Paula06/2015
18144*10^130480+9130481Robert Price05/2015
1815(23*2^433449-1)/75130481Lelio R Paula06/2015
1816(23*2^433334-1)/3731130445Lelio R Paula06/2015
18172^433023-113497130353Enzo Doria08/2014
18182^433002+1179379130347Enzo Doria06/2016
18192^432974+19130339Robert Price08/2015
1820(2^432457-1)/1672739247834685086279697130159Tony Prest / Never Odd Or Even09/2013
18212^432217+41130111Lelio R Paula06/2017
1822(2^216089*(2^216091-1)-339)/25130098Makoto Morimoto03/2017
1823((2^216091+1066)^2+(2^216091+1066)+41)/47/2069130095Makoto Morimoto05/2016
182497^65480-2130094Lelio R Paula05/2017
18252^432117-113215130081Enzo Doria07/2014
18262^431804+72511129986Enzo Doria04/2016
1827(3^272141-3^136071+1)/7129844Serge Batalov03/2014
1828(9*2^431141+1)/17129787Lelio R Paula06/2015
1829(29*2^430881-1)/21129709Lelio R Paula06/2015
18302^430807+1869563129686Enzo Doria05/2016
18312^430721-21429129660Enzo Doria07/2013
18322^430415-276271129568Enzo Doria07/2015
18332^430142-2791721129486Enzo Doria03/2016
18342^429568-21017129313Enzo Doria07/2013
18352^429194-112685129201Enzo Doria06/2014
18362^429145-2780449129186Enzo Doria04/2016
18372^428892-113453129110Enzo Doria07/2014
1838(11*2^428881-7)/15129106Renaud Lifchitz03/2011
18392^428727-113959129060Enzo Doria10/2014
1840(7*2^428725-1)/13129059Lelio R Paula05/2014
1841(10^129051-31)/3129051Serge Batalov12/2014
18422^428564+71161129011Enzo Doria04/2016
18432^428502-113285128992Enzo Doria07/2014
18442^428421-21373128968Enzo Doria06/2013
1845L(616787)128901Henri Lifchitz09/2008
184691^65772-2128851Lelio R Paula05/2017
18472^428022+43128848Lelio R Paula05/2017
18482^427999-459397128841Enzo Doria05/2015
18492^427993+76847128839Enzo Doria05/2016
18502^427824-1851507128788Enzo Doria08/2015
18512^427807-21469128783Enzo Doria07/2013
185211^123594-240128710Enzo Doria09/2012
18532^427504-21503128692Enzo Doria07/2013
18542^427420+91128667Lelio R Paula05/2017
18552^427269-113635128621Enzo Doria08/2014
18562^427130+1877569128579Enzo Doria08/2016
18572^427016-115349128545Enzo Doria07/2015
1858(4*10^128510+137)/3128511Robert Price03/2018
18592^426889-112879128507Enzo Doria06/2014
18602^426804+1869931128481Enzo Doria05/2016
18612^426750+77635128465Enzo Doria05/2016
18622^426425-91128367Lelio R Paula05/2017
1863(15*2^426398-1)/11128359Lelio R Paula05/2014
18642^426352+74971128345Enzo Doria04/2016
18652^426300-1863689128330Enzo Doria03/2016
18662^426293+1881017128327Enzo Doria11/2016
18672^426043+35128252Robert Price11/2015
1868(4*10^128244-19)/3128245Robert Price03/2018
18692^425808-459959128181Enzo Doria06/2015
18702^425627-113605128127Enzo Doria08/2014
187118565^30002-30002^18565128070Norbert Schneider01/2015
1872(2^425287-9)/2737128021Lelio R Paula05/2015
1873(3*2^425233-1)/25128007Lelio R Paula05/2014
18742^425205+4911128000Marek Hubal02/2017
18752^425118-113663127974Enzo Doria08/2014
18762^425061+1869761127957Enzo Doria05/2016
18772^424918-21141127914Enzo Doria07/2013
18782^424864-29489127897Enzo Doria08/2015
1879(97*10^127858-1)/3127860Serge Batalov12/2014
18802^424632-2786639127827Enzo Doria03/2016
18812^424577-113755127811Enzo Doria09/2014
1882(7*2^424512-1)/3127792Lelio R Paula05/2014
188311^122629-720127705Enzo Doria11/2012
18842^423696-21429127546Enzo Doria07/2013
18852^423664-1864559127536Enzo Doria03/2016
18863^267267-4127519Henri Lifchitz10/2014
1887(19^99689+5^99689)/24127477Robert Price09/2013
1888(21*2^423372+1)/101127447Lelio R Paula05/2014
18892^423328-21537127435Enzo Doria07/2013
1890(2^423165-7)/25127384Lelio R Paula05/2015
1891(F(5)^182099-F(4)^182099)/F(3)127282Wayne Halsdorf08/2013
1892(234483*27^88884-145)/26127230Curtis Bright05/2015
18932^422515-114997127190Enzo Doria06/2015
18945*10^127179-3127180Robert Price07/2015
1895-516776642557847117490*Bern(37960)/34256837217082767928421792453127042Thomas Ritschel06/2017
1896(78^67141-1)/77127036Paul Bourdelais09/2017
18972^421860-113285126993Enzo Doria07/2014
1898(2^421827-7)/11126982Lelio R Paula05/2015
189911^121910-840126957Enzo Doria12/2012
1900(71^68539+1)/72126882Paul Bourdelais09/2017
1901(5*10^126871-119)/3126872Robert Price03/2018
1902331^50339-10004126846Enzo Doria07/2012
19032^421363-2790757126843Enzo Doria03/2016
1904(106*10^126839-1)/3126841Serge Batalov12/2014
1905(7*2^421243+1)/39126807Lelio R Paula05/2014
19062^421161-286183126783Enzo Doria06/2015
19072^420939-113935126716Enzo Doria10/2014
1908177^56363-2126703Lelio R Paula10/2017
19092^420741-113659126656Enzo Doria08/2014
19102^420694-21126642Lelio R Paula05/2017
1911(13*10^126638+437)/9126639Robert Price04/2018
1912(31*2^420556+1)/7126601Lelio R Paula05/2014
19132^420424-59189126561Enzo Doria10/2015
19142^420126+71893126471Enzo Doria04/2016
19152^419866+1877059126393Enzo Doria07/2016
1916F(604711)126377Henri Lifchitz02/2005
19172^419757+72707126360Enzo Doria04/2016
19182^419720-21569126349Enzo Doria07/2013
19192^419637+29126324Henri Lifchitz02/2006
19202^419612+1876741126316Enzo Doria07/2016
19212^419520+2793271126289Enzo Doria03/2016
1922(2^419447-5)/369126264Lelio R Paula05/2014
19232^419328-1859939126231Enzo Doria03/2016
19242^419282-1851507126217Enzo Doria08/2015
19252^419251+1866143126208Enzo Doria03/2016
192611^121185+2126202Robert Price05/2014
1927(23*2^419036-1)/1393126141Lelio R Paula05/2014
19282^418851+23126087Robert Price09/2015
1929(2^418849-9)/2681126083Lelio R Paula05/2014
19302^418829+167126081Lelio R Paula01/2012
1931(31*2^418782-1)/75891126063Lelio R Paula05/2014
1932(19*2^418754-1)/15126058Lelio R Paula05/2014
19332^418319-109501125927Enzo Doria04/2014
19342^418316-112373125926Enzo Doria06/2014
1935(26*10^125886-413)/9125887Robert Price05/2018
19362^417968+1869811125821Enzo Doria06/2016
19372^417902+63125802Lelio R Paula09/2015
1938(10^125792-91)/9125792Serge Batalov12/2014
1939(32*10^125751-77)/9125752Robert Price06/2018
19402^417704+77011125742Enzo Doria05/2016
1941(10^125706+149)/3125706Serge Batalov12/2014
19422^417419-115309125656Enzo Doria07/2015
19432^417300+77281125620Enzo Doria05/2016
19442^417095-1657125559Yves Minet07/2014
19452^416773-25125462Lelio R Paula09/2015
1946(289511#+292834)/(2^3*146417)125444Makoto Morimoto10/2017
1947(11*2^416691+1)/43125436Lelio R Paula05/2014
19482^416641-2*416641+1125422Robert Price05/2018
1949(21*2^416566-1)/17125399Lelio R Paula05/2014
19502^416530+1870429125389Enzo Doria05/2016
19512^416490+1875109125376Enzo Doria09/2016
19522^416416-114929125354Enzo Doria05/2015
1953(172*10^125292-1)/9125294Serge Batalov12/2014
19542^416134+1865899125269Enzo Doria03/2016
1955(9*2^415992+1)/13560845125220Lelio R Paula05/2014
1956(23^91943-1)/22125201Robert Price01/2012
195743125^27010-106125185Enzo Doria08/2012
19582^415765-112603125158Enzo Doria06/2014
19592^415290-113591125015Enzo Doria08/2014
19602^415276-460919125011Enzo Doria06/2015
19612^415259+77243125006Enzo Doria05/2016
19622^415144-3683124971Yves Minet10/2011
19632^414874+79124890Lelio R Paula01/2015
1964(2^414765+7)/1389124854Lelio R Paula05/2014
19652^414618+79459124813Enzo Doria06/2016
19662^414432-1846709124757Enzo Doria07/2015
19672*10^124751-51124752Robert Price04/2018
1968(13*2^414274-1)/153124708Lelio R Paula05/2014
19702^414032-5124637Henri Lifchitz07/2006
19692^414032+1872331124637Enzo Doria05/2016
197114120^30009-30009^14120124533Norbert Schneider02/2015
197264^68909-63^68909124463Robert Price07/2013
19732^413387+76253124442Enzo Doria04/2016
1974287117#+391613124424Nicolas PALAU01/2017
1975(4*10^124420+83)/3124421Robert Price02/2018
1976(27*2^413207-1)/108335124385Lelio R Paula05/2014
19772^412868-120599124286Paul Bourdelais02/2012
197845^75145-2124231Lelio R Paula08/2015
19792^412645-112213124219Enzo Doria06/2014
19802^412248+74611124100Enzo Doria04/2016
1981(22*10^124096-13)/9124097Robert Price06/2018
19822^412192-3329124083Yves Minet12/2014
1983(25*2^412191-1)/23124082Lelio R Paula05/2014
1984F(593689)124074Henri Lifchitz01/2005
1985(11*2^412161+1)/19124073Lelio R Paula05/2014
19862^411884-113279123990Enzo Doria07/2014
1987(2^411832+1)/257123972Lelio R Paula05/2014
1988(26*10^123970-89)/9123971Robert Price06/2018
19892^411790-1853531123962Enzo Doria08/2015
1990(5^177337+1)/6123953Paul Bourdelais11/2008
19912^411711-113257123938Enzo Doria07/2014
1992(23*2^411675-1)/3123928Lelio R Paula05/2014
19932^411325-351103123822Enzo Doria06/2015
19942^411052+1872481123739Enzo Doria05/2016
19952^410997+39123723Lelio R Paula05/2014
19962^410596-39123602Lelio R Paula05/2014
19972^410540-115079123585Enzo Doria06/2015
1998(7*10^123563+107)/3123564Robert Price02/2018
1999(3*2^410392-1)/9229123537Lelio R Paula05/2014
20002^410206-113081123485Enzo Doria07/2014


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: June, 20 2018 08:38 (Time in France)

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