PRP Records

Probable Primes Top 10000

(172142 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 ?
1501(2^438067+5)/329131869Lelio R Paula06/2015
15022^437908-113855131824Enzo Doria09/2014
15032^437884-286349131817Enzo Doria07/2015
15043^276062-112292131716Enzo Doria07/2014
15052^437343+75953131654Enzo Doria04/2016
150635^85243-34^85243131621Robert Price05/2012
15072^436451+1884713131385Enzo Doria03/2017
15082^436365+35131359Robert Price11/2015
15092^436300+1866871131340Enzo Doria03/2016
1510(23*2^435891-1)/699131215Lelio R Paula07/2015
1511(11*2^435879+1)/3337131211Lelio R Paula06/2015
1513(2^435808+1)/641/6700417131182Lelio R Paula02/2012
1512(2^435808+1)/4294967297131182Serge Batalov12/2016
15142^435773+1875557131181Enzo Doria06/2016
15152^435612-2789939131133Enzo Doria12/2015
151666^72047-65^72047131093Robert Price09/2013
15172^435468+75631131089Enzo Doria04/2016
151837^83588-2131083Lelio R Paula08/2015
1519(4^217720+11)/3131081Robert Price02/2017
15202^435202-113193131009Enzo Doria07/2014
15212^434835-111937130899Enzo Doria05/2014
15222^434685+72257130854Enzo Doria04/2016
15232^434539-29317130810Enzo Doria07/2015
15242^434469-114259130789Enzo Doria01/2015
15252^434246+33130722Robert Price11/2015
15262^433744-114419130570Enzo Doria02/2015
15272^433708+1869451130560Enzo Doria05/2016
1528(29*2^433547-1)/27130511Lelio R Paula06/2015
15294*10^130480+9130481Robert Price05/2015
1530(23*2^433449-1)/75130481Lelio R Paula06/2015
1531(23*2^433334-1)/3731130445Lelio R Paula06/2015
15322^433023-113497130353Enzo Doria08/2014
15332^433002+1179379130347Enzo Doria06/2016
15342^432974+19130339Robert Price08/2015
1535(2^432457-1)/1672739247834685086279697130159Tony Prest / Never Odd Or Even09/2013
1536((2^216091+1066)^2+(2^216091+1066)+41)/47/2069130095Makoto Morimoto05/2016
15372^432117-113215130081Enzo Doria07/2014
15382^431804+72511129986Enzo Doria04/2016
1539(3^272141-3^136071+1)/7129844Serge Batalov03/2014
1540(9*2^431141+1)/17129787Lelio R Paula06/2015
1541(29*2^430881-1)/21129709Lelio R Paula06/2015
15422^430807+1869563129686Enzo Doria05/2016
15432^430721-21429129660Enzo Doria07/2013
15442^430415-276271129568Enzo Doria07/2015
15452^430142-2791721129486Enzo Doria03/2016
15462^429568-21017129313Enzo Doria07/2013
15472^429194-112685129201Enzo Doria06/2014
15482^429145-2780449129186Enzo Doria04/2016
15492^428892-113453129110Enzo Doria07/2014
1550(11*2^428881-7)/15129106Renaud Lifchitz03/2011
15512^428727-113959129060Enzo Doria10/2014
1552(7*2^428725-1)/13129059Lelio R Paula05/2014
1553(10^129051-31)/3129051Serge Batalov12/2014
15542^428564+71161129011Enzo Doria04/2016
15552^428502-113285128992Enzo Doria07/2014
15562^428421-21373128968Enzo Doria06/2013
1557L(616787)128901Henri Lifchitz09/2008
15582^427999-459397128841Enzo Doria05/2015
15592^427993+76847128839Enzo Doria05/2016
15602^427824-1851507128788Enzo Doria08/2015
15612^427807-21469128783Enzo Doria07/2013
156211^123594-240128710Enzo Doria09/2012
15632^427504-21503128692Enzo Doria07/2013
15642^427269-113635128621Enzo Doria08/2014
15652^427130+1877569128579Enzo Doria08/2016
15662^427016-115349128545Enzo Doria07/2015
15672^426889-112879128507Enzo Doria06/2014
15682^426804+1869931128481Enzo Doria05/2016
15692^426750+77635128465Enzo Doria05/2016
1570(15*2^426398-1)/11128359Lelio R Paula05/2014
15712^426352+74971128345Enzo Doria04/2016
15722^426300-1863689128330Enzo Doria03/2016
15732^426293+1881017128327Enzo Doria11/2016
15742^426043+35128252Robert Price11/2015
15752^425808-459959128181Enzo Doria06/2015
15762^425627-113605128127Enzo Doria08/2014
157718565^30002-30002^18565128070Norbert Schneider01/2015
1578(2^425287-9)/2737128021Lelio R Paula05/2015
1579(3*2^425233-1)/25128007Lelio R Paula05/2014
15802^425205+4911128000Marek Hubal02/2017
15812^425118-113663127974Enzo Doria08/2014
15822^425061+1869761127957Enzo Doria05/2016
15832^424918-21141127914Enzo Doria07/2013
15842^424864-29489127897Enzo Doria08/2015
1585(97*10^127858-1)/3127860Serge Batalov12/2014
15862^424632-2786639127827Enzo Doria03/2016
15872^424577-113755127811Enzo Doria09/2014
1588(7*2^424512-1)/3127792Lelio R Paula05/2014
158911^122629-720127705Enzo Doria11/2012
15902^423696-21429127546Enzo Doria07/2013
15912^423664-1864559127536Enzo Doria03/2016
15923^267267-4127519Henri Lifchitz10/2014
1593(19^99689+5^99689)/24127477Robert Price09/2013
1594(21*2^423372+1)/101127447Lelio R Paula05/2014
15952^423328-21537127435Enzo Doria07/2013
1596(2^423165-7)/25127384Lelio R Paula05/2015
1597(F(5)^182099-F(4)^182099)/F(3)127282Wayne Halsdorf08/2013
1598(234483*27^88884-145)/26127230Curtis Bright05/2015
15992^422515-114997127190Enzo Doria06/2015
16005*10^127179-3127180Robert Price07/2015
16012^421860-113285126993Enzo Doria07/2014
1602(2^421827-7)/11126982Lelio R Paula05/2015
160311^121910-840126957Enzo Doria12/2012
1604331^50339-10004126846Enzo Doria07/2012
16052^421363-2790757126843Enzo Doria03/2016
1606(106*10^126839-1)/3126841Serge Batalov12/2014
1607(7*2^421243+1)/39126807Lelio R Paula05/2014
16082^421161-286183126783Enzo Doria06/2015
16092^420939-113935126716Enzo Doria10/2014
16102^420741-113659126656Enzo Doria08/2014
1611(31*2^420556+1)/7126601Lelio R Paula05/2014
16122^420424-59189126561Enzo Doria10/2015
16132^420126+71893126471Enzo Doria04/2016
16142^419866+1877059126393Enzo Doria07/2016
1615F(604711)126377Henri Lifchitz02/2005
16162^419757+72707126360Enzo Doria04/2016
16172^419720-21569126349Enzo Doria07/2013
16182^419637+29126324Henri Lifchitz02/2006
16192^419612+1876741126316Enzo Doria07/2016
16202^419520+2793271126289Enzo Doria03/2016
1621(2^419447-5)/369126264Lelio R Paula05/2014
16222^419328-1859939126231Enzo Doria03/2016
16232^419282-1851507126217Enzo Doria08/2015
16242^419251+1866143126208Enzo Doria03/2016
162511^121185+2126202Robert Price05/2014
1626(23*2^419036-1)/1393126141Lelio R Paula05/2014
16272^418851+23126087Robert Price09/2015
1628(2^418849-9)/2681126083Lelio R Paula05/2014
16292^418829+167126081Lelio R Paula01/2012
1630(31*2^418782-1)/75891126063Lelio R Paula05/2014
1631(19*2^418754-1)/15126058Lelio R Paula05/2014
16322^418319-109501125927Enzo Doria04/2014
16332^418316-112373125926Enzo Doria06/2014
16342^417968+1869811125821Enzo Doria06/2016
16352^417902+63125802Lelio R Paula09/2015
1636(10^125792-91)/9125792Serge Batalov12/2014
16372^417704+77011125742Enzo Doria05/2016
1638(10^125706+149)/3125706Serge Batalov12/2014
16392^417419-115309125656Enzo Doria07/2015
16402^417300+77281125620Enzo Doria05/2016
16412^417095-1657125559Yves Minet07/2014
16422^416773-25125462Lelio R Paula09/2015
1643(11*2^416691+1)/43125436Lelio R Paula05/2014
1644(21*2^416566-1)/17125399Lelio R Paula05/2014
16452^416530+1870429125389Enzo Doria05/2016
16462^416490+1875109125376Enzo Doria09/2016
16472^416416-114929125354Enzo Doria05/2015
1648(172*10^125292-1)/9125294Serge Batalov12/2014
16492^416134+1865899125269Enzo Doria03/2016
1650(9*2^415992+1)/13560845125220Lelio R Paula05/2014
1651(23^91943-1)/22125201Robert Price01/2012
165243125^27010-106125185Enzo Doria08/2012
16532^415765-112603125158Enzo Doria06/2014
16542^415290-113591125015Enzo Doria08/2014
16552^415276-460919125011Enzo Doria06/2015
16562^415259+77243125006Enzo Doria05/2016
16572^415144-3683124971Yves Minet10/2011
16582^414874+79124890Lelio R Paula01/2015
1659(2^414765+7)/1389124854Lelio R Paula05/2014
16602^414618+79459124813Enzo Doria06/2016
16612^414432-1846709124757Enzo Doria07/2015
1662(13*2^414274-1)/153124708Lelio R Paula05/2014
16642^414032-5124637Henri Lifchitz07/2006
16632^414032+1872331124637Enzo Doria05/2016
166514120^30009-30009^14120124533Norbert Schneider02/2015
166664^68909-63^68909124463Robert Price07/2013
16672^413387+76253124442Enzo Doria04/2016
1668287117#+391613124424Nicolas PALAU01/2017
1669(27*2^413207-1)/108335124385Lelio R Paula05/2014
16702^412868-120599124286Paul Bourdelais02/2012
167145^75145-2124231Lelio R Paula08/2015
16722^412645-112213124219Enzo Doria06/2014
16732^412248+74611124100Enzo Doria04/2016
16742^412192-3329124083Yves Minet12/2014
1675(25*2^412191-1)/23124082Lelio R Paula05/2014
1676F(593689)124074Henri Lifchitz01/2005
1677(11*2^412161+1)/19124073Lelio R Paula05/2014
16782^411884-113279123990Enzo Doria07/2014
1679(2^411832+1)/257123972Lelio R Paula05/2014
16802^411790-1853531123962Enzo Doria08/2015
1681(5^177337+1)/6123953Paul Bourdelais11/2008
16822^411711-113257123938Enzo Doria07/2014
1683(23*2^411675-1)/3123928Lelio R Paula05/2014
16842^411325-351103123822Enzo Doria06/2015
16852^411052+1872481123739Enzo Doria05/2016
16862^410997+39123723Lelio R Paula05/2014
16872^410596-39123602Lelio R Paula05/2014
16882^410540-115079123585Enzo Doria06/2015
1689(3*2^410392-1)/9229123537Lelio R Paula05/2014
16902^410206-113081123485Enzo Doria07/2014
1691(25*2^410192+1)/10397123478Lelio R Paula04/2014
16922^409909-189123395Enzo Doria05/2014
16932^409896-109043123391Enzo Doria04/2014
16942^409890+75409123390Enzo Doria04/2016
1695F(590041)123311Henri Lifchitz01/2005
16962^409566-113501123292Enzo Doria08/2014
16972^409533+77747123282Enzo Doria05/2016
16982^409436-112799123253Enzo Doria06/2014
16992^409225+1873787123189Enzo Doria06/2016
17002^409174+73009123174Enzo Doria04/2016
17012^409058-112685123139Enzo Doria06/2014
17022^408778+77689123055Enzo Doria05/2016
17032^408690-75123028Lelio R Paula11/2013
17042^408574-2787341122994Enzo Doria03/2016
1705Phi(157825,10)122961Maksym Voznyy06/2015
1706(13*2^408283+1)/1665122904Lelio R Paula05/2014
1707(11*2^408100-1)/35122850Lelio R Paula04/2014
1708(2^407821-lucasV(1,2,407821)+1)/2122767Mike Oakes11/2016
1709(21*2^407604-1)/215122701Lelio R Paula04/2014
1710(21*2^407433-1)/13122650Lelio R Paula04/2014
1711(73*10^122592-1)/9122593Robert Price01/2015
17122^407179-112075122574Enzo Doria06/2014
1713(21*2^407131+1)/207517523122552Lelio R Paula04/2014
17142^407008-1867919122522Enzo Doria04/2016
171511^117642-300122512Enzo Doria10/2012
17162^406949+72197122504Enzo Doria04/2016
17172^406826-65122467Lelio R Paula11/2013
17182^406821-2797363122466Enzo Doria04/2016
17192^406758-17122447Lelio R Paula11/2013
1720(30^82883-1)/29122427Robert Price12/2011
1721(2^406583-1)/813167122388Jens K. Andersen02/2009
172297^61575-2122336Lelio R Paula12/2014
17232^406298+2799109122308Enzo Doria04/2016
1724(27*2^406241-1)/10277122289Lelio R Paula04/2014
17252^406229-1849993122288Enzo Doria08/2015
17263*10^122274+7122275Robert Price07/2015
17272^406117+1876577122254Enzo Doria07/2016
17283^256199-2^256199122238Mike Oakes06/2005
17292^405774+179149122151Enzo Doria06/2016
17302^405514-3311122072Yves Minet12/2014
17312^405514-115511122072Enzo Doria07/2015
17322^405422-113261122045Enzo Doria07/2014
17332^405173+71237121970Enzo Doria04/2016
1734(2^405016+1)/257121920Lelio R Paula04/2014
17352^404858+71329121875Enzo Doria04/2016
17362^404813-114703121861Enzo Doria04/2015
17372^404764+77791121847Enzo Doria05/2016
1738317^48694+48694^317121787Norbert Schneider08/2015
17392^404536-115259121778Enzo Doria06/2015
17402^404501-631121767Yves Minet07/2012
174163^67620+2121672Lelio R Paula08/2015
1742(17*10^121621+1)/9121622Serge Batalov05/2010
1743(15*2^403912+1)/271121589Lelio R Paula05/2014
17442^403676+76831121519Enzo Doria05/2016
17452^403363-113635121425Enzo Doria08/2014
17462^403336-1861469121417Enzo Doria03/2016
174711^116555-720121380Enzo Doria11/2012
17482^403100-461267121346Enzo Doria07/2015
17492^403093-112213121344Enzo Doria06/2014
17502^403004+1866361121317Enzo Doria03/2016


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: March, 18 2017 12:02 (Time in France)

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