PRP Records

Probable Primes Top 10000

(252675 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 ?
15012^499225+49727150282Enzo Doria09/2016
15022^499054-29261150231Enzo Doria07/2015
1503(2^498898-7)/9150183Lelio R Paula10/2015
15043*10^150182+17150183Robert Price07/2018
15052^498623+1866983150101Enzo Doria03/2016
1506numbpart(18140942830)150033Serge Batalov04/2017
150710^150029+4381150030Patrick De Geest05/2016
150810^150029-41150029Serge Batalov12/2014
150910^150000+1158603150001Patrick De Geest09/2018
151010^150000-245703150000Patrick De Geest09/2018
1511(38*10^149999+691)/9150000Robert Price10/2018
15122^498238-53149985Lelio R Paula12/2017
15135*10^149907+23149908Robert Price03/2019
15142^497850+81049149868Enzo Doria07/2016
1515(5*2^497673+1)/2743149812Lelio R Paula10/2015
1516(5*2^497671+1)/373703149810Lelio R Paula10/2015
1517(2*10^149803-143)/3149803Robert Price03/2018
15182^497434-2784191149743Enzo Doria10/2015
15192^497068-113579149633Enzo Doria08/2014
15202^497037+73727149624Enzo Doria04/2016
15212^496773+77747149544Enzo Doria05/2016
15222^496477-113485149455Enzo Doria08/2014
15232^496270-49451149393Enzo Doria10/2015
15242^496238-1865081149383Enzo Doria01/2016
15252^495968-1853699149302Enzo Doria09/2015
15262^495935-4117149292Yves Minet02/2018
15272^495712-396765149225Enzo Doria07/2013
1528(21*2^495676-1)/4835149211Lelio R Paula10/2015
15292^495420+1880701149137Enzo Doria10/2016
15302^495337-1847293149112Enzo Doria07/2015
1531(2^495193-7)/5149068Lelio R Paula10/2015
1532413^56963-412^56963149013Jean-Louis Charton08/2012
153347^89113-46^89113149006Robert Price10/2012
15342^494916+87855148985Lelio R Paula01/2016
15356*10^148982+73148983Robert Price04/2019
15362^494586-2791991148886Enzo Doria02/2016
15378*10^148860-3148861Ray Chandler04/2011
15382^494333-286183148810Enzo Doria06/2015
15392^494144-264119148753Enzo Doria05/2014
1540(5*2^493838-1)/3721148658Lelio R Paula10/2015
1541(23*2^493761-1)/555148636Lelio R Paula10/2015
15422^493636+82081148600Enzo Doria09/2016
1543((((((((((((((34251^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-2148593Serge Batalov07/2016
1544177487#+(519643#)/(177487#)148558Makoto Morimoto11/2017
1545(2*10^148460-23)/3148460Robert Price04/2018
1546(8*10^148328+1)/9148328Serge Batalov05/2010
15475^211959-12874148153Enzo Doria05/2014
1548(16*10^148071+41)/3148072Robert Price03/2019
1549187^65175-2148068Lelio R Paula11/2017
15502^491851+1871453148062Enzo Doria05/2016
15512^491521-1865323147963Enzo Doria02/2016
1552(2^491476+7)/71147948Lelio R Paula10/2015
15532^491391-7807147924Lelio R Paula01/2013
15542^491370-113297147918Enzo Doria07/2014
1555(32760^32760+32759^32759)/95546586737133567708319147900Robert Price07/2016
1556(17*10^147890+79)/3147891Robert Price04/2019
15572^490660-17147704Lelio R Paula12/2017
15582^490550+1179439147671Enzo Doria06/2016
1559(23*10^147649-59)/9147650Robert Price05/2018
15602^490303+2793653147596Enzo Doria03/2016
1561199^64181-2147543Lelio R Paula11/2017
15622^489871-286987147466Enzo Doria07/2015
15632^489864-351899147464Enzo Doria07/2015
1564175^65724-2147422Lelio R Paula11/2017
15652^489712+1874851147419Enzo Doria06/2016
156663^81896-2147359Lelio R Paula10/2017
1567(11*10^147313-107)/3147314Robert Price09/2018
15682^489305-59815147296Enzo Doria10/2015
1569(2^489280-7)/6381147285Lelio R Paula09/2015
15702^489125+80357147242Enzo Doria06/2016
15712^488648-112799147098Enzo Doria07/2014
15722^488627-350317147092Enzo Doria06/2015
1573(2^488441-1)/(61543567*30051203516986199)147012Dario Alpern12/2014
15742^488280-2165146987Yves Minet07/2014
15752^488278+45146987Lelio R Paula12/2017
15762^487927-39146881Lelio R Paula12/2017
1577(7*10^146860-13)/3146861Robert Price07/2018
15782^487726-1863341146821Enzo Doria12/2015
15792^487121-39523146639Enzo Doria09/2015
1580(7*2^486967+1)/39146591Lelio R Paula09/2015
15812^486893-79146570Yves Minet09/2017
15822^486840+1879141146554Enzo Doria08/2016
15832^486774-87146534Lelio R Paula12/2017
158496^73877-95^73877146445Robert Price10/2015
1585(52^85259+1)/53146304Paul Bourdelais09/2017
1586179^64935+2146290Lelio R Paula10/2017
15872^485531-114621146160Enzo Doria05/2015
1588(2^485461-9)/4249146135Lelio R Paula09/2015
15892^485389+81887146117Enzo Doria08/2016
1590(10^146063+71)/9146063Serge Batalov07/2015
1591(2^485119+7)/2745146032Lelio R Paula09/2015
1592(22*10^146029+257)/9146030Robert Price06/2018
15932^484743+1872923145923Enzo Doria05/2016
15942^484341+1879157145802Enzo Doria08/2016
15952^484271-51145781Lelio R Paula11/2017
159670^78989-69^78989145743Robert Price01/2014
159751^85334+2145714Robert Price07/2015
15982^483886-1857101145665Enzo Doria10/2015
15992^483563-1863457145567Enzo Doria12/2015
16002^483516-1861409145553Enzo Doria11/2015
16012^483384-115019145514Enzo Doria06/2015
16022^483302-3221145489Lelio R Paula12/2012
16032^483046+1874029145412Enzo Doria06/2016
16042^482991-2789317145395Enzo Doria12/2015
16052^482978-2789711145391Enzo Doria12/2015
16062^482966-2789711145388Enzo Doria12/2015
16072^482817-1858843145343Enzo Doria10/2015
16082^482751-113635145323Enzo Doria08/2014
16092^482705-459763145309Enzo Doria05/2015
1610(4^241306+11)/3145281Robert Price03/2017
1611(19*2^482534+1)/7145258Lelio R Paula09/2015
161253^84239-52^84239145252Robert Price01/2013
1613(2^482333+5)/9287145193Lelio R Paula09/2015
16142^482087+72623145123Enzo Doria04/2016
16152^482016-286565145102Enzo Doria07/2015
16162^481840+15145049Robert Price09/2015
16172^481801-481801145037Henri Lifchitz03/2005
16182^481775+1869083145029Enzo Doria05/2016
161929^99167+2145022Ray Chandler08/2011
16202^481663+1875653144996Enzo Doria07/2016
16212^481149-459073144841Enzo Doria05/2015
16222^481045-113215144809Enzo Doria07/2014
1623(64*10^144797+287)/9144798Robert Price04/2019
16242^480859-113695144753Enzo Doria09/2014
16252^480766-2787191144725Enzo Doria11/2015
1626(21*27^101106-151)/26144720Curtis Bright05/2015
16272^480678+1874239144699Enzo Doria06/2016
1628(8*10^144683+1)/9144683Serge Batalov05/2010
1629L(692147)144651Henri Lifchitz10/2008
16302^480417+35144620Robert Price11/2015
16312^480296-59879144584Enzo Doria10/2015
16322^479844+3144448Donovan Johnson06/2006
1633(27*2^479642+1)/733144386Lelio R Paula08/2015
1634(21*2^479605-1)/11144376Lelio R Paula09/2015
16352^479348-2792219144299Enzo Doria02/2016
16363^302389-6242144277Enzo Doria05/2014
16372*10^144220-3144221Robert Price07/2015
16382^478904-109109144165Enzo Doria04/2014
16392^478337-115333143994Enzo Doria07/2015
1640(7*2^478330-1)/3143993Lelio R Paula08/2015
164188^74047-87^74047143984Robert Price05/2015
1642(19*10^143963+467)/9143964Robert Price02/2018
1643(71^77761+1)/72143954Paul Bourdelais09/2017
16442^478088+27143919Robert Price11/2015
16452^477475-22071143735Enzo Doria07/2013
16462^477417-22123143717Enzo Doria07/2013
16472^477359-3577143700Yves Minet03/2017
1648(14*10^143662-71)/3143663Robert Price12/2018
16492^476936-396765143573Enzo Doria07/2013
16502^476888-2791229143558Enzo Doria01/2016
16512^476868-1859939143552Enzo Doria11/2015
16522^476558-113627143459Enzo Doria08/2014
16532^476478-45143435Lelio R Paula11/2017
1654(2^475854+9)/73143245Lelio R Paula08/2015
16552^475813-113239143234Enzo Doria07/2014
16562^475624-114059143178Enzo Doria11/2014
1657(11*2^475553-7)/15143156Renaud Lifchitz03/2011
16582^475480-2786129143134Enzo Doria10/2015
1659(14*10^143097+73)/3143098Robert Price12/2018
16602^475299-111937143080Enzo Doria05/2014
16612^475160-2797859143038Enzo Doria04/2016
1662(2^475069+3)/395143008Lelio R Paula08/2015
16632^475027-461437142998Enzo Doria07/2015
1664(2^474958+78557)/3142977Lelio R Paula07/2015
1665(8*10^142932+43)/3142933Robert Price06/2018
1666(54^82471-1)/53142871Paul Bourdelais09/2017
1667(11*2^474432-1)/95142818Lelio R Paula09/2015
16682^474417-59923142814Enzo Doria10/2015
16694*10^142810-21142811Robert Price09/2018
1670(3*2^474166+1)/7142738Lelio R Paula08/2015
16712^474053+2897142705Lelio R Paula08/2012
1672(10^142699+359)/9142699Serge Batalov12/2014
1673898^48311-897^48311142676Jean-Louis Charton12/2012
16742^473740-1856639142610Enzo Doria09/2015
16752^473617-114223142573Enzo Doria12/2014
16762^473257+1873217142465Enzo Doria06/2016
1677(19*2^473242+1)/11142461Lelio R Paula09/2015
1678(14*10^142440+61)/3142441Robert Price12/2018
1679(10^142425+359)/9142425Serge Batalov12/2014
16802^473101+773027142418Enzo Doria05/2016
1681(13*2^472838-1)/3142340Lelio R Paula09/2015
1682(17*2^472789-1)/187347142320Lelio R Paula09/2015
16832^472634-109511142278Enzo Doria04/2014
1684(48^84589+1)/49142213Robert Price01/2014
16852^472258+7142164Lelio R Paula08/2015
1686tau(317^10330)142098Nik Lygeros / Olivier Rozier / LR team10/2013
1687(11*2^471913-1)/21142060Lelio R Paula09/2015
1688(16*10^142058+197)/3142059Robert Price04/2019
16892^471792+1880881142024Enzo Doria11/2016
1690(31*2^471580-1)/135141960Lelio R Paula08/2015
1691(4*10^141926-79)/3141927Robert Price02/2018
1692(904*19^110984-1)/3141924Curtis Bright05/2015
1693(14*10^141853+37)/3141854Robert Price12/2018
1694(41*10^141836-59)/9141837Robert Price10/2018
16954*5^202913-9141831Lelio R Paula04/2015
16962*7^167812-3141818Lelio R Paula12/2014
16972^471043+35141799Robert Price11/2015
1698(11*2^470956-1)/7945141770Lelio R Paula08/2015
1699(11*10^141718-131)/3141719Robert Price09/2018
17002^470692+76771141693Enzo Doria05/2016
1701(21*2^470391+1)/533141601Lelio R Paula09/2015
17022^470305-459373141576Enzo Doria05/2015
17032^470183+72623141540Enzo Doria04/2016
17042^470173-16465141537Enzo Doria04/2013
17052^469974-1841141477Enzo Doria05/2014
1706(23*2^469939+1)/25141466Lelio R Paula08/2015
17072*10^141448+63141449Robert Price05/2018
17082^469824+43141432Lelio R Paula09/2017
17092*10^141407-27141408Robert Price05/2018
17102^469630-59711141373Enzo Doria10/2015
1711(25*10^141366-331)/9141367Robert Price08/2018
1712(2^469564-3)/611141351Lelio R Paula08/2015
1713197^61601+2141342Lelio R Paula08/2017
17142^469372-112949141296Enzo Doria07/2014
1716143^(2^16)+106^(2^16)141253Valeryi Kuryshev02/2011
1715143^65536+106^65536141253Serge Batalov03/2018
17172^469198+782569141243Enzo Doria10/2016
17182^469076-2786939141206Enzo Doria11/2015
17192^468804+1874941141125Enzo Doria06/2016
17202^468787+81353141119Enzo Doria08/2016
17212^468595-350407141062Enzo Doria06/2015
17222^468564+87855141052Lelio R Paula01/2016
17232^468551-21987141048Enzo Doria07/2013
17242^468523-7141040Lelio R Paula08/2015
17252^468405+87855141004Lelio R Paula01/2016
17262^467978-113051140876Enzo Doria07/2014
17272^467780-344429140816Enzo Doria07/2015
17282^467605-1855603140764Enzo Doria09/2015
17295*10^140744-7140745Robert Price09/2015
1730(5^201359-1)/4140744Paul Bourdelais12/2008
17312^467401-1850023140702Enzo Doria08/2015
1732(2^467270+78557)/23247140658Lelio R Paula07/2015
1733(29*2^467205+1)/2780517107140635Lelio R Paula08/2015
17342^467166-1854941140631Enzo Doria09/2015
17352^466866-1840571140541Enzo Doria06/2015
17362^466829-459523140530Enzo Doria05/2015
17372^466692-113213140489Enzo Doria07/2014
1738(44*10^140410-503)/9140411Robert Price12/2018
1739153^64265-2140400Lelio R Paula11/2017
1740(112*10^140357-1)/3140359Serge Batalov12/2014
17412^466181-112735140335Enzo Doria07/2014
1742(5*10^140281-119)/3140282Robert Price03/2018
1743(27*2^465872+1)/691140241Lelio R Paula08/2015
17442^465803-114817140221Enzo Doria05/2015
1745floor(Pi*10^140344)%10^140165140165Serge Batalov08/2012
17462^465503-112735140131Enzo Doria07/2014
17476^179964+179964^6-1140040Robert Price04/2014
1748(29*2^465077-1)/9140003Lelio R Paula08/2015
17492^465072-344789140001Enzo Doria07/2015
17505*10^139945+81139946Robert Price03/2019


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: April, 20 2019 09:21 (Time in France)

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