PRP Records

Probable Primes Top 10000

(252932 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 ?
15012^501512-113669150971Enzo Doria09/2014
1502(12^139739+1)/13150803Paul Bourdelais09/2011
1503(31^101111-1)/30150792Alexander Zhirkov11/2010
15042^500899-500899150786Henri Lifchitz04/2005
15052^500832+1876801150766Enzo Doria07/2016
1506(23*10^150763-59)/9150764Robert Price05/2018
15072^500699+1884953150726Enzo Doria02/2017
1508(13*10^150675-37)/3150676Robert Price01/2019
1509(2^500527+lucasV(1,2,500527)+1)/4150674Mike Oakes11/2016
15102^500337-71101150617Enzo Doria04/2016
15114*10^150577+91150578Robert Price08/2018
15122^500160+80071150564Enzo Doria06/2016
1513(2^500120+5)/9150551Lelio R Paula12/2017
1514(43*10^150515-421)/9150516Robert Price01/2019
1515(10^150551-1)/9/385207015049/57498437921/7808738631274081150512Maksym Voznyy08/2014
1516(10^150551-1)/1556587827131683185788921941743157225041150512Robert Price07/2016
15172^499861-29503150474Enzo Doria08/2015
15182^499653-113533150411Enzo Doria08/2014
15192^499534-221150375Yves Minet06/2012
15202^499225+49727150282Enzo Doria09/2016
15212^499054-29261150231Enzo Doria07/2015
1522(2^498898-7)/9150183Lelio R Paula10/2015
15233*10^150182+17150183Robert Price07/2018
15242^498623+1866983150101Enzo Doria03/2016
1525numbpart(18140942830)150033Serge Batalov04/2017
152610^150029+4381150030Patrick De Geest05/2016
152710^150029-41150029Serge Batalov12/2014
152810^150000+1158603150001Patrick De Geest09/2018
152910^150000-245703150000Patrick De Geest09/2018
1530(38*10^149999+691)/9150000Robert Price10/2018
15312^498238-53149985Lelio R Paula12/2017
15325*10^149907+23149908Robert Price03/2019
15332^497850+81049149868Enzo Doria07/2016
1534(5*2^497673+1)/2743149812Lelio R Paula10/2015
1535(5*2^497671+1)/373703149810Lelio R Paula10/2015
1536(2*10^149803-143)/3149803Robert Price03/2018
15372^497434-2784191149743Enzo Doria10/2015
15382^497068-113579149633Enzo Doria08/2014
15392^497037+73727149624Enzo Doria04/2016
15402^496773+77747149544Enzo Doria05/2016
15412^496477-113485149455Enzo Doria08/2014
15422^496270-49451149393Enzo Doria10/2015
15432^496238-1865081149383Enzo Doria01/2016
15442^495968-1853699149302Enzo Doria09/2015
15452^495935-4117149292Yves Minet02/2018
15462^495712-396765149225Enzo Doria07/2013
1547(21*2^495676-1)/4835149211Lelio R Paula10/2015
15482^495420+1880701149137Enzo Doria10/2016
15492^495337-1847293149112Enzo Doria07/2015
1550(2^495193-7)/5149068Lelio R Paula10/2015
1551413^56963-412^56963149013Jean-Louis Charton08/2012
155247^89113-46^89113149006Robert Price10/2012
15532^494916+87855148985Lelio R Paula01/2016
15546*10^148982+73148983Robert Price04/2019
15552^494586-2791991148886Enzo Doria02/2016
15568*10^148860-3148861Ray Chandler04/2011
15572^494333-286183148810Enzo Doria06/2015
15582^494144-264119148753Enzo Doria05/2014
1559(5*2^493838-1)/3721148658Lelio R Paula10/2015
1560(23*2^493761-1)/555148636Lelio R Paula10/2015
15612^493636+82081148600Enzo Doria09/2016
1562((((((((((((((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
1563177487#+(519643#)/(177487#)148558Makoto Morimoto11/2017
1564(2*10^148460-23)/3148460Robert Price04/2018
1565(8*10^148328+1)/9148328Serge Batalov05/2010
15665^211959-12874148153Enzo Doria05/2014
1567(16*10^148071+41)/3148072Robert Price03/2019
1568187^65175-2148068Lelio R Paula11/2017
15692^491851+1871453148062Enzo Doria05/2016
15702^491521-1865323147963Enzo Doria02/2016
1571(2^491476+7)/71147948Lelio R Paula10/2015
15722^491391-7807147924Lelio R Paula01/2013
15732^491370-113297147918Enzo Doria07/2014
1574(32760^32760+32759^32759)/95546586737133567708319147900Robert Price07/2016
1575(17*10^147890+79)/3147891Robert Price04/2019
15762^490660-17147704Lelio R Paula12/2017
15772^490550+1179439147671Enzo Doria06/2016
1578(23*10^147649-59)/9147650Robert Price05/2018
15792^490303+2793653147596Enzo Doria03/2016
1580199^64181-2147543Lelio R Paula11/2017
15812^489871-286987147466Enzo Doria07/2015
15822^489864-351899147464Enzo Doria07/2015
1583175^65724-2147422Lelio R Paula11/2017
15842^489712+1874851147419Enzo Doria06/2016
158563^81896-2147359Lelio R Paula10/2017
1586(11*10^147313-107)/3147314Robert Price09/2018
15872^489305-59815147296Enzo Doria10/2015
1588(2^489280-7)/6381147285Lelio R Paula09/2015
15892^489125+80357147242Enzo Doria06/2016
15902^488648-112799147098Enzo Doria07/2014
15912^488627-350317147092Enzo Doria06/2015
1592(2^488441-1)/(61543567*30051203516986199)147012Dario Alpern12/2014
15932^488280-2165146987Yves Minet07/2014
15942^488278+45146987Lelio R Paula12/2017
15952^487927-39146881Lelio R Paula12/2017
1596(7*10^146860-13)/3146861Robert Price07/2018
15972^487726-1863341146821Enzo Doria12/2015
1598(22*10^146661-19)/3146662Robert Price04/2019
15992^487121-39523146639Enzo Doria09/2015
1600(7*2^486967+1)/39146591Lelio R Paula09/2015
16012^486893-79146570Yves Minet09/2017
16022^486840+1879141146554Enzo Doria08/2016
16032^486774-87146534Lelio R Paula12/2017
160496^73877-95^73877146445Robert Price10/2015
1605(52^85259+1)/53146304Paul Bourdelais09/2017
1606179^64935+2146290Lelio R Paula10/2017
1607(19*10^146181-49)/3146182Robert Price05/2019
16082^485531-114621146160Enzo Doria05/2015
1609(2^485461-9)/4249146135Lelio R Paula09/2015
16102^485389+81887146117Enzo Doria08/2016
1611(10^146063+71)/9146063Serge Batalov07/2015
1612(2^485119+7)/2745146032Lelio R Paula09/2015
1613(22*10^146029+257)/9146030Robert Price06/2018
16142^484743+1872923145923Enzo Doria05/2016
16152^484341+1879157145802Enzo Doria08/2016
16162^484271-51145781Lelio R Paula11/2017
161770^78989-69^78989145743Robert Price01/2014
161851^85334+2145714Robert Price07/2015
16192^483886-1857101145665Enzo Doria10/2015
16202^483563-1863457145567Enzo Doria12/2015
16212^483516-1861409145553Enzo Doria11/2015
16222^483384-115019145514Enzo Doria06/2015
1623(19*10^145499-61)/3145500Robert Price05/2019
16242^483302-3221145489Lelio R Paula12/2012
16252^483046+1874029145412Enzo Doria06/2016
16262^482991-2789317145395Enzo Doria12/2015
16272^482978-2789711145391Enzo Doria12/2015
16282^482966-2789711145388Enzo Doria12/2015
16292^482817-1858843145343Enzo Doria10/2015
16302^482751-113635145323Enzo Doria08/2014
16312^482705-459763145309Enzo Doria05/2015
1632(4^241306+11)/3145281Robert Price03/2017
1633(19*2^482534+1)/7145258Lelio R Paula09/2015
163453^84239-52^84239145252Robert Price01/2013
1635(2^482333+5)/9287145193Lelio R Paula09/2015
16362^482087+72623145123Enzo Doria04/2016
16372^482016-286565145102Enzo Doria07/2015
16382^481840+15145049Robert Price09/2015
16392^481801-481801145037Henri Lifchitz03/2005
16402^481775+1869083145029Enzo Doria05/2016
164129^99167+2145022Ray Chandler08/2011
16422^481663+1875653144996Enzo Doria07/2016
16432^481149-459073144841Enzo Doria05/2015
16442^481045-113215144809Enzo Doria07/2014
1645(64*10^144797+287)/9144798Robert Price04/2019
16462^480859-113695144753Enzo Doria09/2014
16472^480766-2787191144725Enzo Doria11/2015
1648(21*27^101106-151)/26144720Curtis Bright05/2015
16492^480678+1874239144699Enzo Doria06/2016
1650(8*10^144683+1)/9144683Serge Batalov05/2010
1651L(692147)144651Henri Lifchitz10/2008
16522^480417+35144620Robert Price11/2015
16532^480296-59879144584Enzo Doria10/2015
16542^479844+3144448Donovan Johnson06/2006
1655(27*2^479642+1)/733144386Lelio R Paula08/2015
1656(21*2^479605-1)/11144376Lelio R Paula09/2015
16572^479348-2792219144299Enzo Doria02/2016
16583^302389-6242144277Enzo Doria05/2014
16592*10^144220-3144221Robert Price07/2015
16602^478904-109109144165Enzo Doria04/2014
16612^478337-115333143994Enzo Doria07/2015
1662(7*2^478330-1)/3143993Lelio R Paula08/2015
166388^74047-87^74047143984Robert Price05/2015
1664(19*10^143963+467)/9143964Robert Price02/2018
1665(71^77761+1)/72143954Paul Bourdelais09/2017
16662^478088+27143919Robert Price11/2015
16672^477475-22071143735Enzo Doria07/2013
16682^477417-22123143717Enzo Doria07/2013
16692^477359-3577143700Yves Minet03/2017
1670(14*10^143662-71)/3143663Robert Price12/2018
16712^476936-396765143573Enzo Doria07/2013
16722^476888-2791229143558Enzo Doria01/2016
16732^476868-1859939143552Enzo Doria11/2015
1674755^49878+49878^755143547Norbert Schneider04/2019
16752^476558-113627143459Enzo Doria08/2014
16762^476478-45143435Lelio R Paula11/2017
1677(2^475854+9)/73143245Lelio R Paula08/2015
16782^475813-113239143234Enzo Doria07/2014
16792^475624-114059143178Enzo Doria11/2014
1680(11*2^475553-7)/15143156Renaud Lifchitz03/2011
16812^475480-2786129143134Enzo Doria10/2015
1682(19*10^143129-43)/3143130Robert Price05/2019
1683(14*10^143097+73)/3143098Robert Price12/2018
16842^475299-111937143080Enzo Doria05/2014
16852^475160-2797859143038Enzo Doria04/2016
1686(2^475069+3)/395143008Lelio R Paula08/2015
16872^475027-461437142998Enzo Doria07/2015
1688(2^474958+78557)/3142977Lelio R Paula07/2015
1689(8*10^142932+43)/3142933Robert Price06/2018
1690(54^82471-1)/53142871Paul Bourdelais09/2017
1691(11*2^474432-1)/95142818Lelio R Paula09/2015
16922^474417-59923142814Enzo Doria10/2015
16934*10^142810-21142811Robert Price09/2018
1694(3*2^474166+1)/7142738Lelio R Paula08/2015
16952^474053+2897142705Lelio R Paula08/2012
1696(10^142699+359)/9142699Serge Batalov12/2014
1697898^48311-897^48311142676Jean-Louis Charton12/2012
16982^473740-1856639142610Enzo Doria09/2015
16992^473617-114223142573Enzo Doria12/2014
17002^473257+1873217142465Enzo Doria06/2016
1701(19*2^473242+1)/11142461Lelio R Paula09/2015
1702(14*10^142440+61)/3142441Robert Price12/2018
1703(10^142425+359)/9142425Serge Batalov12/2014
17042^473101+773027142418Enzo Doria05/2016
1705(13*2^472838-1)/3142340Lelio R Paula09/2015
1706(17*2^472789-1)/187347142320Lelio R Paula09/2015
17072^472634-109511142278Enzo Doria04/2014
1708(48^84589+1)/49142213Robert Price01/2014
17092^472258+7142164Lelio R Paula08/2015
1710tau(317^10330)142098Nik Lygeros / Olivier Rozier / LR team10/2013
1711(11*2^471913-1)/21142060Lelio R Paula09/2015
1712(16*10^142058+197)/3142059Robert Price04/2019
17132^471792+1880881142024Enzo Doria11/2016
1714(31*2^471580-1)/135141960Lelio R Paula08/2015
1715(4*10^141926-79)/3141927Robert Price02/2018
1716(904*19^110984-1)/3141924Curtis Bright05/2015
1717(14*10^141853+37)/3141854Robert Price12/2018
1718(41*10^141836-59)/9141837Robert Price10/2018
17194*5^202913-9141831Lelio R Paula04/2015
17202*7^167812-3141818Lelio R Paula12/2014
17212^471043+35141799Robert Price11/2015
1722(11*2^470956-1)/7945141770Lelio R Paula08/2015
1723(11*10^141718-131)/3141719Robert Price09/2018
17242^470692+76771141693Enzo Doria05/2016
1725(21*2^470391+1)/533141601Lelio R Paula09/2015
17262^470305-459373141576Enzo Doria05/2015
17272^470183+72623141540Enzo Doria04/2016
17282^470173-16465141537Enzo Doria04/2013
17292^469974-1841141477Enzo Doria05/2014
1730(23*2^469939+1)/25141466Lelio R Paula08/2015
17312*10^141448+63141449Robert Price05/2018
17322^469824+43141432Lelio R Paula09/2017
17332*10^141407-27141408Robert Price05/2018
17342^469630-59711141373Enzo Doria10/2015
1735(25*10^141366-331)/9141367Robert Price08/2018
1736(2^469564-3)/611141351Lelio R Paula08/2015
1737197^61601+2141342Lelio R Paula08/2017
17382^469372-112949141296Enzo Doria07/2014
1740143^(2^16)+106^(2^16)141253Valeryi Kuryshev02/2011
1739143^65536+106^65536141253Serge Batalov03/2018
17412^469198+782569141243Enzo Doria10/2016
17422^469076-2786939141206Enzo Doria11/2015
17432^468804+1874941141125Enzo Doria06/2016
17442^468787+81353141119Enzo Doria08/2016
17452^468595-350407141062Enzo Doria06/2015
17462^468564+87855141052Lelio R Paula01/2016
17472^468551-21987141048Enzo Doria07/2013
17482^468523-7141040Lelio R Paula08/2015
17492^468405+87855141004Lelio R Paula01/2016
17502^467978-113051140876Enzo Doria07/2014


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: June, 18 2019 07:14 (Time in France)

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