PRP Records

Probable Primes Top 10000

(253466 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 ?
15012^508174-1855151152976Enzo Doria09/2015
1502181^67757-2152974Lelio R Paula12/2017
15032^508160-1864829152972Enzo Doria01/2016
15042^507857-1848199152881Enzo Doria07/2015
15052^507638-115361152815Enzo Doria07/2015
15062^507551-114025152789Enzo Doria11/2014
1507(6^196337+1)/7152780Paul Bourdelais02/2010
1508(22*10^152670-13)/9152671Robert Price06/2018
15092^506451-22339152457Enzo Doria07/2013
15102^505995-113185152320Enzo Doria07/2014
1511(4*10^152253+149)/9152253Robert Price04/2018
1512578^55117-577^55117152230Jean-Louis Charton08/2012
15132^505431-505431152150Henri Lifchitz04/2005
15142^505053+73097152037Enzo Doria04/2016
1515(2^504793-7)/46765151954Lelio R Paula12/2017
1516350377#+797581151937Nicolas PALAU08/2017
15172^504618-343991151906Enzo Doria07/2015
15182^504212-461939151783Enzo Doria07/2015
15192^504054-2231151736Yves Minet10/2011
15202^503361-39883151527Enzo Doria09/2015
15212^503225+382667151486Enzo Doria10/2016
1522(26*10^151391-503)/9151392Robert Price07/2018
15232^502769+1877567151349Enzo Doria08/2016
15242^502576-4019151291Yves Minet10/2011
15255*10^151257+41151258Robert Price03/2019
15262^502290-2792501151205Enzo Doria02/2016
15272^502181+1868417151172Enzo Doria04/2016
15282^501781-1850503151052Enzo Doria08/2015
1529(5*10^151007+37)/3151008Robert Price03/2018
15302^501627-991151005Yves Minet02/2014
15312^501577-115333150990Enzo Doria07/2015
15328*10^150975+3150976Robert Price08/2015
15332^501512-113669150971Enzo Doria09/2014
1534(12^139739+1)/13150803Paul Bourdelais09/2011
1535(31^101111-1)/30150792Alexander Zhirkov11/2010
15362^500899-500899150786Henri Lifchitz04/2005
15372^500832+1876801150766Enzo Doria07/2016
1538(23*10^150763-59)/9150764Robert Price05/2018
15392^500699+1884953150726Enzo Doria02/2017
1540(13*10^150675-37)/3150676Robert Price01/2019
1541(2^500527+lucasV(1,2,500527)+1)/4150674Mike Oakes11/2016
15422^500337-71101150617Enzo Doria04/2016
1543(74*10^150616+133)/9150617Robert Price06/2019
15444*10^150577+91150578Robert Price08/2018
15452^500160+80071150564Enzo Doria06/2016
1546(2^500120+5)/9150551Lelio R Paula12/2017
1547(43*10^150515-421)/9150516Robert Price01/2019
1549(10^150551-1)/9/385207015049/57498437921/7808738631274081150512Maksym Voznyy08/2014
1548(10^150551-1)/1556587827131683185788921941743157225041150512Robert Price07/2016
15502^499861-29503150474Enzo Doria08/2015
15512^499653-113533150411Enzo Doria08/2014
15522^499534-221150375Yves Minet06/2012
15532^499225+49727150282Enzo Doria09/2016
15542^499054-29261150231Enzo Doria07/2015
1555(2^498898-7)/9150183Lelio R Paula10/2015
15563*10^150182+17150183Robert Price07/2018
15572^498623+1866983150101Enzo Doria03/2016
1558numbpart(18140942830)150033Serge Batalov04/2017
155910^150029+4381150030Patrick De Geest05/2016
156010^150029-41150029Serge Batalov12/2014
156110^150000+1158603150001Patrick De Geest09/2018
156210^150000-245703150000Patrick De Geest09/2018
1563(38*10^149999+691)/9150000Robert Price10/2018
15642^498238-53149985Lelio R Paula12/2017
15655*10^149907+23149908Robert Price03/2019
15662^497850+81049149868Enzo Doria07/2016
1567(5*2^497673+1)/2743149812Lelio R Paula10/2015
1568(5*2^497671+1)/373703149810Lelio R Paula10/2015
1569(2*10^149803-143)/3149803Robert Price03/2018
15702^497434-2784191149743Enzo Doria10/2015
1571(23*10^149655+19)/3149656Robert Price07/2019
15722^497068-113579149633Enzo Doria08/2014
15732^497037+73727149624Enzo Doria04/2016
15742^496773+77747149544Enzo Doria05/2016
15752^496477-113485149455Enzo Doria08/2014
15762^496270-49451149393Enzo Doria10/2015
15772^496238-1865081149383Enzo Doria01/2016
15782^495968-1853699149302Enzo Doria09/2015
15792^495935-4117149292Yves Minet02/2018
15802^495712-396765149225Enzo Doria07/2013
1581(21*2^495676-1)/4835149211Lelio R Paula10/2015
15822^495420+1880701149137Enzo Doria10/2016
15832^495337-1847293149112Enzo Doria07/2015
1584(2^495193-7)/5149068Lelio R Paula10/2015
1585413^56963-412^56963149013Jean-Louis Charton08/2012
158647^89113-46^89113149006Robert Price10/2012
15872^494916+87855148985Lelio R Paula01/2016
15886*10^148982+73148983Robert Price04/2019
15892^494586-2791991148886Enzo Doria02/2016
15908*10^148860-3148861Ray Chandler04/2011
15912^494333-286183148810Enzo Doria06/2015
15922^494144-264119148753Enzo Doria05/2014
1593(5*2^493838-1)/3721148658Lelio R Paula10/2015
1594(23*2^493761-1)/555148636Lelio R Paula10/2015
15952^493636+82081148600Enzo Doria09/2016
1596((((((((((((((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
1597177487#+(519643#)/(177487#)148558Makoto Morimoto11/2017
1598(2*10^148460-23)/3148460Robert Price04/2018
1599(8*10^148328+1)/9148328Serge Batalov05/2010
1600(71*10^148306-539)/9148307Robert Price07/2019
16015^211959-12874148153Enzo Doria05/2014
1602(16*10^148071+41)/3148072Robert Price03/2019
1603187^65175-2148068Lelio R Paula11/2017
16042^491851+1871453148062Enzo Doria05/2016
1605(68*10^148060-257)/9148061Robert Price07/2019
16062^491521-1865323147963Enzo Doria02/2016
1607(2^491476+7)/71147948Lelio R Paula10/2015
16082^491391-7807147924Lelio R Paula01/2013
16092^491370-113297147918Enzo Doria07/2014
1610(32760^32760+32759^32759)/95546586737133567708319147900Robert Price07/2016
1611(17*10^147890+79)/3147891Robert Price04/2019
16122^490660-17147704Lelio R Paula12/2017
16132^490550+1179439147671Enzo Doria06/2016
1614(23*10^147649-59)/9147650Robert Price05/2018
16152^490303+2793653147596Enzo Doria03/2016
1616199^64181-2147543Lelio R Paula11/2017
16172^489871-286987147466Enzo Doria07/2015
16182^489864-351899147464Enzo Doria07/2015
1619175^65724-2147422Lelio R Paula11/2017
16202^489712+1874851147419Enzo Doria06/2016
162163^81896-2147359Lelio R Paula10/2017
1622(11*10^147313-107)/3147314Robert Price09/2018
16232^489305-59815147296Enzo Doria10/2015
1624(2^489280-7)/6381147285Lelio R Paula09/2015
16252^489125+80357147242Enzo Doria06/2016
16262^488648-112799147098Enzo Doria07/2014
16272^488627-350317147092Enzo Doria06/2015
1628(2^488441-1)/(61543567*30051203516986199)147012Dario Alpern12/2014
16292^488280-2165146987Yves Minet07/2014
16302^488278+45146987Lelio R Paula12/2017
16312^487927-39146881Lelio R Paula12/2017
1632(7*10^146860-13)/3146861Robert Price07/2018
16332^487726-1863341146821Enzo Doria12/2015
1634(22*10^146661-19)/3146662Robert Price04/2019
16352^487121-39523146639Enzo Doria09/2015
1636(7*2^486967+1)/39146591Lelio R Paula09/2015
16372^486893-79146570Yves Minet09/2017
16382^486840+1879141146554Enzo Doria08/2016
16392^486774-87146534Lelio R Paula12/2017
164096^73877-95^73877146445Robert Price10/2015
1641(52^85259+1)/53146304Paul Bourdelais09/2017
1642179^64935+2146290Lelio R Paula10/2017
1643(19*10^146181-49)/3146182Robert Price05/2019
16442^485531-114621146160Enzo Doria05/2015
1645(2^485461-9)/4249146135Lelio R Paula09/2015
16462^485389+81887146117Enzo Doria08/2016
1647(10^146063+71)/9146063Serge Batalov07/2015
1648(2^485119+7)/2745146032Lelio R Paula09/2015
1649(22*10^146029+257)/9146030Robert Price06/2018
16502^484743+1872923145923Enzo Doria05/2016
16512^484341+1879157145802Enzo Doria08/2016
16522^484271-51145781Lelio R Paula11/2017
165370^78989-69^78989145743Robert Price01/2014
165451^85334+2145714Robert Price07/2015
16552^483886-1857101145665Enzo Doria10/2015
16562^483563-1863457145567Enzo Doria12/2015
16572^483516-1861409145553Enzo Doria11/2015
16582^483384-115019145514Enzo Doria06/2015
1659(19*10^145499-61)/3145500Robert Price05/2019
16602^483302-3221145489Lelio R Paula12/2012
16612^483046+1874029145412Enzo Doria06/2016
16622^482991-2789317145395Enzo Doria12/2015
16632^482978-2789711145391Enzo Doria12/2015
16642^482966-2789711145388Enzo Doria12/2015
16652^482817-1858843145343Enzo Doria10/2015
16662^482751-113635145323Enzo Doria08/2014
16672^482705-459763145309Enzo Doria05/2015
1668(4^241306+11)/3145281Robert Price03/2017
1669(19*2^482534+1)/7145258Lelio R Paula09/2015
167053^84239-52^84239145252Robert Price01/2013
1671(2^482333+5)/9287145193Lelio R Paula09/2015
16722^482087+72623145123Enzo Doria04/2016
16732^482016-286565145102Enzo Doria07/2015
16742^481840+15145049Robert Price09/2015
16752^481801-481801145037Henri Lifchitz03/2005
16762^481775+1869083145029Enzo Doria05/2016
167729^99167+2145022Ray Chandler08/2011
16782^481663+1875653144996Enzo Doria07/2016
16792^481149-459073144841Enzo Doria05/2015
16802^481045-113215144809Enzo Doria07/2014
1681(64*10^144797+287)/9144798Robert Price04/2019
16822^480859-113695144753Enzo Doria09/2014
16832^480766-2787191144725Enzo Doria11/2015
1684(21*27^101106-151)/26144720Curtis Bright05/2015
16852^480678+1874239144699Enzo Doria06/2016
1686(8*10^144683+1)/9144683Serge Batalov05/2010
1687L(692147)144651Henri Lifchitz10/2008
16882^480417+35144620Robert Price11/2015
16892^480296-59879144584Enzo Doria10/2015
16902^479844+3144448Donovan Johnson06/2006
1691(27*2^479642+1)/733144386Lelio R Paula08/2015
1692(21*2^479605-1)/11144376Lelio R Paula09/2015
16932^479348-2792219144299Enzo Doria02/2016
16943^302389-6242144277Enzo Doria05/2014
16952*10^144220-3144221Robert Price07/2015
16962^478904-109109144165Enzo Doria04/2014
16972^478337-115333143994Enzo Doria07/2015
1698(7*2^478330-1)/3143993Lelio R Paula08/2015
169988^74047-87^74047143984Robert Price05/2015
1700(19*10^143963+467)/9143964Robert Price02/2018
1701(71^77761+1)/72143954Paul Bourdelais09/2017
17022^478088+27143919Robert Price11/2015
17032^477475-22071143735Enzo Doria07/2013
17042^477417-22123143717Enzo Doria07/2013
17052^477359-3577143700Yves Minet03/2017
1706(14*10^143662-71)/3143663Robert Price12/2018
17072^476936-396765143573Enzo Doria07/2013
17082^476888-2791229143558Enzo Doria01/2016
17092^476868-1859939143552Enzo Doria11/2015
1710755^49878+49878^755143547Norbert Schneider04/2019
17112^476558-113627143459Enzo Doria08/2014
17122^476478-45143435Lelio R Paula11/2017
1713(2^475854+9)/73143245Lelio R Paula08/2015
17142^475813-113239143234Enzo Doria07/2014
17152^475624-114059143178Enzo Doria11/2014
1716(11*2^475553-7)/15143156Renaud Lifchitz03/2011
17172^475480-2786129143134Enzo Doria10/2015
1718(19*10^143129-43)/3143130Robert Price05/2019
1719(14*10^143097+73)/3143098Robert Price12/2018
17202^475299-111937143080Enzo Doria05/2014
17212^475160-2797859143038Enzo Doria04/2016
1722(2^475069+3)/395143008Lelio R Paula08/2015
17232^475027-461437142998Enzo Doria07/2015
1724(2^474958+78557)/3142977Lelio R Paula07/2015
1725(8*10^142932+43)/3142933Robert Price06/2018
1726(54^82471-1)/53142871Paul Bourdelais09/2017
1727(11*2^474432-1)/95142818Lelio R Paula09/2015
17282^474417-59923142814Enzo Doria10/2015
17294*10^142810-21142811Robert Price09/2018
1730(3*2^474166+1)/7142738Lelio R Paula08/2015
17312^474053+2897142705Lelio R Paula08/2012
1732(10^142699+359)/9142699Serge Batalov12/2014
1733898^48311-897^48311142676Jean-Louis Charton12/2012
17342^473740-1856639142610Enzo Doria09/2015
17352^473617-114223142573Enzo Doria12/2014
17362^473257+1873217142465Enzo Doria06/2016
1737(19*2^473242+1)/11142461Lelio R Paula09/2015
1738(14*10^142440+61)/3142441Robert Price12/2018
1739(10^142425+359)/9142425Serge Batalov12/2014
17402^473101+773027142418Enzo Doria05/2016
1741(13*2^472838-1)/3142340Lelio R Paula09/2015
1742(17*2^472789-1)/187347142320Lelio R Paula09/2015
17432^472634-109511142278Enzo Doria04/2014
1744(48^84589+1)/49142213Robert Price01/2014
17457*10^142189+87142190Robert Price07/2019
17462^472258+7142164Lelio R Paula08/2015
1747(23*10^142105+91)/3142106Robert Price08/2019
1748tau(317^10330)142098Nik Lygeros / Olivier Rozier / LR team10/2013
1749(11*2^471913-1)/21142060Lelio R Paula09/2015
1750(16*10^142058+197)/3142059Robert Price04/2019


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: August, 20 2019 14:10 (Time in France)

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