PRP Records

Probable Primes Top 10000

(255312 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 ?
15012^518931-2782297156214Enzo Doria09/2015
15022^518608-2939156117Yves Minet09/2014
150310*27^109005+697156027Curtis Bright05/2015
15042^517967-113485155924Enzo Doria08/2014
15052^517698+4429155843Lelio R Paula01/2013
15062^517543-113257155796Enzo Doria07/2014
1507(14*10^155740-143)/3155741Robert Price11/2018
150831^104309-30^104309155563Henri Lifchitz08/2013
15092^516742-39851155555Enzo Doria09/2015
15107*10^155496+61155497Robert Price08/2019
15112^516440+1878421155464Enzo Doria08/2016
15122^515863-1867237155291Enzo Doria03/2016
15132^515786-461861155268Enzo Doria07/2015
15142^515644-113247155225Enzo Doria07/2014
1515(7*10^155203+107)/3155204Robert Price02/2018
1516(17*10^155133-89)/9155134Robert Price07/2018
15172^515227-114997155099Enzo Doria06/2015
1519EPrime(155025)155025Eric W. Weisstein10/2010
1518(14*10^155024-221)/9155025Robert Price04/2018
1520(4*10^155022+173)/3155023Robert Price02/2018
1521(115*10^154869-1)/3154871Serge Batalov12/2014
1522(86*10^154853-221)/9154854Robert Price09/2019
15232^514361+78167154839Enzo Doria05/2016
15242^514281-115033154815Enzo Doria06/2015
15252^514194-3311154788Yves Minet12/2014
1526(14*10^154773+37)/3154774Robert Price12/2018
15272^513437+1879337154560Enzo Doria09/2016
15282^513306-113201154521Enzo Doria07/2014
1529(10^154494-13)/3154494Robert Price12/2017
15302^513042-113787154442Enzo Doria09/2014
15312^512628-114053154317Enzo Doria11/2014
15322^512529-49783154287Enzo Doria10/2015
1533(355573#+6991)/(6991*2031599)154285Makoto Morimoto06/2019
15342^512315-115297154223Enzo Doria06/2015
15352^512168+79561154178Enzo Doria06/2016
15364*10^154078-57154079Robert Price10/2018
1537(355049#+1859)/(11*13*10148891*62587751)154051Makoto Morimoto06/2019
15382^511658-114371154025Enzo Doria02/2015
1539(57^87719+1)/58154022Paul Bourdelais11/2017
15402^511580-1846679154001Enzo Doria07/2015
15412^511541-113713153990Enzo Doria09/2014
15422^511077-112723153850Enzo Doria06/2014
154369^83653-68^83653153826Robert Price12/2013
15442^510963-113707153816Enzo Doria09/2014
1545(154*10^153810-1)/9153812Serge Batalov12/2014
1546(181*25^109991-75077)/8153763Curtis Bright05/2015
15472*10^153746-3153747Robert Price07/2015
15482^510626+1179379153714Enzo Doria05/2016
1549(7*10^153664+113)/3153665Robert Price02/2018
15502^510420+81121153652Enzo Doria07/2016
1551(197*7^181761-1)/2153608Karsten Bonath05/2017
15522^509894-459161153494Enzo Doria05/2015
15532^509841+71657153478Enzo Doria04/2016
15542^509533-1846723153385Enzo Doria07/2015
15552^509468-39989153366Enzo Doria09/2015
155670^83117-69^83117153360Robert Price01/2014
1557(112*10^153025-1)/3153027Serge Batalov12/2014
15582^508174-1855151152976Enzo Doria09/2015
1559181^67757-2152974Lelio R Paula12/2017
15602^508160-1864829152972Enzo Doria01/2016
15612^507857-1848199152881Enzo Doria07/2015
15622^507638-115361152815Enzo Doria07/2015
15632^507551-114025152789Enzo Doria11/2014
1564(6^196337+1)/7152780Paul Bourdelais02/2010
1565(22*10^152670-13)/9152671Robert Price06/2018
15662^506451-22339152457Enzo Doria07/2013
15672^505995-113185152320Enzo Doria07/2014
1568(4*10^152253+149)/9152253Robert Price04/2018
1569578^55117-577^55117152230Jean-Louis Charton08/2012
15702^505431-505431152150Henri Lifchitz04/2005
15712^505053+73097152037Enzo Doria04/2016
1572(2^504793-7)/46765151954Lelio R Paula12/2017
1573350377#+797581151937Nicolas PALAU08/2017
15742^504618-343991151906Enzo Doria07/2015
15752^504212-461939151783Enzo Doria07/2015
15762^504054-2231151736Yves Minet10/2011
15772^503361-39883151527Enzo Doria09/2015
15782^503225+382667151486Enzo Doria10/2016
1579(26*10^151391-503)/9151392Robert Price07/2018
15802^502769+1877567151349Enzo Doria08/2016
15812^502576-4019151291Yves Minet10/2011
15825*10^151257+41151258Robert Price03/2019
15832^502290-2792501151205Enzo Doria02/2016
15842^502181+1868417151172Enzo Doria04/2016
15852^501781-1850503151052Enzo Doria08/2015
1586(5*10^151007+37)/3151008Robert Price03/2018
15872^501627-991151005Yves Minet02/2014
15882^501577-115333150990Enzo Doria07/2015
15898*10^150975+3150976Robert Price08/2015
15902^501512-113669150971Enzo Doria09/2014
1591(12^139739+1)/13150803Paul Bourdelais09/2011
1592(31^101111-1)/30150792Alexander Zhirkov11/2010
15932^500899-500899150786Henri Lifchitz04/2005
15942^500832+1876801150766Enzo Doria07/2016
1595(23*10^150763-59)/9150764Robert Price05/2018
15962^500699+1884953150726Enzo Doria02/2017
1597(13*10^150675-37)/3150676Robert Price01/2019
1598(2^500527+lucasV(1,2,500527)+1)/4150674Mike Oakes11/2016
16002^500337-71101150617Enzo Doria04/2016
1599(74*10^150616+133)/9150617Robert Price06/2019
16014*10^150577+91150578Robert Price08/2018
16022^500160+80071150564Enzo Doria06/2016
1603(2^500120+5)/9150551Lelio R Paula12/2017
1604(43*10^150515-421)/9150516Robert Price01/2019
1605(10^150551-1)/9/385207015049/57498437921/7808738631274081150512Maksym Voznyy08/2014
1606(10^150551-1)/1556587827131683185788921941743157225041150512Robert Price07/2016
16072^499861-29503150474Enzo Doria08/2015
16082^499653-113533150411Enzo Doria08/2014
16092^499534-221150375Yves Minet06/2012
16102^499225+49727150282Enzo Doria09/2016
16112^499054-29261150231Enzo Doria07/2015
1612(2^498898-7)/9150183Lelio R Paula10/2015
16133*10^150182+17150183Robert Price07/2018
16142^498623+1866983150101Enzo Doria03/2016
1615numbpart(18140942830)150033Serge Batalov04/2017
161610^150029+4381150030Patrick De Geest05/2016
161710^150029-41150029Serge Batalov12/2014
161810^150000+1158603150001Patrick De Geest09/2018
161910^150000-245703150000Patrick De Geest09/2018
1620(38*10^149999+691)/9150000Robert Price10/2018
16212^498238-53149985Lelio R Paula12/2017
16225*10^149907+23149908Robert Price03/2019
16232^497850+81049149868Enzo Doria07/2016
1624(5*2^497673+1)/2743149812Lelio R Paula10/2015
1625(5*2^497671+1)/373703149810Lelio R Paula10/2015
1626(2*10^149803-143)/3149803Robert Price03/2018
16272^497434-2784191149743Enzo Doria10/2015
1628(23*10^149655+19)/3149656Robert Price07/2019
16292^497068-113579149633Enzo Doria08/2014
16302^497037+73727149624Enzo Doria04/2016
16312^496773+77747149544Enzo Doria05/2016
16322^496477-113485149455Enzo Doria08/2014
1633((10^74703-1)*10000/9+7481)*10^74703+(10^74703-1)/9149410Hans Havermann09/2019
16342^496270-49451149393Enzo Doria10/2015
16352^496238-1865081149383Enzo Doria01/2016
16362^495968-1853699149302Enzo Doria09/2015
16372^495935-4117149292Yves Minet02/2018
16382^495712-396765149225Enzo Doria07/2013
1639(21*2^495676-1)/4835149211Lelio R Paula10/2015
16402^495420+1880701149137Enzo Doria10/2016
16412^495337-1847293149112Enzo Doria07/2015
1642(2^495193-7)/5149068Lelio R Paula10/2015
1643413^56963-412^56963149013Jean-Louis Charton08/2012
164447^89113-46^89113149006Robert Price10/2012
16452^494916+87855148985Lelio R Paula01/2016
16466*10^148982+73148983Robert Price04/2019
16472^494586-2791991148886Enzo Doria02/2016
16488*10^148860-3148861Ray Chandler04/2011
16492^494333-286183148810Enzo Doria06/2015
16502^494144-264119148753Enzo Doria05/2014
1651(5*2^493838-1)/3721148658Lelio R Paula10/2015
1652(23*2^493761-1)/555148636Lelio R Paula10/2015
16532^493636+82081148600Enzo Doria09/2016
1654((((((((((((((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
1655177487#+(519643#)/(177487#)148558Makoto Morimoto11/2017
1656(2*10^148460-23)/3148460Robert Price04/2018
1657(8*10^148328+1)/9148328Serge Batalov05/2010
1658(71*10^148306-539)/9148307Robert Price07/2019
16595^211959-12874148153Enzo Doria05/2014
1660(16*10^148071+41)/3148072Robert Price03/2019
1661187^65175-2148068Lelio R Paula11/2017
16622^491851+1871453148062Enzo Doria05/2016
1663(68*10^148060-257)/9148061Robert Price07/2019
16642^491521-1865323147963Enzo Doria02/2016
1665(2^491476+7)/71147948Lelio R Paula10/2015
16662^491391-7807147924Lelio R Paula01/2013
16672^491370-113297147918Enzo Doria07/2014
1668(32760^32760+32759^32759)/95546586737133567708319147900Robert Price07/2016
1669(17*10^147890+79)/3147891Robert Price04/2019
16702^490660-17147704Lelio R Paula12/2017
16712^490550+1179439147671Enzo Doria06/2016
1672(23*10^147649-59)/9147650Robert Price05/2018
16732^490303+2793653147596Enzo Doria03/2016
1674199^64181-2147543Lelio R Paula11/2017
16752^489871-286987147466Enzo Doria07/2015
16762^489864-351899147464Enzo Doria07/2015
1677175^65724-2147422Lelio R Paula11/2017
16782^489712+1874851147419Enzo Doria06/2016
167963^81896-2147359Lelio R Paula10/2017
1680(11*10^147313-107)/3147314Robert Price09/2018
16812^489305-59815147296Enzo Doria10/2015
1682(2^489280-7)/6381147285Lelio R Paula09/2015
16832^489125+80357147242Enzo Doria06/2016
16842^488648-112799147098Enzo Doria07/2014
16852^488627-350317147092Enzo Doria06/2015
1686(2^488441-1)/(61543567*30051203516986199)147012Dario Alpern12/2014
16872^488280-2165146987Yves Minet07/2014
16882^488278+45146987Lelio R Paula12/2017
16892^487927-39146881Lelio R Paula12/2017
1690(7*10^146860-13)/3146861Robert Price07/2018
1691(26*10^146856-77)/3146857Robert Price11/2019
16922^487726-1863341146821Enzo Doria12/2015
1693((10^73362-1)*10000/9+6701)*10^73362+(10^73362-1)/9146728Hans Havermann09/2019
1694(22*10^146661-19)/3146662Robert Price04/2019
16952^487121-39523146639Enzo Doria09/2015
1696(7*2^486967+1)/39146591Lelio R Paula09/2015
16972^486893-79146570Yves Minet09/2017
16982^486840+1879141146554Enzo Doria08/2016
16992^486774-87146534Lelio R Paula12/2017
170096^73877-95^73877146445Robert Price10/2015
17018*10^146421+81146422Robert Price08/2019
1702(52^85259+1)/53146304Paul Bourdelais09/2017
1703179^64935+2146290Lelio R Paula10/2017
1704(19*10^146181-49)/3146182Robert Price05/2019
17052^485531-114621146160Enzo Doria05/2015
1706(2^485461-9)/4249146135Lelio R Paula09/2015
17072^485389+81887146117Enzo Doria08/2016
1708(10^146063+71)/9146063Serge Batalov07/2015
1709(2^485119+7)/2745146032Lelio R Paula09/2015
1710(22*10^146029+257)/9146030Robert Price06/2018
17112^484743+1872923145923Enzo Doria05/2016
17122^484341+1879157145802Enzo Doria08/2016
17132^484271-51145781Lelio R Paula11/2017
171470^78989-69^78989145743Robert Price01/2014
171551^85334+2145714Robert Price07/2015
17162^483886-1857101145665Enzo Doria10/2015
17172^483563-1863457145567Enzo Doria12/2015
17182^483516-1861409145553Enzo Doria11/2015
17192^483384-115019145514Enzo Doria06/2015
1720(19*10^145499-61)/3145500Robert Price05/2019
17212^483302-3221145489Lelio R Paula12/2012
17222^483046+1874029145412Enzo Doria06/2016
17232^482991-2789317145395Enzo Doria12/2015
17242^482978-2789711145391Enzo Doria12/2015
17252^482966-2789711145388Enzo Doria12/2015
17262^482817-1858843145343Enzo Doria10/2015
17272^482751-113635145323Enzo Doria08/2014
17282^482705-459763145309Enzo Doria05/2015
1729(4^241306+11)/3145281Robert Price03/2017
1730(19*2^482534+1)/7145258Lelio R Paula09/2015
173153^84239-52^84239145252Robert Price01/2013
1732(2^482333+5)/9287145193Lelio R Paula09/2015
17332^482087+72623145123Enzo Doria04/2016
17342^482016-286565145102Enzo Doria07/2015
1735(19*10^145093+101)/3145094Robert Price09/2019
17362^481840+15145049Robert Price09/2015
17372^481801-481801145037Henri Lifchitz03/2005
17382^481775+1869083145029Enzo Doria05/2016
173929^99167+2145022Ray Chandler08/2011
17402^481663+1875653144996Enzo Doria07/2016
17412^481149-459073144841Enzo Doria05/2015
17422^481045-113215144809Enzo Doria07/2014
1743(64*10^144797+287)/9144798Robert Price04/2019
17442^480859-113695144753Enzo Doria09/2014
17452^480766-2787191144725Enzo Doria11/2015
1746(21*27^101106-151)/26144720Curtis Bright05/2015
17472^480678+1874239144699Enzo Doria06/2016
1748(8*10^144683+1)/9144683Serge Batalov05/2010
1749L(692147)144651Henri Lifchitz10/2008
1750(76*10^144648+77)/9144649Robert Price10/2019


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: December, 14 2019 11:13 (Time in France)

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