PRP Records

Probable Primes Top 10000

(218736 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 ?
1251(13*10^158694+401)/9158695Robert Price01/2018
12522^527052-69059158659Enzo Doria11/2015
12532^526849-113233158598Enzo Doria07/2014
1254(2^526763-lucasV(1,2,526763)+1)/2158572Mike Oakes11/2016
12552^526658-3551158540Yves Minet03/2017
12562^526375-23115158455Enzo Doria08/2013
12572^526028-112793158351Enzo Doria07/2014
12582^525690-9221158249Lelio R Paula01/2013
12592*10^158242-7158243Robert Price10/2015
12602^525667-525667^2158242Henri Lifchitz12/2017
12612^525186-1857431158097Enzo Doria10/2015
12622^524515-23245157895Enzo Doria08/2013
12632^524499-109087157890Enzo Doria04/2014
12642^18067*(2^506221+1)-1157827Makoto Morimoto05/2014
12652^524288+189093157827Makoto Morimoto01/2016
1266(2^(2^19)-9333)/(19*23*463*1213*31973)157814Makoto Morimoto09/2017
1267(10^157792+359)/9157792Serge Batalov12/2014
12682^523924+1876591157717Enzo Doria07/2016
1269(46^94841+1)/47157696Robert Price01/2014
12702^523774+77839157672Enzo Doria05/2016
12712^523587+2799143157616Enzo Doria04/2016
12722^523371+1872113157551Enzo Doria05/2016
12732^522535-351457157299Enzo Doria07/2015
12742^522226+2799079157206Enzo Doria04/2016
12752^522134-1849451157178Enzo Doria08/2015
12764*10^157150+93157151Robert Price08/2018
12772^521401-29593156958Enzo Doria08/2015
12782^521348-23397156942Enzo Doria08/2013
1279(98^78797+1)/99156901Paul Bourdelais12/2017
128065^86522+64156857Lelio R Paula04/2016
12818^173687-7^173687156855Jean-Louis Charton09/2004
12822^520977-1858183156830Enzo Doria10/2015
1283(8*10^156718-101)/3156719Robert Price08/2018
12842^520314-1849481156631Enzo Doria08/2015
1285(2^(6*86654+1)-5)/3156513Kevin Acres12/2013
12863*10^156435-97156436Robert Price07/2018
1287(8*10^156371-77)/3156372Robert Price07/2018
128853^90679-52^90679156356Robert Price01/2013
12892^519106-59141156267Enzo Doria10/2015
12902^519053+6077156251Enzo Doria02/2016
12912^518968-1860989156225Enzo Doria11/2015
1292(25*10^156221-7)/9156222Robert Price05/2018
12932^518931-2782297156214Enzo Doria09/2015
12942^518608-2939156117Yves Minet09/2014
129510*27^109005+697156027Curtis Bright05/2015
12962^517967-113485155924Enzo Doria08/2014
12972^517698+4429155843Lelio R Paula01/2013
12982^517543-113257155796Enzo Doria07/2014
129931^104309-30^104309155563Henri Lifchitz08/2013
13002^516742-39851155555Enzo Doria09/2015
13012^516440+1878421155464Enzo Doria08/2016
13022^515863-1867237155291Enzo Doria03/2016
13032^515786-461861155268Enzo Doria07/2015
13042^515644-113247155225Enzo Doria07/2014
1305(7*10^155203+107)/3155204Robert Price02/2018
1306(17*10^155133-89)/9155134Robert Price07/2018
13072^515227-114997155099Enzo Doria06/2015
1309EPrime(155025)155025Eric W. Weisstein10/2010
1308(14*10^155024-221)/9155025Robert Price04/2018
1310(4*10^155022+173)/3155023Robert Price02/2018
1311(115*10^154869-1)/3154871Serge Batalov12/2014
13122^514361+78167154839Enzo Doria05/2016
13132^514281-115033154815Enzo Doria06/2015
13142^514194-3311154788Yves Minet12/2014
13152^513437+1879337154560Enzo Doria09/2016
13162^513306-113201154521Enzo Doria07/2014
1317(10^154494-13)/3154494Robert Price12/2017
13182^513042-113787154442Enzo Doria09/2014
13192^512628-114053154317Enzo Doria11/2014
13202^512529-49783154287Enzo Doria10/2015
13212^512315-115297154223Enzo Doria06/2015
13222^512168+79561154178Enzo Doria06/2016
13232^511658-114371154025Enzo Doria02/2015
1324(57^87719+1)/58154022Paul Bourdelais11/2017
13252^511580-1846679154001Enzo Doria07/2015
13262^511541-113713153990Enzo Doria09/2014
13272^511077-112723153850Enzo Doria06/2014
132869^83653-68^83653153826Robert Price12/2013
13292^510963-113707153816Enzo Doria09/2014
1330(154*10^153810-1)/9153812Serge Batalov12/2014
1331(181*25^109991-75077)/8153763Curtis Bright05/2015
13322*10^153746-3153747Robert Price07/2015
13332^510626+1179379153714Enzo Doria05/2016
1334(7*10^153664+113)/3153665Robert Price02/2018
13352^510420+81121153652Enzo Doria07/2016
1336(197*7^181761-1)/2153608Karsten Bonath05/2017
13372^509894-459161153494Enzo Doria05/2015
13382^509841+71657153478Enzo Doria04/2016
13392^509533-1846723153385Enzo Doria07/2015
13402^509468-39989153366Enzo Doria09/2015
134170^83117-69^83117153360Robert Price01/2014
1342(112*10^153025-1)/3153027Serge Batalov12/2014
13432^508174-1855151152976Enzo Doria09/2015
1344181^67757-2152974Lelio R Paula12/2017
13452^508160-1864829152972Enzo Doria01/2016
13462^507857-1848199152881Enzo Doria07/2015
13472^507638-115361152815Enzo Doria07/2015
13482^507551-114025152789Enzo Doria11/2014
1349(6^196337+1)/7152780Paul Bourdelais02/2010
1350(22*10^152670-13)/9152671Robert Price06/2018
13512^506451-22339152457Enzo Doria07/2013
13522^505995-113185152320Enzo Doria07/2014
1353(4*10^152253+149)/9152253Robert Price04/2018
1354578^55117-577^55117152230Jean-Louis Charton08/2012
13552^505431-505431152150Henri Lifchitz04/2005
13562^505053+73097152037Enzo Doria04/2016
1357(2^504793-7)/46765151954Lelio R Paula12/2017
1358350377#+797581151937Nicolas PALAU08/2017
13592^504618-343991151906Enzo Doria07/2015
13602^504212-461939151783Enzo Doria07/2015
13612^504054-2231151736Yves Minet10/2011
13622^503361-39883151527Enzo Doria09/2015
13632^503225+382667151486Enzo Doria10/2016
1364(26*10^151391-503)/9151392Robert Price07/2018
13652^502769+1877567151349Enzo Doria08/2016
13662^502576-4019151291Yves Minet10/2011
13672^502290-2792501151205Enzo Doria02/2016
13682^502181+1868417151172Enzo Doria04/2016
13692^501781-1850503151052Enzo Doria08/2015
1370(5*10^151007+37)/3151008Robert Price03/2018
13712^501627-991151005Yves Minet02/2014
13722^501577-115333150990Enzo Doria07/2015
13738*10^150975+3150976Robert Price08/2015
13742^501512-113669150971Enzo Doria09/2014
1375(12^139739+1)/13150803Paul Bourdelais09/2011
1376(31^101111-1)/30150792Alexander Zhirkov11/2010
13772^500899-500899150786Henri Lifchitz04/2005
13782^500832+1876801150766Enzo Doria07/2016
1379(23*10^150763-59)/9150764Robert Price05/2018
13802^500699+1884953150726Enzo Doria02/2017
1381(2^500527+lucasV(1,2,500527)+1)/4150674Mike Oakes11/2016
13822^500337-71101150617Enzo Doria04/2016
13832^500160+80071150564Enzo Doria06/2016
1384(2^500120+5)/9150551Lelio R Paula12/2017
1385(10^150551-1)/9/385207015049/57498437921/7808738631274081150512Maksym Voznyy08/2014
1386(10^150551-1)/1556587827131683185788921941743157225041150512Robert Price07/2016
13872^499861-29503150474Enzo Doria08/2015
13882^499653-113533150411Enzo Doria08/2014
13892^499534-221150375Yves Minet06/2012
13902^499225+49727150282Enzo Doria09/2016
13912^499054-29261150231Enzo Doria07/2015
1392(2^498898-7)/9150183Lelio R Paula10/2015
13933*10^150182+17150183Robert Price07/2018
13942^498623+1866983150101Enzo Doria03/2016
1395numbpart(18140942830)150033Serge Batalov04/2017
139610^150029+4381150030Patrick De Geest05/2016
139710^150029-41150029Serge Batalov12/2014
13982^498238-53149985Lelio R Paula12/2017
13992^497850+81049149868Enzo Doria07/2016
1400(5*2^497673+1)/2743149812Lelio R Paula10/2015
1401(5*2^497671+1)/373703149810Lelio R Paula10/2015
1402(2*10^149803-143)/3149803Robert Price03/2018
14032^497434-2784191149743Enzo Doria10/2015
14042^497068-113579149633Enzo Doria08/2014
14052^497037+73727149624Enzo Doria04/2016
14062^496773+77747149544Enzo Doria05/2016
14072^496477-113485149455Enzo Doria08/2014
14082^496270-49451149393Enzo Doria10/2015
14092^496238-1865081149383Enzo Doria01/2016
14102^495968-1853699149302Enzo Doria09/2015
14112^495935-4117149292Yves Minet02/2018
14122^495712-396765149225Enzo Doria07/2013
1413(21*2^495676-1)/4835149211Lelio R Paula10/2015
14142^495420+1880701149137Enzo Doria10/2016
14152^495337-1847293149112Enzo Doria07/2015
1416(2^495193-7)/5149068Lelio R Paula10/2015
1417413^56963-412^56963149013Jean-Louis Charton08/2012
141847^89113-46^89113149006Robert Price10/2012
14192^494916+87855148985Lelio R Paula01/2016
14202^494586-2791991148886Enzo Doria02/2016
14218*10^148860-3148861Ray Chandler04/2011
14222^494333-286183148810Enzo Doria06/2015
14232^494144-264119148753Enzo Doria05/2014
1424(5*2^493838-1)/3721148658Lelio R Paula10/2015
1425(23*2^493761-1)/555148636Lelio R Paula10/2015
14262^493636+82081148600Enzo Doria09/2016
1427((((((((((((((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
1428177487#+(519643#)/(177487#)148558Makoto Morimoto11/2017
1429(2*10^148460-23)/3148460Robert Price04/2018
1430(8*10^148328+1)/9148328Serge Batalov05/2010
14315^211959-12874148153Enzo Doria05/2014
1432187^65175-2148068Lelio R Paula11/2017
14332^491851+1871453148062Enzo Doria05/2016
14342^491521-1865323147963Enzo Doria02/2016
1435(2^491476+7)/71147948Lelio R Paula10/2015
14362^491391-7807147924Lelio R Paula01/2013
14372^491370-113297147918Enzo Doria07/2014
1438(32760^32760+32759^32759)/95546586737133567708319147900Robert Price07/2016
14392^490660-17147704Lelio R Paula12/2017
14402^490550+1179439147671Enzo Doria06/2016
1441(23*10^147649-59)/9147650Robert Price05/2018
14422^490303+2793653147596Enzo Doria03/2016
1443199^64181-2147543Lelio R Paula11/2017
14442^489871-286987147466Enzo Doria07/2015
14452^489864-351899147464Enzo Doria07/2015
1446175^65724-2147422Lelio R Paula11/2017
14472^489712+1874851147419Enzo Doria06/2016
144863^81896-2147359Lelio R Paula10/2017
14492^489305-59815147296Enzo Doria10/2015
1450(2^489280-7)/6381147285Lelio R Paula09/2015
14512^489125+80357147242Enzo Doria06/2016
14522^488648-112799147098Enzo Doria07/2014
14532^488627-350317147092Enzo Doria06/2015
1454(2^488441-1)/(61543567*30051203516986199)147012Dario Alpern12/2014
14552^488280-2165146987Yves Minet07/2014
14562^488278+45146987Lelio R Paula12/2017
14572^487927-39146881Lelio R Paula12/2017
1458(7*10^146860-13)/3146861Robert Price07/2018
14592^487726-1863341146821Enzo Doria12/2015
14602^487121-39523146639Enzo Doria09/2015
1461(7*2^486967+1)/39146591Lelio R Paula09/2015
14622^486893-79146570Yves Minet09/2017
14632^486840+1879141146554Enzo Doria08/2016
14642^486774-87146534Lelio R Paula12/2017
146596^73877-95^73877146445Robert Price10/2015
1466(52^85259+1)/53146304Paul Bourdelais09/2017
1467179^64935+2146290Lelio R Paula10/2017
14682^485531-114621146160Enzo Doria05/2015
1469(2^485461-9)/4249146135Lelio R Paula09/2015
14702^485389+81887146117Enzo Doria08/2016
1471(10^146063+71)/9146063Serge Batalov07/2015
1472(2^485119+7)/2745146032Lelio R Paula09/2015
1473(22*10^146029+257)/9146030Robert Price06/2018
14742^484743+1872923145923Enzo Doria05/2016
14752^484341+1879157145802Enzo Doria08/2016
14762^484271-51145781Lelio R Paula11/2017
147770^78989-69^78989145743Robert Price01/2014
147851^85334+2145714Robert Price07/2015
14792^483886-1857101145665Enzo Doria10/2015
14802^483563-1863457145567Enzo Doria12/2015
14812^483516-1861409145553Enzo Doria11/2015
14822^483384-115019145514Enzo Doria06/2015
14832^483302-3221145489Lelio R Paula12/2012
14842^483046+1874029145412Enzo Doria06/2016
14852^482991-2789317145395Enzo Doria12/2015
14862^482978-2789711145391Enzo Doria12/2015
14872^482966-2789711145388Enzo Doria12/2015
14882^482817-1858843145343Enzo Doria10/2015
14892^482751-113635145323Enzo Doria08/2014
14902^482705-459763145309Enzo Doria05/2015
1491(4^241306+11)/3145281Robert Price03/2017
1492(19*2^482534+1)/7145258Lelio R Paula09/2015
149353^84239-52^84239145252Robert Price01/2013
1494(2^482333+5)/9287145193Lelio R Paula09/2015
14952^482087+72623145123Enzo Doria04/2016
14962^482016-286565145102Enzo Doria07/2015
14972^481840+15145049Robert Price09/2015
14982^481801-481801145037Henri Lifchitz03/2005
14992^481775+1869083145029Enzo Doria05/2016
150029^99167+2145022Ray Chandler08/2011


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: August, 14 2018 21:45 (Time in France)

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