PRP Records

Probable Primes Top 10000

(212140 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 ?
12512^520977-1858183156830Enzo Doria10/2015
12522^520314-1849481156631Enzo Doria08/2015
1253(2^(6*86654+1)-5)/3156513Kevin Acres12/2013
125453^90679-52^90679156356Robert Price01/2013
12552^519106-59141156267Enzo Doria10/2015
12562^519053+6077156251Enzo Doria02/2016
12572^518968-1860989156225Enzo Doria11/2015
1258(25*10^156221-7)/9156222Robert Price05/2018
12592^518931-2782297156214Enzo Doria09/2015
12602^518608-2939156117Yves Minet09/2014
126110*27^109005+697156027Curtis Bright05/2015
12622^517967-113485155924Enzo Doria08/2014
12632^517698+4429155843Lelio R Paula01/2013
12642^517543-113257155796Enzo Doria07/2014
126531^104309-30^104309155563Henri Lifchitz08/2013
12662^516742-39851155555Enzo Doria09/2015
12672^516440+1878421155464Enzo Doria08/2016
12682^515863-1867237155291Enzo Doria03/2016
12692^515786-461861155268Enzo Doria07/2015
12702^515644-113247155225Enzo Doria07/2014
1271(7*10^155203+107)/3155204Robert Price02/2018
12722^515227-114997155099Enzo Doria06/2015
1273EPrime(155025)155025Eric W. Weisstein10/2010
1274(14*10^155024-221)/9155025Robert Price04/2018
1275(4*10^155022+173)/3155023Robert Price02/2018
1276(115*10^154869-1)/3154871Serge Batalov12/2014
12772^514361+78167154839Enzo Doria05/2016
12782^514281-115033154815Enzo Doria06/2015
12792^514194-3311154788Yves Minet12/2014
12802^513437+1879337154560Enzo Doria09/2016
12812^513306-113201154521Enzo Doria07/2014
1282(10^154494-13)/3154494Robert Price12/2017
12832^513042-113787154442Enzo Doria09/2014
12842^512628-114053154317Enzo Doria11/2014
12852^512529-49783154287Enzo Doria10/2015
12862^512315-115297154223Enzo Doria06/2015
12872^512168+79561154178Enzo Doria06/2016
12882^511658-114371154025Enzo Doria02/2015
1289(57^87719+1)/58154022Paul Bourdelais11/2017
12902^511580-1846679154001Enzo Doria07/2015
12912^511541-113713153990Enzo Doria09/2014
12922^511077-112723153850Enzo Doria06/2014
129369^83653-68^83653153826Robert Price12/2013
12942^510963-113707153816Enzo Doria09/2014
1295(154*10^153810-1)/9153812Serge Batalov12/2014
1296(181*25^109991-75077)/8153763Curtis Bright05/2015
12972*10^153746-3153747Robert Price07/2015
12982^510626+1179379153714Enzo Doria05/2016
1299(7*10^153664+113)/3153665Robert Price02/2018
13002^510420+81121153652Enzo Doria07/2016
1301(197*7^181761-1)/2153608Karsten Bonath05/2017
13022^509894-459161153494Enzo Doria05/2015
13032^509841+71657153478Enzo Doria04/2016
13042^509533-1846723153385Enzo Doria07/2015
13052^509468-39989153366Enzo Doria09/2015
130670^83117-69^83117153360Robert Price01/2014
1307(112*10^153025-1)/3153027Serge Batalov12/2014
13082^508174-1855151152976Enzo Doria09/2015
1309181^67757-2152974Lelio R Paula12/2017
13102^508160-1864829152972Enzo Doria01/2016
13112^507857-1848199152881Enzo Doria07/2015
13122^507638-115361152815Enzo Doria07/2015
13132^507551-114025152789Enzo Doria11/2014
1314(6^196337+1)/7152780Paul Bourdelais02/2010
1315(22*10^152670-13)/9152671Robert Price06/2018
13162^506451-22339152457Enzo Doria07/2013
13172^505995-113185152320Enzo Doria07/2014
1318(4*10^152253+149)/9152253Robert Price04/2018
1319578^55117-577^55117152230Jean-Louis Charton08/2012
13202^505431-505431152150Henri Lifchitz04/2005
13212^505053+73097152037Enzo Doria04/2016
1322(2^504793-7)/46765151954Lelio R Paula12/2017
1323350377#+797581151937Nicolas PALAU08/2017
13242^504618-343991151906Enzo Doria07/2015
13252^504212-461939151783Enzo Doria07/2015
13262^504054-2231151736Yves Minet10/2011
13272^503361-39883151527Enzo Doria09/2015
13282^503225+382667151486Enzo Doria10/2016
13292^502769+1877567151349Enzo Doria08/2016
13302^502576-4019151291Yves Minet10/2011
13312^502290-2792501151205Enzo Doria02/2016
13322^502181+1868417151172Enzo Doria04/2016
13332^501781-1850503151052Enzo Doria08/2015
1334(5*10^151007+37)/3151008Robert Price03/2018
13352^501627-991151005Yves Minet02/2014
13362^501577-115333150990Enzo Doria07/2015
13378*10^150975+3150976Robert Price08/2015
13382^501512-113669150971Enzo Doria09/2014
1339(12^139739+1)/13150803Paul Bourdelais09/2011
1340(31^101111-1)/30150792Alexander Zhirkov11/2010
13412^500899-500899150786Henri Lifchitz04/2005
13422^500832+1876801150766Enzo Doria07/2016
1343(23*10^150763-59)/9150764Robert Price05/2018
13442^500699+1884953150726Enzo Doria02/2017
1345(2^500527+lucasV(1,2,500527)+1)/4150674Mike Oakes11/2016
13462^500337-71101150617Enzo Doria04/2016
13472^500160+80071150564Enzo Doria06/2016
1348(2^500120+5)/9150551Lelio R Paula12/2017
1349(10^150551-1)/9/385207015049/57498437921/7808738631274081150512Maksym Voznyy08/2014
1350(10^150551-1)/1556587827131683185788921941743157225041150512Robert Price07/2016
13512^499861-29503150474Enzo Doria08/2015
13522^499653-113533150411Enzo Doria08/2014
13532^499534-221150375Yves Minet06/2012
13542^499225+49727150282Enzo Doria09/2016
13552^499054-29261150231Enzo Doria07/2015
1356(2^498898-7)/9150183Lelio R Paula10/2015
13572^498623+1866983150101Enzo Doria03/2016
1358numbpart(18140942830)150033Serge Batalov04/2017
135910^150029+4381150030Patrick De Geest05/2016
136010^150029-41150029Serge Batalov12/2014
13612^498238-53149985Lelio R Paula12/2017
13622^497850+81049149868Enzo Doria07/2016
1363(5*2^497673+1)/2743149812Lelio R Paula10/2015
1364(5*2^497671+1)/373703149810Lelio R Paula10/2015
1365(2*10^149803-143)/3149803Robert Price03/2018
13662^497434-2784191149743Enzo Doria10/2015
13672^497068-113579149633Enzo Doria08/2014
13682^497037+73727149624Enzo Doria04/2016
13692^496773+77747149544Enzo Doria05/2016
13702^496477-113485149455Enzo Doria08/2014
13712^496270-49451149393Enzo Doria10/2015
13722^496238-1865081149383Enzo Doria01/2016
13732^495968-1853699149302Enzo Doria09/2015
13742^495935-4117149292Yves Minet02/2018
13752^495712-396765149225Enzo Doria07/2013
1376(21*2^495676-1)/4835149211Lelio R Paula10/2015
13772^495420+1880701149137Enzo Doria10/2016
13782^495337-1847293149112Enzo Doria07/2015
1379(2^495193-7)/5149068Lelio R Paula10/2015
1380413^56963-412^56963149013Jean-Louis Charton08/2012
138147^89113-46^89113149006Robert Price10/2012
13822^494916+87855148985Lelio R Paula01/2016
13832^494586-2791991148886Enzo Doria02/2016
13848*10^148860-3148861Ray Chandler04/2011
13852^494333-286183148810Enzo Doria06/2015
13862^494144-264119148753Enzo Doria05/2014
1387(5*2^493838-1)/3721148658Lelio R Paula10/2015
1388(23*2^493761-1)/555148636Lelio R Paula10/2015
13892^493636+82081148600Enzo Doria09/2016
1390((((((((((((((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
1391177487#+(519643#)/(177487#)148558Makoto Morimoto11/2017
1392(2*10^148460-23)/3148460Robert Price04/2018
1393(8*10^148328+1)/9148328Serge Batalov05/2010
13945^211959-12874148153Enzo Doria05/2014
1395187^65175-2148068Lelio R Paula11/2017
13962^491851+1871453148062Enzo Doria05/2016
13972^491521-1865323147963Enzo Doria02/2016
1398(2^491476+7)/71147948Lelio R Paula10/2015
13992^491391-7807147924Lelio R Paula01/2013
14002^491370-113297147918Enzo Doria07/2014
1401(32760^32760+32759^32759)/95546586737133567708319147900Robert Price07/2016
14022^490660-17147704Lelio R Paula12/2017
14032^490550+1179439147671Enzo Doria06/2016
1404(23*10^147649-59)/9147650Robert Price05/2018
14052^490303+2793653147596Enzo Doria03/2016
1406199^64181-2147543Lelio R Paula11/2017
14072^489871-286987147466Enzo Doria07/2015
14082^489864-351899147464Enzo Doria07/2015
1409175^65724-2147422Lelio R Paula11/2017
14102^489712+1874851147419Enzo Doria06/2016
141163^81896-2147359Lelio R Paula10/2017
14122^489305-59815147296Enzo Doria10/2015
1413(2^489280-7)/6381147285Lelio R Paula09/2015
14142^489125+80357147242Enzo Doria06/2016
14152^488648-112799147098Enzo Doria07/2014
14162^488627-350317147092Enzo Doria06/2015
1417(2^488441-1)/(61543567*30051203516986199)147012Dario Alpern12/2014
14182^488280-2165146987Yves Minet07/2014
14192^488278+45146987Lelio R Paula12/2017
14202^487927-39146881Lelio R Paula12/2017
14212^487726-1863341146821Enzo Doria12/2015
14222^487121-39523146639Enzo Doria09/2015
1423(7*2^486967+1)/39146591Lelio R Paula09/2015
14242^486893-79146570Yves Minet09/2017
14252^486840+1879141146554Enzo Doria08/2016
14262^486774-87146534Lelio R Paula12/2017
142796^73877-95^73877146445Robert Price10/2015
1428(52^85259+1)/53146304Paul Bourdelais09/2017
1429179^64935+2146290Lelio R Paula10/2017
14302^485531-114621146160Enzo Doria05/2015
1431(2^485461-9)/4249146135Lelio R Paula09/2015
14322^485389+81887146117Enzo Doria08/2016
1433(10^146063+71)/9146063Serge Batalov07/2015
1434(2^485119+7)/2745146032Lelio R Paula09/2015
1435(22*10^146029+257)/9146030Robert Price06/2018
14362^484743+1872923145923Enzo Doria05/2016
14372^484341+1879157145802Enzo Doria08/2016
14382^484271-51145781Lelio R Paula11/2017
143970^78989-69^78989145743Robert Price01/2014
144051^85334+2145714Robert Price07/2015
14412^483886-1857101145665Enzo Doria10/2015
14422^483563-1863457145567Enzo Doria12/2015
14432^483516-1861409145553Enzo Doria11/2015
14442^483384-115019145514Enzo Doria06/2015
14452^483302-3221145489Lelio R Paula12/2012
14462^483046+1874029145412Enzo Doria06/2016
14472^482991-2789317145395Enzo Doria12/2015
14482^482978-2789711145391Enzo Doria12/2015
14492^482966-2789711145388Enzo Doria12/2015
14502^482817-1858843145343Enzo Doria10/2015
14512^482751-113635145323Enzo Doria08/2014
14522^482705-459763145309Enzo Doria05/2015
1453(4^241306+11)/3145281Robert Price03/2017
1454(19*2^482534+1)/7145258Lelio R Paula09/2015
145553^84239-52^84239145252Robert Price01/2013
1456(2^482333+5)/9287145193Lelio R Paula09/2015
14572^482087+72623145123Enzo Doria04/2016
14582^482016-286565145102Enzo Doria07/2015
14592^481840+15145049Robert Price09/2015
14602^481801-481801145037Henri Lifchitz03/2005
14612^481775+1869083145029Enzo Doria05/2016
146229^99167+2145022Ray Chandler08/2011
14632^481663+1875653144996Enzo Doria07/2016
14642^481149-459073144841Enzo Doria05/2015
14652^481045-113215144809Enzo Doria07/2014
14662^480859-113695144753Enzo Doria09/2014
14672^480766-2787191144725Enzo Doria11/2015
1468(21*27^101106-151)/26144720Curtis Bright05/2015
14692^480678+1874239144699Enzo Doria06/2016
1470(8*10^144683+1)/9144683Serge Batalov05/2010
1471L(692147)144651Henri Lifchitz10/2008
14722^480417+35144620Robert Price11/2015
14732^480296-59879144584Enzo Doria10/2015
14742^479844+3144448Donovan Johnson06/2006
1475(27*2^479642+1)/733144386Lelio R Paula08/2015
1476(21*2^479605-1)/11144376Lelio R Paula09/2015
14772^479348-2792219144299Enzo Doria02/2016
14783^302389-6242144277Enzo Doria05/2014
14792*10^144220-3144221Robert Price07/2015
14802^478904-109109144165Enzo Doria04/2014
14812^478337-115333143994Enzo Doria07/2015
1482(7*2^478330-1)/3143993Lelio R Paula08/2015
148388^74047-87^74047143984Robert Price05/2015
1484(19*10^143963+467)/9143964Robert Price02/2018
1485(71^77761+1)/72143954Paul Bourdelais09/2017
14862^478088+27143919Robert Price11/2015
14872^477475-22071143735Enzo Doria07/2013
14882^477417-22123143717Enzo Doria07/2013
14892^477359-3577143700Yves Minet03/2017
14902^476936-396765143573Enzo Doria07/2013
14912^476888-2791229143558Enzo Doria01/2016
14922^476868-1859939143552Enzo Doria11/2015
14932^476558-113627143459Enzo Doria08/2014
14942^476478-45143435Lelio R Paula11/2017
1495(2^475854+9)/73143245Lelio R Paula08/2015
14962^475813-113239143234Enzo Doria07/2014
14972^475624-114059143178Enzo Doria11/2014
1498(11*2^475553-7)/15143156Renaud Lifchitz03/2011
14992^475480-2786129143134Enzo Doria10/2015
15002^475299-111937143080Enzo Doria05/2014


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: June, 20 2018 08:38 (Time in France)

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