PRP Records

Probable Primes Top 10000

(252402 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 ?
1251(10^162138+11)/3162138Serge Batalov07/2015
12522^538473-112723162097Enzo Doria06/2014
12532^538157+79337162002Enzo Doria06/2016
12542^538136-114749161996Enzo Doria05/2015
12552^538104+1531161986Lelio R Paula01/2013
1256(9*29^110727-1199)/14161927Curtis Bright05/2015
12572^537815-22737161899Enzo Doria07/2013
12582^537804-39839161896Enzo Doria09/2015
12592^537458-59201161791Enzo Doria10/2015
12602*10^161766+51161767Robert Price05/2018
12612^537209-49849161717Enzo Doria10/2015
12622^536937+1879397161635Enzo Doria09/2016
12632^536569-22881161524Enzo Doria07/2013
126410^161253+573493161254Patrick De Geest07/2018
126510^161253-8001161253Robert Price03/2018
12667*10^161192-9161193Robert Price10/2015
12672^535269-113803161133Enzo Doria09/2014
12682^535205-23295161113Enzo Doria08/2013
1269(89^82609+1)/90161036Paul Bourdelais10/2017
12702^534359-23229160859Enzo Doria08/2013
127167^88037-66^88037160763Robert Price10/2013
12722^533948-1852559160735Enzo Doria08/2015
12732^533665-23335160650Enzo Doria08/2013
12743^336353-2^336353160482Mike Oakes10/2007
12752^532253+1868417160225Enzo Doria04/2016
12762^532108-291989160181Enzo Doria07/2015
12772^531110-1853771159881Enzo Doria09/2015
12782^530992-1845299159845Enzo Doria07/2015
1279(136*10^159736-1)/9159738Serge Batalov12/2014
12802^530417-113833159672Enzo Doria09/2014
12812^530406-69701159669Enzo Doria02/2016
12827^188858-188858^7159604Norbert Schneider05/2018
1283(24^115597-1)/23159547Paul Bourdelais09/2017
1284(17*10^159438-377)/9159439Robert Price03/2018
12852^528944-461315159229Enzo Doria07/2015
1286(13*10^159147+161)/3159148Robert Price11/2018
12872^528620-113879159131Enzo Doria10/2014
12882^528000-23307158944Enzo Doria08/2013
1289(29*10^158909+61)/9158910Robert Price08/2018
12902^527817+1876817158889Enzo Doria07/2016
12912^527774-49451158876Enzo Doria10/2015
12922^527745-291553158868Enzo Doria07/2015
12932^527644-1856999158837Enzo Doria10/2015
1294(37200^37199-37198^37199)/(2^37199)158822Henri Lifchitz06/2013
12952^527573-1863253158816Enzo Doria12/2015
12962^527553-23401158810Enzo Doria08/2013
129711^152420-210158730Enzo Doria09/2012
1298(13*10^158694+401)/9158695Robert Price01/2018
12992^527052-69059158659Enzo Doria11/2015
13002^526849-113233158598Enzo Doria07/2014
1301(2^526763-lucasV(1,2,526763)+1)/2158572Mike Oakes11/2016
13022^526658-3551158540Yves Minet03/2017
13032^526375-23115158455Enzo Doria08/2013
13042^526028-112793158351Enzo Doria07/2014
13052^525690-9221158249Lelio R Paula01/2013
13062*10^158242-7158243Robert Price10/2015
13072^525667-525667^2158242Henri Lifchitz12/2017
13082^525186-1857431158097Enzo Doria10/2015
13092^524515-23245157895Enzo Doria08/2013
13102^524499-109087157890Enzo Doria04/2014
13112^18067*(2^506221+1)-1157827Makoto Morimoto05/2014
13122^524288+189093157827Makoto Morimoto01/2016
1313(2^(2^19)-9333)/(19*23*463*1213*31973)157814Makoto Morimoto09/2017
1314(10^157792+359)/9157792Serge Batalov12/2014
13152^523924+1876591157717Enzo Doria07/2016
1316(46^94841+1)/47157696Robert Price01/2014
13172^523774+77839157672Enzo Doria05/2016
13182^523587+2799143157616Enzo Doria04/2016
13192^523371+1872113157551Enzo Doria05/2016
13202^522535-351457157299Enzo Doria07/2015
13212^522226+2799079157206Enzo Doria04/2016
13222^522134-1849451157178Enzo Doria08/2015
13234*10^157150+93157151Robert Price08/2018
13242^521401-29593156958Enzo Doria08/2015
13252^521348-23397156942Enzo Doria08/2013
1326(98^78797+1)/99156901Paul Bourdelais12/2017
132765^86522+64156857Lelio R Paula04/2016
13288^173687-7^173687156855Jean-Louis Charton09/2004
13292^520977-1858183156830Enzo Doria10/2015
1330(8*10^156718-101)/3156719Robert Price08/2018
13312^520314-1849481156631Enzo Doria08/2015
1332(13*10^156522+89)/3156523Robert Price09/2018
1333(2^(6*86654+1)-5)/3156513Kevin Acres12/2013
13343*10^156435-97156436Robert Price07/2018
1335(8*10^156371-77)/3156372Robert Price07/2018
133653^90679-52^90679156356Robert Price01/2013
13372^519106-59141156267Enzo Doria10/2015
13382^519053+6077156251Enzo Doria02/2016
13392^518968-1860989156225Enzo Doria11/2015
1340(25*10^156221-7)/9156222Robert Price05/2018
13412^518931-2782297156214Enzo Doria09/2015
13422^518608-2939156117Yves Minet09/2014
134310*27^109005+697156027Curtis Bright05/2015
13442^517967-113485155924Enzo Doria08/2014
13452^517698+4429155843Lelio R Paula01/2013
13462^517543-113257155796Enzo Doria07/2014
1347(14*10^155740-143)/3155741Robert Price11/2018
134831^104309-30^104309155563Henri Lifchitz08/2013
13492^516742-39851155555Enzo Doria09/2015
13502^516440+1878421155464Enzo Doria08/2016
13512^515863-1867237155291Enzo Doria03/2016
13522^515786-461861155268Enzo Doria07/2015
13532^515644-113247155225Enzo Doria07/2014
1354(7*10^155203+107)/3155204Robert Price02/2018
1355(17*10^155133-89)/9155134Robert Price07/2018
13562^515227-114997155099Enzo Doria06/2015
1358EPrime(155025)155025Eric W. Weisstein10/2010
1357(14*10^155024-221)/9155025Robert Price04/2018
1359(4*10^155022+173)/3155023Robert Price02/2018
1360(115*10^154869-1)/3154871Serge Batalov12/2014
13612^514361+78167154839Enzo Doria05/2016
13622^514281-115033154815Enzo Doria06/2015
13632^514194-3311154788Yves Minet12/2014
1364(14*10^154773+37)/3154774Robert Price12/2018
13652^513437+1879337154560Enzo Doria09/2016
13662^513306-113201154521Enzo Doria07/2014
1367(10^154494-13)/3154494Robert Price12/2017
13682^513042-113787154442Enzo Doria09/2014
13692^512628-114053154317Enzo Doria11/2014
13702^512529-49783154287Enzo Doria10/2015
13712^512315-115297154223Enzo Doria06/2015
13722^512168+79561154178Enzo Doria06/2016
13734*10^154078-57154079Robert Price10/2018
13742^511658-114371154025Enzo Doria02/2015
1375(57^87719+1)/58154022Paul Bourdelais11/2017
13762^511580-1846679154001Enzo Doria07/2015
13772^511541-113713153990Enzo Doria09/2014
13782^511077-112723153850Enzo Doria06/2014
137969^83653-68^83653153826Robert Price12/2013
13802^510963-113707153816Enzo Doria09/2014
1381(154*10^153810-1)/9153812Serge Batalov12/2014
1382(181*25^109991-75077)/8153763Curtis Bright05/2015
13832*10^153746-3153747Robert Price07/2015
13842^510626+1179379153714Enzo Doria05/2016
1385(7*10^153664+113)/3153665Robert Price02/2018
13862^510420+81121153652Enzo Doria07/2016
1387(197*7^181761-1)/2153608Karsten Bonath05/2017
13882^509894-459161153494Enzo Doria05/2015
13892^509841+71657153478Enzo Doria04/2016
13902^509533-1846723153385Enzo Doria07/2015
13912^509468-39989153366Enzo Doria09/2015
139270^83117-69^83117153360Robert Price01/2014
1393(112*10^153025-1)/3153027Serge Batalov12/2014
13942^508174-1855151152976Enzo Doria09/2015
1395181^67757-2152974Lelio R Paula12/2017
13962^508160-1864829152972Enzo Doria01/2016
13972^507857-1848199152881Enzo Doria07/2015
13982^507638-115361152815Enzo Doria07/2015
13992^507551-114025152789Enzo Doria11/2014
1400(6^196337+1)/7152780Paul Bourdelais02/2010
1401(22*10^152670-13)/9152671Robert Price06/2018
14022^506451-22339152457Enzo Doria07/2013
14032^505995-113185152320Enzo Doria07/2014
1404(4*10^152253+149)/9152253Robert Price04/2018
1405578^55117-577^55117152230Jean-Louis Charton08/2012
14062^505431-505431152150Henri Lifchitz04/2005
14072^505053+73097152037Enzo Doria04/2016
1408(2^504793-7)/46765151954Lelio R Paula12/2017
1409350377#+797581151937Nicolas PALAU08/2017
14102^504618-343991151906Enzo Doria07/2015
14112^504212-461939151783Enzo Doria07/2015
14122^504054-2231151736Yves Minet10/2011
14132^503361-39883151527Enzo Doria09/2015
14142^503225+382667151486Enzo Doria10/2016
1415(26*10^151391-503)/9151392Robert Price07/2018
14162^502769+1877567151349Enzo Doria08/2016
14172^502576-4019151291Yves Minet10/2011
14182^502290-2792501151205Enzo Doria02/2016
14192^502181+1868417151172Enzo Doria04/2016
14202^501781-1850503151052Enzo Doria08/2015
1421(5*10^151007+37)/3151008Robert Price03/2018
14222^501627-991151005Yves Minet02/2014
14232^501577-115333150990Enzo Doria07/2015
14248*10^150975+3150976Robert Price08/2015
14252^501512-113669150971Enzo Doria09/2014
1426(12^139739+1)/13150803Paul Bourdelais09/2011
1427(31^101111-1)/30150792Alexander Zhirkov11/2010
14282^500899-500899150786Henri Lifchitz04/2005
14292^500832+1876801150766Enzo Doria07/2016
1430(23*10^150763-59)/9150764Robert Price05/2018
14312^500699+1884953150726Enzo Doria02/2017
1432(2^500527+lucasV(1,2,500527)+1)/4150674Mike Oakes11/2016
14332^500337-71101150617Enzo Doria04/2016
14344*10^150577+91150578Robert Price08/2018
14352^500160+80071150564Enzo Doria06/2016
1436(2^500120+5)/9150551Lelio R Paula12/2017
1438(10^150551-1)/9/385207015049/57498437921/7808738631274081150512Maksym Voznyy08/2014
1437(10^150551-1)/1556587827131683185788921941743157225041150512Robert Price07/2016
14392^499861-29503150474Enzo Doria08/2015
14402^499653-113533150411Enzo Doria08/2014
14412^499534-221150375Yves Minet06/2012
14422^499225+49727150282Enzo Doria09/2016
14432^499054-29261150231Enzo Doria07/2015
1444(2^498898-7)/9150183Lelio R Paula10/2015
14453*10^150182+17150183Robert Price07/2018
14462^498623+1866983150101Enzo Doria03/2016
1447numbpart(18140942830)150033Serge Batalov04/2017
144810^150029+4381150030Patrick De Geest05/2016
144910^150029-41150029Serge Batalov12/2014
145010^150000+1158603150001Patrick De Geest09/2018
145110^150000-245703150000Patrick De Geest09/2018
1452(38*10^149999+691)/9150000Robert Price10/2018
14532^498238-53149985Lelio R Paula12/2017
14542^497850+81049149868Enzo Doria07/2016
1455(5*2^497673+1)/2743149812Lelio R Paula10/2015
1456(5*2^497671+1)/373703149810Lelio R Paula10/2015
1457(2*10^149803-143)/3149803Robert Price03/2018
14582^497434-2784191149743Enzo Doria10/2015
14592^497068-113579149633Enzo Doria08/2014
14602^497037+73727149624Enzo Doria04/2016
14612^496773+77747149544Enzo Doria05/2016
14622^496477-113485149455Enzo Doria08/2014
14632^496270-49451149393Enzo Doria10/2015
14642^496238-1865081149383Enzo Doria01/2016
14652^495968-1853699149302Enzo Doria09/2015
14662^495935-4117149292Yves Minet02/2018
14672^495712-396765149225Enzo Doria07/2013
1468(21*2^495676-1)/4835149211Lelio R Paula10/2015
14692^495420+1880701149137Enzo Doria10/2016
14702^495337-1847293149112Enzo Doria07/2015
1471(2^495193-7)/5149068Lelio R Paula10/2015
1472413^56963-412^56963149013Jean-Louis Charton08/2012
147347^89113-46^89113149006Robert Price10/2012
14742^494916+87855148985Lelio R Paula01/2016
14752^494586-2791991148886Enzo Doria02/2016
14768*10^148860-3148861Ray Chandler04/2011
14772^494333-286183148810Enzo Doria06/2015
14782^494144-264119148753Enzo Doria05/2014
1479(5*2^493838-1)/3721148658Lelio R Paula10/2015
1480(23*2^493761-1)/555148636Lelio R Paula10/2015
14812^493636+82081148600Enzo Doria09/2016
1482((((((((((((((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
1483177487#+(519643#)/(177487#)148558Makoto Morimoto11/2017
1484(2*10^148460-23)/3148460Robert Price04/2018
1485(8*10^148328+1)/9148328Serge Batalov05/2010
14865^211959-12874148153Enzo Doria05/2014
1487187^65175-2148068Lelio R Paula11/2017
14882^491851+1871453148062Enzo Doria05/2016
14892^491521-1865323147963Enzo Doria02/2016
1490(2^491476+7)/71147948Lelio R Paula10/2015
14912^491391-7807147924Lelio R Paula01/2013
14922^491370-113297147918Enzo Doria07/2014
1493(32760^32760+32759^32759)/95546586737133567708319147900Robert Price07/2016
14942^490660-17147704Lelio R Paula12/2017
14952^490550+1179439147671Enzo Doria06/2016
1496(23*10^147649-59)/9147650Robert Price05/2018
14972^490303+2793653147596Enzo Doria03/2016
1498199^64181-2147543Lelio R Paula11/2017
14992^489871-286987147466Enzo Doria07/2015
15002^489864-351899147464Enzo Doria07/2015


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: December, 17 2018 20:37 (Time in France)

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