PRP Records

Probable Primes Top 10000

(252538 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 ?
12512^545185+76757164118Enzo Doria05/2016
12522^545076-114329164085Enzo Doria01/2015
1253(2*10^164043-143)/3164043Robert Price03/2018
1254(29^112153+1)/30164011Lelio R Paula03/2017
12552^544757+1874777163989Enzo Doria06/2016
12562^544444-457199163894Enzo Doria01/2015
12572^544264-343529163840Enzo Doria07/2015
12587*10^163780+9163781Robert Price09/2015
12592^543989+2793047163758Enzo Doria02/2016
12602^542870-69551163421Enzo Doria12/2015
12612^542395+72533163278Enzo Doria04/2016
12622^542072-3683163180Yves Minet03/2017
12632^541779-1867357163092Enzo Doria04/2016
12648*10^162924+9162925Robert Price12/2015
12652^540905+81557162829Enzo Doria08/2016
12662^540628-2939162746Yves Minet09/2014
1267919^54919-918^54919162743Jean-Louis Charton01/2013
12683*10^162620-59162621Robert Price09/2018
12693^340694-112960162553Enzo Doria07/2014
12702^539807-114081162499Enzo Doria12/2014
12712^539654-114893162453Enzo Doria05/2015
12722^539617-1851583162441Enzo Doria08/2015
12732^539346+81049162360Enzo Doria07/2016
12742^539220-115499162322Enzo Doria07/2015
12752^539217-113713162321Enzo Doria09/2014
12769^170099-8^170099162316Jean-Louis Charton05/2005
1277(115*10^162153-1)/3162155Serge Batalov12/2014
1278(10^162138+11)/3162138Serge Batalov07/2015
12792^538473-112723162097Enzo Doria06/2014
12802^538157+79337162002Enzo Doria06/2016
12812^538136-114749161996Enzo Doria05/2015
12822^538104+1531161986Lelio R Paula01/2013
1283(9*29^110727-1199)/14161927Curtis Bright05/2015
12842^537815-22737161899Enzo Doria07/2013
12852^537804-39839161896Enzo Doria09/2015
12862^537458-59201161791Enzo Doria10/2015
12872*10^161766+51161767Robert Price05/2018
12882^537209-49849161717Enzo Doria10/2015
12892^536937+1879397161635Enzo Doria09/2016
12902^536569-22881161524Enzo Doria07/2013
129110^161253+573493161254Patrick De Geest07/2018
129210^161253-8001161253Robert Price03/2018
12937*10^161192-9161193Robert Price10/2015
12942^535269-113803161133Enzo Doria09/2014
12952^535205-23295161113Enzo Doria08/2013
1296(89^82609+1)/90161036Paul Bourdelais10/2017
12972^534359-23229160859Enzo Doria08/2013
129867^88037-66^88037160763Robert Price10/2013
12992^533948-1852559160735Enzo Doria08/2015
13002^533665-23335160650Enzo Doria08/2013
13013^336353-2^336353160482Mike Oakes10/2007
13022^532253+1868417160225Enzo Doria04/2016
13032^532108-291989160181Enzo Doria07/2015
1304(17*10^160143+67)/3160144Robert Price01/2019
13052^531110-1853771159881Enzo Doria09/2015
13062^530992-1845299159845Enzo Doria07/2015
1307(136*10^159736-1)/9159738Serge Batalov12/2014
13082^530417-113833159672Enzo Doria09/2014
13092^530406-69701159669Enzo Doria02/2016
13107^188858-188858^7159604Norbert Schneider05/2018
1311(24^115597-1)/23159547Paul Bourdelais09/2017
1312(17*10^159438-377)/9159439Robert Price03/2018
13132^528944-461315159229Enzo Doria07/2015
1314(13*10^159147+161)/3159148Robert Price11/2018
13152^528620-113879159131Enzo Doria10/2014
13162^528000-23307158944Enzo Doria08/2013
1317(29*10^158909+61)/9158910Robert Price08/2018
13182^527817+1876817158889Enzo Doria07/2016
13192^527774-49451158876Enzo Doria10/2015
13202^527745-291553158868Enzo Doria07/2015
13212^527644-1856999158837Enzo Doria10/2015
1322(37200^37199-37198^37199)/(2^37199)158822Henri Lifchitz06/2013
13232^527573-1863253158816Enzo Doria12/2015
13242^527553-23401158810Enzo Doria08/2013
132511^152420-210158730Enzo Doria09/2012
1326(13*10^158694+401)/9158695Robert Price01/2018
13272^527052-69059158659Enzo Doria11/2015
13282^526849-113233158598Enzo Doria07/2014
1329(2^526763-lucasV(1,2,526763)+1)/2158572Mike Oakes11/2016
13302^526658-3551158540Yves Minet03/2017
13312^526375-23115158455Enzo Doria08/2013
13322^526028-112793158351Enzo Doria07/2014
13332^525690-9221158249Lelio R Paula01/2013
13342*10^158242-7158243Robert Price10/2015
13352^525667-525667^2158242Henri Lifchitz12/2017
13362^525186-1857431158097Enzo Doria10/2015
13372^524515-23245157895Enzo Doria08/2013
13382^524499-109087157890Enzo Doria04/2014
13392^18067*(2^506221+1)-1157827Makoto Morimoto05/2014
13402^524288+189093157827Makoto Morimoto01/2016
1341(2^(2^19)-9333)/(19*23*463*1213*31973)157814Makoto Morimoto09/2017
1342(10^157792+359)/9157792Serge Batalov12/2014
13432^523924+1876591157717Enzo Doria07/2016
1344(17*10^157705+67)/3157706Robert Price01/2019
1345(46^94841+1)/47157696Robert Price01/2014
13462^523774+77839157672Enzo Doria05/2016
13472^523587+2799143157616Enzo Doria04/2016
13482^523371+1872113157551Enzo Doria05/2016
13492^522535-351457157299Enzo Doria07/2015
13502^522226+2799079157206Enzo Doria04/2016
13512^522134-1849451157178Enzo Doria08/2015
13524*10^157150+93157151Robert Price08/2018
13532^521401-29593156958Enzo Doria08/2015
13542^521348-23397156942Enzo Doria08/2013
1355(98^78797+1)/99156901Paul Bourdelais12/2017
135665^86522+64156857Lelio R Paula04/2016
13578^173687-7^173687156855Jean-Louis Charton09/2004
13582^520977-1858183156830Enzo Doria10/2015
1359(8*10^156718-101)/3156719Robert Price08/2018
13602^520314-1849481156631Enzo Doria08/2015
1361(13*10^156522+89)/3156523Robert Price09/2018
1362(2^(6*86654+1)-5)/3156513Kevin Acres12/2013
13633*10^156435-97156436Robert Price07/2018
1364(8*10^156371-77)/3156372Robert Price07/2018
136553^90679-52^90679156356Robert Price01/2013
13662^519106-59141156267Enzo Doria10/2015
13672^519053+6077156251Enzo Doria02/2016
13682^518968-1860989156225Enzo Doria11/2015
1369(25*10^156221-7)/9156222Robert Price05/2018
13702^518931-2782297156214Enzo Doria09/2015
13712^518608-2939156117Yves Minet09/2014
137210*27^109005+697156027Curtis Bright05/2015
13732^517967-113485155924Enzo Doria08/2014
13742^517698+4429155843Lelio R Paula01/2013
13752^517543-113257155796Enzo Doria07/2014
1376(14*10^155740-143)/3155741Robert Price11/2018
137731^104309-30^104309155563Henri Lifchitz08/2013
13782^516742-39851155555Enzo Doria09/2015
13792^516440+1878421155464Enzo Doria08/2016
13802^515863-1867237155291Enzo Doria03/2016
13812^515786-461861155268Enzo Doria07/2015
13822^515644-113247155225Enzo Doria07/2014
1383(7*10^155203+107)/3155204Robert Price02/2018
1384(17*10^155133-89)/9155134Robert Price07/2018
13852^515227-114997155099Enzo Doria06/2015
1386EPrime(155025)155025Eric W. Weisstein10/2010
1387(14*10^155024-221)/9155025Robert Price04/2018
1388(4*10^155022+173)/3155023Robert Price02/2018
1389(115*10^154869-1)/3154871Serge Batalov12/2014
13902^514361+78167154839Enzo Doria05/2016
13912^514281-115033154815Enzo Doria06/2015
13922^514194-3311154788Yves Minet12/2014
1393(14*10^154773+37)/3154774Robert Price12/2018
13942^513437+1879337154560Enzo Doria09/2016
13952^513306-113201154521Enzo Doria07/2014
1396(10^154494-13)/3154494Robert Price12/2017
13972^513042-113787154442Enzo Doria09/2014
13982^512628-114053154317Enzo Doria11/2014
13992^512529-49783154287Enzo Doria10/2015
14002^512315-115297154223Enzo Doria06/2015
14012^512168+79561154178Enzo Doria06/2016
14024*10^154078-57154079Robert Price10/2018
14032^511658-114371154025Enzo Doria02/2015
1404(57^87719+1)/58154022Paul Bourdelais11/2017
14052^511580-1846679154001Enzo Doria07/2015
14062^511541-113713153990Enzo Doria09/2014
14072^511077-112723153850Enzo Doria06/2014
140869^83653-68^83653153826Robert Price12/2013
14092^510963-113707153816Enzo Doria09/2014
1410(154*10^153810-1)/9153812Serge Batalov12/2014
1411(181*25^109991-75077)/8153763Curtis Bright05/2015
14122*10^153746-3153747Robert Price07/2015
14132^510626+1179379153714Enzo Doria05/2016
1414(7*10^153664+113)/3153665Robert Price02/2018
14152^510420+81121153652Enzo Doria07/2016
1416(197*7^181761-1)/2153608Karsten Bonath05/2017
14172^509894-459161153494Enzo Doria05/2015
14182^509841+71657153478Enzo Doria04/2016
14192^509533-1846723153385Enzo Doria07/2015
14202^509468-39989153366Enzo Doria09/2015
142170^83117-69^83117153360Robert Price01/2014
1422(112*10^153025-1)/3153027Serge Batalov12/2014
14232^508174-1855151152976Enzo Doria09/2015
1424181^67757-2152974Lelio R Paula12/2017
14252^508160-1864829152972Enzo Doria01/2016
14262^507857-1848199152881Enzo Doria07/2015
14272^507638-115361152815Enzo Doria07/2015
14282^507551-114025152789Enzo Doria11/2014
1429(6^196337+1)/7152780Paul Bourdelais02/2010
1430(22*10^152670-13)/9152671Robert Price06/2018
14312^506451-22339152457Enzo Doria07/2013
14322^505995-113185152320Enzo Doria07/2014
1433(4*10^152253+149)/9152253Robert Price04/2018
1434578^55117-577^55117152230Jean-Louis Charton08/2012
14352^505431-505431152150Henri Lifchitz04/2005
14362^505053+73097152037Enzo Doria04/2016
1437(2^504793-7)/46765151954Lelio R Paula12/2017
1438350377#+797581151937Nicolas PALAU08/2017
14392^504618-343991151906Enzo Doria07/2015
14402^504212-461939151783Enzo Doria07/2015
14412^504054-2231151736Yves Minet10/2011
14422^503361-39883151527Enzo Doria09/2015
14432^503225+382667151486Enzo Doria10/2016
1444(26*10^151391-503)/9151392Robert Price07/2018
14452^502769+1877567151349Enzo Doria08/2016
14462^502576-4019151291Yves Minet10/2011
14472^502290-2792501151205Enzo Doria02/2016
14482^502181+1868417151172Enzo Doria04/2016
14492^501781-1850503151052Enzo Doria08/2015
1450(5*10^151007+37)/3151008Robert Price03/2018
14512^501627-991151005Yves Minet02/2014
14522^501577-115333150990Enzo Doria07/2015
14538*10^150975+3150976Robert Price08/2015
14542^501512-113669150971Enzo Doria09/2014
1455(12^139739+1)/13150803Paul Bourdelais09/2011
1456(31^101111-1)/30150792Alexander Zhirkov11/2010
14572^500899-500899150786Henri Lifchitz04/2005
14582^500832+1876801150766Enzo Doria07/2016
1459(23*10^150763-59)/9150764Robert Price05/2018
14602^500699+1884953150726Enzo Doria02/2017
1461(13*10^150675-37)/3150676Robert Price01/2019
1462(2^500527+lucasV(1,2,500527)+1)/4150674Mike Oakes11/2016
14632^500337-71101150617Enzo Doria04/2016
14644*10^150577+91150578Robert Price08/2018
14652^500160+80071150564Enzo Doria06/2016
1466(2^500120+5)/9150551Lelio R Paula12/2017
1467(43*10^150515-421)/9150516Robert Price01/2019
1469(10^150551-1)/9/385207015049/57498437921/7808738631274081150512Maksym Voznyy08/2014
1468(10^150551-1)/1556587827131683185788921941743157225041150512Robert Price07/2016
14702^499861-29503150474Enzo Doria08/2015
14712^499653-113533150411Enzo Doria08/2014
14722^499534-221150375Yves Minet06/2012
14732^499225+49727150282Enzo Doria09/2016
14742^499054-29261150231Enzo Doria07/2015
1475(2^498898-7)/9150183Lelio R Paula10/2015
14763*10^150182+17150183Robert Price07/2018
14772^498623+1866983150101Enzo Doria03/2016
1478numbpart(18140942830)150033Serge Batalov04/2017
147910^150029+4381150030Patrick De Geest05/2016
148010^150029-41150029Serge Batalov12/2014
148110^150000+1158603150001Patrick De Geest09/2018
148210^150000-245703150000Patrick De Geest09/2018
1483(38*10^149999+691)/9150000Robert Price10/2018
14842^498238-53149985Lelio R Paula12/2017
14852^497850+81049149868Enzo Doria07/2016
1486(5*2^497673+1)/2743149812Lelio R Paula10/2015
1487(5*2^497671+1)/373703149810Lelio R Paula10/2015
1488(2*10^149803-143)/3149803Robert Price03/2018
14892^497434-2784191149743Enzo Doria10/2015
14902^497068-113579149633Enzo Doria08/2014
14912^497037+73727149624Enzo Doria04/2016
14922^496773+77747149544Enzo Doria05/2016
14932^496477-113485149455Enzo Doria08/2014
14942^496270-49451149393Enzo Doria10/2015
14952^496238-1865081149383Enzo Doria01/2016
14962^495968-1853699149302Enzo Doria09/2015
14972^495935-4117149292Yves Minet02/2018
14982^495712-396765149225Enzo Doria07/2013
1499(21*2^495676-1)/4835149211Lelio R Paula10/2015
15002^495420+1880701149137Enzo Doria10/2016


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: February, 14 2019 10:37 (Time in France)

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