PRP Records

Probable Primes Top 10000

(224660 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 ?
12512^530406-69701159669Enzo Doria02/2016
12527^188858-188858^7159604Norbert Schneider05/2018
1253(24^115597-1)/23159547Paul Bourdelais09/2017
1254(17*10^159438-377)/9159439Robert Price03/2018
12552^528944-461315159229Enzo Doria07/2015
12562^528620-113879159131Enzo Doria10/2014
12572^528000-23307158944Enzo Doria08/2013
1258(29*10^158909+61)/9158910Robert Price08/2018
12592^527817+1876817158889Enzo Doria07/2016
12602^527774-49451158876Enzo Doria10/2015
12612^527745-291553158868Enzo Doria07/2015
12622^527644-1856999158837Enzo Doria10/2015
1263(37200^37199-37198^37199)/(2^37199)158822Henri Lifchitz06/2013
12642^527573-1863253158816Enzo Doria12/2015
12652^527553-23401158810Enzo Doria08/2013
126611^152420-210158730Enzo Doria09/2012
1267(13*10^158694+401)/9158695Robert Price01/2018
12682^527052-69059158659Enzo Doria11/2015
12692^526849-113233158598Enzo Doria07/2014
1270(2^526763-lucasV(1,2,526763)+1)/2158572Mike Oakes11/2016
12712^526658-3551158540Yves Minet03/2017
12722^526375-23115158455Enzo Doria08/2013
12732^526028-112793158351Enzo Doria07/2014
12742^525690-9221158249Lelio R Paula01/2013
12752*10^158242-7158243Robert Price10/2015
12762^525667-525667^2158242Henri Lifchitz12/2017
12772^525186-1857431158097Enzo Doria10/2015
12782^524515-23245157895Enzo Doria08/2013
12792^524499-109087157890Enzo Doria04/2014
12802^18067*(2^506221+1)-1157827Makoto Morimoto05/2014
12812^524288+189093157827Makoto Morimoto01/2016
1282(2^(2^19)-9333)/(19*23*463*1213*31973)157814Makoto Morimoto09/2017
1283(10^157792+359)/9157792Serge Batalov12/2014
12842^523924+1876591157717Enzo Doria07/2016
1285(46^94841+1)/47157696Robert Price01/2014
12862^523774+77839157672Enzo Doria05/2016
12872^523587+2799143157616Enzo Doria04/2016
12882^523371+1872113157551Enzo Doria05/2016
12892^522535-351457157299Enzo Doria07/2015
12902^522226+2799079157206Enzo Doria04/2016
12912^522134-1849451157178Enzo Doria08/2015
12924*10^157150+93157151Robert Price08/2018
12932^521401-29593156958Enzo Doria08/2015
12942^521348-23397156942Enzo Doria08/2013
1295(98^78797+1)/99156901Paul Bourdelais12/2017
129665^86522+64156857Lelio R Paula04/2016
12978^173687-7^173687156855Jean-Louis Charton09/2004
12982^520977-1858183156830Enzo Doria10/2015
1299(8*10^156718-101)/3156719Robert Price08/2018
13002^520314-1849481156631Enzo Doria08/2015
1301(13*10^156522+89)/3156523Robert Price09/2018
1302(2^(6*86654+1)-5)/3156513Kevin Acres12/2013
13033*10^156435-97156436Robert Price07/2018
1304(8*10^156371-77)/3156372Robert Price07/2018
130553^90679-52^90679156356Robert Price01/2013
13062^519106-59141156267Enzo Doria10/2015
13072^519053+6077156251Enzo Doria02/2016
13082^518968-1860989156225Enzo Doria11/2015
1309(25*10^156221-7)/9156222Robert Price05/2018
13102^518931-2782297156214Enzo Doria09/2015
13112^518608-2939156117Yves Minet09/2014
131210*27^109005+697156027Curtis Bright05/2015
13132^517967-113485155924Enzo Doria08/2014
13142^517698+4429155843Lelio R Paula01/2013
13152^517543-113257155796Enzo Doria07/2014
131631^104309-30^104309155563Henri Lifchitz08/2013
13172^516742-39851155555Enzo Doria09/2015
13182^516440+1878421155464Enzo Doria08/2016
13192^515863-1867237155291Enzo Doria03/2016
13202^515786-461861155268Enzo Doria07/2015
13212^515644-113247155225Enzo Doria07/2014
1322(7*10^155203+107)/3155204Robert Price02/2018
1323(17*10^155133-89)/9155134Robert Price07/2018
13242^515227-114997155099Enzo Doria06/2015
1326EPrime(155025)155025Eric W. Weisstein10/2010
1325(14*10^155024-221)/9155025Robert Price04/2018
1327(4*10^155022+173)/3155023Robert Price02/2018
1328(115*10^154869-1)/3154871Serge Batalov12/2014
13292^514361+78167154839Enzo Doria05/2016
13302^514281-115033154815Enzo Doria06/2015
13312^514194-3311154788Yves Minet12/2014
13322^513437+1879337154560Enzo Doria09/2016
13332^513306-113201154521Enzo Doria07/2014
1334(10^154494-13)/3154494Robert Price12/2017
13352^513042-113787154442Enzo Doria09/2014
13362^512628-114053154317Enzo Doria11/2014
13372^512529-49783154287Enzo Doria10/2015
13382^512315-115297154223Enzo Doria06/2015
13392^512168+79561154178Enzo Doria06/2016
13404*10^154078-57154079Robert Price10/2018
13412^511658-114371154025Enzo Doria02/2015
1342(57^87719+1)/58154022Paul Bourdelais11/2017
13432^511580-1846679154001Enzo Doria07/2015
13442^511541-113713153990Enzo Doria09/2014
13452^511077-112723153850Enzo Doria06/2014
134669^83653-68^83653153826Robert Price12/2013
13472^510963-113707153816Enzo Doria09/2014
1348(154*10^153810-1)/9153812Serge Batalov12/2014
1349(181*25^109991-75077)/8153763Curtis Bright05/2015
13502*10^153746-3153747Robert Price07/2015
13512^510626+1179379153714Enzo Doria05/2016
1352(7*10^153664+113)/3153665Robert Price02/2018
13532^510420+81121153652Enzo Doria07/2016
1354(197*7^181761-1)/2153608Karsten Bonath05/2017
13552^509894-459161153494Enzo Doria05/2015
13562^509841+71657153478Enzo Doria04/2016
13572^509533-1846723153385Enzo Doria07/2015
13582^509468-39989153366Enzo Doria09/2015
135970^83117-69^83117153360Robert Price01/2014
1360(112*10^153025-1)/3153027Serge Batalov12/2014
13612^508174-1855151152976Enzo Doria09/2015
1362181^67757-2152974Lelio R Paula12/2017
13632^508160-1864829152972Enzo Doria01/2016
13642^507857-1848199152881Enzo Doria07/2015
13652^507638-115361152815Enzo Doria07/2015
13662^507551-114025152789Enzo Doria11/2014
1367(6^196337+1)/7152780Paul Bourdelais02/2010
1368(22*10^152670-13)/9152671Robert Price06/2018
13692^506451-22339152457Enzo Doria07/2013
13702^505995-113185152320Enzo Doria07/2014
1371(4*10^152253+149)/9152253Robert Price04/2018
1372578^55117-577^55117152230Jean-Louis Charton08/2012
13732^505431-505431152150Henri Lifchitz04/2005
13742^505053+73097152037Enzo Doria04/2016
1375(2^504793-7)/46765151954Lelio R Paula12/2017
1376350377#+797581151937Nicolas PALAU08/2017
13772^504618-343991151906Enzo Doria07/2015
13782^504212-461939151783Enzo Doria07/2015
13792^504054-2231151736Yves Minet10/2011
13802^503361-39883151527Enzo Doria09/2015
13812^503225+382667151486Enzo Doria10/2016
1382(26*10^151391-503)/9151392Robert Price07/2018
13832^502769+1877567151349Enzo Doria08/2016
13842^502576-4019151291Yves Minet10/2011
13852^502290-2792501151205Enzo Doria02/2016
13862^502181+1868417151172Enzo Doria04/2016
13872^501781-1850503151052Enzo Doria08/2015
1388(5*10^151007+37)/3151008Robert Price03/2018
13892^501627-991151005Yves Minet02/2014
13902^501577-115333150990Enzo Doria07/2015
13918*10^150975+3150976Robert Price08/2015
13922^501512-113669150971Enzo Doria09/2014
1393(12^139739+1)/13150803Paul Bourdelais09/2011
1394(31^101111-1)/30150792Alexander Zhirkov11/2010
13952^500899-500899150786Henri Lifchitz04/2005
13962^500832+1876801150766Enzo Doria07/2016
1397(23*10^150763-59)/9150764Robert Price05/2018
13982^500699+1884953150726Enzo Doria02/2017
1399(2^500527+lucasV(1,2,500527)+1)/4150674Mike Oakes11/2016
14002^500337-71101150617Enzo Doria04/2016
14014*10^150577+91150578Robert Price08/2018
14022^500160+80071150564Enzo Doria06/2016
1403(2^500120+5)/9150551Lelio R Paula12/2017
1405(10^150551-1)/9/385207015049/57498437921/7808738631274081150512Maksym Voznyy08/2014
1404(10^150551-1)/1556587827131683185788921941743157225041150512Robert Price07/2016
14062^499861-29503150474Enzo Doria08/2015
14072^499653-113533150411Enzo Doria08/2014
14082^499534-221150375Yves Minet06/2012
14092^499225+49727150282Enzo Doria09/2016
14102^499054-29261150231Enzo Doria07/2015
1411(2^498898-7)/9150183Lelio R Paula10/2015
14123*10^150182+17150183Robert Price07/2018
14132^498623+1866983150101Enzo Doria03/2016
1414numbpart(18140942830)150033Serge Batalov04/2017
141510^150029+4381150030Patrick De Geest05/2016
141610^150029-41150029Serge Batalov12/2014
141710^150000+1158603150001Patrick De Geest09/2018
141810^150000-245703150000Patrick De Geest09/2018
14192^498238-53149985Lelio R Paula12/2017
14202^497850+81049149868Enzo Doria07/2016
1421(5*2^497673+1)/2743149812Lelio R Paula10/2015
1422(5*2^497671+1)/373703149810Lelio R Paula10/2015
1423(2*10^149803-143)/3149803Robert Price03/2018
14242^497434-2784191149743Enzo Doria10/2015
14252^497068-113579149633Enzo Doria08/2014
14262^497037+73727149624Enzo Doria04/2016
14272^496773+77747149544Enzo Doria05/2016
14282^496477-113485149455Enzo Doria08/2014
14292^496270-49451149393Enzo Doria10/2015
14302^496238-1865081149383Enzo Doria01/2016
14312^495968-1853699149302Enzo Doria09/2015
14322^495935-4117149292Yves Minet02/2018
14332^495712-396765149225Enzo Doria07/2013
1434(21*2^495676-1)/4835149211Lelio R Paula10/2015
14352^495420+1880701149137Enzo Doria10/2016
14362^495337-1847293149112Enzo Doria07/2015
1437(2^495193-7)/5149068Lelio R Paula10/2015
1438413^56963-412^56963149013Jean-Louis Charton08/2012
143947^89113-46^89113149006Robert Price10/2012
14402^494916+87855148985Lelio R Paula01/2016
14412^494586-2791991148886Enzo Doria02/2016
14428*10^148860-3148861Ray Chandler04/2011
14432^494333-286183148810Enzo Doria06/2015
14442^494144-264119148753Enzo Doria05/2014
1445(5*2^493838-1)/3721148658Lelio R Paula10/2015
1446(23*2^493761-1)/555148636Lelio R Paula10/2015
14472^493636+82081148600Enzo Doria09/2016
1448((((((((((((((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
1449177487#+(519643#)/(177487#)148558Makoto Morimoto11/2017
1450(2*10^148460-23)/3148460Robert Price04/2018
1451(8*10^148328+1)/9148328Serge Batalov05/2010
14525^211959-12874148153Enzo Doria05/2014
1453187^65175-2148068Lelio R Paula11/2017
14542^491851+1871453148062Enzo Doria05/2016
14552^491521-1865323147963Enzo Doria02/2016
1456(2^491476+7)/71147948Lelio R Paula10/2015
14572^491391-7807147924Lelio R Paula01/2013
14582^491370-113297147918Enzo Doria07/2014
1459(32760^32760+32759^32759)/95546586737133567708319147900Robert Price07/2016
14602^490660-17147704Lelio R Paula12/2017
14612^490550+1179439147671Enzo Doria06/2016
1462(23*10^147649-59)/9147650Robert Price05/2018
14632^490303+2793653147596Enzo Doria03/2016
1464199^64181-2147543Lelio R Paula11/2017
14652^489871-286987147466Enzo Doria07/2015
14662^489864-351899147464Enzo Doria07/2015
1467175^65724-2147422Lelio R Paula11/2017
14682^489712+1874851147419Enzo Doria06/2016
146963^81896-2147359Lelio R Paula10/2017
1470(11*10^147313-107)/3147314Robert Price09/2018
14712^489305-59815147296Enzo Doria10/2015
1472(2^489280-7)/6381147285Lelio R Paula09/2015
14732^489125+80357147242Enzo Doria06/2016
14742^488648-112799147098Enzo Doria07/2014
14752^488627-350317147092Enzo Doria06/2015
1476(2^488441-1)/(61543567*30051203516986199)147012Dario Alpern12/2014
14772^488280-2165146987Yves Minet07/2014
14782^488278+45146987Lelio R Paula12/2017
14792^487927-39146881Lelio R Paula12/2017
1480(7*10^146860-13)/3146861Robert Price07/2018
14812^487726-1863341146821Enzo Doria12/2015
14822^487121-39523146639Enzo Doria09/2015
1483(7*2^486967+1)/39146591Lelio R Paula09/2015
14842^486893-79146570Yves Minet09/2017
14852^486840+1879141146554Enzo Doria08/2016
14862^486774-87146534Lelio R Paula12/2017
148796^73877-95^73877146445Robert Price10/2015
1488(52^85259+1)/53146304Paul Bourdelais09/2017
1489179^64935+2146290Lelio R Paula10/2017
14902^485531-114621146160Enzo Doria05/2015
1491(2^485461-9)/4249146135Lelio R Paula09/2015
14922^485389+81887146117Enzo Doria08/2016
1493(10^146063+71)/9146063Serge Batalov07/2015
1494(2^485119+7)/2745146032Lelio R Paula09/2015
1495(22*10^146029+257)/9146030Robert Price06/2018
14962^484743+1872923145923Enzo Doria05/2016
14972^484341+1879157145802Enzo Doria08/2016
14982^484271-51145781Lelio R Paula11/2017
149970^78989-69^78989145743Robert Price01/2014
150051^85334+2145714Robert Price07/2015


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: October, 15 2018 21:33 (Time in France)

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