PRP Records

Probable Primes Top 10000

(252932 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 ?
12512^553484-29819166616Enzo Doria08/2015
12522^553383-2784217166585Enzo Doria10/2015
12532^553069+76427166491Enzo Doria05/2016
12542*10^166458+51166459Robert Price05/2018
1255589^60089-588^60089166454Jean-Louis Charton09/2012
125611^159756-2424166369Mike Oakes06/2010
12572^552649-361275166364Enzo Doria05/2014
12582^552628-113669166358Enzo Doria09/2014
125910^166324+550603166325Patrick De Geest07/2018
126010^166324-801166324Robert Price02/2018
12612^552137+1879397166210Enzo Doria09/2016
1262(23^121949-1)/22166061Paul Bourdelais10/2017
12632^551542+19249166031Payam Samidoost08/2002
12642^551535-23821166029Enzo Doria08/2013
12652^551507-23557166021Enzo Doria08/2013
12667*10^165916-3165917Robert Price08/2015
126781^86837-80^86837165728Robert Price01/2015
12682^550270-69551165648Enzo Doria12/2015
12692^550000-23625165567Enzo Doria08/2013
12702^549675-1852057165469Enzo Doria08/2015
1271-tau(103^14938)165374Nik Lygeros / Olivier Rozier10/2013
1272(28*10^165358-1)/9165359Serge Batalov10/2014
12732^549278+1879669165350Enzo Doria09/2016
1274(7*10^165350-439)/9165350Robert Price02/2018
12752^549252-351269165342Enzo Doria06/2015
1276(14*10^165282+73)/3165283Robert Price12/2018
12772^549049+2797607165281Enzo Doria04/2016
1278(7*10^165239+107)/3165240Robert Price02/2018
1279(44^100511-1)/43165184Paul Bourdelais11/2017
1280(7*10^165134+107)/3165135Robert Price02/2018
12812^547178-1856501164717Enzo Doria10/2015
128211^158160-60164707Enzo Doria07/2012
12832^546398-59201164483Enzo Doria10/2015
12842^546332-114893164463Enzo Doria05/2015
12852^545958+1876189164350Enzo Doria07/2016
12862^545878-49841164326Enzo Doria10/2015
1287(10^164284+77)/3164284Robert Price01/2018
12882^545668-4019164263Yves Minet04/2017
1289(13*53^238539*617^9)/10^247183164151Hans Havermann07/2017
1290(16*10^164122+197)/3164123Robert Price04/2019
12912^545185+76757164118Enzo Doria05/2016
12922^545076-114329164085Enzo Doria01/2015
1293(2*10^164043-143)/3164043Robert Price03/2018
1294(29^112153+1)/30164011Lelio R Paula03/2017
12952^544757+1874777163989Enzo Doria06/2016
12962^544444-457199163894Enzo Doria01/2015
12972^544264-343529163840Enzo Doria07/2015
12987*10^163780+9163781Robert Price09/2015
12992^543989+2793047163758Enzo Doria02/2016
13002^542870-69551163421Enzo Doria12/2015
13012^542395+72533163278Enzo Doria04/2016
13022^542072-3683163180Yves Minet03/2017
13032^541779-1867357163092Enzo Doria04/2016
13048*10^162924+9162925Robert Price12/2015
13052^540905+81557162829Enzo Doria08/2016
13062^540628-2939162746Yves Minet09/2014
1307919^54919-918^54919162743Jean-Louis Charton01/2013
13083*10^162620-59162621Robert Price09/2018
13093^340694-112960162553Enzo Doria07/2014
13102^539807-114081162499Enzo Doria12/2014
13112^539654-114893162453Enzo Doria05/2015
13122^539617-1851583162441Enzo Doria08/2015
13132^539346+81049162360Enzo Doria07/2016
13142^539220-115499162322Enzo Doria07/2015
13152^539217-113713162321Enzo Doria09/2014
13169^170099-8^170099162316Jean-Louis Charton05/2005
1317(115*10^162153-1)/3162155Serge Batalov12/2014
1318(10^162138+11)/3162138Serge Batalov07/2015
13192^538473-112723162097Enzo Doria06/2014
13202^538157+79337162002Enzo Doria06/2016
13212^538136-114749161996Enzo Doria05/2015
13222^538104+1531161986Lelio R Paula01/2013
1323(9*29^110727-1199)/14161927Curtis Bright05/2015
13242^537815-22737161899Enzo Doria07/2013
13252^537804-39839161896Enzo Doria09/2015
13262^537458-59201161791Enzo Doria10/2015
13272*10^161766+51161767Robert Price05/2018
13282^537209-49849161717Enzo Doria10/2015
1329(58*10^161691+329)/9161692Robert Price05/2019
13302^536937+1879397161635Enzo Doria09/2016
13312^536569-22881161524Enzo Doria07/2013
133210^161253+573493161254Patrick De Geest07/2018
133310^161253-8001161253Robert Price03/2018
13347*10^161192-9161193Robert Price10/2015
13352^535269-113803161133Enzo Doria09/2014
13362^535205-23295161113Enzo Doria08/2013
1337(89^82609+1)/90161036Paul Bourdelais10/2017
13382^534359-23229160859Enzo Doria08/2013
133967^88037-66^88037160763Robert Price10/2013
13402^533948-1852559160735Enzo Doria08/2015
13412^533665-23335160650Enzo Doria08/2013
1342(19*10^160619+77)/3160620Robert Price05/2019
13433^336353-2^336353160482Mike Oakes10/2007
13442^532253+1868417160225Enzo Doria04/2016
13452^532108-291989160181Enzo Doria07/2015
1346(17*10^160143+67)/3160144Robert Price01/2019
1347(19*10^159921-49)/3159922Robert Price05/2019
13482^531110-1853771159881Enzo Doria09/2015
13492^530992-1845299159845Enzo Doria07/2015
1350(136*10^159736-1)/9159738Serge Batalov12/2014
13512^530417-113833159672Enzo Doria09/2014
13522^530406-69701159669Enzo Doria02/2016
13535*10^159656+41159657Robert Price03/2019
13547^188858-188858^7159604Norbert Schneider05/2018
1355(24^115597-1)/23159547Paul Bourdelais09/2017
1356(17*10^159438-377)/9159439Robert Price03/2018
13572^528944-461315159229Enzo Doria07/2015
1358(13*10^159147+161)/3159148Robert Price11/2018
13592^528620-113879159131Enzo Doria10/2014
13602^528000-23307158944Enzo Doria08/2013
1361(29*10^158909+61)/9158910Robert Price08/2018
13622^527817+1876817158889Enzo Doria07/2016
13632^527774-49451158876Enzo Doria10/2015
13642^527745-291553158868Enzo Doria07/2015
13652^527644-1856999158837Enzo Doria10/2015
1366(37200^37199-37198^37199)/(2^37199)158822Henri Lifchitz06/2013
13672^527573-1863253158816Enzo Doria12/2015
13682^527553-23401158810Enzo Doria08/2013
136911^152420-210158730Enzo Doria09/2012
1370(13*10^158694+401)/9158695Robert Price01/2018
13712^527052-69059158659Enzo Doria11/2015
13722^526849-113233158598Enzo Doria07/2014
1373(2^526763-lucasV(1,2,526763)+1)/2158572Mike Oakes11/2016
13742^526658-3551158540Yves Minet03/2017
13752^526375-23115158455Enzo Doria08/2013
13762^526028-112793158351Enzo Doria07/2014
13772^525690-9221158249Lelio R Paula01/2013
13782*10^158242-7158243Robert Price10/2015
13792^525667-525667^2158242Henri Lifchitz12/2017
13802^525186-1857431158097Enzo Doria10/2015
13812^524515-23245157895Enzo Doria08/2013
13822^524499-109087157890Enzo Doria04/2014
13832^18067*(2^506221+1)-1157827Makoto Morimoto05/2014
13842^524288+189093157827Makoto Morimoto01/2016
1385(2^(2^19)-9333)/(19*23*463*1213*31973)157814Makoto Morimoto09/2017
1386(10^157792+359)/9157792Serge Batalov12/2014
13872^523924+1876591157717Enzo Doria07/2016
1388(17*10^157705+67)/3157706Robert Price01/2019
1389(46^94841+1)/47157696Robert Price01/2014
13902^523774+77839157672Enzo Doria05/2016
13912^523587+2799143157616Enzo Doria04/2016
13922^523371+1872113157551Enzo Doria05/2016
13932^522535-351457157299Enzo Doria07/2015
13942^522226+2799079157206Enzo Doria04/2016
13952^522134-1849451157178Enzo Doria08/2015
13964*10^157150+93157151Robert Price08/2018
13972^521401-29593156958Enzo Doria08/2015
13982^521348-23397156942Enzo Doria08/2013
1399(98^78797+1)/99156901Paul Bourdelais12/2017
140065^86522+64156857Lelio R Paula04/2016
14018^173687-7^173687156855Jean-Louis Charton09/2004
14022^520977-1858183156830Enzo Doria10/2015
1403(8*10^156718-101)/3156719Robert Price08/2018
14042^520314-1849481156631Enzo Doria08/2015
1405(13*10^156522+89)/3156523Robert Price09/2018
1406(2^(6*86654+1)-5)/3156513Kevin Acres12/2013
14073*10^156435-97156436Robert Price07/2018
1408(8*10^156371-77)/3156372Robert Price07/2018
140953^90679-52^90679156356Robert Price01/2013
14102^519106-59141156267Enzo Doria10/2015
14112^519053+6077156251Enzo Doria02/2016
14122^518968-1860989156225Enzo Doria11/2015
1413(25*10^156221-7)/9156222Robert Price05/2018
14142^518931-2782297156214Enzo Doria09/2015
14152^518608-2939156117Yves Minet09/2014
141610*27^109005+697156027Curtis Bright05/2015
14172^517967-113485155924Enzo Doria08/2014
14182^517698+4429155843Lelio R Paula01/2013
14192^517543-113257155796Enzo Doria07/2014
1420(14*10^155740-143)/3155741Robert Price11/2018
142131^104309-30^104309155563Henri Lifchitz08/2013
14222^516742-39851155555Enzo Doria09/2015
14232^516440+1878421155464Enzo Doria08/2016
14242^515863-1867237155291Enzo Doria03/2016
14252^515786-461861155268Enzo Doria07/2015
14262^515644-113247155225Enzo Doria07/2014
1427(7*10^155203+107)/3155204Robert Price02/2018
1428(17*10^155133-89)/9155134Robert Price07/2018
14292^515227-114997155099Enzo Doria06/2015
1431EPrime(155025)155025Eric W. Weisstein10/2010
1430(14*10^155024-221)/9155025Robert Price04/2018
1432(4*10^155022+173)/3155023Robert Price02/2018
1433(115*10^154869-1)/3154871Serge Batalov12/2014
14342^514361+78167154839Enzo Doria05/2016
14352^514281-115033154815Enzo Doria06/2015
14362^514194-3311154788Yves Minet12/2014
1437(14*10^154773+37)/3154774Robert Price12/2018
14382^513437+1879337154560Enzo Doria09/2016
14392^513306-113201154521Enzo Doria07/2014
1440(10^154494-13)/3154494Robert Price12/2017
14412^513042-113787154442Enzo Doria09/2014
14422^512628-114053154317Enzo Doria11/2014
14432^512529-49783154287Enzo Doria10/2015
1444(355573#+6991)/(6991*2031599)154285Makoto Morimoto06/2019
14452^512315-115297154223Enzo Doria06/2015
14462^512168+79561154178Enzo Doria06/2016
14474*10^154078-57154079Robert Price10/2018
1448(355049#+1859)/(11*13*10148891*62587751)154051Makoto Morimoto06/2019
14492^511658-114371154025Enzo Doria02/2015
1450(57^87719+1)/58154022Paul Bourdelais11/2017
14512^511580-1846679154001Enzo Doria07/2015
14522^511541-113713153990Enzo Doria09/2014
14532^511077-112723153850Enzo Doria06/2014
145469^83653-68^83653153826Robert Price12/2013
14552^510963-113707153816Enzo Doria09/2014
1456(154*10^153810-1)/9153812Serge Batalov12/2014
1457(181*25^109991-75077)/8153763Curtis Bright05/2015
14582*10^153746-3153747Robert Price07/2015
14592^510626+1179379153714Enzo Doria05/2016
1460(7*10^153664+113)/3153665Robert Price02/2018
14612^510420+81121153652Enzo Doria07/2016
1462(197*7^181761-1)/2153608Karsten Bonath05/2017
14632^509894-459161153494Enzo Doria05/2015
14642^509841+71657153478Enzo Doria04/2016
14652^509533-1846723153385Enzo Doria07/2015
14662^509468-39989153366Enzo Doria09/2015
146770^83117-69^83117153360Robert Price01/2014
1468(112*10^153025-1)/3153027Serge Batalov12/2014
14692^508174-1855151152976Enzo Doria09/2015
1470181^67757-2152974Lelio R Paula12/2017
14712^508160-1864829152972Enzo Doria01/2016
14722^507857-1848199152881Enzo Doria07/2015
14732^507638-115361152815Enzo Doria07/2015
14742^507551-114025152789Enzo Doria11/2014
1475(6^196337+1)/7152780Paul Bourdelais02/2010
1476(22*10^152670-13)/9152671Robert Price06/2018
14772^506451-22339152457Enzo Doria07/2013
14782^505995-113185152320Enzo Doria07/2014
1479(4*10^152253+149)/9152253Robert Price04/2018
1480578^55117-577^55117152230Jean-Louis Charton08/2012
14812^505431-505431152150Henri Lifchitz04/2005
14822^505053+73097152037Enzo Doria04/2016
1483(2^504793-7)/46765151954Lelio R Paula12/2017
1484350377#+797581151937Nicolas PALAU08/2017
14852^504618-343991151906Enzo Doria07/2015
14862^504212-461939151783Enzo Doria07/2015
14872^504054-2231151736Yves Minet10/2011
14882^503361-39883151527Enzo Doria09/2015
14892^503225+382667151486Enzo Doria10/2016
1490(26*10^151391-503)/9151392Robert Price07/2018
14912^502769+1877567151349Enzo Doria08/2016
14922^502576-4019151291Yves Minet10/2011
14935*10^151257+41151258Robert Price03/2019
14942^502290-2792501151205Enzo Doria02/2016
14952^502181+1868417151172Enzo Doria04/2016
14962^501781-1850503151052Enzo Doria08/2015
1497(5*10^151007+37)/3151008Robert Price03/2018
14982^501627-991151005Yves Minet02/2014
14992^501577-115333150990Enzo Doria07/2015
15008*10^150975+3150976Robert Price08/2015


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: June, 18 2019 07:14 (Time in France)

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