PRP Records

Probable Primes Top 10000

(253466 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 ?
12512^560405-39943168699Enzo Doria09/2015
1252(23*10^168608-83)/3168609Robert Price08/2019
12532^559686-350471168483Enzo Doria06/2015
12542^559672-1855889168479Enzo Doria09/2015
1255(5*10^168379-473)/9168379Robert Price01/2018
12562^559000-59939168276Enzo Doria11/2015
1257(16*10^168181+41)/3168182Robert Price03/2019
1258(19*10^168173+77)/3168174Robert Price05/2019
12592^558640-114149168168Enzo Doria12/2014
12602^558498-1849277168125Enzo Doria08/2015
12612^558476-1850249168119Enzo Doria08/2015
1262(7*10^168067+71)/3168068Robert Price05/2018
12632^558150-1852211168020Enzo Doria08/2015
12642^558125-113661168013Enzo Doria09/2014
1265393^64747-392^64747167980Jean-Louis Charton08/2012
1266(13*10^167911+179)/3167912Robert Price11/2018
126739^105456+2167788Robert Price04/2015
1268(28^115877-1)/27167691Paul Bourdelais12/2017
126910^167639+121911167640Patrick De Geest07/2018
127010^167639-8001167639Robert Price03/2018
12712^556504-462059167525Enzo Doria07/2015
12725*10^167510+9167511Robert Price08/2015
12732^555343+1874333167175Enzo Doria06/2016
12742^555210-461261167135Enzo Doria07/2015
12752^554372+1880527166883Enzo Doria11/2016
12762^554299+72173166861Enzo Doria04/2016
12772^554037-2797063166782Enzo Doria03/2016
1278(49*10^166721-139)/9166722Robert Price03/2019
12792^553484-29819166616Enzo Doria08/2015
12802^553383-2784217166585Enzo Doria10/2015
12812^553069+76427166491Enzo Doria05/2016
12822*10^166458+51166459Robert Price05/2018
1283589^60089-588^60089166454Jean-Louis Charton09/2012
128411^159756-2424166369Mike Oakes06/2010
12852^552649-361275166364Enzo Doria05/2014
12862^552628-113669166358Enzo Doria09/2014
128710^166324+550603166325Patrick De Geest07/2018
128810^166324-801166324Robert Price02/2018
12892^552137+1879397166210Enzo Doria09/2016
1290(23^121949-1)/22166061Paul Bourdelais10/2017
12912^551542+19249166031Payam Samidoost08/2002
12922^551535-23821166029Enzo Doria08/2013
12932^551507-23557166021Enzo Doria08/2013
12947*10^165916-3165917Robert Price08/2015
129581^86837-80^86837165728Robert Price01/2015
1296(71*10^165663-539)/9165664Robert Price07/2019
12972^550270-69551165648Enzo Doria12/2015
12982^550000-23625165567Enzo Doria08/2013
12992^549675-1852057165469Enzo Doria08/2015
1300-tau(103^14938)165374Nik Lygeros / Olivier Rozier10/2013
1301(28*10^165358-1)/9165359Serge Batalov10/2014
13022^549278+1879669165350Enzo Doria09/2016
1303(7*10^165350-439)/9165350Robert Price02/2018
13042^549252-351269165342Enzo Doria06/2015
1305(14*10^165282+73)/3165283Robert Price12/2018
13062^549049+2797607165281Enzo Doria04/2016
1307(7*10^165239+107)/3165240Robert Price02/2018
1308(44^100511-1)/43165184Paul Bourdelais11/2017
1309(7*10^165134+107)/3165135Robert Price02/2018
1310(23*10^165060-83)/3165061Robert Price08/2019
13112^547178-1856501164717Enzo Doria10/2015
131211^158160-60164707Enzo Doria07/2012
13132^546398-59201164483Enzo Doria10/2015
13142^546332-114893164463Enzo Doria05/2015
13152^545958+1876189164350Enzo Doria07/2016
13162^545878-49841164326Enzo Doria10/2015
1317(10^164284+77)/3164284Robert Price01/2018
13182^545668-4019164263Yves Minet04/2017
1319(13*53^238539*617^9)/10^247183164151Hans Havermann07/2017
1320(16*10^164122+197)/3164123Robert Price04/2019
13212^545185+76757164118Enzo Doria05/2016
13222^545076-114329164085Enzo Doria01/2015
1323(2*10^164043-143)/3164043Robert Price03/2018
1324(29^112153+1)/30164011Lelio R Paula03/2017
13252^544757+1874777163989Enzo Doria06/2016
13262^544444-457199163894Enzo Doria01/2015
13272^544264-343529163840Enzo Doria07/2015
13287*10^163780+9163781Robert Price09/2015
13292^543989+2793047163758Enzo Doria02/2016
13302^542870-69551163421Enzo Doria12/2015
13312^542395+72533163278Enzo Doria04/2016
13322^542072-3683163180Yves Minet03/2017
13332^541779-1867357163092Enzo Doria04/2016
13348*10^162924+9162925Robert Price12/2015
13352^540905+81557162829Enzo Doria08/2016
13362^540628-2939162746Yves Minet09/2014
1337919^54919-918^54919162743Jean-Louis Charton01/2013
13383*10^162620-59162621Robert Price09/2018
13393^340694-112960162553Enzo Doria07/2014
13402^539807-114081162499Enzo Doria12/2014
13412^539654-114893162453Enzo Doria05/2015
13422^539617-1851583162441Enzo Doria08/2015
13432^539346+81049162360Enzo Doria07/2016
13442^539220-115499162322Enzo Doria07/2015
13452^539217-113713162321Enzo Doria09/2014
13469^170099-8^170099162316Jean-Louis Charton05/2005
1347(115*10^162153-1)/3162155Serge Batalov12/2014
1348(10^162138+11)/3162138Serge Batalov07/2015
13492^538473-112723162097Enzo Doria06/2014
13502^538157+79337162002Enzo Doria06/2016
13512^538136-114749161996Enzo Doria05/2015
13522^538104+1531161986Lelio R Paula01/2013
1353(9*29^110727-1199)/14161927Curtis Bright05/2015
13542^537815-22737161899Enzo Doria07/2013
13552^537804-39839161896Enzo Doria09/2015
13562^537458-59201161791Enzo Doria10/2015
13572*10^161766+51161767Robert Price05/2018
13582^537209-49849161717Enzo Doria10/2015
1359(58*10^161691+329)/9161692Robert Price05/2019
13602^536937+1879397161635Enzo Doria09/2016
13612^536569-22881161524Enzo Doria07/2013
136210^161253+573493161254Patrick De Geest07/2018
136310^161253-8001161253Robert Price03/2018
13647*10^161192-9161193Robert Price10/2015
13652^535269-113803161133Enzo Doria09/2014
13662^535205-23295161113Enzo Doria08/2013
1367(89^82609+1)/90161036Paul Bourdelais10/2017
13682^534359-23229160859Enzo Doria08/2013
136967^88037-66^88037160763Robert Price10/2013
13702^533948-1852559160735Enzo Doria08/2015
13712^533665-23335160650Enzo Doria08/2013
1372(19*10^160619+77)/3160620Robert Price05/2019
13733^336353-2^336353160482Mike Oakes10/2007
13742^532253+1868417160225Enzo Doria04/2016
13752^532108-291989160181Enzo Doria07/2015
1376(17*10^160143+67)/3160144Robert Price01/2019
1377(19*10^159921-49)/3159922Robert Price05/2019
13782^531110-1853771159881Enzo Doria09/2015
13792^530992-1845299159845Enzo Doria07/2015
1380(136*10^159736-1)/9159738Serge Batalov12/2014
13812^530417-113833159672Enzo Doria09/2014
13822^530406-69701159669Enzo Doria02/2016
13835*10^159656+41159657Robert Price03/2019
13847^188858-188858^7159604Norbert Schneider05/2018
1385(24^115597-1)/23159547Paul Bourdelais09/2017
1386(17*10^159438-377)/9159439Robert Price03/2018
13872^528944-461315159229Enzo Doria07/2015
1388(13*10^159147+161)/3159148Robert Price11/2018
13892^528620-113879159131Enzo Doria10/2014
13902^528000-23307158944Enzo Doria08/2013
1391(29*10^158909+61)/9158910Robert Price08/2018
13922^527817+1876817158889Enzo Doria07/2016
13932^527774-49451158876Enzo Doria10/2015
13942^527745-291553158868Enzo Doria07/2015
13952^527644-1856999158837Enzo Doria10/2015
1396(37200^37199-37198^37199)/(2^37199)158822Henri Lifchitz06/2013
13972^527573-1863253158816Enzo Doria12/2015
13982^527553-23401158810Enzo Doria08/2013
139911^152420-210158730Enzo Doria09/2012
1400(13*10^158694+401)/9158695Robert Price01/2018
14012^527052-69059158659Enzo Doria11/2015
14022^526849-113233158598Enzo Doria07/2014
1403(2^526763-lucasV(1,2,526763)+1)/2158572Mike Oakes11/2016
14042^526658-3551158540Yves Minet03/2017
14057*10^158465-11158466Robert Price06/2019
14062^526375-23115158455Enzo Doria08/2013
14072^526028-112793158351Enzo Doria07/2014
14082^525690-9221158249Lelio R Paula01/2013
14092*10^158242-7158243Robert Price10/2015
14102^525667-525667^2158242Henri Lifchitz12/2017
14112^525186-1857431158097Enzo Doria10/2015
14122^524515-23245157895Enzo Doria08/2013
14132^524499-109087157890Enzo Doria04/2014
14142^18067*(2^506221+1)-1157827Makoto Morimoto05/2014
14152^524288+189093157827Makoto Morimoto01/2016
1416(2^(2^19)-9333)/(19*23*463*1213*31973)157814Makoto Morimoto09/2017
1417(10^157792+359)/9157792Serge Batalov12/2014
14182^523924+1876591157717Enzo Doria07/2016
1419(17*10^157705+67)/3157706Robert Price01/2019
1420(46^94841+1)/47157696Robert Price01/2014
14212^523774+77839157672Enzo Doria05/2016
14222^523587+2799143157616Enzo Doria04/2016
14232^523371+1872113157551Enzo Doria05/2016
14242^522535-351457157299Enzo Doria07/2015
14252^522226+2799079157206Enzo Doria04/2016
14262^522134-1849451157178Enzo Doria08/2015
14274*10^157150+93157151Robert Price08/2018
14282^521401-29593156958Enzo Doria08/2015
14297*10^156956+87156957Robert Price07/2019
14302^521348-23397156942Enzo Doria08/2013
1431(98^78797+1)/99156901Paul Bourdelais12/2017
143265^86522+64156857Lelio R Paula04/2016
14338^173687-7^173687156855Jean-Louis Charton09/2004
14342^520977-1858183156830Enzo Doria10/2015
1435(8*10^156718-101)/3156719Robert Price08/2018
14362^520314-1849481156631Enzo Doria08/2015
1437(13*10^156522+89)/3156523Robert Price09/2018
1438(2^(6*86654+1)-5)/3156513Kevin Acres12/2013
14393*10^156435-97156436Robert Price07/2018
1440(8*10^156371-77)/3156372Robert Price07/2018
144153^90679-52^90679156356Robert Price01/2013
14422^519106-59141156267Enzo Doria10/2015
14432^519053+6077156251Enzo Doria02/2016
14442^518968-1860989156225Enzo Doria11/2015
1445(25*10^156221-7)/9156222Robert Price05/2018
14462^518931-2782297156214Enzo Doria09/2015
14472^518608-2939156117Yves Minet09/2014
144810*27^109005+697156027Curtis Bright05/2015
14492^517967-113485155924Enzo Doria08/2014
14502^517698+4429155843Lelio R Paula01/2013
14512^517543-113257155796Enzo Doria07/2014
1452(14*10^155740-143)/3155741Robert Price11/2018
145331^104309-30^104309155563Henri Lifchitz08/2013
14542^516742-39851155555Enzo Doria09/2015
14552^516440+1878421155464Enzo Doria08/2016
14562^515863-1867237155291Enzo Doria03/2016
14572^515786-461861155268Enzo Doria07/2015
14582^515644-113247155225Enzo Doria07/2014
1459(7*10^155203+107)/3155204Robert Price02/2018
1460(17*10^155133-89)/9155134Robert Price07/2018
14612^515227-114997155099Enzo Doria06/2015
1462EPrime(155025)155025Eric W. Weisstein10/2010
1463(14*10^155024-221)/9155025Robert Price04/2018
1464(4*10^155022+173)/3155023Robert Price02/2018
1465(115*10^154869-1)/3154871Serge Batalov12/2014
14662^514361+78167154839Enzo Doria05/2016
14672^514281-115033154815Enzo Doria06/2015
14682^514194-3311154788Yves Minet12/2014
1469(14*10^154773+37)/3154774Robert Price12/2018
14702^513437+1879337154560Enzo Doria09/2016
14712^513306-113201154521Enzo Doria07/2014
1472(10^154494-13)/3154494Robert Price12/2017
14732^513042-113787154442Enzo Doria09/2014
14742^512628-114053154317Enzo Doria11/2014
14752^512529-49783154287Enzo Doria10/2015
1476(355573#+6991)/(6991*2031599)154285Makoto Morimoto06/2019
14772^512315-115297154223Enzo Doria06/2015
14782^512168+79561154178Enzo Doria06/2016
14794*10^154078-57154079Robert Price10/2018
1480(355049#+1859)/(11*13*10148891*62587751)154051Makoto Morimoto06/2019
14812^511658-114371154025Enzo Doria02/2015
1482(57^87719+1)/58154022Paul Bourdelais11/2017
14832^511580-1846679154001Enzo Doria07/2015
14842^511541-113713153990Enzo Doria09/2014
14852^511077-112723153850Enzo Doria06/2014
148669^83653-68^83653153826Robert Price12/2013
14872^510963-113707153816Enzo Doria09/2014
1488(154*10^153810-1)/9153812Serge Batalov12/2014
1489(181*25^109991-75077)/8153763Curtis Bright05/2015
14902*10^153746-3153747Robert Price07/2015
14912^510626+1179379153714Enzo Doria05/2016
1492(7*10^153664+113)/3153665Robert Price02/2018
14932^510420+81121153652Enzo Doria07/2016
1494(197*7^181761-1)/2153608Karsten Bonath05/2017
14952^509894-459161153494Enzo Doria05/2015
14962^509841+71657153478Enzo Doria04/2016
14972^509533-1846723153385Enzo Doria07/2015
14982^509468-39989153366Enzo Doria09/2015
149970^83117-69^83117153360Robert Price01/2014
1500(112*10^153025-1)/3153027Serge Batalov12/2014


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: August, 20 2019 14:10 (Time in France)

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