PRP Records

Probable Primes Top 10000

(181746 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 ?
10012^556504-462059167525Enzo Doria07/2015
10025*10^167510+9167511Robert Price08/2015
10032^555343+1874333167175Enzo Doria06/2016
10042^555210-461261167135Enzo Doria07/2015
10052^554372+1880527166883Enzo Doria11/2016
10062^554299+72173166861Enzo Doria04/2016
10072^554037-2797063166782Enzo Doria03/2016
10082^553484-29819166616Enzo Doria08/2015
10092^553383-2784217166585Enzo Doria10/2015
10102^553069+76427166491Enzo Doria05/2016
1011589^60089-588^60089166454Jean-Louis Charton09/2012
101211^159756-2424166369Mike Oakes06/2010
10132^552649-361275166364Enzo Doria05/2014
10142^552628-113669166358Enzo Doria09/2014
10152^552137+1879397166210Enzo Doria09/2016
10162^551542+19249166031Payam Samidoost08/2002
10172^551535-23821166029Enzo Doria08/2013
10182^551507-23557166021Enzo Doria08/2013
10197*10^165916-3165917Robert Price08/2015
102081^86837-80^86837165728Robert Price01/2015
10212^550270-69551165648Enzo Doria12/2015
10222^550000-23625165567Enzo Doria08/2013
10232^549675-1852057165469Enzo Doria08/2015
1024-tau(103^14938)165374Nik Lygeros / Olivier Rozier10/2013
1025(28*10^165358-1)/9165359Serge Batalov10/2014
10262^549278+1879669165350Enzo Doria09/2016
10272^549252-351269165342Enzo Doria06/2015
10282^549049+2797607165281Enzo Doria04/2016
10292^547178-1856501164717Enzo Doria10/2015
103011^158160-60164707Enzo Doria07/2012
10312^546398-59201164483Enzo Doria10/2015
10322^546332-114893164463Enzo Doria05/2015
10332^545958+1876189164350Enzo Doria07/2016
10342^545878-49841164326Enzo Doria10/2015
10352^545668-4019164263Yves Minet04/2017
1036(13*53^238539*617^9)/10^247183164151Hans Havermann07/2017
10372^545185+76757164118Enzo Doria05/2016
10382^545076-114329164085Enzo Doria01/2015
1039(29^112153+1)/30164011Lelio R Paula03/2017
10402^544757+1874777163989Enzo Doria06/2016
10412^544444-457199163894Enzo Doria01/2015
10422^544264-343529163840Enzo Doria07/2015
10437*10^163780+9163781Robert Price09/2015
10442^543989+2793047163758Enzo Doria02/2016
10452^542870-69551163421Enzo Doria12/2015
10462^542395+72533163278Enzo Doria04/2016
10472^542072-3683163180Yves Minet03/2017
10482^541779-1867357163092Enzo Doria04/2016
10498*10^162924+9162925Robert Price12/2015
10502^540905+81557162829Enzo Doria08/2016
10512^540628-2939162746Yves Minet09/2014
1052919^54919-918^54919162743Jean-Louis Charton01/2013
10533^340694-112960162553Enzo Doria07/2014
10542^539807-114081162499Enzo Doria12/2014
10552^539654-114893162453Enzo Doria05/2015
10562^539617-1851583162441Enzo Doria08/2015
10572^539346+81049162360Enzo Doria07/2016
10582^539220-115499162322Enzo Doria07/2015
10592^539217-113713162321Enzo Doria09/2014
10609^170099-8^170099162316Jean-Louis Charton05/2005
1061(115*10^162153-1)/3162155Serge Batalov12/2014
1062(10^162138+11)/3162138Serge Batalov07/2015
10632^538473-112723162097Enzo Doria06/2014
10642^538157+79337162002Enzo Doria06/2016
10652^538136-114749161996Enzo Doria05/2015
10662^538104+1531161986Lelio R Paula01/2013
1067(9*29^110727-1199)/14161927Curtis Bright05/2015
10682^537815-22737161899Enzo Doria07/2013
10692^537804-39839161896Enzo Doria09/2015
10702^537458-59201161791Enzo Doria10/2015
10712^537209-49849161717Enzo Doria10/2015
10722^536937+1879397161635Enzo Doria09/2016
10732^536569-22881161524Enzo Doria07/2013
10747*10^161192-9161193Robert Price10/2015
10752^535269-113803161133Enzo Doria09/2014
10762^535205-23295161113Enzo Doria08/2013
10772^534359-23229160859Enzo Doria08/2013
107867^88037-66^88037160763Robert Price10/2013
10792^533948-1852559160735Enzo Doria08/2015
10802^533665-23335160650Enzo Doria08/2013
10813^336353-2^336353160482Mike Oakes10/2007
10822^532253+1868417160225Enzo Doria04/2016
10832^532108-291989160181Enzo Doria07/2015
10842^531110-1853771159881Enzo Doria09/2015
10852^530992-1845299159845Enzo Doria07/2015
1086(136*10^159736-1)/9159738Serge Batalov12/2014
10872^530417-113833159672Enzo Doria09/2014
10882^530406-69701159669Enzo Doria02/2016
1089(24^115597-1)/23159547Paul Bourdelais09/2017
10902^528944-461315159229Enzo Doria07/2015
10912^528620-113879159131Enzo Doria10/2014
10922^528000-23307158944Enzo Doria08/2013
10932^527817+1876817158889Enzo Doria07/2016
10942^527774-49451158876Enzo Doria10/2015
10952^527745-291553158868Enzo Doria07/2015
10962^527644-1856999158837Enzo Doria10/2015
1097(37200^37199-37198^37199)/(2^37199)158822Henri Lifchitz06/2013
10982^527573-1863253158816Enzo Doria12/2015
10992^527553-23401158810Enzo Doria08/2013
110011^152420-210158730Enzo Doria09/2012
11012^527052-69059158659Enzo Doria11/2015
11022^526849-113233158598Enzo Doria07/2014
1103(2^526763-lucasV(1,2,526763)+1)/2158572Mike Oakes11/2016
11042^526658-3551158540Yves Minet03/2017
11052^526375-23115158455Enzo Doria08/2013
11062^526028-112793158351Enzo Doria07/2014
11072^525690-9221158249Lelio R Paula01/2013
11082*10^158242-7158243Robert Price10/2015
11092^525186-1857431158097Enzo Doria10/2015
11102^524515-23245157895Enzo Doria08/2013
11112^524499-109087157890Enzo Doria04/2014
11122^18067*(2^506221+1)-1157827Makoto Morimoto05/2014
11132^524288+189093157827Makoto Morimoto01/2016
1114(10^157792+359)/9157792Serge Batalov12/2014
11152^523924+1876591157717Enzo Doria07/2016
1116(46^94841+1)/47157696Robert Price01/2014
11172^523774+77839157672Enzo Doria05/2016
11182^523587+2799143157616Enzo Doria04/2016
11192^523371+1872113157551Enzo Doria05/2016
11202^522535-351457157299Enzo Doria07/2015
11212^522226+2799079157206Enzo Doria04/2016
11222^522134-1849451157178Enzo Doria08/2015
11232^521401-29593156958Enzo Doria08/2015
11242^521348-23397156942Enzo Doria08/2013
112565^86522+64156857Lelio R Paula04/2016
11268^173687-7^173687156855Jean-Louis Charton09/2004
11272^520977-1858183156830Enzo Doria10/2015
11282^520314-1849481156631Enzo Doria08/2015
1129(2^(6*86654+1)-5)/3156513Kevin Acres12/2013
113053^90679-52^90679156356Robert Price01/2013
11312^519106-59141156267Enzo Doria10/2015
11322^519053+6077156251Enzo Doria02/2016
11332^518968-1860989156225Enzo Doria11/2015
11342^518931-2782297156214Enzo Doria09/2015
11352^518608-2939156117Yves Minet09/2014
113610*27^109005+697156027Curtis Bright05/2015
11372^517967-113485155924Enzo Doria08/2014
11382^517698+4429155843Lelio R Paula01/2013
11392^517543-113257155796Enzo Doria07/2014
114031^104309-30^104309155563Henri Lifchitz08/2013
11412^516742-39851155555Enzo Doria09/2015
11422^516440+1878421155464Enzo Doria08/2016
11432^515863-1867237155291Enzo Doria03/2016
11442^515786-461861155268Enzo Doria07/2015
11452^515644-113247155225Enzo Doria07/2014
11462^515227-114997155099Enzo Doria06/2015
1147EPrime(155025)155025Eric W. Weisstein10/2010
1148(115*10^154869-1)/3154871Serge Batalov12/2014
11492^514361+78167154839Enzo Doria05/2016
11502^514281-115033154815Enzo Doria06/2015
11512^514194-3311154788Yves Minet12/2014
11522^513437+1879337154560Enzo Doria09/2016
11532^513306-113201154521Enzo Doria07/2014
11542^513042-113787154442Enzo Doria09/2014
11552^512628-114053154317Enzo Doria11/2014
11562^512529-49783154287Enzo Doria10/2015
11572^512315-115297154223Enzo Doria06/2015
11582^512168+79561154178Enzo Doria06/2016
11592^511658-114371154025Enzo Doria02/2015
11602^511580-1846679154001Enzo Doria07/2015
11612^511541-113713153990Enzo Doria09/2014
11622^511077-112723153850Enzo Doria06/2014
116369^83653-68^83653153826Robert Price12/2013
11642^510963-113707153816Enzo Doria09/2014
1165(154*10^153810-1)/9153812Serge Batalov12/2014
1166(181*25^109991-75077)/8153763Curtis Bright05/2015
11672*10^153746-3153747Robert Price07/2015
11682^510626+1179379153714Enzo Doria05/2016
11692^510420+81121153652Enzo Doria07/2016
1170(197*7^181761-1)/2153608Karsten Bonath05/2017
11712^509894-459161153494Enzo Doria05/2015
11722^509841+71657153478Enzo Doria04/2016
11732^509533-1846723153385Enzo Doria07/2015
11742^509468-39989153366Enzo Doria09/2015
117570^83117-69^83117153360Robert Price01/2014
1176(112*10^153025-1)/3153027Serge Batalov12/2014
11772^508174-1855151152976Enzo Doria09/2015
11782^508160-1864829152972Enzo Doria01/2016
11792^507857-1848199152881Enzo Doria07/2015
11802^507638-115361152815Enzo Doria07/2015
11812^507551-114025152789Enzo Doria11/2014
1182(6^196337+1)/7152780Paul Bourdelais02/2010
11832^506451-22339152457Enzo Doria07/2013
11842^505995-113185152320Enzo Doria07/2014
1185578^55117-577^55117152230Jean-Louis Charton08/2012
11862^505431-505431152150Henri Lifchitz04/2005
11872^505053+73097152037Enzo Doria04/2016
1188350377#+797581151937Nicolas PALAU08/2017
11892^504618-343991151906Enzo Doria07/2015
11902^504212-461939151783Enzo Doria07/2015
11912^504054-2231151736Yves Minet10/2011
11922^503361-39883151527Enzo Doria09/2015
11932^503225+382667151486Enzo Doria10/2016
11942^502769+1877567151349Enzo Doria08/2016
11952^502576-4019151291Yves Minet10/2011
11962^502290-2792501151205Enzo Doria02/2016
11972^502181+1868417151172Enzo Doria04/2016
11982^501781-1850503151052Enzo Doria08/2015
11992^501627-991151005Yves Minet02/2014
12002^501577-115333150990Enzo Doria07/2015
12018*10^150975+3150976Robert Price08/2015
12022^501512-113669150971Enzo Doria09/2014
1203(12^139739+1)/13150803Paul Bourdelais09/2011
1204(31^101111-1)/30150792Alexander Zhirkov11/2010
12052^500899-500899150786Henri Lifchitz04/2005
12062^500832+1876801150766Enzo Doria07/2016
12072^500699+1884953150726Enzo Doria02/2017
1208(2^500527+lucasV(1,2,500527)+1)/4150674Mike Oakes11/2016
12092^500337-71101150617Enzo Doria04/2016
12102^500160+80071150564Enzo Doria06/2016
1212(10^150551-1)/9/385207015049/57498437921/7808738631274081150512Maksym Voznyy08/2014
1211(10^150551-1)/1556587827131683185788921941743157225041150512Robert Price07/2016
12132^499861-29503150474Enzo Doria08/2015
12142^499653-113533150411Enzo Doria08/2014
12152^499534-221150375Yves Minet06/2012
12162^499225+49727150282Enzo Doria09/2016
12172^499054-29261150231Enzo Doria07/2015
1218(2^498898-7)/9150183Lelio R Paula10/2015
12192^498623+1866983150101Enzo Doria03/2016
1220numbpart(18140942830)150033Serge Batalov04/2017
122110^150029+4381150030Patrick De Geest05/2016
122210^150029-41150029Serge Batalov12/2014
12232^497850+81049149868Enzo Doria07/2016
1224(5*2^497673+1)/2743149812Lelio R Paula10/2015
1225(5*2^497671+1)/373703149810Lelio R Paula10/2015
12262^497434-2784191149743Enzo Doria10/2015
12272^497068-113579149633Enzo Doria08/2014
12282^497037+73727149624Enzo Doria04/2016
12292^496773+77747149544Enzo Doria05/2016
12302^496477-113485149455Enzo Doria08/2014
12312^496270-49451149393Enzo Doria10/2015
12322^496238-1865081149383Enzo Doria01/2016
12332^495968-1853699149302Enzo Doria09/2015
12342^495712-396765149225Enzo Doria07/2013
1235(21*2^495676-1)/4835149211Lelio R Paula10/2015
12362^495420+1880701149137Enzo Doria10/2016
12372^495337-1847293149112Enzo Doria07/2015
1238(2^495193-7)/5149068Lelio R Paula10/2015
1239413^56963-412^56963149013Jean-Louis Charton08/2012
124047^89113-46^89113149006Robert Price10/2012
12412^494916+87855148985Lelio R Paula01/2016
12422^494586-2791991148886Enzo Doria02/2016
12438*10^148860-3148861Ray Chandler04/2011
12442^494333-286183148810Enzo Doria06/2015
12452^494144-264119148753Enzo Doria05/2014
1246(5*2^493838-1)/3721148658Lelio R Paula10/2015
1247(23*2^493761-1)/555148636Lelio R Paula10/2015
12482^493636+82081148600Enzo Doria09/2016
1249((((((((((((((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
1250(8*10^148328+1)/9148328Serge Batalov05/2010


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: September, 14 2017 17:05 (Time in France)

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