PRP Records

Probable Primes Top 10000

(172213 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 ?
10012^539346+81049162360Enzo Doria07/2016
10022^539220-115499162322Enzo Doria07/2015
10032^539217-113713162321Enzo Doria09/2014
10049^170099-8^170099162316Jean-Louis Charton05/2005
1005(115*10^162153-1)/3162155Serge Batalov12/2014
1006(10^162138+11)/3162138Serge Batalov07/2015
10072^538473-112723162097Enzo Doria06/2014
10082^538157+79337162002Enzo Doria06/2016
10092^538136-114749161996Enzo Doria05/2015
10102^538104+1531161986Lelio R Paula01/2013
1011(9*29^110727-1199)/14161927Curtis Bright05/2015
10122^537815-22737161899Enzo Doria07/2013
10132^537804-39839161896Enzo Doria09/2015
10142^537458-59201161791Enzo Doria10/2015
10152^537209-49849161717Enzo Doria10/2015
10162^536937+1879397161635Enzo Doria09/2016
10172^536569-22881161524Enzo Doria07/2013
10187*10^161192-9161193Robert Price10/2015
10192^535269-113803161133Enzo Doria09/2014
10202^535205-23295161113Enzo Doria08/2013
10212^534359-23229160859Enzo Doria08/2013
102267^88037-66^88037160763Robert Price10/2013
10232^533948-1852559160735Enzo Doria08/2015
10242^533665-23335160650Enzo Doria08/2013
10253^336353-2^336353160482Mike Oakes10/2007
10262^532253+1868417160225Enzo Doria04/2016
10272^532108-291989160181Enzo Doria07/2015
10282^531110-1853771159881Enzo Doria09/2015
10292^530992-1845299159845Enzo Doria07/2015
1030(136*10^159736-1)/9159738Serge Batalov12/2014
10312^530417-113833159672Enzo Doria09/2014
10322^530406-69701159669Enzo Doria02/2016
10332^528944-461315159229Enzo Doria07/2015
10342^528620-113879159131Enzo Doria10/2014
10352^528000-23307158944Enzo Doria08/2013
10362^527817+1876817158889Enzo Doria07/2016
10372^527774-49451158876Enzo Doria10/2015
10382^527745-291553158868Enzo Doria07/2015
10392^527644-1856999158837Enzo Doria10/2015
1040(37200^37199-37198^37199)/(2^37199)158822Henri Lifchitz06/2013
10412^527573-1863253158816Enzo Doria12/2015
10422^527553-23401158810Enzo Doria08/2013
104311^152420-210158730Enzo Doria09/2012
10442^527052-69059158659Enzo Doria11/2015
10452^526849-113233158598Enzo Doria07/2014
1046(2^526763-lucasV(1,2,526763)+1)/2158572Mike Oakes11/2016
10472^526658-3551158540Yves Minet03/2017
10482^526375-23115158455Enzo Doria08/2013
10492^526028-112793158351Enzo Doria07/2014
10502^525690-9221158249Lelio R Paula01/2013
10512*10^158242-7158243Robert Price10/2015
10522^525186-1857431158097Enzo Doria10/2015
10532^524515-23245157895Enzo Doria08/2013
10542^524499-109087157890Enzo Doria04/2014
10552^18067*(2^506221+1)-1157827Makoto Morimoto05/2014
10562^524288+189093157827Makoto Morimoto01/2016
1057(10^157792+359)/9157792Serge Batalov12/2014
10582^523924+1876591157717Enzo Doria07/2016
1059(46^94841+1)/47157696Robert Price01/2014
10602^523774+77839157672Enzo Doria05/2016
10612^523587+2799143157616Enzo Doria04/2016
10622^523371+1872113157551Enzo Doria05/2016
10632^522535-351457157299Enzo Doria07/2015
10642^522226+2799079157206Enzo Doria04/2016
10652^522134-1849451157178Enzo Doria08/2015
10662^521401-29593156958Enzo Doria08/2015
10672^521348-23397156942Enzo Doria08/2013
106865^86522+64156857Lelio R Paula04/2016
10698^173687-7^173687156855Jean-Louis Charton09/2004
10702^520977-1858183156830Enzo Doria10/2015
10712^520314-1849481156631Enzo Doria08/2015
1072(2^(6*86654+1)-5)/3156513Kevin Acres12/2013
107353^90679-52^90679156356Robert Price01/2013
10742^519106-59141156267Enzo Doria10/2015
10752^519053+6077156251Enzo Doria02/2016
10762^518968-1860989156225Enzo Doria11/2015
10772^518931-2782297156214Enzo Doria09/2015
10782^518608-2939156117Yves Minet09/2014
107910*27^109005+697156027Curtis Bright05/2015
10802^517967-113485155924Enzo Doria08/2014
10812^517698+4429155843Lelio R Paula01/2013
10822^517543-113257155796Enzo Doria07/2014
108331^104309-30^104309155563Henri Lifchitz08/2013
10842^516742-39851155555Enzo Doria09/2015
10852^516440+1878421155464Enzo Doria08/2016
10862^515863-1867237155291Enzo Doria03/2016
10872^515786-461861155268Enzo Doria07/2015
10882^515644-113247155225Enzo Doria07/2014
10892^515227-114997155099Enzo Doria06/2015
1090EPrime(155025)155025Eric W. Weisstein10/2010
1091(115*10^154869-1)/3154871Serge Batalov12/2014
10922^514361+78167154839Enzo Doria05/2016
10932^514281-115033154815Enzo Doria06/2015
10942^514194-3311154788Yves Minet12/2014
10952^513437+1879337154560Enzo Doria09/2016
10962^513306-113201154521Enzo Doria07/2014
10972^513042-113787154442Enzo Doria09/2014
10982^512628-114053154317Enzo Doria11/2014
10992^512529-49783154287Enzo Doria10/2015
11002^512315-115297154223Enzo Doria06/2015
11012^512168+79561154178Enzo Doria06/2016
11022^511658-114371154025Enzo Doria02/2015
11032^511580-1846679154001Enzo Doria07/2015
11042^511541-113713153990Enzo Doria09/2014
11052^511077-112723153850Enzo Doria06/2014
110669^83653-68^83653153826Robert Price12/2013
11072^510963-113707153816Enzo Doria09/2014
1108(154*10^153810-1)/9153812Serge Batalov12/2014
1109(181*25^109991-75077)/8153763Curtis Bright05/2015
11102*10^153746-3153747Robert Price07/2015
11112^510626+1179379153714Enzo Doria05/2016
11122^510420+81121153652Enzo Doria07/2016
11132^509894-459161153494Enzo Doria05/2015
11142^509841+71657153478Enzo Doria04/2016
11152^509533-1846723153385Enzo Doria07/2015
11162^509468-39989153366Enzo Doria09/2015
111770^83117-69^83117153360Robert Price01/2014
1118(112*10^153025-1)/3153027Serge Batalov12/2014
11192^508174-1855151152976Enzo Doria09/2015
11202^508160-1864829152972Enzo Doria01/2016
11212^507857-1848199152881Enzo Doria07/2015
11222^507638-115361152815Enzo Doria07/2015
11232^507551-114025152789Enzo Doria11/2014
1124(6^196337+1)/7152780Paul Bourdelais02/2010
11252^506451-22339152457Enzo Doria07/2013
11262^505995-113185152320Enzo Doria07/2014
1127578^55117-577^55117152230Jean-Louis Charton08/2012
11282^505431-505431152150Henri Lifchitz04/2005
11292^505053+73097152037Enzo Doria04/2016
11302^504618-343991151906Enzo Doria07/2015
11312^504212-461939151783Enzo Doria07/2015
11322^504054-2231151736Yves Minet10/2011
11332^503361-39883151527Enzo Doria09/2015
11342^503225+382667151486Enzo Doria10/2016
11352^502769+1877567151349Enzo Doria08/2016
11362^502576-4019151291Yves Minet10/2011
11372^502290-2792501151205Enzo Doria02/2016
11382^502181+1868417151172Enzo Doria04/2016
11392^501781-1850503151052Enzo Doria08/2015
11402^501627-991151005Yves Minet02/2014
11412^501577-115333150990Enzo Doria07/2015
11428*10^150975+3150976Robert Price08/2015
11432^501512-113669150971Enzo Doria09/2014
1144(12^139739+1)/13150803Paul Bourdelais09/2011
1145(31^101111-1)/30150792Alexander Zhirkov11/2010
11462^500899-500899150786Henri Lifchitz04/2005
11472^500832+1876801150766Enzo Doria07/2016
11482^500699+1884953150726Enzo Doria02/2017
1149(2^500527+lucasV(1,2,500527)+1)/4150674Mike Oakes11/2016
11502^500337-71101150617Enzo Doria04/2016
11512^500160+80071150564Enzo Doria06/2016
1153(10^150551-1)/9/385207015049/57498437921/7808738631274081150512Maksym Voznyy08/2014
1152(10^150551-1)/1556587827131683185788921941743157225041150512Robert Price07/2016
11542^499861-29503150474Enzo Doria08/2015
11552^499653-113533150411Enzo Doria08/2014
11562^499534-221150375Yves Minet06/2012
11572^499225+49727150282Enzo Doria09/2016
11582^499054-29261150231Enzo Doria07/2015
1159(2^498898-7)/9150183Lelio R Paula10/2015
11602^498623+1866983150101Enzo Doria03/2016
116110^150029+4381150030Patrick De Geest05/2016
116210^150029-41150029Serge Batalov12/2014
11632^497850+81049149868Enzo Doria07/2016
1164(5*2^497673+1)/2743149812Lelio R Paula10/2015
1165(5*2^497671+1)/373703149810Lelio R Paula10/2015
11662^497434-2784191149743Enzo Doria10/2015
11672^497068-113579149633Enzo Doria08/2014
11682^497037+73727149624Enzo Doria04/2016
11692^496773+77747149544Enzo Doria05/2016
11702^496477-113485149455Enzo Doria08/2014
11712^496270-49451149393Enzo Doria10/2015
11722^496238-1865081149383Enzo Doria01/2016
11732^495968-1853699149302Enzo Doria09/2015
11742^495712-396765149225Enzo Doria07/2013
1175(21*2^495676-1)/4835149211Lelio R Paula10/2015
11762^495420+1880701149137Enzo Doria10/2016
11772^495337-1847293149112Enzo Doria07/2015
1178(2^495193-7)/5149068Lelio R Paula10/2015
1179413^56963-412^56963149013Jean-Louis Charton08/2012
118047^89113-46^89113149006Robert Price10/2012
11812^494916+87855148985Lelio R Paula01/2016
11822^494586-2791991148886Enzo Doria02/2016
11838*10^148860-3148861Ray Chandler04/2011
11842^494333-286183148810Enzo Doria06/2015
11852^494144-264119148753Enzo Doria05/2014
1186(5*2^493838-1)/3721148658Lelio R Paula10/2015
1187(23*2^493761-1)/555148636Lelio R Paula10/2015
11882^493636+82081148600Enzo Doria09/2016
1189((((((((((((((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
1190(8*10^148328+1)/9148328Serge Batalov05/2010
11915^211959-12874148153Enzo Doria05/2014
11922^491851+1871453148062Enzo Doria05/2016
11932^491521-1865323147963Enzo Doria02/2016
1194(2^491476+7)/71147948Lelio R Paula10/2015
11952^491391-7807147924Lelio R Paula01/2013
11962^491370-113297147918Enzo Doria07/2014
1197(32760^32760+32759^32759)/95546586737133567708319147900Robert Price07/2016
11982^490550+1179439147671Enzo Doria06/2016
11992^490303+2793653147596Enzo Doria03/2016
12002^489871-286987147466Enzo Doria07/2015
12012^489864-351899147464Enzo Doria07/2015
12022^489712+1874851147419Enzo Doria06/2016
12032^489305-59815147296Enzo Doria10/2015
1204(2^489280-7)/6381147285Lelio R Paula09/2015
12052^489125+80357147242Enzo Doria06/2016
12062^488648-112799147098Enzo Doria07/2014
12072^488627-350317147092Enzo Doria06/2015
1208(2^488441-1)/(61543567*30051203516986199)147012Dario Alpern12/2014
12092^488280-2165146987Yves Minet07/2014
12102^487726-1863341146821Enzo Doria12/2015
12112^487121-39523146639Enzo Doria09/2015
1212(7*2^486967+1)/39146591Lelio R Paula09/2015
12132^486840+1879141146554Enzo Doria08/2016
121496^73877-95^73877146445Robert Price10/2015
12152^485531-114621146160Enzo Doria05/2015
1216(2^485461-9)/4249146135Lelio R Paula09/2015
12172^485389+81887146117Enzo Doria08/2016
1218(10^146063+71)/9146063Serge Batalov07/2015
1219(2^485119+7)/2745146032Lelio R Paula09/2015
12202^484743+1872923145923Enzo Doria05/2016
12212^484341+1879157145802Enzo Doria08/2016
122270^78989-69^78989145743Robert Price01/2014
122351^85334+2145714Robert Price07/2015
12242^483886-1857101145665Enzo Doria10/2015
12252^483563-1863457145567Enzo Doria12/2015
12262^483516-1861409145553Enzo Doria11/2015
12272^483384-115019145514Enzo Doria06/2015
12282^483302-3221145489Lelio R Paula12/2012
12292^483046+1874029145412Enzo Doria06/2016
12302^482991-2789317145395Enzo Doria12/2015
12312^482978-2789711145391Enzo Doria12/2015
12322^482966-2789711145388Enzo Doria12/2015
12332^482817-1858843145343Enzo Doria10/2015
12342^482751-113635145323Enzo Doria08/2014
12352^482705-459763145309Enzo Doria05/2015
1236(4^241306+11)/3145281Robert Price03/2017
1237(19*2^482534+1)/7145258Lelio R Paula09/2015
123853^84239-52^84239145252Robert Price01/2013
1239(2^482333+5)/9287145193Lelio R Paula09/2015
12402^482087+72623145123Enzo Doria04/2016
12412^482016-286565145102Enzo Doria07/2015
12422^481840+15145049Robert Price09/2015
12432^481801-481801145037Henri Lifchitz03/2005
12442^481775+1869083145029Enzo Doria05/2016
124529^99167+2145022Ray Chandler08/2011
12462^481663+1875653144996Enzo Doria07/2016
12472^481149-459073144841Enzo Doria05/2015
12482^481045-113215144809Enzo Doria07/2014
12492^480859-113695144753Enzo Doria09/2014
12502^480766-2787191144725Enzo Doria11/2015


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: March, 26 2017 17:51 (Time in France)

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