PRP Records

Probable Primes Top 10000

(252402 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 ?
275199^54094+2107952Lelio R Paula06/2013
2752(2^358583-9)/391107942Lelio R Paula12/2013
27532^358538+55107931Lelio R Paula12/2011
27542^358517-109009107925Enzo Doria03/2014
27553^226159+104107906Lelio R Paula03/2017
27562^358310-11655107863Lelio R Paula03/2017
27572^358275-112987107852Enzo Doria07/2014
27582^358233-20005107839Enzo Doria06/2013
27592^358194+175107828Lelio R Paula12/2011
2760107^53125-106107812Norbert Schneider12/2016
27613^225922-2107793Lelio R Paula10/2013
276212^99874-95107783Lelio R Paula03/2017
27632^358030-171107778Lelio R Paula12/2011
276411^103488-4170107772Enzo Doria12/2012
27652^357911-20089107742Enzo Doria06/2013
27662^357885+12857107735Yves Minet07/2010
27677^127473+40107728Lelio R Paula03/2017
27685*2^357850+9107725Lelio R Paula09/2014
27692^357786-291191107705Enzo Doria06/2015
277018^85798-23107700Lelio R Paula04/2017
27712^357688-1854269107675Enzo Doria09/2015
27722^357671-112225107670Enzo Doria06/2014
27732^357618-21005107654Enzo Doria06/2013
27742^357615-17505107653Enzo Doria05/2013
2775(30^72871-1)/29107638Robert Price12/2011
27762^357521+1870217107625Enzo Doria05/2016
27772^357477-1203107612Lelio R Paula03/2017
27785^153894-18107568Lelio R Paula02/2017
27792^357324-69059107566Enzo Doria11/2015
27802^357283-869688105107553Lelio R Paula01/2017
27812^357280-16805107552Enzo Doria05/2013
278210^107547+481719107548Patrick De Geest03/2017
278310^107547-47107547Lelio R Paula02/2017
278417^87396-32107537Lelio R Paula04/2017
27852^357081+107107493Lelio R Paula12/2011
27862^357058-3911107486Yves Minet04/2017
27873^225274+64107484Lelio R Paula03/2017
278818^85619-95107476Lelio R Paula04/2017
27893^225248-130107471Lelio R Paula03/2017
2790(5*2^356961+1)/143107455Lelio R Paula03/2014
27912^356935-18085107449Enzo Doria05/2013
279210^107409+37107410Lelio R Paula02/2017
279310^107409-329633107409Patrick De Geest03/2017
27942^356787-109027107404Enzo Doria04/2014
2795(2^356767+78557)/5107397Lelio R Paula12/2013
27963*10^107389+77107390Robert Price09/2018
27975^153622-42107378Lelio R Paula02/2017
27982^356699-97305107378Lelio R Paula03/2017
27992^356654+85107364Lelio R Paula11/2011
28002^356641-19921107360Enzo Doria06/2013
28012^356623-465107355Lelio R Paula03/2017
280219^83945-92107345Lelio R Paula02/2017
280310^107334+28149107335Patrick De Geest03/2017
280410^107334-83107334Lelio R Paula02/2017
28052^356518+885107323Lelio R Paula03/2017
2806(3*2^356506-1)/467107317Lelio R Paula03/2014
28072^356442-114713107300Enzo Doria04/2015
28082^356425+72257107295Enzo Doria04/2016
28092^356351-112237107273Enzo Doria06/2014
2810(6^137845-11)/5107264Paul Bourdelais11/2011
28112^356322+74539107264Enzo Doria04/2016
28122^356274+1874479107250Enzo Doria06/2016
281320^82422-93107234Lelio R Paula02/2017
28142^356157-20365107214Enzo Doria06/2013
28152^356129-18949107206Enzo Doria05/2013
28162^356100-109587107197Enzo Doria04/2014
2817(31*2^355970+1)/5107159Lelio R Paula03/2014
28182^355968-64875107158Lelio R Paula01/2017
28192^355952+1870321107153Enzo Doria05/2016
28202^355915-117107142Lelio R Paula11/2011
2821(19*2^355838-1)/15107119Lelio R Paula03/2014
28223^224495-8107112Lelio R Paula12/2013
28237^126691-44107067Lelio R Paula03/2017
28244^177830-8243107065Mike Oakes02/2011
28252^355524-21237107024Enzo Doria06/2013
2826(10223*2^355515+1)/4855107022Lelio R Paula07/2014
28272^355494-19901107015Enzo Doria06/2013
28282^355454-869688105107003Lelio R Paula01/2017
28292^355366+54615106976Lelio R Paula01/2017
2830(31*2^355346-1)/1563106969Lelio R Paula03/2014
28312^355275-19861106949Enzo Doria06/2013
2832(9179*2^355234-1)/1915106937Lelio R Paula05/2015
28334*10^106892-3106893Robert Price10/2015
2834(66^58741+1)/67106881Paul Bourdelais08/2017
28352^354946-3106850M. Frind & P. Underwood08/2002
28362^354873-18693106828Enzo Doria05/2013
28372^354828+4257106814Lelio R Paula01/2017
2838(21^80761+1)/22106783Paul Bourdelais03/2010
28392^354640-354640+1106758Robert Price10/2014
28402^354585+95106741Lelio R Paula10/2011
28412^354553+189106732Lelio R Paula10/2011
28422^354514-109031106720Enzo Doria04/2014
28432^354509-109465106718Enzo Doria04/2014
2844(15*2^354478-1)/26983106706Lelio R Paula03/2014
284515^90710+28106684Lelio R Paula04/2017
28467^126237+34106683Lelio R Paula03/2017
28472^354385-115315106681Enzo Doria06/2015
28482^354327-19305106664Enzo Doria06/2013
2849(35*10^106649+1)/9106650Serge Batalov11/2010
285010^106636+97106637Lelio R Paula02/2017
285110^106636-22923106636Patrick De Geest03/2017
28522^354220-57106631Lelio R Paula10/2011
28532^354157-17041106612Enzo Doria05/2013
285412^98778+73106600Lelio R Paula02/2017
28552^354064+1870651106584Enzo Doria05/2016
28562^353992-57106563Lelio R Paula10/2011
2857NSW(139160)106535Robert Price12/2018
2858(7*10^106516+113)/3106517Robert Price02/2018
28592^353832-1853849106515Enzo Doria09/2015
2860(7^126037-1)/6106513Paul Bourdelais09/2008
28612^353794-18453106503Enzo Doria05/2013
28622^353728+7695106483Lelio R Paula01/2017
28632^353672-303106466Yves Minet02/2012
28646^136811+101106460Lelio R Paula02/2017
28652^353641+1871981106457Enzo Doria05/2016
2866(8*10^106454-29)/3106455Robert Price07/2018
28672^353553+54615106431Lelio R Paula01/2017
28682^353544-18897106428Enzo Doria05/2013
28696^136729-133106396Lelio R Paula02/2017
28702^353418+1605106390Lelio R Paula01/2017
28712^353387+65106381Lelio R Paula10/2011
28722^353372+74311106376Enzo Doria04/2016
28732^353344-3693106368Yves Minet03/2017
28742^353277-20089106347Enzo Doria06/2013
28752^353275+72173106347Enzo Doria04/2016
28762^353268-17705106345Enzo Doria05/2013
28772^353267-19857106344Enzo Doria06/2013
2878222748^3+3^222748106278Anatoly F. Selevich12/2010
2879(9179*2^353019-1)/9106273Lelio R Paula05/2015
28802^353025+72257106272Enzo Doria04/2016
28822^352932-20345106244Enzo Doria06/2013
2881(2^353011-3)/745325861246794515484535106244Lelio R Paula12/2013
28832^352883-187106229Lelio R Paula10/2011
288420^81649-19^81649106228Jean-Louis Charton03/2011
28852^352814-131106208Lelio R Paula10/2011
28862^352752+73951106189Enzo Doria04/2016
28876^136434+5106167Lelio R Paula11/2014
28887*5^151872-8106155Lelio R Paula11/2014
2889105^52520-2106153Lelio R Paula10/2017
28902^352601-1604809106144Enzo Doria05/2015
289112^98353-43106141Lelio R Paula02/2017
28922^352585-18901106139Enzo Doria05/2013
2893(2^352554-3)/193106128Lelio R Paula12/2013
28942^352540+15015106126Lelio R Paula01/2017
28952^352524-3149106121Yves Minet10/2014
28962^352486-1858781106109Enzo Doria04/2016
28972^352444+12705106097Lelio R Paula01/2017
28982^352228-18953106032Enzo Doria05/2013
28992^352107+1872533105995Enzo Doria05/2016
29002^352066-2591105983Yves Minet07/2014
29012^352030+715105972Lelio R Paula10/2011
29029*6^136176-5105967Lelio R Paula11/2014
290317099*2^351991+58329105965Paul Vanderveen12/2017
2904155^48377+2105962Lelio R Paula08/2013
29052^351865+1869707105922Enzo Doria05/2016
29062^351831+23105912Lelio R Paula10/2011
29079*2^351784-5105899Lelio R Paula09/2014
29082^351671-112387105864Enzo Doria06/2014
29092^351669-109501105863Enzo Doria04/2014
29102^351644+74731105856Enzo Doria04/2016
291113^95025-42105853Lelio R Paula12/2016
29122^351599+15015105842Lelio R Paula01/2017
291319^82763+90105834Lelio R Paula01/2017
2914(9179*2^351540-1)/221105826Lelio R Paula05/2015
291520^81329-51105812Lelio R Paula01/2017
2916(5*10^105811+211)/9105811Robert Price02/2018
29172^351483+28425105807Lelio R Paula01/2017
291815^89960+86105802Lelio R Paula02/2017
29192^351460-17289105801Enzo Doria05/2013
292019^82735+22105798Lelio R Paula01/2017
29212^351435-109077105793Enzo Doria04/2014
29222^351393+1089105780Lelio R Paula01/2017
29232^351364+72631105772Enzo Doria04/2016
29242^351305+1872467105754Enzo Doria05/2016
29253^221649+16105754Lelio R Paula11/2016
29268*3^221637-5105749Lelio R Paula09/2014
29272^351279-2780449105746Enzo Doria03/2016
292815^89903-26105735Lelio R Paula02/2017
29292^351213-73105726Lelio R Paula10/2011
29302^351192-4589105720Yves Minet07/2011
293120^81250-33105709Lelio R Paula12/2016
29322^351076-113159105685Enzo Doria07/2014
293393^53688-2105684Lelio R Paula09/2013
29342^351060-4559105680Yves Minet07/2011
293511^101473-750105674Enzo Doria11/2012
29363*5^151181-8105672Lelio R Paula11/2014
293715^89831-34105650Lelio R Paula02/2017
293911^101448-360105648Enzo Doria08/2012
29383*7^125011+4105648Lelio R Paula11/2014
29402^350943-113269105645Enzo Doria07/2014
29412^350868-19725105622Enzo Doria06/2013
29422^350858-59291105619Enzo Doria10/2015
29432^350851+135105617Lelio R Paula10/2011
29442^350841-741105614Lelio R Paula01/2017
29453*10^105582+77105583Robert Price09/2018
29468*10^105571+3105572Robert Price08/2015
29472^350674-78557105564Jorge Menendez03/2018
29482*5^151026-3105563Lelio R Paula11/2014
2949(2^350702+5)/34264674063105562Lelio R Paula12/2013
29506^135647-5^135647105554Jean-Louis Charton02/2009
29513^221211+236105545Lelio R Paula11/2016
2952(32*10^105530-77)/9105531Robert Price06/2018
295310^105515+33105516Lelio R Paula11/2016
295410^105515-41033105515Patrick De Geest12/2016
2955(29*2^350473-1)/267927105499Lelio R Paula03/2014
295617^85732-72105489Lelio R Paula01/2017
29572^350307-110329105453Enzo Doria05/2014
29582^350253-20365105437Enzo Doria06/2013
2959(3*29^72089-1075)/4105423Curtis Bright05/2015
29602^350139-109009105403Enzo Doria04/2014
29613*5^150763+4105380Lelio R Paula11/2014
296212^97643+91105375Lelio R Paula02/2017
29636*5^150744-7105367Lelio R Paula11/2014
29642^349996-112169105360Enzo Doria06/2014
296511^101142-1080105329Enzo Doria12/2012
2966(68*10^105320-41)/9105321Robert Price10/2013
29673^220712-9934105307Enzo Doria05/2014
29687*10^105296+9105297Robert Price09/2015
29692^349739+1873373105282Enzo Doria06/2016
29707^124574+24105278Lelio R Paula11/2016
29712^349708-20957105273Enzo Doria06/2013
29722^349649-20469105255Enzo Doria06/2013
29732^349607-20109105243Enzo Doria06/2013
29742^349594-19085105239Enzo Doria05/2013
29752^349530+1874479105220Enzo Doria06/2016
2976(3^220528+8)/8081105215Lelio R Paula12/2013
29773^220464-112852105189Enzo Doria07/2014
29782^349419-17349105186Enzo Doria05/2013
29792^349400-2579105180Yves Minet07/2014
29808*5^150471+3105176Lelio R Paula11/2014
2981655^37342+37342^655105165Norbert Schneider08/2018
298213^94403+94105160Lelio R Paula12/2016
29832^349301-112309105151Enzo Doria06/2014
29849*2^349220+5105127Lelio R Paula09/2014
29857*3^220317+8105119Lelio R Paula09/2014
29867^124386+88105119Lelio R Paula11/2016
29872^349171-19657105111Enzo Doria06/2013
2988(2^(6*58185+1)-5)/3105093Kevin Acres11/2013
2989(2^349111-5)/3105093Lelio R Paula12/2013
2990675^37142+37142^675105087Norbert Schneider08/2018
29912^348981-2797573105054Enzo Doria04/2016
29922^348869-6555105021Lelio R Paula01/2017
29935^150217+78104998Lelio R Paula11/2016
29942^348703-113005104971Enzo Doria06/2014
29962^348612-809104943Yves Minet05/2013
2995(73*10^104942-1)/9104943Robert Price01/2015
29972^348583-350407104934Enzo Doria06/2015
29982^348531-949104919Yves Minet05/2012
299920^80636-59104910Lelio R Paula12/2016
30002^348437+35104890Lelio R Paula09/2011


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: December, 17 2018 20:37 (Time in France)

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