PRP Records

Probable Primes Top 10000

(218736 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 ?
27512^354157-17041106612Enzo Doria05/2013
275212^98778+73106600Lelio R Paula02/2017
27532^354064+1870651106584Enzo Doria05/2016
27542^353992-57106563Lelio R Paula10/2011
2755(7*10^106516+113)/3106517Robert Price02/2018
27562^353832-1853849106515Enzo Doria09/2015
2757(7^126037-1)/6106513Paul Bourdelais09/2008
27582^353794-18453106503Enzo Doria05/2013
27592^353728+7695106483Lelio R Paula01/2017
27602^353672-303106466Yves Minet02/2012
27616^136811+101106460Lelio R Paula02/2017
27622^353641+1871981106457Enzo Doria05/2016
2763(8*10^106454-29)/3106455Robert Price07/2018
27642^353553+54615106431Lelio R Paula01/2017
27652^353544-18897106428Enzo Doria05/2013
27666^136729-133106396Lelio R Paula02/2017
27672^353418+1605106390Lelio R Paula01/2017
27682^353387+65106381Lelio R Paula10/2011
27692^353372+74311106376Enzo Doria04/2016
27702^353344-3693106368Yves Minet03/2017
27712^353277-20089106347Enzo Doria06/2013
27722^353275+72173106347Enzo Doria04/2016
27732^353268-17705106345Enzo Doria05/2013
27742^353267-19857106344Enzo Doria06/2013
2775222748^3+3^222748106278Anatoly F. Selevich12/2010
2776(9179*2^353019-1)/9106273Lelio R Paula05/2015
27772^353025+72257106272Enzo Doria04/2016
27782^352932-20345106244Enzo Doria06/2013
2779(2^353011-3)/745325861246794515484535106244Lelio R Paula12/2013
27802^352883-187106229Lelio R Paula10/2011
278120^81649-19^81649106228Jean-Louis Charton03/2011
27822^352814-131106208Lelio R Paula10/2011
27832^352752+73951106189Enzo Doria04/2016
27846^136434+5106167Lelio R Paula11/2014
27857*5^151872-8106155Lelio R Paula11/2014
2786105^52520-2106153Lelio R Paula10/2017
27872^352601-1604809106144Enzo Doria05/2015
278812^98353-43106141Lelio R Paula02/2017
27892^352585-18901106139Enzo Doria05/2013
2790(2^352554-3)/193106128Lelio R Paula12/2013
27912^352540+15015106126Lelio R Paula01/2017
27922^352524-3149106121Yves Minet10/2014
27932^352486-1858781106109Enzo Doria04/2016
27942^352444+12705106097Lelio R Paula01/2017
27952^352228-18953106032Enzo Doria05/2013
27962^352107+1872533105995Enzo Doria05/2016
27972^352066-2591105983Yves Minet07/2014
27982^352030+715105972Lelio R Paula10/2011
27999*6^136176-5105967Lelio R Paula11/2014
280017099*2^351991+58329105965Paul Vanderveen12/2017
2801155^48377+2105962Lelio R Paula08/2013
28022^351865+1869707105922Enzo Doria05/2016
28032^351831+23105912Lelio R Paula10/2011
28049*2^351784-5105899Lelio R Paula09/2014
28052^351671-112387105864Enzo Doria06/2014
28062^351669-109501105863Enzo Doria04/2014
28072^351644+74731105856Enzo Doria04/2016
280813^95025-42105853Lelio R Paula12/2016
28092^351599+15015105842Lelio R Paula01/2017
281019^82763+90105834Lelio R Paula01/2017
2811(9179*2^351540-1)/221105826Lelio R Paula05/2015
281220^81329-51105812Lelio R Paula01/2017
2813(5*10^105811+211)/9105811Robert Price02/2018
28142^351483+28425105807Lelio R Paula01/2017
281515^89960+86105802Lelio R Paula02/2017
28162^351460-17289105801Enzo Doria05/2013
281719^82735+22105798Lelio R Paula01/2017
28182^351435-109077105793Enzo Doria04/2014
28192^351393+1089105780Lelio R Paula01/2017
28202^351364+72631105772Enzo Doria04/2016
28212^351305+1872467105754Enzo Doria05/2016
28223^221649+16105754Lelio R Paula11/2016
28238*3^221637-5105749Lelio R Paula09/2014
28242^351279-2780449105746Enzo Doria03/2016
282515^89903-26105735Lelio R Paula02/2017
28262^351213-73105726Lelio R Paula10/2011
28272^351192-4589105720Yves Minet07/2011
282820^81250-33105709Lelio R Paula12/2016
28292^351076-113159105685Enzo Doria07/2014
283093^53688-2105684Lelio R Paula09/2013
28312^351060-4559105680Yves Minet07/2011
283211^101473-750105674Enzo Doria11/2012
28333*5^151181-8105672Lelio R Paula11/2014
283415^89831-34105650Lelio R Paula02/2017
283611^101448-360105648Enzo Doria08/2012
28353*7^125011+4105648Lelio R Paula11/2014
28372^350943-113269105645Enzo Doria07/2014
28382^350868-19725105622Enzo Doria06/2013
28392^350858-59291105619Enzo Doria10/2015
28402^350851+135105617Lelio R Paula10/2011
28412^350841-741105614Lelio R Paula01/2017
28428*10^105571+3105572Robert Price08/2015
28432^350674-78557105564Jorge Menendez03/2018
28442*5^151026-3105563Lelio R Paula11/2014
2845(2^350702+5)/34264674063105562Lelio R Paula12/2013
28466^135647-5^135647105554Jean-Louis Charton02/2009
28473^221211+236105545Lelio R Paula11/2016
2848(32*10^105530-77)/9105531Robert Price06/2018
284910^105515+33105516Lelio R Paula11/2016
285010^105515-41033105515Patrick De Geest12/2016
2851(29*2^350473-1)/267927105499Lelio R Paula03/2014
285217^85732-72105489Lelio R Paula01/2017
28532^350307-110329105453Enzo Doria05/2014
28542^350253-20365105437Enzo Doria06/2013
2855(3*29^72089-1075)/4105423Curtis Bright05/2015
28562^350139-109009105403Enzo Doria04/2014
28573*5^150763+4105380Lelio R Paula11/2014
285812^97643+91105375Lelio R Paula02/2017
28596*5^150744-7105367Lelio R Paula11/2014
28602^349996-112169105360Enzo Doria06/2014
286111^101142-1080105329Enzo Doria12/2012
2862(68*10^105320-41)/9105321Robert Price10/2013
28633^220712-9934105307Enzo Doria05/2014
28647*10^105296+9105297Robert Price09/2015
28652^349739+1873373105282Enzo Doria06/2016
28667^124574+24105278Lelio R Paula11/2016
28672^349708-20957105273Enzo Doria06/2013
28682^349649-20469105255Enzo Doria06/2013
28692^349607-20109105243Enzo Doria06/2013
28702^349594-19085105239Enzo Doria05/2013
28712^349530+1874479105220Enzo Doria06/2016
2872(3^220528+8)/8081105215Lelio R Paula12/2013
28733^220464-112852105189Enzo Doria07/2014
28742^349419-17349105186Enzo Doria05/2013
28752^349400-2579105180Yves Minet07/2014
28768*5^150471+3105176Lelio R Paula11/2014
287713^94403+94105160Lelio R Paula12/2016
28782^349301-112309105151Enzo Doria06/2014
28799*2^349220+5105127Lelio R Paula09/2014
28807*3^220317+8105119Lelio R Paula09/2014
28817^124386+88105119Lelio R Paula11/2016
28822^349171-19657105111Enzo Doria06/2013
2883(2^(6*58185+1)-5)/3105093Kevin Acres11/2013
2884(2^349111-5)/3105093Lelio R Paula12/2013
28852^348981-2797573105054Enzo Doria04/2016
28862^348869-6555105021Lelio R Paula01/2017
28875^150217+78104998Lelio R Paula11/2016
28882^348703-113005104971Enzo Doria06/2014
28902^348612-809104943Yves Minet05/2013
2889(73*10^104942-1)/9104943Robert Price01/2015
28912^348583-350407104934Enzo Doria06/2015
28922^348531-949104919Yves Minet05/2012
289320^80636-59104910Lelio R Paula12/2016
28942^348437+35104890Lelio R Paula09/2011
28952^348348+135104864Lelio R Paula09/2011
2896(2^348284+9)/25104843Lelio R Paula12/2013
289775^55914-74104843Norbert Schneider01/2015
28982^348268+255255104840Lelio R Paula01/2017
28995^149985-52104836Lelio R Paula11/2016
29002^348224-20249104826Enzo Doria06/2013
29012^348212-20105104823Enzo Doria06/2013
290220^80562+19104814Lelio R Paula12/2016
29032*10^104811-87104812Robert Price04/2018
29042^348149-20053104804Enzo Doria06/2013
29052^348095-171104788Lelio R Paula09/2011
29062^348003-20377104760Enzo Doria06/2013
29072^347994-741104757Lelio R Paula12/2016
2908(13*2^347972-1)/282309104746Lelio R Paula03/2014
29092^347910-109937104732Enzo Doria04/2014
29105^149794+28104702Lelio R Paula11/2016
2911105^51800-2104698Lelio R Paula10/2017
2912(16^86939+3^86939)/19104684Robert Price06/2013
2913(15^89009-1)/14104682Paul Bourdelais03/2010
29142^347731-18609104678Enzo Doria05/2013
29154*6^134519+7104677Lelio R Paula11/2014
29162^347612-18545104642Enzo Doria05/2013
29176^134465+95104635Lelio R Paula11/2016
29182^347517-17301104614Enzo Doria05/2013
29193^219222-310104596Lelio R Paula11/2016
2920(15*2^347399-1)/13104578Lelio R Paula03/2014
29212^347372-17853104570Enzo Doria05/2013
29222^347314+99104552Lelio R Paula09/2011
29232^347300-22233104548Enzo Doria06/2013
29242^347287-19845104544Enzo Doria06/2013
2925(31*2^347254-1)/891104533Lelio R Paula03/2014
29265*F(250091)*(F(250091)-1)+1104532Serge Batalov04/2015
29277*2^347239-3104531Lelio R Paula09/2014
2928(3^219098-8)/514147439969104525Lelio R Paula12/2013
29295*3^219047+8104513Lelio R Paula09/2014
29302^347148-109073104502Enzo Doria04/2014
29312^347129-20145104497Enzo Doria06/2013
29322^346923-19585104435Enzo Doria05/2013
2933(11*2^346864-1)/175104416Lelio R Paula03/2014
29342^346854+346854^2+1104414Robert Price06/2014
29352^346834+11715104408Lelio R Paula04/2015
293679^55009+78104387Norbert Schneider02/2015
29373^218744+58104368Lelio R Paula11/2016
29382^346649+65104352Lelio R Paula09/2011
29392^346638-17265104349Enzo Doria05/2013
29402^346527-111817104316Enzo Doria05/2014
29416^134055+101104316Lelio R Paula11/2016
29426^134013+163104283Lelio R Paula11/2016
294318^83049-89104250Lelio R Paula01/2017
29442^346213+484049104221Enzo Doria04/2017
294518^83021-91104214Lelio R Paula01/2017
294610^104212+128779104213Patrick De Geest05/2016
294710^104212+237447104213Patrick De Geest05/2016
294810^104212+242139104213Patrick De Geest05/2016
294910^104212+269199104213Patrick De Geest05/2016
2950(10^104212-71)/1104212Serge Batalov12/2014
29512^346078+7695104180Lelio R Paula12/2016
29522^346055-19537104173Enzo Doria05/2013
2953(3*2^346057+1)/77104173Lelio R Paula12/2013
29542^346037-20125104168Enzo Doria06/2013
2955(34*10^104168-7)/9/13/551179104162Makoto Morimoto05/2016
29566^133854-17993104159Enzo Doria03/2013
29572^345990+1874239104154Enzo Doria06/2016
29582^345988-20373104153Enzo Doria06/2013
2959(26*10^104132-503)/9104133Robert Price07/2018
29603*5^148968+8104125Lelio R Paula11/2014
2961(7*10^104113+53)/3104114Robert Price05/2018
2962p(21253)#/2+8104113Robert Price01/2017
2963322^41507+41507^322104094Norbert Schneider12/2014
29646^133768-17423104092Enzo Doria03/2013
29652^345786-19557104092Enzo Doria05/2013
2966171^46606-2104072Lelio R Paula10/2017
29672^345704-149104068Lelio R Paula09/2011
29686^133704-17273104042Enzo Doria02/2013
2969(3*2^345590-1)/23104033Lelio R Paula03/2014
2970(19*2^345590+1)/33859104030Lelio R Paula12/2013
29712^345547+11104021Lelio R Paula09/2011
29722^345504+723104008Lelio R Paula09/2011
29732^345498-20037104006Enzo Doria06/2013
297418^82854-37104005Lelio R Paula01/2017
29752^345486-109065104002Enzo Doria04/2014
29762^345487-1851507104002Enzo Doria08/2015
29772^345476+777103999Lelio R Paula09/2011
2978(5*2^345321-1)/3103953Lelio R Paula03/2014
2979(2^345267-9)/539049127103927Lelio R Paula12/2013
2980(78557*2^345163+1)/78589103905Lelio R Paula07/2014
29812^345106-112181103888Enzo Doria06/2014
29822^345079+99103880Lelio R Paula09/2011
298311^99736-1500103865Enzo Doria12/2012
29842^344842-20157103808Enzo Doria06/2013
2985(47*2^344822+1)/1071103801Lelio R Paula05/2015
29862^344802-20765103796Enzo Doria06/2013
29872^344794-3821103794Yves Minet05/2011
29882^344782-109103103790Enzo Doria04/2014
29893^217521-112292103784Enzo Doria06/2014
29902^344759-3505103783Lelio R Paula11/2016
29912^344735-147103776Lelio R Paula09/2011
2992L(496533)-p(496533)103770Robert Price02/2018
29932*10^103749-69103750Robert Price03/2018
2994(55459*2^344617+1)/3103745Lelio R Paula07/2014
29952^344607-108891103738Enzo Doria03/2014
29962^344541-19561103718Enzo Doria05/2013
2997(1017*2^344529-1)/569103714Lelio R Paula05/2015
2998(4*10^103703-1)/3103704Serge Batalov08/2009
29992^344444-455103688Yves Minet03/2012
3000(13*53^238539*617^9)/10^307661103673Hans Havermann06/2017


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: August, 14 2018 21:45 (Time in France)

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