PRP Records

Probable Primes Top 10000

(252932 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 ?
30014*10^106892-3106893Robert Price10/2015
3002(66^58741+1)/67106881Paul Bourdelais08/2017
30032^354946-3106850M. Frind & P. Underwood08/2002
30042^354873-18693106828Enzo Doria05/2013
30052^354828+4257106814Lelio R Paula01/2017
3006436^40459+40459^436106791Norbert Schneider03/2019
3007(21^80761+1)/22106783Paul Bourdelais03/2010
30082^354640-354640+1106758Robert Price10/2014
30092^354585+95106741Lelio R Paula10/2011
30102^354553+189106732Lelio R Paula10/2011
30112^354514-109031106720Enzo Doria04/2014
30122^354509-109465106718Enzo Doria04/2014
3013(15*2^354478-1)/26983106706Lelio R Paula03/2014
301415^90710+28106684Lelio R Paula04/2017
30157^126237+34106683Lelio R Paula03/2017
30162^354385-115315106681Enzo Doria06/2015
30172^354327-19305106664Enzo Doria06/2013
3018(35*10^106649+1)/9106650Serge Batalov11/2010
301910^106636+97106637Lelio R Paula02/2017
302010^106636-22923106636Patrick De Geest03/2017
30212^354220-57106631Lelio R Paula10/2011
30222^354157-17041106612Enzo Doria05/2013
302312^98778+73106600Lelio R Paula02/2017
30242^354064+1870651106584Enzo Doria05/2016
30252^353992-57106563Lelio R Paula10/2011
3026NSW(139160)106535Robert Price12/2018
3027(7*10^106516+113)/3106517Robert Price02/2018
30282^353832-1853849106515Enzo Doria09/2015
3029(7^126037-1)/6106513Paul Bourdelais09/2008
30302^353794-18453106503Enzo Doria05/2013
30312^353728+7695106483Lelio R Paula01/2017
30322^353672-303106466Yves Minet02/2012
30336^136811+101106460Lelio R Paula02/2017
30342^353641+1871981106457Enzo Doria05/2016
3035(8*10^106454-29)/3106455Robert Price07/2018
30362^353553+54615106431Lelio R Paula01/2017
30372^353544-18897106428Enzo Doria05/2013
30386^136729-133106396Lelio R Paula02/2017
30392^353418+1605106390Lelio R Paula01/2017
30402^353387+65106381Lelio R Paula10/2011
30412^353372+74311106376Enzo Doria04/2016
30422^353344-3693106368Yves Minet03/2017
30442^353277-20089106347Enzo Doria06/2013
30432^353275+72173106347Enzo Doria04/2016
30452^353268-17705106345Enzo Doria05/2013
30462^353267-19857106344Enzo Doria06/2013
3047(46*10^106343+143)/9106344Robert Price01/2019
3048222748^3+3^222748106278Anatoly F. Selevich12/2010
3049(9179*2^353019-1)/9106273Lelio R Paula05/2015
30502^353025+72257106272Enzo Doria04/2016
30512^352932-20345106244Enzo Doria06/2013
3052(2^353011-3)/745325861246794515484535106244Lelio R Paula12/2013
30532^352883-187106229Lelio R Paula10/2011
305420^81649-19^81649106228Jean-Louis Charton03/2011
3055(55*10^106222+377)/9106223Robert Price02/2019
30562^352814-131106208Lelio R Paula10/2011
30572^352752+73951106189Enzo Doria04/2016
30586^136434+5106167Lelio R Paula11/2014
30597*5^151872-8106155Lelio R Paula11/2014
3060105^52520-2106153Lelio R Paula10/2017
30612^352601-1604809106144Enzo Doria05/2015
306212^98353-43106141Lelio R Paula02/2017
30632^352585-18901106139Enzo Doria05/2013
3064(2^352554-3)/193106128Lelio R Paula12/2013
30652^352540+15015106126Lelio R Paula01/2017
30662^352524-3149106121Yves Minet10/2014
30672^352486-1858781106109Enzo Doria04/2016
30682^352444+12705106097Lelio R Paula01/2017
30692^352228-18953106032Enzo Doria05/2013
30702^352107+1872533105995Enzo Doria05/2016
30712^352066-2591105983Yves Minet07/2014
30722^352030+715105972Lelio R Paula10/2011
30739*6^136176-5105967Lelio R Paula11/2014
307417099*2^351991+58329105965Paul Vanderveen12/2017
3075155^48377+2105962Lelio R Paula08/2013
30762^351865+1869707105922Enzo Doria05/2016
30772^351831+23105912Lelio R Paula10/2011
30789*2^351784-5105899Lelio R Paula09/2014
30792^351671-112387105864Enzo Doria06/2014
30802^351669-109501105863Enzo Doria04/2014
30812^351644+74731105856Enzo Doria04/2016
308213^95025-42105853Lelio R Paula12/2016
30832^351599+15015105842Lelio R Paula01/2017
308419^82763+90105834Lelio R Paula01/2017
3085(9179*2^351540-1)/221105826Lelio R Paula05/2015
308620^81329-51105812Lelio R Paula01/2017
3087(5*10^105811+211)/9105811Robert Price02/2018
30882^351483+28425105807Lelio R Paula01/2017
308915^89960+86105802Lelio R Paula02/2017
30902^351460-17289105801Enzo Doria05/2013
309119^82735+22105798Lelio R Paula01/2017
30922^351435-109077105793Enzo Doria04/2014
30932^351393+1089105780Lelio R Paula01/2017
30942^351364+72631105772Enzo Doria04/2016
30952^351305+1872467105754Enzo Doria05/2016
30963^221649+16105754Lelio R Paula11/2016
30978*3^221637-5105749Lelio R Paula09/2014
30982^351279-2780449105746Enzo Doria03/2016
309915^89903-26105735Lelio R Paula02/2017
31002^351213-73105726Lelio R Paula10/2011
31012^351192-4589105720Yves Minet07/2011
310220^81250-33105709Lelio R Paula12/2016
31032^351076-113159105685Enzo Doria07/2014
310493^53688-2105684Lelio R Paula09/2013
31052^351060-4559105680Yves Minet07/2011
310611^101473-750105674Enzo Doria11/2012
31073*5^151181-8105672Lelio R Paula11/2014
310815^89831-34105650Lelio R Paula02/2017
311011^101448-360105648Enzo Doria08/2012
31093*7^125011+4105648Lelio R Paula11/2014
31112^350943-113269105645Enzo Doria07/2014
31122^350868-19725105622Enzo Doria06/2013
31132^350858-59291105619Enzo Doria10/2015
31142^350851+135105617Lelio R Paula10/2011
31152^350841-741105614Lelio R Paula01/2017
31163*10^105582+77105583Robert Price09/2018
31178*10^105571+3105572Robert Price08/2015
31182^350674-78557105564Jorge Menendez03/2018
31192*5^151026-3105563Lelio R Paula11/2014
3120(2^350702+5)/34264674063105562Lelio R Paula12/2013
31216^135647-5^135647105554Jean-Louis Charton02/2009
31223^221211+236105545Lelio R Paula11/2016
3123(32*10^105530-77)/9105531Robert Price06/2018
312410^105515+33105516Lelio R Paula11/2016
312510^105515-41033105515Patrick De Geest12/2016
3126(29*2^350473-1)/267927105499Lelio R Paula03/2014
312717^85732-72105489Lelio R Paula01/2017
31282^350307-110329105453Enzo Doria05/2014
31292^350253-20365105437Enzo Doria06/2013
3130(3*29^72089-1075)/4105423Curtis Bright05/2015
31312^350139-109009105403Enzo Doria04/2014
31323*5^150763+4105380Lelio R Paula11/2014
313312^97643+91105375Lelio R Paula02/2017
31346*5^150744-7105367Lelio R Paula11/2014
31352^349996-112169105360Enzo Doria06/2014
313611^101142-1080105329Enzo Doria12/2012
3137(68*10^105320-41)/9105321Robert Price10/2013
31383^220712-9934105307Enzo Doria05/2014
31397*10^105296+9105297Robert Price09/2015
31402^349739+1873373105282Enzo Doria06/2016
31417^124574+24105278Lelio R Paula11/2016
31422^349708-20957105273Enzo Doria06/2013
31432^349649-20469105255Enzo Doria06/2013
31442^349607-20109105243Enzo Doria06/2013
31452^349594-19085105239Enzo Doria05/2013
31462^349530+1874479105220Enzo Doria06/2016
3147(3^220528+8)/8081105215Lelio R Paula12/2013
31483^220464-112852105189Enzo Doria07/2014
31492^349419-17349105186Enzo Doria05/2013
31502^349400-2579105180Yves Minet07/2014
31518*5^150471+3105176Lelio R Paula11/2014
3152655^37342+37342^655105165Norbert Schneider08/2018
315313^94403+94105160Lelio R Paula12/2016
31542^349301-112309105151Enzo Doria06/2014
31559*2^349220+5105127Lelio R Paula09/2014
31567*3^220317+8105119Lelio R Paula09/2014
31577^124386+88105119Lelio R Paula11/2016
31582^349171-19657105111Enzo Doria06/2013
3159(2^(6*58185+1)-5)/3105093Kevin Acres11/2013
3160(2^349111-5)/3105093Lelio R Paula12/2013
3161675^37142+37142^675105087Norbert Schneider08/2018
31622^348981-2797573105054Enzo Doria04/2016
31632^348869-6555105021Lelio R Paula01/2017
31645^150217+78104998Lelio R Paula11/2016
31652^348703-113005104971Enzo Doria06/2014
31672^348612-809104943Yves Minet05/2013
3166(73*10^104942-1)/9104943Robert Price01/2015
31682^348583-350407104934Enzo Doria06/2015
31692^348531-949104919Yves Minet05/2012
317020^80636-59104910Lelio R Paula12/2016
31712^348437+35104890Lelio R Paula09/2011
31722^348348+135104864Lelio R Paula09/2011
3174(2^348284+9)/25104843Lelio R Paula12/2013
317375^55914-74104843Norbert Schneider01/2015
31752^348268+255255104840Lelio R Paula01/2017
31765^149985-52104836Lelio R Paula11/2016
31772^348224-20249104826Enzo Doria06/2013
31782^348212-20105104823Enzo Doria06/2013
317920^80562+19104814Lelio R Paula12/2016
31802*10^104811-87104812Robert Price04/2018
31812^348149-20053104804Enzo Doria06/2013
31822^348095-171104788Lelio R Paula09/2011
31832^348003-20377104760Enzo Doria06/2013
31842^347994-741104757Lelio R Paula12/2016
3185(13*2^347972-1)/282309104746Lelio R Paula03/2014
31862^347910-109937104732Enzo Doria04/2014
31875^149794+28104702Lelio R Paula11/2016
3188105^51800-2104698Lelio R Paula10/2017
3189(16^86939+3^86939)/19104684Robert Price06/2013
3190(15^89009-1)/14104682Paul Bourdelais03/2010
31912^347731-18609104678Enzo Doria05/2013
31924*6^134519+7104677Lelio R Paula11/2014
31932^347612-18545104642Enzo Doria05/2013
31946^134465+95104635Lelio R Paula11/2016
31952^347517-17301104614Enzo Doria05/2013
31963^219222-310104596Lelio R Paula11/2016
3197(15*2^347399-1)/13104578Lelio R Paula03/2014
31982^347372-17853104570Enzo Doria05/2013
31992^347314+99104552Lelio R Paula09/2011
32002^347300-22233104548Enzo Doria06/2013
32012^347287-19845104544Enzo Doria06/2013
3202(31*2^347254-1)/891104533Lelio R Paula03/2014
32035*F(250091)*(F(250091)-1)+1104532Serge Batalov04/2015
32047*2^347239-3104531Lelio R Paula09/2014
3205(3^219098-8)/514147439969104525Lelio R Paula12/2013
32065*3^219047+8104513Lelio R Paula09/2014
32072^347148-109073104502Enzo Doria04/2014
32082^347129-20145104497Enzo Doria06/2013
32094*10^104461-57104462Robert Price10/2018
32102^346923-19585104435Enzo Doria05/2013
3211(11*2^346864-1)/175104416Lelio R Paula03/2014
32122^346854+346854^2+1104414Robert Price06/2014
32132^346834+11715104408Lelio R Paula04/2015
321479^55009+78104387Norbert Schneider02/2015
32153^218744+58104368Lelio R Paula11/2016
32162^346649+65104352Lelio R Paula09/2011
32172^346638-17265104349Enzo Doria05/2013
32185*10^104326+77104327Robert Price12/2018
32202^346527-111817104316Enzo Doria05/2014
32196^134055+101104316Lelio R Paula11/2016
32216^134013+163104283Lelio R Paula11/2016
322218^83049-89104250Lelio R Paula01/2017
32232^346213+484049104221Enzo Doria04/2017
322418^83021-91104214Lelio R Paula01/2017
322510^104212+128779104213Patrick De Geest05/2016
322610^104212+237447104213Patrick De Geest05/2016
322710^104212+242139104213Patrick De Geest05/2016
322810^104212+269199104213Patrick De Geest05/2016
3229(10^104212-71)/1104212Serge Batalov12/2014
32302^346078+7695104180Lelio R Paula12/2016
32312^346055-19537104173Enzo Doria05/2013
3232(3*2^346057+1)/77104173Lelio R Paula12/2013
32332^346037-20125104168Enzo Doria06/2013
3234(34*10^104168-7)/9/13/551179104162Makoto Morimoto05/2016
32356^133854-17993104159Enzo Doria03/2013
32362^345990+1874239104154Enzo Doria06/2016
32372^345988-20373104153Enzo Doria06/2013
3238(26*10^104132-503)/9104133Robert Price07/2018
32393*5^148968+8104125Lelio R Paula11/2014
3240(7*10^104113+53)/3104114Robert Price05/2018
3241p(21253)#/2+8104113Robert Price01/2017
3242322^41507+41507^322104094Norbert Schneider12/2014
32436^133768-17423104092Enzo Doria03/2013
32442^345786-19557104092Enzo Doria05/2013
3245171^46606-2104072Lelio R Paula10/2017
32462^345704-149104068Lelio R Paula09/2011
32476^133704-17273104042Enzo Doria02/2013
3248(3*2^345590-1)/23104033Lelio R Paula03/2014
3249(19*2^345590+1)/33859104030Lelio R Paula12/2013
32502^345547+11104021Lelio R Paula09/2011


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: June, 18 2019 07:14 (Time in France)

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