PRP Records

Probable Primes Top 10000

(300940 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 ?
725115^89903-26105735Lelio R Paula02/2017
72532^351213-73105726Lelio R Paula10/2011
7252(2^351214+1210)/2105726Stefano Morozzi09/2020
72542^351192-4589105720Yves Minet07/2011
725520^81250-33105709Lelio R Paula12/2016
7256(2^351133+3530)/2105702Stefano Morozzi09/2020
7257(2^351103+534)/2105693Stefano Morozzi09/2020
72582^351076-113159105685Enzo Doria07/2014
725993^53688-2105684Lelio R Paula09/2013
72602^351060-4559105680Yves Minet07/2011
7261((10^52836-1)*10000/9+5927)*10^52836+(10^52836-1)/9105676Hans Havermann08/2019
726211^101473-750105674Enzo Doria11/2012
72633*5^151181-8105672Lelio R Paula11/2014
726415^89831-34105650Lelio R Paula02/2017
726611^101448-360105648Enzo Doria08/2012
72653*7^125011+4105648Lelio R Paula11/2014
72672^350943-113269105645Enzo Doria07/2014
72682*10^105636-91105637Robert Price04/2020
726924231^22880+22880^24231105634Hans Havermann09/2020
727035296^983+983^35296105626Hans Havermann09/2020
72712^350868-19725105622Enzo Doria06/2013
72722^350858-59291105619Enzo Doria10/2015
7273V(758484)/1516967/19720583105618Serge Batalov07/2024
72742^350851+135105617Lelio R Paula10/2011
72752^350841-741105614Lelio R Paula01/2017
72763*10^105582+77105583Robert Price09/2018
727724915^17284+17284^24915105581Hans Havermann09/2020
7278(5*10^105576-53)/3105577Robert Price09/2020
72798*10^105571+3105572Robert Price08/2015
72802^350674-78557105564Jorge Menendez03/2018
72812*5^151026-3105563Lelio R Paula11/2014
7282(2^350702+5)/34264674063105562Lelio R Paula12/2013
72836^135647-5^135647105554Jean-Louis Charton02/2009
72843^221211+236105545Lelio R Paula11/2016
7285(32*10^105530-77)/9105531Robert Price06/2018
728610^105515+33105516Lelio R Paula11/2016
728724644^19125+19125^24644105516Hans Havermann10/2020
728810^105515-41033105515Patrick De Geest12/2016
7289(29*2^350473-1)/267927105499Lelio R Paula03/2014
72902^350455-430567105498Harrison Mesh06/2022
729117^85732-72105489Lelio R Paula01/2017
7292(2^350399+3618)/2105481Stefano Morozzi09/2020
7293(2^350379+1010)/2105475Stefano Morozzi09/2020
72942^350356+24241105468Enzo Doria10/2023
729525233^15118+15118^25233105462Hans Havermann09/2020
729626261^10366+10366^26261105454Hans Havermann09/2020
72972^350307-110329105453Enzo Doria05/2014
72982^350253-20365105437Enzo Doria06/2013
7299(3*29^72089-1075)/4105423Curtis Bright05/2015
7300(2^350187+2658)/2105417Stefano Morozzi09/2020
73014*10^105415-69105416Robert Price01/2022
730221^79725-22105414Anonymous09/2024
7303(22*10^105407+179)/3105408Robert Price02/2022
73042^350139-109009105403Enzo Doria04/2014
7305(2^350129+3026)/2105400Stefano Morozzi09/2020
7306(2^350097+2070)/2105390Stefano Morozzi09/2020
73073*5^150763+4105380Lelio R Paula11/2014
730812^97643+91105375Lelio R Paula02/2017
73096*5^150744-7105367Lelio R Paula11/2014
7310(2^350018+2074)/2105366Stefano Morozzi09/2020
73114*10^105364-39105365Robert Price09/2020
73132^349996-112169105360Enzo Doria06/2014
7312(2^349997+3702)/2105360Stefano Morozzi09/2020
7314(418*10^105343+23)/9105345Robert Price02/2020
731525490^13563+13563^25490105334Hans Havermann10/2020
731611^101142-1080105329Enzo Doria12/2012
7317(68*10^105320-41)/9105321Robert Price10/2013
731824800^17649+17649^24800105319Hans Havermann09/2020
73193^220712-9934105307Enzo Doria05/2014
73207*10^105296+9105297Robert Price09/2015
732189*10^105284-7105286Robert Price04/2020
73222^349739+1873373105282Enzo Doria06/2016
73237^124574+24105278Lelio R Paula11/2016
73242^349708-20957105273Enzo Doria06/2013
732534115^1218+1218^34115105267Hans Havermann09/2020
732624029^24029-24020^24020105265Henri Lifchitz09/2024
73272^349649-20469105255Enzo Doria06/2013
73282^349607-20109105243Enzo Doria06/2013
7329(85*10^105242+473)/9105243Robert Price01/2020
73302^349594-19085105239Enzo Doria05/2013
73312^349530+1874479105220Enzo Doria06/2016
7332(3^220528+8)/8081105215Lelio R Paula12/2013
7333(106*10^105199+17)/3105201Robert Price04/2021
7334(2^349452+3570)/2105196Stefano Morozzi09/2020
73353^220464-112852105189Enzo Doria07/2014
73362^349419-17349105186Enzo Doria05/2013
73372^349400-2579105180Yves Minet07/2014
73388*5^150471+3105176Lelio R Paula11/2014
7339(2^349359+2298)/2105168Stefano Morozzi02/2021
7340655^37342+37342^655105165Norbert Schneider08/2018
734113^94403+94105160Lelio R Paula12/2016
73422^349301-112309105151Enzo Doria06/2014
734330291^2960+2960^30291105149Hans Havermann09/2020
734427350^6981+6981^27350105132Hans Havermann09/2020
73469*2^349220+5105127Lelio R Paula09/2014
7345(2^349225+3122)/2105127Stefano Morozzi09/2020
73477*3^220317+8105119Lelio R Paula09/2014
73487^124386+88105119Lelio R Paula11/2016
7349(2^349197+570)/2105119Stefano Morozzi09/2020
73502^349171-19657105111Enzo Doria06/2013
7351(2^349115+590)/2105094Stefano Morozzi09/2020
7352(2^(6*58185+1)-5)/3105093Kevin Acres11/2013
7353(2^349111-5)/3105093Lelio R Paula12/2013
7354675^37142+37142^675105087Norbert Schneider08/2018
73552^348981-2797573105054Enzo Doria04/2016
7356(445^39667+1)/446105050Jinyuan Wang05/2024
73572^348869-6555105021Lelio R Paula01/2017
735810^105003-17319105003Alfred Reich08/2024
73595^150217+78104998Lelio R Paula11/2016
7360(88*10^104989-1)/3104991Robert Price04/2020
7361(28*10^104972+149)/3104973Robert Price12/2019
736224927^16262+16262^24927104972Hans Havermann10/2020
73632^348703-113005104971Enzo Doria06/2014
7364(191*10^104956-17)/3104958Robert Price11/2021
73652^348612-809104943Yves Minet05/2013
7366(73*10^104942-1)/9104943Robert Price01/2015
73672^348583-350407104934Enzo Doria06/2015
73682^348531-949104919Yves Minet05/2012
736920^80636-59104910Lelio R Paula12/2016
73708*10^104893-13104894Robert Price08/2019
73722^348437+35104890Lelio R Paula09/2011
737125208^14487+14487^25208104890Hans Havermann09/2020
73732^348348+135104864Lelio R Paula09/2011
7374(29*10^104858+349)/9104859Robert Price06/2021
73756*10^104852-31104853Robert Price07/2020
7377(2^348284+9)/25104843Lelio R Paula12/2013
737675^55914-74104843Norbert Schneider01/2015
73782^348268+255255104840Lelio R Paula01/2017
737935540^891+891^35540104839Hans Havermann09/2020
73805^149985-52104836Lelio R Paula11/2016
73812^348224-20249104826Enzo Doria06/2013
7382(2^348217+2522)/2104824Stefano Morozzi09/2020
73832^348212-20105104823Enzo Doria06/2013
738424647^17898+17898^24647104819Hans Havermann10/2020
738520^80562+19104814Lelio R Paula12/2016
73862*10^104811-87104812Robert Price04/2018
73872^348149-20053104804Enzo Doria06/2013
73882^348095-171104788Lelio R Paula09/2011
738925383^13412+13412^25383104769Hans Havermann09/2020
73902^348003-20377104760Enzo Doria06/2013
739126^74036-27104759Anonymous09/2024
73932^347994-741104757Lelio R Paula12/2016
7392(2^347993+2234)/2104757Stefano Morozzi01/2021
7394(2^347990+790)/2104756Stefano Morozzi09/2020
739525137^14702+14702^25137104756Hans Havermann09/2020
7396(13*2^347972-1)/282309104746Lelio R Paula03/2014
739712883^25484-25484^12883104740Norbert Schneider08/2022
73982^347910-109937104732Enzo Doria04/2014
7399(88*10^104709-637)/9104710Robert Price11/2020
7400(13*10^104702+71)/3104703Robert Price06/2021
74015^149794+28104702Lelio R Paula11/2016
7402105^51800-2104698Lelio R Paula10/2017
7403(16^86939+3^86939)/19104684Robert Price06/2013
7404(15^89009-1)/14104682Paul Bourdelais03/2010
74052^347731-18609104678Enzo Doria05/2013
74064*6^134519+7104677Lelio R Paula11/2014
7407(34*10^104672-259)/9104673Robert Price12/2021
740825321^13588+13588^25321104656Hans Havermann09/2020
74092^347625+5367104646Riley Fisher04/2023
74102^347612-18545104642Enzo Doria05/2013
74116^134465+95104635Lelio R Paula11/2016
7412(2^347588+3718)/2104635Stefano Morozzi09/2020
7413(166*10^104633-7)/3104635Robert Price11/2020
7414V(750972)/15019441104621Serge Batalov07/2024
74152^347517-17301104614Enzo Doria05/2013
7416(2^347493+3186)/2104606Stefano Morozzi09/2020
7417(2^347490+2574)/2104605Stefano Morozzi09/2020
74183^219222-310104596Lelio R Paula11/2016
741925993^10554+10554^25993104581Hans Havermann09/2020
7420(15*2^347399-1)/13104578Lelio R Paula03/2014
74212^347372-17853104570Enzo Doria05/2013
74222^347314+99104552Lelio R Paula09/2011
74232^347300-22233104548Enzo Doria06/2013
74242^347287-19845104544Enzo Doria06/2013
74252^347258-231191104536Harrison Mesh06/2022
7426(31*2^347254-1)/891104533Lelio R Paula03/2014
74275*F(250091)*(F(250091)-1)+1104532Serge Batalov04/2015
74287*2^347239-3104531Lelio R Paula09/2014
7429(3^219098-8)/514147439969104525Lelio R Paula12/2013
74305*3^219047+8104513Lelio R Paula09/2014
74312^347148-109073104502Enzo Doria04/2014
74322^347129-20145104497Enzo Doria06/2013
74334*10^104461-57104462Robert Price10/2018
74342^346999+198831104458Stefano Morozzi11/2024
74352^346996+166273104457Stefano Morozzi11/2024
74362^346997+105755104457Stefano Morozzi11/2024
74372^346997+115259104457Stefano Morozzi11/2024
74382^346992+97515104456Stefano Morozzi11/2024
74392^346992+169593104456Stefano Morozzi11/2024
74402^346994+182215104456Stefano Morozzi11/2024
74412^346994+187933104456Stefano Morozzi11/2024
7442(7*10^(2*52227+1)+9*10^52227-7)/9104455Robert Price10/2023
7445(2^346989+590)/2104454Stefano Morozzi09/2020
74432^346988+295104454Stefano Morozzi11/2024
74442^346988+47241104454Stefano Morozzi11/2024
74462^346983+4203104453Stefano Morozzi11/2024
74472^346983+119259104453Stefano Morozzi11/2024
74482^346983+47729104453Stefano Morozzi11/2024
74492^346985+124437104453Stefano Morozzi11/2024
74502^346979+72443104452Stefano Morozzi11/2024
74512^346980+167731104452Stefano Morozzi11/2024
74522^346978+64933104451Stefano Morozzi11/2024
74532^346974+105865104450Stefano Morozzi11/2024
74542^346972+95343104449Stefano Morozzi11/2024
74552^346966+63519104448Stefano Morozzi11/2024
74562^346963+42825104447Stefano Morozzi11/2024
74572^346963+140153104447Stefano Morozzi11/2024
74582^346965+144537104447Stefano Morozzi11/2024
74592^346962+128917104446Stefano Morozzi11/2024
74602^346956+110455104445Stefano Morozzi11/2024
74612^346956+72711104445Stefano Morozzi11/2024
74622^346954+178093104444Stefano Morozzi11/2024
74632^346955+46205104444Stefano Morozzi11/2024
74642^346954+186043104444Stefano Morozzi11/2024
74652^346949+140865104443Stefano Morozzi11/2024
74662^346950+79857104443Stefano Morozzi11/2024
74672^346951+161939104443Stefano Morozzi11/2024
74682^346950+143647104443Stefano Morozzi11/2024
74692^346950+103369104443Stefano Morozzi11/2024
74702^346952+128895104443Stefano Morozzi11/2024
74712^346946+106593104442Stefano Morozzi11/2024
74722^346947+63431104442Stefano Morozzi11/2024
74732^346947+75735104442Stefano Morozzi11/2024
74742^346948+135547104442Stefano Morozzi11/2024
74752^346944+20295104441Stefano Morozzi11/2024
74762^346944+93783104441Stefano Morozzi11/2024
74772^346939+116879104440Stefano Morozzi11/2024
74782^346939+138489104440Stefano Morozzi11/2024
74792^346940+40675104440Stefano Morozzi11/2024
74802^346942+108495104440Stefano Morozzi11/2024
74812^346942+137535104440Stefano Morozzi11/2024
74822^346936+78235104439Stefano Morozzi11/2024
74832^346936+156271104439Stefano Morozzi11/2024
74842^346937+180909104439Stefano Morozzi11/2024
74852^346938+159885104439Stefano Morozzi11/2024
74862^346933+7865104438Stefano Morozzi11/2024
74872^346933+119759104438Stefano Morozzi11/2024
74882^346934+187797104438Stefano Morozzi11/2024
74892^346935+198629104438Stefano Morozzi11/2024
74902^346929+85449104437Stefano Morozzi11/2024
74912^346929+155487104437Stefano Morozzi11/2024
74922^346931+60719104437Stefano Morozzi11/2024
74932^346932+49215104437Stefano Morozzi11/2024
74942^346927+65709104436Stefano Morozzi11/2024
74952^346928+126963104436Stefano Morozzi11/2024
74962^346928+143721104436Stefano Morozzi11/2024
74972^346923+73001104435Stefano Morozzi11/2024
74982^346924+28671104435Stefano Morozzi11/2024
74992^346924+58657104435Stefano Morozzi11/2024
75002^346924+173475104435Stefano Morozzi11/2024


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: February, 10 2025 11:16 (Time in France)

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