PRP Records

Probable Primes Top 10000

(253476 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 ?
37512^333963+789100533Lelio R Paula08/2011
37522^333919-1840087100520Enzo Doria06/2015
37532^333911+72623100518Enzo Doria04/2016
375424605^12168+12168^24605100517Hans Havermann08/2018
375518^80064-67100503Lelio R Paula10/2016
37565^143742-48100472Lelio R Paula10/2016
375724095^14784+14784^24095100472Hans Havermann08/2018
37582^333757-112123100471Enzo Doria06/2014
375927358^4693+4693^27358100444Hans Havermann07/2018
37608*10^100439-51100440Robert Price08/2019
37612^333603-108861100425Enzo Doria03/2014
37629*7^118818-2100414Lelio R Paula11/2014
37632^333546-17097100408Enzo Doria05/2013
376417^81597+72100401Lelio R Paula10/2016
3765p(20559)#/2+8100384Robert Price01/2017
376611^96390-24100380Lelio R Paula10/2016
37674832563059*2^333333+30029100353Donovan Johnson01/2008
376823565^18136+18136^23565100353Hans Havermann07/2018
37692^333354+763100350Lelio R Paula08/2011
3770(25*10^100343-67)/3100344Robert Price06/2019
37712^333289-109483100330Enzo Doria04/2014
37722^333240-2790209100316Enzo Doria03/2016
377323601^17798+17798^23601100314Hans Havermann05/2018
3775(2^333227-2^166614+1)/510031111/2006
37742^333225+719100311Lelio R Paula08/2011
37762^333221-2785333100310Enzo Doria10/2015
377776^53332-75100308Norbert Schneider02/2015
37786^128892-17573100298Enzo Doria03/2013
3779(47*10^100283-119)/9100284Robert Price05/2019
37802^333105-113215100275Enzo Doria07/2014
3781(31*2^333102+1)/2375100272Lelio R Paula11/2013
37824*10^100257-83100258Robert Price10/2018
378317^81476-74100253Lelio R Paula10/2016
378423392^19207+19207^23392100199Hans Havermann06/2018
378517^81417-16100180Theodore Burton11/2005
37862^332739-113215100165Enzo Doria07/2014
37872^332730-1865621100162Enzo Doria03/2016
378891^51127-2100160Lelio R Paula09/2013
378915^85159-32100155Lelio R Paula10/2016
37906^128661+97100118Lelio R Paula10/2016
379119^78285+40100108Lelio R Paula07/2016
37926^128640+5100102Lelio R Paula11/2014
3793(14*10^100075+61)/3100076Robert Price12/2018
379428562^3189+3189^28562100072Hans Havermann05/2018
37956^128565-127100044Lelio R Paula08/2016
37962^332309-133100035Lelio R Paula02/2011
37972^332307+731100035Lelio R Paula07/2011
37982^332301+12927100033Lelio R Paula04/2013
379923406^18781+18781^23406100031Hans Havermann04/2018
38002^332277-4573100026Yves Minet03/2019
380112^92684-13100023Lelio R Paula07/2016
380278557*2^332193+55669100005Jorge Menendez04/2019
380378557*2^332192+72689100005Jorge Menendez04/2019
380410^100003+45799100004Stefano Morozzi04/2019
380510^100003+155461100004Stefano Morozzi04/2019
380610^100003+211389100004Stefano Morozzi04/2019
380710^100003+381027100004Stefano Morozzi04/2019
380810^100003+540703100004Stefano Morozzi04/2019
380910^100003+823977100004Stefano Morozzi04/2019
382110^100002+236023100003Stefano Morozzi05/2018
382210^100002+433741100003Stefano Morozzi05/2018
38102^332202+104659100003Stefano Morozzi04/2019
38112^332202+857539100003Stefano Morozzi04/2019
38122^332202+181773100003Stefano Morozzi04/2019
38132^332202+687543100003Stefano Morozzi04/2019
38142^332202+941595100003Stefano Morozzi04/2019
38152^332202+445813100003Stefano Morozzi04/2019
38162^332202+1599727100003Stefano Morozzi04/2019
38172^332202+1389567100003Stefano Morozzi04/2019
38182^332202+1206315100003Stefano Morozzi04/2019
38192^332202+1958647100003Stefano Morozzi04/2019
382010^100003-562857100003Patrick De Geest07/2019
3823(10^100002-1)/9-10^33441100002Akihiko Yoshida03/2018
3824(10^100002-1)/9-10^44692100002Akihiko Yoshida03/2018
382510^100002-249519100002Patrick De Geest07/2018
382610^100001+314199100002Patrick De Geest07/2018
388525206!+p(4114)100001Henri Lifchitz09/2005
388625206!-p(5447)100001Henri Lifchitz10/2005
388725206!-p(12402)100001Henri Lifchitz04/2006
388825206!-p(16290)100001Henri Lifchitz09/2006
388925206!-p(19647)100001Henri Lifchitz02/2007
38902^332194+11473100001Henri Lifchitz03/2007
387810^100000+342909100001Milton L. Brown12/2007
384210^100000+346579100001Robert Price04/2012
384310^100000+829767100001Robert Price05/2012
384410^100000+871899100001Robert Price05/2012
384510^100000+1475997100001Robert Price07/2012
383510^100000+1751769100001Robert Price08/2012
383610^100000+2155489100001Robert Price10/2012
383710^100000+2483527100001Robert Price12/2012
383810^100000+2503087100001Robert Price12/2012
383910^100000+2686179100001Robert Price12/2012
384010^100000+2688933100001Robert Price12/2012
384110^100000+3667159100001Robert Price08/2013
387910^100000+3938473100001Robert Price05/2015
388010^100000+3979761100001Robert Price05/2015
388110^100000+4293973100001Robert Price09/2015
388210^100000+4858267100001Robert Price12/2015
388310^100000+5113299100001Robert Price02/2016
388410^100000+5169411100001Robert Price02/2016
387010^100000+5354043100001Robert Price05/2016
387110^100000+5717979100001Robert Price05/2016
387210^100000+6080631100001Robert Price07/2016
387310^100000+6308469100001Robert Price07/2016
387410^100000+6512023100001Robert Price08/2016
387510^100000+6596557100001Robert Price08/2016
387610^100000+7115409100001Robert Price10/2016
387710^100000+7235803100001Robert Price10/2016
384910^100000+7867333100001Robert Price12/2016
385010^100000+8743093100001Robert Price02/2017
385110^100000+8955391100001Robert Price03/2017
385210^100000+9180019100001Robert Price03/2017
385310^100000+9225987100001Robert Price04/2017
385410^100000+9265587100001Robert Price04/2017
385510^100000+9287049100001Robert Price04/2017
385610^100000+9425053100001Robert Price05/2017
385710^100000+9450769100001Robert Price05/2017
385810^100000+9528747100001Robert Smith05/2017
385910^100000+9548071100001Robert Price06/2017
386010^100000+10064287100001Robert Price08/2017
386110^100000+10229569100001Robert Price10/2017
382710^100000+11187931100001Robert Price03/2018
382810^100000+11264721100001Robert Price04/2018
382910^100000+11477661100001Robert Price05/2018
383010^100000+11644653100001Robert Price07/2018
383110^100001-431439100001Patrick De Geest07/2018
383210^100000+11769399100001Robert Price08/2018
383310^100000+11848159100001Robert Price08/2018
383410^100000+11863467100001Robert Price08/2018
384610^100000+11992051100001Robert Price09/2018
38472^332196-1-2*29696100001Matt Stath11/2018
384810^100000+12363957100001Robert Price11/2018
38622^332196+1+2*17152100001Matt Stath12/2018
386310^100000+12778033100001Robert Price02/2019
386410^100000+13581679100001Robert Price05/2019
386510^100000+13613199100001Robert Price05/2019
386610^100000+13752327100001Robert Price05/2019
386710^100000+14139243100001Robert Price06/2019
386810^100000+14151057100001Robert Price06/2019
386910^100000+14218923100001Robert Price06/2019
389110^99999+309403100000Daniel Heuer01/2004
389210^100000-260199100000Patrick De Geest01/2010
389310^99999-5951199999Patrick De Geest07/2009
38942^332141-11307399985Enzo Doria07/2014
3896(3^209561+2)/72810125599978Lelio R Paula09/2013
389523827^15702+15702^2382799978Hans Havermann04/2018
38972^332085+186589799968Enzo Doria03/2016
3898(9787*2^332070-1)/93640236999959Lelio R Paula05/2015
38992^332023+19199949Lelio R Paula02/2011
39002^331938+7114999924Enzo Doria04/2016
39012^331932-7879599922Lelio R Paula09/2016
39022^331921+77199919Lelio R Paula01/2013
3903(3^209419-2)/513275599912Lelio R Paula09/2013
39042^331860-11498999900Enzo Doria05/2015
39052^331746-1165599866Lelio R Paula09/2016
390611^95891-2899861Lelio R Paula08/2016
3907(2^331694-5)/1199849Lelio R Paula10/2013
3908(3^209246+7)/6499834Lelio R Paula09/2013
390925062^9617+9617^2506299823Hans Havermann04/2018
391015^84866-5299811Lelio R Paula08/2016
391113^89600+3099810Lelio R Paula08/2016
391222950^22309+22309^2295099798Hans Havermann03/2018
39135^142772-3899794Lelio R Paula08/2016
3914(23*2^331459+1)/47599778Lelio R Paula11/2013
39152^331416-331416+199767Robert Price10/2014
39162^331256-5799718Lelio R Paula12/2012
391728192^3443+3443^2819299714Hans Havermann03/2018
39182^331185+73799697Lelio R Paula01/2013
3919(4*10^99693+149)/999693Robert Price03/2017
39202^331154+188052799688Enzo Doria10/2016
3922(19^77951+1)/2099679Paul Bourdelais03/2010
392124354^12385+12385^2435499679Hans Havermann03/2018
39232^331110+187045999675Enzo Doria05/2016
39245*2^331075+799665Lelio R Paula08/2014
392525776^7351+7351^2577699659Hans Havermann02/2018
3926(16*10^99656-31)/399657Robert Price03/2016
39272^330968+34599632Lelio R Paula09/2016
39292*5^142528-799624Lelio R Paula11/2014
39282^330942+7732999624Enzo Doria05/2016
393014^86914-9999615Lelio R Paula08/2016
3931(19*2^330902+1)/7799611Lelio R Paula11/2013
393222971^21692+21692^2297199610Hans Havermann03/2018
39332^330845+7168799595Enzo Doria04/2016
3934(23*2^330770+1)/399573Lelio R Paula11/2013
393524494^11613+11613^2449499567Hans Havermann03/2018
39362^330735+841599562Lelio R Paula09/2016
39372^330720+7407199557Enzo Doria04/2016
393831^66738-299531Lelio R Paula09/2013
39397*3^208567+499513Lelio R Paula08/2014
3940(13*10^99508+47)/399509Robert Price01/2017
39412^330553+77999507Lelio R Paula01/2013
394215^84606-9499505Lelio R Paula08/2016
39436^127858+4799493Lelio R Paula08/2016
39445^142337+4899490Lelio R Paula08/2016
39457^117724-2099489Lelio R Paula08/2016
3946(29*10^99474-17)/399475Erik Branger09/2014
3947(9*2^330407-1)/799463Lelio R Paula03/2014
3948(68*10^99441+7)/399443Robert Price03/2016
394946^59791-45^5979199418Jean-Louis Charton01/2013
395023839^14802+14802^2383999417Hans Havermann02/2018
3951(2*10^99408+529)/999408Robert Price01/2017
395253^57646-299398Lelio R Paula09/2013
39532^330165+187002599390Enzo Doria05/2016
39542^330142-15599383Lelio R Paula12/2012
39552^330088-11525999367Enzo Doria06/2015
395724216^12671+12671^2421699354Hans Havermann01/2018
3956Phi(200548,10)/320876999354Makoto Kamada04/2019
3958(746*10^99303+1)/999305Robert Price02/2017
39593^208107+4099293Lelio R Paula08/2016
3960(5*2^329833-1)/36999288Lelio R Paula02/2014
39618*3^208093+599287Lelio R Paula08/2014
39625^142043+5699284Lelio R Paula08/2016
396322*10^99275+799277Robert Price04/2016
39642^329778+187618999274Enzo Doria07/2016
3965(10^99239-13)/399239Robert Price02/2017
39663^207987+6299236Lelio R Paula08/2016
39672^329638+4999231Lelio R Paula12/2012
39687^117413-1899226Lelio R Paula08/2016
39692^329586-45890399216Enzo Doria04/2015
39702^329553+10199206Lelio R Paula12/2012
39712^329551-11289799205Enzo Doria06/2014
3972(3^207925+7)/5099204Lelio R Paula09/2013
39736^127458-1799399182Enzo Doria03/2013
397427197^4428+4428^2719799166Hans Havermann10/2017
3975(46*10^99143-1)/999144Robert Price12/2014
39767*10^99133+6999134Robert Price10/2017
397718^78968-306599127Enzo Doria03/2013
397825927^6654+6654^2592799122Hans Havermann10/2017
39792^329259+18999117Lelio R Paula12/2012
39808*10^99113+3999114Robert Price01/2017
39816^127364+7799109Lelio R Paula08/2016
39826^127285+1399047Lelio R Paula08/2016
3983(228581#+235862)/(2^3*11*71*151)99044Makoto Morimoto10/2017
39842^329007+7328399041Enzo Doria04/2016
39855*3^207543-899024Lelio R Paula08/2014
39862^328885+14999005Lelio R Paula12/2012
398723392^17075+17075^2339299004Hans Havermann09/2017
3988(2^328879-9)/11999001Lelio R Paula10/2013
39895^141618+5498987Lelio R Paula08/2016
39908*10^98982+5198983Robert Price05/2017
3991(21*2^328809-1)/770998979Lelio R Paula03/2014
39922^328794-279760198977Enzo Doria04/2016
39936^127176+598963Lelio R Paula11/2014
399424262^11989+11989^2426298960Hans Havermann09/2017
39952^328700-10970998949Enzo Doria04/2014
399646711!2-2^4671198916Robert Price09/2015
39979*7^117037+498909Lelio R Paula11/2014
3998127^47012+12698905Norbert Schneider01/2019
3999(10^98890+149)/398890Serge Batalov12/2014
400022775^21978+21978^2277598889Hans Havermann08/2017


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: August, 25 2019 15:53 (Time in France)

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