PRP Records

Probable Primes Top 10000

(255244 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 ?
52512^296737-11251989327Enzo Doria06/2014
52522^296718-364589322Lelio R Paula11/2013
52532^296681-1622189310Enzo Doria04/2013
52542^296669-1651389307Enzo Doria04/2013
52552^296619-1635789292Enzo Doria04/2013
52562^296614-11005189290Enzo Doria04/2014
5257(3^187138+8)/8314789283Lelio R Paula01/2013
5258(2*10^89279+457)/989279Robert Price01/2017
525915^75907-2889274Lelio R Paula11/2015
52602^296547-3789270Yves Minet01/2012
52612^296485+19189251Lelio R Paula10/2012
52622^296467-7589246Lelio R Paula10/2012
52632^296416-10953589231Enzo Doria04/2014
5264(23*2^296406+1)/389228Lelio R Paula01/2013
526566^49037-6589225Norbert Schneider11/2014
52662^296377-1624589219Enzo Doria04/2013
52672^296372-6487589217Lelio R Paula11/2013
52685*6^114648-789215Lelio R Paula10/2014
52693*10^89206+1389207Robert Price08/2017
52707*3^186960-489204Lelio R Paula08/2014
52712^296290-11213389193Enzo Doria06/2014
52726^114620-1700389192Enzo Doria02/2013
5273(4*10^89189+41)/989189Robert Price11/2014
52742^296261-16118189184Enzo Doria04/2013
5275(19*2^296269-1)/53062389182Lelio R Paula02/2014
52763^186903-1089176Robert Price09/2013
52777*10^89169-389170Dmitry Domanov11/2010
5278(2^296221-1017)/3589170Lelio R Paula01/2013
5279(43*10^89169+47)/989170Robert Price12/2017
5280(10^89160+29)/389160Serge Batalov12/2014
5281(28*10^89141-97)/389142Robert Price07/2016
52822^296116-73463989140Paul Bourdelais04/2013
52836^114544-13389133Lelio R Paula12/2015
52842^296076-11329789128Enzo Doria07/2014
5285(11*2^296060-1)/21589122Lelio R Paula02/2014
52865*10^89118+8189119Robert Price08/2017
52872^296037-141189117Yves Minet01/2013
52882^296020-260480989111Enzo Doria05/2015
52892^296016+8189110Henri Lifchitz02/2007
52902^296010-1189108Lelio R Paula10/2012
52912^295998-11191189105Enzo Doria05/2014
5292(2^296014+47)/9399114989102Lelio R Paula01/2013
52932^295939-1662189087Enzo Doria04/2013
52942^295934-10969189086Enzo Doria04/2014
5295(185*10^89063+7)/389065Robert Price02/2017
52962^295831+14389055Lelio R Paula10/2012
529731^59713-3089054Theodore Burton02/2007
5298(7*2^295834-1)/2766389052Lelio R Paula02/2014
529979731!4-3289049Robert Price11/2019
5301123^42608+289047Lelio R Paula05/2013
53006^114433-114433^689047Norbert Schneider04/2017
53022^295800-45965989045Enzo Doria05/2015
5303(52*10^89037-1)/389039Robert Price02/2017
5304(6^114398-11)/589019Paul Bourdelais11/2011
530511^85470-585089008Enzo Doria02/2013
5306(27*2^295634+1)/468788993Lelio R Paula01/2013
5307(p(18424)#-4)/288985Robert Price09/2017
53082^295564-18988974Lelio R Paula10/2012
53092^295557+7309788972Enzo Doria04/2016
531011^85433-576088970Enzo Doria01/2013
53116*10^88938-9188939Robert Price11/2017
531215^75619-8888935Lelio R Paula11/2015
53132^295385-8588920Lelio R Paula10/2012
53142^295385-1633388920Enzo Doria04/2013
531579617!4+3288909Robert Price09/2019
53162^295309+5988897Lelio R Paula10/2012
53172^295288-10979988891Enzo Doria04/2014
531810^88888+17037388889Stefano Morozzi07/2018
531910^88888+27139988889Stefano Morozzi07/2018
532010^88888+37539788889Stefano Morozzi07/2018
532110^88888+54882388889Stefano Morozzi07/2018
532210^88888+82086188889Stefano Morozzi07/2018
532310^88888+120634988889Stefano Morozzi07/2018
532410^88888+129204788889Stefano Morozzi07/2018
532510^88888+145602988889Stefano Morozzi07/2018
532610^88888-49028788888Patrick De Geest09/2018
53272^295245+6588878Lelio R Paula10/2012
5328Padovan(727734)88874Eric W. Weisstein04/2011
532979585!4-3288870Robert Price11/2019
533018^70793-1788865Lelio R Paula11/2015
53316^114196-1757388862Enzo Doria02/2013
5332302^35829+35829^30288857Norbert Schneider12/2014
53333^186223+1688851Robert Price10/2013
53343*2^295139+788847Lelio R Paula08/2014
53353^186212-11300888846Enzo Doria07/2014
533687^45803-8688836Norbert Schneider11/2015
53372^295094-11027388833Enzo Doria05/2014
53382^295080+186915188828Enzo Doria05/2016
53392^295027-11340788812Enzo Doria07/2014
5340(2*10^88808-71)/388808Robert Price01/2017
534113^79722-8088806Lelio R Paula11/2015
53423^186103+10488794Lelio R Paula12/2015
5343(3*2^294971+1)/2556588792Lelio R Paula01/2013
53442^294937-11500388785Enzo Doria06/2015
53452^294868-10970988765Enzo Doria04/2014
53462^294864-298588763Yves Minet09/2014
5347(17*10^88761-41)/388762Robert Price09/2017
53482^294754+1501588730Lelio R Paula10/2013
5349(3^185951-7)/2088720Lelio R Paula01/2013
5350(2^294661+5)/44369338388694Lelio R Paula01/2013
5351(10^88680+11)/388680Robert Price11/2014
53522*7^104928-988675Lelio R Paula10/2014
535311^85150+1288675Lelio R Paula11/2015
53548*6^113951+588673Lelio R Paula10/2014
53566^113940-1856388663Enzo Doria03/2013
535538^56123-56123^3888663Norbert Schneider02/2017
53572^294492-6588651Lelio R Paula10/2012
53587*10^88634-2788635Dylan Delgado08/2019
535920^68120-5388627Lelio R Paula01/2016
5360122^42477-12188623Norbert Schneider10/2018
53612^294391-11325788621Enzo Doria07/2014
53625^126784-1547688619Enzo Doria02/2013
53632^294327+988602Lelio R Paula10/2012
53642^294320+1891588600Lelio R Paula10/2013
5365(98*10^88595-89)/9988595Ray Chandler07/2011
5366(17*2^294262-1)/1388582Lelio R Paula02/2014
5367(2*10^88545+7)/988545Erik Branger03/2011
53682^294137-13388545Lelio R Paula10/2012
5369(2^294092-1017)/117188528Lelio R Paula01/2013
53704^147036+147036^4+188525Robert Price04/2014
5371(14^77213-5^77213)/988496Robert Price04/2013
53722^293965+279337788493Enzo Doria03/2016
537311^84971-15088489Enzo Doria08/2012
537448^52626-4788478Norbert Schneider08/2018
5375(2^293956-1017)/3985137669667788476Lelio R Paula01/2013
537611^84958-219088475Enzo Doria12/2012
53772^293880-11134788467Enzo Doria05/2014
5378(106*10^88459-1)/388461Serge Batalov12/2014
537910^88457+27873388458Patrick De Geest07/2017
538010^88457-40188457Robert Price06/2017
538111^84908-168088423Enzo Doria12/2012
53822^293679-11207588407Enzo Doria06/2014
53836^113608-6588405Lelio R Paula12/2015
53842^293624+8287588390Lelio R Paula10/2013
53852^293612-11233788387Enzo Doria06/2014
5386758^30693+30693^75888386Norbert Schneider05/2017
5387gcd(V(1062695),5*F(212539)*(F(212539)-1)+1)88383Serge Batalov04/2015
53885*10^88377+7788378Robert Price06/2016
5389(5*2^293526+1)/30388359Lelio R Paula01/2013
53902^293461-278584388341Enzo Doria03/2016
53912^293416-103788328Yves Minet11/2012
5392(2^293384-7)/388317Lelio R Paula01/2013
5393(3^185092-5)/488311Lelio R Paula01/2013
5394(5*10^88303-173)/388304Robert Price11/2017
539514^77039-5788297Lelio R Paula11/2015
53963*10^88293-5988294Robert Price10/2017
53975^126303+4288283Lelio R Paula10/2015
539919^69025-1888266Theodore Burton01/2006
5398140^41128+13988266Norbert Schneider04/2019
54005*10^88261-388262Dmitry Domanov11/2010
54018^97731-7^(97731-1)88260Robert Price04/2016
54025*10^88254+5988255Robert Price09/2016
54034*3^184968-788253Lelio R Paula08/2014
54047^104426+8888251Lelio R Paula10/2015
54052^293142+9988245Lelio R Paula10/2012
540611^84736-213088244Enzo Doria12/2012
5407(10^110315+1)/(10^22063+1)/582481268216764857846028164188225Makoto Kamada04/2019
54082^293068-8988223Lelio R Paula10/2012
54092^293014-10965588207Enzo Doria04/2014
54108*7^104371-388205Lelio R Paula10/2014
54112^292995-214588201Lelio R Paula10/2013
54125*10^88182+7788183Robert Price06/2016
54142^292929+4387788181Donovan Johnson04/2005
54136^113321+13188181Lelio R Paula12/2015
54152^292904-58394988173Paul Bourdelais04/2013
54162^292894-11185188170Enzo Doria05/2014
54172^292872-279734988164Enzo Doria03/2016
54182^292860-10968588160Enzo Doria04/2014
54199*6^113288-588157Lelio R Paula10/2014
5420(2*10^88112-23)/388112Robert Price09/2017
5421(73*10^88105+17)/988106Robert Price10/2015
542211^84588+7888090Lelio R Paula11/2015
5423(265*10^88077+11)/388079Robert Price03/2017
542491^44959-90^4495988077Robert Price07/2015
54256^113177-5^11317788069Jean-Louis Charton01/2009
5426(10^88020+101)/388020Robert Price04/2016
542752^51285-5188006Norbert Schneider09/2018
5428(10^(2*43982+1)-6*10^43982-1)/387965Robert Price02/2016
5429(424*10^87930-1)/987932Robert Price11/2017
5430p(18225)#/2+12887929Robert Price04/2017
54314*6^112977+787914Lelio R Paula10/2014
543214^76677+6987882Lelio R Paula11/2015
5433(22*10^87863-1)/387864Robert Price12/2014
54342^291822-279781187848Enzo Doria04/2016
54352^291716-11138987816Enzo Doria05/2014
5436(782*10^87809-71)/987811Robert Price06/2017
54373^184039+182087809Lelio R Paula12/2015
543812^81356+4187798Lelio R Paula11/2015
54396^112792-1898387770Enzo Doria03/2013
54403*6^112787-587766Lelio R Paula10/2014
54417^103848+8287762Lelio R Paula10/2015
5442(19*2^291534-1)/17869639587754Lelio R Paula02/2014
5443(3^183915+5)/12887748Lelio R Paula01/2013
544419^68619+2487747Lelio R Paula12/2015
54462^291480+118587745Lelio R Paula10/2013
54452^291482+186736987745Enzo Doria03/2016
54472^291467-93787741Yves Minet05/2013
5448(25*10^87726+161)/387727Robert Price01/2017
544911^84239-285087726Enzo Doria12/2012
545010^87720+21554187721Patrick De Geest01/2011
545110^87720-387720Markus Tervooren07/2010
5452(5*10^87712-473)/987712Robert Price12/2017
5453(2^291357+5)/684787704Lelio R Paula01/2013
545493^44541-287679Lelio R Paula09/2013
54552^291261-10956187679Enzo Doria04/2014
5456(4*10^87669+149)/987669Robert Price03/2017
54572^291217+425787666Lelio R Paula10/2013
54582*12^81214-5^8121487645Mike Oakes12/2010
5459(5*10^87622-473)/987622Robert Price12/2017
546012^81188+8587617Lelio R Paula11/2015
5461(21*2^290980-1)/587595Lelio R Paula02/2014
54622^290958+12787588Lelio R Paula09/2012
546378531!4-887580Robert Price11/2019
54642^290923-6787577Lelio R Paula09/2012
54653*10^87573-9787574Robert Price08/2017
5466(13*10^87565+11)/387566Robert Price05/2015
5467(2^290857-7)/5587555Lelio R Paula01/2013
54682^290802+8287587541Lelio R Paula10/2013
5469(509203*2^290792-1)/756098787536Lelio R Paula04/2015
54703^183441+23687524Lelio R Paula12/2015
54712^290618-3387485Lelio R Paula09/2012
5472(184*10^87473-1)/387475Robert Price02/2017
54732^290534-11515187460Enzo Doria06/2015
54742^290512-10975787453Enzo Doria04/2014
5475(32*10^87448-41)/987449Robert Price05/2015
5476(2^290491+9)/317987444Lelio R Paula01/2013
5477(25*2^290489-1)/5180987443Lelio R Paula02/2014
54782^290426+8287587427Lelio R Paula11/2013
54793*2^290415-787425Lelio R Paula08/2014
548110^87408+5787409Robert Price03/2011
54802^290366+7477987409Enzo Doria04/2016
548210^87408-12356987408Patrick De Geest07/2013
54832^290265+5890587379Lelio R Paula10/2013
54847^103391+1687376Lelio R Paula10/2015
5485(115*10^87368-7)/987370Robert Price11/2017
5486(92^44491-1)/9187369Paul Bourdelais08/2017
54878*7^103379+387367Lelio R Paula10/2014
5488(2^290226+7)/7187365Lelio R Paula01/2013
548913^78407-3087341Lelio R Paula11/2015
54904*10^87337-9987338Robert Price12/2016
54917*10^87319+3987320Robert Price07/2016
54923*5^124921+287317Lelio R Paula10/2014
549378315!4-1687316Robert Price11/2019
54943^182984+8887306Lelio R Paula12/2015
5495(10^87323-1)/(9*33909262597306826117)87303Alfred Reich02/2019
54964*10^87287-9987288Robert Price12/2016
549711^83813-186087283Enzo Doria12/2012
5498734^30453+30453^73487270Norbert Schneider04/2017
549912^80855+2987258Lelio R Paula11/2015
55003*6^112119-587247Lelio R Paula10/2014


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: November, 10 2019 12:07 (Time in France)

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