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 ?
475110^90453-396990453Patrick De Geest11/2018
475210^90440+135990441Patrick De Geest11/2018
4753(3^189545-8)/590436Lelio R Paula01/2013
4754(7*2^300406-1)/390432Lelio R Paula02/2014
475510^90430+333990431Patrick De Geest11/2018
475610^90414-154790414Patrick De Geest11/2018
475710^90404-642990404Patrick De Geest11/2018
475810^90401+207790402Patrick De Geest11/2018
47594*5^129332+390400Lelio R Paula10/2014
476010^90397-32390397Patrick De Geest11/2018
47612^300249-1624590384Enzo Doria04/2013
4762(7*10^90371-313)/990371Robert Price11/2016
476310^90363-355790363Patrick De Geest11/2018
47652*6^116118+790358Lelio R Paula10/2014
476410^90358-497990358Patrick De Geest11/2018
476610^90356-719790356Patrick De Geest11/2018
476710^90353-108990353Patrick De Geest11/2018
4768(24737*2^300101+1)/2590343Lelio R Paula06/2014
47694*10^90334-2190335Robert Price04/2016
477010^90322-955190322Patrick De Geest11/2018
477110^90316+999190317Patrick De Geest11/2018
47732^300019-11033590315Enzo Doria05/2014
477210^90315-856190315Patrick De Geest11/2018
4774FAB2(300001,5032)90310Robert Price05/2019
4775FAB2(300001,29405)90310Robert Price05/2019
47762^299949-100590294Lelio R Paula11/2013
477710^90279-155190279Patrick De Geest09/2018
47782^299868-10961390270Enzo Doria04/2014
477910^90259-944390259Patrick De Geest09/2018
478010^90252-810390252Patrick De Geest09/2018
47815*2^299799-390250Lelio R Paula08/2014
478213^81008-290239Lelio R Paula09/2013
478364^49957-63^4995790232Robert Price07/2013
478410^90227+5628190228Patrick De Geest06/2016
47872^299725+31590227Lelio R Paula11/2013
478510^90227-100000000190227Robert Price05/2016
478610^90227-6876390227Patrick De Geest06/2016
47885^129082+4890225Lelio R Paula03/2016
47892^299699+19590219Lelio R Paula10/2012
4790(55*10^90211-1)/990212Ray Chandler02/2012
479110^90209+897190210Patrick De Geest09/2018
479210^90208-224790208Patrick De Geest09/2018
4793116^43693-11590203Norbert Schneider08/2018
479410^90202+355390203Patrick De Geest09/2018
47953^189053+28090202Lelio R Paula04/2016
47962^299639-18790201Lelio R Paula10/2012
479710^90199-289190199Patrick De Geest09/2018
47982^299631+18390198Lelio R Paula10/2012
479910^90196-968390196Patrick De Geest09/2018
480010^90193-980990193Patrick De Geest09/2018
4801(21*2^299611-1)/2990192Lelio R Paula02/2014
48022^299567+11390179Lelio R Paula10/2012
48032^299550+18990174Lelio R Paula10/2012
480410^90170-674990170Patrick De Geest09/2018
4805(2^299535+3)/2990168Lelio R Paula01/2013
480610^90160-561390160Patrick De Geest09/2018
4807(97*10^90155-1)/390157Serge Batalov12/2014
48083^188938+868090147Lelio R Paula04/2016
480910^90146-202790146Patrick De Geest09/2018
48116^115840-5590142Lelio R Paula05/2016
4810(5*10^90142-473)/990142Robert Price12/2017
48128*7^106659+590139Lelio R Paula10/2014
48132^299406-1665390131Enzo Doria05/2013
4815208049#+(216091#)/(208049#)90128Makoto Morimoto04/2016
481410^90128-838790128Patrick De Geest09/2018
4816(F(5)^128941-F(4)^128941)/F(3)90126Wayne Halsdorf03/2012
48176^115819-5390125Lelio R Paula05/2016
481810^90123+631390124Patrick De Geest09/2018
48196^115816-1685390123Enzo Doria02/2013
48206^115813-2390121Lelio R Paula05/2016
4821(22*10^90110+161)/390111Robert Price02/2017
4822(2^299330-509203)/6990106Lelio R Paula01/2013
482310^90105-76790105Patrick De Geest09/2018
482410^90104-770390104Patrick De Geest09/2018
482510^90103+915990104Patrick De Geest09/2018
482610^90101-320790101Patrick De Geest09/2018
4827(29*10^90096-17)/390097Erik Branger09/2014
482810^90089-357390089Patrick De Geest09/2018
48292^299247+187052990083Enzo Doria05/2016
483010^90079+160990080Patrick De Geest09/2018
48312^299229-279778390077Enzo Doria04/2016
48322^299220-1631790075Enzo Doria04/2013
483311^86491-135090072Enzo Doria12/2012
483410^90071-123390071Patrick De Geest09/2018
483510^90069-784190069Patrick De Geest09/2018
4836(31*10^90064-1)/390066Robert Price03/2017
483710^90060-83990060Patrick De Geest09/2018
483810^90052+236190053Patrick De Geest09/2018
483910^90047+61990048Patrick De Geest09/2018
4840L(430949)/861899/144038756153990045Serge Batalov07/2017
48412^299112+7395190042Enzo Doria04/2016
48428^99702+7^(99702-1)90040Robert Price02/2016
484310^90038-968790038Patrick De Geest09/2018
48445*10^90033+390034Dmitry Domanov11/2010
484510^90030-146190030Patrick De Geest09/2018
4846243^37738+37738^24390029Norbert Schneider01/2015
484710^90025-870390025Patrick De Geest09/2018
48482^299048-11329790023Enzo Doria07/2014
484910^90015+84990016Patrick De Geest09/2018
485010^90010+681190011Patrick De Geest09/2018
485110^90010-18359790010Patrick De Geest11/2018
485210^90009+5832190010Patrick De Geest11/2018
485310^90008+84790009Patrick De Geest09/2018
485410^90009-35601390009Patrick De Geest11/2018
48563^188648+9290008Lelio R Paula12/2015
485510^90008-70604990008Patrick De Geest11/2018
48575*2^298991+790006Lelio R Paula08/2014
4858(25*2^298997+1)/326790005Lelio R Paula01/2013
485910^90000+886990001Patrick De Geest12/2009
486110^89999+8293990000Dirk Augustin04/2007
486010^90000-14034390000Patrick De Geest12/2009
486210^89999-19489189999Patrick De Geest11/2009
486319^70365-7889980Lelio R Paula12/2015
4864NaturalLogarithmOf2(89973)89973Eric W. Weisstein10/2015
48652^298852-6487589964Lelio R Paula11/2013
486618^71659+3789952Lelio R Paula12/2015
4867(2908*29^61501-3)/789942Curtis Bright05/2015
486817^73067+2089906Lelio R Paula11/2015
48692^298637-9989899Lelio R Paula10/2012
48709^94188+3*8^94188-2*4^94188-3*2^9418889879Mike Oakes01/2011
48719*10^89858+1989859Robert Price05/2016
48722^298501+187006789858Enzo Doria05/2016
487311^86280-9889852Lelio R Paula11/2015
48742^298473-11005989850Enzo Doria04/2014
487519^70263-3289850Lelio R Paula12/2015
4876(299*10^89836-17)/389838Robert Price01/2017
48773^188286+1489836Robert Price09/2013
4878gcd(V(1091095),5*F(218219)*(F(218219)+1)+1)89822Serge Batalov04/2015
48792^298367+5890589818Lelio R Paula11/2013
48802^298319-10965789803Enzo Doria04/2014
48818*10^89800+8189801Robert Price05/2017
488218^71505-9189759Lelio R Paula12/2015
4883(7^106187+1)/889738Paul Bourdelais04/2008
48842^298079-10953189731Enzo Doria04/2014
4885117^43380+11689718Norbert Schneider08/2018
4886(22699*2^298016+1)/38589714Lelio R Paula06/2014
4887156*(10^(4*22427)-1)/101-189709Robert Price05/2014
48882^298003-6694589708Lelio R Paula11/2013
4889(23*10^89705-83)/389706Robert Price09/2017
489017^72900-5489700Lelio R Paula11/2015
48913*2^297956+589695Lelio R Paula08/2014
489220^68938-1189691Lelio R Paula01/2016
489389*10^89687-789689Robert Price03/2017
48942^297923+7778389684Enzo Doria05/2016
489511^86107-2457600089672Enzo Doria02/2013
48962^297878-11191189671Enzo Doria05/2014
48977^106084+4089652Lelio R Paula10/2015
4898(86*10^89640-311)/989641Robert Price10/2017
48993*10^89608-5989609Robert Price10/2017
49003^187780-1103889594Enzo Doria05/2014
4901(13*2^297560-1)/4915178789568Lelio R Paula02/2014
49025^128141-3689567Lelio R Paula10/2015
49034*7^105951+989540Lelio R Paula10/2014
4904(7*10^89539-439)/989539Robert Price09/2017
49052^297397+17725789526Enzo Doria05/2016
49062^297346-1624189511Enzo Doria04/2013
4907(5*10^89510+79)/389511Robert Price11/2017
49094^148663-3^14866389505Jean-Louis Charton11/2005
49082^297328-86968810589505Lelio R Paula07/2016
49102^297325-45904389504Enzo Doria05/2015
49112^297310-11239189500Enzo Doria06/2014
49122^297296-11215789496Enzo Doria06/2014
491357^50966-289490Lelio R Paula08/2013
4914(266*10^89482+1)/389484Robert Price02/2016
4915(14*10^89480-101)/389481Robert Price04/2017
49162^297122+9989443Lelio R Paula10/2012
4917(3^187435-5)/128689427Lelio R Paula01/2013
4918(25*10^89413+161)/389414Robert Price01/2017
49192^296990+187069989403Enzo Doria05/2016
49202^296972-101789398Lelio R Paula11/2013
4921(7*10^89383+167)/389384Robert Kinser10/2017
4922(85*10^89375-31)/989376Robert Price11/2015
49239*2^296870+789368Lelio R Paula08/2014
4924100^44683-99^4468389366Robert Price07/2013
49252^296810+7651989349Enzo Doria05/2016
49268^98928+7^(98928+1)89341Robert Price06/2016
4927(3^187247+4)/102789337Lelio R Paula01/2013
4928(3^187235-2)/204589331Lelio R Paula01/2013
49302^296736-43214989327Paul Bourdelais05/2013
49292^296737-11251989327Enzo Doria06/2014
49312^296718-364589322Lelio R Paula11/2013
49322^296681-1622189310Enzo Doria04/2013
49332^296669-1651389307Enzo Doria04/2013
49342^296619-1635789292Enzo Doria04/2013
49352^296614-11005189290Enzo Doria04/2014
4936(3^187138+8)/8314789283Lelio R Paula01/2013
4937(2*10^89279+457)/989279Robert Price01/2017
493815^75907-2889274Lelio R Paula11/2015
49392^296547-3789270Yves Minet01/2012
49402^296485+19189251Lelio R Paula10/2012
49412^296467-7589246Lelio R Paula10/2012
49422^296416-10953589231Enzo Doria04/2014
4943(23*2^296406+1)/389228Lelio R Paula01/2013
494466^49037-6589225Norbert Schneider11/2014
49452^296377-1624589219Enzo Doria04/2013
49462^296372-6487589217Lelio R Paula11/2013
49475*6^114648-789215Lelio R Paula10/2014
49483*10^89206+1389207Robert Price08/2017
49497*3^186960-489204Lelio R Paula08/2014
49502^296290-11213389193Enzo Doria06/2014
49516^114620-1700389192Enzo Doria02/2013
4952(4*10^89189+41)/989189Robert Price11/2014
49532^296261-16118189184Enzo Doria04/2013
4954(19*2^296269-1)/53062389182Lelio R Paula02/2014
49553^186903-1089176Robert Price09/2013
49587*10^89169-389170Dmitry Domanov11/2010
4957(2^296221-1017)/3589170Lelio R Paula01/2013
4956(43*10^89169+47)/989170Robert Price12/2017
4959(10^89160+29)/389160Serge Batalov12/2014
4960(28*10^89141-97)/389142Robert Price07/2016
49612^296116-73463989140Paul Bourdelais04/2013
49626^114544-13389133Lelio R Paula12/2015
49632^296076-11329789128Enzo Doria07/2014
4964(11*2^296060-1)/21589122Lelio R Paula02/2014
49655*10^89118+8189119Robert Price08/2017
49662^296037-141189117Yves Minet01/2013
49672^296020-260480989111Enzo Doria05/2015
49682^296016+8189110Henri Lifchitz02/2007
49692^296010-1189108Lelio R Paula10/2012
49702^295998-11191189105Enzo Doria05/2014
4971(2^296014+47)/9399114989102Lelio R Paula01/2013
49722^295939-1662189087Enzo Doria04/2013
49732^295934-10969189086Enzo Doria04/2014
4974(185*10^89063+7)/389065Robert Price02/2017
49752^295831+14389055Lelio R Paula10/2012
497631^59713-3089054Theodore Burton02/2007
4977(7*2^295834-1)/2766389052Lelio R Paula02/2014
4979123^42608+289047Lelio R Paula05/2013
49786^114433-114433^689047Norbert Schneider04/2017
49802^295800-45965989045Enzo Doria05/2015
4981(52*10^89037-1)/389039Robert Price02/2017
4982(6^114398-11)/589019Paul Bourdelais11/2011
498311^85470-585089008Enzo Doria02/2013
4984(27*2^295634+1)/468788993Lelio R Paula01/2013
4985(p(18424)#-4)/288985Robert Price09/2017
49862^295564-18988974Lelio R Paula10/2012
49872^295557+7309788972Enzo Doria04/2016
498811^85433-576088970Enzo Doria01/2013
49896*10^88938-9188939Robert Price11/2017
499015^75619-8888935Lelio R Paula11/2015
49912^295385-8588920Lelio R Paula10/2012
49922^295385-1633388920Enzo Doria04/2013
49932^295309+5988897Lelio R Paula10/2012
49942^295288-10979988891Enzo Doria04/2014
499510^88888+17037388889Stefano Morozzi07/2018
499610^88888+27139988889Stefano Morozzi07/2018
499710^88888+37539788889Stefano Morozzi07/2018
499810^88888+54882388889Stefano Morozzi07/2018
499910^88888+82086188889Stefano Morozzi07/2018
500010^88888+120634988889Stefano Morozzi07/2018


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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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