PRP Records

Probable Primes Top 10000

(255169 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 ?
5001(7*2^300406-1)/390432Lelio R Paula02/2014
500210^90430+333990431Patrick De Geest11/2018
500310^90430-6347790430Patrick De Geest07/2019
500410^90414+22959390415Patrick De Geest07/2019
500510^90414-154790414Patrick De Geest11/2018
500610^90404+4704190405Patrick De Geest07/2019
500710^90404-642990404Patrick De Geest11/2018
500810^90401+207790402Patrick De Geest11/2018
500910^90401-36863790401Patrick De Geest07/2019
50104*5^129332+390400Lelio R Paula10/2014
501110^90397+1978390398Patrick De Geest07/2019
501210^90397-32390397Patrick De Geest11/2018
50132^300249-1624590384Enzo Doria04/2013
5014(7*10^90371-313)/990371Robert Price11/2016
501510^90363+5867790364Patrick De Geest07/2019
501610^90363-355790363Patrick De Geest11/2018
501710^90358+10464190359Patrick De Geest07/2019
50202*6^116118+790358Lelio R Paula10/2014
501910^90358-497990358Patrick De Geest11/2018
501810^90357+11283790358Patrick De Geest07/2019
502110^90357-18959390357Patrick De Geest07/2019
502210^90356+5311390357Patrick De Geest07/2019
502310^90356-719790356Patrick De Geest11/2018
502410^90353+60321190354Patrick De Geest07/2019
502510^90353-108990353Patrick De Geest11/2018
5026(24737*2^300101+1)/2590343Lelio R Paula06/2014
50274*10^90334-2190335Robert Price04/2016
502810^90322+13769190323Patrick De Geest07/2019
502910^90322-955190322Patrick De Geest11/2018
503010^90316+999190317Patrick De Geest11/2018
503110^90316-4562790316Patrick De Geest07/2019
503210^90315+3288990316Patrick De Geest07/2019
50342^300019-11033590315Enzo Doria05/2014
503310^90315-856190315Patrick De Geest11/2018
5035FAB2(300001,5032)90310Robert Price05/2019
5036FAB2(300001,29405)90310Robert Price05/2019
50372^299949-100590294Lelio R Paula11/2013
503810^90279+6245790280Patrick De Geest07/2019
503910^90279-155190279Patrick De Geest09/2018
50402^299868-10961390270Enzo Doria04/2014
504110^90259+35929990260Patrick De Geest07/2019
504210^90259-944390259Patrick De Geest09/2018
504310^90252+10287390253Patrick De Geest07/2019
504410^90252-810390252Patrick De Geest09/2018
50455*2^299799-390250Lelio R Paula08/2014
504613^81008-290239Lelio R Paula09/2013
504764^49957-63^4995790232Robert Price07/2013
504810^90227+5628190228Patrick De Geest06/2016
50512^299725+31590227Lelio R Paula11/2013
504910^90227-100000000190227Robert Price05/2016
505010^90227-6876390227Patrick De Geest06/2016
50525^129082+4890225Lelio R Paula03/2016
50532^299699+19590219Lelio R Paula10/2012
5054(55*10^90211-1)/990212Ray Chandler02/2012
505510^90209+897190210Patrick De Geest09/2018
505610^90209-72479790209Patrick De Geest07/2019
505710^90208+18953190209Patrick De Geest07/2019
505810^90208-224790208Patrick De Geest09/2018
5059116^43693-11590203Norbert Schneider08/2018
506010^90202+355390203Patrick De Geest09/2018
50623^189053+28090202Lelio R Paula04/2016
506110^90202-6779390202Patrick De Geest07/2019
50632^299639-18790201Lelio R Paula10/2012
506410^90199+25403190200Patrick De Geest07/2019
506510^90199-289190199Patrick De Geest09/2018
50662^299631+18390198Lelio R Paula10/2012
506710^90196+18753990197Patrick De Geest07/2019
506810^90196-968390196Patrick De Geest09/2018
506910^90193+10497390194Patrick De Geest07/2019
507010^90193-980990193Patrick De Geest09/2018
5071(21*2^299611-1)/2990192Lelio R Paula02/2014
50722^299567+11390179Lelio R Paula10/2012
50732^299550+18990174Lelio R Paula10/2012
507410^90170+37606390171Patrick De Geest07/2019
507510^90170-674990170Patrick De Geest09/2018
5076(2^299535+3)/2990168Lelio R Paula01/2013
507710^90160+27194790161Patrick De Geest07/2019
507810^90160-561390160Patrick De Geest09/2018
5079(97*10^90155-1)/390157Serge Batalov12/2014
50803^188938+868090147Lelio R Paula04/2016
508110^90146+16020990147Patrick De Geest07/2019
508210^90146-202790146Patrick De Geest09/2018
50836^115840-5590142Lelio R Paula05/2016
5084(5*10^90142-473)/990142Robert Price12/2017
50858*7^106659+590139Lelio R Paula10/2014
50862^299406-1665390131Enzo Doria05/2013
508710^90128+28867390129Patrick De Geest07/2019
5088208049#+(216091#)/(208049#)90128Makoto Morimoto04/2016
508910^90128-838790128Patrick De Geest09/2018
5090(F(5)^128941-F(4)^128941)/F(3)90126Wayne Halsdorf03/2012
50916^115819-5390125Lelio R Paula05/2016
509210^90123+631390124Patrick De Geest09/2018
50946^115816-1685390123Enzo Doria02/2013
509310^90123-2261790123Patrick De Geest07/2019
50956^115813-2390121Lelio R Paula05/2016
5096(22*10^90110+161)/390111Robert Price02/2017
5098(2^299330-509203)/6990106Lelio R Paula01/2013
509710^90105+91575990106Patrick De Geest07/2019
510010^90105-76790105Patrick De Geest09/2018
509910^90104+4818990105Patrick De Geest07/2019
510110^90104-770390104Patrick De Geest09/2018
510210^90103+915990104Patrick De Geest09/2018
510310^90103-20845790103Patrick De Geest07/2019
510410^90102+7301190103Patrick De Geest07/2019
510510^90102-60243390102Patrick De Geest07/2019
510610^90101+122553790102Patrick De Geest07/2019
510710^90101-320790101Patrick De Geest09/2018
5108(29*10^90096-17)/390097Erik Branger09/2014
510910^90089+14318190090Patrick De Geest07/2019
511010^90089-357390089Patrick De Geest09/2018
51112^299247+187052990083Enzo Doria05/2016
511210^90079+160990080Patrick De Geest09/2018
511310^90079-23004390079Patrick De Geest07/2019
51142^299229-279778390077Enzo Doria04/2016
51152^299220-1631790075Enzo Doria04/2013
511611^86491-135090072Enzo Doria12/2012
511710^90071+5233390072Patrick De Geest07/2019
511810^90071-123390071Patrick De Geest09/2018
511910^90069+15852790070Patrick De Geest07/2019
512010^90069-784190069Patrick De Geest09/2018
5121(31*10^90064-1)/390066Robert Price03/2017
512210^90060+14943190061Patrick De Geest07/2019
512310^90060-83990060Patrick De Geest09/2018
512410^90052+236190053Patrick De Geest09/2018
512510^90052-9092990052Patrick De Geest07/2019
512610^90047+61990048Patrick De Geest09/2018
512710^90047-15107190047Patrick De Geest07/2019
5128L(430949)/861899/144038756153990045Serge Batalov07/2017
51292^299112+7395190042Enzo Doria04/2016
51308^99702+7^(99702-1)90040Robert Price02/2016
513110^90038+15780390039Patrick De Geest07/2019
513210^90038-968790038Patrick De Geest09/2018
51335*10^90033+390034Dmitry Domanov11/2010
513410^90030+22581390031Patrick De Geest07/2019
513510^90030-146190030Patrick De Geest09/2018
5136243^37738+37738^24390029Norbert Schneider01/2015
513710^90025+7056990026Patrick De Geest07/2019
513810^90025-870390025Patrick De Geest09/2018
51392^299048-11329790023Enzo Doria07/2014
514010^90015+84990016Patrick De Geest09/2018
514110^90015-22838790015Patrick De Geest07/2019
514210^90010+681190011Patrick De Geest09/2018
514310^90010-18359790010Patrick De Geest11/2018
514410^90009+5832190010Patrick De Geest11/2018
514510^90008+84790009Patrick De Geest09/2018
514610^90009-35601390009Patrick De Geest11/2018
51483^188648+9290008Lelio R Paula12/2015
514710^90008-70604990008Patrick De Geest11/2018
51495*2^298991+790006Lelio R Paula08/2014
5150(25*2^298997+1)/326790005Lelio R Paula01/2013
515110^90000+886990001Patrick De Geest12/2009
515310^89999+8293990000Dirk Augustin04/2007
515210^90000-14034390000Patrick De Geest12/2009
515410^89999-19489189999Patrick De Geest11/2009
515519^70365-7889980Lelio R Paula12/2015
5156NaturalLogarithmOf2(89973)89973Eric W. Weisstein10/2015
51572^298852-6487589964Lelio R Paula11/2013
515818^71659+3789952Lelio R Paula12/2015
5159(2908*29^61501-3)/789942Curtis Bright05/2015
516017^73067+2089906Lelio R Paula11/2015
51612^298637-9989899Lelio R Paula10/2012
51629^94188+3*8^94188-2*4^94188-3*2^9418889879Mike Oakes01/2011
51639*10^89858+1989859Robert Price05/2016
51642^298501+187006789858Enzo Doria05/2016
516511^86280-9889852Lelio R Paula11/2015
51662^298473-11005989850Enzo Doria04/2014
516719^70263-3289850Lelio R Paula12/2015
5168(299*10^89836-17)/389838Robert Price01/2017
51693^188286+1489836Robert Price09/2013
5170gcd(V(1091095),5*F(218219)*(F(218219)+1)+1)89822Serge Batalov04/2015
51712^298367+5890589818Lelio R Paula11/2013
51722^298319-10965789803Enzo Doria04/2014
51738*10^89800+8189801Robert Price05/2017
517418^71505-9189759Lelio R Paula12/2015
5175(7^106187+1)/889738Paul Bourdelais04/2008
51762^298079-10953189731Enzo Doria04/2014
5177117^43380+11689718Norbert Schneider08/2018
5178(22699*2^298016+1)/38589714Lelio R Paula06/2014
5179156*(10^(4*22427)-1)/101-189709Robert Price05/2014
51802^298003-6694589708Lelio R Paula11/2013
5181(23*10^89705-83)/389706Robert Price09/2017
518217^72900-5489700Lelio R Paula11/2015
51833*2^297956+589695Lelio R Paula08/2014
518420^68938-1189691Lelio R Paula01/2016
518589*10^89687-789689Robert Price03/2017
5186(297847^16384+1)/289686Richard Fischer08/2019
51872^297923+7778389684Enzo Doria05/2016
518811^86107-2457600089672Enzo Doria02/2013
51892^297878-11191189671Enzo Doria05/2014
51907^106084+4089652Lelio R Paula10/2015
5191(86*10^89640-311)/989641Robert Price10/2017
51923*10^89608-5989609Robert Price10/2017
51933^187780-1103889594Enzo Doria05/2014
5194(13*2^297560-1)/4915178789568Lelio R Paula02/2014
51955^128141-3689567Lelio R Paula10/2015
51964*7^105951+989540Lelio R Paula10/2014
5197(7*10^89539-439)/989539Robert Price09/2017
51982^297397+17725789526Enzo Doria05/2016
52002^297346-1624189511Enzo Doria04/2013
5199(5*10^89510+79)/389511Robert Price11/2017
52014^148663-3^14866389505Jean-Louis Charton11/2005
52022^297328-86968810589505Lelio R Paula07/2016
52032^297325-45904389504Enzo Doria05/2015
52042^297310-11239189500Enzo Doria06/2014
52052^297296-11215789496Enzo Doria06/2014
520657^50966-289490Lelio R Paula08/2013
5207(266*10^89482+1)/389484Robert Price02/2016
5208(14*10^89480-101)/389481Robert Price04/2017
52092^297122+9989443Lelio R Paula10/2012
5210(3^187435-5)/128689427Lelio R Paula01/2013
5211(25*10^89413+161)/389414Robert Price01/2017
52122^296990+187069989403Enzo Doria05/2016
52132^296972-101789398Lelio R Paula11/2013
5214(7*10^89383+167)/389384Robert Kinser10/2017
5215(85*10^89375-31)/989376Robert Price11/2015
52169*2^296870+789368Lelio R Paula08/2014
5217100^44683-99^4468389366Robert Price07/2013
52182^296810+7651989349Enzo Doria05/2016
52198^98928+7^(98928+1)89341Robert Price06/2016
5220(3^187247+4)/102789337Lelio R Paula01/2013
5221(3^187235-2)/204589331Lelio R Paula01/2013
52222^296736-43214989327Paul Bourdelais05/2013
52232^296737-11251989327Enzo Doria06/2014
52242^296718-364589322Lelio R Paula11/2013
52252^296681-1622189310Enzo Doria04/2013
52262^296669-1651389307Enzo Doria04/2013
52272^296619-1635789292Enzo Doria04/2013
52282^296614-11005189290Enzo Doria04/2014
5229(3^187138+8)/8314789283Lelio R Paula01/2013
5230(2*10^89279+457)/989279Robert Price01/2017
523115^75907-2889274Lelio R Paula11/2015
52322^296547-3789270Yves Minet01/2012
52332^296485+19189251Lelio R Paula10/2012
52342^296467-7589246Lelio R Paula10/2012
52352^296416-10953589231Enzo Doria04/2014
5236(23*2^296406+1)/389228Lelio R Paula01/2013
523766^49037-6589225Norbert Schneider11/2014
52382^296377-1624589219Enzo Doria04/2013
52392^296372-6487589217Lelio R Paula11/2013
52405*6^114648-789215Lelio R Paula10/2014
52413*10^89206+1389207Robert Price08/2017
52427*3^186960-489204Lelio R Paula08/2014
52432^296290-11213389193Enzo Doria06/2014
52446^114620-1700389192Enzo Doria02/2013
5245(4*10^89189+41)/989189Robert Price11/2014
52462^296261-16118189184Enzo Doria04/2013
5247(19*2^296269-1)/53062389182Lelio R Paula02/2014
52483^186903-1089176Robert Price09/2013
52497*10^89169-389170Dmitry Domanov11/2010
5250(2^296221-1017)/3589170Lelio R Paula01/2013


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: October, 13 2019 10:51 (Time in France)

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