PRP Records

Probable Primes Top 10000

(183432 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 (> 30000) Who ? When ?
40014*7^105951+989540Lelio R Paula10/2014
4002(7*10^89539-439)/989539Robert Price09/2017
40032^297397+17725789526Enzo Doria05/2016
40042^297346-1624189511Enzo Doria04/2013
40064^148663-3^14866389505Jean-Louis Charton11/2005
40052^297328-86968810589505Lelio R Paula07/2016
40072^297325-45904389504Enzo Doria05/2015
40082^297310-11239189500Enzo Doria06/2014
40092^297296-11215789496Enzo Doria06/2014
401057^50966-289490Lelio R Paula08/2013
4011(266*10^89482+1)/389484Robert Price02/2016
4012(14*10^89480-101)/389481Robert Price04/2017
40132^297122+9989443Lelio R Paula10/2012
4014(3^187435-5)/128689427Lelio R Paula01/2013
4015(25*10^89413+161)/389414Robert Price01/2017
40162^296990+187069989403Enzo Doria05/2016
40172^296972-101789398Lelio R Paula11/2013
4018(7*10^89383+167)/389384Robert Kinser10/2017
4019(85*10^89375-31)/989376Robert Price11/2015
40209*2^296870+789368Lelio R Paula08/2014
4021100^44683-99^4468389366Robert Price07/2013
40222^296810+7651989349Enzo Doria05/2016
40238^98928+7^(98928+1)89341Robert Price06/2016
4024(3^187247+4)/102789337Lelio R Paula01/2013
4025(3^187235-2)/204589331Lelio R Paula01/2013
40262^296736-43214989327Paul Bourdelais05/2013
40272^296737-11251989327Enzo Doria06/2014
40282^296718-364589322Lelio R Paula11/2013
40292^296681-1622189310Enzo Doria04/2013
40302^296669-1651389307Enzo Doria04/2013
40312^296619-1635789292Enzo Doria04/2013
40322^296614-11005189290Enzo Doria04/2014
4033(3^187138+8)/8314789283Lelio R Paula01/2013
4034(2*10^89279+457)/989279Robert Price01/2017
403515^75907-2889274Lelio R Paula11/2015
40362^296547-3789270Yves Minet01/2012
40372^296485+19189251Lelio R Paula10/2012
40382^296467-7589246Lelio R Paula10/2012
40392^296416-10953589231Enzo Doria04/2014
4040(23*2^296406+1)/389228Lelio R Paula01/2013
404166^49037-6589225Norbert Schneider11/2014
40422^296377-1624589219Enzo Doria04/2013
40432^296372-6487589217Lelio R Paula11/2013
40445*6^114648-789215Lelio R Paula10/2014
40453*10^89206+1389207Robert Price08/2017
40467*3^186960-489204Lelio R Paula08/2014
40472^296290-11213389193Enzo Doria06/2014
40486^114620-1700389192Enzo Doria02/2013
4049(4*10^89189+41)/989189Robert Price11/2014
40502^296261-16118189184Enzo Doria04/2013
4051(19*2^296269-1)/53062389182Lelio R Paula02/2014
40523^186903-1089176Robert Price09/2013
40547*10^89169-389170Dmitry Domanov11/2010
4053(2^296221-1017)/3589170Lelio R Paula01/2013
4055(10^89160+29)/389160Serge Batalov12/2014
4056(28*10^89141-97)/389142Robert Price07/2016
40572^296116-73463989140Paul Bourdelais04/2013
40586^114544-13389133Lelio R Paula12/2015
40592^296076-11329789128Enzo Doria07/2014
4060(11*2^296060-1)/21589122Lelio R Paula02/2014
40615*10^89118+8189119Robert Price08/2017
40622^296037-141189117Yves Minet01/2013
40632^296020-260480989111Enzo Doria05/2015
40642^296016+8189110Henri Lifchitz02/2007
40652^296010-1189108Lelio R Paula10/2012
40662^295998-11191189105Enzo Doria05/2014
4067(2^296014+47)/9399114989102Lelio R Paula01/2013
40682^295939-1662189087Enzo Doria04/2013
40692^295934-10969189086Enzo Doria04/2014
4070(185*10^89063+7)/389065Robert Price02/2017
40712^295831+14389055Lelio R Paula10/2012
407231^59713-3089054Theodore Burton02/2007
4073(7*2^295834-1)/2766389052Lelio R Paula02/2014
4074123^42608+289047Lelio R Paula05/2013
40756^114433-114433^689047Norbert Schneider04/2017
40762^295800-45965989045Enzo Doria05/2015
4077(52*10^89037-1)/389039Robert Price02/2017
4078(6^114398-11)/589019Paul Bourdelais11/2011
407911^85470-585089008Enzo Doria02/2013
4080(27*2^295634+1)/468788993Lelio R Paula01/2013
4081(p(18424)#-4)/288985Robert Price09/2017
40822^295564-18988974Lelio R Paula10/2012
40832^295557+7309788972Enzo Doria04/2016
408411^85433-576088970Enzo Doria01/2013
408515^75619-8888935Lelio R Paula11/2015
40862^295385-8588920Lelio R Paula10/2012
40872^295385-1633388920Enzo Doria04/2013
40882^295309+5988897Lelio R Paula10/2012
40892^295288-10979988891Enzo Doria04/2014
40902^295245+6588878Lelio R Paula10/2012
4091Padovan(727734)88874Eric W. Weisstein04/2011
409218^70793-1788865Lelio R Paula11/2015
40936^114196-1757388862Enzo Doria02/2013
4094302^35829+35829^30288857Norbert Schneider12/2014
40953^186223+1688851Robert Price10/2013
40963*2^295139+788847Lelio R Paula08/2014
40973^186212-11300888846Enzo Doria07/2014
409887^45803-8688836Norbert Schneider11/2015
40992^295094-11027388833Enzo Doria05/2014
41002^295080+186915188828Enzo Doria05/2016
41012^295027-11340788812Enzo Doria07/2014
4102(2*10^88808-71)/388808Robert Price01/2017
410313^79722-8088806Lelio R Paula11/2015
41043^186103+10488794Lelio R Paula12/2015
4105(3*2^294971+1)/2556588792Lelio R Paula01/2013
41062^294937-11500388785Enzo Doria06/2015
41072^294868-10970988765Enzo Doria04/2014
41082^294864-298588763Yves Minet09/2014
4109(17*10^88761-41)/388762Robert Price09/2017
41102^294754+1501588730Lelio R Paula10/2013
4111(3^185951-7)/2088720Lelio R Paula01/2013
4112(2^294661+5)/44369338388694Lelio R Paula01/2013
4113(10^88680+11)/388680Robert Price11/2014
41142*7^104928-988675Lelio R Paula10/2014
411511^85150+1288675Lelio R Paula11/2015
41168*6^113951+588673Lelio R Paula10/2014
41176^113940-1856388663Enzo Doria03/2013
411838^56123-56123^3888663Norbert Schneider02/2017
41192^294492-6588651Lelio R Paula10/2012
412020^68120-5388627Lelio R Paula01/2016
41212^294391-11325788621Enzo Doria07/2014
41225^126784-1547688619Enzo Doria02/2013
41232^294327+988602Lelio R Paula10/2012
41242^294320+1891588600Lelio R Paula10/2013
4125(98*10^88595-89)/9988595Ray Chandler07/2011
4126(17*2^294262-1)/1388582Lelio R Paula02/2014
4127(2*10^88545+7)/988545Erik Branger03/2011
41282^294137-13388545Lelio R Paula10/2012
4129(2^294092-1017)/117188528Lelio R Paula01/2013
41304^147036+147036^4+188525Robert Price04/2014
4131(14^77213-5^77213)/988496Robert Price04/2013
41322^293965+279337788493Enzo Doria03/2016
413311^84971-15088489Enzo Doria08/2012
4134(2^293956-1017)/3985137669667788476Lelio R Paula01/2013
413511^84958-219088475Enzo Doria12/2012
41362^293880-11134788467Enzo Doria05/2014
4137(106*10^88459-1)/388461Serge Batalov12/2014
413810^88457+27873388458Patrick De Geest07/2017
413910^88457-40188457Robert Price06/2017
414011^84908-168088423Enzo Doria12/2012
41412^293679-11207588407Enzo Doria06/2014
41426^113608-6588405Lelio R Paula12/2015
41432^293624+8287588390Lelio R Paula10/2013
41442^293612-11233788387Enzo Doria06/2014
4145758^30693+30693^75888386Norbert Schneider05/2017
4146gcd(V(1062695),5*F(212539)*(F(212539)-1)+1)88383Serge Batalov04/2015
41475*10^88377+7788378Robert Price06/2016
4148(5*2^293526+1)/30388359Lelio R Paula01/2013
41492^293461-278584388341Enzo Doria03/2016
41502^293416-103788328Yves Minet11/2012
4151(2^293384-7)/388317Lelio R Paula01/2013
4152(3^185092-5)/488311Lelio R Paula01/2013
415314^77039-5788297Lelio R Paula11/2015
41543*10^88293-5988294Robert Price10/2017
41555^126303+4288283Lelio R Paula10/2015
415619^69025-1888266Theodore Burton01/2006
41575*10^88261-388262Dmitry Domanov11/2010
41588^97731-7^(97731-1)88260Robert Price04/2016
41595*10^88254+5988255Robert Price09/2016
41604*3^184968-788253Lelio R Paula08/2014
41617^104426+8888251Lelio R Paula10/2015
41622^293142+9988245Lelio R Paula10/2012
416311^84736-213088244Enzo Doria12/2012
41642^293068-8988223Lelio R Paula10/2012
41652^293014-10965588207Enzo Doria04/2014
41668*7^104371-388205Lelio R Paula10/2014
41672^292995-214588201Lelio R Paula10/2013
41685*10^88182+7788183Robert Price06/2016
41692^292929+4387788181Donovan Johnson04/2005
41706^113321+13188181Lelio R Paula12/2015
41712^292904-58394988173Paul Bourdelais04/2013
41722^292894-11185188170Enzo Doria05/2014
41732^292872-279734988164Enzo Doria03/2016
41742^292860-10968588160Enzo Doria04/2014
41759*6^113288-588157Lelio R Paula10/2014
4176(2*10^88112-23)/388112Robert Price09/2017
4177(73*10^88105+17)/988106Robert Price10/2015
417811^84588+7888090Lelio R Paula11/2015
4179(265*10^88077+11)/388079Robert Price03/2017
418091^44959-90^4495988077Robert Price07/2015
41816^113177-5^11317788069Jean-Louis Charton01/2009
4182(10^88020+101)/388020Robert Price04/2016
4183(10^(2*43982+1)-6*10^43982-1)/387965Robert Price02/2016
4184p(18225)#/2+12887929Robert Price04/2017
41854*6^112977+787914Lelio R Paula10/2014
418614^76677+6987882Lelio R Paula11/2015
4187(22*10^87863-1)/387864Robert Price12/2014
41882^291822-279781187848Enzo Doria04/2016
41892^291716-11138987816Enzo Doria05/2014
4190(782*10^87809-71)/987811Robert Price06/2017
41913^184039+182087809Lelio R Paula12/2015
419212^81356+4187798Lelio R Paula11/2015
41936^112792-1898387770Enzo Doria03/2013
41943*6^112787-587766Lelio R Paula10/2014
41957^103848+8287762Lelio R Paula10/2015
4196(19*2^291534-1)/17869639587754Lelio R Paula02/2014
4197(3^183915+5)/12887748Lelio R Paula01/2013
419819^68619+2487747Lelio R Paula12/2015
42002^291480+118587745Lelio R Paula10/2013
41992^291482+186736987745Enzo Doria03/2016
42012^291467-93787741Yves Minet05/2013
4202(25*10^87726+161)/387727Robert Price01/2017
420311^84239-285087726Enzo Doria12/2012
420410^87720+21554187721Patrick De Geest01/2011
420510^87720-387720Markus Tervooren07/2010
4206(2^291357+5)/684787704Lelio R Paula01/2013
420893^44541-287679Lelio R Paula09/2013
42072^291261-10956187679Enzo Doria04/2014
4209(4*10^87669+149)/987669Robert Price03/2017
42102^291217+425787666Lelio R Paula10/2013
42112*12^81214-5^8121487645Mike Oakes12/2010
421212^81188+8587617Lelio R Paula11/2015
4213(21*2^290980-1)/587595Lelio R Paula02/2014
42142^290958+12787588Lelio R Paula09/2012
42152^290923-6787577Lelio R Paula09/2012
42163*10^87573-9787574Robert Price08/2017
4217(13*10^87565+11)/387566Robert Price05/2015
4218(2^290857-7)/5587555Lelio R Paula01/2013
42192^290802+8287587541Lelio R Paula10/2013
4220(509203*2^290792-1)/756098787536Lelio R Paula04/2015
42213^183441+23687524Lelio R Paula12/2015
42222^290618-3387485Lelio R Paula09/2012
4223(184*10^87473-1)/387475Robert Price02/2017
42242^290534-11515187460Enzo Doria06/2015
42252^290512-10975787453Enzo Doria04/2014
4226(32*10^87448-41)/987449Robert Price05/2015
4227(2^290491+9)/317987444Lelio R Paula01/2013
4228(25*2^290489-1)/5180987443Lelio R Paula02/2014
42292^290426+8287587427Lelio R Paula11/2013
42303*2^290415-787425Lelio R Paula08/2014
423110^87408+5787409Robert Price03/2011
42322^290366+7477987409Enzo Doria04/2016
423310^87408-12356987408Patrick De Geest07/2013
42342^290265+5890587379Lelio R Paula10/2013
42357^103391+1687376Lelio R Paula10/2015
4236(92^44491-1)/9187369Paul Bourdelais08/2017
42378*7^103379+387367Lelio R Paula10/2014
4238(2^290226+7)/7187365Lelio R Paula01/2013
423913^78407-3087341Lelio R Paula11/2015
42404*10^87337-9987338Robert Price12/2016
42417*10^87319+3987320Robert Price07/2016
42423*5^124921+287317Lelio R Paula10/2014
42433^182984+8887306Lelio R Paula12/2015
42444*10^87287-9987288Robert Price12/2016
424511^83813-186087283Enzo Doria12/2012
4246734^30453+30453^73487270Norbert Schneider04/2017
424712^80855+2987258Lelio R Paula11/2015
42483*6^112119-587247Lelio R Paula10/2014
424912^80806+7987205Lelio R Paula11/2015
425091382^9+9^9138287201Andrey Kulsha11/2004


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: October, 17 2017 09:44 (Time in France)

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