PRP Records

Probable Primes Top 10000

(172142 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 ?
3751(13*2^297560-1)/4915178789568Lelio R Paula02/2014
37525^128141-3689567Lelio R Paula10/2015
37534*7^105951+989540Lelio R Paula10/2014
37542^297397+17725789526Enzo Doria05/2016
37552^297346-1624189511Enzo Doria04/2013
37574^148663-3^14866389505Jean-Louis Charton11/2005
37562^297328-86968810589505Lelio R Paula07/2016
37582^297325-45904389504Enzo Doria05/2015
37592^297310-11239189500Enzo Doria06/2014
37602^297296-11215789496Enzo Doria06/2014
376157^50966-289490Lelio R Paula08/2013
3762(266*10^89482+1)/389484Robert Price02/2016
37632^297122+9989443Lelio R Paula10/2012
3764(3^187435-5)/128689427Lelio R Paula01/2013
3765(25*10^89413+161)/389414Robert Price01/2017
37662^296990+187069989403Enzo Doria05/2016
37672^296972-101789398Lelio R Paula11/2013
3768(85*10^89375-31)/989376Robert Price11/2015
37699*2^296870+789368Lelio R Paula08/2014
3770100^44683-99^4468389366Robert Price07/2013
37712^296810+7651989349Enzo Doria05/2016
37728^98928+7^(98928+1)89341Robert Price06/2016
3773(3^187247+4)/102789337Lelio R Paula01/2013
3774(3^187235-2)/204589331Lelio R Paula01/2013
37762^296736-43214989327Paul Bourdelais05/2013
37752^296737-11251989327Enzo Doria06/2014
37772^296718-364589322Lelio R Paula11/2013
37782^296681-1622189310Enzo Doria04/2013
37792^296669-1651389307Enzo Doria04/2013
37802^296619-1635789292Enzo Doria04/2013
37812^296614-11005189290Enzo Doria04/2014
3782(3^187138+8)/8314789283Lelio R Paula01/2013
3783(2*10^89279+457)/989279Robert Price01/2017
378415^75907-2889274Lelio R Paula11/2015
37852^296547-3789270Yves Minet01/2012
37862^296485+19189251Lelio R Paula10/2012
37872^296467-7589246Lelio R Paula10/2012
37882^296416-10953589231Enzo Doria04/2014
3789(23*2^296406+1)/389228Lelio R Paula01/2013
379066^49037-6589225Norbert Schneider11/2014
37912^296377-1624589219Enzo Doria04/2013
37922^296372-6487589217Lelio R Paula11/2013
37935*6^114648-789215Lelio R Paula10/2014
37947*3^186960-489204Lelio R Paula08/2014
37952^296290-11213389193Enzo Doria06/2014
37966^114620-1700389192Enzo Doria02/2013
3797(4*10^89189+41)/989189Robert Price11/2014
37982^296261-16118189184Enzo Doria04/2013
3799(19*2^296269-1)/53062389182Lelio R Paula02/2014
38003^186903-1089176Robert Price09/2013
38027*10^89169-389170Dmitry Domanov11/2010
3801(2^296221-1017)/3589170Lelio R Paula01/2013
3803(10^89160+29)/389160Serge Batalov12/2014
3804(28*10^89141-97)/389142Robert Price07/2016
38052^296116-73463989140Paul Bourdelais04/2013
38066^114544-13389133Lelio R Paula12/2015
38072^296076-11329789128Enzo Doria07/2014
3808(11*2^296060-1)/21589122Lelio R Paula02/2014
38092^296037-141189117Yves Minet01/2013
38102^296020-260480989111Enzo Doria05/2015
38112^296016+8189110Henri Lifchitz02/2007
38122^296010-1189108Lelio R Paula10/2012
38132^295998-11191189105Enzo Doria05/2014
3814(2^296014+47)/9399114989102Lelio R Paula01/2013
38152^295939-1662189087Enzo Doria04/2013
38162^295934-10969189086Enzo Doria04/2014
3817(185*10^89063+7)/389065Robert Price02/2017
38182^295831+14389055Lelio R Paula10/2012
381931^59713-3089054Theodore Burton02/2007
3820(7*2^295834-1)/2766389052Lelio R Paula02/2014
3821123^42608+289047Lelio R Paula05/2013
38222^295800-45965989045Enzo Doria05/2015
3823(52*10^89037-1)/389039Robert Price02/2017
3824(6^114398-11)/589019Paul Bourdelais11/2011
382511^85470-585089008Enzo Doria02/2013
3826(27*2^295634+1)/468788993Lelio R Paula01/2013
38272^295564-18988974Lelio R Paula10/2012
38282^295557+7309788972Enzo Doria04/2016
382911^85433-576088970Enzo Doria01/2013
383015^75619-8888935Lelio R Paula11/2015
38312^295385-8588920Lelio R Paula10/2012
38322^295385-1633388920Enzo Doria04/2013
38332^295309+5988897Lelio R Paula10/2012
38342^295288-10979988891Enzo Doria04/2014
38352^295245+6588878Lelio R Paula10/2012
3836Padovan(727734)88874Eric W. Weisstein04/2011
383718^70793-1788865Lelio R Paula11/2015
38386^114196-1757388862Enzo Doria02/2013
3839302^35829+35829^30288857Norbert Schneider12/2014
38403^186223+1688851Robert Price10/2013
38413*2^295139+788847Lelio R Paula08/2014
38423^186212-11300888846Enzo Doria07/2014
384387^45803-8688836Norbert Schneider11/2015
38442^295094-11027388833Enzo Doria05/2014
38452^295080+186915188828Enzo Doria05/2016
38462^295027-11340788812Enzo Doria07/2014
3847(2*10^88808-71)/388808Robert Price01/2017
384813^79722-8088806Lelio R Paula11/2015
38493^186103+10488794Lelio R Paula12/2015
3850(3*2^294971+1)/2556588792Lelio R Paula01/2013
38512^294937-11500388785Enzo Doria06/2015
38522^294868-10970988765Enzo Doria04/2014
38532^294864-298588763Yves Minet09/2014
38542^294754+1501588730Lelio R Paula10/2013
3855(3^185951-7)/2088720Lelio R Paula01/2013
3856(2^294661+5)/44369338388694Lelio R Paula01/2013
3857(10^88680+11)/388680Robert Price11/2014
38582*7^104928-988675Lelio R Paula10/2014
385911^85150+1288675Lelio R Paula11/2015
38608*6^113951+588673Lelio R Paula10/2014
38616^113940-1856388663Enzo Doria03/2013
386238^56123-56123^3888663Norbert Schneider02/2017
38632^294492-6588651Lelio R Paula10/2012
386420^68120-5388627Lelio R Paula01/2016
38652^294391-11325788621Enzo Doria07/2014
38665^126784-1547688619Enzo Doria02/2013
38672^294327+988602Lelio R Paula10/2012
38682^294320+1891588600Lelio R Paula10/2013
3869(98*10^88595-89)/9988595Ray Chandler07/2011
3870(17*2^294262-1)/1388582Lelio R Paula02/2014
3871(2*10^88545+7)/988545Erik Branger03/2011
38722^294137-13388545Lelio R Paula10/2012
3873(2^294092-1017)/117188528Lelio R Paula01/2013
38744^147036+147036^4+188525Robert Price04/2014
3875(14^77213-5^77213)/988496Robert Price04/2013
38762^293965+279337788493Enzo Doria03/2016
387711^84971-15088489Enzo Doria08/2012
3878(2^293956-1017)/3985137669667788476Lelio R Paula01/2013
387911^84958-219088475Enzo Doria12/2012
38802^293880-11134788467Enzo Doria05/2014
3881(106*10^88459-1)/388461Serge Batalov12/2014
388211^84908-168088423Enzo Doria12/2012
38832^293679-11207588407Enzo Doria06/2014
38846^113608-6588405Lelio R Paula12/2015
38852^293624+8287588390Lelio R Paula10/2013
38862^293612-11233788387Enzo Doria06/2014
3887gcd(V(1062695),5*F(212539)*(F(212539)-1)+1)88383Serge Batalov04/2015
38885*10^88377+7788378Robert Price06/2016
3889(5*2^293526+1)/30388359Lelio R Paula01/2013
38902^293461-278584388341Enzo Doria03/2016
38912^293416-103788328Yves Minet11/2012
3892(2^293384-7)/388317Lelio R Paula01/2013
3893(3^185092-5)/488311Lelio R Paula01/2013
389414^77039-5788297Lelio R Paula11/2015
38955^126303+4288283Lelio R Paula10/2015
389619^69025-1888266Theodore Burton01/2006
38975*10^88261-388262Dmitry Domanov11/2010
38988^97731-7^(97731-1)88260Robert Price04/2016
38995*10^88254+5988255Robert Price09/2016
39004*3^184968-788253Lelio R Paula08/2014
39017^104426+8888251Lelio R Paula10/2015
39022^293142+9988245Lelio R Paula10/2012
390311^84736-213088244Enzo Doria12/2012
39042^293068-8988223Lelio R Paula10/2012
39052^293014-10965588207Enzo Doria04/2014
39068*7^104371-388205Lelio R Paula10/2014
39072^292995-214588201Lelio R Paula10/2013
39085*10^88182+7788183Robert Price06/2016
39102^292929+4387788181Donovan Johnson04/2005
39096^113321+13188181Lelio R Paula12/2015
39112^292904-58394988173Paul Bourdelais04/2013
39122^292894-11185188170Enzo Doria05/2014
39132^292872-279734988164Enzo Doria03/2016
39142^292860-10968588160Enzo Doria04/2014
39159*6^113288-588157Lelio R Paula10/2014
3916(73*10^88105+17)/988106Robert Price10/2015
391711^84588+7888090Lelio R Paula11/2015
3918(265*10^88077+11)/388079Robert Price03/2017
391991^44959-90^4495988077Robert Price07/2015
39206^113177-5^11317788069Jean-Louis Charton01/2009
3921(10^88020+101)/388020Robert Price04/2016
3922(10^(2*43982+1)-6*10^43982-1)/387965Robert Price02/2016
39234*6^112977+787914Lelio R Paula10/2014
392414^76677+6987882Lelio R Paula11/2015
3925(22*10^87863-1)/387864Robert Price12/2014
39262^291822-279781187848Enzo Doria04/2016
39272^291716-11138987816Enzo Doria05/2014
39283^184039+182087809Lelio R Paula12/2015
392912^81356+4187798Lelio R Paula11/2015
39306^112792-1898387770Enzo Doria03/2013
39313*6^112787-587766Lelio R Paula10/2014
39327^103848+8287762Lelio R Paula10/2015
3933(19*2^291534-1)/17869639587754Lelio R Paula02/2014
3934(3^183915+5)/12887748Lelio R Paula01/2013
393519^68619+2487747Lelio R Paula12/2015
39372^291480+118587745Lelio R Paula10/2013
39362^291482+186736987745Enzo Doria03/2016
39382^291467-93787741Yves Minet05/2013
3939(25*10^87726+161)/387727Robert Price01/2017
394011^84239-285087726Enzo Doria12/2012
394110^87720+21554187721Patrick De Geest01/2011
394210^87720-387720Markus Tervooren07/2010
3943(2^291357+5)/684787704Lelio R Paula01/2013
394593^44541-287679Lelio R Paula09/2013
39442^291261-10956187679Enzo Doria04/2014
39462^291217+425787666Lelio R Paula10/2013
39472*12^81214-5^8121487645Mike Oakes12/2010
394812^81188+8587617Lelio R Paula11/2015
3949(21*2^290980-1)/587595Lelio R Paula02/2014
39502^290958+12787588Lelio R Paula09/2012
39512^290923-6787577Lelio R Paula09/2012
3952(13*10^87565+11)/387566Robert Price05/2015
3953(2^290857-7)/5587555Lelio R Paula01/2013
39542^290802+8287587541Lelio R Paula10/2013
3955(509203*2^290792-1)/756098787536Lelio R Paula04/2015
39563^183441+23687524Lelio R Paula12/2015
39572^290618-3387485Lelio R Paula09/2012
3958(184*10^87473-1)/387475Robert Price02/2017
39592^290534-11515187460Enzo Doria06/2015
39602^290512-10975787453Enzo Doria04/2014
3961(32*10^87448-41)/987449Robert Price05/2015
3962(2^290491+9)/317987444Lelio R Paula01/2013
3963(25*2^290489-1)/5180987443Lelio R Paula02/2014
39642^290426+8287587427Lelio R Paula11/2013
39653*2^290415-787425Lelio R Paula08/2014
396710^87408+5787409Robert Price03/2011
39662^290366+7477987409Enzo Doria04/2016
396810^87408-12356987408Patrick De Geest07/2013
39692^290265+5890587379Lelio R Paula10/2013
39707^103391+1687376Lelio R Paula10/2015
39718*7^103379+387367Lelio R Paula10/2014
3972(2^290226+7)/7187365Lelio R Paula01/2013
397313^78407-3087341Lelio R Paula11/2015
39744*10^87337-9987338Robert Price12/2016
39757*10^87319+3987320Robert Price07/2016
39763*5^124921+287317Lelio R Paula10/2014
39773^182984+8887306Lelio R Paula12/2015
39784*10^87287-9987288Robert Price12/2016
397911^83813-186087283Enzo Doria12/2012
398012^80855+2987258Lelio R Paula11/2015
39813*6^112119-587247Lelio R Paula10/2014
398212^80806+7987205Lelio R Paula11/2015
398391382^9+9^9138287201Andrey Kulsha11/2004
3984(21181*2^289657+1)/8187198Lelio R Paula06/2014
39856^112054-4787195Lelio R Paula12/2015
3986(55459*2^289632+1)/5587191Lelio R Paula06/2014
398715^74131-6887185Lelio R Paula11/2015
39882^289583-74187174Lelio R Paula10/2013
39897^103146+1287169Lelio R Paula10/2015
39905*2^289556-387166Lelio R Paula08/2014
39912^289543-11273587162Enzo Doria06/2014
39928*3^182655-787150Lelio R Paula08/2014
39932*10^87144+8187145Robert Price01/2017
39947^103106+2*3^10310687135Mike Oakes08/2010
39958*3^182614+787130Lelio R Paula08/2014
3996(2^289368-509203)/987108Lelio R Paula01/2013
39973^182566+1487107Robert Price09/2013
3998(3^182385-5)/287020Lelio R Paula01/2013
399911^83534-886992Lelio R Paula11/2015
40004^144479-1426786986Mike Oakes03/2011


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: March, 18 2017 12:02 (Time in France)

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