PRP Records

Probable Primes Top 10000

(180278 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) !!!


Submit your PRPs


See the Top discoverers
See the Latest PRPs
Search by form



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 ?
375197*10^91205-391207Robert Price01/2017
37522^302979-16118191206Enzo Doria04/2013
37532^302949+8191197Henri Lifchitz02/2007
37544*6^117192-591194Lelio R Paula10/2014
37552^302918+9991188Lelio R Paula11/2012
37562^302797+186958791151Enzo Doria05/2016
3757265^37614+37614^26591148Norbert Schneider01/2015
37587^107852+8291146Lelio R Paula04/2016
3759(38*10^91144-11)/991145Robert Price05/2015
3760249^38030+38030^24991128Norbert Schneider01/2015
37616^117094-21104991117Mike Oakes05/2011
37622^302602-186718191093Enzo Doria03/2016
3763(1017*2^302592-1)/5391091Lelio R Paula04/2015
376415^77445-1691083Lelio R Paula07/2016
37652^302505+8191064Henri Lifchitz02/2007
37662^302496-11234991061Enzo Doria06/2014
376717^73999-7291052Lelio R Paula07/2016
37682^302332+57729457591012Lelio R Paula08/2016
37692^302274+7420990994Enzo Doria04/2016
3770(3^190668+2)/8990970Lelio R Paula04/2013
37712^302188+9019590968Lelio R Paula02/2016
3772(53*10^90965-71)/990966Robert Price09/2015
37732^302113+7410590946Enzo Doria04/2016
37742^302102-655590942Lelio R Paula02/2016
3775156*(10^(4*22731)-1)/101-190925Robert Price05/2014
37763^190568+3890925Lelio R Paula04/2016
37772^302009-1644990914Enzo Doria04/2013
3778(17*2^301951-1)/16590896Lelio R Paula02/2014
37793^190497+7490891Lelio R Paula04/2016
3780(24737*2^301896+1)/39990882Lelio R Paula06/2014
378118^72397+8990878Lelio R Paula06/2016
37826^116769-4790864Lelio R Paula05/2016
37832^301712-46590825Lelio R Paula02/2016
37842^301693-6990819Lelio R Paula11/2012
37852^301683-301683^290816Henri Lifchitz05/2005
378611^87187-171090796Enzo Doria12/2012
37875*10^90793+2190794Robert Price01/2017
3788(22*10^90792-13)/990793Robert Price03/2015
37892^301591-161590788Lelio R Paula02/2016
37902^301546-10903790775Enzo Doria04/2014
379114^79195-390768Lelio R Paula06/2016
37922^301517-186169390766Enzo Doria11/2015
37932^301460-17390749Lelio R Paula11/2012
37942^301312-8990704Lelio R Paula11/2012
37952^301285-12990696Lelio R Paula11/2012
37962^301282-10999190695Enzo Doria04/2014
37972^301228-185426990679Enzo Doria09/2015
3798(151*10^90669-1)/390671Robert Price04/2017
3799(32*10^90669+13)/990670Robert Price04/2015
38003*5^129698+890656Lelio R Paula10/2014
3801F(433781)90655Henri Lifchitz09/2003
380219^70891+8290653Lelio R Paula06/2016
3803(29*2^301124-1)/1390648Lelio R Paula02/2014
38047*3^189953-890632Lelio R Paula08/2014
380511^87022-180090625Enzo Doria12/2012
3806(2^301042+47)/1203696990616Lelio R Paula06/2013
38072^301004-278693990612Enzo Doria03/2016
38082^300980-2790605Lelio R Paula11/2012
38092*10^90597-790598Dmitry Domanov11/2010
3810197^39485+290597Lelio R Paula06/2013
38117^107198+4890593Lelio R Paula04/2016
3812(86*10^90588+121)/990589Robert Price03/2017
38132^300923+5390587Lelio R Paula11/2012
38142^300874+790573Lelio R Paula10/2012
38155^129568-5690565Lelio R Paula04/2016
38162^300847-11283190564Enzo Doria06/2014
38172^300718+25525590526Lelio R Paula02/2016
38182^300637+9590501Lelio R Paula11/2012
38197^107087-2490500Lelio R Paula04/2016
3820(10^90499+3^90499)/1390498Robert Price01/2013
382113^81241+9090498Lelio R Paula06/2016
38226^116273-8590478Lelio R Paula05/2016
38236^116256-1757390465Enzo Doria02/2013
38242^300502+5461590461Lelio R Paula02/2016
3825(13*2^300487+1)/4590456Lelio R Paula09/2013
3826(3^189545-8)/590436Lelio R Paula01/2013
3827(7*2^300406-1)/390432Lelio R Paula02/2014
38284*5^129332+390400Lelio R Paula10/2014
38292^300249-1624590384Enzo Doria04/2013
3830(7*10^90371-313)/990371Robert Price11/2016
38312*6^116118+790358Lelio R Paula10/2014
3832(24737*2^300101+1)/2590343Lelio R Paula06/2014
38334*10^90334-2190335Robert Price04/2016
38342^300019-11033590315Enzo Doria05/2014
38352^299949-100590294Lelio R Paula11/2013
38362^299868-10961390270Enzo Doria04/2014
38375*2^299799-390250Lelio R Paula08/2014
383813^81008-290239Lelio R Paula09/2013
383964^49957-63^4995790232Robert Price07/2013
384010^90227+5628190228Patrick De Geest06/2016
38432^299725+31590227Lelio R Paula11/2013
384110^90227-100000000190227Robert Price05/2016
384210^90227-6876390227Patrick De Geest06/2016
38445^129082+4890225Lelio R Paula03/2016
38452^299699+19590219Lelio R Paula10/2012
3846(55*10^90211-1)/990212Ray Chandler02/2012
38473^189053+28090202Lelio R Paula04/2016
38482^299639-18790201Lelio R Paula10/2012
38492^299631+18390198Lelio R Paula10/2012
3850(21*2^299611-1)/2990192Lelio R Paula02/2014
38512^299567+11390179Lelio R Paula10/2012
38522^299550+18990174Lelio R Paula10/2012
3853(2^299535+3)/2990168Lelio R Paula01/2013
3854(97*10^90155-1)/390157Serge Batalov12/2014
38553^188938+868090147Lelio R Paula04/2016
38566^115840-5590142Lelio R Paula05/2016
38578*7^106659+590139Lelio R Paula10/2014
38582^299406-1665390131Enzo Doria05/2013
3859208049#+(216091#)/(208049#)90128Makoto Morimoto04/2016
3860(F(5)^128941-F(4)^128941)/F(3)90126Wayne Halsdorf03/2012
38616^115819-5390125Lelio R Paula05/2016
38626^115816-1685390123Enzo Doria02/2013
38636^115813-2390121Lelio R Paula05/2016
3864(22*10^90110+161)/390111Robert Price02/2017
3865(2^299330-509203)/6990106Lelio R Paula01/2013
3866(29*10^90096-17)/390097Erik Branger09/2014
38672^299247+187052990083Enzo Doria05/2016
38682^299229-279778390077Enzo Doria04/2016
38692^299220-1631790075Enzo Doria04/2013
387011^86491-135090072Enzo Doria12/2012
3871(31*10^90064-1)/390066Robert Price03/2017
3872L(430949)/861899/144038756153990045Serge Batalov07/2017
38732^299112+7395190042Enzo Doria04/2016
38748^99702+7^(99702-1)90040Robert Price02/2016
38755*10^90033+390034Dmitry Domanov11/2010
3876243^37738+37738^24390029Norbert Schneider01/2015
38772^299048-11329790023Enzo Doria07/2014
38783^188648+9290008Lelio R Paula12/2015
38795*2^298991+790006Lelio R Paula08/2014
3880(25*2^298997+1)/326790005Lelio R Paula01/2013
388110^90000+886990001Patrick De Geest12/2009
388310^89999+8293990000Dirk Augustin04/2007
388210^90000-14034390000Patrick De Geest12/2009
388410^89999-19489189999Patrick De Geest11/2009
388519^70365-7889980Lelio R Paula12/2015
3886NaturalLogarithmOf2(89973)89973Eric W. Weisstein10/2015
38872^298852-6487589964Lelio R Paula11/2013
388818^71659+3789952Lelio R Paula12/2015
3889(2908*29^61501-3)/789942Curtis Bright05/2015
389017^73067+2089906Lelio R Paula11/2015
38912^298637-9989899Lelio R Paula10/2012
38929^94188+3*8^94188-2*4^94188-3*2^9418889879Mike Oakes01/2011
38939*10^89858+1989859Robert Price05/2016
38942^298501+187006789858Enzo Doria05/2016
389511^86280-9889852Lelio R Paula11/2015
38962^298473-11005989850Enzo Doria04/2014
389719^70263-3289850Lelio R Paula12/2015
3898(299*10^89836-17)/389838Robert Price01/2017
38993^188286+1489836Robert Price09/2013
3900gcd(V(1091095),5*F(218219)*(F(218219)+1)+1)89822Serge Batalov04/2015
39012^298367+5890589818Lelio R Paula11/2013
39022^298319-10965789803Enzo Doria04/2014
39038*10^89800+8189801Robert Price05/2017
390418^71505-9189759Lelio R Paula12/2015
3905(7^106187+1)/889738Paul Bourdelais04/2008
39062^298079-10953189731Enzo Doria04/2014
3907(22699*2^298016+1)/38589714Lelio R Paula06/2014
3908156*(10^(4*22427)-1)/101-189709Robert Price05/2014
39092^298003-6694589708Lelio R Paula11/2013
391017^72900-5489700Lelio R Paula11/2015
39113*2^297956+589695Lelio R Paula08/2014
391220^68938-1189691Lelio R Paula01/2016
391389*10^89687-789689Robert Price03/2017
39142^297923+7778389684Enzo Doria05/2016
391511^86107-2457600089672Enzo Doria02/2013
39162^297878-11191189671Enzo Doria05/2014
39177^106084+4089652Lelio R Paula10/2015
39183^187780-1103889594Enzo Doria05/2014
3919(13*2^297560-1)/4915178789568Lelio R Paula02/2014
39205^128141-3689567Lelio R Paula10/2015
39214*7^105951+989540Lelio R Paula10/2014
39222^297397+17725789526Enzo Doria05/2016
39232^297346-1624189511Enzo Doria04/2013
39254^148663-3^14866389505Jean-Louis Charton11/2005
39242^297328-86968810589505Lelio R Paula07/2016
39262^297325-45904389504Enzo Doria05/2015
39272^297310-11239189500Enzo Doria06/2014
39282^297296-11215789496Enzo Doria06/2014
392957^50966-289490Lelio R Paula08/2013
3930(266*10^89482+1)/389484Robert Price02/2016
3931(14*10^89480-101)/389481Robert Price04/2017
39322^297122+9989443Lelio R Paula10/2012
3933(3^187435-5)/128689427Lelio R Paula01/2013
3934(25*10^89413+161)/389414Robert Price01/2017
39352^296990+187069989403Enzo Doria05/2016
39362^296972-101789398Lelio R Paula11/2013
3937(85*10^89375-31)/989376Robert Price11/2015
39389*2^296870+789368Lelio R Paula08/2014
3939100^44683-99^4468389366Robert Price07/2013
39402^296810+7651989349Enzo Doria05/2016
39418^98928+7^(98928+1)89341Robert Price06/2016
3942(3^187247+4)/102789337Lelio R Paula01/2013
3943(3^187235-2)/204589331Lelio R Paula01/2013
39452^296736-43214989327Paul Bourdelais05/2013
39442^296737-11251989327Enzo Doria06/2014
39462^296718-364589322Lelio R Paula11/2013
39472^296681-1622189310Enzo Doria04/2013
39482^296669-1651389307Enzo Doria04/2013
39492^296619-1635789292Enzo Doria04/2013
39502^296614-11005189290Enzo Doria04/2014
3951(3^187138+8)/8314789283Lelio R Paula01/2013
3952(2*10^89279+457)/989279Robert Price01/2017
395315^75907-2889274Lelio R Paula11/2015
39542^296547-3789270Yves Minet01/2012
39552^296485+19189251Lelio R Paula10/2012
39562^296467-7589246Lelio R Paula10/2012
39572^296416-10953589231Enzo Doria04/2014
3958(23*2^296406+1)/389228Lelio R Paula01/2013
395966^49037-6589225Norbert Schneider11/2014
39602^296377-1624589219Enzo Doria04/2013
39612^296372-6487589217Lelio R Paula11/2013
39625*6^114648-789215Lelio R Paula10/2014
39633*10^89206+1389207Robert Price08/2017
39647*3^186960-489204Lelio R Paula08/2014
39652^296290-11213389193Enzo Doria06/2014
39666^114620-1700389192Enzo Doria02/2013
3967(4*10^89189+41)/989189Robert Price11/2014
39682^296261-16118189184Enzo Doria04/2013
3969(19*2^296269-1)/53062389182Lelio R Paula02/2014
39703^186903-1089176Robert Price09/2013
39727*10^89169-389170Dmitry Domanov11/2010
3971(2^296221-1017)/3589170Lelio R Paula01/2013
3973(10^89160+29)/389160Serge Batalov12/2014
3974(28*10^89141-97)/389142Robert Price07/2016
39752^296116-73463989140Paul Bourdelais04/2013
39766^114544-13389133Lelio R Paula12/2015
39772^296076-11329789128Enzo Doria07/2014
3978(11*2^296060-1)/21589122Lelio R Paula02/2014
39792^296037-141189117Yves Minet01/2013
39802^296020-260480989111Enzo Doria05/2015
39812^296016+8189110Henri Lifchitz02/2007
39822^296010-1189108Lelio R Paula10/2012
39832^295998-11191189105Enzo Doria05/2014
3984(2^296014+47)/9399114989102Lelio R Paula01/2013
39852^295939-1662189087Enzo Doria04/2013
39862^295934-10969189086Enzo Doria04/2014
3987(185*10^89063+7)/389065Robert Price02/2017
39882^295831+14389055Lelio R Paula10/2012
398931^59713-3089054Theodore Burton02/2007
3990(7*2^295834-1)/2766389052Lelio R Paula02/2014
3992123^42608+289047Lelio R Paula05/2013
39916^114433-114433^689047Norbert Schneider04/2017
39932^295800-45965989045Enzo Doria05/2015
3994(52*10^89037-1)/389039Robert Price02/2017
3995(6^114398-11)/589019Paul Bourdelais11/2011
399611^85470-585089008Enzo Doria02/2013
3997(27*2^295634+1)/468788993Lelio R Paula01/2013
39982^295564-18988974Lelio R Paula10/2012
39992^295557+7309788972Enzo Doria04/2016
400011^85433-576088970Enzo Doria01/2013


Find by discoverer :


Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: August, 20 2017 08:36 (Time in France)

Go back
Valid XHTML 1.0!    Valid CSS!