PRP Records

Probable Primes Top 10000

(255312 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 ?
47512^304578-1671391688Enzo Doria05/2013
47526^117824-1871391685Enzo Doria03/2013
4753(17^74509-1)/1691679Paul Bourdelais03/2010
4754(2^304551-7)/891223191673Lelio R Paula06/2013
4755(2^304532-3)/301391670Lelio R Paula06/2013
47562^304507-1664591666Enzo Doria04/2013
4757(29*2^304489+1)/3191661Lelio R Paula09/2013
47582^304471-183612791655Enzo Doria04/2015
47592^304433+3276991644Lelio R Paula02/2016
47602^304410-1662591637Enzo Doria04/2013
4761183^40500-291630Lelio R Paula10/2017
4762(203*10^91613+1)/391615Robert Price09/2017
47634*5^131052+791603Lelio R Paula10/2014
47642^304278-400191597Yves Minet04/2017
47652^304272-186637791595Enzo Doria03/2016
47662^304268+1968391594Lelio R Paula02/2016
47672^304162-16191562Lelio R Paula11/2012
47685*7^108331+691552Lelio R Paula10/2014
47692^304082-278782191538Enzo Doria03/2016
47702^304015+6413391518David Broadhurst06/2002
4771(7*2^303963+1)/391503Lelio R Paula09/2013
4772(2^303945-9)/361791494Lelio R Paula06/2013
47732^303930+188052791493Enzo Doria10/2016
47743^191684-6891457Lelio R Paula04/2016
4775(21*2^303813-1)/16991456Lelio R Paula02/2014
477611^87797-12091432Enzo Doria07/2012
47772^303698-184723191423Enzo Doria07/2015
4778(38^28933-1)^2-291416Norbert Schneider06/2016
47792^303554+7729991379Enzo Doria05/2016
47802^303542+1270591376Lelio R Paula02/2016
478131^61269-291375Lelio R Paula09/2013
47822^303516-6487591368Lelio R Paula02/2016
4783(24737*2^303428+1)/391345Lelio R Paula06/2014
4784(21181*2^303357+1)/3236191320Lelio R Paula06/2014
47852^303344-278696991316Enzo Doria03/2016
47866^117346+6591313Lelio R Paula05/2016
47872^303321+85591309Lelio R Paula02/2016
478812^84606+4791306Lelio R Paula06/2016
47892^303288+187431191299Enzo Doria06/2016
4790197^39788-291293Lelio R Paula10/2017
479111^87663-171091292Enzo Doria12/2012
47922^303224+253391280Henri Lifchitz05/2005
47936^117302+14391279Lelio R Paula05/2016
47943^191306-11288091277Enzo Doria07/2014
47952^303207+1291591275Lelio R Paula02/2016
47962^303191-11125991270Enzo Doria05/2014
479781539!4+3291267Robert Price09/2019
479910^91230+9^(91230+1)91231Robert Price08/2016
479810^91230+792191231Patrick De Geest11/2016
480110^91230-91114191230Patrick De Geest11/2016
480010^91229+34879391230Patrick De Geest07/2019
480210^91229-247191229Patrick De Geest01/2019
480310^91225+527191226Patrick De Geest01/2019
48056^117232-1742391225Enzo Doria02/2013
480410^91225-14721991225Patrick De Geest07/2019
48067*10^91215+391216Erik Branger11/2009
480710^91215+23061191216Patrick De Geest07/2019
480810^91215-453991215Patrick De Geest01/2019
480910^91210+242191211Patrick De Geest01/2019
481010^91210-173791210Patrick De Geest01/2019
481197*10^91205-391207Robert Price01/2017
48122^302979-16118191206Enzo Doria04/2013
48132^302949+8191197Henri Lifchitz02/2007
481410^91194+20036191195Patrick De Geest07/2019
48164*6^117192-591194Lelio R Paula10/2014
481510^91194-866391194Patrick De Geest01/2019
48172^302918+9991188Lelio R Paula11/2012
481810^91186+26811191187Patrick De Geest07/2019
481910^91186-776391186Patrick De Geest01/2019
482010^91181+55047191182Patrick De Geest07/2019
482110^91181-136791181Patrick De Geest01/2019
482210^91178+7188391179Patrick De Geest07/2019
482310^91178-471991178Patrick De Geest01/2019
482410^91165+304391166Patrick De Geest01/2019
482510^91165-39941391165Patrick De Geest07/2019
482610^91156+386191157Patrick De Geest01/2019
482710^91156-23149791156Patrick De Geest07/2019
48282^302797+186958791151Enzo Doria05/2016
4829265^37614+37614^26591148Norbert Schneider01/2015
48307^107852+8291146Lelio R Paula04/2016
4831(38*10^91144-11)/991145Robert Price05/2015
4832(55*10^91142+377)/991143Robert Price10/2017
483310^91128+996191129Patrick De Geest01/2019
4835249^38030+38030^24991128Norbert Schneider01/2015
483410^91128-18915391128Patrick De Geest07/2019
48366^117094-21104991117Mike Oakes05/2011
48372^302602-186718191093Enzo Doria03/2016
483810^91092+5612791093Patrick De Geest07/2019
483910^91092-910791092Patrick De Geest01/2019
4840(1017*2^302592-1)/5391091Lelio R Paula04/2015
484115^77445-1691083Lelio R Paula07/2016
48422^302505+8191064Henri Lifchitz02/2007
48432^302496-11234991061Enzo Doria06/2014
484417^73999-7291052Lelio R Paula07/2016
484510^91047+933191048Patrick De Geest01/2019
484610^91047-67116991047Patrick De Geest07/2019
484710^91044+207791045Patrick De Geest01/2019
484810^91044-13635991044Patrick De Geest07/2019
484910^91041+934991042Patrick De Geest01/2019
485010^91041-782391041Patrick De Geest01/2019
485110^91040+407791041Patrick De Geest01/2019
485210^91040-11942191040Patrick De Geest07/2019
485310^91037+276991038Patrick De Geest01/2019
485410^91037-2264991037Patrick De Geest07/2019
4855(16*10^91032+41)/391033Robert Price10/2017
485610^91023+5803991024Patrick De Geest07/2019
485710^91023-647191023Patrick De Geest01/2019
485810^91018+787391019Patrick De Geest01/2019
485910^91018-33317791018Patrick De Geest07/2019
486010^91017+6876791018Patrick De Geest07/2019
486110^91017-42832791017Patrick De Geest07/2019
486210^91016+7311191017Patrick De Geest07/2019
486310^91016-797391016Patrick De Geest01/2019
48642^302332+57729457591012Lelio R Paula08/2016
486510^91004+907391005Patrick De Geest01/2019
486610^91004-49151991004Patrick De Geest07/2019
486710^91003+7426991004Patrick De Geest07/2019
486810^91003-390391003Patrick De Geest01/2019
48692^302274+7420990994Enzo Doria04/2016
487010^90991+8114790992Patrick De Geest07/2019
487110^90991-627990991Patrick De Geest01/2019
487210^90983+139390984Patrick De Geest01/2019
487310^90983-56238390983Patrick De Geest07/2019
4874(311^36497-1)/31090976Eric Chen09/2017
4875(3^190668+2)/8990970Lelio R Paula04/2013
48762^302188+9019590968Lelio R Paula02/2016
4878(53*10^90965-71)/990966Robert Price09/2015
487710^90965+57398790966Patrick De Geest07/2019
487910^90965-683390965Patrick De Geest01/2019
488010^90964+4878990965Patrick De Geest07/2019
488110^90964-5210390964Patrick De Geest07/2019
488210^90963+19188990964Patrick De Geest07/2019
488310^90963-365990963Patrick De Geest01/2019
488410^90962+765790963Patrick De Geest01/2019
488510^90962-21563390962Patrick De Geest07/2019
488610^90961+6747190962Patrick De Geest07/2019
488710^90961-21104390961Patrick De Geest07/2019
488810^90960+107211790961Patrick De Geest07/2019
488910^90959+879190960Patrick De Geest01/2019
489010^90960-61065990960Patrick De Geest07/2019
489110^90959-27521390959Patrick De Geest07/2019
489210^90948+986790949Patrick De Geest01/2019
489310^90948-10923990948Patrick De Geest07/2019
48942^302113+7410590946Enzo Doria04/2016
48952^302102-655590942Lelio R Paula02/2016
489610^90930+9522390931Patrick De Geest07/2019
489710^90930-362390930Patrick De Geest01/2019
4898156*(10^(4*22731)-1)/101-190925Robert Price05/2014
48993^190568+3890925Lelio R Paula04/2016
490010^90917+17986390918Patrick De Geest07/2019
490110^90917-669390917Patrick De Geest01/2019
49022^302009-1644990914Enzo Doria04/2013
490310^90908+318190909Patrick De Geest01/2019
490410^90908-13951190908Patrick De Geest07/2019
490510^90904+10694790905Patrick De Geest07/2019
490610^90904-516990904Patrick De Geest01/2019
490710^90903+12096390904Patrick De Geest07/2019
490810^90902+261390903Patrick De Geest01/2019
490910^90903-19073790903Patrick De Geest07/2019
491010^90902-95232990902Patrick De Geest07/2019
4911(17*2^301951-1)/16590896Lelio R Paula02/2014
49123^190497+7490891Lelio R Paula04/2016
4913(24737*2^301896+1)/39990882Lelio R Paula06/2014
491410^90880+570790881Patrick De Geest01/2019
491510^90880-15299390880Patrick De Geest07/2019
491618^72397+8990878Lelio R Paula06/2016
4917134^42719-13390868Norbert Schneider03/2019
49186^116769-4790864Lelio R Paula05/2016
491910^90858+23343390859Patrick De Geest07/2019
492010^90858-830190858Patrick De Geest01/2019
492110^90849+4014190850Patrick De Geest07/2019
492210^90849-472190849Patrick De Geest01/2019
49232^301712-46590825Lelio R Paula02/2016
49242^301693-6990819Lelio R Paula11/2012
49252^301683-301683^290816Henri Lifchitz05/2005
492610^90807+727990808Patrick De Geest01/2019
492710^90807-16226390807Patrick De Geest07/2019
492810^90800-645390800Patrick De Geest11/2018
492911^87187-171090796Enzo Doria12/2012
49305*10^90793+2190794Robert Price01/2017
4931(22*10^90792-13)/990793Robert Price03/2015
49322^301591-161590788Lelio R Paula02/2016
4933(52^52901+1)/5390777Paul Bourdelais08/2017
49342^301546-10903790775Enzo Doria04/2014
493510^90772+402990773Patrick De Geest11/2018
493610^90772-3662790772Patrick De Geest07/2019
493710^90771+6773790772Patrick De Geest07/2019
493810^90771-44100390771Patrick De Geest07/2019
493910^90770+2894190771Patrick De Geest07/2019
494010^90770-43190770Patrick De Geest11/2018
494114^79195-390768Lelio R Paula06/2016
494210^90766+87790767Patrick De Geest11/2018
49452^301517-186169390766Enzo Doria11/2015
494310^90766-10924190766Patrick De Geest07/2019
494410^90765+48536190766Patrick De Geest07/2019
494610^90765-479790765Patrick De Geest11/2018
494710^90757+757390758Patrick De Geest11/2018
494810^90757-55497990757Patrick De Geest07/2019
494910^90756+43810990757Patrick De Geest07/2019
495010^90756-872790756Patrick De Geest11/2018
495110^90749+82390750Patrick De Geest11/2018
49542^301460-17390749Lelio R Paula11/2012
495210^90748+421390749Patrick De Geest11/2018
495310^90749-13041390749Patrick De Geest07/2019
495510^90748-7541190748Patrick De Geest07/2019
495610^90747+43847190748Patrick De Geest07/2019
495710^90747-927990747Patrick De Geest11/2018
4958(85*10^90745-103)/990746Robert Price10/2017
495910^90726+407790727Patrick De Geest11/2018
496010^90726-50495190726Patrick De Geest07/2019
496110^90721+18190722Patrick De Geest11/2018
496210^90721-17714990721Patrick De Geest07/2019
49632^301312-8990704Lelio R Paula11/2012
496410^90696+634990697Patrick De Geest11/2018
49662^301285-12990696Lelio R Paula11/2012
496510^90696-63504990696Patrick De Geest07/2019
49672^301282-10999190695Enzo Doria04/2014
496810^90690+887790691Patrick De Geest11/2018
496910^90690-22743390690Patrick De Geest07/2019
497010^90683+6141190684Patrick De Geest07/2019
497110^90683-257790683Patrick De Geest11/2018
49722^301228-185426990679Enzo Doria09/2015
4973(151*10^90669-1)/390671Robert Price04/2017
4974(32*10^90669+13)/990670Robert Price04/2015
497510^90669+979390670Patrick De Geest11/2018
497610^90669-22393190669Patrick De Geest07/2019
497710^90665+1098990666Patrick De Geest07/2019
497810^90665-308790665Patrick De Geest11/2018
497910^90662+8963790663Patrick De Geest07/2019
498010^90662-951990662Patrick De Geest11/2018
498110^90661+237390662Patrick De Geest11/2018
498210^90661-19478190661Patrick De Geest07/2019
49833*5^129698+890656Lelio R Paula10/2014
4984F(433781)90655Henri Lifchitz09/2003
498519^70891+8290653Lelio R Paula06/2016
4986(29*2^301124-1)/1390648Lelio R Paula02/2014
498710^90636+6415990637Patrick De Geest07/2019
498810^90636-310190636Patrick De Geest11/2018
49897*3^189953-890632Lelio R Paula08/2014
499010^90626+33928990627Patrick De Geest07/2019
499110^90626-113190626Patrick De Geest11/2018
499211^87022-180090625Enzo Doria12/2012
499310^90623+86190624Patrick De Geest11/2018
499410^90623-30584190623Patrick De Geest07/2019
4995(2^301042+47)/1203696990616Lelio R Paula06/2013
49972^301004-278693990612Enzo Doria03/2016
499610^90611+16997790612Patrick De Geest07/2019
499910^90611-973790611Patrick De Geest11/2018
499810^90610+3674790611Patrick De Geest07/2019
500010^90609+682390610Patrick De Geest11/2018


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: December, 14 2019 11:13 (Time in France)

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