PRP Records

Probable Primes Top 10000

(252402 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 ?
7512^670213+282317201755Enzo Doria09/2016
7522^669854-113501201647Enzo Doria08/2014
7532^669718+81619201606Enzo Doria08/2016
754(145*10^201504-1)/9201506Serge Batalov12/2014
7552^668938-1839821201371Enzo Doria06/2015
7562^668492+1879303201237Enzo Doria08/2016
7576^258413-5^258413201085Jean-Louis Charton03/2013
7582^667894+1875589201057Enzo Doria06/2016
7592^667569-1836559200959Enzo Doria05/2015
760(172*10^200746-1)/9200748Serge Batalov12/2014
7612^666430+782569200616Enzo Doria10/2016
762(86^103471+1)/87200163Paul Bourdelais05/2018
763103*(10^100000+20110)^2-4707*(10^100000+20110)+50383200003Robert Price05/2017
764103*(10^100000+33798)^2-4707*(10^100000+33798)+50383200003Robert Price01/2018
765numbpart(32235776596)200002Serge Batalov04/2017
766(10^200001+149)/3200001Serge Batalov12/2014
7672^662103-29287199313Enzo Doria08/2015
768(2*10^199283+457)/9199283Robert Price01/2018
769(10^199248-19)/9199248Robert Price01/2018
7702^660482-2891198825Yves Minet05/2016
7712^659583+1879223198555Enzo Doria08/2016
772(53*10^198529+1)/9198530Serge Batalov07/2010
7732^658828-29819198327Enzo Doria08/2015
7742^658776-2791229198312Enzo Doria01/2016
775(35*10^198294-377)/9198295Robert Price07/2018
776(4*10^198268+137)/3198269Robert Price03/2018
7772^658544-1854029198242Enzo Doria09/2015
778(157^90239-1)/156198154Alexander Zhirkov06/2016
779(4*10^197778+173)/3197779Robert Price02/2018
7802^656462+1874419197615Enzo Doria06/2016
781(89^101363+1)/90197595Paul Bourdelais11/2017
7822^655893-344563197444Enzo Doria07/2015
7832^655875+71333197439Enzo Doria04/2016
7842^655845-9197430Robert Price01/2017
7852^655682-1849121197380Enzo Doria08/2015
7864*10^197268-89197269Robert Price11/2018
7872^655045-49603197189Enzo Doria10/2015
7882^655000-2784089197175Enzo Doria10/2015
789(18^157051-1)/17197141Paul Bourdelais03/2010
7902^654400-39719196995Enzo Doria09/2015
791(14*10^196965-221)/9196966Robert Price04/2018
7922^654216-459995196939Enzo Doria06/2015
7933*10^196881-59196882Robert Price09/2018
7942^653851+82295196829Enzo Doria09/2016
795(38*10^196792+691)/9196793Robert Price10/2018
7962^653636-29429196765Enzo Doria08/2015
7972^653601-69673196754Enzo Doria02/2016
798(44*10^196684+1)/9196685Serge Batalov07/2010
7992^652786-1852571196509Enzo Doria08/2015
8002^652752-1325196498Yves Minet07/2015
8012^652470-1859141196414Enzo Doria10/2015
8022^652307+1877483196364Enzo Doria08/2016
8032^652293-115273196360Enzo Doria06/2015
8042^651218-1868201196037Enzo Doria04/2016
8052^651047-49687195985Enzo Doria10/2015
8062^650285-2785333195756Enzo Doria10/2015
807(69^106397-1)/68195647Paul Bourdelais10/2017
8082^649811+1877573195613Enzo Doria08/2016
8092^649662-170531195568Hans Havermann10/2018
8102^649586+182839195545Enzo Doria11/2016
8112^649537-1867363195531Enzo Doria04/2016
8122^649536-1861499195530Enzo Doria12/2015
813(103*10^195478-1)/3195480Serge Batalov12/2014
8142^649102-59351195400Enzo Doria10/2015
815(2*10^195399+529)/9195399Robert Price01/2018
8162^648988+1178971195365Enzo Doria06/2016
8172^648975-114319195361Enzo Doria02/2015
818(11*10^195350-137)/9195351Robert Price01/2018
8192^648619-24835195254Enzo Doria09/2013
8202^648190-24737195125Enzo Doria09/2013
821(57^111119+1)/58195110Paul Bourdelais10/2017
82211^187185-90194934Enzo Doria09/2012
8232^647068+77281194787Enzo Doria05/2016
82415^165559-14^165559194713Jean-Louis Charton03/2011
825F(931517)194676Henri Lifchitz09/2008
8262^646589+1179407194643Enzo Doria06/2016
8272^646289-114621194553Enzo Doria05/2015
8282^646236-39659194537Enzo Doria09/2015
8292^646161-59833194514Enzo Doria11/2015
8302*10^194413+3194414Robert Price07/2015
8312^645360-1848599194273Enzo Doria08/2015
832(112*10^194150-1)/3194152Serge Batalov12/2014
8332*10^193981-43193982Robert Price04/2018
8342^644382+75169193979Enzo Doria04/2016
8352^644304-1861409193955Enzo Doria11/2015
8365*10^193907-9193908Robert Price05/2015
8372^644043+1876703193877Enzo Doria07/2016
8382^643735+1879733193784Enzo Doria09/2016
839(5^277183+1)/6193742Paul Bourdelais07/2010
8402^643216-286565193628Enzo Doria07/2015
8412^642888-24965193529Enzo Doria09/2013
8422^642448-114825193397Enzo Doria05/2015
8432^642437-1856623193393Enzo Doria10/2015
8442^642039-59797193273Enzo Doria11/2015
84510^193230+513861193231Patrick De Geest07/2018
84610^193230-8001193230Robert Price03/2018
8472^641692-286349193169Enzo Doria07/2015
8482^641690-24737193168Enzo Doria09/2013
8492^641514+1876549193115Enzo Doria07/2016
8502^640888-2785619192927Enzo Doria10/2015
8512^640874-2783741192923Enzo Doria09/2015
8522^640181+467192714Lelio R Paula08/2013
8532^639536-1850249192520Enzo Doria08/2015
8542^639110-2792441192392Enzo Doria02/2016
8552^638955-29827192345Enzo Doria08/2015
8562^638713-2784223192272Enzo Doria10/2015
8572^638490-113507192205Enzo Doria08/2014
8582^638189-39943192115Enzo Doria09/2015
8592^638110+1877119192091Enzo Doria07/2016
8602^638066-2785211192078Enzo Doria10/2015
8612^637475-115309191900Enzo Doria07/2015
8622^636661+1876577191655Enzo Doria07/2016
863(34^125101-1)/33191589Paul Bourdelais11/2017
8642^636177-1855123191509Enzo Doria09/2015
8652^636158-113627191503Enzo Doria08/2014
866(37*25^136966+63)/4191472Curtis Bright05/2015
8672^636035+79823191466Enzo Doria06/2016
8682^636011-1860847191459Enzo Doria11/2015
8692^635926-1860611191433Enzo Doria11/2015
8703*10^191152-7191153Robert Price08/2015
8712^634883-1865677191119Enzo Doria02/2016
8722^634801+1871957191095Enzo Doria05/2016
873(35*10^191073+1)/9191074Serge Batalov07/2010
8742^634470-59861190995Enzo Doria11/2015
8752^634368-29519190964Enzo Doria08/2015
8762^634188-350609190910Enzo Doria06/2015
877(13*10^190732-61)/3190733Robert Price11/2018
878(7*10^190683+143)/3190684Robert Price03/2018
8792^633088-113879190579Enzo Doria10/2014
8802^633064+1874911190572Enzo Doria06/2016
881(43*10^190547+83)/9190548Robert Price11/2018
8822^632795-351205190491Enzo Doria06/2015
883(43*10^190351+101)/9190352Robert Price11/2018
8842^632156+78391190298Enzo Doria06/2016
8852^632082-1851971190276Enzo Doria08/2015
8862^632020+1880311190257Enzo Doria09/2016
8872^631637-462373190142Enzo Doria08/2015
8882^631122-39251189987Enzo Doria08/2015
889(26*10^189928-89)/9189929Robert Price06/2018
8902^630839-97189902Yves Minet07/2017
8912^630359+1788953189757Enzo Doria05/2016
8922^630228+1871971189718Enzo Doria05/2016
8932^630108+781189682Lelio R Paula08/2013
8942^629870-1867811189610Enzo Doria04/2016
895(359^74189-1)/358189558Alexander Zhirkov11/2017
8962^629326+2792929189447Enzo Doria02/2016
897(10^189385-61)/3189385Serge Batalov12/2014
8982^629036+1874011189359Enzo Doria06/2016
8992^628930+80779189327Enzo Doria07/2016
9002^628582+1179439189223Enzo Doria06/2016
9012^627037-2785843188757Enzo Doria10/2015
902L(901657)188436Renaud Lifchitz11/2008
9032^625651+74213188340Enzo Doria04/2016
9042^625584-460919188320Enzo Doria06/2015
905(10^188164+359)/9188164Serge Batalov12/2014
9062^624481-113611187988Enzo Doria08/2014
9072^624077-112723187866Enzo Doria07/2014
9082^624008+1874941187846Enzo Doria06/2016
9092^623870+78679187804Enzo Doria05/2016
9102^623714-114035187757Enzo Doria11/2014
9112^623651-1834251187738Enzo Doria07/2015
912(7*10^187645+53)/3187646Robert Price05/2018
9132^623146+1879609187586Enzo Doria09/2016
914(5*10^187471+91)/3187472Robert Price04/2018
9152^622500+81931187392Enzo Doria08/2016
9162^622300-1861739187331Enzo Doria12/2015
917(38*10^187281+349)/9187282Robert Price10/2018
9182^622052+76771187257Enzo Doria05/2016
9192^622005-24091187243Enzo Doria08/2013
9202^621879-351787187205Enzo Doria07/2015
9212^621700+79411187151Enzo Doria06/2016
922(2*10^187062-71)/3187062Robert Price12/2017
9232^620929-113203186919Enzo Doria07/2014
92410^186842+168223186843Patrick De Geest07/2018
92510^186842-8001186842Robert Price03/2018
9262^620347-1777186744Lelio R Paula07/2013
92711^179143-4170186559Enzo Doria12/2012
928(5^266863+1)/6186529Paul Bourdelais07/2010
9292^619297-2792353186427Enzo Doria02/2016
9302^618940-460139186320Enzo Doria06/2015
9312^618046+74179186051Enzo Doria04/2016
9323*10^186019+11186020Robert Price07/2018
9332*10^185930-3185931Robert Price07/2015
934(82^97151+1)/83185928Paul Bourdelais10/2017
9354*10^185905+91185906Robert Price08/2018
936(37*10^185811+377)/9185812Robert Price11/2018
9372^617250+9385185811Lelio R Paula07/2013
93839^116749+2185756Robert Price04/2015
9392^616924-39719185713Enzo Doria09/2015
9402^616712+1867621185649Enzo Doria04/2016
941(3^388897+2^388897)/5185551Jean-Louis Charton09/2011
9424*10^185355+9185356Robert Price05/2015
9432^615622+76639185321Enzo Doria05/2016
9442^615591+1879223185312Enzo Doria08/2016
9452^615503+1876643185285Enzo Doria07/2016
9465^265007-4^265007185232Jean-Louis Charton02/2013
947(4*10^185221-91)/3185222Robert Price03/2018
9482^614783-2790097185069Enzo Doria12/2015
9492^614745-29323185057Enzo Doria07/2015
950(((((((((((2^3+3)^3+30)^3+6)^3+80)^3+12)^3+450)^3+894)^3+3636)^3+70756)^3+97220)^3+66768)^3+300840185052Serge Batalov07/2013
951(14*10^184950+211)/9184951Robert Price04/2018
9522^614315+81353184928Enzo Doria08/2016
9532^614294-1849961184921Enzo Doria08/2015
9542^614266+1877809184913Enzo Doria08/2016
9552^613715-1860727184747Enzo Doria11/2015
9562*10^184723+41184724Robert Price05/2018
9572^613487-349987184678Enzo Doria07/2015
958(95^93377+1)/96184672Paul Bourdelais11/2017
95914^161089-161089^14184629Serge Batalov05/2016
9602^613033-114621184542Enzo Doria05/2015
961(9^193247+1)/10184404Paul Bourdelais02/2010
9622^612341-1604809184334Enzo Doria05/2015
963(2^611999-1)/18464214225958267477777390354183184199Dario Alpern06/2017
964(14*10^184150+37)/3184151Robert Price12/2018
9652^611731-4837184150Yves Minet08/2018
9663*10^184124-7184125Robert Price08/2015
9672^611628-24537184119Enzo Doria08/2013
9683*10^184110+13184111Robert Price07/2018
9692^611460+71881184068Enzo Doria04/2016
9704*10^184004-63184005Robert Price10/2018
9712^610982-1867301183924Enzo Doria03/2016
9723*10^183872-49183873Robert Price07/2018
9732^610597+1178897183809Enzo Doria05/2016
974(28*10^183760-1)/9183761Serge Batalov10/2014
9752^610401+1277183750Lelio R Paula07/2013
9762^610356-1849019183736Enzo Doria08/2015
977(63^102103+1)/64183717Paul Bourdelais10/2017
978(2^610289+1)/(3*528882550291)183704Gord Palameta08/2018
979(4*10^183659+149)/9183659Robert Price04/2018
9802^609846-1834251183582Enzo Doria07/2015
98111^176176-240183469Enzo Doria11/2012
982(41^113749+1)/42183451Paul Bourdelais11/2017
983(101^91463+1)/102183320Paul Bourdelais11/2017
9842^608965-113989183317Enzo Doria10/2014
985A005165(43592)183312Serge Batalov07/2017
9862^608814-461261183272Enzo Doria06/2015
987(163*10^183227-1)/9183229Serge Batalov12/2014
9882^608541-608541^2183190Henri Lifchitz02/2018
9892^608293+143807183115Enzo Doria10/2016
9902^608164-462419183076Enzo Doria08/2015
9912^607950-1862303183012Enzo Doria12/2015
9922^607101+1871987182756Enzo Doria05/2016
9932^606869-69175182686Enzo Doria11/2015
9943*10^182614-11182615Robert Price07/2018
9952^606560-357182593Enzo Doria05/2014
9962^605687+1866983182330Enzo Doria03/2016
9972^605655-114445182321Enzo Doria02/2015
998(20^140053+1)/21182212Paul Bourdelais04/2010
999(14*10^182177-221)/9182178Robert Price04/2018
10002^605174-112751182176Enzo Doria06/2014


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: December, 17 2018 20:37 (Time in France)

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