PRP Records

Probable Primes Top 10000

(205869 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 ?
7512^653851+82295196829Enzo Doria09/2016
7522^653636-29429196765Enzo Doria08/2015
7532^653601-69673196754Enzo Doria02/2016
754(44*10^196684+1)/9196685Serge Batalov07/2010
7552^652786-1852571196509Enzo Doria08/2015
7562^652752-1325196498Yves Minet07/2015
7572^652470-1859141196414Enzo Doria10/2015
7582^652307+1877483196364Enzo Doria08/2016
7592^652293-115273196360Enzo Doria06/2015
7602^651218-1868201196037Enzo Doria04/2016
7612^651047-49687195985Enzo Doria10/2015
7622^650285-2785333195756Enzo Doria10/2015
763(69^106397-1)/68195647Paul Bourdelais10/2017
7642^649811+1877573195613Enzo Doria08/2016
7652^649586+182839195545Enzo Doria11/2016
7662^649537-1867363195531Enzo Doria04/2016
7672^649536-1861499195530Enzo Doria12/2015
768(103*10^195478-1)/3195480Serge Batalov12/2014
7692^649102-59351195400Enzo Doria10/2015
770(2*10^195399+529)/9195399Robert Price01/2018
7712^648988+1178971195365Enzo Doria06/2016
7722^648975-114319195361Enzo Doria02/2015
773(11*10^195350-137)/9195351Robert Price01/2018
7742^648619-24835195254Enzo Doria09/2013
7752^648190-24737195125Enzo Doria09/2013
776(57^111119+1)/58195110Paul Bourdelais10/2017
77711^187185-90194934Enzo Doria09/2012
7782^647068+77281194787Enzo Doria05/2016
77915^165559-14^165559194713Jean-Louis Charton03/2011
780F(931517)194676Henri Lifchitz09/2008
7812^646589+1179407194643Enzo Doria06/2016
7822^646289-114621194553Enzo Doria05/2015
7832^646236-39659194537Enzo Doria09/2015
7842^646161-59833194514Enzo Doria11/2015
7852*10^194413+3194414Robert Price07/2015
7862^645360-1848599194273Enzo Doria08/2015
787(112*10^194150-1)/3194152Serge Batalov12/2014
7882*10^193981-43193982Robert Price04/2018
7892^644382+75169193979Enzo Doria04/2016
7902^644304-1861409193955Enzo Doria11/2015
7915*10^193907-9193908Robert Price05/2015
7922^644043+1876703193877Enzo Doria07/2016
7932^643735+1879733193784Enzo Doria09/2016
794(5^277183+1)/6193742Paul Bourdelais07/2010
7952^643216-286565193628Enzo Doria07/2015
7962^642888-24965193529Enzo Doria09/2013
7972^642448-114825193397Enzo Doria05/2015
7982^642437-1856623193393Enzo Doria10/2015
7992^642039-59797193273Enzo Doria11/2015
80010^193230-8001193230Robert Price03/2018
8012^641692-286349193169Enzo Doria07/2015
8022^641690-24737193168Enzo Doria09/2013
8032^641514+1876549193115Enzo Doria07/2016
8042^640888-2785619192927Enzo Doria10/2015
8052^640874-2783741192923Enzo Doria09/2015
8062^640181+467192714Lelio R Paula08/2013
8072^639536-1850249192520Enzo Doria08/2015
8082^639110-2792441192392Enzo Doria02/2016
8092^638955-29827192345Enzo Doria08/2015
8102^638713-2784223192272Enzo Doria10/2015
8112^638490-113507192205Enzo Doria08/2014
8122^638189-39943192115Enzo Doria09/2015
8132^638110+1877119192091Enzo Doria07/2016
8142^638066-2785211192078Enzo Doria10/2015
8152^637475-115309191900Enzo Doria07/2015
8162^636661+1876577191655Enzo Doria07/2016
817(34^125101-1)/33191589Paul Bourdelais11/2017
8182^636177-1855123191509Enzo Doria09/2015
8192^636158-113627191503Enzo Doria08/2014
820(37*25^136966+63)/4191472Curtis Bright05/2015
8212^636035+79823191466Enzo Doria06/2016
8222^636011-1860847191459Enzo Doria11/2015
8232^635926-1860611191433Enzo Doria11/2015
8243*10^191152-7191153Robert Price08/2015
8252^634883-1865677191119Enzo Doria02/2016
8262^634801+1871957191095Enzo Doria05/2016
827(35*10^191073+1)/9191074Serge Batalov07/2010
8282^634470-59861190995Enzo Doria11/2015
8292^634368-29519190964Enzo Doria08/2015
8302^634188-350609190910Enzo Doria06/2015
831(7*10^190683+143)/3190684Robert Price03/2018
8322^633088-113879190579Enzo Doria10/2014
8332^633064+1874911190572Enzo Doria06/2016
8342^632795-351205190491Enzo Doria06/2015
8352^632156+78391190298Enzo Doria06/2016
8362^632082-1851971190276Enzo Doria08/2015
8372^632020+1880311190257Enzo Doria09/2016
8382^631637-462373190142Enzo Doria08/2015
8392^631122-39251189987Enzo Doria08/2015
8402^630839-97189902Yves Minet07/2017
8412^630359+1788953189757Enzo Doria05/2016
8422^630228+1871971189718Enzo Doria05/2016
8432^630108+781189682Lelio R Paula08/2013
8442^629870-1867811189610Enzo Doria04/2016
845(359^74189-1)/358189558Alexander Zhirkov11/2017
8462^629326+2792929189447Enzo Doria02/2016
847(10^189385-61)/3189385Serge Batalov12/2014
8482^629036+1874011189359Enzo Doria06/2016
8492^628930+80779189327Enzo Doria07/2016
8502^628582+1179439189223Enzo Doria06/2016
8512^627037-2785843188757Enzo Doria10/2015
852L(901657)188436Renaud Lifchitz11/2008
8532^625651+74213188340Enzo Doria04/2016
8542^625584-460919188320Enzo Doria06/2015
855(10^188164+359)/9188164Serge Batalov12/2014
8562^624481-113611187988Enzo Doria08/2014
8572^624077-112723187866Enzo Doria07/2014
8582^624008+1874941187846Enzo Doria06/2016
8592^623870+78679187804Enzo Doria05/2016
8602^623714-114035187757Enzo Doria11/2014
8612^623651-1834251187738Enzo Doria07/2015
8622^623146+1879609187586Enzo Doria09/2016
8632^622500+81931187392Enzo Doria08/2016
8642^622300-1861739187331Enzo Doria12/2015
8652^622052+76771187257Enzo Doria05/2016
8662^622005-24091187243Enzo Doria08/2013
8672^621879-351787187205Enzo Doria07/2015
8682^621700+79411187151Enzo Doria06/2016
869(2*10^187062-71)/3187062Robert Price12/2017
8702^620929-113203186919Enzo Doria07/2014
87110^186842-8001186842Robert Price03/2018
8722^620347-1777186744Lelio R Paula07/2013
87311^179143-4170186559Enzo Doria12/2012
874(5^266863+1)/6186529Paul Bourdelais07/2010
8752^619297-2792353186427Enzo Doria02/2016
8762^618940-460139186320Enzo Doria06/2015
8772^618046+74179186051Enzo Doria04/2016
8782*10^185930-3185931Robert Price07/2015
879(82^97151+1)/83185928Paul Bourdelais10/2017
8802^617250+9385185811Lelio R Paula07/2013
88139^116749+2185756Robert Price04/2015
8822^616924-39719185713Enzo Doria09/2015
8832^616712+1867621185649Enzo Doria04/2016
884(3^388897+2^388897)/5185551Jean-Louis Charton09/2011
8854*10^185355+9185356Robert Price05/2015
8862^615622+76639185321Enzo Doria05/2016
8872^615591+1879223185312Enzo Doria08/2016
8882^615503+1876643185285Enzo Doria07/2016
8895^265007-4^265007185232Jean-Louis Charton02/2013
890(4*10^185221-91)/3185222Robert Price03/2018
8912^614783-2790097185069Enzo Doria12/2015
8922^614745-29323185057Enzo Doria07/2015
893(((((((((((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
894(14*10^184950+211)/9184951Robert Price04/2018
8952^614315+81353184928Enzo Doria08/2016
8962^614294-1849961184921Enzo Doria08/2015
8972^614266+1877809184913Enzo Doria08/2016
8982^613715-1860727184747Enzo Doria11/2015
8992^613487-349987184678Enzo Doria07/2015
900(95^93377+1)/96184672Paul Bourdelais11/2017
90114^161089-161089^14184629Serge Batalov05/2016
9022^613033-114621184542Enzo Doria05/2015
903(9^193247+1)/10184404Paul Bourdelais02/2010
9042^612341-1604809184334Enzo Doria05/2015
905(2^611999-1)/18464214225958267477777390354183184199Dario Alpern06/2017
9063*10^184124-7184125Robert Price08/2015
9072^611628-24537184119Enzo Doria08/2013
9082^611460+71881184068Enzo Doria04/2016
9092^610982-1867301183924Enzo Doria03/2016
9102^610597+1178897183809Enzo Doria05/2016
911(28*10^183760-1)/9183761Serge Batalov10/2014
9122^610401+1277183750Lelio R Paula07/2013
9132^610356-1849019183736Enzo Doria08/2015
914(63^102103+1)/64183717Paul Bourdelais10/2017
915(4*10^183659+149)/9183659Robert Price04/2018
9162^609846-1834251183582Enzo Doria07/2015
91711^176176-240183469Enzo Doria11/2012
918(41^113749+1)/42183451Paul Bourdelais11/2017
919(101^91463+1)/102183320Paul Bourdelais11/2017
9202^608965-113989183317Enzo Doria10/2014
921A005165(43592)183312Serge Batalov07/2017
9222^608814-461261183272Enzo Doria06/2015
923(163*10^183227-1)/9183229Serge Batalov12/2014
9242^608541-608541^2183190Henri Lifchitz02/2018
9252^608293+143807183115Enzo Doria10/2016
9262^608164-462419183076Enzo Doria08/2015
9272^607950-1862303183012Enzo Doria12/2015
9282^607101+1871987182756Enzo Doria05/2016
9292^606869-69175182686Enzo Doria11/2015
9302^606560-357182593Enzo Doria05/2014
9312^605687+1866983182330Enzo Doria03/2016
9322^605655-114445182321Enzo Doria02/2015
933(20^140053+1)/21182212Paul Bourdelais04/2010
934(14*10^182177-221)/9182178Robert Price04/2018
9352^605174-112751182176Enzo Doria06/2014
9362^604761+1874507182052Enzo Doria06/2016
9372^604705+1871957182035Enzo Doria05/2016
938(14*10^182000+229)/9182001Robert Price03/2018
939(10^181996+41)/3181996Robert Price12/2017
940(5*10^181950-101)/3181951Robert Price04/2018
9412^603915+75233181797Enzo Doria04/2016
94211^174145-360181354Enzo Doria10/2012
9432^602351-396765181326Enzo Doria08/2013
9442^601957-113833181208Enzo Doria09/2014
94566^99581-65^99581181193Robert Price09/2013
94610^181182+383973181183Patrick De Geest04/2016
94710^181182-21181182Serge Batalov12/2014
948(5*10^181127-29)/3181128Robert Price03/2018
9492^601521-29143181076Enzo Doria07/2015
9502^601442-2797811181053Enzo Doria04/2016
9515*10^180992-9180993Robert Price05/2015
95210^180979+79477180980Patrick De Geest04/2016
95310^180979+107739180980Patrick De Geest04/2016
95410^180979-11180979Serge Batalov12/2014
9552^601023-113851180926Enzo Doria10/2014
9562^600300-1852559180709Enzo Doria08/2015
957(10^180689+71)/9180689Serge Batalov07/2015
9582^600209+76487180681Enzo Doria05/2016
9592^599702-369885180529Enzo Doria11/2013
960Tau(643^11688)180524Nik Lygeros / Olivier Rozier05/2015
961(2951*29^123418-3)/4180490Curtis Bright05/2015
9622^598942+80779180300Enzo Doria07/2016
9632^598591-1844797180194Enzo Doria06/2015
964(100^90089+1)/101180176Paul Bourdelais08/2017
965(4*10^179963-79)/3179964Robert Price02/2018
966Gamma-Prime(179849)179849Eric W. Weisstein06/2011
9672^597424-1859729179843Enzo Doria11/2015
968Phi(180683,10)179760Maksym Voznyy09/2015
969(10^180683-1)*9/(10^643-1)/(10^281-1)179760Robert Price07/2016
970(3^376657-2^376657)/22301107657179701Mike Oakes04/2017
9712^596690-461261179622Enzo Doria07/2015
9722^596684-113939179620Enzo Doria10/2014
9733^375887-112696179344Enzo Doria07/2014
9742^595144-1850429179157Enzo Doria08/2015
9752^594531+82253178972Enzo Doria09/2016
9762^594260-2787899178891Enzo Doria11/2015
9772^593631+101381178701Jorge Menendez04/2018
97810^178695+136719178696Patrick De Geest05/2016
97910^178695-71178695Serge Batalov12/2014
980(2^148330+1)^4-2178608Cletus Emmanuel12/2003
9812^593222-14145178578Jorge Menendez10/2017
9822^593178+1867219178565Enzo Doria03/2016
983(18^142031-1)/17178287Paul Bourdelais03/2010
9842^591872-291929178172Enzo Doria07/2015
9852^591682-286871178115Enzo Doria07/2015
9864*10^178091+9178092Robert Price05/2015
987410747#+478483178007Makoto Morimoto02/2016
9882^590762-396765177838Enzo Doria08/2013
989(136*10^177754-1)/9177756Serge Batalov12/2014
990ReverseConsecutiveIntegerPrime(37765)177719Eric W. Weisstein04/2010
9912^589204+1881151177369Enzo Doria11/2016
9922^589132-69479177347Enzo Doria01/2016
9932^588912-113519177281Enzo Doria08/2014
99415^150706+2177245Robert Price06/2015
9952^588194-1861001177065Enzo Doria11/2015
9962^587560-113699176874Enzo Doria09/2014
9975^252763-12862176674Enzo Doria05/2014
9982^586804+81721176646Enzo Doria08/2016
999(10^176584+77)/3176584Robert Price01/2018
10002^586570+1874419176576Enzo Doria06/2016


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: April, 22 2018 09:48 (Time in France)

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