PRP Records

Probable Primes Top 10000

(218736 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 ?
7512^658776-2791229198312Enzo Doria01/2016
752(35*10^198294-377)/9198295Robert Price07/2018
753(4*10^198268+137)/3198269Robert Price03/2018
7542^658544-1854029198242Enzo Doria09/2015
755(157^90239-1)/156198154Alexander Zhirkov06/2016
756(4*10^197778+173)/3197779Robert Price02/2018
7572^656462+1874419197615Enzo Doria06/2016
758(89^101363+1)/90197595Paul Bourdelais11/2017
7592^655893-344563197444Enzo Doria07/2015
7602^655875+71333197439Enzo Doria04/2016
7612^655845-9197430Robert Price01/2017
7622^655682-1849121197380Enzo Doria08/2015
7632^655045-49603197189Enzo Doria10/2015
7642^655000-2784089197175Enzo Doria10/2015
765(18^157051-1)/17197141Paul Bourdelais03/2010
7662^654400-39719196995Enzo Doria09/2015
767(14*10^196965-221)/9196966Robert Price04/2018
7682^654216-459995196939Enzo Doria06/2015
7692^653851+82295196829Enzo Doria09/2016
7702^653636-29429196765Enzo Doria08/2015
7712^653601-69673196754Enzo Doria02/2016
772(44*10^196684+1)/9196685Serge Batalov07/2010
7732^652786-1852571196509Enzo Doria08/2015
7742^652752-1325196498Yves Minet07/2015
7752^652470-1859141196414Enzo Doria10/2015
7762^652307+1877483196364Enzo Doria08/2016
7772^652293-115273196360Enzo Doria06/2015
7782^651218-1868201196037Enzo Doria04/2016
7792^651047-49687195985Enzo Doria10/2015
7802^650285-2785333195756Enzo Doria10/2015
781(69^106397-1)/68195647Paul Bourdelais10/2017
7822^649811+1877573195613Enzo Doria08/2016
7832^649586+182839195545Enzo Doria11/2016
7842^649537-1867363195531Enzo Doria04/2016
7852^649536-1861499195530Enzo Doria12/2015
786(103*10^195478-1)/3195480Serge Batalov12/2014
7872^649102-59351195400Enzo Doria10/2015
788(2*10^195399+529)/9195399Robert Price01/2018
7892^648988+1178971195365Enzo Doria06/2016
7902^648975-114319195361Enzo Doria02/2015
791(11*10^195350-137)/9195351Robert Price01/2018
7922^648619-24835195254Enzo Doria09/2013
7932^648190-24737195125Enzo Doria09/2013
794(57^111119+1)/58195110Paul Bourdelais10/2017
79511^187185-90194934Enzo Doria09/2012
7962^647068+77281194787Enzo Doria05/2016
79715^165559-14^165559194713Jean-Louis Charton03/2011
798F(931517)194676Henri Lifchitz09/2008
7992^646589+1179407194643Enzo Doria06/2016
8002^646289-114621194553Enzo Doria05/2015
8012^646236-39659194537Enzo Doria09/2015
8022^646161-59833194514Enzo Doria11/2015
8032*10^194413+3194414Robert Price07/2015
8042^645360-1848599194273Enzo Doria08/2015
805(112*10^194150-1)/3194152Serge Batalov12/2014
8062*10^193981-43193982Robert Price04/2018
8072^644382+75169193979Enzo Doria04/2016
8082^644304-1861409193955Enzo Doria11/2015
8095*10^193907-9193908Robert Price05/2015
8102^644043+1876703193877Enzo Doria07/2016
8112^643735+1879733193784Enzo Doria09/2016
812(5^277183+1)/6193742Paul Bourdelais07/2010
8132^643216-286565193628Enzo Doria07/2015
8142^642888-24965193529Enzo Doria09/2013
8152^642448-114825193397Enzo Doria05/2015
8162^642437-1856623193393Enzo Doria10/2015
8172^642039-59797193273Enzo Doria11/2015
81810^193230+513861193231Patrick De Geest07/2018
81910^193230-8001193230Robert Price03/2018
8202^641692-286349193169Enzo Doria07/2015
8212^641690-24737193168Enzo Doria09/2013
8222^641514+1876549193115Enzo Doria07/2016
8232^640888-2785619192927Enzo Doria10/2015
8242^640874-2783741192923Enzo Doria09/2015
8252^640181+467192714Lelio R Paula08/2013
8262^639536-1850249192520Enzo Doria08/2015
8272^639110-2792441192392Enzo Doria02/2016
8282^638955-29827192345Enzo Doria08/2015
8292^638713-2784223192272Enzo Doria10/2015
8302^638490-113507192205Enzo Doria08/2014
8312^638189-39943192115Enzo Doria09/2015
8322^638110+1877119192091Enzo Doria07/2016
8332^638066-2785211192078Enzo Doria10/2015
8342^637475-115309191900Enzo Doria07/2015
8352^636661+1876577191655Enzo Doria07/2016
836(34^125101-1)/33191589Paul Bourdelais11/2017
8372^636177-1855123191509Enzo Doria09/2015
8382^636158-113627191503Enzo Doria08/2014
839(37*25^136966+63)/4191472Curtis Bright05/2015
8402^636035+79823191466Enzo Doria06/2016
8412^636011-1860847191459Enzo Doria11/2015
8422^635926-1860611191433Enzo Doria11/2015
8433*10^191152-7191153Robert Price08/2015
8442^634883-1865677191119Enzo Doria02/2016
8452^634801+1871957191095Enzo Doria05/2016
846(35*10^191073+1)/9191074Serge Batalov07/2010
8472^634470-59861190995Enzo Doria11/2015
8482^634368-29519190964Enzo Doria08/2015
8492^634188-350609190910Enzo Doria06/2015
850(7*10^190683+143)/3190684Robert Price03/2018
8512^633088-113879190579Enzo Doria10/2014
8522^633064+1874911190572Enzo Doria06/2016
8532^632795-351205190491Enzo Doria06/2015
8542^632156+78391190298Enzo Doria06/2016
8552^632082-1851971190276Enzo Doria08/2015
8562^632020+1880311190257Enzo Doria09/2016
8572^631637-462373190142Enzo Doria08/2015
8582^631122-39251189987Enzo Doria08/2015
859(26*10^189928-89)/9189929Robert Price06/2018
8602^630839-97189902Yves Minet07/2017
8612^630359+1788953189757Enzo Doria05/2016
8622^630228+1871971189718Enzo Doria05/2016
8632^630108+781189682Lelio R Paula08/2013
8642^629870-1867811189610Enzo Doria04/2016
865(359^74189-1)/358189558Alexander Zhirkov11/2017
8662^629326+2792929189447Enzo Doria02/2016
867(10^189385-61)/3189385Serge Batalov12/2014
8682^629036+1874011189359Enzo Doria06/2016
8692^628930+80779189327Enzo Doria07/2016
8702^628582+1179439189223Enzo Doria06/2016
8712^627037-2785843188757Enzo Doria10/2015
872L(901657)188436Renaud Lifchitz11/2008
8732^625651+74213188340Enzo Doria04/2016
8742^625584-460919188320Enzo Doria06/2015
875(10^188164+359)/9188164Serge Batalov12/2014
8762^624481-113611187988Enzo Doria08/2014
8772^624077-112723187866Enzo Doria07/2014
8782^624008+1874941187846Enzo Doria06/2016
8792^623870+78679187804Enzo Doria05/2016
8802^623714-114035187757Enzo Doria11/2014
8812^623651-1834251187738Enzo Doria07/2015
882(7*10^187645+53)/3187646Robert Price05/2018
8832^623146+1879609187586Enzo Doria09/2016
884(5*10^187471+91)/3187472Robert Price04/2018
8852^622500+81931187392Enzo Doria08/2016
8862^622300-1861739187331Enzo Doria12/2015
8872^622052+76771187257Enzo Doria05/2016
8882^622005-24091187243Enzo Doria08/2013
8892^621879-351787187205Enzo Doria07/2015
8902^621700+79411187151Enzo Doria06/2016
891(2*10^187062-71)/3187062Robert Price12/2017
8922^620929-113203186919Enzo Doria07/2014
89310^186842+168223186843Patrick De Geest07/2018
89410^186842-8001186842Robert Price03/2018
8952^620347-1777186744Lelio R Paula07/2013
89611^179143-4170186559Enzo Doria12/2012
897(5^266863+1)/6186529Paul Bourdelais07/2010
8982^619297-2792353186427Enzo Doria02/2016
8992^618940-460139186320Enzo Doria06/2015
9002^618046+74179186051Enzo Doria04/2016
9013*10^186019+11186020Robert Price07/2018
9022*10^185930-3185931Robert Price07/2015
903(82^97151+1)/83185928Paul Bourdelais10/2017
9042^617250+9385185811Lelio R Paula07/2013
90539^116749+2185756Robert Price04/2015
9062^616924-39719185713Enzo Doria09/2015
9072^616712+1867621185649Enzo Doria04/2016
908(3^388897+2^388897)/5185551Jean-Louis Charton09/2011
9094*10^185355+9185356Robert Price05/2015
9102^615622+76639185321Enzo Doria05/2016
9112^615591+1879223185312Enzo Doria08/2016
9122^615503+1876643185285Enzo Doria07/2016
9135^265007-4^265007185232Jean-Louis Charton02/2013
914(4*10^185221-91)/3185222Robert Price03/2018
9152^614783-2790097185069Enzo Doria12/2015
9162^614745-29323185057Enzo Doria07/2015
917(((((((((((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
918(14*10^184950+211)/9184951Robert Price04/2018
9192^614315+81353184928Enzo Doria08/2016
9202^614294-1849961184921Enzo Doria08/2015
9212^614266+1877809184913Enzo Doria08/2016
9222^613715-1860727184747Enzo Doria11/2015
9232*10^184723+41184724Robert Price05/2018
9242^613487-349987184678Enzo Doria07/2015
925(95^93377+1)/96184672Paul Bourdelais11/2017
92614^161089-161089^14184629Serge Batalov05/2016
9272^613033-114621184542Enzo Doria05/2015
928(9^193247+1)/10184404Paul Bourdelais02/2010
9292^612341-1604809184334Enzo Doria05/2015
930(2^611999-1)/18464214225958267477777390354183184199Dario Alpern06/2017
9312^611731-4837184150Yves Minet08/2018
9323*10^184124-7184125Robert Price08/2015
9332^611628-24537184119Enzo Doria08/2013
9343*10^184110+13184111Robert Price07/2018
9352^611460+71881184068Enzo Doria04/2016
9362^610982-1867301183924Enzo Doria03/2016
9373*10^183872-49183873Robert Price07/2018
9382^610597+1178897183809Enzo Doria05/2016
939(28*10^183760-1)/9183761Serge Batalov10/2014
9402^610401+1277183750Lelio R Paula07/2013
9412^610356-1849019183736Enzo Doria08/2015
942(63^102103+1)/64183717Paul Bourdelais10/2017
943(2^610289+1)/(3*528882550291)183704Gord Palameta08/2018
944(4*10^183659+149)/9183659Robert Price04/2018
9452^609846-1834251183582Enzo Doria07/2015
94611^176176-240183469Enzo Doria11/2012
947(41^113749+1)/42183451Paul Bourdelais11/2017
948(101^91463+1)/102183320Paul Bourdelais11/2017
9492^608965-113989183317Enzo Doria10/2014
950A005165(43592)183312Serge Batalov07/2017
9512^608814-461261183272Enzo Doria06/2015
952(163*10^183227-1)/9183229Serge Batalov12/2014
9532^608541-608541^2183190Henri Lifchitz02/2018
9542^608293+143807183115Enzo Doria10/2016
9552^608164-462419183076Enzo Doria08/2015
9562^607950-1862303183012Enzo Doria12/2015
9572^607101+1871987182756Enzo Doria05/2016
9582^606869-69175182686Enzo Doria11/2015
9593*10^182614-11182615Robert Price07/2018
9602^606560-357182593Enzo Doria05/2014
9612^605687+1866983182330Enzo Doria03/2016
9622^605655-114445182321Enzo Doria02/2015
963(20^140053+1)/21182212Paul Bourdelais04/2010
964(14*10^182177-221)/9182178Robert Price04/2018
9652^605174-112751182176Enzo Doria06/2014
9662^604761+1874507182052Enzo Doria06/2016
9672^604705+1871957182035Enzo Doria05/2016
968(14*10^182000+229)/9182001Robert Price03/2018
969(10^181996+41)/3181996Robert Price12/2017
970(5*10^181950-101)/3181951Robert Price04/2018
9712^603915+75233181797Enzo Doria04/2016
97211^174145-360181354Enzo Doria10/2012
9732^602351-396765181326Enzo Doria08/2013
9742^601957-113833181208Enzo Doria09/2014
97566^99581-65^99581181193Robert Price09/2013
97610^181182+383973181183Patrick De Geest04/2016
97710^181182-21181182Serge Batalov12/2014
978(5*10^181127-29)/3181128Robert Price03/2018
9792^601521-29143181076Enzo Doria07/2015
9802^601442-2797811181053Enzo Doria04/2016
9815*10^180992-9180993Robert Price05/2015
98210^180979+79477180980Patrick De Geest04/2016
98310^180979+107739180980Patrick De Geest04/2016
98410^180979-11180979Serge Batalov12/2014
9852^601023-113851180926Enzo Doria10/2014
9863*10^180852+29180853Robert Price05/2018
9872^600300-1852559180709Enzo Doria08/2015
988(10^180689+71)/9180689Serge Batalov07/2015
9892^600209+76487180681Enzo Doria05/2016
9902^599702-369885180529Enzo Doria11/2013
991Tau(643^11688)180524Nik Lygeros / Olivier Rozier05/2015
992(2951*29^123418-3)/4180490Curtis Bright05/2015
9934*10^180360+93180361Robert Price08/2018
9942^598942+80779180300Enzo Doria07/2016
9952^598591-1844797180194Enzo Doria06/2015
996(100^90089+1)/101180176Paul Bourdelais08/2017
997(4*10^179963-79)/3179964Robert Price02/2018
998Gamma-Prime(179849)179849Eric W. Weisstein06/2011
9992^597424-1859729179843Enzo Doria11/2015
1000Phi(180683,10)179760Maksym Voznyy09/2015


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: August, 14 2018 21:45 (Time in France)

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