PRP Records

Probable Primes Top 10000

(224926 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 ?
7512^662103-29287199313Enzo Doria08/2015
752(2*10^199283+457)/9199283Robert Price01/2018
753(10^199248-19)/9199248Robert Price01/2018
7542^660482-2891198825Yves Minet05/2016
7552^659583+1879223198555Enzo Doria08/2016
756(53*10^198529+1)/9198530Serge Batalov07/2010
7572^658828-29819198327Enzo Doria08/2015
7582^658776-2791229198312Enzo Doria01/2016
759(35*10^198294-377)/9198295Robert Price07/2018
760(4*10^198268+137)/3198269Robert Price03/2018
7612^658544-1854029198242Enzo Doria09/2015
762(157^90239-1)/156198154Alexander Zhirkov06/2016
763(4*10^197778+173)/3197779Robert Price02/2018
7642^656462+1874419197615Enzo Doria06/2016
765(89^101363+1)/90197595Paul Bourdelais11/2017
7662^655893-344563197444Enzo Doria07/2015
7672^655875+71333197439Enzo Doria04/2016
7682^655845-9197430Robert Price01/2017
7692^655682-1849121197380Enzo Doria08/2015
7702^655045-49603197189Enzo Doria10/2015
7712^655000-2784089197175Enzo Doria10/2015
772(18^157051-1)/17197141Paul Bourdelais03/2010
7732^654400-39719196995Enzo Doria09/2015
774(14*10^196965-221)/9196966Robert Price04/2018
7752^654216-459995196939Enzo Doria06/2015
7763*10^196881-59196882Robert Price09/2018
7772^653851+82295196829Enzo Doria09/2016
7782^653636-29429196765Enzo Doria08/2015
7792^653601-69673196754Enzo Doria02/2016
780(44*10^196684+1)/9196685Serge Batalov07/2010
7812^652786-1852571196509Enzo Doria08/2015
7822^652752-1325196498Yves Minet07/2015
7832^652470-1859141196414Enzo Doria10/2015
7842^652307+1877483196364Enzo Doria08/2016
7852^652293-115273196360Enzo Doria06/2015
7862^651218-1868201196037Enzo Doria04/2016
7872^651047-49687195985Enzo Doria10/2015
7882^650285-2785333195756Enzo Doria10/2015
789(69^106397-1)/68195647Paul Bourdelais10/2017
7902^649811+1877573195613Enzo Doria08/2016
7912^649586+182839195545Enzo Doria11/2016
7922^649537-1867363195531Enzo Doria04/2016
7932^649536-1861499195530Enzo Doria12/2015
794(103*10^195478-1)/3195480Serge Batalov12/2014
7952^649102-59351195400Enzo Doria10/2015
796(2*10^195399+529)/9195399Robert Price01/2018
7972^648988+1178971195365Enzo Doria06/2016
7982^648975-114319195361Enzo Doria02/2015
799(11*10^195350-137)/9195351Robert Price01/2018
8002^648619-24835195254Enzo Doria09/2013
8012^648190-24737195125Enzo Doria09/2013
802(57^111119+1)/58195110Paul Bourdelais10/2017
80311^187185-90194934Enzo Doria09/2012
8042^647068+77281194787Enzo Doria05/2016
80515^165559-14^165559194713Jean-Louis Charton03/2011
806F(931517)194676Henri Lifchitz09/2008
8072^646589+1179407194643Enzo Doria06/2016
8082^646289-114621194553Enzo Doria05/2015
8092^646236-39659194537Enzo Doria09/2015
8102^646161-59833194514Enzo Doria11/2015
8112*10^194413+3194414Robert Price07/2015
8122^645360-1848599194273Enzo Doria08/2015
813(112*10^194150-1)/3194152Serge Batalov12/2014
8142*10^193981-43193982Robert Price04/2018
8152^644382+75169193979Enzo Doria04/2016
8162^644304-1861409193955Enzo Doria11/2015
8175*10^193907-9193908Robert Price05/2015
8182^644043+1876703193877Enzo Doria07/2016
8192^643735+1879733193784Enzo Doria09/2016
820(5^277183+1)/6193742Paul Bourdelais07/2010
8212^643216-286565193628Enzo Doria07/2015
8222^642888-24965193529Enzo Doria09/2013
8232^642448-114825193397Enzo Doria05/2015
8242^642437-1856623193393Enzo Doria10/2015
8252^642039-59797193273Enzo Doria11/2015
82610^193230+513861193231Patrick De Geest07/2018
82710^193230-8001193230Robert Price03/2018
8282^641692-286349193169Enzo Doria07/2015
8292^641690-24737193168Enzo Doria09/2013
8302^641514+1876549193115Enzo Doria07/2016
8312^640888-2785619192927Enzo Doria10/2015
8322^640874-2783741192923Enzo Doria09/2015
8332^640181+467192714Lelio R Paula08/2013
8342^639536-1850249192520Enzo Doria08/2015
8352^639110-2792441192392Enzo Doria02/2016
8362^638955-29827192345Enzo Doria08/2015
8372^638713-2784223192272Enzo Doria10/2015
8382^638490-113507192205Enzo Doria08/2014
8392^638189-39943192115Enzo Doria09/2015
8402^638110+1877119192091Enzo Doria07/2016
8412^638066-2785211192078Enzo Doria10/2015
8422^637475-115309191900Enzo Doria07/2015
8432^636661+1876577191655Enzo Doria07/2016
844(34^125101-1)/33191589Paul Bourdelais11/2017
8452^636177-1855123191509Enzo Doria09/2015
8462^636158-113627191503Enzo Doria08/2014
847(37*25^136966+63)/4191472Curtis Bright05/2015
8482^636035+79823191466Enzo Doria06/2016
8492^636011-1860847191459Enzo Doria11/2015
8502^635926-1860611191433Enzo Doria11/2015
8513*10^191152-7191153Robert Price08/2015
8522^634883-1865677191119Enzo Doria02/2016
8532^634801+1871957191095Enzo Doria05/2016
854(35*10^191073+1)/9191074Serge Batalov07/2010
8552^634470-59861190995Enzo Doria11/2015
8562^634368-29519190964Enzo Doria08/2015
8572^634188-350609190910Enzo Doria06/2015
858(7*10^190683+143)/3190684Robert Price03/2018
8592^633088-113879190579Enzo Doria10/2014
8602^633064+1874911190572Enzo Doria06/2016
8612^632795-351205190491Enzo Doria06/2015
8622^632156+78391190298Enzo Doria06/2016
8632^632082-1851971190276Enzo Doria08/2015
8642^632020+1880311190257Enzo Doria09/2016
8652^631637-462373190142Enzo Doria08/2015
8662^631122-39251189987Enzo Doria08/2015
867(26*10^189928-89)/9189929Robert Price06/2018
8682^630839-97189902Yves Minet07/2017
8692^630359+1788953189757Enzo Doria05/2016
8702^630228+1871971189718Enzo Doria05/2016
8712^630108+781189682Lelio R Paula08/2013
8722^629870-1867811189610Enzo Doria04/2016
873(359^74189-1)/358189558Alexander Zhirkov11/2017
8742^629326+2792929189447Enzo Doria02/2016
875(10^189385-61)/3189385Serge Batalov12/2014
8762^629036+1874011189359Enzo Doria06/2016
8772^628930+80779189327Enzo Doria07/2016
8782^628582+1179439189223Enzo Doria06/2016
8792^627037-2785843188757Enzo Doria10/2015
880L(901657)188436Renaud Lifchitz11/2008
8812^625651+74213188340Enzo Doria04/2016
8822^625584-460919188320Enzo Doria06/2015
883(10^188164+359)/9188164Serge Batalov12/2014
8842^624481-113611187988Enzo Doria08/2014
8852^624077-112723187866Enzo Doria07/2014
8862^624008+1874941187846Enzo Doria06/2016
8872^623870+78679187804Enzo Doria05/2016
8882^623714-114035187757Enzo Doria11/2014
8892^623651-1834251187738Enzo Doria07/2015
890(7*10^187645+53)/3187646Robert Price05/2018
8912^623146+1879609187586Enzo Doria09/2016
892(5*10^187471+91)/3187472Robert Price04/2018
8932^622500+81931187392Enzo Doria08/2016
8942^622300-1861739187331Enzo Doria12/2015
895(38*10^187281+349)/9187282Robert Price10/2018
8962^622052+76771187257Enzo Doria05/2016
8972^622005-24091187243Enzo Doria08/2013
8982^621879-351787187205Enzo Doria07/2015
8992^621700+79411187151Enzo Doria06/2016
900(2*10^187062-71)/3187062Robert Price12/2017
9012^620929-113203186919Enzo Doria07/2014
90210^186842+168223186843Patrick De Geest07/2018
90310^186842-8001186842Robert Price03/2018
9042^620347-1777186744Lelio R Paula07/2013
90511^179143-4170186559Enzo Doria12/2012
906(5^266863+1)/6186529Paul Bourdelais07/2010
9072^619297-2792353186427Enzo Doria02/2016
9082^618940-460139186320Enzo Doria06/2015
9092^618046+74179186051Enzo Doria04/2016
9103*10^186019+11186020Robert Price07/2018
9112*10^185930-3185931Robert Price07/2015
912(82^97151+1)/83185928Paul Bourdelais10/2017
9134*10^185905+91185906Robert Price08/2018
9142^617250+9385185811Lelio R Paula07/2013
91539^116749+2185756Robert Price04/2015
9162^616924-39719185713Enzo Doria09/2015
9172^616712+1867621185649Enzo Doria04/2016
918(3^388897+2^388897)/5185551Jean-Louis Charton09/2011
9194*10^185355+9185356Robert Price05/2015
9202^615622+76639185321Enzo Doria05/2016
9212^615591+1879223185312Enzo Doria08/2016
9222^615503+1876643185285Enzo Doria07/2016
9235^265007-4^265007185232Jean-Louis Charton02/2013
924(4*10^185221-91)/3185222Robert Price03/2018
9252^614783-2790097185069Enzo Doria12/2015
9262^614745-29323185057Enzo Doria07/2015
927(((((((((((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
928(14*10^184950+211)/9184951Robert Price04/2018
9292^614315+81353184928Enzo Doria08/2016
9302^614294-1849961184921Enzo Doria08/2015
9312^614266+1877809184913Enzo Doria08/2016
9322^613715-1860727184747Enzo Doria11/2015
9332*10^184723+41184724Robert Price05/2018
9342^613487-349987184678Enzo Doria07/2015
935(95^93377+1)/96184672Paul Bourdelais11/2017
93614^161089-161089^14184629Serge Batalov05/2016
9372^613033-114621184542Enzo Doria05/2015
938(9^193247+1)/10184404Paul Bourdelais02/2010
9392^612341-1604809184334Enzo Doria05/2015
940(2^611999-1)/18464214225958267477777390354183184199Dario Alpern06/2017
9412^611731-4837184150Yves Minet08/2018
9423*10^184124-7184125Robert Price08/2015
9432^611628-24537184119Enzo Doria08/2013
9443*10^184110+13184111Robert Price07/2018
9452^611460+71881184068Enzo Doria04/2016
9462^610982-1867301183924Enzo Doria03/2016
9473*10^183872-49183873Robert Price07/2018
9482^610597+1178897183809Enzo Doria05/2016
949(28*10^183760-1)/9183761Serge Batalov10/2014
9502^610401+1277183750Lelio R Paula07/2013
9512^610356-1849019183736Enzo Doria08/2015
952(63^102103+1)/64183717Paul Bourdelais10/2017
953(2^610289+1)/(3*528882550291)183704Gord Palameta08/2018
954(4*10^183659+149)/9183659Robert Price04/2018
9552^609846-1834251183582Enzo Doria07/2015
95611^176176-240183469Enzo Doria11/2012
957(41^113749+1)/42183451Paul Bourdelais11/2017
958(101^91463+1)/102183320Paul Bourdelais11/2017
9592^608965-113989183317Enzo Doria10/2014
960A005165(43592)183312Serge Batalov07/2017
9612^608814-461261183272Enzo Doria06/2015
962(163*10^183227-1)/9183229Serge Batalov12/2014
9632^608541-608541^2183190Henri Lifchitz02/2018
9642^608293+143807183115Enzo Doria10/2016
9652^608164-462419183076Enzo Doria08/2015
9662^607950-1862303183012Enzo Doria12/2015
9672^607101+1871987182756Enzo Doria05/2016
9682^606869-69175182686Enzo Doria11/2015
9693*10^182614-11182615Robert Price07/2018
9702^606560-357182593Enzo Doria05/2014
9712^605687+1866983182330Enzo Doria03/2016
9722^605655-114445182321Enzo Doria02/2015
973(20^140053+1)/21182212Paul Bourdelais04/2010
974(14*10^182177-221)/9182178Robert Price04/2018
9752^605174-112751182176Enzo Doria06/2014
9762^604761+1874507182052Enzo Doria06/2016
9772^604705+1871957182035Enzo Doria05/2016
978(14*10^182000+229)/9182001Robert Price03/2018
979(10^181996+41)/3181996Robert Price12/2017
980(5*10^181950-101)/3181951Robert Price04/2018
9812^603915+75233181797Enzo Doria04/2016
98211^174145-360181354Enzo Doria10/2012
9832^602351-396765181326Enzo Doria08/2013
9842^601957-113833181208Enzo Doria09/2014
98566^99581-65^99581181193Robert Price09/2013
98610^181182+383973181183Patrick De Geest04/2016
98710^181182-21181182Serge Batalov12/2014
988(5*10^181127-29)/3181128Robert Price03/2018
9892^601521-29143181076Enzo Doria07/2015
9902^601442-2797811181053Enzo Doria04/2016
9915*10^180992-9180993Robert Price05/2015
99210^180979+79477180980Patrick De Geest04/2016
99310^180979+107739180980Patrick De Geest04/2016
99410^180979-11180979Serge Batalov12/2014
9952^601023-113851180926Enzo Doria10/2014
9963*10^180852+29180853Robert Price05/2018
9972^600300-1852559180709Enzo Doria08/2015
998(10^180689+71)/9180689Serge Batalov07/2015
9992^600209+76487180681Enzo Doria05/2016
10002^599702-369885180529Enzo Doria11/2013


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: October, 18 2018 22:22 (Time in France)

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