PRP Records

Probable Primes Top 10000

(291192 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 ?
762625206!+p(4114)100001Henri Lifchitz09/2005
762725206!-p(5447)100001Henri Lifchitz10/2005
762825206!-p(12402)100001Henri Lifchitz04/2006
762925206!-p(16290)100001Henri Lifchitz09/2006
763025206!-p(19647)100001Henri Lifchitz02/2007
76312^332194+11473100001Henri Lifchitz03/2007
762110^100000+342909100001Milton L. Brown12/2007
762210^100000+346579100001Robert Price04/2012
762310^100000+829767100001Robert Price05/2012
762410^100000+871899100001Robert Price05/2012
762510^100000+1475997100001Robert Price07/2012
761410^100000+1751769100001Robert Price08/2012
761510^100000+2155489100001Robert Price10/2012
761610^100000+2483527100001Robert Price12/2012
761710^100000+2503087100001Robert Price12/2012
761810^100000+2686179100001Robert Price12/2012
761910^100000+2688933100001Robert Price12/2012
762010^100000+3667159100001Robert Price08/2013
750110^100000+14139243100001Robert Price06/2019
750210^100000+14151057100001Robert Price06/2019
750310^100000+14218923100001Robert Price06/2019
750410^100000+15136771100001Robert Price09/2019
750510^100000+15219873100001Robert Price10/2019
750610^100000+15274039100001Robert Price10/2019
750710^100000+15394069100001Robert Price10/2019
750810^100000+15547119100001Robert Price10/2019
750910^100000+15932923100001Robert Price11/2019
751010^100000+16345467100001Robert Price12/2019
751110^100000+16672143100001Robert Price01/2020
751210^100000+16731939100001Robert Price02/2020
751310^100000+16907049100001Robert Price03/2020
751410^100000+17652523100001Robert Price05/2020
751510^100000+18047167100001Robert Price05/2020
751610^100000+18471819100001Robert Price06/2020
751710^100000+18494793100001Robert Price07/2020
751810^100000+18762609100001Robert Price07/2020
751910^100000+19204141100001Robert Price08/2020
752010^100000+19349793100001Robert Price08/2020
752110^100000+19495699100001Robert Price09/2020
752210^100000+19668927100001Robert Price09/2020
752310^100000+19704313100001Robert Price09/2020
758310^100000+19956229100001Robert Price09/2020
758410^100000+3*(10^37093-1)/9*10^31454+1100001Makoto Morimoto09/2020
758510^100000+4*(10^36149-1)/9*10^31926+1100001Makoto Morimoto09/2020
758610^100000+6*(10^41029-1)/9*10^29486+1100001Makoto Morimoto09/2020
758710^100000+7*(10^55505-1)/9*10^22248+1100001Makoto Morimoto09/2020
758810^100000+20234607100001Robert Price10/2020
758910^100000+20752303100001Robert Price11/2020
759010^100000+20774041100001Robert Price11/2020
759110^100000+20854741100001Robert Price11/2020
759210^100000+20908917100001Robert Price11/2020
759310^100000+20994793100001Robert Price11/2020
759410^100000+21354249100001Robert Price12/2020
759510^100000+21455559100001Robert Price12/2020
759610^100000+21538873100001Robert Price12/2020
759710^100000+21830901100001Robert Price01/2021
759810^100000+21842629100001Robert Price01/2021
759910^100000+21930861100001Robert Price01/2021
760010^100000+22092943100001Robert Price03/2021
760110^100000+22278417100001Robert Price03/2021
760210^100000+22388581100001Robert Price03/2021
760310^100000+22390933100001Robert Price03/2021
760410^100000+22436169100001Robert Price03/2021
760510^100000+22714557100001Robert Price04/2021
760610^100000+22847671100001Robert Price04/2021
760710^100000+23178567100001Robert Price05/2021
760810^100000+23332003100001Robert Price05/2021
760910^100000+23414571100001Robert Price05/2021
761010^100000+23529979100001Robert Price05/2021
761110^100000+23749243100001Robert Price06/2021
761210^100000+23821771100001Robert Price06/2021
761310^100000+24179307100001Robert Price07/2021
752410^100000+24543147100001Robert Price08/2021
752510^100000+24781659100001Robert Price08/2021
752610^100000+24906153100001Robert Price08/2021
752710^100000+25682679100001Robert Price10/2021
752810^100000+25905301100001Robert Price10/2021
752910^100000+25923967100001Robert Price10/2021
753010^100000+26061691100001Robert Price10/2021
753110^100000+26173351100001Robert Price11/2021
753210^100000+26673487100001Robert Price11/2021
753310^100000+26849359100001Robert Price12/2021
753410^100000+26893887100001Robert Price12/2021
753510^100000+26954551100001Robert Price12/2021
753610^100000+27024543100001Robert Price12/2021
753710^100000+27060877100001Robert Price12/2021
753810^100000+27617577100001Robert Price03/2022
753910^100000+27869671100001Robert Price03/2022
754010^100000+27956481100001Robert Price03/2022
754110^100000+28078261100001Robert Price03/2022
754210^100000+28150203100001Robert Price03/2022
754310^100000+28626021100001Robert Price05/2022
754410^100000+28649299100001Robert Price05/2022
754510^100000+29409799100001Robert Price06/2022
754610^100000+29415577100001Robert Price06/2022
754710^100000+29424201100001Robert Price06/2022
754810^100000+29610153100001Robert Price07/2022
754910^100000+30166789100001Robert Price07/2022
755010^100000+30338259100001Robert Price07/2022
755110^100000+30540031100001Robert Price07/2022
755210^100000+30635157100001Robert Price07/2022
755310^100000+30762711100001Robert Price07/2022
755410^100000+30862057100001Robert Price07/2022
755510^100000+30998953100001Robert Price07/2022
755610^100000+31405203100001Robert Price07/2022
755710^100000+40159119100001Robert Price07/2022
755810^100000+40181863100001Robert Price07/2022
755910^100000+40277131100001Robert Price07/2022
756010^100000+40326061100001Robert Price07/2022
756110^100000+40417411100001Robert Price07/2022
756210^100000+50049909100001Robert Price07/2022
756310^100000+50510163100001Robert Price07/2022
756410^100000+50591583100001Robert Price07/2022
756510^100000+50850357100001Robert Price07/2022
756610^100000+50974641100001Robert Price07/2022
756710^100000+51046671100001Robert Price07/2022
756810^100000+51459657100001Robert Price07/2022
756910^100000+70081471100001Robert Price07/2022
757010^100000+70159557100001Robert Price07/2022
757110^100000+70262479100001Robert Price07/2022
757210^100000+70417521100001Robert Price07/2022
757310^100000+70476531100001Robert Price07/2022
757410^100000+70534627100001Robert Price07/2022
757510^100000+70873077100001Robert Price07/2022
757610^100000+71114643100001Robert Price07/2022
757710^100000+71272539100001Robert Price07/2022
757810^100000+80025337100001Robert Price07/2022
757910^100000+71580817100001Robert Price07/2022
758010^100000+80270349100001Robert Price07/2022
758110^100000+29831551100001Robert Price07/2022
758210^100000+29955417100001Robert Price08/2022
763210^99999+309403100000Daniel Heuer01/2004
763310^100000-260199100000Patrick De Geest01/2010
76342^332192+10192681100000Sujan Das06/2022
763610^99999-5951199999Patrick De Geest07/2009
763510^99998+23543799999Patrick De Geest02/2020
763710^99998-28658799998Patrick De Geest02/2020
763810^99997+7229799998Patrick De Geest02/2020
763910^99997-40262799997Patrick De Geest02/2020
764010^99996+27985399997Patrick De Geest02/2020
764110^99997-50000000199997Robert Price12/2020
764210^99996-9496199996Patrick De Geest02/2020
764310^99995+5463399996Patrick De Geest02/2020
764410^99995-10142999995Patrick De Geest02/2020
764510^99994+11727199995Patrick De Geest02/2020
764610^99994-45228999994Patrick De Geest02/2020
764710^99993+37131199994Patrick De Geest02/2020
764810^99993-18649199993Patrick De Geest02/2020
764910^99992+1743199993Patrick De Geest02/2020
765010^99992-2860799992Patrick De Geest02/2020
765110^99991+12539199992Patrick De Geest02/2020
765210^99991-20457399991Patrick De Geest02/2020
765310^99990+1389999991Patrick De Geest02/2020
765410^99990-811199990Patrick De Geest02/2020
76552^332141-11307399985Enzo Doria07/2014
76566*10^99979-7999980Robert Price03/2022
7658(3^209561+2)/72810125599978Lelio R Paula09/2013
765723827^15702+15702^2382799978Hans Havermann04/2018
76592^332085+186589799968Enzo Doria03/2016
7660(9787*2^332070-1)/93640236999959Lelio R Paula05/2015
76612^332023+19199949Lelio R Paula02/2011
7662(6271^26321-1)/627099946Serge Batalov06/2022
76637*10^99944+2799945Robert Price11/2020
76642^331938+7114999924Enzo Doria04/2016
76652^331932-7879599922Lelio R Paula09/2016
76662^331921+77199919Lelio R Paula01/2013
7667(3^209419-2)/513275599912Lelio R Paula09/2013
76682^331860-11498999900Enzo Doria05/2015
76692^331746-1165599866Lelio R Paula09/2016
767011^95891-2899861Lelio R Paula08/2016
7671(2^331694-5)/1199849Lelio R Paula10/2013
7672(3^209246+7)/6499834Lelio R Paula09/2013
767325062^9617+9617^2506299823Hans Havermann04/2018
767415^84866-5299811Lelio R Paula08/2016
767513^89600+3099810Lelio R Paula08/2016
76762^331527+10028024506599800Paul Bourdelais10/2021
767722950^22309+22309^2295099798Hans Havermann03/2018
76785^142772-3899794Lelio R Paula08/2016
7679(7482^25759-1)/748199787Serge Batalov06/2022
7680(23*2^331459+1)/47599778Lelio R Paula11/2013
76812^331416-331416+199767Robert Price10/2014
76822^331256-5799718Lelio R Paula12/2012
768328192^3443+3443^2819299714Hans Havermann03/2018
76842^331185+73799697Lelio R Paula01/2013
7685(4*10^99693+149)/999693Robert Price03/2017
76862^331154+188052799688Enzo Doria10/2016
7688(19^77951+1)/2099679Paul Bourdelais03/2010
768724354^12385+12385^2435499679Hans Havermann03/2018
76892^331110+187045999675Enzo Doria05/2016
76905*2^331075+799665Lelio R Paula08/2014
769125776^7351+7351^2577699659Hans Havermann02/2018
7692(16*10^99656-31)/399657Robert Price03/2016
7693(6059^26347-1)/605899652Serge Batalov06/2022
7694(15544^23773-1)/1554399642Serge Batalov06/2022
76962^330968+34599632Lelio R Paula09/2016
7695(2^330969+690)/299632Stefano Morozzi09/2020
76982*5^142528-799624Lelio R Paula11/2014
76972^330942+7732999624Enzo Doria05/2016
769914^86914-9999615Lelio R Paula08/2016
7700(19*2^330902+1)/7799611Lelio R Paula11/2013
770122971^21692+21692^2297199610Hans Havermann03/2018
77022^330845+7168799595Enzo Doria04/2016
7703(26667^22501-1)/2666699585Serge Batalov06/2022
7704(23*2^330770+1)/399573Lelio R Paula11/2013
770524494^11613+11613^2449499567Hans Havermann03/2018
77062^330735+841599562Lelio R Paula09/2016
77072^330720+7407199557Enzo Doria04/2016
7708(10405^24781-1)/1040499548Serge Batalov06/2022
771031^66738-299531Lelio R Paula09/2013
7709(9002^25171-1)/900199531Serge Batalov06/2022
7711(5023^26893-1)/502299527Serge Batalov06/2022
77127*3^208567+499513Lelio R Paula08/2014
7713(15881^23689-1)/1588099511Serge Batalov06/2022
7714(13*10^99508+47)/399509Robert Price01/2017
77152^330553+77999507Lelio R Paula01/2013
771615^84606-9499505Lelio R Paula08/2016
7717(10^99497+173)/399497Robert Price05/2021
77189*10^99493-4399494Robert Price09/2021
77196^127858+4799493Lelio R Paula08/2016
77205^142337+4899490Lelio R Paula08/2016
77217^117724-2099489Lelio R Paula08/2016
7722(559^36209-1)/55899479Serge Batalov06/2022
7723(13470^24091-1)/1346999477Serge Batalov06/2022
7724(29*10^99474-17)/399475Erik Branger09/2014
7725(185*10^99466-11)/399468Robert Price10/2020
7726(2^330410+2038)/299464Stefano Morozzi09/2020
7727(9*2^330407-1)/799463Lelio R Paula03/2014
7728(2863^28771-1)/286299453Serge Batalov06/2022
7729(2^330373+2114)/299452Stefano Morozzi09/2020
7730(68*10^99441+7)/399443Robert Price03/2016
773110^99434+15557199435Patrick De Geest04/2020
773210^99434-12345678999434Robert Price02/2020
773310^99434-19123799434Patrick De Geest04/2020
773446^59791-45^5979199418Jean-Louis Charton01/2013
773523839^14802+14802^2383999417Hans Havermann02/2018
7736(2*10^99408+529)/999408Robert Price01/2017
7737(2^330216+3510)/299405Stefano Morozzi09/2020
773853^57646-299398Lelio R Paula09/2013
77392^330165+187002599390Enzo Doria05/2016
77407*10^99383+9799384Robert Price09/2021
77412^330142-15599383Lelio R Paula12/2012
77422^330088-11525999367Enzo Doria06/2015
774324216^12671+12671^2421699354Hans Havermann01/2018
7744Phi(200548,10)/320876999354Makoto Kamada04/2019
7745(746*10^99303+1)/999305Robert Price02/2017
77463^208107+4099293Lelio R Paula08/2016
7747(3939^27617-1)/393899291Serge Batalov06/2022
7748(5*2^329833-1)/36999288Lelio R Paula02/2014
77498*3^208093+599287Lelio R Paula08/2014
77505^142043+5699284Lelio R Paula08/2016


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: September, 22 2022 18:03 (Time in France)

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