PRP Records

Probable Primes Top 10000

(252932 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 ?
377825206!+p(4114)100001Henri Lifchitz09/2005
377925206!-p(5447)100001Henri Lifchitz10/2005
378025206!-p(12402)100001Henri Lifchitz04/2006
378125206!-p(16290)100001Henri Lifchitz09/2006
378225206!-p(19647)100001Henri Lifchitz02/2007
37832^332194+11473100001Henri Lifchitz03/2007
377710^100000+342909100001Milton L. Brown12/2007
375910^100000+346579100001Robert Price04/2012
376010^100000+829767100001Robert Price05/2012
376110^100000+871899100001Robert Price05/2012
376210^100000+1475997100001Robert Price07/2012
375210^100000+1751769100001Robert Price08/2012
375310^100000+2155489100001Robert Price10/2012
375410^100000+2483527100001Robert Price12/2012
375510^100000+2503087100001Robert Price12/2012
375610^100000+2686179100001Robert Price12/2012
375710^100000+2688933100001Robert Price12/2012
375810^100000+3667159100001Robert Price08/2013
376610^100000+3938473100001Robert Price05/2015
376710^100000+3979761100001Robert Price05/2015
376810^100000+4293973100001Robert Price09/2015
377410^100000+4858267100001Robert Price12/2015
377510^100000+5113299100001Robert Price02/2016
377610^100000+5169411100001Robert Price02/2016
378410^100000+5354043100001Robert Price05/2016
378510^100000+5717979100001Robert Price05/2016
378610^100000+6080631100001Robert Price07/2016
378710^100000+6308469100001Robert Price07/2016
378810^100000+6512023100001Robert Price08/2016
378910^100000+6596557100001Robert Price08/2016
379010^100000+7115409100001Robert Price10/2016
379110^100000+7235803100001Robert Price10/2016
379210^100000+7867333100001Robert Price12/2016
379310^100000+8743093100001Robert Price02/2017
379410^100000+8955391100001Robert Price03/2017
379510^100000+9180019100001Robert Price03/2017
379610^100000+9225987100001Robert Price04/2017
379710^100000+9265587100001Robert Price04/2017
379810^100000+9287049100001Robert Price04/2017
379910^100000+9425053100001Robert Price05/2017
380010^100000+9450769100001Robert Price05/2017
380110^100000+9528747100001Robert Smith05/2017
380210^100000+9548071100001Robert Price06/2017
380310^100000+10064287100001Robert Price08/2017
380410^100000+10229569100001Robert Price10/2017
375110^100000+11863467100001Robert Price08/2018
376310^100000+11992051100001Robert Price09/2018
37642^332196-1-2*29696100001Matt Stath11/2018
376510^100000+12363957100001Robert Price11/2018
37692^332196+1+2*17152100001Matt Stath12/2018
377010^100000+12778033100001Robert Price02/2019
377110^100000+13581679100001Robert Price05/2019
377210^100000+13613199100001Robert Price05/2019
377310^100000+13752327100001Robert Price05/2019
380610^99999+309403100000Daniel Heuer01/2004
380510^100000-260199100000Patrick De Geest01/2010
380710^99999-5951199999Patrick De Geest07/2009
38082^332141-11307399985Enzo Doria07/2014
3809(3^209561+2)/72810125599978Lelio R Paula09/2013
381023827^15702+15702^2382799978Hans Havermann04/2018
38112^332085+186589799968Enzo Doria03/2016
3812(9787*2^332070-1)/93640236999959Lelio R Paula05/2015
38132^332023+19199949Lelio R Paula02/2011
38142^331938+7114999924Enzo Doria04/2016
38152^331932-7879599922Lelio R Paula09/2016
38162^331921+77199919Lelio R Paula01/2013
3817(3^209419-2)/513275599912Lelio R Paula09/2013
38182^331860-11498999900Enzo Doria05/2015
38192^331746-1165599866Lelio R Paula09/2016
382011^95891-2899861Lelio R Paula08/2016
3821(2^331694-5)/1199849Lelio R Paula10/2013
3822(3^209246+7)/6499834Lelio R Paula09/2013
382325062^9617+9617^2506299823Hans Havermann04/2018
382415^84866-5299811Lelio R Paula08/2016
382513^89600+3099810Lelio R Paula08/2016
382622950^22309+22309^2295099798Hans Havermann03/2018
38275^142772-3899794Lelio R Paula08/2016
3828(23*2^331459+1)/47599778Lelio R Paula11/2013
38292^331416-331416+199767Robert Price10/2014
38302^331256-5799718Lelio R Paula12/2012
383128192^3443+3443^2819299714Hans Havermann03/2018
38322^331185+73799697Lelio R Paula01/2013
3833(4*10^99693+149)/999693Robert Price03/2017
38342^331154+188052799688Enzo Doria10/2016
3836(19^77951+1)/2099679Paul Bourdelais03/2010
383524354^12385+12385^2435499679Hans Havermann03/2018
38372^331110+187045999675Enzo Doria05/2016
38385*2^331075+799665Lelio R Paula08/2014
383925776^7351+7351^2577699659Hans Havermann02/2018
3840(16*10^99656-31)/399657Robert Price03/2016
38412^330968+34599632Lelio R Paula09/2016
38432*5^142528-799624Lelio R Paula11/2014
38422^330942+7732999624Enzo Doria05/2016
384414^86914-9999615Lelio R Paula08/2016
3845(19*2^330902+1)/7799611Lelio R Paula11/2013
384622971^21692+21692^2297199610Hans Havermann03/2018
38472^330845+7168799595Enzo Doria04/2016
3848(23*2^330770+1)/399573Lelio R Paula11/2013
384924494^11613+11613^2449499567Hans Havermann03/2018
38502^330735+841599562Lelio R Paula09/2016
38512^330720+7407199557Enzo Doria04/2016
385231^66738-299531Lelio R Paula09/2013
38537*3^208567+499513Lelio R Paula08/2014
3854(13*10^99508+47)/399509Robert Price01/2017
38552^330553+77999507Lelio R Paula01/2013
385615^84606-9499505Lelio R Paula08/2016
38576^127858+4799493Lelio R Paula08/2016
38585^142337+4899490Lelio R Paula08/2016
38597^117724-2099489Lelio R Paula08/2016
3860(29*10^99474-17)/399475Erik Branger09/2014
3861(9*2^330407-1)/799463Lelio R Paula03/2014
3862(68*10^99441+7)/399443Robert Price03/2016
386346^59791-45^5979199418Jean-Louis Charton01/2013
386423839^14802+14802^2383999417Hans Havermann02/2018
3865(2*10^99408+529)/999408Robert Price01/2017
386653^57646-299398Lelio R Paula09/2013
38672^330165+187002599390Enzo Doria05/2016
38682^330142-15599383Lelio R Paula12/2012
38692^330088-11525999367Enzo Doria06/2015
387024216^12671+12671^2421699354Hans Havermann01/2018
3871Phi(200548,10)/320876999354Makoto Kamada04/2019
3872(746*10^99303+1)/999305Robert Price02/2017
38733^208107+4099293Lelio R Paula08/2016
3874(5*2^329833-1)/36999288Lelio R Paula02/2014
38758*3^208093+599287Lelio R Paula08/2014
38765^142043+5699284Lelio R Paula08/2016
387722*10^99275+799277Robert Price04/2016
38782^329778+187618999274Enzo Doria07/2016
3879(10^99239-13)/399239Robert Price02/2017
38803^207987+6299236Lelio R Paula08/2016
38812^329638+4999231Lelio R Paula12/2012
38827^117413-1899226Lelio R Paula08/2016
38832^329586-45890399216Enzo Doria04/2015
38842^329553+10199206Lelio R Paula12/2012
38852^329551-11289799205Enzo Doria06/2014
3886(3^207925+7)/5099204Lelio R Paula09/2013
38876^127458-1799399182Enzo Doria03/2013
388827197^4428+4428^2719799166Hans Havermann10/2017
3889(46*10^99143-1)/999144Robert Price12/2014
38907*10^99133+6999134Robert Price10/2017
389118^78968-306599127Enzo Doria03/2013
389225927^6654+6654^2592799122Hans Havermann10/2017
38932^329259+18999117Lelio R Paula12/2012
38948*10^99113+3999114Robert Price01/2017
38956^127364+7799109Lelio R Paula08/2016
38966^127285+1399047Lelio R Paula08/2016
3897(228581#+235862)/(2^3*11*71*151)99044Makoto Morimoto10/2017
38982^329007+7328399041Enzo Doria04/2016
38995*3^207543-899024Lelio R Paula08/2014
39002^328885+14999005Lelio R Paula12/2012
390123392^17075+17075^2339299004Hans Havermann09/2017
3902(2^328879-9)/11999001Lelio R Paula10/2013
39035^141618+5498987Lelio R Paula08/2016
39048*10^98982+5198983Robert Price05/2017
3905(21*2^328809-1)/770998979Lelio R Paula03/2014
39062^328794-279760198977Enzo Doria04/2016
39076^127176+598963Lelio R Paula11/2014
390824262^11989+11989^2426298960Hans Havermann09/2017
39092^328700-10970998949Enzo Doria04/2014
391046711!2-2^4671198916Robert Price09/2015
39119*7^117037+498909Lelio R Paula11/2014
3912127^47012+12698905Norbert Schneider01/2019
3913(10^98890+149)/398890Serge Batalov12/2014
391422775^21978+21978^2277598889Hans Havermann08/2017
39152^328497-21693398888Enzo Doria05/2014
39162^328487+3276998885Lelio R Paula08/2016
39173^207250-11235898884Enzo Doria06/2014
391813^88754-9098867Lelio R Paula08/2016
39192^328406+70998861Lelio R Paula02/2013
3920(17*2^328413-1)/1617398860Lelio R Paula03/2014
39217^116976+7698857Lelio R Paula08/2016
39222^328335+115598839Lelio R Paula08/2016
3923(3*2^328311+1)/598832Lelio R Paula11/2013
3924287^40210+40210^28798832Norbert Schneider11/2014
3925(2^328284+9)/132598821Lelio R Paula10/2013
3926(21*2^328258+1)/212598814Lelio R Paula11/2013
392765^54491+4898788Lelio R Paula04/2016
39283^207042+9898785Lelio R Paula08/2016
39293^206977-11275698754Enzo Doria07/2014
39307^116846-5098747Lelio R Paula08/2016
39312^327967-2863598728Lelio R Paula08/2016
3932707^34642+34642^70798710Norbert Schneider12/2017
39336^126850-4798709Lelio R Paula08/2016
39348*6^126830-798694Lelio R Paula11/2014
393511^94770-27098693Enzo Doria08/2012
39362^327832+4398688Lelio R Paula12/2012
39372^327795+76198677Lelio R Paula02/2013
393810^98669+14741198670Patrick De Geest11/2016
394010^98669-9^(98669-1)98669Robert Price05/2016
393910^98669-10524998669Patrick De Geest11/2016
39412^327671-10980198639Enzo Doria04/2014
39425^141090-1498618Lelio R Paula08/2016
394320^75799+4798617Lelio R Paula08/2016
39442^327515-101798592Lelio R Paula08/2016
39456^126692+9768198586Mike Oakes04/2011
39462^327467-74198578Lelio R Paula08/2016
3947(2^327329+9)/1998535Lelio R Paula10/2013
39487^116577-6698519Lelio R Paula08/2016
3949(3*2^327250+1)/798512Lelio R Paula11/2013
3950(19*2^327192+1)/27598494Lelio R Paula11/2013
39512^327162-6694598486Lelio R Paula08/2016
39524*10^98472-398473Erik Branger11/2013
3953(6883*2^327047-1)/7798453Lelio R Paula05/2015
3954(71*10^98446+1)/998447Serge Batalov11/2010
395513^88363+9498432Lelio R Paula08/2016
395648^58543-47^5854398425Jean-Louis Charton11/2005
39576^126481+4198422Lelio R Paula08/2016
395878*10^98413-798415Robert Price05/2017
39597^116416+4698383Lelio R Paula08/2016
39607^116407-2498376Lelio R Paula07/2016
3961439^37228+37228^43998374Norbert Schneider08/2018
39632^326782-186067198372Enzo Doria03/2016
396217^79948+5898372Lelio R Paula08/2016
39643^206143-9898356Lelio R Paula08/2016
39658*5^140705+798350Lelio R Paula11/2014
39662^326585+1198312Lelio R Paula12/2012
39672^326582-45916198311Enzo Doria05/2015
3968(2^326548+9)/598301Lelio R Paula10/2013
39692^326538+7165998298Enzo Doria04/2016
397015^83575-5898292Lelio R Paula08/2016
397110^98288+398289Robert Price03/2011
397210^98288-11701798288Patrick De Geest11/2011
3973(44*10^98284-719)/998285Robert Price12/2017
39742^326421-279757398263Enzo Doria04/2016
39752^326401+1609598257Lelio R Paula07/2016
39767^116240-116240^798235Norbert Schneider05/2017
397717^79826-7898222Lelio R Paula08/2016
39782^326268-80998217Yves Minet04/2011
3979(418*10^98199+23)/998201Robert Price08/2017
398012*10^98198-798200Robert Price11/2017
398115^83496-7698199Lelio R Paula08/2016
3982(10223*2^326179+1)/612598190Lelio R Paula07/2014
39839*5^140471-498186Lelio R Paula11/2014
39842^326069-238398157Yves Minet10/2013
39852^325973+118598128Lelio R Paula07/2016
3986(25*2^325949-1)/1798121Lelio R Paula02/2014
39872^325945-184726998120Enzo Doria07/2015
39888*10^98111-6798112Robert Price10/2017
39892^325866+1598096Lelio R Paula12/2012
39902^325765+197430598066Enzo Doria06/2016
39912^325733-5869598056Lelio R Paula07/2016
39922^325717-364598051Lelio R Paula07/2016
3993(23*2^325583-1)/2198011Lelio R Paula02/2014
3994(7*10^98007-13)/398008Robert Price06/2016
39952^325512-45995997989Enzo Doria05/2015
3996(3^205354-8)/1797978Lelio R Paula09/2013
39972^325433+7681797966Enzo Doria05/2016
39985*10^97963+8197964Robert Price08/2017
39992^325390-10906197953Enzo Doria04/2014
400013^87921+2497940Lelio R Paula08/2016


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: June, 18 2019 07:14 (Time in France)

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