PRP Records

Probable Primes Top 10000

(247113 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 ?
350110^100001+314199100002Patrick De Geest07/2018
354925206!+p(4114)100001Henri Lifchitz09/2005
355025206!-p(5447)100001Henri Lifchitz10/2005
355125206!-p(12402)100001Henri Lifchitz04/2006
355225206!-p(16290)100001Henri Lifchitz09/2006
355325206!-p(19647)100001Henri Lifchitz02/2007
35542^332194+11473100001Henri Lifchitz03/2007
352610^100000+342909100001Milton L. Brown12/2007
352710^100000+346579100001Robert Price04/2012
352810^100000+829767100001Robert Price05/2012
352910^100000+871899100001Robert Price05/2012
353010^100000+1475997100001Robert Price07/2012
353910^100000+1751769100001Robert Price08/2012
354010^100000+2155489100001Robert Price10/2012
354110^100000+2483527100001Robert Price12/2012
354210^100000+2503087100001Robert Price12/2012
354310^100000+2686179100001Robert Price12/2012
354410^100000+2688933100001Robert Price12/2012
354510^100000+3667159100001Robert Price08/2013
351010^100000+3938473100001Robert Price05/2015
351110^100000+3979761100001Robert Price05/2015
351210^100000+4293973100001Robert Price09/2015
355610^100000+4858267100001Robert Price12/2015
355710^100000+5113299100001Robert Price02/2016
355810^100000+5169411100001Robert Price02/2016
353110^100000+5354043100001Robert Price05/2016
353210^100000+5717979100001Robert Price05/2016
353310^100000+6080631100001Robert Price07/2016
353410^100000+6308469100001Robert Price07/2016
353510^100000+6512023100001Robert Price08/2016
353610^100000+6596557100001Robert Price08/2016
353710^100000+7115409100001Robert Price10/2016
353810^100000+7235803100001Robert Price10/2016
351310^100000+7867333100001Robert Price12/2016
351410^100000+8743093100001Robert Price02/2017
351510^100000+8955391100001Robert Price03/2017
351610^100000+9180019100001Robert Price03/2017
351710^100000+9225987100001Robert Price04/2017
351810^100000+9265587100001Robert Price04/2017
351910^100000+9287049100001Robert Price04/2017
352010^100000+9425053100001Robert Price05/2017
352110^100000+9450769100001Robert Price05/2017
352210^100000+9528747100001Robert Smith05/2017
352310^100000+9548071100001Robert Price06/2017
352410^100000+10064287100001Robert Price08/2017
352510^100000+10229569100001Robert Price10/2017
350210^100000+11187931100001Robert Price03/2018
350310^100000+11264721100001Robert Price04/2018
350410^100000+11477661100001Robert Price05/2018
350510^100000+11644653100001Robert Price07/2018
350610^100001-431439100001Patrick De Geest07/2018
350710^100000+11769399100001Robert Price08/2018
350810^100000+11848159100001Robert Price08/2018
350910^100000+11863467100001Robert Price08/2018
354610^100000+11992051100001Robert Price09/2018
35472^332196-1-2*29696100001Matt Stath11/2018
354810^100000+12363957100001Robert Price11/2018
35552^332196+1+2*17152100001Matt Stath12/2018
356010^99999+309403100000Daniel Heuer01/2004
355910^100000-260199100000Patrick De Geest01/2010
356110^99999-5951199999Patrick De Geest07/2009
35622^332141-11307399985Enzo Doria07/2014
3564(3^209561+2)/72810125599978Lelio R Paula09/2013
356323827^15702+15702^2382799978Hans Havermann04/2018
35652^332085+186589799968Enzo Doria03/2016
3566(9787*2^332070-1)/93640236999959Lelio R Paula05/2015
35672^332023+19199949Lelio R Paula02/2011
35682^331938+7114999924Enzo Doria04/2016
35692^331932-7879599922Lelio R Paula09/2016
35702^331921+77199919Lelio R Paula01/2013
3571(3^209419-2)/513275599912Lelio R Paula09/2013
35722^331860-11498999900Enzo Doria05/2015
35732^331746-1165599866Lelio R Paula09/2016
357411^95891-2899861Lelio R Paula08/2016
3575(2^331694-5)/1199849Lelio R Paula10/2013
3576(3^209246+7)/6499834Lelio R Paula09/2013
357725062^9617+9617^2506299823Hans Havermann04/2018
357815^84866-5299811Lelio R Paula08/2016
357913^89600+3099810Lelio R Paula08/2016
358022950^22309+22309^2295099798Hans Havermann03/2018
35815^142772-3899794Lelio R Paula08/2016
3582(23*2^331459+1)/47599778Lelio R Paula11/2013
35832^331416-331416+199767Robert Price10/2014
35842^331256-5799718Lelio R Paula12/2012
358528192^3443+3443^2819299714Hans Havermann03/2018
35862^331185+73799697Lelio R Paula01/2013
3587(4*10^99693+149)/999693Robert Price03/2017
35882^331154+188052799688Enzo Doria10/2016
3590(19^77951+1)/2099679Paul Bourdelais03/2010
358924354^12385+12385^2435499679Hans Havermann03/2018
35912^331110+187045999675Enzo Doria05/2016
35925*2^331075+799665Lelio R Paula08/2014
359325776^7351+7351^2577699659Hans Havermann02/2018
3594(16*10^99656-31)/399657Robert Price03/2016
35952^330968+34599632Lelio R Paula09/2016
35972*5^142528-799624Lelio R Paula11/2014
35962^330942+7732999624Enzo Doria05/2016
359814^86914-9999615Lelio R Paula08/2016
3599(19*2^330902+1)/7799611Lelio R Paula11/2013
360022971^21692+21692^2297199610Hans Havermann03/2018
36012^330845+7168799595Enzo Doria04/2016
3602(23*2^330770+1)/399573Lelio R Paula11/2013
360324494^11613+11613^2449499567Hans Havermann03/2018
36042^330735+841599562Lelio R Paula09/2016
36052^330720+7407199557Enzo Doria04/2016
360631^66738-299531Lelio R Paula09/2013
36077*3^208567+499513Lelio R Paula08/2014
3608(13*10^99508+47)/399509Robert Price01/2017
36092^330553+77999507Lelio R Paula01/2013
361015^84606-9499505Lelio R Paula08/2016
36116^127858+4799493Lelio R Paula08/2016
36125^142337+4899490Lelio R Paula08/2016
36137^117724-2099489Lelio R Paula08/2016
3614(29*10^99474-17)/399475Erik Branger09/2014
3615(9*2^330407-1)/799463Lelio R Paula03/2014
3616(68*10^99441+7)/399443Robert Price03/2016
361746^59791-45^5979199418Jean-Louis Charton01/2013
361823839^14802+14802^2383999417Hans Havermann02/2018
3619(2*10^99408+529)/999408Robert Price01/2017
362053^57646-299398Lelio R Paula09/2013
36212^330165+187002599390Enzo Doria05/2016
36222^330142-15599383Lelio R Paula12/2012
36232^330088-11525999367Enzo Doria06/2015
362424216^12671+12671^2421699354Hans Havermann01/2018
3625(746*10^99303+1)/999305Robert Price02/2017
36263^208107+4099293Lelio R Paula08/2016
3627(5*2^329833-1)/36999288Lelio R Paula02/2014
36288*3^208093+599287Lelio R Paula08/2014
36295^142043+5699284Lelio R Paula08/2016
363022*10^99275+799277Robert Price04/2016
36312^329778+187618999274Enzo Doria07/2016
3632(10^99239-13)/399239Robert Price02/2017
36333^207987+6299236Lelio R Paula08/2016
36342^329638+4999231Lelio R Paula12/2012
36357^117413-1899226Lelio R Paula08/2016
36362^329586-45890399216Enzo Doria04/2015
36372^329553+10199206Lelio R Paula12/2012
36382^329551-11289799205Enzo Doria06/2014
3639(3^207925+7)/5099204Lelio R Paula09/2013
36406^127458-1799399182Enzo Doria03/2013
364127197^4428+4428^2719799166Hans Havermann10/2017
3642(46*10^99143-1)/999144Robert Price12/2014
36437*10^99133+6999134Robert Price10/2017
364418^78968-306599127Enzo Doria03/2013
364525927^6654+6654^2592799122Hans Havermann10/2017
36462^329259+18999117Lelio R Paula12/2012
36478*10^99113+3999114Robert Price01/2017
36486^127364+7799109Lelio R Paula08/2016
36496^127285+1399047Lelio R Paula08/2016
3650(228581#+235862)/(2^3*11*71*151)99044Makoto Morimoto10/2017
36512^329007+7328399041Enzo Doria04/2016
36525*3^207543-899024Lelio R Paula08/2014
36532^328885+14999005Lelio R Paula12/2012
365423392^17075+17075^2339299004Hans Havermann09/2017
3655(2^328879-9)/11999001Lelio R Paula10/2013
36565^141618+5498987Lelio R Paula08/2016
36578*10^98982+5198983Robert Price05/2017
3658(21*2^328809-1)/770998979Lelio R Paula03/2014
36592^328794-279760198977Enzo Doria04/2016
36606^127176+598963Lelio R Paula11/2014
366124262^11989+11989^2426298960Hans Havermann09/2017
36622^328700-10970998949Enzo Doria04/2014
366346711!2-2^4671198916Robert Price09/2015
36649*7^117037+498909Lelio R Paula11/2014
3665(10^98890+149)/398890Serge Batalov12/2014
366622775^21978+21978^2277598889Hans Havermann08/2017
36672^328497-21693398888Enzo Doria05/2014
36682^328487+3276998885Lelio R Paula08/2016
36693^207250-11235898884Enzo Doria06/2014
367013^88754-9098867Lelio R Paula08/2016
36712^328406+70998861Lelio R Paula02/2013
3672(17*2^328413-1)/1617398860Lelio R Paula03/2014
36737^116976+7698857Lelio R Paula08/2016
36742^328335+115598839Lelio R Paula08/2016
3675(3*2^328311+1)/598832Lelio R Paula11/2013
3676287^40210+40210^28798832Norbert Schneider11/2014
3677(2^328284+9)/132598821Lelio R Paula10/2013
3678(21*2^328258+1)/212598814Lelio R Paula11/2013
367965^54491+4898788Lelio R Paula04/2016
36803^207042+9898785Lelio R Paula08/2016
36813^206977-11275698754Enzo Doria07/2014
36827^116846-5098747Lelio R Paula08/2016
36832^327967-2863598728Lelio R Paula08/2016
3684707^34642+34642^70798710Norbert Schneider12/2017
36856^126850-4798709Lelio R Paula08/2016
36868*6^126830-798694Lelio R Paula11/2014
368711^94770-27098693Enzo Doria08/2012
36882^327832+4398688Lelio R Paula12/2012
36892^327795+76198677Lelio R Paula02/2013
369010^98669+14741198670Patrick De Geest11/2016
369210^98669-9^(98669-1)98669Robert Price05/2016
369110^98669-10524998669Patrick De Geest11/2016
36932^327671-10980198639Enzo Doria04/2014
36945^141090-1498618Lelio R Paula08/2016
369520^75799+4798617Lelio R Paula08/2016
36962^327515-101798592Lelio R Paula08/2016
36976^126692+9768198586Mike Oakes04/2011
36982^327467-74198578Lelio R Paula08/2016
3699(2^327329+9)/1998535Lelio R Paula10/2013
37007^116577-6698519Lelio R Paula08/2016
3701(3*2^327250+1)/798512Lelio R Paula11/2013
3702(19*2^327192+1)/27598494Lelio R Paula11/2013
37032^327162-6694598486Lelio R Paula08/2016
37044*10^98472-398473Erik Branger11/2013
3705(6883*2^327047-1)/7798453Lelio R Paula05/2015
3706(71*10^98446+1)/998447Serge Batalov11/2010
370713^88363+9498432Lelio R Paula08/2016
370848^58543-47^5854398425Jean-Louis Charton11/2005
37096^126481+4198422Lelio R Paula08/2016
371078*10^98413-798415Robert Price05/2017
37117^116416+4698383Lelio R Paula08/2016
37127^116407-2498376Lelio R Paula07/2016
3713439^37228+37228^43998374Norbert Schneider08/2018
37142^326782-186067198372Enzo Doria03/2016
371517^79948+5898372Lelio R Paula08/2016
37163^206143-9898356Lelio R Paula08/2016
37178*5^140705+798350Lelio R Paula11/2014
37182^326585+1198312Lelio R Paula12/2012
37192^326582-45916198311Enzo Doria05/2015
3720(2^326548+9)/598301Lelio R Paula10/2013
37212^326538+7165998298Enzo Doria04/2016
372215^83575-5898292Lelio R Paula08/2016
372310^98288+398289Robert Price03/2011
372410^98288-11701798288Patrick De Geest11/2011
3725(44*10^98284-719)/998285Robert Price12/2017
37262^326421-279757398263Enzo Doria04/2016
37272^326401+1609598257Lelio R Paula07/2016
37287^116240-116240^798235Norbert Schneider05/2017
372917^79826-7898222Lelio R Paula08/2016
37302^326268-80998217Yves Minet04/2011
3731(418*10^98199+23)/998201Robert Price08/2017
373212*10^98198-798200Robert Price11/2017
373315^83496-7698199Lelio R Paula08/2016
3734(10223*2^326179+1)/612598190Lelio R Paula07/2014
37359*5^140471-498186Lelio R Paula11/2014
37362^326069-238398157Yves Minet10/2013
37372^325973+118598128Lelio R Paula07/2016
3738(25*2^325949-1)/1798121Lelio R Paula02/2014
37392^325945-184726998120Enzo Doria07/2015
37408*10^98111-6798112Robert Price10/2017
37412^325866+1598096Lelio R Paula12/2012
37422^325765+197430598066Enzo Doria06/2016
37432^325733-5869598056Lelio R Paula07/2016
37442^325717-364598051Lelio R Paula07/2016
3745(23*2^325583-1)/2198011Lelio R Paula02/2014
3746(7*10^98007-13)/398008Robert Price06/2016
37472^325512-45995997989Enzo Doria05/2015
3748(3^205354-8)/1797978Lelio R Paula09/2013
37492^325433+7681797966Enzo Doria05/2016
37505*10^97963+8197964Robert Price08/2017


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: December, 11 2018 05:54 (Time in France)

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