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From: Ronan Le Hy <ronan.lehy@gmail.com>
To: caml-list@yquem.inria.fr
Subject: Re: [Caml-list] Errors in Bignum arithmetic?
Date: Tue, 10 Aug 2010 14:52:19 +0200	[thread overview]
Message-ID: <AANLkTikcZQs8_yu1uMCMoFrj8HpxFK7DzyHqQRfONcAY@mail.gmail.com> (raw)
In-Reply-To: <20100810123410.GC16292@vaio.jimpryor.net>

Hello,

2010/8/10 Jim Pryor <lists+caml@jimpryor.net>:
> Fermat's Little Theorem says that when p is prime, then for all 1<=a<p,
> a**(p-1) mod p = 1. [...]
>
> The Carmichael numbers are a series of composites that have the property
> for all choices of a. http://mathworld.wolfram.com/CarmichaelNumber.html

This page says "for every choice of a [...] where a and p are
relatively prime". I believe that explains that your examples below do
not work :

> 3**(561-1) mod 561 = 1
> 5**(1105-1) mod 1105 = 1
> 5**(2465-1) mod 2465 = 1
> 5**(10585-1) mod 10585 = 1

-- 
Ronan


  parent reply	other threads:[~2010-08-10 12:52 UTC|newest]

Thread overview: 6+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
2010-08-10 12:34 Jim Pryor
2010-08-10 12:41 ` [Caml-list] " Thomas Fischbacher
2010-08-10 12:46 ` David House
2010-08-10 13:42   ` Jim Pryor
2010-08-10 12:52 ` Ronan Le Hy [this message]
2010-08-10 13:21 ` Christophe TROESTLER

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