Re: Mod 2011

From: Jyrki Lahtonen <lahtonen@xxxxxx>
Date: Tue, 16 Jan 2007 14:52:48 +0200

León-Sotelo wrote:

Determine the remainder when 1004! is divided by 2011.

Thanks
León-Sotelo

Check whether 2011 is a prime or not. If it isn't, the
answer is easy to deduce. If it is (as I suspect), then
one has to resort to Wilson's theorem (and basic facts about
finite fields). Hint: 1004 is very close to half of 2010.

Cheers,

Jyrki
.

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