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title
sylvy's mathsy blog
description
my blog, mostly Maths.
site name
sylvy's mathsy blog
author
updated
2026-03-02 08:46:09
raw text
sylvy's mathsy blog – my blog, mostly Maths. Skip to content sylvy's mathsy blog my blog, mostly Maths. Menu and widgets home thinking about mathematics research Sylvy’s puzzle corner about me Fermat’s Little Theorem One of the first results in any introduction to number theory is Fermat’s Little Theorem, so called in contrast to the Last Theorem, or indeed to any of Fermat’s other results. Theorem 1 (Fermat’s Little Theorem). Let be a prime number and let be any integer. Then In this post — aimed at students taking an introductory course in number theory — I want to explain the two proofs that I find to be the simplest. Neither is deep, but the second requires a tiny bit of group theory, whereas the first does not. 1. First proof: by binomial coefficients We shall take as given that the binomial coefficients , for are natural numbers. We also take as given the Binomial Theorem: Fix a prime number . Lemma 2. For , the binomial co...
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34 - s0.wp.com, wp.me, secure.gravatar.com, s1.wp.com, wordpress.com
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