Date: Nov 28, 2012 10:00 AM
Author: Ki Song
Subject: Re: From Fermat little theorem to Fermat Last Theorem

On Wednesday, November 28, 2012 8:34:35 AM UTC-5, John Jens wrote:
> Corrections was made.
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> It's sufficient that only a < p.


The statement of the theorem is that

a^p + b^p = c^p has no solutions.

There is nothing about a < p.

At best your argument shows that there are no solutions with a < p, but then you'd also have to consider the case a >= p.

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> If a + b ? c?0 because 0<a?b<c implies b ? c < 0 ,0 ? a + b ? c < a < p
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> If a + b ? c = 0 see (1)
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> If a + b ? c ? 1 and because a + b ? c < a implies a ? 2 and because a < p implies
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> p > 2.