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Subject: Re: Games people play [by Lewis Dartnell] Nov/2003

Author: José Antônio Fabiano Mendes

Date: 07:42:00 02/03/04

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On February 03, 2004 at 09:51:31, GuyHaworth wrote:

>
>Good to see that, but a reference to Noam Elkies as the author of the relevant
>article on CGT and Chess would have improved it.
>
>g

By the way, Noam Elkies is famous for having published in 1988
a counterexample for Euler's conjecture. Regards, JAFM

  http://www.urbanlegends.com/science/fermats_last_theorem.html

  A related conjecture from Euler

  x^n + y^n + z^n = c^n has no solution if n is >= 4

Noam Elkies gave a counterexample, namely 2682440^4 + 15365639^4 + 18796760^4 =
20615673^4. Subsequently, Roger Frye found the absolutely smallest solution by
(more or less) brute force: it is 95800^4 + 217519^4 + 414560^4 = 422481^4.
"Several years", Math. Comp. 51 (1988) 825-835.



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