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steiner@xxxxxxxxxxxxx wrote:
> Hello, all!
> It is known that Fermat solved the Diophantine equation x^4 + y ^4
> = z^2 over
> the integers and proved that it has no nontrivial solutions. He used
> the
> method of infinite descent.
> What can one say about the equation x^4 - y^4 = z^^2? Are there any
> nontrivial
> integer solutions?
http://fermatslasttheorem.blogspot.com/2005/05/fermats-one-proof.html
> More generally, what is known about the equation
> x^p - y^p = z^2, where p is an odd prime?
> Regards,
> Ray Steiner
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