At 01:09 19/08/2002, dirving@box.net.au wrote:
"Ricardo M. Forno" wrote:
Does someone in the list know if the following conjecture, that includes as a particular case Fermat's Last Theorem, has ever been posed, and proved false or true? x[1]^p + x[2]^p + ... x[n]^p = z^p, for x[i] > 0 and 1 < n < p, has no integer solutions. TIA.
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I would conjecture ... no.
Reasonable: a proof of this extended conjecture would in turn provide an alternatve proof of FLT as a special case. So if there has been a proof, it has been found more recently than (and probably develops the ideas of) Wiles' tour de force. Morgan L. Owens "Yes, Andrew; a corollary :-)"