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From: Deep on 13 Feb 2010 08:55
Consider the following equation (1) in six variables a, b, c, d, e, f

X^(1/mk-2) = Y^1/n (1)

X = (k^2a^2 - b^k)/c^k, Y = (k^2d^2 -e^k)/f
m, n are integer each > 1, k is a prime > 3, f is irrational and a k-
th root of an integer,
(mk-2), n are relatively prime.

Assertion: (1) can not be satisfied if all of a, b, c, d, e are
integers > 1

Any helpful comments will be highly appreciated.
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