A Corollary to Iterated Exponentiation
R. M. Sternheimer · The Fibonacci Quarterly · 1985
In connection with three previous papers on t Ur. conve ^ gence of iterated exponentiation by Creutz and Sternheimer [1], [2], [3], and with some earlier work [4], [5], it occurred to me that the problem of the proof of Fermat f s Last Theorem might be intimately connected with the properties of the function F(x9 y) E x y- y x s and in particular with the condition that F(x, y) = 0, (1) when x and y are restricted to be positive integers [6], It can be shown that aside from the trivial solution x = ys (1) is satisfied only for x = 2, y = 4, in which case F(x, y) = 2 h