On The Other Hand, It Is Impossible For A Cube To Be Written As A Sum Of Two Cubes Or A Fourth Power To Be Written As A Sum Of Two Fourth Powers O

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On the other hand, it is impossible for a cube to be written as a sum of
two cubes or a fourth power to be written as a sum of two fourth powers
or, in general, for any number which is a power greater than the
second to be written as a sum of two like powers. I have a truly
marvelous demonstration of this proposition which this margin is too
narrow to contain.
-- Fermat
-- Fermat's Last Theorem, by Harold Edwards

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