The Owl of Minerva

July 2021


Find unequal positive integers x, y, z such that (see answer)

x 3 + y 3 = z 4

It is as if we go through a cycle: The more knowledge we accumulate about a particular natural or man-made phenomenon, the more it changes from something mysterious into something merely “complicated,” then into something simple, until we probe and question the elements of its simplicity, and it enters the realm of mystery once more.
Erno Rubik, Cubed: The Puzzle of us all

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