The only consecutive integer powers are 8 and 9.

This was conjectured by Eugène Catalan in 1844 and proved by Preda Mihăilescu in 2002.

via Richard Elwes

The only consecutive integer powers are 8 and 9.

This was conjectured by Eugène Catalan in 1844 and proved by Preda Mihăilescu in 2002.

via Richard Elwes

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Cool. Hadn’t heard of that proof.