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
Cool. Hadn’t heard of that proof.
*nontrivial