1,2

Catalan's conjecture (now a theorem) is that 1 occurs just once as a difference, between 8 and 9.

Table of n, a(n) for n=1..73.

Alf van der Poorten, Remarks on the sequence of 'perfect' powers

Cf. A001597, A023057.

Cf. A189117 (conjectured number of pairs of consecutive perfect powers differing by n).

Sequence in context: A047595 A079298 A263715 * A230872 A247832 A047368

Adjacent sequences: A023052 A023053 A023054 * A023056 A023057 A023058

nonn,hard

David W. Wilson

approved