Catalan's Diophantine Problem
Find consecutive Powers, i.e., solutions to
excluding 0 and 1. Catalan's Conjecture is that the only solution is
, so 8 and 9 (
and 
)are the only consecutive Powers (again excluding 0 and 1).See also Catalan's Conjecture
References
Cassels, J. W. S. ``On the Equation Inkeri, K. ``On Catalan's Problem.'' Acta Arith. 9, 285-290, 1964.
. II.'' Proc. Cambridge Phil. Soc. 56, 97-103, 1960.
- Mikusinski's Problem
- Milin Conjecture
- Mill
- Miller-Askinuze Solid
- Miller Cylindrical Projection
- Miller's Algorithm
- Miller's Primality Test
- Miller's Solid
- Milliard
- Millin Series
- Million
- Mills' Constant
- Milne's Method
- Milnor's Conjecture
- Milnor's Theorem
- Minimal Cover
- Minimal Discriminant
- Minimal Matrix
- Minimal Residue
- Minimal Set
- Minimal Surface
- Minimax Approximation
- Minimax Polynomial
- Minimax Theorem
- Minimum