|Journal of Integer Sequences, Vol. 8 (2005), Article 05.5.7|
Instituto de Matemáticas
Universidad Nacional Autónoma de México
Abstract: In this paper, among other results, we show that for any fixed integer l >= 3, there are only finitely many perfect l-th powers all of whose digits are equal but one, except for the trivial families 10ln when l >= 3 and 8 . 103n if l = 3.
Received October 3 2005; revised version received November 9 2005. Published in Journal of Integer Sequences November 14 2005.