Journal of Integer Sequences, Vol. 14 (2011), Article 11.8.5

On the Distribution of Perfect Powers

Rafael Jakimczuk
División Matemática
Universidad Nacional de Luján
Buenos Aires


Let N(x) be the number of perfect powers that do not exceed x. In this article we obtain asymptotic formulae for the counting function N(x).

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(Concerned with sequence A001597.)

Received May 28 2011; revised version received August 16 2011. Published in Journal of Integer Sequences, September 25 2011.

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