On upper bounds for the count of elite primes

Abstract

We look at upper bounds for the count of certain primes related to the Fermat numbers Fn=22n+1 called elite primes. We first note an oversight in a result of Krizek, Luca and Somer and give the corrected, slightly weaker upper bound. We then assume the Generalized Riemann Hypothesis for Dirichlet L functions and obtain a stronger conditional upper bound.

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