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arXiv · 2102.00906

On upper bounds for the count of elite primes

Matthew Just
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Abstract

We look at upper bounds for the count of certain primes related to the Fermat numbers $F_n=2^{2^n}+1$ 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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Matthew Just. 2021-02-01. On upper bounds for the count of elite primes. https://arxiv.org/abs/2102.00906

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