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On upper bounds for the count of elite primes

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 نشر من قبل Matthew Just
 تاريخ النشر 2021
  مجال البحث
والبحث باللغة English
 تأليف Matthew Just




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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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