Article
Licensed
Unlicensed
Requires Authentication
A generalization of a theorem by Křížek, Luca, and Somer on elite primes
-
Tom Müller
Published/Copyright:
September 25, 2009
Abstract
A prime number p is called b-elite if only finitely many generalized Fermat numbers Fb,n=b2n+1 are quadratic residues modulo p. We generalize a Theorem of Křížek, Luca, and Somer giving an asymptotic bound for elite primes, present some further results and derive conjectures concerning primes related to generalized elites.
Published Online: 2009-09-25
Published in Print: 2008-12
© by Oldenbourg Wissenschaftsverlag, München, Germany
You are currently not able to access this content.
You are currently not able to access this content.
Articles in the same Issue
- A generalization of a theorem by Křížek, Luca, and Somer on elite primes
- A uniqueness theorem for meromorphic mappings without counting multiplicities
- On the regularity of H-surfaces with free boundaries on a smooth support manifold
- Schwarz inequality for squares of harmonic conjugate functions
- Two spaces conditions for integrability of the Fourier transform
- An example concerning islands of meromorphic functions and their derivatives
- Nonexistence criteria for polyharmonic boundary-value problems
Keywords for this article
generalized elite primes;
generalized Fermat numbers;
anti-elite primes;
non-elite primes
Articles in the same Issue
- A generalization of a theorem by Křížek, Luca, and Somer on elite primes
- A uniqueness theorem for meromorphic mappings without counting multiplicities
- On the regularity of H-surfaces with free boundaries on a smooth support manifold
- Schwarz inequality for squares of harmonic conjugate functions
- Two spaces conditions for integrability of the Fourier transform
- An example concerning islands of meromorphic functions and their derivatives
- Nonexistence criteria for polyharmonic boundary-value problems
