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A generalization of a theorem by Křížek, Luca, and Somer on elite primes
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Tom Müller
Veröffentlicht/Copyright:
25. September 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
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Artikel in diesem Heft
- 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
Schlagwörter für diesen Artikel
generalized elite primes;
generalized Fermat numbers;
anti-elite primes;
non-elite primes
Artikel in diesem Heft
- 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
