On Anti-Elite Prime Numbers
Institut für Cusanus-Forschung
an der Universität und der Theologischen Fakultät Trier
An odd prime number p is called anti-elite if only finitely many
Fermat numbers are quadratic non-residues to p. This
concept is the exact opposite to that of elite prime numbers. We study
some fundamental properties of anti-elites and show that there are
infinitely many of them. A computational search among all the numbers
up to 100 billion yielded 84 anti-elite primes.
Full version: pdf,
(Concerned with sequence
Received June 28 2007;
revised version received September 18 2007.
Published in Journal of Integer Sequences, September 20 2007.
Journal of Integer Sequences home page