|Journal of Integer Sequences, Vol. 9 (2006), Article 06.3.8|
Institut für Cusanus-Forschung
Abstract: A prime number p is called elite if only finitely many Fermat numbers 2 2 n +1 are quadratic residues of p. Previously only the interval up to 109 was systematically searched for elite primes and 16 such primes were found. We extended this research up to 2.5 . 1011 and found five further elites, among which 1,151,139,841 is the smallest and 171,727,482,881 the largest.
(Concerned with sequence A102742 .)
Received January 18 2006; revised version received August 21 2006. Published in Journal of Integer Sequences August 21 2006.