On Anti-Elite Prime Numbers
JOURNAL OF INTEGER SEQUENCES(2007)
Abstract
An odd prime number pis called anti-elite if only finitely many Fermat numbers arc 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.
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Key words
anti-elite primes, elite primes, Fermat numbers
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