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Article 06.3.8 All Elite Primes Up to 250 Billion

By Alain Chaumont and Tom Müller


A prime number p is called elite if only finitely many Fermat numbers 22n + 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.

Year: 2011
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