cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A112245 Numbers k such that 65537*2^k+1 is prime.

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%I A112245 #8 Jun 13 2017 10:15:08
%S A112245 287,1695,81359,512895
%N A112245 Numbers k such that 65537*2^k+1 is prime.
%C A112245 Note that 65537=2^16+1 is the largest known Fermat prime. These n yield provable primes. The primes are the smallest numbers in classes 303, 1711 and 81375 of the phi iteration (see A007755).
%C A112245 Jacques Molne found 512895. The corresponding provable prime is the smallest number in class 512911 of the Phi iteration.
%o A112245 (PARI) is(n)=ispseudoprime(65537*2^n+1) \\ _Charles R Greathouse IV_, Jun 13 2017
%Y A112245 Cf. A002253, A002254, A002259, A053345 (F*2^n+1 is prime, where F is a Fermat prime).
%K A112245 nonn,hard
%O A112245 1,1
%A A112245 _T. D. Noe_, Aug 30 2005, Aug 26 2007