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