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Primes of the form 4^k + k + 1.
1

%I #14 Mar 27 2018 07:55:48

%S 2,19,5444517870735015415413993718908291383363

%N Primes of the form 4^k + k + 1.

%F a(n) = 4^(2*A301633(n)) + 2*A301633(n) + 1.

%p a:=n->`if`(isprime(4^k+k+1),4^k+k+1,NULL): seq(a(k),k=0..300); # _Muniru A Asiru_, Mar 25 2018

%Y Primes of the form b^k+k+1: A061421 (b=2), A182327 (b=3), this sequence (b=4).

%Y Cf. A301633.

%K nonn

%O 1,1

%A _Seiichi Manyama_, Mar 25 2018