A301637 Primes of the form 4^k + k + 1.

2, 19, 5444517870735015415413993718908291383363

Offset: 1

Author

Seiichi Manyama, Mar 25 2018

Keywords

• nonn

Crossrefs

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

Cf. A301633.

Programs

Maple

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

Formula

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