A301641 - OEIS

%I #20 Oct 06 2023 13:49:20

%S 5,17,109,3294173,355271367880050092935562133789062501

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

%C No additional terms through k=1000. - _Harvey P. Dale_, Oct 06 2023

%F a(n) = 4*A301519(n+1)^A301519(n+1) + 1.

%p a:=k->`if`(isprime(4*k^k+1),4*k^k+1,NULL): seq(a(k),k=1..1400); # _Muniru A Asiru_, Mar 25 2018

%t Select[Table[4n^n+1,{n,30}],PrimeQ] (* _Harvey P. Dale_, Oct 06 2023 *)

%Y Primes of form b*k^k + 1: A121270 (b=1), A216148 (b=2), A301644 (b=3), this sequence (b=4), A301642 (b=16).

%Y Cf. A301519, A301808.

%K nonn

%O 1,1

%A _Seiichi Manyama_, Mar 25 2018