A301641 Primes of form 4*k^k + 1.

5, 17, 109, 3294173, 355271367880050092935562133789062501

Offset

1,1

Comments

No additional terms through k=1000. - Harvey P. Dale, Oct 06 2023

Links

Table of n, a(n) for n=1..5.

Formula

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

Maple

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

Mathematica

Select[Table[4n^n+1, {n, 30}], PrimeQ] (* Harvey P. Dale, Oct 06 2023 *)

Crossrefs

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

Cf. A301519, A301808.

Sequence in context: A331636 A234797 A062586 * A067710 A197912 A203114

Adjacent sequences: A301638 A301639 A301640 * A301642 A301643 A301644

Keyword

nonn

Author

Seiichi Manyama, Mar 25 2018

Status

approved