A301644 Primes of form 3*k^k + 1.

13, 769, 139969, 30000000001

Offset: 1

Author

Seiichi Manyama, Mar 25 2018

Keywords

• nonn

Comments

The next term is too large to include.

The next term (a(5)) has 703 digits. - Harvey P. Dale, Sep 04 2018

Crossrefs

Primes of form b*k^k + 1: A121270 (b=1), A216148 (b=2), this sequence (b=3), A301641 (b=4), A301642 (b=16).

Cf. A160600.

Programs

Mathematica

Select[Table[3*k^k+1,{k,500}],PrimeQ] (* Harvey P. Dale, Sep 04 2018 *)

Formula

a(n) = 3*(2*A160600(n))^(2*A160600(n)) + 1.