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Primes of form 3*k^k + 1.
4

%I #12 Sep 04 2018 16:36:55

%S 13,769,139969,30000000001

%N Primes of form 3*k^k + 1.

%C The next term is too large to include.

%C The next term (a(5)) has 703 digits. - _Harvey P. Dale_, Sep 04 2018

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

%t Select[Table[3*k^k+1,{k,500}],PrimeQ] (* _Harvey P. Dale_, Sep 04 2018 *)

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

%Y Cf. A160600.

%K nonn

%O 1,1

%A _Seiichi Manyama_, Mar 25 2018