Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #18 Sep 13 2024 15:57:54
%S 2,17,65537
%N Primes p of the form k^(2*k) + 1.
%C Prime terms from A167436.
%C Also primes p of the form (k^2)^k + 1.
%C Corresponding values of k: 1, 2, 4, ...; if a(4) exists, k must be larger than 1024.
%e 65537 = 4^8 + 1 = 16^4 + 1.
%t Select[Table[n^(2n)+1,{n,20}],PrimeQ] (* _Harvey P. Dale_, Apr 01 2021 *)
%o (Magma) [n^(2*n) + 1: n in [1..700] | IsPrime(n^(2*n) + 1)];
%Y Cf. A121270 (primes of the form k^k + 1), A167436 (n^(2*n) + 1).
%K nonn,bref,hard
%O 1,1
%A _Jaroslav Krizek_, Mar 06 2016