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%I #24 Jun 30 2024 11:13:26
%S 11,37,823553,387420499,
%T 112595147462071192539789448988889059930192105219196517009951969
%N Primes of the form k^k + 10.
%e 1^1 + 10 = 11, which is prime, so 11 is in the sequence.
%e 3^3 + 10 = 27 + 10 = 37, which is also prime, so 37 is also in the sequence.
%e 5^5 + 10 = 3125 + 10 = 3135 = 3 * 5 * 11 * 19, so 3135 is not in the sequence.
%t Select[Table[n^n + 10, {n, 100}], PrimeQ] (* _Alonso del Arte_, Aug 05 2019 *)
%o (PARI) f1(n) = for(x=1,n,y=x^x+10;if(ispseudoprime(y),print1(y", ")))
%Y Cf. A100839 (corresponding k).
%K nonn,hard
%O 1,1
%A _Cino Hilliard_, Jan 07 2005
%E Corrected by _T. D. Noe_, Nov 15 2006