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%I #20 Sep 08 2022 08:45:25
%S 2,3,37,285311670733,
%T 1102507499354148695951786433413508348166942596435548101,
%U 3877924263464448622666648186154330754898344901344205917642325627886496385065073
%N Primes of the form k^k + k^2 + 1.
%C The values of k such that k^k + k^2 + 1 is prime are 1, 3, 11, 35, 47, ...
%C 0^0 + 0^2 + 1 = 2. - _Vincenzo Librandi_, Dec 22 2010
%C The next term has 176 digits. - _Harvey P. Dale_, Feb 07 2018
%e a(3) = 11^11 + 11^2 + 1 = 285311670733 is prime.
%t Join[{2},Select[Table[n^n+n^2+1,{n,50}],PrimeQ]] (* _Harvey P. Dale_, Feb 07 2018 *)
%o (Magma) [a: n in [0..250]|IsPrime(a) where a is n^n+n^2+1] // _Vincenzo Librandi_, Dec 22 2010
%Y Cf. A000040, A000312, A120479, A120480, A119264.
%K nonn
%O 1,1
%A _Jonathan Vos Post_, Jul 26 2006
%E 2 added by _Vincenzo Librandi_, Dec 22 2010
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