%I #16 Aug 24 2024 11:44:15
%S 1,2,14,22,120
%N Numbers k such that k^(k+1)*(k+1)^k + 1 is prime.
%C a(6) > 10^3.
%C Numbers k such that A051443(k)+1 is prime. - _Michel Marcus_, Oct 08 2019
%C a(6) > 10^4, if it exists. - _Michael S. Branicky_, Aug 24 2024
%t Select[Range[120], PrimeQ[#^(# + 1)*(# + 1)^# + 1] &] (* _Amiram Eldar_, Oct 08 2019 *)
%o (Magma) [n: n in [1..500] | IsPrime(n^(n+1)*(n+1)^n+1)];
%Y Cf. A000040, A051443.
%K nonn,more
%O 1,2
%A _Juri-Stepan Gerasimov_, Oct 08 2019