%I

%S 2,3,2405,460663,198133379411,281952316704253

%N a(n)= [p(n)^n] - k!, where p(n) is n-th prime number, k is greatest number for which k! <= p(n)^n.

%e a(5)= p(5)^5 - 6! = 3125-720 = 2405

%Y Cf. A136437, A000040, A000142.

%K easy,nonn

%O 1,1

%A _Ctibor O. Zizka_, Apr 06 2008