%I #6 Mar 31 2012 13:20:40
%S 3,6,85,20877,52086501,10988577
%N Numbers k such that p(k) + p(k+1) + p(k+2) = A122706(n)^n, where p(k) is a k-th prime.
%e a(1) = 3 because p(3) + p(4) + p(5) = 5 + 7 + 11 = 23 = A122706(1)^1.
%e a(2) = 6 because p(6) + p(7) + p(8) = 13 + 17 + 19 = 49 = 7^2 = A122706(2)^2.
%Y Cf. A122706
%K more,nonn
%O 1,1
%A _Alexander Adamchuk_, Feb 24 2009
%E a(5)-a(6) from _Max Alekseyev_, Dec 13 2011