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Numbers k such that p(k) + p(k+1) + p(k+2) = A122706(n)^n, where p(k) is a k-th prime.
1

%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