login
n-th prime p(k) such that p(k) + p(k+5) = p(k+1) + p(k+4).
2

%I #7 Aug 06 2015 05:11:45

%S 5,7,19,31,41,97,103,131,151,179,193,197,233,251,277,281,293,331,503,

%T 563,587,599,641,653,683,719,727,809,811,823,827,839,853,857,859,877,

%U 907,937,941,947,1013,1061,1097,1163,1187,1279,1433,1451

%N n-th prime p(k) such that p(k) + p(k+5) = p(k+1) + p(k+4).

%H R. J. Mathar, <a href="/A022889/b022889.txt">Table of n, a(n) for n = 1..501</a>

%t Transpose[Select[Partition[Prime[Range[500]],6,1],#[[6]]+#[[1]] == #[[5]]+#[[2]]&]][[1]] (* _Harvey P. Dale_, Jul 13 2012 *)

%K nonn

%O 1,1

%A _Clark Kimberling_