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n-th prime p(k) such that p(k) + p(k+9) = p(k+3) + p(k+6).
1

%I #9 May 10 2019 15:32:30

%S 13,17,23,31,41,137,139,149,151,337,349,353,383,419,499,541,557,563,

%T 859,941,1097,1319,1609,1753,1787,1979,2339,2357,2389,2459,2557,2659,

%U 2677,2729,2857,2861,3019,3163,3167,3203,3511,3547,3613,3617

%N n-th prime p(k) such that p(k) + p(k+9) = p(k+3) + p(k+6).

%H R. J. Mathar, <a href="/A022893/b022893.txt">Table of n, a(n) for n = 1..501</a>

%F a(n) = A000040(A022892(n)). - _R. J. Mathar_, Aug 06 2015

%t Prime[#]&/@Select[Range[600],Prime[#]+Prime[#+9]==Prime[#+3]+Prime[#+6]&] (* _Harvey P. Dale_, May 10 2019 *)

%K nonn

%O 1,1

%A _Clark Kimberling_