A126238 Primes of the form p = prime(k) = (prime(k+3)+prime(k-1))/2.

1009, 2789, 4001, 4931, 5431, 5501, 5519, 5839, 6029, 6521, 7103, 7817, 8081, 8147, 8353, 10091, 17011, 18251, 18301, 19751, 21139, 22769, 25013, 25339, 25931, 26681, 27271, 27397, 27791, 28429, 28619, 33149, 33739, 35491, 35521, 36451, 36779

Offset: 1

Author

Artur Jasinski, Dec 21 2006

Keywords

• nonn

Links

• Harvey P. Dale, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A006562, A119381, A126239-A126243.

Programs

Mathematica

Prime@Select[Range[2, 4000], 2Prime[ # ] == Prime[ # - 1] + Prime[ # + 3] &] (* Ray Chandler, Dec 27 2006 *)
Transpose[Select[Partition[Prime[Range[4000]],5,1],2#[[2]]==#[[5]]+#[[1]]&]][[2]] (* Harvey P. Dale, Jan 23 2013 *)

Extensions

Edited and extended by Ray Chandler, Dec 27 2006