A126240 Primes p such that p = prime(n+3)=(prime(n+6)+prime(n))/2.

11, 29, 31, 41, 71, 211, 251, 349, 439, 461, 751, 1031, 1051, 1289, 1291, 1609, 1667, 1723, 2113, 2417, 2423, 2503, 2579, 2711, 2903, 3079, 3919, 3967, 4153, 4271, 4591, 4759, 4951, 5051, 5399, 5693, 6173, 6361, 6451, 6691, 6733, 7229, 7541, 7559, 7793

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, A126238-A126243.

Programs

Mathematica

Do[If[(Prime[n + 6] + Prime[n])/2 == Prime[n + 3], Print[Prime[n + 3]]], {n, 1, 3000}]
Transpose[Select[Partition[Prime[Range[4000]],7,1],(First[#]+Last[#])/2==#[[4]]&]][[4]] (* Harvey P. Dale, Feb 16 2014 *)

Extensions

Extended by Ray Chandler, Dec 27 2006