A086522 Primes arising as the arithmetic mean of a pair of successive terms of A086519.

5, 13, 31, 37, 67, 127, 109, 73, 103, 163, 181, 151, 181, 277, 271, 241, 277, 331, 373, 337, 373, 463, 547, 577, 523, 571, 607, 547, 571, 541, 547, 661, 709, 733, 811, 853, 787, 769, 823, 883, 859, 937, 991, 1021, 1087, 1009, 1069, 1129, 1039, 1231, 1381

Offset: 1

Author

Amarnath Murthy, Jul 30 2003

Keywords

• nonn

Comments

Second term onwards every prime == 1 (mod 6).

Conjecture: every prime of the type 6k+1 is a member. Comment from Vim Wenders, May 27 2008: The conjecture is worng. For example 19 is missing..

Crossrefs

Cf. A086519.

Formula

a(n) = (A086519(n)+A086519(n+1))/2. - David Wasserman, Mar 11 2005

Extensions

Corrected and extended by David Wasserman, Mar 11 2005