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

1,1

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..

Links

Table of n, a(n) for n=1..51.

Formula

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

Crossrefs

Cf. A086519.

Sequence in context: A256314 A002768 A354292 * A234372 A102725 A271997

Adjacent sequences: A086519 A086520 A086521 * A086523 A086524 A086525

Keyword

nonn

Author

Amarnath Murthy, Jul 30 2003

Extensions

Corrected and extended by David Wasserman, Mar 11 2005

Status

approved