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A086522 Primes arising as the arithmetic mean of a pair of successive terms of A086519. 3
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 (list; graph; refs; listen; history; text; internal format)
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: A224888 A256314 A002768 * 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

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Last modified July 27 23:16 EDT 2021. Contains 346316 sequences. (Running on oeis4.)