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A086522 Primes arising as the arithmetic mean of a pair of successive terms of A086519. +0
4
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; listen)
OFFSET

1,1

COMMENT

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

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

FORMULA

a(n) = (A086519(n)+A086519(n+1))/2. - David Wasserman (wasserma(AT)spawar.navy.mil), Mar 11 2005

CROSSREFS

Cf. A086519.

Sequence in context: A147492 A085555 A002768 this_sequence A102725 A106985 A023261

Adjacent sequences: A086519 A086520 A086521 this_sequence A086523 A086524 A086525

KEYWORD

nonn

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Jul 30 2003

EXTENSIONS

Corrected and extended by David Wasserman (wasserma(AT)spawar.navy.mil), Mar 11 2005

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Last modified December 18 21:37 EST 2009. Contains 171024 sequences.


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