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A119381 Primes p(n) for which (p(n-1) + p(n+2)) / p(n) = 2. +0
7
37, 67, 277, 479, 613, 631, 809, 1297, 1471, 1607, 1663, 1721, 1783, 1867, 1901, 1931, 1993, 2137, 2377, 2411, 2521, 2683, 2797, 2879, 3359, 3571, 3917, 4391, 4513, 4621, 5413, 5437, 5477, 5647, 6299, 7321, 7393, 7873, 7901, 8087, 8819, 9007, 10301 (list; graph; listen)
OFFSET

1,1

FORMULA

a(n) = Prime(A119382(n)), where Prime(n) is the n-th prime. - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Jul 26 2006

EXAMPLE

In the ordered set of primes we have ...271,277,281,283... and (271+283)/277 = 2, therefore 277 belongs in this sequence.

MATHEMATICA

Prime[Select[Range[2, 1500], (Prime[ # - 1] + Prime[ # + 2])/(Prime[ # ]) == 2 &]] - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Jul 26 2006

CROSSREFS

Cf. A119382.

Cf. A119382.

Sequence in context: A141163 A063461 A105462 this_sequence A138396 A044103 A044484

Adjacent sequences: A119378 A119379 A119380 this_sequence A119382 A119383 A119384

KEYWORD

easy,nonn

AUTHOR

Axel Harvey (ax(AT)hirsig.ca), Jul 25 2006

EXTENSIONS

More terms from Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Jul 26 2006

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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