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A095672 Primes p = p_(n+1) such that p_n + p_(n+2) = 2*p_(n+1) + 4. +0
8
31, 61, 73, 151, 271, 293, 337, 401, 433, 491, 547, 571, 577, 601, 743, 761, 839, 911, 1033, 1039, 1063, 1201, 1231, 1291, 1321, 1409, 1453, 1531, 1571, 1621, 1627, 2003, 2017, 2039, 2131, 2243, 2273, 2341, 2383, 2551, 2663, 2713, 2719, 2791, 3041, 3049 (list; graph; listen)
OFFSET

1,1

COMMENT

Primes that are first prime chords.

These come from music based on the prime differences where the chords are an even number of note steps from the primary note.

EXAMPLE

31 is a term because 29+37 = 2*31 + 4 = 66.

MATHEMATICA

m = 1; Prime[1 + Select[ Range[450], Prime[ # + 2] - 2*Prime[ # + 1] + Prime[ # ] - 4*m == 0 &]] (from Robert G. Wilson v Jul 14 2004)

CROSSREFS

Cf. A095419, A095420, A095648, A095649, A095650, A095651, A095673.

Sequence in context: A063339 A115833 A052158 this_sequence A073650 A078562 A054804

Adjacent sequences: A095669 A095670 A095671 this_sequence A095673 A095674 A095675

KEYWORD

nonn

AUTHOR

Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Jul 02 2004

EXTENSIONS

Edited by Robert G. Wilson v (rgwv(AT)rgwv.com), Jul 14 2004

Description corrected by N. J. A. Sloane (njas(AT)research.att.com), Jul 19 2004.

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Last modified December 20 16:54 EST 2009. Contains 171081 sequences.


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