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A139313 Primes prime(n) such that -prime(n-1)+3prime(n)-3prime(n+1)-prime(n+2)=0. +0
1
19, 37, 43, 67, 83, 229, 257, 277, 349, 353, 383, 443, 479, 571, 613, 643, 677, 683, 719, 751, 1033, 1093, 1279, 1297, 1429, 1433, 1489, 1553, 1609, 1621, 1663, 1733, 1747, 1783, 1867, 1987, 1993, 2053, 2137, 2207, 2377, 2467, 2503, 2579, 2683, 2689, 2693 (list; graph; listen)
OFFSET

1,1

COMMENT

If A006562 is when -Prime[ -1 + n] + 2 Prime[n] - Prime[1 + n] = 0; then this "Integer differential" is the next higher order.

FORMULA

a(n)=A000040(1+A064149(n)). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jun 10 2008

MATHEMATICA

Flatten[Table[If[ -Prime[ -1 +n] + 3*Prime[n] - 3*Prime[1 + n] + Prime[n + 2] == 0, Prime[n], {}], {n, 2, 500}]]

CROSSREFS

Cf. A006562.

Sequence in context: A146454 A059695 A134196 this_sequence A109639 A161705 A131600

Adjacent sequences: A139310 A139311 A139312 this_sequence A139314 A139315 A139316

KEYWORD

nonn

AUTHOR

Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Jun 07 2008

EXTENSIONS

Edited by N. J. A. Sloane (njas(AT)research.att.com), Jul 01 2008

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Last modified December 8 08:31 EST 2009. Contains 170430 sequences.


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