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A079329 Let g(n)=A006512(n) be the larger member of the n-th pair of twin primes. Then a(n) is the average of g(n) and g(n+1). +0
2
6, 10, 16, 25, 37, 52, 67, 88, 106, 124, 145, 166, 187, 196, 214, 235, 256, 277, 298, 331, 385, 427, 448, 493, 547, 586, 610, 631, 652, 736, 817, 826, 844, 871, 952, 1027, 1042, 1057, 1078, 1123, 1192, 1255, 1285, 1297, 1312, 1375, 1441, 1468, 1486, 1549 (list; graph; listen)
OFFSET

1,1

LINKS

Eric Weisstein's World of Mathematics, Twin Primes

FORMULA

a(n)=Sum_{x=nth greater of twin primes..(n+1)th greater of twin primes}-(-1)^x*x - Juri-Stepan Gerasimov, Jul 14 2009

MATHEMATICA

s=Select[Range[2000], PrimeQ[ # ]&&PrimeQ[ #-2]&]; (Drop[s, 1]+Drop[s, -1])/2

CROSSREFS

Cf. A006512, A079328.

Sequence in context: A146951 A129844 A114975 this_sequence A020741 A090991 A019533

Adjacent sequences: A079326 A079327 A079328 this_sequence A079330 A079331 A079332

KEYWORD

nonn

AUTHOR

Vincenzo Origlio (vincenzo.origlio(AT)itc.cnr.it), Feb 13 2003

EXTENSIONS

Edited by Dean Hickerson (dean.hickerson(AT)yahoo.com), Feb 14 2003

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Last modified December 1 19:22 EST 2009. Contains 167811 sequences.


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