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A165280 If p and q are twin primes then pq+1 is always divisible by 3, except for (p,q)=(3,5). Sequence gives values of (pq+1)/3. +0
1
12, 48, 108, 300, 588, 1200, 1728, 3468, 3888, 6348, 7500, 10800, 12288, 13068, 17328, 19200, 24300, 26508, 32448, 40368, 58800, 62208, 71148, 90828, 108300, 120000, 127308, 137388, 145200, 218700, 225228, 228528, 245388, 259308, 346800 (list; graph; listen)
OFFSET

1,1

FORMULA

(A001359(n+1)*A006512(n+1)+1)/3 = (A037074(n+1)+1)/3 = A075369(n+1)/3. [From Robert G. Wilson v (rgwv(AT)rgwv.com), Sep 13 2009]

MATHEMATICA

p = Rest@ Select[ Prime@ Range@ 175, PrimeQ[ # + 2] & ]; (p (p + 2) + 1)/3 [From Robert G. Wilson v (rgwv(AT)rgwv.com), Sep 13 2009]

CROSSREFS

Sequence in context: A044495 A009958 A135453 this_sequence A006564 A059162 A117027

Adjacent sequences: A165277 A165278 A165279 this_sequence A165281 A165282 A165283

KEYWORD

nonn

AUTHOR

Tanin (Mirza Sabbir Hossain Beg) (mirzasabbirhossainbeg(AT)yahoo.com), Sep 13 2009

EXTENSIONS

More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Sep 13 2009

Edited by N. J. A. Sloane, Sep 15 2009

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Last modified December 4 08:07 EST 2009. Contains 170310 sequences.


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