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A162307 Primes of the form k*(k+2)/3-2, k>0. 0
3, 19, 31, 83, 131, 223, 383, 479, 643, 1279, 1823, 2131, 2239, 2579, 2819, 3331, 4483, 4639, 6163, 6719, 7103, 7699, 8963, 9631, 9859, 10559, 11779, 13331, 14143, 14419, 15263, 17939, 19843, 21503, 22531, 24659, 25759, 28031, 29599, 30803, 35423 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

Or: primes of the form k*(k+1)*(k+2)/(k+(k+1)+(k+2))-2.

Generated by k=3, 7, 9, 15, 19, 25, 33, 37, 43....

EXAMPLE

k=3 contributes because 3*(3+2)/3-2=3=a(1) is prime.

MATHEMATICA

f[n_]:=(n*(n+1)*(n+2))/(n+(n+1)+(n+2))-2; lst={}; Do[p=f[n]; If[PrimeQ[p], AppendTo[lst, p]], {n, 6!}]; lst

CROSSREFS

Sequence in context: A102978 A107165 A066811 * A128069 A056246 A061427

Adjacent sequences:  A162304 A162305 A162306 * A162308 A162309 A162310

KEYWORD

nonn

AUTHOR

Vladimir Orlovsky (4vladimir(AT)gmail.com), Jun 30 2009

EXTENSIONS

Definition simplified by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 02 2009

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Last modified February 14 23:53 EST 2012. Contains 205689 sequences.