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Search: id:A162307
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| A162307 |
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Primes of the form k*(k+2)/3-2, k>0. |
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+0
1
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| 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; listen)
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OFFSET
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1,1
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COMMENT
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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....
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EXAMPLE
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k=3 contributes because 3*(3+2)/3-2=3=a(1) is prime.
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MATHEMATICA
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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
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CROSSREFS
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Sequence in context: A102978 A107165 A066811 this_sequence A128069 A056246 A061427
Adjacent sequences: A162304 A162305 A162306 this_sequence A162308 A162309 A162310
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KEYWORD
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nonn
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AUTHOR
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Vladimir Orlovsky (4vladimir(AT)gmail.com), Jun 30 2009
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EXTENSIONS
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Definition simplified by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 02 2009
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