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A163429
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Primes p such that ((p+1)/2)^3+((p-1)/2)^2 is also prime.
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2
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5, 7, 11, 13, 29, 41, 53, 71, 73, 79, 97, 101, 131, 149, 179, 181, 193, 211, 227, 229, 239, 241, 269, 271, 293, 311, 313, 317, 337, 373, 401, 443, 461, 463, 503, 541, 569, 599, 601, 659, 673, 691, 769, 773, 809, 839, 857, 859, 863, 911, 919, 929, 971, 1009, 1019
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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EXAMPLE
| ((5+1)/2)^3+((5-1)/2)^2=27+4=31, ((7+1)/2)^3+((7-1)/2)^2=64+9=73,..
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MATHEMATICA
| f[n_]:=((p+1)/2)^3+((p-1)/2)^2; lst={}; Do[p=Prime[n]; If[PrimeQ[f[p]], AppendTo[lst, p]], {n, 6!}]; lst
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CROSSREFS
| Cf. A168297, A163428, A163424.
Sequence in context: A135774 A180946 A135930 * A136055 A181494 A073340
Adjacent sequences: A163426 A163427 A163428 * A163430 A163431 A163432
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KEYWORD
| nonn,easy
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AUTHOR
| Vladimir Orlovsky (4vladimir(AT)gmail.com), Jul 27 2009
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