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Search: id:A163429
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| A163429 |
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Primes p such that ((p+1)/2)^3+((p-1)/2)^2 are prime numbers. |
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3
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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; listen)
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OFFSET
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1,1
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COMMENT
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((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
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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
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Cf. A162652, A163418, A163419, A163420, A163421, A163422, A163424, A163425, A163426, A163427, A163428
Sequence in context: A135774 A155053 A135930 this_sequence A136055 A073340 A125293
Adjacent sequences: A163426 A163427 A163428 this_sequence A163430 A163431 A163432
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KEYWORD
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nonn,uned
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AUTHOR
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Vladimir Orlovsky (4vladimir(AT)gmail.com), Jul 27 2009
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