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Search: id:A163424
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| A163424 |
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Primes of the form ((p-1)/2)^3+((p+1)/2)^2, p are prime numbers. |
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+0
8
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| 5, 17, 43, 593, 829, 2969, 3631, 12743, 27961, 44171, 60919, 127601, 278981, 578843, 737281, 950993, 980299, 1455893, 1969001, 2424329, 2763881, 3605293, 5767739, 7801993, 9305521, 11290049, 12220361, 12704093, 16452089, 22987529, 35720189
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OFFSET
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1,1
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COMMENT
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Subsequence of A100662.
((3-1)/2)^3+((3+1)/2)^2=1+4=5, ((5-1)/2)^3+((5+1)/2)^2=8+9=17, ((7-1)/2)^3+((7+1)/2)^2=27+16=43,..
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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, f[p]]], {n, 7!}]; lst
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CROSSREFS
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Cf. A162652, A163418, A163419, A163420, A163421, A163422
Sequence in context: A146778 A146858 A146183 this_sequence A099451 A133252 A048612
Adjacent sequences: A163421 A163422 A163423 this_sequence A163425 A163426 A163427
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KEYWORD
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nonn,easy
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AUTHOR
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Vladimir Orlovsky (4vladimir(AT)gmail.com), Jul 27 2009
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EXTENSIONS
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Comment by Charles R Greathouse IV Aug 11 2009
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