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A163421
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Primes of the form ((p-1)/2)^3+((p+1)/2), p are prime numbers.
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10
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3, 11, 31, 131, 223, 521, 739, 3391, 5851, 9283, 24419, 27031, 59359, 68963, 85229, 110641, 148931, 157519, 175673, 328579, 405299, 571871, 857471, 1561013, 1728121, 2248223, 2460511, 3112283, 3581731, 3724031, 4741801, 5735519
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Subsequence of A095692.
((3-1)/2)^3+((3+1)/2)=1+2=3, ((5-1)/2)^3+((5+1)/2)=8+3=11, ((7-1)/2)^3+((7+1)/2)=27+4=31,..
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LINKS
| J. Mulder, Table of n, a(n) for n = 1..10000
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MATHEMATICA
| f[n_]:=((p-1)/2)^3+((p+1)/2); lst={}; Do[p=Prime[n]; If[PrimeQ[f[p]], AppendTo[lst, f[p]]], {n, 6!}]; lst
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CROSSREFS
| Cf. A162652, A163418, A163419, A163420
Sequence in context: A146581 A146456 A095692 * A173381 A076477 A104079
Adjacent sequences: A163418 A163419 A163420 * A163422 A163423 A163424
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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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EXTENSIONS
| Comment from Charles R Greathouse IV Aug 11 2009
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