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Search: id:A163421
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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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+0
11
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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
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OFFSET
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1,1
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COMMENT
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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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MATHEMATICA
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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
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Cf. A162652, A163418, A163419, A163420
Sequence in context: A146581 A146456 A095692 this_sequence A076477 A104079 A089620
Adjacent sequences: A163418 A163419 A163420 this_sequence A163422 A163423 A163424
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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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