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A163422
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Primes p such that A071568((p-1)/2) are also prime numbers.
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7
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3, 5, 7, 11, 13, 17, 19, 31, 37, 43, 59, 61, 79, 83, 89, 97, 107, 109, 113, 139, 149, 167, 191, 233, 241, 263, 271, 293, 307, 311, 337, 359, 373, 383, 439, 443, 479, 487, 491, 523, 557, 617, 641, 647, 659, 673, 683, 701, 733, 757, 811, 829, 853, 857, 859, 877
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Primes p such that (p-1)^3/8+(p+1)/2 are also prime numbers, i.e., in A095692.
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EXAMPLE
| p=3 is in the sequence because (3-1)^3/8+(3+1)/2=3 is prime.
p=5 is in the sequence because (5-1)^3/8+(5+1)/2=11 is prime.
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MATHEMATICA
| f[n_]:=((n-1)/2)^3+((n+1)/2); lst={}; Do[p=Prime[n]; If[PrimeQ[f[p]], AppendTo[lst, p]], {n, 6!}]; lst
Select[Prime[Range[180]], PrimeQ[(#-1)^3/8+(#+1)/2]&] (* From Harvey P. Dale, Jan 05 2011 *)
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CROSSREFS
| Cf. A162652, A163418, A163419, A163420, A163421.
Sequence in context: A038604 A155026 A081092 * A155055 A030096 A045394
Adjacent sequences: A163419 A163420 A163421 * A163423 A163424 A163425
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KEYWORD
| nonn
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AUTHOR
| Vladimir Orlovsky (4vladimir(AT)gmail.com), Jul 27 2009
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EXTENSIONS
| Definition rewritten by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 17 2009
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