A163421 - OEIS

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A163421

Primes of the form ((p-1)/2)^3+((p+1)/2), p are prime numbers.

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

1,1

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,..

LINKS

J. Mulder, Table of n, a(n) for n = 1..10000

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

CROSSREFS

Cf. A162652, A163418, A163419, A163420

Sequence in context: A146581 A146456 A095692 * A173381 A076477 A319335

Adjacent sequences: A163418 A163419 A163420 * A163422 A163423 A163424

KEYWORD

nonn,easy

AUTHOR

Vladimir Joseph Stephan Orlovsky, Jul 27 2009

EXTENSIONS

Comment from Charles R Greathouse IV Aug 11 2009

STATUS

approved