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

Offset: 1

Author

Vladimir Joseph Stephan Orlovsky, Jul 27 2009

Keywords

• nonn
• easy
• changed

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

Crossrefs

Cf. A162652, A163418, A163419, A163420.

Programs

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

Extensions

Comment from Charles R Greathouse IV, Aug 11 2009