A199365 Primes of the form 4n^3 + 3.

3, 7, 503, 4003, 10979, 32003, 87811, 157219, 219491, 470599, 665503, 821519, 907927, 2048003, 3764771, 4370911, 6572131, 9410551, 12194503, 12448547, 14609059, 16384003, 25326503, 30118147, 34967267, 44957699, 48035959, 55990087, 58824503, 62500003, 63253007, 131072003

Offset: 1

Author

N. J. A. Sloane, Nov 05 2011

Keywords

• nonn

Comments

See comment in A199307.

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..3100

Crossrefs

Cf. A199307, A199364.

Programs

Magma

[a: n in [0..300] | IsPrime(a) where a is 4*n^3+3]; // Vincenzo Librandi, Nov 27 2011

Mathematica

Select[Table[4n^3+3,{n,0,6000}],PrimeQ] (* Vincenzo Librandi, Nov 27 2011 *)

Formula

a(n) = 4*A199364(n)^3 + 3.

Extensions

First term inserted by Vincenzo Librandi, Nov 27 2011