A121825 Duplicate of A049423.

3, 7, 19, 67, 103, 199, 487, 787, 1447, 2503, 2707, 3847, 4099, 4903, 5479, 5779, 8467, 8839, 11239, 12547, 14887, 16903, 17959, 19603, 21319, 23719, 24967, 25603, 29587, 31687, 47527, 52903, 58567, 59539, 61507, 65539, 75079, 81799, 88807, 92419

Offset: 1

Author

Jonathan Vos Post, Aug 27 2006

Keywords

• dead

Comments

See also A121326 (Primes of the form 4*k^2 + 1); see also A049423 (Primes of the form k^2 + 3). For the primes of the form 4*k^2 + 3, the corresponding values of k are 1, 2, 4, 5, 7, 11, 14, 19, 25, 26, 31, 32, 35, 37, 38, 46, 47, 53, 56, 61, 65, 67, 70, 73.

Crossrefs

Cf. A000040, A002496, A049423, A121326.

Programs

Magma

[ a: n in [0..200] | IsPrime(a) where a is 4*n^2+3 ]; // Vincenzo Librandi, Dec 22 2010

Formula

a(n) = 3 + (2*A097697(n))^2. - R. J. Mathar, Aug 07 2008

Extensions

Terms after 21319 added by R. J. Mathar, Aug 07 2008

3 added by Vincenzo Librandi, Dec 22 2010