1,1

Discriminant=-96.

Except for 3, also primes of the forms 8*x^2+8*x*y+11*y^2 and 11*x^2+6*x*y+27*y^2. See A140633. - T. D. Noe, May 19 2008

Except for the first member, 3, all the members seem to be terms of A123239 which are prime in both k(i) and k(rho). - A.K. Devaraj, Nov 24 2009

Vincenzo Librandi and Ray Chandler, Table of n, a(n) for n = 1..10000 [First 1000 terms from Vincenzo Librandi]

N. J. A. Sloane et al., Binary Quadratic Forms and OEIS (Index to related sequences, programs, references)

Except for 3, the terms are congruent to 11 (mod 24). - T. D. Noe, May 02 2008 [This is a necessary and sufficient condition since the discriminant -96 is a term in A003171 (i.e., there is 1 class of binary quadratic forms per genus for discriminant -96), so the primes represented by any binary quadratic form are determined by a congruence condition. - Jianing Song, Jan 06 2026]

a(n) = 24*A139528(n-1) + 11 for n>1. - Hugo Pfoertner, Jan 06 2026

QuadPrimes2[3, 0, 8, 10000] (* see A106856 *)

(Magma) [3] cat[ p: p in PrimesUpTo(3000) | p mod 24 in {11} ]; // Vincenzo Librandi, Jul 23 2012

Primes congruent to ... mod 24: A107008 (1), A107003 (5), A107006 (7), this sequence (11), A139530 (13), A107181 (17), A141373 (19), A134517 (23).

Cf. A139528, A139827.

Sequence in context: A308487 A164291 A137690 * A199854 A242384 A225809

Adjacent sequences: A107004 A107005 A107006 * A107008 A107009 A107010

nonn,easy

T. D. Noe, May 09 2005

approved