1,1

Discriminant = -288. See A107132 for more information.

Also primes of the form 9x^2 + 6xy + 17y^2. See A140633. - T. D. Noe, May 19 2008

All terms are of the form x^2 + y^2, see A002144. - Zak Seidov, Jan 26 2014

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)

The primes are congruent to 17 (mod 24). - T. D. Noe, May 02 2008 [This is a necessary and sufficient condition since the discriminant -288 is a term in A003171 (i.e., there is 1 class of binary quadratic forms per genus for discriminant -288), so the primes represented by any binary quadratic form are determined by a congruence condition. - Jianing Song, Jan 06 2026]

a(n) = 24*A139531(n) + 17. - Hugo Pfoertner, Jan 06 2026

QuadPrimes2[8, 0, 9, 10000] (* see A106856 *)

(Magma) [ p: p in PrimesUpTo(5000) | p mod 24 eq 17 ]; // Vincenzo Librandi, Apr 19 2011

(PARI) list(lim)=my(v=List()); forprime(p=17, lim, if(p%24==17, listput(v, p))); Vec(v) \\ Charles R Greathouse IV, Feb 10 2017

Primes congruent to ... mod 24: A107008 (1), A107003 (5), A107006 (7), A107007 (11), A139530 (13), this sequence (17), A141373 (19), A134517 (23).

Subsequence of A002144 (Pythagorean primes).

Cf. A139531, A139827.

Sequence in context: A235743 A299797 A087877 * A158014 A139879 A281792

Adjacent sequences: A107178 A107179 A107180 * A107182 A107183 A107184

nonn,easy

T. D. Noe, May 13 2005

approved