1,1

Discriminant=-96.

Also, primes of the form 24n+7. - Artur Jasinski, Nov 25 2007 [See the Reble link]

Also primes of the forms 4x^2+4xy+7y^2, 7x^2+6xy+15y^2, 7x^2+2xy+7y^2 and 7x^2+4xy+28y^2. See A140633. - T. D. Noe, May 19 2008

Also, primes of form u^2+6v^2 with odd v while sequence A107008 is even v. This can be seen by expressing its form as (2x-y)^2+6y^2 (where y can only be odd) while the latter is x^2+6(2y)^2. Additionally, this sequence is 7 mod 24 while the second is 1 mod 24 and together, they are the primes of form x^2+6y^2 (A033199) which are either {1,7} mod 24. - Tito Piezas III, Jan 01 2009

Vincenzo Librandi, N. J. A. Sloane and Ray Chandler, Table of n, a(n) for n = 1..10000 [First 1000 terms from Vincenzo Librandi, next 168 terms from N. J. A. Sloane]

Don Reble, Notes on this sequence

J. Liouville, Théorème concernant les nombres premiers de la forme 24µ + 7, Journal de mathématiques pures et appliquées 2e série, tome 4 (1859), pp. 399-400.

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

a(n) = 24*A139483(n) + 7. - Hugo Pfoertner, Jan 06 2026

a = {}; Do[If[PrimeQ[24n + 7], AppendTo[a, 24n + 7]], {n, 0, 100}]; a (* Artur Jasinski, Nov 25 2007 *)

QuadPrimes2[4, -4, 7, 10000] (* see A106856 *)

Select[24*Range[0, 4000]+7, PrimeQ] (* Harvey P. Dale, May 13 2018 *)

Primes congruent to ... mod 24: A107008 (1), A107003 (5), this sequence (7), A107007 (11), A139530 (13), A107181 (17), A141373 (19), A134517 (23).

Cf. A124477, A139483.

Sequence in context: A033199 A304163 A003550 * A107005 A201477 A164621

Adjacent sequences: A107003 A107004 A107005 * A107007 A107008 A107009

nonn,easy

T. D. Noe, May 09 2005

Recomputed b-file and deleted erroneous Mma program by N. J. A. Sloane, Jun 08 2014

approved