A140630 Primes of the form 88x^2+32xy+127y^2.

127, 823, 1303, 1327, 1663, 3823, 3847, 3943, 4447, 4663, 4783, 5503, 6007, 6343, 6367, 6967, 7687, 8527, 8863, 10663, 10903, 11047, 11743, 12583, 13183, 14407, 14767, 15583, 16927, 17047, 18223, 19447, 20407, 20983, 23143, 23167, 23767

Offset

1,1

Comments

Discriminant=-43680. Also primes of the form 127x^2+4xy+172y^2.

In base 12, the sequence is X7, 587, 907, 927, E67, 2267, 2287, 2347, 26X7, 2847, 2927, 3227, 3587, 3807, 3827, 4047, 4547, 4E27, 5167, 6207, 6387, 6487, 6967, 7347, 7767, 8407, 8667, 9027, 9967, 9X47, X667, E307, E987, 10187, 11487, 114X7, 11907, where X is 10 and E is 11. Moreover, the discriminant is -21340. - Walter Kehowski, Jun 01 2008

Links

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)

Mathematica

Union[QuadPrimes2[88, 32, 127, 10000], QuadPrimes2[88, -32, 127, 10000]] (* see A106856 *)

Crossrefs

Cf. A140633.

Sequence in context: A049202 A204737 A060201 * A183829 A168487 A299057

Adjacent sequences: A140627 A140628 A140629 * A140631 A140632 A140633

Keyword

nonn,easy

Author

T. D. Noe, May 19 2008

Status

approved