A140627 Primes of the form 33x^2+24xy+88y^2.

97, 313, 337, 433, 457, 937, 1033, 1753, 1873, 1993, 2113, 2137, 2593, 2713, 2857, 3217, 3457, 3697, 3793, 4177, 4297, 4513, 4657, 5113, 5737, 5857, 5953, 6217, 6553, 6577, 7057, 7393, 7417, 7873, 8233, 8377, 8713, 8737, 9337, 9697, 9817

Offset

1,1

Comments

Discriminant=-11040. Also primes of the form 57x^2+6xy+97y^2.

In base 12, the sequence is 81, 221, 241, 301, 321, 661, 721, 1021, 1101, 11X1, 1281, 12X1, 1601, 16X1, 17X1, 1X41, 2001, 2181, 2241, 2501, 25X1, 2741, 2841, 2E61, 33X1, 3481, 3541, 3721, 3961, 3981, 4101, 4341, 4361, 4681, 4921, 4X21, 5061, 5081, 54X1, 5741, 5821, where X is 10 and E is 11. Moreover, the discriminant is -6480. - 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[33, 24, 88, 10000], QuadPrimes2[33, -24, 88, 10000]] (* see A106856 *)

Crossrefs

Cf. A140633.

Sequence in context: A142455 A159507 A141899 * A142631 A087861 A269786

Adjacent sequences: A140624 A140625 A140626 * A140628 A140629 A140630

Keyword

nonn,easy

Author

T. D. Noe, May 19 2008

Status

approved