A140626 Primes of the form 51x^2+48xy+56y^2.

59, 179, 659, 971, 1019, 1091, 1571, 1931, 1979, 2339, 2459, 2579, 2939, 3251, 3299, 3371, 3491, 3851, 4019, 4211, 4259, 4931, 5171, 5531, 5651, 6131, 6299, 6491, 6779, 6899, 7019, 7211, 7451, 7499, 7691, 8819, 9059, 9419, 9491, 10091

Offset

1,1

Comments

Discriminant=-9120. Also primes of the form 59x^2+4xy+116y^2.

In base 12, the sequence is 4E, 12E, 46E, 68E, 70E, 76E, XXE, 114E, 118E, 142E, 150E, 15XE, 184E, 1X6E, 1XXE, 1E4E, 202E, 228E, 23XE, 252E, 256E, 2X2E, 2EXE, 324E, 332E, 366E, 378E, 390E, 3E0E, 3EXE, 408E, 420E, 438E, 440E, 454E, 512E, 52XE, 554E, 55XE, 5X0E, where X is 10 and E is 11. Moreover, the discriminant is -5340. - 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[51, 48, 56, 10000], QuadPrimes2[51, -48, 56, 10000]] (* see A106856 *)

Crossrefs

Cf. A140633.

Sequence in context: A279099 A142799 A250025 * A160681 A142857 A142064

Adjacent sequences: A140623 A140624 A140625 * A140627 A140628 A140629

Keyword

nonn,easy

Author

T. D. Noe, May 19 2008

Extensions

Corrected and extended b-file - Ray Chandler, Aug 02 2014

Status

approved