A140623 Primes of the form 35x^2+30xy+51y^2.

131, 179, 251, 419, 491, 659, 971, 1091, 1499, 1811, 1979, 2339, 2531, 2939, 3251, 3299, 3371, 3539, 3779, 3851, 4091, 4211, 4931, 5099, 5171, 5651, 6491, 6659, 6899, 6971, 7019, 7211, 7331, 8219, 8291, 9491, 9539, 9851, 10091, 10139, 10331

Offset

1,1

Comments

Discriminant=-6240. Also primes of the form 36x^2+12xy+131y^2.

In base 12, the sequence is XE, 12E, 18E, 2XE, 34E, 46E, 68E, 76E, X4E, 106E, 118E, 142E, 156E, 184E, 1X6E, 1XXE, 1E4E, 206E, 222E, 228E, 244E, 252E, 2X2E, 2E4E, 2EXE, 332E, 390E, 3X2E, 3EXE, 404E, 408E, 420E, 42XE, 490E, 496E, 55XE, 562E, 584E, 5X0E, 5X4E, 5E8E, where X is 10 and E is 11. Moreover, the discriminant is -3740. - 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[35, 30, 51, 10000], QuadPrimes2[35, -30, 51, 10000]] (* see A106856 *)

Crossrefs

Cf. A140633.

Sequence in context: A132254 A087832 A335271 * A050261 A180544 A032750

Adjacent sequences: A140620 A140621 A140622 * A140624 A140625 A140626

Keyword

nonn,easy

Author

T. D. Noe, May 19 2008

Extensions

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

Status

approved