A140617 Primes of the form 11x^2+8xy+32y^2.

11, 107, 179, 347, 443, 491, 659, 683, 827, 947, 1019, 1163, 1187, 1283, 1451, 1499, 1523, 1619, 1667, 1787, 2003, 2027, 2339, 2459, 2531, 2699, 2843, 2963, 3011, 3203, 3299, 3347, 3371, 3467, 3539, 3803, 3851, 4019, 4139, 4211, 4523, 4547

Offset

1,1

Comments

Discriminant=-1344. Also primes of the form 11x^2+4xy+92y^2.

In base 12, the sequence is E, 8E, 12E, 24E, 30E, 34E, 46E, 48E, 58E, 66E, 70E, 80E, 82E, 8XE, X0E, X4E, X6E, E2E, E6E, 104E, 11XE, 120E, 142E, 150E, 156E, 168E, 178E, 186E, 18XE, 1X2E, 1XXE, 1E2E, 1E4E, 200E, 206E, 224E, 228E, 23XE, 248E, 252E, 274E, 276E, where X is for 10 and E is for 11. Moreover, the discriminant is -940. - Walter Kehowski, May 31 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[11, 8, 32, 10000], QuadPrimes2[11, -8, 32, 10000]] (* see A106856 *)

Crossrefs

Cf. A140633.

Sequence in context: A229070 A365775 A058715 * A224717 A163413 A287835

Adjacent sequences: A140614 A140615 A140616 * A140618 A140619 A140620

Keyword

nonn,easy

Author

T. D. Noe, May 19 2008

Status

approved