A140624 Primes of the form 19x^2+14xy+91y^2.

19, 139, 619, 691, 811, 859, 1291, 1459, 1531, 1699, 2131, 2371, 2539, 2659, 2971, 3331, 3499, 4051, 4219, 4339, 4651, 5011, 5059, 5179, 5659, 5851, 6571, 6691, 7411, 7699, 8011, 8179, 8419, 8539, 9091, 9859, 9931, 10099, 10531, 10771, 10891

Offset

1,1

Comments

Discriminant=-6720. Also primes of the form 19x^2+16xy+136y^2.

In base 12, the sequence is 17, E7, 437, 497, 577, 5E7, 8E7, X17, X77, E97, 1297, 1457, 1577, 1657, 1877, 1E17, 2037, 2417, 2537, 2617, 2837, 2X97, 2E17, 2EE7, 3337, 3477, 3977, 3X57, 4357, 4557, 4777, 4897, 4X57, 4E37, 5317, 5857, 58E7, 5X17, 6117, 6297, 6377, where X is 10 and E is 11. Moreover, the discriminant is -3X80. - 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[19, 14, 91, 10000], QuadPrimes2[19, -14, 91, 10000]] (* see A106856 *)

Crossrefs

Cf. A140633.

Sequence in context: A142746 A221226 A139902 * A244505 A235146 A057636

Adjacent sequences: A140621 A140622 A140623 * A140625 A140626 A140627

Keyword

nonn,easy

Author

T. D. Noe, May 19 2008

Status

approved