A140629 Primes of the form 76x^2+20xy+145y^2.

241, 409, 769, 1321, 1489, 2281, 3001, 4129, 4441, 5449, 5689, 6121, 6481, 6961, 7129, 7321, 7369, 8209, 9001, 11161, 11329, 11689, 12241, 12409, 13249, 13681, 13921, 14929, 15361, 16369, 16729, 17041, 17401, 17569, 17881, 18049, 18289

Offset

1,1

Comments

Discriminant=-43680. Also primes of the form 96x^2+72xy+241y^2.

In base 12, the sequence is 181, 2X1, 541, 921, X41, 13X1, 18X1, 2481, 26X1, 31X1, 3361, 3661, 3901, 4041, 4161, 42X1, 4321, 4901, 5261, 6561, 6681, 6921, 7101, 7221, 7801, 7E01, 8081, 8781, 8X81, 9581, 9821, 9X41, X0X1, X201, X421, X541, X701, where X is 10 and E is 11. Moreover, the discriminant is -21340. - 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[76, 20, 145, 10000], QuadPrimes2[76, -20, 145, 10000]] (* see A106856 *)

Crossrefs

Cf. A140633.

Sequence in context: A050968 A142918 A139502 * A325088 A321582 A137771

Adjacent sequences: A140626 A140627 A140628 * A140630 A140631 A140632

Keyword

nonn,easy

Author

T. D. Noe, May 19 2008

Status

approved