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A140631
Primes of the form 57x^2+18xy+193y^2.
1
193, 457, 1033, 2017, 2137, 2377, 3217, 3313, 3697, 4153, 5233, 6073, 6337, 7057, 7417, 7753, 8353, 9433, 10753, 11113, 11617, 11953, 12097, 12433, 12553, 13297, 14737, 15073, 16417, 16633, 16993, 17257, 17977, 19273, 20113, 20353, 20857
OFFSET
1,1
COMMENTS
Discriminant=-43680. Also primes of the form 148x^2+132xy+177y^2.
In base 12, the sequence is 141, 321, 721, 1201, 12X1, 1461, 1X41, 1E01, 2181, 24X1, 3041, 3621, 3801, 4101, 4361, 45X1, 4X01, 5561, 6281, 6521, 6881, 6E01, 7001, 7241, 7321, 7841, 8641, 8881, 9601, 9761, 9X01, 9EX1, X4X1, E1X1, E781, E941, 100X1, 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[57, 18, 193, 10000], QuadPrimes2[57, -18, 193, 10000]] (* see A106856 *)
CROSSREFS
Cf. A140633.
Sequence in context: A347636 A113000 A105129 * A142117 A340230 A142564
KEYWORD
nonn,easy
AUTHOR
T. D. Noe, May 19 2008
STATUS
approved