A106967 Primes of the form 3x^2+xy+7y^2, with x and y any integer.

3, 7, 11, 17, 29, 31, 37, 59, 61, 109, 113, 127, 151, 167, 173, 191, 197, 241, 313, 317, 349, 353, 359, 373, 383, 409, 419, 431, 443, 463, 479, 499, 509, 523, 547, 563, 593, 617, 619, 673, 691, 727, 733, 757, 839, 853, 857, 859, 863, 881, 907, 911, 929, 941

Offset

1,1

Comments

Discriminant=-83.

Primes p such that the polynomial x^3-2x^2-2x-1 is irreducible over Zp. The polynomial discriminant is also -83. - T. D. Noe, May 13 2005

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[3, 1, 7, 10000], QuadPrimes2[3, -1, 7, 10000]] (* see A106856 *)

Crossrefs

Sequence in context: A088206 A052341 A038949 * A045420 A190898 A142248

Adjacent sequences: A106964 A106965 A106966 * A106968 A106969 A106970

Keyword

nonn,easy

Author

T. D. Noe, May 09 2005

Status

approved