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

%I #20 Aug 05 2014 14:16:29

%S 3,7,11,17,29,31,37,59,61,109,113,127,151,167,173,191,197,241,313,317,

%T 349,353,359,373,383,409,419,431,443,463,479,499,509,523,547,563,593,

%U 617,619,673,691,727,733,757,839,853,857,859,863,881,907,911,929,941

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

%C Discriminant=-83.

%C 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

%H Vincenzo Librandi and Ray Chandler, <a href="/A106967/b106967.txt">Table of n, a(n) for n = 1..10000</a> [First 1000 terms from Vincenzo Librandi]

%H N. J. A. Sloane et al., <a href="https://oeis.org/wiki/Binary_Quadratic_Forms_and_OEIS">Binary Quadratic Forms and OEIS</a> (Index to related sequences, programs, references)

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

%K nonn,easy

%O 1,1

%A _T. D. Noe_, May 09 2005