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Primes of the form 3x^2+xy+5y^2, with x and y any integer.
3

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

%S 3,5,7,19,29,41,53,79,107,127,137,167,181,193,199,239,241,251,257,263,

%T 271,277,281,293,307,311,331,359,379,433,449,487,491,499,523,557,577,

%U 593,599,607,617,619,643,647,653,661,709,757,761,829,853,877,883,907

%N Primes of the form 3x^2+xy+5y^2, with x and y any integer.

%C Discriminant=-59.

%C Primes p such that the polynomial x^3-2x^2-1 is irreducible over Zp. The polynomial discriminant is also -59. - _T. D. Noe_, May 13 2005

%H Vincenzo Librandi and Ray Chandler, <a href="/A106919/b106919.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, 5, 10000], QuadPrimes2[3, -1, 5, 10000]] (* see A106856 *)

%K nonn,easy

%O 1,1

%A _T. D. Noe_, May 09 2005