A139864 - OEIS

%I #19 Sep 08 2022 08:45:34

%S 2,67,71,79,107,127,151,179,211,331,379,431,487,547,599,659,683,743,

%T 751,827,863,907,911,991,1019,1171,1283,1367,1439,1471,1523,1579,1663,

%U 1667,1723,1747,2003,2027,2083,2111,2143,2179,2207,2311,2339,2347

%N Primes of the form 2x^2 + 2xy + 67y^2.

%C Discriminant = -532. See A139827 for more information.

%H Vincenzo Librandi and Ray Chandler, <a href="/A139864/b139864.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)

%F The primes are congruent to {2, 15, 51, 67, 71, 79, 107, 127, 135, 151, 155, 179, 183, 211, 219, 295, 303, 319, 331, 375, 379, 407, 431, 459, 471, 487, 515, 527} (mod 532).

%t QuadPrimes2[2, -2, 67, 10000] (* see A106856 *)

%o (Magma) [ p: p in PrimesUpTo(3000) | p mod 532 in {2, 15, 51, 67, 71, 79, 107, 127, 135, 151, 155, 179, 183, 211, 219, 295, 303, 319, 331, 375, 379, 407, 431, 459, 471, 487, 515, 527}]; // _Vincenzo Librandi_, Jul 29 2012

%K nonn,easy

%O 1,1

%A _T. D. Noe_, May 02 2008