login
Primes of the form 4x^2+4xy+211y^2.
1

%I #17 Sep 08 2022 08:45:34

%S 211,331,379,499,571,739,1051,1171,1579,2011,2179,2251,2731,2851,3019,

%T 3259,3571,3691,3739,3931,4099,5419,5779,6091,6211,6379,6451,6619,

%U 7219,7459,8059,8731,8779,8971,9619,9739,9811,10459,10651,11131,11251

%N Primes of the form 4x^2+4xy+211y^2.

%C Discriminant=-3360. See A139827 for more information.

%H Vincenzo Librandi and Ray Chandler, <a href="/A139985/b139985.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 {211, 331, 379, 499, 571, 739} (mod 840).

%t QuadPrimes2[4, -4, 211, 10000] (* see A106856 *)

%o (Magma) [p: p in PrimesUpTo(12000) | p mod 840 in [211, 331, 379, 499, 571, 739]]; // _Vincenzo Librandi_, Aug 03 2012

%K nonn,easy

%O 1,1

%A _T. D. Noe_, May 02 2008