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%I #17 Sep 08 2022 08:45:34
%S 229,241,349,409,661,769,1021,1321,1489,1669,1861,2281,2749,3001,3541,
%T 4129,4441,5101,5449,5689,5701,5869,6121,6229,6481,6781,6949,6961,
%U 7129,7321,7369,7741,7789,8209,8221,8461,9001,9901,10069,10909,11149
%N Primes of the form 6x^2+6xy+229y^2.
%C Discriminant=-5460. See A139827 for more information.
%H Vincenzo Librandi and Ray Chandler, <a href="/A140017/b140017.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 {229, 241, 349, 409, 661, 769, 1021, 1081, 1189, 1321, 1441, 1489, 1501, 1669, 1861, 1909, 2281, 2329, 2449, 2581, 2749, 2761, 3001, 3349, 3421, 3541, 3841, 4009, 4129, 4441, 4609, 5029, 5101, 5221, 5389, 5449} (mod 5460).
%t QuadPrimes2[6, -6, 229, 10000] (* see A106856 *)
%o (Magma) [ p: p in PrimesUpTo(12000) | p mod 5460 in {229, 241, 349, 409, 661, 769, 1021, 1081, 1189, 1321, 1441, 1489, 1501, 1669, 1861, 1909, 2281, 2329, 2449, 2581, 2749, 2761, 3001, 3349, 3421, 3541, 3841, 4009, 4129, 4441, 4609, 5029, 5101, 5221, 5389, 5449} ]; // _Vincenzo Librandi_, Aug 05 2012
%K nonn,easy
%O 1,1
%A _T. D. Noe_, May 02 2008