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Primes of the form 11x^2+2xy+11y^2.
2

%I #18 Sep 08 2022 08:45:34

%S 11,59,131,179,251,419,491,659,971,1019,1091,1259,1451,1499,1571,1619,

%T 1811,1931,1979,2099,2339,2411,2459,2531,2579,2699,2819,2939,3011,

%U 3251,3299,3371,3491,3539,3659,3779,3851,4019,4091,4139,4211,4259

%N Primes of the form 11x^2+2xy+11y^2.

%C Discriminant=-480. See A139827 for more information.

%C Also primes of the forms 11x^2+4xy+44y^2, 11x^2+10xy+35y^2 and 11x^2+8xy+56y^2. See A140633. - _T. D. Noe_, May 19 2008

%H Vincenzo Librandi and Ray Chandler, <a href="/A139859/b139859.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 {11, 59} (mod 120).

%t Union[QuadPrimes2[11, 2, 11, 10000], QuadPrimes2[11, -2, 11, 10000]] (* see A106856 *)

%o (Magma) [ p: p in PrimesUpTo(6000) | p mod 120 in {11, 59}]; // _Vincenzo Librandi_, Jul 29 2012

%K nonn,easy

%O 1,1

%A _T. D. Noe_, May 02 2008