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A140617 Primes of the form 11x^2+8xy+32y^2. 1


%S 11,107,179,347,443,491,659,683,827,947,1019,1163,1187,1283,1451,1499,

%T 1523,1619,1667,1787,2003,2027,2339,2459,2531,2699,2843,2963,3011,

%U 3203,3299,3347,3371,3467,3539,3803,3851,4019,4139,4211,4523,4547

%N Primes of the form 11x^2+8xy+32y^2.

%C Discriminant=-1344. Also primes of the form 11x^2+4xy+92y^2.

%C In base 12, the sequence is E, 8E, 12E, 24E, 30E, 34E, 46E, 48E, 58E, 66E, 70E, 80E, 82E, 8XE, X0E, X4E, X6E, E2E, E6E, 104E, 11XE, 120E, 142E, 150E, 156E, 168E, 178E, 186E, 18XE, 1X2E, 1XXE, 1E2E, 1E4E, 200E, 206E, 224E, 228E, 23XE, 248E, 252E, 274E, 276E, where X is for 10 and E is for 11. Moreover, the discriminant is -940. - _Walter Kehowski_, May 31 2008

%H Vincenzo Librandi and Ray Chandler, <a href="/A140617/b140617.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[11, 8, 32, 10000], QuadPrimes2[11, -8, 32, 10000]] (* see A106856 *)

%Y Cf. A140633.

%K nonn,easy

%O 1,1

%A _T. D. Noe_, May 19 2008

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Last modified June 15 19:31 EDT 2021. Contains 345049 sequences. (Running on oeis4.)