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A139989 Primes of the form 8x^2+8xy+107y^2. 1

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

%S 107,347,443,683,827,947,1163,1187,1283,1523,1667,1787,2003,2027,2843,

%T 2963,3203,3347,3467,3803,4523,4547,4643,5147,5387,5483,5867,5987,

%U 6203,6323,6563,6827,7043,7547,7883,7907,8243,8387,8747,9227,9587

%N Primes of the form 8x^2+8xy+107y^2.

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

%H Vincenzo Librandi and Ray Chandler, <a href="/A139989/b139989.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 {107, 323, 347, 443, 683, 827} (mod 840).

%t QuadPrimes2[8, -8, 107, 10000] (* see A106856 *)

%o (Magma) [p: p in PrimesUpTo(11000) | p mod 840 in [107, 323, 347, 443, 683, 827]]; // _Vincenzo Librandi_, Aug 03 2012

%K nonn,easy

%O 1,1

%A _T. D. Noe_, May 02 2008

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Last modified April 24 03:08 EDT 2024. Contains 371918 sequences. (Running on oeis4.)