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A139999 Primes of the form 3x^2+440y^2. 2

%I #16 Sep 08 2022 08:45:34

%S 3,443,467,587,683,947,1307,1523,1787,1907,2003,2027,2267,2843,2963,

%T 3083,3323,3347,3947,4283,4547,4643,5003,5483,5867,5987,6323,6803,

%U 7043,7187,7283,7307,7547,7643,7907,8123,8243,8363,8387,8627,8867

%N Primes of the form 3x^2+440y^2.

%C Discriminant=-5280. See A139827 for more information.

%H Vincenzo Librandi and Ray Chandler, <a href="/A139999/b139999.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 Except for 3, the primes are congruent to {203, 323, 443, 467, 587, 683, 707, 947, 1043, 1307} (mod 1320).

%t QuadPrimes2[3, 0, 440, 10000] (* see A106856 *)

%o (Magma) [3] cat [p: p in PrimesUpTo(12000) | p mod 1320 in [203, 323, 443, 467, 587, 683, 707, 947, 1043, 1307]]; // _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 23 15:20 EDT 2024. Contains 371916 sequences. (Running on oeis4.)