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A139921 Primes of the form 3x^2+104y^2. 2

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

%S 3,107,131,179,251,347,419,443,467,491,563,659,971,1091,1187,1283,

%T 1427,1499,1667,1811,1907,1979,2003,2027,2339,2531,2843,2939,2963,

%U 3251,3299,3371,3467,3539,3779,3851,3923,4091,4211,4523,4547,4787

%N Primes of the form 3x^2+104y^2.

%C Discriminant=-1248. See A139827 for more information.

%H Vincenzo Librandi and Ray Chandler, <a href="/A139921/b139921.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 {35, 107, 131, 155, 179, 251} (mod 312).

%t QuadPrimes2[3, 0, 104, 10000] (* see A106856 *)

%o (Magma) [3] cat [ p: p in PrimesUpTo(6000) | p mod 312 in [35, 107, 131, 155, 179, 251]]; // _Vincenzo Librandi_, Aug 01 2012

%K nonn,easy

%O 1,1

%A _T. D. Noe_, May 02 2008

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Last modified April 24 11:49 EDT 2024. Contains 371936 sequences. (Running on oeis4.)