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A139922 Primes of the form 4x^2+4xy+79y^2. 1

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

%S 79,103,127,199,367,439,607,727,751,823,919,991,1039,1063,1231,1303,

%T 1327,1447,1543,1663,1759,1951,1999,2239,2287,2311,2383,2551,2791,

%U 2887,3319,3511,3559,3631,3727,3823,3847,3943,4111,4159,4423,4447

%N Primes of the form 4x^2+4xy+79y^2.

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

%H Vincenzo Librandi and Ray Chandler, <a href="/A139922/b139922.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 {55, 79, 103, 127, 199, 295} (mod 312).

%t QuadPrimes2[4, -4, 79, 10000] (* see A106856 *)

%o (Magma) [ p: p in PrimesUpTo(6000) | p mod 312 in [55, 79, 103, 127, 199, 295]]; // _Vincenzo Librandi_, Aug 01 2012

%K nonn,easy

%O 1,1

%A _T. D. Noe_, May 02 2008

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Last modified August 29 15:03 EDT 2024. Contains 375517 sequences. (Running on oeis4.)