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A139946 Primes of the form 14x^2+14xy+29y^2. 1

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

%S 29,113,197,233,317,401,449,617,641,653,809,821,1061,1229,1289,1493,

%T 1877,1901,2069,2081,2153,2213,2237,2417,2657,2969,3089,3257,3329,

%U 3389,3581,3593,3677,3917,4001,4253,4349,4397,4481,4517,4733,4817

%N Primes of the form 14x^2+14xy+29y^2.

%C Discriminant=-1428. See A139827 for more information.

%H Vincenzo Librandi and Ray Chandler, <a href="/A139946/b139946.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 {29, 65, 113, 197, 233, 317, 401, 449, 473, 533, 617, 641, 653, 725, 737, 785, 809, 821, 989, 1061, 1145, 1229, 1289, 1397} (mod 1428).

%t QuadPrimes2[14, -14, 29, 10000] (* see A106856 *)

%o (Magma) [ p: p in PrimesUpTo(6000) | p mod 1428 in [29, 65, 113, 197, 233, 317, 401, 449, 473, 533, 617, 641, 653, 725, 737, 785, 809, 821, 989, 1061, 1145, 1229, 1289, 1397]]; // _Vincenzo Librandi_, Aug 02 2012

%K nonn,easy

%O 1,1

%A _T. D. Noe_, May 02 2008

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Last modified April 18 17:56 EDT 2024. Contains 371781 sequences. (Running on oeis4.)