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A140021 Primes of the form 14x^2+14xy+101y^2. 1

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

%S 101,269,521,881,1049,1109,1301,1361,1889,1949,2141,2441,2609,2729,

%T 2861,3041,3449,3461,3701,3821,4241,4289,4889,5381,5669,5801,5981,

%U 6569,6761,7229,7349,7829,7901,8069,8501,8609,9161,9281,9749,9929

%N Primes of the form 14x^2+14xy+101y^2.

%C Discriminant=-5460. See A139827 for more information.

%H Vincenzo Librandi and Ray Chandler, <a href="/A140021/b140021.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 {101, 209, 269, 341, 521, 881, 1049, 1109, 1301, 1349, 1361, 1769, 1889, 1949, 2141, 2201, 2369, 2441, 2609, 2729, 2861, 2981, 3041, 3149, 3449, 3461, 3701, 3821, 4241, 4289, 4469, 4541, 4709, 4889, 5249, 5381} (mod 5460).

%t QuadPrimes2[14, -14, 101, 10000] (* see A106856 *)

%o (Magma) [ p: p in PrimesUpTo(13000) | p mod 5460 in {101, 209, 269, 341, 521, 881, 1049, 1109, 1301, 1349, 1361, 1769, 1889, 1949, 2141, 2201, 2369, 2441, 2609, 2729, 2861, 2981, 3041, 3149, 3449, 3461, 3701, 3821, 4241, 4289, 4469, 4541, 4709, 4889, 5249, 5381} ]; // _Vincenzo Librandi_, Aug 05 2012

%K nonn,easy

%O 1,1

%A _T. D. Noe_, May 02 2008

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Last modified April 25 01:35 EDT 2024. Contains 371964 sequences. (Running on oeis4.)