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A140011 Primes of the form 37x^2+14xy+37y^2. 1

%I

%S 37,157,397,757,1093,1213,1237,1453,2293,2557,2677,2797,3037,3613,

%T 3733,3853,3877,4093,4357,4933,5197,5413,5437,6037,6373,6637,6733,

%U 6997,7573,8053,8317,8677,8893,9013,9133,9157,9277,9397,9733,10333

%N Primes of the form 37x^2+14xy+37y^2.

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

%H Vincenzo Librandi and Ray Chandler, <a href="/A140011/b140011.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 {37, 133, 157, 397, 493, 757, 973, 1093, 1213, 1237} (mod 1320).

%t Union[QuadPrimes2[37, 14, 37, 10000], QuadPrimes2[37, -14, 37, 10000]] (* see A106856 *)

%o (MAGMA) [ p: p in PrimesUpTo(11000) | p mod 1320 in {37, 133, 157, 397, 493, 757, 973, 1093, 1213, 1237} ]; // _Vincenzo Librandi_, Aug 05 2012

%K nonn,easy

%O 1,1

%A _T. D. Noe_, May 02 2008

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Last modified March 22 10:07 EDT 2019. Contains 321421 sequences. (Running on oeis4.)