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A139960 Primes of the form 12x^2+12xy+37y^2. 1

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

%S 37,61,109,181,277,397,541,709,853,877,997,1093,1117,1213,1621,1669,

%T 1693,1741,1933,2029,2221,2341,2437,2557,2749,2917,3037,3253,3301,

%U 3373,3541,3709,3733,3853,4261,4357,4549,4597,4621,4789,4933,4957

%N Primes of the form 12x^2+12xy+37y^2.

%C Discriminant=-1632. See A139827 for more information.

%H Vincenzo Librandi and Ray Chandler, <a href="/A139960/b139960.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, 61, 109, 133, 181, 277, 301, 397} (mod 408).

%t QuadPrimes2[12, -12, 37, 10000] (* see A106856 *)

%o (Magma) [ p: p in PrimesUpTo(5000) | p mod 408 in [37, 61, 109, 133, 181, 277, 301, 397]]; // _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 25 13:40 EDT 2024. Contains 371970 sequences. (Running on oeis4.)