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A140040 Primes of the form 33x^2+56y^2. 1

%I #16 Sep 08 2022 08:45:34

%S 89,257,353,521,881,929,1049,1193,1433,1697,1721,2729,2777,2897,3041,

%T 3617,3881,4049,4073,4217,4409,4889,5393,5417,5801,5897,6257,6473,

%U 6737,6977,7481,7577,7649,8273,9161,9497,10169,10289,10433,10937

%N Primes of the form 33x^2+56y^2.

%C Discriminant=-7392. See A139827 for more information.

%H Vincenzo Librandi and Ray Chandler, <a href="/A140040/b140040.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 {89, 185, 257, 353, 377, 521, 713, 881, 929, 1049, 1193, 1433, 1697, 1721, 1769} (mod 1848).

%t QuadPrimes2[33, 0, 56, 10000] (* see A106856 *)

%o (Magma) [ p: p in PrimesUpTo(12000) | p mod 1848 in {89, 185, 257, 353, 377, 521, 713, 881, 929, 1049, 1193, 1433, 1697, 1721, 1769} ]; // _Vincenzo Librandi_, Aug 06 2012

%K nonn,easy

%O 1,1

%A _T. D. Noe_, May 02 2008

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Last modified July 8 02:23 EDT 2024. Contains 374149 sequences. (Running on oeis4.)