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A139933 Primes of the form 11x^2+30y^2. 1

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

%S 11,41,131,281,491,569,659,761,809,1019,1091,1289,1361,1451,1481,1601,

%T 1619,1811,1889,1931,1979,2081,2129,2339,2411,2441,2459,2609,2801,

%U 2939,2969,3011,3209,3251,3299,3329,3449,3539,3659,3761,3779,3929

%N Primes of the form 11x^2+30y^2.

%C Discriminant=-1320. See A139827 for more information.

%H Vincenzo Librandi and Ray Chandler, <a href="/A139933/b139933.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 {11, 41, 131, 161, 281, 299, 329, 371, 491, 569, 611, 659, 689, 761, 809, 899, 1019, 1091, 1121, 1139, 1289} (mod 1320).

%t QuadPrimes2[11, 0, 30, 10000] (* see A106856 *)

%o (Magma) [ p: p in PrimesUpTo(6000) | p mod 1320 in [11, 41, 131, 161, 281, 299, 329, 371, 491, 569, 611, 659, 689, 761, 809, 899, 1019, 1091, 1121, 1139, 1289]]; // _Vincenzo Librandi_, Aug 02 2012

%K nonn,easy

%O 1,1

%A _T. D. Noe_, May 02 2008

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Last modified March 28 18:04 EDT 2024. Contains 371254 sequences. (Running on oeis4.)