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A139963 Primes of the form 2x^2+231y^2. 2

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

%S 2,233,239,263,281,359,431,569,743,809,953,1031,1289,1481,1583,1913,

%T 2081,2087,2111,2129,2153,2207,2417,2543,2591,2657,2801,2879,2969,

%U 3119,3137,3329,3593,3761,3929,4001,4127,4391,4463,4649,4817,4967

%N Primes of the form 2x^2+231y^2.

%C Discriminant=-1848. See A139827 for more information.

%H Vincenzo Librandi and Ray Chandler, <a href="/A139963/b139963.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 {2, 65, 95, 233, 239, 263, 281, 305, 359, 431, 527, 569, 695, 743, 767, 809, 953, 1031, 1073, 1121, 1271, 1289, 1415, 1481, 1535, 1583, 1625, 1649, 1745, 1751, 1817} (mod 1848).

%t QuadPrimes2[2, 0, 231, 10000] (* see A106856 *)

%o (Magma) [ p: p in PrimesUpTo(5000) | p mod 1848 in [2, 65, 95, 233, 239, 263, 281, 305, 359, 431, 527, 569, 695, 743, 767, 809, 953, 1031, 1073, 1121, 1271, 1289, 1415, 1481, 1535, 1583, 1625, 1649, 1745, 1751, 1817]]; // _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 16:45 EDT 2024. Contains 371989 sequences. (Running on oeis4.)