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A140015 Primes of the form 3x^2+455y^2. 1

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

%S 3,467,503,563,647,887,1223,1427,1823,1847,1907,2063,2687,2903,3407,

%T 3527,3923,4007,4703,4787,5087,5927,6263,6803,6863,7283,7307,7523,

%U 7643,8147,8363,8447,8867,9203,9467,9623,9803,10163,10247,11423,11483

%N Primes of the form 3x^2+455y^2.

%C Discriminant=-5460. See A139827 for more information.

%H Vincenzo Librandi and Ray Chandler, <a href="/A140015/b140015.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 {3, 467, 503, 563, 647, 803, 887, 1067, 1223, 1343, 1403, 1427, 1823, 1847, 1907, 2063, 2183, 2603, 2687, 2747, 2903, 2987, 3407, 3527, 3587, 3743, 3923, 4007, 4163, 4247, 4343, 4367, 4703, 4787, 5087, 5123, 5183} (mod 5460).

%t QuadPrimes2[3, 0, 455, 10000] (* see A106856 *)

%o (Magma) [ p: p in PrimesUpTo(12000) | p mod 5460 in {3, 467, 503, 563, 647, 803, 887, 1067, 1223, 1343, 1403, 1427, 1823, 1847, 1907, 2063, 2183, 2603, 2687, 2747, 2903, 2987, 3407, 3527, 3587, 3743, 3923, 4007, 4163, 4247, 4343, 4367, 4703, 4787, 5087, 5123, 5183} ]; // _Vincenzo Librandi_, Aug 05 2012

%K nonn,easy

%O 1,1

%A _T. D. Noe_, May 02 2008

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Last modified April 24 12:57 EDT 2024. Contains 371943 sequences. (Running on oeis4.)