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A140001 Primes of the form 5x^2+264y^2. 1

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

%S 5,269,389,509,1061,1109,1181,1301,1709,1901,2069,2381,2621,2861,2909,

%T 3221,3389,3701,3821,4229,4349,5021,5261,5501,5669,5861,6029,6389,

%U 6581,6869,7109,7349,7901,8429,8501,8669,9029,9221,9461,9629,9749

%N Primes of the form 5x^2+264y^2.

%C Discriminant=-5280. See A139827 for more information.

%H Vincenzo Librandi and Ray Chandler, <a href="/A140001/b140001.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 Except for 5, the primes are congruent to {221, 269, 389, 509, 581, 749, 1061, 1109, 1181, 1301} (mod 1320).

%t QuadPrimes2[5, 0, 264, 10000] (* see A106856 *)

%o (Magma) [5] cat [p: p in PrimesUpTo(12000) | p mod 1320 in [221, 269, 389, 509, 581, 749, 1061, 1109, 1181, 1301]]; // _Vincenzo Librandi_, Aug 03 2012

%K nonn,easy

%O 1,1

%A _T. D. Noe_, May 02 2008

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Last modified August 30 18:36 EDT 2024. Contains 375545 sequences. (Running on oeis4.)