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A140022 Primes of the form 15x^2+91y^2. 1

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

%S 151,331,379,499,631,739,1051,1471,1579,1831,2179,2251,2671,3271,3739,

%T 3931,4519,4831,4951,4999,5419,5779,5791,5839,6091,6199,6619,6871,

%U 7039,7351,7639,8731,9199,9319,9391,9739,10159,10459,10831,11071

%N Primes of the form 15x^2+91y^2.

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

%H Vincenzo Librandi and Ray Chandler, <a href="/A140022/b140022.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 {151, 319, 331, 379, 499, 631, 739, 799, 1051, 1159, 1411, 1471, 1579, 1591, 1831, 1891, 2059, 2179, 2251, 2671, 2839, 3151, 3271, 3439, 3739, 3859, 3931, 4279, 4519, 4531, 4699, 4831, 4951, 4999, 5371, 5419} (mod 5460).

%t QuadPrimes2[15, 0, 91, 10000] (* see A106856 *)

%o (Magma) [ p: p in PrimesUpTo(13000) | p mod 5460 in {151, 319, 331, 379, 499, 631, 739, 799, 1051, 1159, 1411, 1471, 1579, 1591, 1831, 1891, 2059, 2179, 2251, 2671, 2839, 3151, 3271, 3439, 3739, 3859, 3931, 4279, 4519, 4531, 4699, 4831, 4951, 4999, 5371, 5419} ]; // _Vincenzo Librandi_, Aug 06 2012

%K nonn,easy

%O 1,1

%A _T. D. Noe_, May 02 2008

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Last modified April 25 07:41 EDT 2024. Contains 371964 sequences. (Running on oeis4.)