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A139945 Primes of the form 7x^2+51y^2. 1

%I #18 Sep 08 2022 08:45:34

%S 7,79,163,211,379,487,499,547,571,751,823,907,991,1051,1303,1423,1663,

%T 1723,1831,1999,2011,2179,2251,2647,2683,2731,2851,3019,3067,3259,

%U 3271,3343,3607,3847,3907,4111,4159,4243,4363,4447,4519,4663,4783

%N Primes of the form 7x^2+51y^2.

%C Discriminant=-1428. See A139827 for more information.

%H Vincenzo Librandi and Ray Chandler, <a href="/A139945/b139945.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 {7, 79, 163, 211, 235, 295, 379, 403, 415, 487, 499, 547, 571, 583, 751, 823, 907, 991, 1051, 1159, 1219, 1255, 1303, 1387, 1423} (mod 1428).

%t QuadPrimes2[7, 0, 51, 10000] (* see A106856 *)

%o (Magma) [ p: p in PrimesUpTo(6000) | p mod 1428 in [7, 79, 163, 211, 235, 295, 379, 403, 415, 487, 499, 547, 571, 583, 751, 823, 907, 991, 1051, 1159, 1219, 1255, 1303, 1387, 1423]]; // _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 03:15 EDT 2024. Contains 371964 sequences. (Running on oeis4.)