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A139953 Primes of the form 11x^2+35y^2. 1

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

%S 11,79,151,211,239,359,431,491,571,659,739,919,1019,1031,1051,1451,

%T 1471,1579,1619,1759,1999,2111,2251,2339,2459,2591,2851,2879,3011,

%U 3119,3299,3319,3511,3539,3571,3691,3739,4099,4111,4391,4831,5051

%N Primes of the form 11x^2+35y^2.

%C Discriminant=-1540. See A139827 for more information.

%H Vincenzo Librandi and Ray Chandler, <a href="/A139953/b139953.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 {11, 39, 51, 79, 151, 211, 219, 239, 351, 359, 431, 459, 491, 519, 571, 611, 659, 711, 739, 799, 879, 919, 1019, 1031, 1051, 1271, 1311, 1339, 1359, 1451, 1471} (mod 1540).

%t QuadPrimes2[11, 0, 35, 10000] (* see A106856 *)

%o (Magma) [ p: p in PrimesUpTo(6000) | p mod 1540 in [11, 39, 51, 79, 151, 211, 219, 239, 351, 359, 431, 459, 491, 519, 571, 611, 659, 711, 739, 799, 879, 919, 1019, 1031, 1051, 1271, 1311, 1339, 1359, 1451, 1471]]; // _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 10:51 EDT 2024. Contains 371967 sequences. (Running on oeis4.)