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A139905 Primes of the form 11x^2+23y^2. 1

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

%S 11,23,67,103,191,199,251,367,379,383,419,467,619,631,643,727,751,839,

%T 907,911,971,983,1103,1123,1171,1259,1279,1303,1307,1367,1423,1483,

%U 1523,1571,1607,1699,1747,1831,1907,1951,2011,2039,2179,2311,2399

%N Primes of the form 11x^2+23y^2.

%C Discriminant=-1012. See A139827 for more information.

%H Vincenzo Librandi and Ray Chandler, <a href="/A139905/b139905.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, 15, 23, 67, 91, 103, 111, 135, 155, 159, 191, 199, 203, 235, 247, 251, 267, 287, 291, 295, 339, 355, 367, 375, 379, 383, 411, 419, 467, 471, 511, 543, 551, 559, 595, 603, 619, 631, 643, 663, 687, 707, 727, 735, 751, 779, 815, 819, 839, 895, 907, 911, 927, 939, 971, 983, 999} (mod 1012).

%t QuadPrimes2[11, 0, 23, 10000] (* see A106856 *)

%o (Magma) [ p: p in PrimesUpTo(3000) | p mod 1012 in {11, 15, 23, 67, 91, 103, 111, 135, 155, 159, 191, 199, 203, 235, 247, 251, 267, 287, 291, 295, 339, 355, 367, 375, 379, 383, 411, 419, 467, 471, 511, 543, 551, 559, 595, 603, 619, 631, 643, 663, 687, 707, 727, 735, 751, 779, 815, 819, 839, 895, 907, 911, 927, 939, 971, 983, 999}]; // _Vincenzo Librandi_, Jul 31 2012

%K nonn,easy

%O 1,1

%A _T. D. Noe_, May 02 2008

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Last modified June 23 11:27 EDT 2024. Contains 373644 sequences. (Running on oeis4.)