%I #19 Sep 08 2022 08:45:34

%S 23,67,163,443,463,487,683,823,863,883,907,947,1087,1103,1303,1367,

%T 1423,1523,1607,1747,1787,2003,2027,2083,2143,2347,2423,2447,2843,

%U 2927,2963,3067,3347,3623,3767,3943,4027,4327,4447,4547,4603,4643

%N Primes of the form 22x^2+22xy+23y^2.

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

%H Vincenzo Librandi and Ray Chandler, <a href="/A139955/b139955.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 {23, 67, 163, 207, 247, 267, 323, 443, 463, 487, 543, 603, 683, 687, 807, 823, 863, 883, 907, 947, 1087, 1103, 1247, 1303, 1367, 1387, 1423, 1467, 1523, 1527} (mod 1540).

%t QuadPrimes2[22, -22, 23, 10000] (* see A106856 *)

%o (Magma) [ p: p in PrimesUpTo(6000) | p mod 1540 in [23, 67, 163, 207, 247, 267, 323, 443, 463, 487, 543, 603, 683, 687, 807, 823, 863, 883, 907, 947, 1087, 1103, 1247, 1303, 1367, 1387, 1423, 1467, 1523, 1527]]; // _Vincenzo Librandi_, Aug 02 2012

%K nonn,easy

%O 1,1

%A _T. D. Noe_, May 02 2008

%E Corrected and extended b-file - _Ray Chandler_, Aug 01 2014