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%I #17 Sep 08 2022 08:45:34
%S 97,113,193,257,337,433,673,857,953,977,1097,1153,1193,1433,1553,1777,
%T 1913,2017,2273,2377,2393,2473,2617,2713,2777,2833,2953,3137,3257,
%U 3433,3457,3593,3793,3833,4057,4217,4297,4513,4657,4673,4817,4993
%N Primes of the form 8x^2+8xy+97y^2.
%C Discriminant=-3040. See A139827 for more information.
%H Vincenzo Librandi and Ray Chandler, <a href="/A139980/b139980.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 {33, 97, 113, 193, 217, 257, 297, 337, 393, 417, 433, 497, 553, 673, 697, 713, 737, 753, 793, 857, 873, 953, 977, 1017, 1057, 1097, 1153, 1177, 1193, 1257, 1313, 1433, 1457, 1473, 1497, 1513, 1553, 1617, 1633, 1713, 1737, 1777, 1817, 1857, 1913, 1937, 1953, 2017, 2073, 2193, 2217, 2233, 2257, 2273, 2313, 2377, 2393, 2473, 2497, 2537, 2577, 2617, 2673, 2697, 2713, 2777, 2833, 2953, 2977, 2993, 3017, 3033} (mod 3040).
%t QuadPrimes2[8, -8, 97, 10000] (* see A106856 *)
%o (Magma) [p: p in PrimesUpTo(6000) | p mod 3040 in [33, 97, 113, 193, 217, 257, 297, 337, 393, 417, 433, 497, 553, 673, 697, 713, 737, 753, 793, 857, 873, 953, 977, 1017, 1057, 1097, 1153, 1177, 1193, 1257, 1313, 1433, 1457, 1473, 1497, 1513, 1553, 1617, 1633, 1713, 1737, 1777, 1817, 1857, 1913, 1937, 1953, 2017, 2073, 2193, 2217, 2233, 2257, 2273, 2313, 2377, 2393, 2473, 2497, 2537, 2577, 2617, 2673, 2697, 2713, 2777, 2833, 2953, 2977, 2993, 3017, 3033]]; // _Vincenzo Librandi_, Aug 03 2012
%K nonn,easy
%O 1,1
%A _T. D. Noe_, May 02 2008
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