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A139835 Primes of the form 2x^2+2xy+43y^2. 1

%I #17 Sep 08 2022 08:45:33

%S 2,43,47,67,83,103,127,223,263,307,383,443,463,467,523,563,587,647,

%T 727,863,883,967,1063,1087,1103,1123,1223,1283,1307,1327,1427,1447,

%U 1483,1487,1543,1583,1607,1667,1747,1783,1787,1823,1987,2027,2083

%N Primes of the form 2x^2+2xy+43y^2.

%C Discriminant=-340. See A139827 for more information.

%H Vincenzo Librandi and Ray Chandler, <a href="/A139835/b139835.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 {2, 43, 47, 67, 83, 87, 103, 123, 127, 183, 203, 223, 247, 263, 287, 307, 327} (mod 340).

%t QuadPrimes2[2, -2, 43, 10000] (* see A106856 *)

%o (Magma) [ p: p in PrimesUpTo(3000) | p mod 340 in {2, 43, 47, 67, 83, 87, 103, 123, 127, 183, 203, 223, 247, 263, 287, 307, 327}]; // _Vincenzo Librandi_, Jul 29 2012

%K nonn,easy

%O 1,1

%A _T. D. Noe_, May 02 2008

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Last modified September 16 22:04 EDT 2024. Contains 375979 sequences. (Running on oeis4.)