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A139833 Primes of the form 2x^2+2xy+29y^2. 1

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

%S 2,29,41,53,89,113,173,257,269,281,293,317,401,449,509,521,569,641,

%T 677,773,797,857,941,953,977,1097,1181,1193,1229,1361,1409,1433,1481,

%U 1553,1637,1709,1877,1889,1913,1997,2081,2141,2237,2273,2309,2333

%N Primes of the form 2x^2+2xy+29y^2.

%C Discriminant=-228. See A139827 for more information.

%H Vincenzo Librandi and Ray Chandler, <a href="/A139833/b139833.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, 29, 41, 53, 65, 89, 113, 173, 185, 221} (mod 228).

%t QuadPrimes2[2, -2, 29, 10000] (* see A106856 *)

%o (Magma) [ p: p in PrimesUpTo(3000) | p mod 228 in {2, 29, 41, 53, 65, 89, 113, 173, 185, 221}]; // _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 23:59 EDT 2024. Contains 375984 sequences. (Running on oeis4.)