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Primes of the form 2x^2+2xy+5y^2.
3

%I #9 Jul 07 2023 12:33:21

%S 2,5,17,29,41,53,89,101,113,137,149,173,197,233,257,269,281,293,317,

%T 353,389,401,449,461,509,521,557,569,593,617,641,653,677,701,761,773,

%U 797,809,821,857,881,929,941,953,977,1013,1049,1061,1097,1109,1181,1193,1217,1229,1277,1289,1301,1361,1373,1409,1433,1481,1493,1553,1601,1613,1637

%N Primes of the form 2x^2+2xy+5y^2.

%C Because all terms in A243182 are in {0, 2, 5, 6, 8, 9} (mod 12) and 5 is the only one in this set coprime to 12, this is (apart from the 2) a subsequence of A040117. - _R. J. Mathar_, Jul 07 2023

%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)

%Y Primes in A243182. A040117.

%K nonn

%O 1,1

%A _N. J. A. Sloane_, Jun 02 2014