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A121243 Primes of the form 4x^2 + 4xy + 9y^2. +0
1
17, 73, 89, 97, 193, 233, 241, 281, 401, 433, 449, 601, 617, 641, 673, 769, 929, 937, 977, 1009, 1033, 1049, 1097, 1193, 1289, 1297, 1361, 1409, 1433, 1481, 1489, 1609, 1697, 1721, 1753, 1801, 1873, 1913 (list; graph; listen)
OFFSET

1,1

COMMENT

This sequence is complementary to A105389 in the sense that the two sequences are disjoint and their union constitutes all primes p satisfying Mod[p,8]=1.

LINKS

S. R. Finch, Powers of Euler's q-Series, (arXiv:math.NT/0701251).

EXAMPLE

17 = 4*1^2 + 4*1*1 + 9*1^2, 73 = 4*1^2 + 4*1*(-3) + 9*(-3)^2

CROSSREFS

Cf. A105389.

Sequence in context: A130748 A131692 A059704 this_sequence A039371 A139919 A043194

Adjacent sequences: A121240 A121241 A121242 this_sequence A121244 A121245 A121246

KEYWORD

nonn

AUTHOR

S. R. Finch (Steven.Finch(AT)inria.fr), Aug 22 2006

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Last modified August 29 17:54 EDT 2008. Contains 143238 sequences.


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