Search: id:A003657
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%I A003657 M2332
%S A003657 3,4,7,8,11,15,19,20,23,24,31,35,39,40,43,47,51,52,55,56,59,67,68,71,
%T A003657 79,83,84,87,88,91,95,103,104,107,111,115,116,119,120,123,127,131,132,
%U A003657 136,139,143,148,151,152,155,159,163,164,167,168,179,183,184,187,191
%N A003657 Discriminants of imaginary quadratic fields, negated.
%C A003657 Negative of fundamental discriminants D := b^2-4*a*c<0 of definite integer 
               binary quadratic forms F=a*x^2+b*x*y+c*y^2. See Buell reference pp. 
               223-234. See 4*A089269 for even a(n) and A039957 for odd a(n). - 
               Wolfdieter Lang, Nov 07 2003
%C A003657 All prime numbers in the set of the absolute values of negative fundamental 
               discriminants are Gaussian primes (A002145). - Paul Muljadi (paulmuljadi(AT)yahoo.com), 
               Mar 29 2008
%D A003657 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A003657 D. A. Buell, Binary Quadratic Forms. Springer-Verlag, NY, 1989.
%D A003657 H. Cohen, Course in Computational Alg. No. Theory, Springer, 1993, p. 
               514.
%D A003657 P. Ribenboim, Algebraic Numbers, Wiley, NY, 1972, p. 97.
%H A003657 T. D. Noe, <a href="b003657.txt">Table of n, a(n) for n=1..3000</a>
%H A003657 S. R. Finch, <a href="http://algo.inria.fr/bsolve/">Class number theory</
               a>
%H A003657 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               ClassNumber.html">Link to a section of The World of Mathematics.</
               a>
%H A003657 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               DirichletL-Series.html">Link to a section of The World of Mathematics.</
               a>
%H A003657 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               FundamentalDiscriminant.html">Fundamental Discriminant</a>
%Y A003657 Cf. A002145.
%Y A003657 Sequence in context: A067186 A133675 A050122 this_sequence A003644 A033195 
               A107819
%Y A003657 Adjacent sequences: A003654 A003655 A003656 this_sequence A003658 A003659 
               A003660
%K A003657 nonn
%O A003657 1,1
%A A003657 N. J. A. Sloane (njas(AT)research.att.com), Mira Bernstein

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