Search: id:A003658
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%I A003658 M3776
%S A003658 1,5,8,12,13,17,21,24,28,29,33,37,40,41,44,53,56,57,60,61,65,69,73,76,
%T A003658 77,85,88,89,92,93,97,101,104,105,109,113,120,124,129,133,136,137,140,
%U A003658 141,145,149,152,156,157,161,165,168,172,173,177,181,184,185,188,193
%N A003658 Fundamental discriminants of real quadratic fields; indices of primitive 
               positive Dirichlet L-series.
%C A003658 All the prime numbers in the set of positive fundamental discriminants 
               are Pythagorean primes (A002144). - Paul Muljadi (paulmuljadi(AT)yahoo.com), 
               Mar 28 2008
%D A003658 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A003658 H. Cohen, Course in Computational Alg. No. Theory, Springer, 1993, p. 
               505.
%D A003658 M. Pohst and Zassenhaus, Algorithmic Algebraic Number Theory, Cambridge 
               Univ. Press, page 432.
%D A003658 P. Ribenboim, Algebraic Numbers, Wiley, NY, 1972, p. 97.
%H A003658 T. D. Noe, <a href="b003658.txt">Table of n, a(n) for n=1..3001</a>
%H A003658 S. R. Finch, <a href="http://algo.inria.fr/bsolve/">Class number theory</
               a>
%H A003658 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 A003658 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               FundamentalDiscriminant.html">Fundamental Discriminant</a>
%H A003658 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               ClassNumber.html">Class Number</a>
%F A003658 Square-free numbers (multiplied by 4 if not = 1 mod 4).
%o A003658 (PARI) v=[]; for(n=1,500,if(isfundamental(n),v=concat(v,n))); v
%Y A003658 Cf. A003657.
%Y A003658 Cf. A002144.
%Y A003658 Sequence in context: A116602 A079896 A133315 this_sequence A003656 A003246 
               A143748
%Y A003658 Adjacent sequences: A003655 A003656 A003657 this_sequence A003659 A003660 
               A003661
%K A003658 nonn,easy,nice
%O A003658 1,2
%A A003658 N. J. A. Sloane (njas(AT)research.att.com), Mira Bernstein, Eric Weisstein 
               (eric(AT)weisstein.com)
%E A003658 More terms from Eric Weisstein (eric(AT)weisstein.com) and Jason Earls 
               (zevi_35711(AT)yahoo.com), Jun 19 2001

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