1,2

Could also be called Gauss numbers, since he discovered them. Heegner proved list is complete. - Artur Jasinski (grafix(AT)csl.pl), Mar 21 2003

n such that Q(sqrt(-n)) has unique factorization into primes.

J. H. Conway and R. K. Guy, The Book of Numbers, Copernicus Press, NY, 1996, p. 224.

G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers, 5th ed., Oxford Univ. Press, 1979, p. 213.

Heegner K., 1952. Diophantische Analysis und Modulfunktionen. Matematische Zeitschrift Vol. 56 p. 227-253. [From Artur Jasinski (grafix(AT)csl.pl), Oct 21 2008]

W. W. J. Hulsbergen, Conjectures in Arithmetic Algebraic Geometry, Vieweg, 1994, p. 8.

J. M. Masley, Where are the number fields with small class number?, pp. 221-242 of Number Theory Carbondale 1979, Lect. Notes Math. 751 (1982).

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

H. M. Stark, An Introduction to Number Theory. Markham, Chicago, 1970, p. 295.

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics. [Yes, 3 s's in that URL]

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

Index entries for sequences related to quadratic fields

Wikipedia, Heegner number

Cf. A014602 (for discriminants of these fields), A005847 (for class number 2).

Sequence in context: A079739 A158709 A055502 this_sequence A159262 A160434 A139630

Adjacent sequences: A003170 A003171 A003172 this_sequence A003174 A003175 A003176

fini,nonn,full,nice

N. J. A. Sloane (njas(AT)research.att.com).