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A006203 Discriminants of imaginary quadratic fields with class number 3 (negated).
(Formerly M5131)
+0
31
23, 31, 59, 83, 107, 139, 211, 283, 307, 331, 379, 499, 547, 643, 883, 907 (list; graph; listen)
OFFSET

1,1

COMMENT

Also n such that Q(sqrt(-n)) has class number 3.

REFERENCES

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

H. Cohen, Course in Computational Alg. No. Theory, Springer, 1993, p. 514.

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).

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

LINKS

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

Index entries for sequences related to quadratic fields

PROGRAM

For PARI code see A005847.

CROSSREFS

Cf. A013658, A014602, A014603, A046002, ..., A046020. Cf. also A003173, A005847, ...

Sequence in context: A064792 A030670 A030680 this_sequence A153635 A052160 A165985

Adjacent sequences: A006200 A006201 A006202 this_sequence A006204 A006205 A006206

KEYWORD

fini,nonn,full,nice

AUTHOR

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

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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