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A048981 Square-free values of n for which the quadratic field Q[ Sqrt(n) ] is Euclidean. +0
3
-11, -7, -3, -2, -1, 2, 3, 5, 6, 7, 11, 13, 17, 19, 21, 29, 33, 37, 41, 57, 73 (list; graph; listen)
OFFSET

1,1

REFERENCES

H. Cohn, A Second Course in Number Theory, Wiley, NY, 1962, pp. 107, 109.

G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers. 3rd ed., Oxford Univ. Press, 1954, p. 213.

Inkeri, K. "Uber den Euklidischen Algorithmus in quadratischen Zahlk"orpern." Ann. Acad. Sci. Fennicae Ser. A. 1. Math.-Phys., No. 41, 1-35, 1947. [Incorrectly gives 97 as a member of this sequence.]

W. J. LeVeque, Topics in Number Theory. Addison-Wesley, Reading, MA, 2 vols., 1956, Vol. 2, p. 57.

P. Samuel, Unique factorization, Amer. Math. Monthly 75 (1968), 945-952.

H. M. Stark, An Introduction to Number Theory. Markham, Chicago, 1970, p. 294.

LINKS

A. Bogomolny, Strange Integers

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

Index entries for sequences related to quadratic fields

CROSSREFS

Cf. A003174.

Sequence in context: A010185 A005603 A109828 this_sequence A132361 A155914 A087896

Adjacent sequences: A048978 A048979 A048980 this_sequence A048982 A048983 A048984

KEYWORD

fini,sign,full

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Jud McCranie (j.mccranie(AT)comcast.net)

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Last modified November 24 23:16 EST 2009. Contains 167481 sequences.


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