Logo

Greetings from The On-Line Encyclopedia of Integer Sequences!

Hints

Search: id:A003174
Displaying 1-1 of 1 results found. page 1
     Format: long | short | internal | text      Sort: relevance | references | number      Highlight: on | off
A003174 Real quadratic Euclidean fields (a finite sequence).
(Formerly M0619)
+0
4
2, 3, 5, 6, 7, 11, 13, 17, 19, 21, 29, 33, 37, 41, 57, 73 (list; graph; listen)
OFFSET

1,1

COMMENT

Real quadratic fields where the Euclidean algorithm applies.

REFERENCES

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

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

K. Inkeri, 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

S. R. Finch, Class number theory

Index entries for sequences related to quadratic fields

CROSSREFS

Cf. A003246, A048981.

Adjacent sequences: A003171 A003172 A003173 this_sequence A003175 A003176 A003177

Sequence in context: A073485 A062101 A096530 this_sequence A053813 A116974 A031402

KEYWORD

fini,nonn,full,nice

AUTHOR

njas

page 1

Search completed in 0.002 seconds

Lookup | Welcome | Find friends | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
More pages | Superseeker | Maintained by N. J. A. Sloane (njas@research.att.com)

Last modified May 16 01:24 EDT 2008. Contains 139630 sequences.


AT&T Labs Research