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Search: id:A003172
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| A003172 |
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Q(sqrt n) is a unique factorization domain (or simple quadratic field).
(Formerly M0618)
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+0
3
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| 2, 3, 5, 6, 7, 11, 13, 14, 17, 19, 21, 22, 23, 29, 31, 33, 37, 38, 41, 43, 46, 47, 53, 57, 59, 61, 62, 67, 69, 71, 73, 77, 83, 86, 89, 93, 94, 97, 101, 103, 107, 109, 113, 118, 127, 129, 131, 133, 134, 137, 139, 141, 149, 151, 157, 158, 161, 163, 166, 167, 173, 177, 179, 181
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Squarefree numbers n such that A003649 is 1. - T. D. Noe, Apr 02 2008
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REFERENCES
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Z. I. Borevich and I. R. Shafarevich, Number Theory. Academic Press, NY, 1966, pp. 422-423.
E. L. Ince, Cycles of Reduced Ideals in Quadratic Fields. British Association Mathematical Tables, Vol. 4, London, 1934. (See p. 1.)
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. 296.
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LINKS
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T. D. Noe, Table of n, a(n) for n=1..1000
Index entries for sequences related to quadratic fields
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CROSSREFS
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Sequence in context: A134669 A053328 A089633 this_sequence A053329 A098962 A073485
Adjacent sequences: A003169 A003170 A003171 this_sequence A003173 A003174 A003175
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KEYWORD
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nonn,nice
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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The table in Borevich and Shafarevich extends to 497.
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