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Search: id:A107998
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| A107998 |
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Squarefree integers m for which the fundamental unit of Q(sqrt(m)) is of the form u + v*sqrt(m) for integer u, v. |
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+0
1
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| 2, 3, 6, 7, 10, 11, 14, 15, 17, 19, 22, 23, 26, 30, 31, 33, 34, 35, 37, 38, 39, 41, 42, 43, 46, 47, 51, 55, 57, 58, 59, 62, 65, 66, 67, 70, 71, 73, 74, 78, 79, 82, 83, 86, 87, 89, 91, 94, 95, 97, 101, 102, 103, 105, 106, 107, 110, 111, 113, 114, 115, 118, 119, 122, 123, 127
(list; graph; listen)
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OFFSET
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1,1
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REFERENCES
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F. Arndt, Beitrage zur Theorie der quadritischen Formen, Archiv der Mathematik und Physik 15 (1850) 467-478.
A. Cayley, Note sur l'equation x^2 - D*y^2 = +-4, D=5 (mod 8), J. Reine Angew. Math. 53 (1857) 369-371.
H. C. Williams, Eisenstein's problem and continued fractions, Utilitas Math. 37 (1990) 145-157.
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LINKS
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S. R. Finch, Class number theory
Eric Weisstein's World of Mathematics, Fundamental unit
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CROSSREFS
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Sequence in context: A006877 A085397 A073439 this_sequence A053438 A042964 A062837
Adjacent sequences: A107995 A107996 A107997 this_sequence A107999 A108000 A108001
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KEYWORD
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nonn
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AUTHOR
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S. R. Finch (Steven.Finch(AT)inria.fr), Jun 13 2005
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