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Search: id:A107999
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| A107999 |
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Integers m congruent to 5 modulo 8 such that the minimal solution of the Pell equation x^2 - m*y^2 = +-4 has both x and y even. |
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+0
1
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| 37, 101, 141, 189, 197, 269, 325, 333, 349, 373, 381, 389, 405, 485, 557, 573, 677, 701, 709, 757, 781, 813, 829, 877, 885, 901, 909, 925, 933, 973, 997
(list; graph; listen)
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OFFSET
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1,1
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REFERENCES
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C. F. Gauss, Disquisitiones Arithmeticae, Yale Univ. Press, 1966, section 256 VI, pp. 276-277.
A. Cayley, Note sur l'equation x^2 - D*y^2 = +-4, D=5 (mod 8), J. Reine Angew. Math. 53 (1857) 369-371.
N. Ishii, P. Kaplan and K. S. Williams, On Eisenstein's problem, Acta Arith. 54 (1990) 323-345.
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LINKS
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S. R. Finch, Class number theory
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CROSSREFS
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Adjacent sequences: A107996 A107997 A107998 this_sequence A108000 A108001 A108002
Sequence in context: A098025 A142793 A139939 this_sequence A108160 A044224 A044605
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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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