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A107996 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 odd. +0
1
5, 13, 21, 29, 45, 53, 61, 69, 77, 85, 93, 109, 117, 125, 133, 149, 157, 165, 173, 181, 205, 213, 221, 229, 237, 245, 253, 261, 277, 285, 293, 301, 309, 317, 341, 357, 365, 397, 413, 421, 429, 437, 445, 453, 461, 469, 477, 493, 501, 509, 517, 525, 533, 541 (list; graph; listen)
OFFSET

1,1

REFERENCES

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.

N. Ishii, P. Kaplan and K. S. Williams, On Eisenstein's problem, Acta Arith. 54 (1990) 323-345.

LINKS

S. R. Finch, Class number theory

CROSSREFS

Sequence in context: A007675 A043441 A004770 this_sequence A107997 A065766 A034170

Adjacent sequences: A107993 A107994 A107995 this_sequence A107997 A107998 A107999

KEYWORD

nonn

AUTHOR

S. R. Finch (Steven.Finch(AT)inria.fr), Jun 13 2005

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Last modified November 30 22:12 EST 2008. Contains 150989 sequences.


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