A107999 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.

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, 1053, 1149, 1157, 1173, 1213, 1269, 1293, 1301, 1325, 1389, 1405, 1421, 1445, 1485, 1605, 1613, 1701, 1717

Offset

1,1

References

C. F. Gauss, Disquisitiones Arithmeticae, Yale Univ. Press, 1966, section 256 VI, pp. 276-277.

Links

Table of n, a(n) for n=1..49.

A. Cayley, Note sur l'équation x^2 - D*y^2 = +-4, D=5 (mod. 8), J. Reine Angew. Math. 53 (1857) 369-371.

S. R. Finch, Class number theory [Cached copy, with permission of the author]

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

Crossrefs

Cf. A048941, A048942, A107996, A108160.

Sequence in context: A139939 A159231 A180518 * A108160 A044224 A044605

Adjacent sequences: A107996 A107997 A107998 * A108000 A108001 A108002

Keyword

nonn

Author

Steven Finch, Jun 13 2005

Extensions

More terms from Jinyuan Wang, Sep 08 2021

Status

approved