A050950 - OEIS

A050950

Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 1.

2, 5, 13, 29, 53, 173, 293

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OFFSET

1,1

COMMENTS

Theorem 3.1 of Lachaud (1987) says that under Hypothesis(H), which is a version of the Generalized Riemann Hypothesis, the only real quadratic fields with caliber one are the fields Q(sqrt(t)) where t is one of the seven numbers listed here. - N. J. A. Sloane, Aug 28 2021

REFERENCES

Gilles Lachaud, On real quadratic fields, Bull. Amer. Math. Soc., 17:2 (1987), 307-311.

R. A. Mollin, Quadratics, CRC Press, 1996, Appendix A.

LINKS

Table of n, a(n) for n=1..7.

R. A. Mollin and H. C. Williams, On a determination of real quadratic fields of class number one and related continued fraction period length less than 25, Proc. Japan Acad. Ser. A Math. Sci. Volume 67, Number 1 (1991), 20-25. (cf. Table 3.1)

CROSSREFS

Cf. A050950-A050969, A051962-A051965.

Sequence in context: A158708 A093702 A011756 * A259678 A218152 A079991

Adjacent sequences: A050947 A050948 A050949 * A050951 A050952 A050953

KEYWORD

nonn,fini,full

AUTHOR

N. J. A. Sloane, Jan 04 2000

STATUS

approved