A050950 - OEIS

%I #11 Aug 28 2021 06:28:10

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

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

%C 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

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

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

%H R. A. Mollin and H. C. Williams, <a href="http://projecteuclid.org/euclid.pja/1195512263">On a determination of real quadratic fields of class number one and related continued fraction period length less than 25</a>, Proc. Japan Acad. Ser. A Math. Sci. Volume 67, Number 1 (1991), 20-25. (cf. Table 3.1)

%Y Cf. A050950-A050969, A051962-A051965.

%K nonn,fini,full

%O 1,1

%A _N. J. A. Sloane_, Jan 04 2000