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A347300
Under Hypothesis(H) (a version of the Generalized Riemann Hypothesis) the only principal real quadratic fields with discriminant d = r^2 + 1 == 1 (mod 4) are the fields Q(sqrt(t)) where t is one of the six numbers listed here.
0
5, 17, 37, 101, 197, 677
OFFSET
1,1
REFERENCES
Gilles Lachaud, On real quadratic fields, Bull. Amer. Math. Soc., 17:2 (1987), 307-311. See Theorem 3.2.
CROSSREFS
KEYWORD
nonn,fini,full
AUTHOR
N. J. A. Sloane, Aug 28 2021
STATUS
approved