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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

%I #3 Aug 28 2021 06:37:41

%S 5,17,37,101,197,677

%N 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.

%D Gilles Lachaud, On real quadratic fields, Bull. Amer. Math. Soc., 17:2 (1987), 307-311. See Theorem 3.2.

%Y Cf. A003173, A003174, A014602, A050950.

%K nonn,fini,full

%O 1,1

%A _N. J. A. Sloane_, Aug 28 2021

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Last modified April 23 07:42 EDT 2024. Contains 371905 sequences. (Running on oeis4.)