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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.

5, 17, 37, 101, 197, 677

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OFFSET

1,1

REFERENCES

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

LINKS

Table of n, a(n) for n=1..6.

CROSSREFS

Cf. A003173, A003174, A014602, A050950.

Sequence in context: A147204 A168024 A121326 * A212876 A147219 A146280

Adjacent sequences: A347297 A347298 A347299 * A347301 A347302 A347303

KEYWORD

nonn,fini,full

AUTHOR

N. J. A. Sloane, Aug 28 2021

STATUS

approved

URL: https://oeis.org/A347300

⇱ A347300 - OEIS