A218158 Fundamental discriminants of real quadratic number fields with class number 8.

904, 1596, 1705, 1768, 1785, 2584, 2605, 2705, 3081, 3196, 3201, 3480, 3640, 3976, 4092, 4161, 4305, 4488, 4620, 4669, 4956, 5160, 5196, 5249, 5305, 5404, 5513, 5713, 5772, 5784, 5865, 6360, 6409, 6565, 6757, 6953, 6972, 7449, 7585, 7656, 7788, 7833, 7980, 8005

Offset: 1

Author

Arkadiusz Wesolowski, Oct 22 2012

Keywords

• nonn

Links

• Victor Y. Wang, On Hilbert 2-class fields and 2-towers of imaginary quadratic number fields, arXiv preprint arXiv:1508.06552, 2015
• Eric Weisstein's World of Mathematics, Class Number
• Index entries for sequences related to quadratic fields

Crossrefs

Cf. A003656, A094619, A094612-A094614, A218156-A218157, A218159-A218160.

Programs

Mathematica

Select[Range[8005], NumberFieldDiscriminant@Sqrt[#] == # && NumberFieldClassNumber@Sqrt[#] == 8 &]