A REMARK OF SOME IMAGINARY QUADRATIC FIELDS WITH ODD CLASS NUMBERS
A REMARK OF SOME IMAGINARY QUADRATIC FIELDS WITH ODD CLASS NUMBERS
Let D be a square-free positive integer and let <TEX>$K_D=\mathbb{Q}(\sqrt{-D})$</TEX> be the imaginary quadratic field. And let <TEX>$h_D$</TEX> be the class number of the number field <TEX>$K_D$</TEX>. In this paper, we show the following: If D=l or 4l, where l is a prime number with <TEX>$l{\equiv}3$</TEX> (mod 4), then <TEX>$h_D$</TEX> …