17 Nov
2016
17 Nov
'16
9:41 p.m.
On 18/11/2016 02:43, Ed Pegg Jr wrote:
The Heegner numbers are 1, 2, 3, 7, 11, 19, 43, 67, 163.
The ℚ(√−1) numbers are known as Gaussian integers. The ℚ(√−3) numbers are known as Eisenstein integers. The ℚ(√−7) numbers are known as Kleinian integers.
It's bugged me for awhile that ℚ(√−2) wasn't named. Today I decided that the obvious name was ...
The ℚ(√−2) numbers are now known as Hippasus integers.
Hippasus proved √2 was irrational. He was then murdered. Seemed like an apt name to use.
Surely √2 and √−2 are quite different things, just as different as √2 and √3. -- g