Date: 2016-11-17 18:43 From: Ed Pegg Jr <ed@mathpuzzle.com> 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. I calculated the nine types of Heegner primes and plotted them out. http://community.wolfram.com/groups/-/m/t/965609 Anyone agree / disagree about calling ℚ(√−2) the Hippasus integers? Ed Pegg Jr --------------- His assailants probably didn't kill him for proving √2 irrational, but rather for taunting them for being unable to state the numerator and denominator. --rwg