this post was submitted on 18 Aug 2023
1 points (100.0% liked)

math

269 readers
1 users here now

Interesting news and discussion centered around Mathematics

founded 1 year ago
MODERATORS
[email protected]
1
Is there an interesting set of natural numbers defined by a number-theoretic property that is finite? (lemmy.sdf.org)
submitted 1 year ago* (last edited 1 year ago) by [email protected] to c/[email protected]
3 comments fedilink hide all child comments
you are viewing a single comment's thread
view the rest of the comments
[–] [email protected] 0 points 8 months ago

The Heegner Numbers. These are the n such that ℚ[√-n] has unique factorisation. There are exactly 9 of them:

1, 2, 3, 7, 11, 19, 43, 67, 163.

A famous fact about them is that 163 being a Heegner Number leads to e^(π√163) being very close to a whole number.

262537412640768743.99999999999925…