Proposition: Prop. 9.20: Infinite Number of Primes
(Proposition 20 from Book 9 of Euclid's “Elements”)
The (set of all) prime numbers is more numerous than any assigned multitude of prime numbers.
* Let $A$, $B$, $C$ be the assigned prime numbers.
* I say that the (set of all) prime numbers is more numerous than $A$, $B$, $C$.
see infinite set of prime numbers.
Table of Contents
- Health, T.L.: "The Thirteen Books of Euclid's Elements - With Introduction and Commentary by T. L. Health", Cambridge at the University Press, 1968, Vol 1, 2, 3
Adapted from (subject to copyright, with kind permission)
- Fitzpatrick, Richard: Euclid's "Elements of Geometry"