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.
![fig20e](https://github.com/bookofproofs/bookofproofs.github.io/blob/main/_sources/_assets/images/euclid/Book09/fig20e.png?raw=true)
Modern Formulation
see infinite set of prime numbers.
Table of Contents
Proofs: 1
Mentioned in:
Lemmas: 1
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References
Bibliography
- 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"