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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 $A$, $B$, $C$.

Modern Formulation

see infinite set of prime numbers.

Table of Contents

Proofs: 1

Mentioned in:

Lemmas: 1

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References

Bibliography

1. 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)

1. Fitzpatrick, Richard: Euclid's "Elements of Geometry"