◀ ▲ ▶Branches / Geometry / Elements-euclid / Book--7-elementary-number-theory / Proposition: 7.32: Natural Number is Prime or has Prime Factor

Proposition: 7.32: Natural Number is Prime or has Prime Factor

(Proposition 32 from Book 7 of Euclid's “Elements”)

Every number is either prime or is measured by some prime number.

• Let $A$ be a number.
• I say that $A$ is either prime or is measured by some prime number.

Modern Formulation

see natural numbers and products of prime numbers.

Table of Contents

Proofs: 1

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@Fitzpatrick

References

Adapted from (subject to copyright, with kind permission)

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

Adapted from CC BY-SA 3.0 Sources:

1. Prime.mover and others: "Pr∞fWiki", https://proofwiki.org/wiki/Main_Page, 2016