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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References
Adapted from (subject to copyright, with kind permission)
 Fitzpatrick, Richard: Euclid's "Elements of Geometry"
Adapted from CC BYSA 3.0 Sources:
 Prime.mover and others: "Pr∞fWiki", https://proofwiki.org/wiki/Main_Page, 2016