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. fig32e

Modern Formulation

see natural numbers and products of prime numbers.

Proofs: 1


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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