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Proposition: 7.29: Prime not Divisor implies Co-prime

(Proposition 29 from Book 7 of Euclid's “Elements”)

Every prime number is prime to every number which it does not measure.

fig29e

Modern Formulation

see co-prime primes.

Proofs: 1

Proofs: 1 2 3


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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