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Definition: 7.12: Co-prime (Relatively Prime) Numbers

(Definition 12 from Book 7 of Euclid's “Elements”)

Numbers prime to one another are those (which are) measured by a unit alone as a common measure.

Modern Formulation

see coprimality.

Mentioned in:

Proofs: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32
Propositions: 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51

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References

Bibliography

1. Landau, Edmund: "Vorlesungen über Zahlentheorie, Aus der Elementaren Zahlentheorie", S. Hirzel, Leipzig, 1927

Adapted from (subject to copyright, with kind permission)

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