Proposition: 7.25: Square of Co-prime Number is Co-prime
Euclid's Formulation
If two numbers are prime to one another then the number created from (squaring) one of them will be prime to the remaining (number).
![fig25e](https://github.com/bookofproofs/bookofproofs.github.io/blob/main/_sources/_assets/images/euclid/Book07/fig25e.png?raw=true)
Modern Formulation
If $A$ and $B$ are co-prime, then $A^2$ and $B$ are co-prime.
Table of Contents
Proofs: 1
Mentioned in:
Proofs: 1 2
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References
Adapted from (subject to copyright, with kind permission)
- Fitzpatrick, Richard: Euclid's "Elements of Geometry"
Adapted from CC BY-SA 3.0 Sources:
- Prime.mover and others: "Pr∞fWiki", https://proofwiki.org/wiki/Main_Page, 2016