Euclid:Proposition/VII/27

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Proposition

In the words of Euclid:

If two numbers be prime to one another, and each by multiplying itself make a certain number, the products will be prime to one another; and if the original numbers by multiplying the products make certain numbers, the latter will also be prime to one another [and this is always the case with the extremes].

(The Elements: Book $\text{VII}$: Proposition $27$)


Sources