# Category:Square-Free Integers

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This category contains results about **integers which are square-free**.

Let $n \in \Z$.

Then $n$ is **square-free** if and only if $n$ has no divisor which is the square of a prime.

That is, if and only if the prime decomposition $n = {p_1}^{k_1} {p_2}^{k_2} \cdots {p_r}^{k_r}$ is such that:

- $\forall i: 1 \le i \le r: k_i = 1$

## Pages in category "Square-Free Integers"

The following 7 pages are in this category, out of 7 total.