Looking for example(s) of infinite abelian group $G$ , other than $\mathbb Q / \mathbb Z$, such that $\mathbb Z^+=\{o(g):g \in G\}$

Question

Give example of an infinite abelian group $G$ (if exists) , other than $\mathbb Q / \mathbb Z$ , such that $\mathbb Z^+=\{o(g):g \in G\}$ . Please help

Answer 1

$\oplus_{n=2}^\infty \mathbb Z / n\mathbb Z$