In this paper we study right $n$-Engel group elements. By modifying a group constructed by Newman and Nickel, we construct, for each integer $n\geq 5$, a 2-generator group $G =\langle a, b\rangle$ with the property that $b$ is a right $n$-Engel element but where $[b^k,_n a]$ is of infinite order when $k\notin \{0, 1\}$.
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