Achilles number (source code)

= Achilles number
{c}

= Achilles
{c}
{synonym}

A <powerful number> that is not a <perfect power>. If $n=\prod_i p_i^{e_i}$ is its <prime factorization>, the conditions are $e_i\ge2$ for every $i$ and $\gcd(e_1,\ldots,e_k)=1$.