A Note on the Number of Permutations whose Cycle Lengths Are Prime Numbers

Ljuben Mutafchiev

Let $A$ be a set of natural numbers and let $S_{n,A}$ be the set of all permutations of $[n]=\{1,2,...,n\}$ with cycle lengths belonging to $A$. For $A(n)=A\cap [n]$, the limit $ρ=…