For any integers with
the proportion of permutations in the symmetric group whose cyclic decompositions contain no cycles of lengths , , ..., is at most
(Erdős and Turán 1967, Dixon 1969).
For any integers with
the proportion of permutations in the symmetric group whose cyclic decompositions contain no cycles of lengths , , ..., is at most
(Erdős and Turán 1967, Dixon 1969).
Weisstein, Eric W. "Erdős-Turán Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Erdos-TuranTheorem.html