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Questions related to permutations, bijections from a finite (or sometimes infinite) set to itself.
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Link between Irreducible Factors and Prime Factors (or Cycles of a Permutation)
In "Anatomy of Integers and Permutations", http://www.dms.umontreal.ca/~andrew/PDF/Anatomy.pdf, Granville gives a calibration of cycles of a permutation and prime factors of an integer. … "We know roughly one out of evert $\log x$ integers up to $x$ is a prime, and that exactly one in every $N$ permutations on $N$ elements is a cycle, so we could try to calibrate by replacing $N$ when we …