Erdős–Kac theorem
THEOREM
Erdős-Kac theorem; Erdos-Kac theorem; Erdos–Kac theorem
In number theory, the Erdős–Kac theorem, named after Paul Erdős and Mark Kac, and also known as the fundamental theorem of probabilistic number theory, states that if ω(n) is the number of distinct prime factors of n, then, loosely speaking, the probability distribution of