A deeper result than the Hardy-Ramanujan Theorem. Let be the number of Integers in such that
inequality
References
Kac, M. Statistical Independence in Probability, Analysis and Number Theory. New York: Wiley, 1959.
Riesel, H. ``The Erdös-Kac Theorem.'' Prime Numbers and Computer Methods for Factorization, 2nd ed.
Boston, MA: Birkhäuser, pp. 158-159, 1994.