Let be the number of distinct prime factors of . If tends steadily to infinity with , then

for almost all numbers . "almost all" means here the frequency of those integers in the interval for which

approaches 0 as .

Let be the number of distinct prime factors of . If tends steadily to infinity with , then

for almost all numbers . "almost all" means here the frequency of those integers in the interval for which

approaches 0 as .

Weisstein, Eric W. "Hardy-Ramanujan Theorem."
From *MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/Hardy-RamanujanTheorem.html