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Jan 14, 2012 at 6:44 comment added Dimitris Koukoulopoulos Also, the "normal order" of $\Omega(n)$ is $\log\log n$. This means that for every fixed $\epsilon>0$ the density $\\#\\{ n\le N:|\Omega(n)-\log\log n|\le\epsilon\log\log n\\}/N$ tends to 1 as $N\to\infty$. So, `with probability 1' $\Omega(n)$ lies in $[(1−\epsilon)\log\log n,(1+\epsilon)\log\log n]$.
Jan 11, 2012 at 22:27 comment added Will Jagy @Charles, thanks for the value of $B_2$
Jan 11, 2012 at 19:51 comment added Charles $B_2=1.0346538\ldots,$ see oeis.org/A083342.
Jan 1, 2012 at 18:49 vote accept David Spivak
Jan 1, 2012 at 0:57 history edited Will Jagy CC BY-SA 3.0
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Jan 1, 2012 at 0:49 history answered Will Jagy CC BY-SA 3.0