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2014-08-04, 18:26   #8
R.D. Silverman

Nov 2003

22·5·373 Posts

Quote:
 Originally Posted by CRGreathouse Using $\omega(n)$ (to avoid the extra variability from the small primes that $\Omega$ brings) and searching an interval around 1020 I find This supports the intuition that Landau is better for small numbers of prime factors and Erdős-Kac better for large. In this case the crossover is surprisingly large (8 prime factors) but neither estimate is particularly accurate.
I would not expect it to be for composites that are only 20 digits.