View Single Post
Old 2014-08-04, 18:26   #8
R.D. Silverman
 
R.D. Silverman's Avatar
 
Nov 2003

22·5·373 Posts
Default

Quote:
Originally Posted by CRGreathouse View Post
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.
R.D. Silverman is offline   Reply With Quote