Quote:
Originally Posted by R.D. Silverman
I would try to get a 2nd term (i.e. main term plus error term with effective constant) for the
ErdosKac thm.

Look what I found:
Persi Diaconis, Frederick Mosteller, Hironari Onishi, Secondorder terms for the variances and covariances of the number of prime factorsâ€”Including the square free case,
Journal of Number Theory 9:2 (May 1977), pp. 187202.