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Is there a function f(x) that will give the average number of prime factors for x_1 0<x_1<x, in a way similar to the way that Li(x)/x gives the approximate odds that a number from 0 to x is prime?
Expected number of prime factors per number up to x = 1.03465388... + log log x.where would the constant go?
I didn't just derive it: the constant is well-known. It's B2, Sloane's http://www.research.att.com/~njas/sequences/A083342 [Broken].how did you arrive at this constant?