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Does that have to do with log(n)/n and the Riemann-Zeta function?

Oops, n/log(n)

mathmate, your approximation is fairly close!

For corroboration, I wrote this: http://ideone.com/qoDbe
I am now trying an analytical approach.

Can you elaborate on your analytical approach, or is it proprietary?

That made me want to go back and recheck the code. ^^

wow.....

Code looks good except comparison to 1.

btw - why picture change?