Comment by jsweojtj

This is exactly the question I was going to ask.

I wrote: > The leading digits of a uniform distribution does not follow Benford's law.

And @EGreg wrote: > I’m sorry to tell you this, but you inadvertently misled people with that empirical test. This just goes to show that we have to check our assumptions, as scientists or mathematicians trying to prove a statement. (Even with empirical tests :)

So, what specific range of the uniform distribution yields leading digits that follows Benford's law?