How thick does an atmosphere have to be in order to make the sky "light up" during "daytime" human or near human ocular sensitivity?

If a planet were to have a very thin atmosphere how thick or thin would it have to be to allow there to be a daytime and a nighttime given human or near human ocular sensitivity?

In other words, there should be no differentiation between day and night unless there's enough of an atmosphere to facilitate dispersion of the light and such. Is this true and if so, what's the boundary point of this?

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How thick does an atmosphere have to be in order to make the sky "light up" during "daytime" human or near human ocular sensitivity?

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