>

--your formula agrees with Marek Wolf's formula at both its dominant and

> By heuristic arguments I arrived to the simple formula:

> Mean Maximum Gap in the neighborhood of N , MMG(N) = [Ln (N) - Ln Ln(N)]^2

> This formula represents very well the mean superior boundary of T.Oliveira's cloud of points.

first subdominant term, as can be shown using claims in

http://en.wikipedia.org/wiki/Prime-counting_function