From: "Mark Underwood" <mark.underwood@...>

The largest gap possible is apparently (I forgot where I read this)

the square of the expected gap. The square of 41.23 is about 1700,

and so 1442 is safely within the bounds. The universe is saved from

primal unruliness yet again.

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Well, I think that what is conjectured is that the gap for p_n is bounded by M times (ln

n)^2, where M is an undetermined constant ( If I remember correctly, in big o notation it

reads p_n = O(ln^2 n) )

http://mathworld.wolfram.com/Cramer-GranvilleConjecture.html

I also think to have read that if RH is true, then M = 1. Not very truthful info, though.

Regards. Jose Brox