Abqmathteacher, the bounded gap theorem doesn’t say anything about the expected gap between primes at arbitrary places. http://www.onestopforseo.com/SEO-Tools.html One Stop for SEO . It just says that starting anywhere, if you keep searching upwards forever, you’ll eventually find a pair of primes separated by less than H. Remember H=4680 is just the best bound proved so far, but the problem inspiring all this work is actually to prove H=2. The expected gap at any particular place still gets arbitrarily large.

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