Yes, you're right, and it's too late for me to either delete or edit my original post. :(
In light of that, I think the discussion and work revolves around discovering the smallest gap as the numbers themselves become larger and tend toward infinity. Obviously the very smallest prime gap is that between 2 and 3, i.e. 1, and there are a great number of primes separated by 2, and the Twin Prime Conjecture asserts that there will always be occasional pairs of primes separated by 2 no matter how large the numbers themselves become. The present work is in part meant to put that conjecture on a more analytical footing.
In light of that, I think the discussion and work revolves around discovering the smallest gap as the numbers themselves become larger and tend toward infinity. Obviously the very smallest prime gap is that between 2 and 3, i.e. 1, and there are a great number of primes separated by 2, and the Twin Prime Conjecture asserts that there will always be occasional pairs of primes separated by 2 no matter how large the numbers themselves become. The present work is in part meant to put that conjecture on a more analytical footing.
I would love to delete my original post.