Number Theory

   

Explicit Upper Bound for all Prime Gaps

Authors: Derek Tucker

Let p_s denote the greatest prime with squared value less than a given number. We call the interval from one prime’s square to the next, a prime’s season. By improving on the well known proof of arbitrarily large prime gaps, here we show that for all seasons, the upper bound of prime gap length is 〖2p〗_s.

Comments: 3 Pages.

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Submission history

[v1] 2019-09-23 16:00:16

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