The Smallest Gap Between PrimesEasyChair Preprint 9314, version historyVersion  Date  Pages  Version notes 

1  November 14, 2022  8   2  November 15, 2022  8  We fixed Proposition 4 since H_{4}(x) is strictly decreasing for large enough x.  3  November 16, 2022  8  We improved the Proof of Theorem 1.  4  January 3, 2023  8  We fix a formula in Lemma 2.  5  January 6, 2023  9  Improved the proof of Theorem 1  6  May 3, 2023  9  Fixed a flaw in one inequality.  7  May 15, 2023  9  We fixed some flawed details and changed the abstract.  8  June 15, 2023  9  We added the section Conclusions in order to finalize the manuscript and avoid future versions.  9  June 28, 2023  9  We improved the Proof of Theorem 1.  10  June 30, 2023  7  We capitalized the title and removed redundant content.  11  June 30, 2023  7  
Keyphrases: Prime Gap, Twin prime conjecture, prime numbers 
