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