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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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