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| | Note on the Odd Perfect NumbersEasyChair Preprint 8121, version history|  |  | Version | Date | Pages | Version notes | 
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 | 1 | May 30, 2022 | 6 |  |  | 2 | May 31, 2022 | 7 | Set the proof as a possible conjecture. |  | 3 | June 1, 2022 | 9 |  |  | 4 | June 1, 2022 | 9 | Change the Theorem 2.1 by Lemma 2.1 |  | 5 | June 2, 2022 | 7 | We simplify the manuscript. |  | 6 | June 4, 2022 | 8 | We remove the extra conjecture as pre-condition. |  | 7 | June 6, 2022 | 8 |  |  | 8 | June 23, 2022 | 7 | Simplified the manuscript. |  | 9 | July 2, 2022 | 7 | We fixed a little detail. |  | 10 | July 15, 2022 | 8 |  | 
Keyphrases: Odd perfect numbers, Riemann hypothesis, Superabundant numbers, prime numbers, sum-of-divisors function | 
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