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In this document, we will develop a new formula to calculate prime numbers and use it to discuss open problems like Goldbach, Polignac and Twin prime conjectures, perfect numbers, the existence of odd harmonic divisors, ...
Note: Some people found already errors in this document. I thank them for reporting them to me. Though, I am able to solve them, I deliberately want to keep these errors in the document for the time being to discourage error seekers from reading my papers. These people look at the details while missing the bigger picture.
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