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Valid Elementary Proof of the Bertrand-Chebyshev Theorem/Bertrand's Postulate? [closed]
$\textbf{Theorem}$ (Bertrand-Chebyshev theorem/Bertrand's postulate): For all integers $n\geq 2$, there exists an odd prime number $p\geq 3$ satisfying $n<p<2n$.
$\textit{Proof }$: For $n=2$, we ...
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I am trying to find the maximum gap between any prime and the nearest prime (whether smaller or bigger)?
I am trying to find the maximum gap between any prime and the nearest prime number (whether smaller or bigger)? Here is what I have:
Assuming: I don’t know whether any of the multiples that are ...