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Timeline for The lower bound for prime gaps

Current License: CC BY-SA 4.0

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May 12, 2023 at 18:19 comment added GH from MO @AndrejLeško As I said, $\frac{g_n}{\log g_n}\leq (2+o(1))\log n$ follows from $g_n>\left( \frac{p_{n+1}}{p_n}\right) ^{\frac{n}{2}}$. If you are not familiar with the $o(1)$ notation, it denotes an unspecified function tending to zero as $n\to\infty$. I don't think that $2+o(1)$ can be improved to $2$ here.
May 12, 2023 at 15:24 comment added Andrej Leško ADITIONAL QUESTION: Can $\frac{g_n}{\log{g_n}}<2\log{n}$,$ n\geq 5$ be deduced from $g_n>\left( \frac{p_{n+1}}{p_n}\right) ^{\frac{n}{2}} , n\geq 2$? The oposite is obvious.
May 12, 2023 at 13:37 vote accept Andrej Leško
May 11, 2023 at 20:43 history edited GH from MO CC BY-SA 4.0
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May 11, 2023 at 20:34 history edited GH from MO CC BY-SA 4.0
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May 11, 2023 at 20:28 history answered GH from MO CC BY-SA 4.0