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Apr 25, 2023 at 18:50 vote accept Andrej Leško
Apr 25, 2023 at 18:30 history edited Michael Hardy CC BY-SA 4.0
added 2 characters in body; edited title
Apr 25, 2023 at 17:14 history edited Pace Nielsen CC BY-SA 4.0
fixed math mode logs
Apr 25, 2023 at 17:09 answer added Pace Nielsen timeline score: 3
Apr 25, 2023 at 16:57 comment added kodlu please use $\log n$ etc, your equations look terrible
Apr 25, 2023 at 13:30 comment added Claude Chaunier I think @DaveBenson means we already know $p_{2n} \sim 2n\log(n) \sim 2n\log(p_n) < c 2n\log(p_n)$ for any $c>1$ and large enough $n$ depending on $c$. Something like what you stated as an introduction to your question. I don't see either how it could answer your question ($c=1$).
Apr 25, 2023 at 12:26 comment added Andrej Leško Sorry, could you be more explicit?,because i dont see the line of the proof betwen the asymptotic estimate and explicit inequality. Thank you.
Apr 25, 2023 at 10:23 comment added Dave Benson Since $p_n \sim n\log(n)$, your inequality is certainly true for large enough $n$.
Apr 25, 2023 at 9:52 history asked Andrej Leško CC BY-SA 4.0