Timeline for Is there some numerical evidence that $ \pi(x+x^{1/e})-\pi(x)\geq 1 $ for any large enough $ x $?
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4 events
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Jul 6, 2018 at 22:42 | comment | added | Sylvain JULIEN | @Wojowu : the article I mention states that on assumption of RH and MC you can get an $o(\sqrt{x\log x})$. I guess MC refers to Montgomery pair correlation conjecture, can you confirm it ? | |
Jul 6, 2018 at 19:23 | comment | added | Wojowu | I guess it's worth noting even with RH you can't push it much further - at best to $O(x^{1/2}\log x)$, so even $O(x^{1/2})$ would be be a significant achievement! | |
Jul 6, 2018 at 19:06 | vote | accept | Sylvain JULIEN | ||
Jul 6, 2018 at 18:55 | history | answered | Steven Stadnicki | CC BY-SA 4.0 |