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Timeline for Elementary + short + useful

Current License: CC BY-SA 4.0

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Jul 7 at 12:12 history edited Martin Sleziak CC BY-SA 4.0
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Dec 17, 2016 at 23:27 comment added Sylvain JULIEN Actually, this inequality allowed me to show that the quantity $ r_{0}(n) $ defined as $ \inf\{r\geqslant 0,(n-r,n+r)\in\mathbb{P}^{2}\} $ assuming Goldbach's conjecture, but definable unconditionnally as "the smallest potential primality radius of n" provided n is large enough, is an $O(\log^4 n)$, seemingly establishing asymptotic Goldbach conjecture. See my question 'About Goldbach's conjecture' on this site and my quite unrigorous blog ideasfornumbertheory.com. So yes, this inequality is useful and important.
Jan 10, 2016 at 6:05 comment added Douglas Zare This needs more self-contained elaboration.
Dec 3, 2011 at 19:37 history answered Jose Arnaldo Bebita CC BY-SA 3.0