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Sep 22, 2015 at 20:19 history edited Marco CC BY-SA 3.0
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Sep 22, 2015 at 18:18 comment added GH from MO The best known $\epsilon$ is $0.525$, see Baker-Harman-Pintz: The difference between consecutive primes, II, Proc. London Math. Soc. (3) 83 (2001) 532-562.
Sep 22, 2015 at 12:47 history answered Marco CC BY-SA 3.0