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May 25, 2016 at 21:48 comment added user76479 For a typical $p$ for which $m,\overline m\leq\sqrt p(\log g)^c$ is possible how many such pairs of $m,\overline m$ do you expect?
Nov 26, 2014 at 15:02 comment added Dimitris Koukoulopoulos Igor Shparlinski has kindly informed me of some results of very similar flavour that were obtained in math.uiuc.edu/~ford/wwwpapers/fksy.pdf and in math.uiuc.edu/~ford/wwwpapers/Invers-Geom.pdf. There the authors study the quantity $M(n):=\max\{|a-b|:1\le a,b<n,\ ab\equiv1 \pmod n\}$.
Nov 26, 2014 at 2:12 history edited Dimitris Koukoulopoulos CC BY-SA 3.0
Explained that Zhang's result is needed to control the distribution of divisors of $1+kp$.
Nov 26, 2014 at 0:00 history answered Dimitris Koukoulopoulos CC BY-SA 3.0