Distribution of ultra-wide pair fraction as a function of separation in the three main Taurus filaments (i.e., for stars enclosed within W_in, solid blue histogram) versus pair fraction of random mutual pairs (obtained from 10 000 Monte Carlo samplings, thick black histogram) and 1-NNS fraction of non-mutual pairs (dashed blue histogram). The solid blue line represent a log-normal fit to the distribution of non-mutual pairs in Taurus. The distribution of mutual pairs of Taurus does not result from a random process (p-value of 10^-16), and is statistically different from non-mutual pairs distribution in Taurus (p-value of 10^-14). Conversely, the 1-NNS distribution of non-mutual pairs in Taurus is reasonably well fitted (p-value of 0.2) by a long-normal function, with a mean value μ = 4.74 ± 0.04 and a standard deviation σ = 0.46 ± 0.03.