  The much-discussed \emph{Weak Gravity Conjecture} is interesting and
important in both the asymptotically flat and the asymptotically AdS contexts.
In the latter case, it is natural to ask what conditions it (and the closely
related Cosmic Censorship principle) imposes, via gauge-gravity duality, on the
boundary field theory. We find that these conditions take the form of lower
bounds on the number of colours in this theory: that is, the WGC and Censorship
might (depending on the actual sizes of the bounds) enforce the familiar
holographic injunction that this number should be "large". We explicitly
estimate lower bounds on this number in the case of the application of
holography to the quark-gluon plasma produced in heavy ion collisions. We find
that classical Censorship alone prohibits realistically small values for the
number of colours, but that the WGC offers hope of resolving this problem.
