Total Nucleon-Nucleon Cross Section at Large Nc

It is shown that at sufficiently large N-c for incident momenta which are much larger than the QCD scale, the total nucleon-nucleon cross section is independent of incident momentum and given by delta(total) = 2 pi log(2)(N-c)/(m(pi)(2)). This result is valid in the extreme large N-c regime of log (N-c) >> 1 and has corrections of relative order log(log(Nc))/log(N-c)). A possible connection of this result to the Froissart-Martin bound is discussed.