  In this letter, we derive analytically the scaling dimension of the Konishi
operator in planar N=4 gauge theory at strong coupling from the asymptotic
Bethe equations. The first two leading terms agree with the recent string
computation and numerical analysis of TBA equations. At the third order we find
spurious logarithm of the coupling constant, which should be absent in the
anomalous dimension of any finite operator of planar N=4 SYM theory. Showing
the cancelation of this term would provide an important test at strong coupling
for the recently proposed sets of TBA equations for planar AdS/CFT
correspondence.
