  Production of (electrically neutral) heavy-quark pairs, such as t{\bar c} and
{\bar t}c, is extremely suppressed in the SM. In supersymmetric (SUSY)
theories, such as the MSSM, the number of these events can be significantly
enhanced thanks (mainly) to the FCNC couplings of gluinos. We compute the
efficiency of this mechanism for FCNC production of heavy quarks at the LHC. We
find that \sigma (pp\to t\bar{c}+\bar{t}c) can reach 1 pb, and therefore one
can expect up to 10^{5} events per 100 fb^{-1} of integrated luminosity (with
no counterpart in the SM). Their detection would be instant evidence of new
physics, and could be a strong indication of underlying SUSY dynamics.
