  Gamma Ray Bursts (GRBs) have been proposed as one {\it possible} class of
sources of the Ultrahigh Energy Cosmic Ray (UHECR) events observed up to
energies $\gsim10^{20}\ev$. The synchrotron radiation of the highest energy
protons accelerated within the GRB source should produce gamma rays up to TeV
energies. Here we briefly discuss the implications on the energetics of the GRB
from the point of view of the detectability of the prompt TeV gamma rays of
proton-synchrotron origin in GRBs in the up-coming ICECUBE muon detector in the
south pole.
