  The TeV blazar Markarian 421 underwent multi-TeV flaring during April 2004
and simultaneously observed in x-ray and TeV energies. It was observed that the
TeV outbursts had no counterparts in the lower energies, which implies that
this might be an orphan flare. In the context of hadronic model, we have shown
that this multi-TeV flaring can be produced due to the interaction of
Fermi-accelerated protons of energy $\lesssim 168$ TeV with the background
photons in the low energy tail of the synchrotron self-Compton spectrum of the
blazar jet. We fit very well the flaring spectrum with this model. Based on
this study, we speculate that Mrk 501 and PG 1553+113 are possible candidates
for orphan flaring in the future.
