DISCRETE astronomical sources of photons in the TeV energy range are b
elieved to be associated with regions in the relativistic outflow of p
articles and radiation from compact objects, such as neutron stars and
black holes. The Bur from such sources, together with the timescales
on which they vary, can provide strong constraints on the emission mec
hanisms. Here we report the observation of two dramatic outbursts of T
eV photons from the active galaxy Markarian 421 (Mrk421). In the first
outburst, which had a doubling time of about one hour, the flux incre
ased above the relatively quiescent value by more than a factor of 50,
briefly making Mrk421 the brightest TeV source in the sky. In the sec
ond outburst, which lasted approximately 30 minutes, the flux increase
d by a factor of 20-25. These data suggest that the emission region is
extremely small-perhaps even smaller than our Solar System. This coul
d prove challenging for current theoretical models of such emissions.