  The superconductor PdTe$_2$ was recently classified as a Type II Dirac
semimetal, and advocated to be an improved platform for topological
superconductivity. Here we report magnetic and transport measurements conducted
to determine the nature of the superconducting phase. Surprisingly, we find
that PdTe$_2$ is a Type I superconductor with $T_c = 1.64$ K and a critical
field $\mu_0 H_c (0) = 13.6$ mT. Our crystals also exhibit the intermediate
state as demonstrated by the differential paramagnetic effect. For $H > H_c$ we
observe superconductivity of the surface sheath. This calls for a close
examination of superconductivity in PdTe$_2$ in view of the presence of
topological surface states.
