  We consider a supersymmetric model of inflation in which the primordial
density fluctuations are nearly scale invariant (the spectral index n is
approximately 0.98) with amplitude proportional to (M/M_{Planck})^2, where M ~
10^{16} GeV denotes the scale of the gauge symmetry breaking associated with
inflation. The 60 or so e-foldings take place when all relevant scales are
close to M, which helps suppress supergravity corrections. The gravitino and
baryogenesis (via leptogenesis) constraints help determine the two heaviest
right handed neutrino masses to be approximately 2 x 10^{13} GeV and 6 x 10^9
GeV.
