  Using cosmological simulations, we make predictions for the distribution of
clusters in a plausible non-gaussian model where primordial voids nucleated
during inflation act together with scale-invariant adiabatic gaussian
fluctuations as seeds for the formation of large-scale structure. This model
agrees with most recent observations of the anisotropies of the cosmic
microwave background (CMB) and can account for the excess of power measured on
cluster scales by the Cosmic Background Imager (CBI), the large empty regions
apparent in nearby galaxy redshift surveys and the number of giant arcs
measured in deep cluster lensing surveys. We show that the z=0 cluster mass
function differs from predictions for a standard LCDM cosmology with the same
sigma_8. Moreover, as massive clusters also form much earlier in the "void"
scenario, we show that integrated number counts of SZ sources and simple
statistics of strong lensing can easily falsify this model.
