We present a method for statistically detecting an amount of pulsars
in a cluster (47 Tucanae) that can not be individually resolved
because of their low flux. The method involves forming a low resolution
image of the core of a cluster, that has a beam that is matched with the expected
spatial distribution of pulsars, and so will see unresolved pulsars as
an extended component, and subtracting those pulsars that are in the
process of scintillating. From this, we find typically
Jy contributed from easily resolved pulsars, and another
from unresolved pulsars, suggesting there are 10 times as many
pulsars 10 times less luminous than the 4 visible on most days - ie, at
least 40 more pulsars in 47 Tuc.
