For a top quark mass fixed to its measured value, we find natural regions o
f minimal supergravity parameter space when all squarks, sleptons, and heav
y Higgs scalars have masses far above I TeV and are possibly beyond the rea
ch of the Large Hadron Collider at CERN. This result is simply understood i
n terms of "focus point" renormalization group behavior and holds in any su
pergravity theory with a universal scalar mass that is large relative to ot
her supersymmetry breaking parameters. We highlight the importance of the c
hoice of fundamental parameters for this conclusion and for naturalness dis
cussions in general.