  We analyze focus points in supersymmetric theories, where a parameter's
renormalization group trajectories meet for a family of ultraviolet boundary
conditions. We show that in a class of models including minimal supergravity,
the up-type Higgs mass has a focus point at the weak scale, where its value is
highly insensitive to the universal scalar mass. As a result, scalar masses as
large as 2 to 3 TeV are consistent with naturalness, and {\em all} squarks,
sleptons and heavy Higgs scalars may be beyond the discovery reaches of the
Large Hadron Collider and proposed linear colliders. Gaugino and Higgsino
masses are, however, still constrained to be near the weak scale. The focus
point behavior is remarkably robust, holding for both moderate and large
\tan\beta, any weak scale gaugino masses and A parameters, variations in the
top quark mass within experimental bounds, and for large variations in the
boundary condition scale.
