  One of the great attractions of minimal super-unified supersymmetric models
is the prediction of a massive, stable, weakly interacting particle (the
lightest supersymmetric partner, LSP) which can have the right relic abundance
to be a cold dark matter candidate. In this paper we investigate the identity,
mass, and properties of the LSP after requiring gauge coupling unification,
proper electroweak symmetry breaking, and numerous phenomenological
constraints. We then discuss the prospects for detecting the LSP from (1) LSP
annihilations into positrons, anti-protons, and gamma rays in the galactic
halo, (2) large underground arrays to detect upward going muons arising from
LSP capture and annihilation in the sun and earth, (3) elastic collisions on
matter in a table top apparatus, and (4) production of LSPs or decays into LSPs
at high energy colliders. Our conclusions are that space annihilation
experiments and large underground detectors are of limited help in initially
detecting the LSP although perhaps they could provide confirmation of a signal
seen in other experiments, while table top detectors have considerable
discovery potential. Colliders, however, might be the best dark matter
detectors of all.
