The resistivity of the Kondo insulator CeRhSb has been measured from 1
.8 K to room temperature under hydrostatic pressures up to 23 kbar. Th
e characteristic temperature for the valence fluctuations and the gap
energy at low temperature increase with increasing pressure. The magne
toresistance has also been measured under various pressures at 4.2 K.
The magnetoresistance is large and positive under some pressures up to
23 kbar to magnetic fields below 5 T.