DTC P0603 & P0605: Pcm Memory Error: Condition
WARNING: This page is about a different car, the 2002 Mazda 626. However, it is still accessible from the selected car via links, so may be relevant.
DTC P0603 is set when Powertrain Control Module (PCM) Keep Alive Memory (KAM) is in error. DTC P0605 is set when Powertrain Control Module (PCM) Read Only Memory (ROM) is in error. Possible cause is PCM malfunction.