keyless remote corvette

Hello,
I have a 2001 corvette and the keyless remotes seem to quit working after about 36 hrs. They will re synchronize if I push the lock and unlock at the same time. The body control module has been replaced and both remotes have had batteries replaced and were reprogrammed into the system by the dealership. They work fine if they are used everyday but since this is a one or 2 day a week driver I noticed this problem. Once they are re=synched they work perfectly again up until the car sits for a
couple of days? any ideas or help ? thanks Gil

Make sure your battery terminals on the car are clean and corrossion free. The GM keyless system code jumps everytime it is used to prevent cloning of your remotes. Your battery may be losing contact briefly while it is sitting and making them have to re- sync.