How can I copy and move a sequential subset of files?

I have a directory containing 1772 files named PRC0001, PRC002,... up to PRC1772.

How can I copy a subset, for example PRC0257 to PRC1516 to a different directory? I am trying to do this for several groups of these files, though all groups begin at a given number and continue sequentially to the last item in that group.

I am trying to do this with a bash shell script and parameter.txt file...