Random number from a range in a Bash Script

I need to generate a random port number between 2000-65000 from a shell script. The problem is $RANDOM is a 15-bit number, so I’m stuck!

PORT=$(($RANDOM%63000+2001)) would work nicely if it wasn’t for the size limitation.

Does anyone have an example of how I can do this, maybe by extracting something from /dev/urandom and getting it within a range?

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