Find and remove core files

wow, that's needlessly complicated and inefficient.  This is better:

find . -name "core.*" | xargs rm -f

How about that?
find . -type f -regex '.*/core\.?[0-9]*$' -ls -exec rm -f {} \;

or

find . -type f -regex '.*/core\.?[0-9]*$' -delete

You may want to try it without the rm first or use rm -i because there could be files that match the description that are not core dump files. It finds a lot of SVN files when I just have it print results.