@rviessman
This could either be bots indexing your site for legitimate reasons, or bots searching and probing your site for weaknesses such as out-of-date or vulnerable plugins/themes/Wordpress versions. Following the Hardening WordPress guidance will ensure your site is resilient to malicious attacks and is an excellent process to help understand WordPress security in greater depth. Installing a security plugin such as Wordfence or iThemes will allow you monitor and block persistent IP address that may be behaving suspiciously, or you can manually block these IP addresses/ranges through the .htaccess file.