To install the official MySQL Connector for Python, please use the name mysql-connector-python:
pip install mysql-connector-python
Some further discussion, when we pip search for mysql-connector at this time (Nov, 2018), the most related results shown as follow:
$ pip search mysql-connector | grep ^mysql-connector
mysql-connector (2.1.6) - MySQL driver written in Python
mysql-connector-python (8.0.13) - MySQL driver written in Python
mysql-connector-repackaged (0.3.1) - MySQL driver written in Python
mysql-connector-async-dd (2.0.2) - mysql async connection
mysql-connector-python-rf (2.2.2) - MySQL driver written in Python
mysql-connector-python-dd (2.0.2) - MySQL driver written in Python
mysql-connector (2.1.6) is provided on PyPI when MySQL didn't provide their official pip install on PyPI at beginning (which was inconvenient). But it is a fork, and is stopped updating, so
pip install mysql-connector
will install this obsolete version.
And now mysql-connector-python (8.0.13) on PyPI is the official package maintained by MySQL, so this is the one we should install.