Here's how you can install the Pepper flash player for Chromium in Linux Mint 17. Chromium does not include a flash player so it's necessary to install it yourself before being able to watch flash videos.
Please be sure that you already have Chromium installed before adding the Pepper flash player.
1. Open a terminal window.
2. Type in the following command then hit Enter:
sudo apt-get install pepperflashplugin-nonfree
3. If that command doesn't work, use this one to redo the install:
sudo dpkg-reconfigure pepperflashplugin-nonfree
According to Binary Tides:
Linux Mint 17 has been released and is named Qiana. Mint is one of the best linux distros that targets desktop users with focus on usability and simplicity. It comes in various flavors with different desktop environments like Mate and Cinnamon and different base distros like Ubuntu or Debian.More at Binary Tides
Additional Linux Mint resources