screen
screen is like 'open me a virtual terminal that I can detach from, then re-attach to later'. You use it for long-running processes when you want to disconnect from the box.
You start a screen by entering the command screen (and press enter to clear the first message). Now you are in a new session. Run what you like. You can & it if you like, but I would recommend not as you can then re-connect later to see the output and Ctrl+C if you want to stop it.
To detach a screen, hold Ctrl then press A and D one after the other. Not Ctrl+A+D, but separate A and D presses, while holding Ctrl.
Now you are back in your old shell. You can now safely disconnect and your task will keep on running. To re-attach later, enter the command screen -r and you will get back in. Once you are finished, use exit to exit the screen session and drop back to your old shell.
Read the man pages about it, as you can open multiple screens at once, name them and reconnect to named sessions. It's quite powerful.