Running python in command line without keeping the EC2 instance connect session open

I recently took an image for Ubuntu Linux server and it provided me access to command line via EC2 instance connect. I was able to start the python program that i wrote and it runs normally as expected. I want this to run without any interruption 24 X 7. The program is designed to run continuously.

When i close the browser session and reconnect again via EC2 instance connect, i do not see the python program running when i checked the ps aux command. I thought of running the python program as service but i am not able to do it due to restrictions with the permission in /var/run/.

Please provide the best option to address this.