keep server alive after closing command prompt (with forever or forever-monitor)

I'm using Amazon WS to test some rudimentary nodejs server. The problem I'm having is that when I close the putty command prompt on my PC, that I can not reach the server anymore with a browser.

Ive read about forever and forever-monitor. I'n not sure why the script must be restarted constantly, but ok let's assume it must.

I'm using both

forever "/home/ec2-user/myApp.js"

and

node "/home/ec2-user/foreverMonitor.js"

(The latter has the myApp.js reference in the foreverMonitor.js file. Similar to Where place forever-monitor code?.)

Both do start the server, but when I close putty, both also let the server die.

What am I missing here?