Is it possible to play Amazon Prime/Instant video over my tv... [View all]

...using the Apple video adapter and an HDMI cable? We've been very happy with this method using my old iPhone and wifi to play NETFLIX video. Just play it on the phone and it shows up on the television. But Amazon won't do this. It won't even play on my Mac, even after installing Silverlight (ugh). The Amazon Instant Play/Prime content will play directly on the phone or iPad, but the video is not transferred to the television. I'm assuming it's just Amazon, but maybe someone knows a different solution. Thanks!