Lets suppose someone with a super computer, such as china with their Tiahne-2, decide to start mining bitcoins. Wouldn't this one computer, doing 33 Petaflops/s, push everyone else out?
What do you think will happen if a bunch of super computer begin mining? would the public notice? Is this already happening?
What if someone hacked one and began using it to mine for themselves?
You mean CPU mine, with a supercomputer, with fabulous speed and thousands of cores? I have no idea if even a multi-core supercomputer could outmine an ASIC chip, but you'd think it'd do pretty good at least.
Somebody might be doing it. Somebody might have hacked one, and be doing it right now, how would we know?
In all honesty I imagine supercomputer time is more expensive than what you could make doing BtC, so you'd probably have to do it on the sly. From my little experience on supercomputers back in the 70's and 80's, you had to schedule time on them months in advance, I don't know if it's changed by now or not. Back then everything was batch processing, pretty much.
Interesting to speculate on, in any case.