Ask HN: What would you do if you had access to a supercomputer for a week?

Say one day you are told that you can get a whole week's access to a cheap supercomputer (think: 64-cores, 512GB RAM, 4TB space...not cloud computing) for FREE. Before that, you can do all your planning, designing, write code, etc. What would you do?

(for your startup, for mankind, for fun, etc...)