Proving the Qu'ran wouldn't be easily done. You would need to prove every sentence.
Though I am unsure of fallacies in the Qu'ran (keep in mind, I do not know it all,) I do know of things that it has tought that are scientifically proven.
Off the top of my head, the development of a human. The Qu'ran talks about the stages of a fetus, and each one is correct - down to the average time.
It also says that a baby is not alive in the first part of the pregnancy, which is entirely true - no heart no brain, no existance.
It's the little things that matter.
Suppose you can't prove it wrong, theoretically you can't prove it right either. We aren't sure if science is right, either. So, theoretically, things in the Qu'ran could be wrong to modern knowledge, but maybe in 10, 20, 100, or even 1,000 years, we find out that WE were wrong. Science simply isn't solid enough to prove any book.