I must say, for a 23 year old who likes putting newbies in what he believes to be their place, you're pretty immature yourself. Checking people's profiles? "He's 18! He's allowed to use Sarcasm! Him? Naw, he's only 15, sheep like the rest!". Seriously, if you nee to prey on people younger than yourself to fuel that ego of yours, that's pretty sad. And your education? I could really care less. Just because you have good study skills and know how to listen/take notes in a lecture doesn't make you any better than, well, anyone. And last I checked, knowledge of a sci-fi universe does not set you a class above anyone else, either.
And since everyone seemed to be shooting off random weapons, I figured I'd add a Neutron Gun just as a little sort of a joke, but obviously, your "LEETZOR" mind couldn't comprehend that. My bad, I'll keep that in mind next time. Seriously, you've been acting like a child yourself, although, I refer back to my comment about your ego a paragraph up.
You want a more serious answer on what a minesweeper would use to destroy a mine? Fine, but other people had plenty of intelligent responses already. It would be likely in my opinion to use lasers to destroy the little buggers. Turreted Versions have ranges up around 8000 IIRC. With only a couple turrets an entire minefield, depending on size, could be cleared swiftly.
Also, in the words of Robin Peters, "Stop beating your chest, you're going to bruise it."