During seder, a couple of days before I went out with her, my chavrusa informed me that he drew up plans for an adapter that would convert our TI-89s into MP3 players. (Keep in mind that when the TI-89 was first released it had about 1MB of memory available to the user.) Nothing, not even a pocket protector, is as cool as walking around college holding a TI-89 attached to a small box while listening to headphones attached to the box.
Then she asked me if, in my personal opinion, before Fermats Last Theorem was proven: did I think it would be proven or disproven. To be honest, I never spent too much time thinking about it but it was time to take her for a ride.
For the record, n = 6 gives 18,446,744,073,709,551,617 which is divisible by 274,177 and 67,280,421,310,721.