21-Feb-2012, 3:00 PM
Given he was talking about squares, I assume he goes up to 100. If the problem were to continue "for every number n from 3 to 100,, go through and toggle every locker that is a multiple of n", then the lockers open at the end would be lockers which are squares, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100.