Let’s define a new number system, where we represent a number by
the remainder we get on
dividing by successive primes, i.e., by 2, 3, 5, 7, 11, 13, 17,
etc. Thus, 15 might be represented as
[1,0,0], and 27 might be [1,0,2].
1.) What numbers do [1, 1, 1, 1] and [1, 2, 3, 4] represent? Are
the representations unique? What
other numbers might these lists represent?
2.) We know that 15 + 27 = 42. What is the...