Find all 3 digit numbers such that by adding the first digit, the
square of the second and the cube of the third you get the original
number, for example 1 + 3^2 + 5^3 = 135.
Find all the triples of numbers a, b, c such that each one of them
plus the product of the other two is always 2.
This is a beautiful result involving a parabola and parallels.