Modify the application in Listing 7.2 that computes the nth prime number to instead compute the nth superperfect number. A superperfect number is one that has the property that the sum of its factors, excluding the number, is greater than the number itself. As an example, 12 is the first superperfect number because 1 + 2 + 3 + 4 + 6 =16 > 12.