Let fn be the number of solutions to xy 5 in mod n Figure o

Let f(n) be the number of solutions to xy = 5 in mod n. Figure out anything you can about this function.

Solution

There can be a large number of possible functions for f(n). The quetion is vividly unspecific.

Suppose, let the number of solutions to xy=5 be n. Then, f(n) = n. And this will always be positive. Again, we must understand that this tends to infinity.

The same function can have a number of possible outcomes, if n follows a different entity.