1. The problem statement, all variables and given/known data x is square free (not divisible by a perfect square) on Z 2. Relevant equations Z meaning all integers. 3. The attempt at a solution I did a similar problem earlier that asked for the expression for prime numbers on the Natural numbers domain. For that problem the product of a*b with a,b >1 never equaled a prime number. So for this problem I believe that all of the prime numbers are included in the square free I'm just not sure how to integrate this.