Prove that an integer n is a perfect square if and only if Ƭ (n) is odd.
You may want to explain what that T or $\displaystyle \Gamma$ symbol is. If it refers to the number of positive integer divisors of n (usually denoted d(n)), the statement is true. I doubt it would be a $\displaystyle \Gamma$ since it can easily get confused with the gamma function.