No, \(1^{127}=1\). 1 is not a prime number.
Why? To understand, let's make a definition for a prime number. A prime number is a whole number that has exactly two unique positive whole-numbered divisors.
Does 1 fit into this definition? No, it does not. To get one, you can multiply 1 and 1 together. 1 and 1 are not unique divisors. Therefore, 1 is not a prime number.