Hello,

Let

Hence we know that

For to be equal to 17, 17 must be equal to one of the factors, let's say , because 17=17*1 is the only factorisation for 17.

So it means that the others factors are equal to 1, that is to say . Thus since all the other powers are 0. (this is an extra part lol)

Let's go back to the problem.

We want

This can be factorised :

But the only prime number that divides 16 is 2. Therefore .

Thus , which isimpossiblebecause the left hand side is an odd number and the right hand side is an even number.

We're done