Complex numbers $a \ne 0$ and $b \ne 0$ such that for all positive integer $n$ the equality $a^{2017^n}+b^{2017^n}=1$ holds

Question

Are there complex numbers $a \ne 0$ and $b \ne 0$ such that for all positive integer $n$ the equality $a^{2017^n}+b^{2017^n}=1$ holds?

I tried “to guess” the numbers $a$ and $b$, but I didn’t succeed.