Find the Sequence of Pseudorandom Numbers Generated by the Power $$x _ { n + 1 } = x _ { n } ^ { 3 } \bmod 23$$

Short Answer

Find the sequence of pseudorandom numbers generated by the power generator $$x _ { n + 1 } = x _ { n } ^ { 3 } \bmod 23$$ and seed
x0 = 3.
The numbers in question 130-133 refer to an 8-digit student id at a large university. The eighth digit is a
check digit equal to the sum of the first seven digits modulo 7.