Help how to do this
Cai writes down the list of positive integers, excluding squares and cubes and all perfect powers. His sequence starts 2, 3, 5, 6, 7, 10, 11, ... What is the 100th term in Cai's list?
https://math.stackexchange.com/questions/2535687/2-3-5-6-7-10-11-counting-with-restrictions may help