What Is the Probability That a Random Integer from 1 to 1000 Is a Perfect Power?

The work week is wrapping up, and that means it’s the perfect time to step back, clear your head, and think about something beautiful. And what could be better than a solid weekend math problem?

This Weekend’s Perfect Powers Probability Challenge

What is the probability that a randomly chosen integer from 1 to 1000 is a perfect power — that is, a power greater than the first of some integer?

Share Your Answer

Drop your solutions in the comments. The answer will be revealed on Sunday.