IBM Research | Ponder This | February 2000 challenges
Skip to main content

Ponder This

February 2000

<<January February March>>

Ponder This Challenge:

Suppose C is a positive real number such that for all positive integers N it is true that (N raised to the C power) is an integer. Does C have to be an integer? Why or why not?

We will post the names of those who submit a correct, original solution! If you don't want your name posted then please include such a statement in your submission!

We invite visitors to our website to submit an elegant solution. Send your submission to the

If you have any problems you think we might enjoy, please send them in. All replies should be sent to:


Challenge: 02/01/00 @ 12:00AM EST
Solution: 03/01/00 12:00AM EST
List Updated: 04/01/00 12:00AM EST

People who answered correctly:

James B. Shearer (2.4.2000 @ 11:30 PM EST)

Attention: If your name is posted here and you wish it removed please send email to the