Another Good Number?

True or False?

If \( a^n - b^n \) is an integer for all natural \( n \) and distinct real numbers \( a,b \), then \( a \) and \( b \) must be integers.

Clarification: \( a^n - b^n \) must be an integer for all natural values of \( n \), not just a few values of \( n \).

×

Problem Loading...

Note Loading...

Set Loading...