Copyright © University of Cambridge. All rights reserved.

'Equal Length Powers' printed from http://nrich.maths.org/

Show menu

See all short problems arranged by curriculum topic in the short problems collection

How many positive integers $n$ exist for which $n^2$ has the same number of digits as $n^3$?

If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.

 

 

This problem is taken from the UKMT Mathematical Challenges.