perplexus.info :: Just Math : Power and Digit Poser

Power and Digit Poser (Posted on 2015-12-23)

Find all possible pairs (M,N) of positive integers such that 10^{N^2} contains precisely
N*M - M digits.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

(M, N)= (5,2), (5,3)
For an explanation:
Refer to the solution submitted by Charlie in this location.
Refer to the solution submitted by Steve Herman in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Analytical solution	Steve Herman	2015-12-23 11:34:48
solution	Charlie	2015-12-23 11:01:08

Please log in:

Login:
Password:
Remember me:

Sign up! \| Forgot password

Search:

Search body:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (5)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info