Home > Just Math
Powerful Divisor (Posted on 20140501) 

Let us consider the expression M^{M}+1, where M is a positive integer.
It can be verified that M=3 is the least value for which 2^{2} divides M^{M}+1.
Given that n is a positive integer, find the least value of M (in terms of n) for which M^{M}+1 is divisible by 2^{n}.
Comments: (
You must be logged in to post comments.)


Please log in:
Forums (0)
Newest Problems
Random Problem
FAQ 
About This Site
Site Statistics
New Comments (2)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On
Chatterbox:
