Question

What is the remainder when 2001^2001 is divided by 26?

Answer 1

2001^2001=(2002-1)^2001
                  = 2002^2001 - M 2002 +1
                  = M 26 ^2001- M 26 +1
The remainder is 1

M26 is a multiple of 26

2002=26*77