How do I show that $\displaystyle 2^{1996} \equiv 1 (mod$ $\displaystyle 1997)$ given 1996= (2^2)(499)? There's probably an easy way but I'm just not that smart.
How do I show that $\displaystyle 2^{1996} \equiv 1 (mod$ $\displaystyle 1997)$ given 1996= (2^2)(499)? There's probably an easy way but I'm just not that smart.