Sharif Quansah and Hayden Leroux won prizes for partial answers.

The problem: Calculate the remainder when 2^{3} is divided by 3

when 2^{5} is divided by 5

when 2^{7} is divided by 7

when 3^{5} is divided by 5

when 3^{7} is divided by 7

when 4^{5} is divided by 5 Continue reading