At the heart of a liberal arts education, mathematics offers a solid foundation for students going into business, industry, the sciences, research, and technology. Hampden-Sydney's Mathematics department offers several majors to meet individual talents and interests including applied mathematics, computer science, and joint majors with economics and the natural sciences. The department has two laboratory classrooms that run Mathematica, MATLAB, Minitab, and Maple software as well as a variety of programming languages.
13 pirates find a treasure chest filled with gold coins. When they try to divide the coins evenly amongst themselves, there is one coin left over. In the ensuing fight over the last coin, one pirate is slain. When the 12 remaining pirates try to divide the coins evenly, there is still one coin left over. Once again the pirates fight and a pirate is slain. When the 11 surviving pirates try to divide the coins, they are relieved to discover that the coins can now be evenly divided. What is the smallest number of coins that could have been in the treasure chest?