How can you tell if 84537 is divisible by 9? Why does this rule work? Can you determine what the units digit of $$3^{371}$$ is in under 5 seconds? Why can prime factorization be useful? By definition, number theory is the study integers. This may sound simple, but many of the unsolved problems in mathematics are related to number theory. Carl Friedrich Gauss, one of the greatest mathematicians in history, once said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics." In this class, we hope to give you a glimpse into the fascinating field of number theory.