books.google.com - The investigation of three problems, perfect numbers, periodic decimals, and Pythagorean numbers, has given rise to much of elementary number theory. In this book, Daniel Shanks, past editor of Mathematics of Computation, shows how each result leads to further results and conjectures. The outcome is...http://books.google.com/books/about/Solved_and_Unsolved_Problems_in_Number_T.html?id=KjhM9pZEGCkC&q=%22It+seems+unlikely+that+(most)+number-theorists+will+accept+this%22&utm_source=gb-gplus-shareSolved and Unsolved Problems in Number Theory