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Solved and Unsolved Problems in Number Theory is written by Daniel Shanks and published by American Mathematical Soc.. It's available with International Standard Book Number or ISBN identification 082182824X (ISBN 10) and 9780821828243 (ISBN 13).
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 a most exciting and unusual treatment. This edition contains a new chapter presenting research done between 1962 and 1978, emphasizing results that were achieved with the help of computers.