Mathematics is kept alive by the appearance of new, unsolved problems. This book provides a steady supply of easily understood, if not easily solved, problems that can be considered in varying depths by mathematicians at all levels of mathematical maturity. This new edition features lists of references to OEIS, Neal Sloane’s Online Encyclopedia of Integer Sequences, at the end of several of the sections.
It's difficult to keep track of the important and/or interesting unsolved problems in any field, but number theory is particularly broad and deep. Richard Guy attempts to do the impossible and cover the unsolved problems of number theory, and he does it so well that this was *the* book I carried with me constantly as an undergraduate. Highly recommended for any person at any level looking for topics to think and wonder about. And, just maybe, solve!