Unsolved Problems in Number Theory

by Richard K. Guy

Mathematics is kept alive by the appearance of new unsolved problems, problems posed from within mathematics itself, and also from the increasing number of disciplines where mathematics is applied. This book provides a steady supply of easily understood, if not easily solved, problems which can be considered in varying depths by mathematicians at all levels of mathematical maturity.
For this new edition, the author has included new problems on symmetric and asymmetric primes, sums of higher powers, Diophantine m-tuples, and Conway's RATS and palindromes. The author has also included a useful new feature at the end of several of the lists of references to OEIS, Neil Sloane's Online Encyclopedia of Integer Sequences.
About the first "...many talented young mathematicians will write their first papers starting out from problems found in this book." András Sárközi, MathSciNet

Genres: Mathematics, Reference

Hardcover

First published November 1, 1981

Reviews

[Christopher Long · Rating 5 out of 5]

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!