Unsolved Problems in Number Theory

✍ Scribed by Richard K. Guy (auth.)

• Publisher: Springer-Verlag New York
• Year: 2004
• Tongue: English
• Leaves: 454
• Series: Problem Books in Mathematics 1
• Edition: 3
• Category: Library

✦ Synopsis

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 sections: lists of references to OEIS, Neil Sloane’s Online Encyclopedia of Integer Sequences.

About the First Edition:

"…many talented young mathematicians will write their first papers starting out from problems found in this book."

- András Sárközi, MathSciNet

✦ Table of Contents

Front Matter....Pages i-xviii
Introduction....Pages 1-2
Prime Numbers....Pages 3-69
Divisibility....Pages 71-158
Additive Number Theory....Pages 159-208
Diophantine Equations....Pages 209-310
Sequences of Integers....Pages 311-364
None of the Above....Pages 365-404
Back Matter....Pages 405-438

✦ Subjects

Number Theory