Unsolved Problems in Number Theory

  • Richard K. Guy

Part of the Problem Books in Mathematics book series (PBM, volume 1)

Table of contents

  1. Front Matter
    Pages i-xviii
  2. Richard K. Guy
    Pages 1-2
  3. Richard K. Guy
    Pages 3-69
  4. Richard K. Guy
    Pages 71-158
  5. Richard K. Guy
    Pages 159-208
  6. Richard K. Guy
    Pages 209-310
  7. Richard K. Guy
    Pages 311-364
  8. Richard K. Guy
    Pages 365-404
  9. Back Matter
    Pages 405-438

About this book



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


Mersenne prime Prime Prime number Zahlentheorie number theory

Authors and affiliations

  • Richard K. Guy
    • 1
  1. 1.Department of Mathematics and StatisticsUniversity of CalgaryCalgaryCanada

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag New York 2004
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4419-1928-1
  • Online ISBN 978-0-387-26677-0
  • Series Print ISSN 0941-3502
  • Buy this book on publisher's site