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The Book of Prime Number Records

  • Book
  • © 1989

Overview

Authors:
  1. Paulo Ribenboim

    1. Department of Mathematics and Statistics, Queen’s University, Kingston, Canada

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-xxiii
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  2. Introduction

    • Paulo Ribenboim
    Pages 1-2

  3. How Many Prime Numbers are There?

    • Paulo Ribenboim
    Pages 3-12

  4. How to Recognize Whether a Natural Number is a Prime?

    • Paulo Ribenboim
    Pages 13-128

  5. Are There Functions Defining Prime Numbers?

    • Paulo Ribenboim
    Pages 129-152

  6. How are the Prime Numbers Distributed?

    • Paulo Ribenboim
    Pages 153-254

  7. Which Special Kinds of Primes have been Considered?

    • Paulo Ribenboim
    Pages 255-290

  8. Heuristic and Probabilistic Results about Prime Numbers

    • Paulo Ribenboim
    Pages 291-345

  9. Conclusion

    • Paulo Ribenboim
    Pages 347-353

  10. Back Matter

    Pages 355-479
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Keywords

About this book

This text originated as a lecture delivered November 20, 1984, at Queen's University, in the undergraduate colloquim series established to honor Professors A. J. Coleman and H. W. Ellis and to acknow­ ledge their long lasting interest in the quality of teaching under­ graduate students. In another colloquim lecture, my colleague Morris Orzech, who had consulted the latest edition of the Guilllless Book oj Records, remainded me very gently that the most "innumerate" people of the world are of a certain tribe in Mato Grosso, Brazil. They do not even have a word to express the number "two" or the concept of plurality. "Yes Morris, I'm from Brazil, but my book will contain numbers different from 'one.' " He added that the most boring 800-page book is by two Japanese mathematicians (whom I'll not name), and consists of about 16 million digits of the number 11. "I assure you Morris, that in spite of the beauty of the apparent randomness of the decimal digits of 11, I'll be sure that my text will include also some words." Acknowledgment. The manuscript of this book was prepared on the word processor by Linda Nuttall. I wish to express my appreciation for the great care, speed, and competence of her work.

Reviews

Third Edition

P. Ribenboim

The New Book of Prime Number Records

"A number-theoretical version of the Guinness Book of Records . . . There is much mathematics to be found in these pages. These are records given here as well. This book is written with much wit. Experts may not find much that is new, but it is always worthwhile to view the history of a subject as a whole rather than a collection of isolated results."—MATHEMATICAL REVIEWS

Authors and Affiliations

  • Department of Mathematics and Statistics, Queen’s University, Kingston, Canada

    Paulo Ribenboim

Bibliographic Information

  • Book Title: The Book of Prime Number Records

  • Authors: Paulo Ribenboim

  • DOI: https://doi.org/10.1007/978-1-4684-0507-1

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York Inc. 1989

  • Softcover ISBN: 978-1-4684-0509-5Published: 05 February 2012

  • eBook ISBN: 978-1-4684-0507-1Published: 06 December 2012

  • Edition Number: 2

  • Number of Pages: XXIII, 479

  • Topics: Number Theory

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