Skip to main content

Factoring with Binary Quadratic Forms

  • Chapter
  • 747 Accesses

Abstract

In the opening paragraphs of Article 329 of the Disquisitiones, Gauss, a master at calculating, writes [pp. 396–397],

The problem of distinguishing prime numbers from composite numbers and of resolving the latter into their prime factors is known to be one of the most important and useful in arithmetic ... the dignity of the science itself seems to require that every possible means be explored for the solution of a problem so elegant and so celebrated.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1989 Springer-Verlag New York Inc.

About this chapter

Cite this chapter

Buell, D.A. (1989). Factoring with Binary Quadratic Forms. In: Binary Quadratic Forms. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4542-1_10

Download citation

  • DOI: https://doi.org/10.1007/978-1-4612-4542-1_10

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-8870-1

  • Online ISBN: 978-1-4612-4542-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics