How to Recognize Whether a Natural Number is a Prime?

Paulo Ribenboim
Additional contact information
Paulo Ribenboim: Queen’s University, Department of Mathematics and Statistics

Chapter Chapter 2 in The Book of Prime Number Records, 1988, pp 13-128 from Springer

Abstract: Abstract In the art. 329 of Disquisitiones Arithmeticae, Gauss (1801) wrote: 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. It has engaged the industry and wisdom of ancient and modern geometers to such an extent that it would be superfluous to discuss the problem at length... . Further, 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.

Keywords: Prime Number; Fibonacci Number; Primality Test; Fermat Number; Legendre Symbol (search for similar items in EconPapers)
Date: 1988
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4684-9938-4_3

Ordering information: This item can be ordered from
http://www.springer.com/9781468499384

DOI: 10.1007/978-1-4684-9938-4_3

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().