GAP package FactInt – Advanced Methods for [Fact]oring [Int]egers

Abstract

FactInt is a GAP 4 package which provides routines for factoring integers, in particular:

• Pollard’s p-1
• Williams’ p+1
• Elliptic Curves Method (ECM)
• Continued Fraction Algorithm (CFRAC)
• Multiple Polynomial Quadratic Sieve (MPQS)

It also provides access to Richard P. Brent’s tables of factors of integers of the form b^k +/- 1.

FactInt installs a better method for the operation Factors for integers. For details see the package documentation in the doc subdirectory – either view its HTML version (chap0.html) with a browser, or its PDF version manual.pdf with a PDF viewer.

Requirements

This Version of FactInt needs at least GAP >=4.8.8 and GAPDoc >=1.6. It is completely written in the GAP language and does neither contain nor require external binaries.

Installation

Like any other GAP package, FactInt must be installed in the pkg/ subdirectory of the GAP distribution. This is accomplished by extracting the distribution file in this directory. By default, FactInt is autoloaded. This means that it is loaded automatically when you start GAP.

Distribution and Updates

FactInt is distributed with the main GAP archive. For package updates between GAP releases itself check its web page https://gap-packages.github.io/FactInt.

Feedback

If you have problems with this package, wish to make comments or suggestions, or if you find bugs, please use https://github.com/gap-packages/FactInt/issues or contact package maintainers by email.

• Author and Maintainer: Stefan Kohl, stefan@gap-system.org
• Maintainer: Alexander Konovalov, alexander.konovalov@st-andrews.ac.uk