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Top / Science / Math / Number Theory / Factoring

   Perfect Numbers
   Tables

Web SitesSuggest a Site
Discovery of a Lost Factoring Machine
Built by a French amateur, E.-O. Carissan, around 1919. Shallit, Williams and Morain include photographs and references to their paper.
Factoring Fermat Numbers
Cash prizes for new factors of Fermat numbers Fn, for n = 12 through 22.
Factoring Papers
Links to papers on the theory and practice of factoring.
Factoring Theory
A thorough summary of many major factoring algorithms. Includes some source code on many pages, and gentle introductions to the more complex methods.
Factoris
Online calculator that factorizes large numbers, specified by formula.
Factorization of F10
F10 = 2^(2^10) + 1 is the 10-th Fermat number. Richard Brent details his discovery of the two largest factors.
Factorization of RSA-155
Announcement of factorization of a 512-bit RSA key using the General Number Field Sieve (GNFS).
FactorWorld
Dedicated to algorithms and computational results on integer factorization. Includes links to papers, downloadable software, and online resources.
I Love Binary, Primes, and Factors
Divisibility, primes and binary numbers.
Known Amicable Pairs
A listing of all the known pairs of numbers, each of which is the sum of the aliquot divisors of the other. Complete for smaller numbers, and extending beyond 200 digits.
N!+-1 Factoring Status
Factoring efforts that have been made so far on numbers of the form n!+-1 using ECM factoring.
Number Field Sieve
Triade systems links to papers on the number field sieve.
Proth Factors
The current search status for factoring Proth numbers (k.2^n+1).
Robinson Primes
An analysis of problems relating to the numbers k.2^n+-1, primes, and factor patterns, including the Sierpinski problem.
RSA Laboratories Factoring Challenge
Numbers representative of those used in the RSA cryptosystem are offered for factor attempts with prizes. A Partition List challenge is also provided in order to encourage work on factoring in general.
Sam Wagstaff
Article about SNFS factorisation of 3^349-1.
Sierpinski Problem
Sierpinski proved there exist infinitely many odd integers k such that k*2^n+1 is composite for every n. Ray Ballinger coordinates a search to prove or disprove whether k=78557 is the smallest solution.
The Anti-Divisor
A definition and description of the Anti-Divisor, and some related results.
The Factor Zone
Aimed at grade school students and teachers, includes course guidelines, worksheets, and factor tables up to 600.
The XYYXF Project
A collaborative project to produce the factorizations of x^y + y^x for 1<y<x<101.

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