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Division Rules (6)
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Software (63)
Tables (14)
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Web Pages
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  Factorization Using the Elliptic Curve Method http://www.alpertron.com.ar/ECM.HTM
Java applet that can be used to find 20- or 30-digit factors of numbers or numerical expressions up to 1000 digits long. It also computes the number and sum of divisors, the Euler's totient and moebius functions, and the decomposition of the number in a sum of up to four squares.
  Factoring Fermat Numbers http://www.perfsci.com/freegoods.htm#fermat
Cash prizes for new factors of Fermat numbers Fn, for n = 12 through 22.
  RSA Laboratories Factoring Challenge http://www.rsasecurity.com/rsalabs/node.asp?id=2092
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.
  Factorization of RSA-155 http://www.crypto-world.com/announcements/RSA155.txt
Announcement of factorization of a 512-bit RSA key using the General Number Field Sieve (GNFS).
  Known Amicable Pairs http://amicable.homepage.dk/knwnc2.htm
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.
  Sierpinski Problem http://www.prothsearch.net/sierp.html
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.
  Fermat Search http://www.fermatsearch.org/
Leonid Durman's Fermat number factoring site and program.
  FactorWorld http://www.crypto-world.com/FactorWorld.html
Dedicated to algorithms and computational results on integer factorization. Includes links to papers, downloadable software, and online resources.
  Integer Factorization http://www.leyland.vispa.com/numth/factorization/main.htm
Paul Leyland's list of his own and other factorisations.
  N!+-1 Factoring Status http://www.uow.edu.au/~ajw01/ecm/curves.html
Factoring efforts that have been made so far on numbers of the form n!+-1 using ECM factoring.
  Factoring Papers http://www.crypto-world.com/FactorPapers.html
Links to papers on the theory and practice of factoring.
  Factorizations of Near-repdigit Numbers http://homepage2.nifty.com/m_kamada/math/factorizations.htm
Factorizations of numbers composed of all the same digit except first and/or last.
  Discovery of a Lost Factoring Machine http://www.cs.uwaterloo.ca/~shallit/Papers/carissan.html
Built by a French amateur, E.-O. Carissan, around 1919. Shallit, Williams and Morain include photographs and references to their paper.
  The Factor Zone http://factorzone.tripod.com/
Aimed at grade school students and teachers, includes course guidelines, worksheets, and factor tables up to 600.
  Factorization of F10 http://web.comlab.ox.ac.uk/oucl/work/richard.brent/F10.html
F10 = 2^(2^10) + 1 is the 10-th Fermat number. Richard Brent describes his discovery of the two largest factors.
  Computing Aurifeuillian factors http://web.comlab.ox.ac.uk/oucl/work/richard.brent/pub/pub127.html
Algorithm that finds non-trivial factors of certain numbers of the form a^b +/- 1.
  The XYYXF Project http://xyyxf.at.tut.by/
A collaborative project to produce the factorizations of x^y + y^x for 1<y<x<101.
  I Love Binary, Primes, and Factors http://home.earthlink.net/~usondermann/binary.html
Divisibility, primes and binary numbers.
  Factoris http://wims.unice.fr/~wims/wims.cgi?lang=en&module=tool/algebra/factor.en&cmd=new&
Online calculator that factorizes large numbers, specified by formula.

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