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  Factoring (52)

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Known Amicable Pairs Open in a new windowLink Details
- 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.
- http://amicable.homepage.dk/knwnc2.htm

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Discovery of a Lost Factoring Machine Open in a new windowLink Details
- Built by a French amateur, E.-O. Carissan, around 1919. Shallit, Williams and Morain include photographs and references to their paper.
- http://www.cs.uwaterloo.ca/~shallit/Papers/carissan.html

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RSA Laboratories Factoring Challenge Open in a new windowLink Details
- 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.
- http://www.rsasecurity.com/rsalabs/node.asp?id=2092

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Factoring Fermat Numbers Open in a new windowLink Details
- Cash prizes for new factors of Fermat numbers Fn, for n = 12 through 22.
- http://www.perfsci.com/freegoods.htm#fermat

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Integer Factorization Open in a new windowLink Details
- Paul Leyland's list of his own and other factorisations.
- http://www.leyland.vispa.com/numth/factorization/main.htm

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Factorization of F10 Open in a new windowLink Details
- F10 = 2^(2^10) + 1 is the 10-th Fermat number. Richard Brent describes his discovery of the two largest factors.
- http://web.comlab.ox.ac.uk/oucl/work/richard.brent/F10.html

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Computing Aurifeuillian factors Open in a new windowLink Details
- Algorithm that finds non-trivial factors of certain numbers of the form a^b +/- 1.
- http://web.comlab.ox.ac.uk/oucl/work/richard.brent/pub/pub127.html

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Factorizations of Near-repdigit Numbers Open in a new windowLink Details
- Factorizations of numbers composed of all the same digit except first and/or last.
- http://homepage2.nifty.com/m_kamada/math/factorizations.htm

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Factoring Papers Open in a new windowLink Details
- Links to papers on the theory and practice of factoring.
- http://www.crypto-world.com/FactorPapers.html

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The XYYXF Project Open in a new windowLink Details
- A collaborative project to produce the factorizations of x^y + y^x for 1<y<x<101.
- http://xyyxf.at.tut.by/

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Factorization of RSA-155 Open in a new windowLink Details
- Announcement of factorization of a 512-bit RSA key using the General Number Field Sieve (GNFS).
- http://www.crypto-world.com/announcements/RSA155.txt

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FactorWorld Open in a new windowLink Details
- Dedicated to algorithms and computational results on integer factorization. Includes links to papers, downloadable software, and online resources.
- http://www.crypto-world.com/FactorWorld.html

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Fermat Search Open in a new windowLink Details
- Leonid Durman's Fermat number factoring site and program.
- http://www.fermatsearch.org/

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Factorization Using the Elliptic Curve Method Open in a new windowLink Details
- 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 s
- http://www.alpertron.com.ar/ECM.HTM

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I Love Binary, Primes, and Factors Open in a new windowLink Details
- Divisibility, primes and binary numbers.
- http://home.earthlink.net/~usondermann/binary.html

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N!+-1 Factoring Status Open in a new windowLink Details
- Factoring efforts that have been made so far on numbers of the form n!+-1 using ECM factoring.
- http://www.uow.edu.au/~ajw01/ecm/curves.html

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Sierpinski Problem Open in a new windowLink Details
- 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.
- http://www.prothsearch.net/sierp.html

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Factoris Open in a new windowLink Details
- Online calculator that factorizes large numbers, specified by formula.
- http://wims.unice.fr/~wims/wims.cgi?lang=en&module=tool/algebra/factor.en&cmd=new&

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