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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. |
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Factoring Fermat Numbers - http://www.perfsci.com/freegoods.htm#fermat
Cash prizes for new factors of Fermat numbers Fn, for n = 12 through 22. |
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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. |
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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). |
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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. |
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Factoring Papers - http://www.crypto-world.com/FactorPapers.html
Links to papers on the theory and practice of factoring. |
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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. |
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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. |
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The Factor Zone - http://factorzone.tripod.com/
Aimed at grade school students and teachers, includes course guidelines, worksheets, and factor tables up to 600. |
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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. |