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Top / Science / Math / Number_Theory / Factoring /

Factorizations of Near-repdigit Numbers
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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Integer Factorization
Paul Leyland's list of his own and other factorisations.
http://www.leyland.vispa.com/numth/factorization/main.htm
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Factoring Fermat Numbers
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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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.
http://www.rsasecurity.com/rsalabs/node.asp?id=2092
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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.
http://www.cs.uwaterloo.ca/~shallit/Papers/carissan.html
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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.
http://amicable.homepage.dk/knwnc2.htm
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