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Perfect Numbers

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Sites:

» Aliquot Open in a new browser window - Sequences with initial term up to 10,000, by Christophe Clavier.
» Aliquot Sequences Open in a new browser window - Statistics by Wolfgang Creyaufmueller, including many tables and links to factoring sites and software.
» Amicable Numbers Open in a new browser window - Observations on amicable pairs and their distribution, including Harshad and Happy Amicable pairs.
» Cubes of Perfection Open in a new browser window - From Ivars Peterson's MathTrek column in MAA Online. Curious relationships satisfied by perfect numbers.
» Multiply Perfect Numbers Open in a new browser window - Up-to-date information on multiperfect numbers and searchable database maintained by Achim Flammenkamp.
» Odd Perfect Numbers - Missing Values Open in a new browser window - Status of various factorisations that would extend the known area of non-existence of odd perfect numbers, by Kevin Hare.
» On a Generalization of Perfect Numbers Open in a new browser window - J. L. Pe introduces perfect numbers relative to an arithmetical function f. Under this scheme, the usual perfect numbers are just one among many species of "f-perfect numbers". Several open problems and examples of perfect number sets are given,
» Perfect Number - from MathWorld Open in a new browser window - Definitions and references.
» Perfect Numbers Open in a new browser window - Harry J. Smith's pages of the mathematics behind perfect numbers, aliquot sequences and Mersenne numbers. Includes program listings and e-mail archives.
» Tables of Aliquot Cycles Open in a new browser window - Data for various kinds up to 10^12, including unitary, infinitary, exponential, augmented and reduced varieties.
» The Perfect Number Journey Open in a new browser window - A Mathematics Enrichment Workshop introducing perfect numbers. Lessons and exercises extend over several pages. Aimed at interested middle and high school students.


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