Perfect Numbers Factoring Number Theory
Perfect Numbers Factoring Number Theory
Properties based on the sum-of-divisors function s(n), including perfect and multiperfect numbers, aliquot sequences, amicable pairs and sociable chains.
Top: Science: Math: Number Theory: Factoring: Perfect Numbers
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Aliquot Sequences - Statistics by Wolfgang Creyaufmueller, including many tables and links to factoring sites and software.
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Aliquot - Sequences with initial term up to 10,000, by Christophe Clavier.
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Cubes of Perfection - From Ivars Peterson's MathTrek column in MAA Online. Curious relationships satisfied by perfect numbers.
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Perfect Numbers - Harry J. Smith's pages of the mathematics behind perfect numbers, aliquot sequences and Mersenne numbers. Includes program listings and e-mail archives.
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On a Generalization of Perfect Numbers - 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,
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Tables of Aliquot Cycles - Data for various kinds up to 10^12, including unitary, infinitary, exponential, augmented and reduced varieties.
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Amicable Numbers - Observations on amicable pairs and their distribution, including Harshad and Happy Amicable pairs.
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Perfect Number - from MathWorld - Definitions and references.
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Multiply Perfect Numbers - Up-to-date information on multiperfect numbers and searchable database maintained by Achim Flammenkamp.
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