Perfect Numbers Factoring Number Theory Math

Juan L. Varona's work on aliquot sequences examines sequences with start values up to 10000, and traces them to large composite values.

• Perfect Numbers - Harry J. Smith\\'s pages of the mathematics behind perfect numbers perfect number theory numbers, aliquot sequences and Mersenne numbers. Includes perfect numbers program listings number theory and e-mail archives.
• Multiply Perfect Numbers - Up-to-date information on multiperfect numbers and searchable database number theory maintained by Achim Flammenkamp.
• Perfect Number - from MathWorld - Definitions and references.
• Aliquot - Sequences with initial term up to 10,000, factoring by Christophe number theory Clavier.
• Aliquot Sequences - Statistics by Wolfgang Creyaufmueller, including many tables and links to factoring factoring sites and software.
• On a Generalization of Perfect Numbers - J. L. Pe introduces perfect numbers relative to number theory an arithmetical function f. Under this scheme, the number theory usual perfect numbers are just one among many number theory species of "f-perfect numbers". Several open problems and number theory examples of perfect number sets are given,
• Cubes of Perfection - From Ivars Peterson\\'s MathTrek column in MAA Online. factoring Curious relationships factoring satisfied by perfect numbers.
• Amicable Numbers - Observations on amicable pairs and their distribution, including number theory Harshad factoring and Happy Amicable pairs.
• Tables of Aliquot Cycles - Data for various kinds up to 10^12, including perfect numbers unitary, number theory infinitary, exponential, augmented and reduced varieties.

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