Aliquot Save
Sequences with initial term up to 10,000, by Christophe Clavier.
http://christophe.clavier.free.fr/Ali...   

Aliquot Sequences Save
Juan L. Varona's work on aliquot sequences examines sequences with start values up to 10000, and traces them to large composite values.
http://www.unirioja.es/dptos/dmc/jvar...   

Aliquot Sequences Save
Results and software from Paul Zimmermann, addressing the Catalan Conjecture and working on the difficult "Lehmer Five" sequences.
http://www.loria.fr/~zimmerma/records...   

Aliquot Sequences Save
Aliquot sequences arise in iterating the sum-of-divisors function s. Bosma has calculated tables up to start value 50,000 and 80 digits.
http://www.math.ru.nl/~bosma/research...   

Aliquot Sequences Save
Statistics by Wolfgang Creyaufmueller, including many tables and links to factoring sites and software.
http://www.aliquot.de/aliquote.htm   

Amicable Numbers Save
Observations on amicable pairs and their distribution, including Harshad and Happy Amicable pairs.
http://www.shyamsundergupta.com/amica...   

Cubes of Perfection Save
From Ivars Peterson's MathTrek column in MAA Online. Curious relationships satisfied by perfect numbers.
http://www.maa.org/mathland/mathtrek_...   

Multiply Perfect Numbers Save
Up-to-date information on multiperfect numbers and searchable database maintained by Achim Flammenkamp.
http://wwwhomes.uni-bielefeld.de/achi...   

Odd Perfect Numbers - Missing Values Save
Status of various factorisations that would extend the known area of non-existence of odd perfect numbers, by Kevin Hare.
http://www.math.uwaterloo.ca/~kghare/...   

On a Generalization of Perfect Numbers Save
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, as well as a few f-amicable pairs.
http://www.geocities.com/windmill96/f...   

Perfect Number - from MathWorld Save
Definitions and references.
http://mathworld.wolfram.com/PerfectN...   

Perfect Numbers Save
A detailed history of the quest for perfect numbers, from Euclid to their present-day Mersenne discoveries.
http://www-history.mcs.st-and.ac.uk/h...   

Perfect Numbers Save
Harry J. Smith's pages of the mathematics behind perfect numbers, aliquot sequences and Mersenne numbers. Includes program listings and e-mail archives.
http://www.geocities.com/hjsmithh/Per...   

Tables of Aliquot Cycles Save
Data for various kinds up to 10^12, including unitary, infinitary, exponential, augmented and reduced varieties.
http://amicable.homepage.dk/tables.htm   

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