Perfect Numbers (Factoring)

Perfect Numbers further on these related pages:

Mersenne@

Perfect Numbers Sites:

On a Generalization of Perfect Numbers 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, (Perfect Numbers) http://www.geocities.com/windmill96/fperfect/fperfect.html Aliquot Sequences Aliquot Sequences: Aliquot sequences arise in iterating the sum-of-divisors function s. Bosma has calculated tables up to start value 50,000 and 80 digits. (Perfect Numbers) http://www.math.kun.nl/~bosma/research/nuth/ali.html Multiply Perfect Numbers Multiply Perfect Numbers: Up-to-date information on multiperfect numbers and searchable database maintained by Achim Flammenkamp. (Perfect Numbers) http://wwwhomes.uni-bielefeld.de/achim/mpn.html Multiperfect Number Search Multiperfect Number Search: Sources and binaries of Jason Moxham's searching software. (Perfect Numbers) http://www.maths.soton.ac.uk/~jlm/ Tables of Aliquot Cycles Tables of Aliquot Cycles: Data for various kinds up to 10^12, including unitary, infinitary, exponential, augmented and reduced varieties. (Perfect Numbers) http://amicable.homepage.dk/tables.htm Aliquot Aliquot: Sequences with initial term up to 10,000, by Christophe Clavier. (Perfect Numbers) http://christophe.clavier.free.fr/Aliquot/site/Aliquot.html Perfect Number - from MathWorld Perfect Number - from MathWorld: Definitions and references. (Perfect Numbers) http://mathworld.wolfram.com/PerfectNumber.html Cubes of Perfection Cubes of Perfection: From Ivars Peterson's MathTrek column in MAA Online. Curious relationships satisfied by perfect numbers. (Perfect Numbers) http://www.maa.org/mathland/mathtrek_5_18_98.html Perfect, Amicable and Sociable Numbers Perfect, Amicable and Sociable Numbers: Definitions, links and references of various applications of the sum of divisors function s(n). (Perfect Numbers) http://xraysgi.ims.uconn.edu:8080/amicable.html Odd Perfect Numbers - Missing Values Odd Perfect Numbers - Missing Values: Status of various factorisations that would extend the known area of non-existence of odd perfect numbers, by Kevin Hare. (Perfect Numbers) http://www.math.uwaterloo.ca/~kghare/ODDPERFECT/MissingValues.html Amicable Numbers Amicable Numbers: Observations on amicable pairs and their distribution, including Harshad and Happy Amicable pairs. (Perfect Numbers) http://www.shyamsundergupta.com/amicable.htm The Perfect Number Journey The Perfect Number Journey: A Mathematics Enrichment Workshop introducing perfect numbers. Lessons and exercises extend over several pages. Aimed at interested middle and high school students. (Perfect Numbers) http://home1.pacific.net.sg/%7Enovelway/MEW2/lesson1.html Perfect Numbers Perfect Numbers: Harry J. Smith's pages of the mathematics behind perfection, aliquot sequences and Mersenne numbers. Includes program listings and e-mail archives. (Perfect Numbers) http://pw1.netcom.com/~hjsmith/Perfect.html