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Home / Science / Math / Number Theory / Factoring / Perfect Numbers
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- Science/ Math/ Number Theory/ Prime Numbers/ Mersenne@ (11)
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Web Sites
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- Aliquot Sequences - Statistics by Wolfgang Creyaufmueller, including many tables and links to factoring sites and software.
home.t-online.de/home/Wolfgang.Creyaufmueller/aliquote.htm
- Aliquot Sequences - Juan L. Varona's work on aliquot sequences examines sequences with start values up to 10000, and traces them to large composite values.
www.unirioja.es/dptos/dmc/jvarona/aliquot.html
- Aliquot Sequences - Results and software from Paul Zimmermann, addressing the Catalan Conjecture and working on the difficult "Lehmer Five" sequences.
www.loria.fr/~zimmerma/records/aliquot.html
- 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.
www-math.sci.kun.nl/math/~bosma/research/nuth/ali.html
- Amicable Numbers - Observations on amicable pairs and their distribution, including Harshad and Happy Amicable pairs.
www.shyamsundergupta.com/amicable.htm
- Cubes of Perfection - From Ivars Peterson's MathTrek column in MAA Online. Curious relationships satisfied by perfect numbers.
www.maa.org/mathland/mathtrek_5_18_98.html
- John Voight - Includes his thesis on the nonexistence or otherwise of odd perfect numbers and the use of continued fraction methods.
www.math.berkeley.edu/~jvoight
- Multiperfect Number Search - Sources and binaries of Jason Moxham's searching software.
www.maths.soton.ac.uk/~jlm
- Multiply Perfect Numbers - Up-to-date information on multiperfect numbers and searchable database maintained by Achim Flammenkamp.
www.uni-bielefeld.de/~achim/mpn.html
- 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, as well as a few f-amicable pairs.
www.geocities.com/windmill96/fperfect/fperfect.html
- Perfect Numbers - A detailed history of the quest for perfect numbers, from Euclid to their present-day Mersenne discoveries.
www-history.mcs.st-and.ac.uk/history/HistTopics/Perfect_numbers.html
- Perfect Numbers - Harry J. Smith's pages of the mathematics behind perfection, aliquot sequences and Mersenne numbers. Includes program listings and e-mail archives.
pw1.netcom.com/~hjsmith/Perfect.html
- Perfect, Amicable and Sociable Numbers - Definitions, links and references of various applications of the sum of divisors function s(n).
xraysgi.ims.uconn.edu:8080/amicable.html
- Tables of Aliquot Cycles - Data for various kinds up to 10^12, including unitary, infinitary, exponential, augmented and reduced varieties.
www.vejlehs.dk/staff/jmp/aliquot/tables.htm
- 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.
home1.pacific.net.sg/%7Enovelway/MEW2/lesson1.html
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