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Top: Science: Math: Number_Theory: Factoring: Perfect_Numbers:

  • Aliquot Zapisz - Sequences with initial term up to 10,000, by Christophe Clavier.
  • Aliquot Sequences Zapisz - Juan L. Varona's work on aliquot sequences examines sequences with start values up to 10000, and traces them to large composite values.
  • Aliquot Sequences Zapisz - Results and software from Paul Zimmermann, addressing the Catalan Conjecture and working on the difficult "Lehmer Five" sequences.
  • Aliquot Sequences Zapisz - Aliquot sequences arise in iterating the sum-of-divisors function s. Bosma has calculated tables up to start value 50,000 and 80 digits.
  • Aliquot Sequences Zapisz - Statistics by Wolfgang Creyaufmueller, including many tables and links to factoring sites and software.
  • Amicable Numbers Zapisz - Observations on amicable pairs and their distribution, including Harshad and Happy Amicable pairs.
  • Cubes of Perfection Zapisz - From Ivars Peterson's MathTrek column in MAA Online. Curious relationships satisfied by perfect numbers.
  • Multiply Perfect Numbers Zapisz - Up-to-date information on multiperfect numbers and searchable database maintained by Achim Flammenkamp.
  • Perfect Number - from MathWorld Zapisz - Definitions and references.
  • Perfect Numbers Zapisz - A detailed history of the quest for perfect numbers, from Euclid to their present-day Mersenne discoveries.
  • Tables of Aliquot Cycles Zapisz - Data for various kinds up to 10^12, including unitary, infinitary, exponential, augmented and reduced varieties.