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Open Directory - Science: Math: Number Theory: Factoring: Perfect Numbers
- Sequences with initial term up to 10,000, by Christophe Clavier.
- Juan L. Varona's work on aliquot sequences examines sequences with start values up to 10000, and traces them to large composite values.
- Results and software from Paul Zimmermann, addressing the Catalan Conjecture and working on the difficult "Lehmer Five" 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.
- Statistics by Wolfgang Creyaufmueller, including many tables and links to factoring sites and software.
- Observations on amicable pairs and their distribution, including Harshad and Happy Amicable pairs.
Multiply Perfect Numbers
- Up-to-date information on multiperfect numbers and searchable database maintained by Achim Flammenkamp.
Perfect Number - from MathWorld
- Definitions and references.
- A detailed history of the quest for perfect numbers, from Euclid to their present-day Mersenne discoveries.
Tables of Aliquot Cycles
- Data for various kinds up to 10^12, including unitary, infinitary, exponential, augmented and reduced varieties.
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