Properties based on the sum-of-divisors function s(n), including perfect and multiperfect numbers, aliquot sequences, amicable pairs and sociable chains....
This page was last updated on October 4th, 2008
This page was last updated on October 4th, 2008
Perfect Numbers (from Factoring)
Canadian Content » Science » Math » Number_Theory » Factoring » Perfect_Numbers »
Perfect Number - from MathWorld
Definitions and references.
Amicable Numbers
Observations on amicable pairs and their distribution, including Harshad and Happy Amicable pairs.
Perfect, Amicable and Sociable Numbers
Definitions, links and references of various applications of the sum of divisors function s(n).
Aliquot
Sequences with initial term up to 10,000, by Christophe Clavier.
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,
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.
Tables of Aliquot Cycles
Data for various kinds up to 10^12, including unitary, infinitary, exponential, augmented and reduced varieties.
Cubes of Perfection
From Ivars Peterson's MathTrek column in MAA Online. Curious relationships satisfied by perfect numbers.
Multiperfect Number Search
Sources and binaries of Jason Moxham's searching software.
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
Harry J. Smith's pages of the mathematics behind perfection, aliquot sequences and Mersenne numbers. Includes program listings and e-mail archives.
Multiply Perfect Numbers
Up-to-date information on multiperfect numbers and searchable database maintained by Achim Flammenkamp.
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.
Definitions and references.
Observations on amicable pairs and their distribution, including Harshad and Happy Amicable pairs.
Definitions, links and references of various applications of the sum of divisors function s(n).
Sequences with initial term up to 10,000, by Christophe Clavier.
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,
Status of various factorisations that would extend the known area of non-existence of odd perfect numbers, by Kevin Hare.
Data for various kinds up to 10^12, including unitary, infinitary, exponential, augmented and reduced varieties.
From Ivars Peterson's MathTrek column in MAA Online. Curious relationships satisfied by perfect numbers.
Sources and binaries of Jason Moxham's searching software.
Aliquot sequences arise in iterating the sum-of-divisors function s. Bosma has calculated tables up to start value 50,000 and 80 digits.
Harry J. Smith's pages of the mathematics behind perfection, aliquot sequences and Mersenne numbers. Includes program listings and e-mail archives.
Up-to-date information on multiperfect numbers and searchable database maintained by Achim Flammenkamp.
A Mathematics Enrichment Workshop introducing perfect numbers. Lessons and exercises extend over several pages. Aimed at interested middle and high school students.
Factoring >> Perfect Numbers yielded other results on Canadian Content:
Download: PIM Software - Phones, Blackberry and Organizers
Get yourself organized with these free downloads..
Get yourself organized with these free downloads..
Download: Calculators - Mortgage, Taxes
Various calculators useful for every field..
Various calculators useful for every field..
Download: Simulation Games
Download simulation games for your PC!.
Download simulation games for your PC!.
Download: Download Managers - Speed up and organize downloads
Programs for speeding up your internet downloads, typically using the http protocol. Most programs
Programs for speeding up your internet downloads, typically using the http protocol. Most programs
International Politics [Archive] - Canadian Content Forums
[Archive] Any political discussions not directly related to Canada.
[Archive] Any political discussions not directly related to Canada.
|
 |
-
