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Title: Cycles in sums of prime factors
Type of Resource: Animação/simulação
Objective: This demonstrations shows cycles in sums of prime factors
Abstract: Define the function sopfr that is the sum of the prime factors of n. The iteration of x->sopfr(ax+b) invariably (for the numbers explored) leads to closed loops of varying length for integers a and b. On the graph, the red dot indicates the beginning of the current cycle. It is not known if every iteration is eventually periodic, or if there is a finite number of limit cycles
Observation: This demonstration needs the "MathematicaPlayer.exe" to run. Found in http://objetoseducacionais2.mec.gov.br/handle/mec/4737
Curriculum Component: Educação Superior::Ciências Exatas e da Terra::Matemática
Theme: Educação Superior::Ciências Exatas e da Terra::Matemática::Teoria dos Números
Author: Zeleny, Enrique
Language: English (en)
Country: United States (us)
Description: Knowledge about number theory and prime numbers
Web Address: http://demonstrations.wolfram.com/CyclesInSumsOfPrimeFactors/
Date: 2008
Rightsholder: The Wolfram Demonstrations Project & Contributors
License: Demonstration freeware using Mathematica Player
Submitter: Universidade Federal de São Carlos (UFSCAR)
URI: http://objetoseducacionais2.mec.gov.br/handle/mec/6138
This Educational Object appears in the following Types of resources: Educação Superior: Ciências Exatas e da Terra: Matemática: Animações/Simulações