Directory of Collatz Problem Resources

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The Collatz, Syracuse or 3x+1 problem

Resources in This Category

• An Image from the Collatz Problem

  http://www.onezero.org/collatz-image
  By Andrew Shapira. The intensity of a point denotes the time taken to terminate.

• Collatz 3n+1 Problem Structure

  http://www-personal.ksu.edu/~kconrow/
  Observations posted by Ken Conrow to stimulate further research.

• Collatz Problem

  http://mathworld.wolfram.com/CollatzProblem.html
  From Eric Weissten's World of Mathematics. Article with references and links.

• Computational Verification of the 3x+1 Conjecture

  http://www.ieeta.pt/~tos/3x+1.html
  Results up to 2^60 by Tomás Oliveira e Silva.

• The 3x+1 Problem Annotated Bibliography

  http://www.math.lsa.umich.edu/~lagarias/3x+1.html
  By Jeffrey Lagarias, 1997.

• The 3x+1 Problem Conference Proceedings

  http://www.math.grin.edu/~chamberl/conf.html
  Katholische Universität Eichstätt, Germany; 5--6 August 1999. On-line proceedings and group photo.

• The Collatz 3n+1 Conjecture is Unprovable

  http://arxiv.org/abs/math.GM/0312309
  A paper by Craig Alan Feinstein arguing that the Collatz Conjecture cannot be formally proved.

• The Collatz Problem, data and models

  http://collatz.freehostia.com/
  Properties and predictive models for the Collatz Problem and related functions.

• The Generalised 3x+1 Problem

  http://www.numbertheory.org/3x+1/
  A survey by Keith Matthews.

• The Structure of the 3x + 1 Function

  http://www.occampress.com/
  Papers by Peter Schorer describing several new approaches.

 

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