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Top : Science : Math : Number_Theory : Open_Problems : Collatz_Problem
Sites:
  		• An Image from the Collatz Problem: By Andrew Shapira. The intensity of a point denotes the time taken to terminate.
  		• Collatz 3n+1 Problem Structure: Observations posted by Ken Conrow to stimulate further research.
  		• Collatz Problem: From Eric Weissten's World of Mathematics. Article with references and links.
  		• Computational Verification of the 3x+1 Conjecture: Results up to 2^60 by Tomás Oliveira e Silva.
  		• Experiments with the 3n+1 Sequence: An online calculator by Alfred Wassermann.
  		• The 3x + 1 Problem and its Generalizations: An activated-text survey article by Jeff Lagarias.
  		• The 3x+1 Problem Annotated Bibliography: By Jeffrey Lagarias, 1997.
  		• The 3x+1 Problem Conference Proceedings: Katholische Universität Eichstätt, Germany; 5--6 August 1999. On-line proceedings and group photo.
  		• The Collatz 3n+1 Conjecture is Unprovable: A paper by Craig Alan Feinstein arguing that the Collatz Conjecture cannot be formally proved.
  		• The Generalised 3x+1 Problem: A survey by Keith Matthews [PDF].
  		• The Structure of the 3x + 1 Function: Papers by Peter Schorer describing several new approaches.
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