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the entire directory
only in Open_Problems/Collatz_Problem
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Collatz Problem
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The 3x+1 Problem Annotated Bibliography
 By Jeffrey Lagarias, 1997.
The 3x+1 Problem Conference Proceedings
 Katholische Universität Eichstätt, Germany; 56 August 1999. Online 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.
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.
The Collatz Problem, data and models
 Properties and predictive models for the Collatz Problem and related functions.
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 Generalised 3x+1 Problem
 A survey by Keith Matthews.
An Image from the Collatz Problem
 By Andrew Shapira. The intensity of a point denotes the time taken to terminate.
The Structure of the 3x + 1 Function
 Papers by Peter Schorer describing several new approaches.
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Last update: March 10, 2016 at 18:24:06 UTC 
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