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Collatz Problem
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Collatz Problem
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http://mathworld.wolfram.com/CollatzProblem.html
From Eric Weissten's World of Mathematics. Article with references and links.
The 3x+1 Problem Annotated Bibliography
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http://www.math.lsa.umich.edu/~lagarias/3x+1.html
By Jeffrey Lagarias, 1997.
Computational Verification of the 3x+1 Conjecture
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http://www.ieeta.pt/~tos/3x+1.html
Results up to 2^60 by Tomás Oliveira e Silva.
The Structure of the 3x + 1 Function
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http://www.occampress.com/
Papers by Peter Schorer describing several new approaches.
The Generalised 3x+1 Problem
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http://www.numbertheory.org/pdfs/survey.pdf
A survey by Keith Matthews.
The 3x+1 Problem Conference Proceedings
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http://www.math.grin.edu/~chamberl/conf.html
Katholische Universität Eichstätt, Germany; 5--6 August 1999. On-line proceedings and group photo.
Collatz 3n+1 Problem Structure
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http://www-personal.ksu.edu/~kconrow/
Observations posted by Ken Conrow to stimulate further research.
Experiments with the 3n+1 Sequence
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http://did.mat.uni-bayreuth.de/personen/wassermann/fun/3np1_e.html
An online calculator by Alfred Wassermann.
The Collatz 3n+1 Conjecture is Unprovable
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http://arxiv.org/abs/math.GM/0312309
A paper by Craig Alan Feinstein arguing that the Collatz Conjecture cannot be formally proved.
An Image from the Collatz Problem
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http://www.onezero.org/collatz-image
By Andrew Shapira. The intensity of a point denotes the time taken to terminate.
The 3x + 1 Problem and its Generalizations
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http://oldweb.cecm.sfu.ca/organics/papers/lagarias/
An activated-text survey article by Jeff Lagarias.
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