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Collatz Problem
Directory > Science > Math > Number Theory > Open Problems > Collatz Problem

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The Generalised 3x+1 Problem
A survey by Keith Matthews [PDF].
http://www.numbertheory.org/pdfs/survey.pdf
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An Image from the Collatz Problem
By Andrew Shapira. The intensity of a point denotes the time taken to terminate.
http://www.onezero.org/collatz.html
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The Collatz Problem, Data and Models
Properties and predictive models for the Collatz Problem and relative functions.
http://site.voila.fr/Collatz_Problem
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The 3x+1 Problem Search Results
Maximum number tested (N): 91·2^50 = 102456891522678784.
http://www.ieeta.pt/~tos/3x+1.html
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The 3x+1 Problem Conference Proceedings
Katholische Universität Eichstätt, Germany; 5--6 August 1999. On-line proceedings and group
photo.
http://www.math.grin.edu/~chamberl/conf.html
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Collatz Problem
From Eric Weissten's World of Mathematics. Article with references and links.
http://mathworld.wolfram.com/CollatzProblem.html
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Collatz 3n+1 Problem Structure
Observations posted by Ken Conrow to stimulate further research.
http://www-personal.ksu.edu/~kconrow/
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Experiments with the 3n+1 Sequence
An online calculator by Alfred Wassermann.
http://did.mat.uni-bayreuth.de/Fun/3np1_e.html
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On The 3x + 1 Problem
These pages supply numerical data and propose some conjectures on this innocent looking problem.
All numbers up to 29,300 * 10^12 ( ~ 26 * 2^50 ) have been checked for convergence.
http://personal.computrain.nl/eric/wondrous/
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The 3x+1 Problem Annotated Bibliography
By Jeffrey Lagarias, 1997.
http://www.research.att.com/~jcl/3x+1.html
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The 3x + 1 Problem and its Generalizations
A survey article by Jeff Lagarias.
http://www.cecm.sfu.ca/organics/papers/lagarias/paper/html/paper.html
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The Structure of the 3x + 1 Function
Papers by Peter Schorer describing several new approaches.
http://www.occampress.com/
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