Stunning.com Directory - Collatz Problem

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Home / Science / Math / Number Theory / Open Problems / Collatz Problem

Web Sites

An Image from the Collatz Problem - By Andrew Shapira. The intensity of a point denotes the time taken to terminate.
www.onezero.org/collatz.html
Collatz 3n+1 Problem Structure - Observations posted by Ken Conrow to stimulate further research.
www-personal.ksu.edu/~kconrow
Collatz Problem - From Eric Weissten's World of Mathematics. Article with references and links.
mathworld.wolfram.com/CollatzProblem.html
Experiments with the 3n+1 Sequence - An online calculator by Alfred Wassermann.
did.mat.uni-bayreuth.de/Fun/3np1_e.html
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.
personal.computrain.nl/eric/wondrous
The 3x + 1 Problem and its Generalizations - A survey article by Jeff Lagarias.
www.cecm.sfu.ca/organics/papers/lagarias/paper/html/paper.html
The 3x+1 Problem Annotated Bibliography - By Jeffrey Lagarias, 1997.
www.research.att.com/~jcl/3x+1.html
The 3x+1 Problem Conference Proceedings - Katholische Universität Eichstätt, Germany; 5--6 August 1999. On-line proceedings and group photo.
www.math.grin.edu/~chamberl/conf.html
The 3x+1 Problem Search Results - Maximum number tested (N): 91·2^50 = 102456891522678784.
www.ieeta.pt/~tos/3x+1.html
The Collatz Problem - Hundreds of links collected at geometry.net.
www.geometry.net/Theorems_and_Conjectures/Collatz_Problem.htm
The Collatz Problem, Data and Models - Properties and predictive models for the Collatz Problem and relative functions.
site.voila.fr/Collatz_Problem
The Generalised 3x+1 Problem - A survey by Keith Matthews.
www.maths.uq.edu.au/~krm/survey.pdf
The Structure of the 3x + 1 Function - Papers by Peter Schorer describing several new approaches.
www.occampress.com
The Superset Algorithm - The "limited halting problem": finding machines that solve the halting problem for limited classes of inputs without reporting erroneous results. The Collatz problem is a special case. Software, papers and graphics.
www8.pair.com/mnajtiv/halt/halt.html