Collatz Problem (Open Problems)

Collatz Problem Sites:

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