The Collatz, Syracuse or 3x+1 problem
The 3x+1 Problem Annotated Bibliography
By Jeffrey Lagarias, 1997.
The 3x+1 Problem Conference Proceedings
Katholische Universität Eichstätt, Germany; 5--6 August 1999. On-line 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.
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.
Last update:March 10, 2016 at 18:24:06 UTC