The Collatz, Syracuse or 3x+1 problem

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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.

Collatz Problem

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.

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.

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February 1, 2017 at 11:45:04 UTC
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