The Collatz, Syracuse or 3x+1 problem
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- The Structure of the 3x + 1 Function Papers by Peter Schorer describing several new approaches.
- 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 3x+1 Problem Conference Proceedings Katholische Universität Eichstätt, Germany; 5--6 August 1999. On-line proceedings and group photo.
- Computational Verification of the 3x+1 Conjecture Results up to 2^60 by Tomás Oliveira e Silva.
- The 3x+1 Problem Annotated Bibliography By Jeffrey Lagarias, 1997.
- The Collatz 3n+1 Conjecture is Unprovable A paper by Craig Alan Feinstein arguing that the Collatz Conjecture cannot be formally proved.
- An Image from the Collatz Problem By Andrew Shapira. The intensity of a point denotes the time taken to terminate.
- The Generalised 3x+1 Problem A survey by Keith Matthews.
- The Collatz Problem, data and models Properties and predictive models for the Collatz Problem and related functions.