Home >> Science >> Math >> Number Theory >> Open Problems >> Collatz Problem 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 Collatz Problem, Data and Models Properties and predictive models for the Collatz Problem and relative functions. 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 [PDF]. Experiments with the 3n+1 Sequence An online calculator by Alfred Wassermann. The 3x+1 Problem Annotated Bibliography By Jeffrey Lagarias, 1997.
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