Collatz Problem Open Problems Number Theory Math

The Collatz, Syracuse or 3x+1 problem

• Experiments with the 3n+1 Sequence - An online calculator by Alfred Wassermann.
• An Image from the Collatz Problem - By Andrew Shapira. The intensity of a point denotes the time taken to terminate.
• Collatz Problem - From Eric Weissten\\'s World of Mathematics. Article collatz problem with collatz problem references and links.
• The Structure of the 3x + 1 Function - Papers by Peter Schorer describing several new approaches.
• Computational Verification of the 3x+1 Conjecture - Results up to 2^60 by Tomás Oliveira e open problems Silva.
• The 3x+1 Problem Conference Proceedings - Katholische Universität Eichstätt, Germany; 5--6 August 1999. open problems On-line open problems proceedings and group photo.
• The Generalised 3x+1 Problem - A survey by Keith Matthews.[PDF]
• Collatz 3n+1 Problem Structure - Observations posted by Ken Conrow to stimulate further number theory research.
• The 3x+1 Problem Annotated Bibliography - By Jeffrey Lagarias, 1997.
• The 3x + 1 Problem and its Generalizations - An activated-text survey article by Jeff Lagarias.
• The Collatz 3n+1 Conjecture is Unprovable - A paper by Craig Alan Feinstein arguing that the Collatz collatz problem Conjecture cannot be formally proved.

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