About this document
X + 1 Problem To A Proof For The Nonexistence of 2-Cycles. A by 87zero is a document available to read on EtoBox.
This document discusses proving the nonexistence of 2-cycles for the 3x + 1 problem. It generalizes a previous proof for 1-cycles to 2-cycles. It derives inequalities that ratios between numbers in a potential 2-cycle must satisfy based on properties of logarithms and continued fractions. Numerical calculations then show that no 2-cycles satisfy these necessary conditions, proving they cannot exist.
- Author
- 87zero
- Language
- EN