A Solution to the Collatz Conjecture Problem
- Posted
- Server
- Preprints.org
- DOI
- 10.20944/preprints202301.0541.v20
Research Collatz odd sequence, change (×3 + 1) ÷ 2k operation in Collatz Conjecture to (×3 + 2m − 1) ÷ 2k operation. Expand loop Collatz odd sequence (if exists) in (×3 + 2m − 1) ÷ 2k odd sequence to become ∞-steps non-loop sequence. Build a (×3 + 2m − 1) ÷ 2k odd tree model and transform position model for odds in tree. Via comparing actual and virtual positions, prove if a (×3 + 2m − 1) ÷ 2k odd sequence can not converge after ∞ steps of (×3 + 2m − 1) ÷ 2k operation, the sequence must walk out of the right boundary of the tree.