Consecutive Integers and the Collatz Conjecture
Number Theory
2015-12-01 v1
Abstract
Pairs of consecutive integers have the same height in the Collatz problem with surprising frequency. Garner gave a conjectural family of conditions for exactly when this occurs. Our main result is an infinite family of counterexamples to Garner's conjecture.
Cite
@article{arxiv.1511.09141,
title = {Consecutive Integers and the Collatz Conjecture},
author = {Marcus Elia and Amanda Tucker},
journal= {arXiv preprint arXiv:1511.09141},
year = {2015}
}
Comments
Accepted at Integers, 9 pages