Collatz conjecture becomes theorem
The work
| Title | Collatz conjecture becomes theorem |
|---|---|
| Authors | Grażyna Mirkowska; Andrzej Salwicki |
| Type | preprint |
| Year | 2023 |
| Citekey | mirkowska2023collatz |
Where it appeared
| Publisher | arXiv |
|---|
Identifiers
| DOI | 10.48550/arxiv.2310.13035 |
|---|
Access
| Landing page | https://arxiv.org/abs/2310.13035 |
|---|
Abstract
The Collatz hypothesis is a theorem of the algorithmic theory of natural numbers. We prove the (algorithmic) formula that expresses the halting property of Collatz algorithm. The observation that Collatz's theorem cannot be proved in any elementary number theory completes the main result.
Copy held
| Kind | PDF, 756.5 kB |
|---|---|
| Retrieved | 2026-08-08 |
| Held | local, for personal reference |
| Where it came from | https://arxiv.org/abs/2310.13035 |
Where this came from
| How it got here | the agent went looking · found via datacite |
|---|---|
| First seen | 2026-08-05 |
| Record | reviewed by a person |
| Approved | 2026-08-08 |
In: drheap
project
Cite it as
@misc{mirkowska2023collatz,
title = {Collatz conjecture becomes theorem},
author = {Grażyna Mirkowska and Andrzej Salwicki},
year = {2023},
publisher = {arXiv},
doi = {10.48550/arxiv.2310.13035},
url = {https://arxiv.org/abs/2310.13035},
}
This record lives at https://refs.drheap.org/mirkowska2023collatz/ and will keep doing so.