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Collatz conjecture becomes theorem
The work
| Authors | Grażyna Mirkowska; Andrzej Salwicki |
|---|---|
| Editors | |
| Type | preprint |
| Year | 2023 |
| Citekey | mirkowska2023collatz |
Where it appeared
| Publisher | arXiv |
|---|
Identifiers
| arXiv | 2310.13035 |
|---|---|
| DOI | 10.48550/arxiv.2310.13035 |
Access
| Landing page | https://arxiv.org/abs/2310.13035 |
|---|
Related
| Distinct from | hu2023waferscale |
|---|
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.
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How it got here
| How it got here | agent via datacite |
|---|---|
| Added | 2026-08-05 00:00 UTC |
| Not denied by | a person 2026-08-27 17:57 UTC |
Filed under
Cite it as
@unpublished{mirkowska2023collatz,
title = {Collatz conjecture becomes theorem},
author = {Grażyna Mirkowska and Andrzej Salwicki},
year = {2023},
publisher = {arXiv},
eprint = {2310.13035},
doi = {10.48550/arxiv.2310.13035},
}
This record lives at https://refs.drheap.org/mirkowska2023collatz/ and will keep doing so.