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The Long Search for Collatz Counterexamples

The work

AuthorsOliver Clay
Editors
Typearticle
Year2023
Citekeyclay2023long

Where it appeared

Published inJournal of Humanistic Mathematics
PublisherClaremont Colleges Library
Volume13
Issue2
Pages199--227

Identifiers

DOI10.5642/jhummath.yqho7207

Access

Landing pagehttps://scholarship.claremont.edu/jhm/vol13/iss2/13
Free full texthttps://scholarship.claremont.edu/cgi/viewcontent.cgi?article=2052&context=jhm

Empty on purpose

copy

Abstract

Despite decades of effort, the Collatz conjecture remains neither proved, nor refuted by a counterexample, nor formally shown to be undecidable. This note introduces the Collatz problem and probes its logical depth with a test question: can the search space for counterexamples be iteratively reduced, and when would it help?

How it got here

How it got hereimport via bibtex
Added2026-08-07 00:00 UTC
Not denied bya person 2026-10-29 17:12 UTC

Filed under

drheap simple-to-state-and-unsettled

Cite it as

@article{clay2023long,
  title        = {The Long Search for Collatz Counterexamples},
  author       = {Oliver Clay},
  year         = {2023},
  journal      = {Journal of Humanistic Mathematics},
  publisher    = {Claremont Colleges Library},
  volume       = {13},
  number       = {2},
  pages        = {199--227},
  doi          = {10.5642/jhummath.yqho7207},
}

This record lives at https://refs.drheap.org/clay2023long/ and will keep doing so.