Skip to main navigation Skip to search Skip to main content

The Long Search for Collatz Counterexamples

Research output: Contribution to JournalResearch Article

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?
Translated title of the contributionLa larga búsqueda de contraejemplos de Collatz
Original languageEnglish
Pages (from-to)199-227
Number of pages29
JournalJournal of Humanistic Mathematics
Volume13
Issue number2
DOIs
StatePublished - Jul 2 2023

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

  1. SDG 3 - Good Health and Well-being
    SDG 3 Good Health and Well-being

All Science Journal Classification (ASJC) codes

  • Microbiology (medical)
  • Analysis

Fingerprint

Dive into the research topics of 'The Long Search for Collatz Counterexamples'. Together they form a unique fingerprint.

Cite this