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Conjecture

Goormaghtigh Conjecture

Number Theory

The Goormaghtigh conjecture is a conjecture in number theory named for the Belgian mathematician Rene Goormaghtigh, concerning the solutions of an exponential Diophantine equation. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/

Facts
Proposed Year
1917 1
Progress Toward Resolution
The conjecture has been subject to extensive computer supported solution search, especially in small cases. 1
Classification
Resolution Status
Open 1
Prize Status
Prize Status (category)
No Prize Offered 1
Connections

In Branch

Source Goormaghtigh Conjecture (Wikipedia)
Sources
1. Goormaghtigh Conjecture (Wikipedia)
Wikimedia Foundation
  • Lead section
    Goormaghtigh, Rene. L'Intermediaire des Mathematiciens 24 (1917), 88
  • Partial results
    The conjecture has been subject to extensive computer supported solution search, especially in small cases
  • In Branch: Number Theory, Lead sentence
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