Fermat's Last Theorem and the Golden Mean
Faculty Advisor
Date
2025
Keywords
Diophantine equations, Fermat's Last Theorem, ring Z[tau], the golden mean, algorithm and solutions
Abstract (summary)
We attempt to find solutions to the Diophantine equations from Fermat's Last Theorem in the ring Z[tau], where tau is the golden mean. We begin with the case when n=3 and create an algorithm to generate solutions to the equation. Out of these solutions, we have found only four to be primitive. Also, we attempt to find solutions under higher powers greater than three but have not found any solutions in such cases. The algorithm and solutions themselves are all provided in the paper.
Publication Information
Dela Cruz, C., Fitzsimmons Frey, L., & Luu, T. (2025). Fermat’s Last Theorem and the Golden Mean. MacEwan University Student EJournal, 9(1). https://doi.org/10.31542/kbkhxt80
Notes
Item Type
Student Article
Language
Rights
Attribution-NonCommercial (CC BY-NC)
