Fermat's Last Theorem and the Golden Mean
DOI:
https://doi.org/10.31542/kbkhxt80Abstract
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.
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Copyright (c) 2025 Chris Dela Cruz, Leif Fitzsimmons Frey, Tom Luu

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