Archivos de Ciencia e Investigación(ADCI)
ISSN: 3068-014X | DOI: 10.33140/ADCI
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From the Pythagorean Dream to the Fermatian Obstruction: Symbolic Representation of h=3√(a3+b3 ) via an Identity Derived from Nicomachus’ Cumulative Sum
Abstract
Ibar Federico Anderson
This work rigorously explores the conceptual transition between Pythagorean harmony h2=a2+b2 and Fermatian impossibility h3≠a3+b3, explicitly acknowledging that Fermat’s Last Theorem (FLT) prohibits integer solutions for n=3.