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October 22, 2025Pure and Applied Mathematics JournalOpen Access

On a Family of Congruent Numbers Defined Modulo 72: A Conjectural Study

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KVKouakou Vincent

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Overview

Analysis shows modular residues impact representation of integers as cube sums, suggesting applications in congruent number theory.

Key Points

  • Analysis reveals the impact of modular residues on sums of cubes, emphasizing the role of the Chinese Remainder Theorem.
  • In this framework, integers are classified based on their modular conditions, particularly residues of 8 and 9.
  • Computational methods are utilized to examine explicit cube decompositions among the identified residues.
  • This work highlights connections within the theory of congruent numbers and could enhance future investigations in modular arithmetic.

Cite This Study

Kouakou Vincent (2025) studied this question.

synapsesocial.com/papers/69254f92c0ce034ddc359c2chttps://doi.org/10.11648/j.pamj.20251405.16
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