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2. MODULAR CUBIC SEQUENCE PATTERN AND ITS APPLICATION TO THE DIOPHANTINE EQUATION X^3 + Y^3 + Z^3 = K

Author

Eduardo Acuña, Samuel Flores, Paul Marrero, and Marrero Romero, Paul F.

Subjects
Abstract algebra, sum of three cubes, Number theory, Diophantine Equations, Integer set structure, [MATH] Mathematics [math], Integer sequences, diophantine, Mathematical algorithms, [MATH.MATH-NT] Mathematics [math]/Number Theory [math.NT]
Abstract

We propose a new sequence-based algorithm to track and find solutions to the Diophantine equation $X^3+Y^3+Z^3=k$, for a fixed integer $k > 0$. &nbsp

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