A New Arithmetic Complexity Metric for Lehmer's Problem: Experimental Evidence from the Fermat-Brahmagupta Theorem and Scholz Conjectures

Key Points

• The experimental evidence suggests a novel arithmetic complexity metric relevant to Lehmer's Problem.
• Key outcomes reveal significant insights derived from the Fermat-Brahmagupta Theorem and Scholz Conjectures.
• Assessment of mathematical approaches includes rigorous evaluations and theoretical implications for future research.
• The findings support broader applications of the metric, advancing the understanding of complex arithmetic problems.