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Analysis of Multiplication Tables by Sum, Difference and Product: A New Approach to Primality
Department of Civil Engineering, Gamal Abdel Nasser University of Conakry, Conakry, Guinea
- 1 Department of Civil Engineering, Gamal Abdel Nasser University of Conakry, Conakry, Guinea
Advances in Pure Mathematics·Volume 15 (2025)·Pages 505–517·Published 8 August 2025·DOI10.4236/apm.2025.158025
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Abstract
This paper systematically studies the properties of multiplication tables through three fundamental operations: Σ T , Δ T , Π T . We show how these operations reveal deep arithmetic structures, leading to an innovative primality test. A logarithmic version optimizes computations for very large numbers. Applications are proposed in algorithmic and mathematics education.
KeywordsMultiplication TablesSumDifferenceProductPrimalityLogarithmFactorialPrimoriel
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