TITLE:
Analysis of Multiplication Tables by Sum, Difference and Product: A New Approach to Primality
AUTHORS:
Gnouma Jérôme Kadouno
KEYWORDS:
Multiplication Tables, Sum, Difference, Product, Primality, Logarithm, Factorial, Primoriel
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.15 No.8,
August
8,
2025
ABSTRACT: This paper systematically studies the properties of multiplication tables through three fundamental operations:
ΣT
,
ΔT
,
ΠT
. 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.