Title: Prime Numbers and the Periodic Table: A New Interdisciplinary Analysis This report explores a potential connection between the mathematical structure of prime numbers and the organization of the periodic table. By using a three-dimensional prime number spiral analysis, patterns emerge where the distribution of prime numbers correlates with periodic trends in elements. The study shows that when elements are arranged in a prime-based spiral, some fall outside the main sequence, suggesting that prime number expansion might influence atomic stability and placement. This research opens up an interdisciplinary approach between mathematics and chemistry, hinting at fundamental principles that govern the organization of matter. Keywords: Prime Numbers, Periodic Table, Mathematics, Chemistry, 3D Spiral, Elements