Representation of prime numbers on the complex plane

This study proposes a novel representation of prime numbers implying a quasiperiodic pattern. Based on the result that any real number, and conse-quently, a prime number, can be represented in a complex plane using Euler’s notation; we investigated the quantities characterizing the sum of centers, which were observed as prime numbers. The numerical results indicate that prime numbers can be generated by rooting the real numbers, and their progression can be decomposed into periodic sequences. The primary approach involved the implementation of these methods to extract the hidden periodicity in quasi-periodic prime arithmetic progression, which was arranged in a parabolic spiral exhibiting the harmonic pattern.