This paper presents a distinctive prime detection approach. This method use GM-(n+1) sequences to effectively eliminate complex numbers. The sequences, which consist of odd a number of (n+1), exclude all components except for the initial prime integer. Only the first prime number is presented. This research proposes an approach using this model to identify exceptional candidates and examine their distribution. This study examines the interconnections among the laws of division, basic gaps, and their applications in analytical procedures. Computer studies may provide a novel perspective on the theory of prime numbers, demonstrating the effectiveness of this approach in refining the search space for primes.
Fatemah M. Barakat (Mon,) studied this question.