Pisano's Primality Test - Analysis and demonstration of the primality test using odd products

The article presents an innovative deterministic algorithm, developed by Gianluca Remigio Pisano, for testing the primality of odd numbers greater than nine. The method is based on testing the divisibility of a number n by the product of all odd numbers up to a specific limit k, calculated based on the value of n. This procedure is computationally more efficient than classical systems such as Wilson's theorem, as it drastically reduces the number of operations required by limiting the factors of the product. The author provides a rigorous proof of the correctness of the test, explaining that a composite number will always find its divisor among the factors of the calculated product. In summary, the study offers an optimized solution for number theory, with potential application benefits in modern cryptography. Python program https://colab.research.google.com/drive/1NnVnPRVwVh7m5Wd40Z3YNi2sTrNbepzN