De la divisibilidad a las ternas pitagóricas: teoremas y formas de generación

This article proposes an innovative approach, from the perspective of divisibility towards the generation of Pythagorean triples, taking the naturals from n=3 and up to infinity and their divisibility characteristics based on their parity to use a, its divisors and quotients in the generation of theorems that allow studying the possible Pythagorean triples that arise from each number n when considering it as a fixed minor leg, in addition a general formula is introduced that allows studying what difference is desired between the major leg to find iterative and easily programmable ways to obtain the generation of Pythagorean triples