This video describes the simplest proof of the Twin Prime and Polignac's conjectures, showing there are an infinite (unending) number of prime pairs that differ by any even value n. It uses Prime Generator Theory (PGT) to develop the mathematical framework of Prime Generator (PGs), which are comprised of residues which generate the primes. Each PG has a fundamental Prime Generator Sequence (PGS), which is their characteristic gap spacing between the residues, which have a mirror image symmetry distribution. As each PGs modulus becomes larger, they contain an always increasing number of residues gaps, old ones from smaller PGs, and new larger ones as the primes get farther apart on average, but form in clusters of primes in close proximity. The video is meant to be accessible for people without a formal background in math, and uses a plethora of pictures, diagrams, and graphs to show and explain the math in a user friendly manner.

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