MAX Prime Theory (Mathematical Approach to eXploring Primes) is an innovative approach to prime number generation. It utilizes a generative function combined with pre-applied modular filters to select a subset of candidates enriched in prime numbers compared to traditional estimates. This method, backed by rigorous proofs and experiments, optimizes the process by reducing computational load and increasing the efficiency in finding prime numbers.

MAX Key (Mathematical Applied to eXcryption) extends these principles to cryptography. Instead of transmitting keys or using pre-shared secrets, MAX Key autonomously generates cryptographic keys synchronized across devices. Thanks to dynamic parameters and a solid mathematical foundation, the system ensures high security—even against potential quantum attacks—and is ideal for distributed environments and low-resource devices.