👉 FaMath, or Fast Approximation of the Arithmetic-Modular Exponentiation, is an algorithm designed to efficiently compute large powers modulo a given number. It leverages the properties of modular arithmetic and exponentiation to reduce computational complexity, making it feasible to handle very large numbers in a reasonable time. The core idea is to break down the exponentiation into smaller parts using repeated squaring, which significantly cuts down the number of multiplications required. By combining these smaller results with the modulo operation at each step, FaMath ensures that intermediate values remain manageable and accurate, achieving a balance between speed and precision. This makes it particularly useful in cryptographic applications, such as RSA encryption, where large numbers and fast computations are essential.
fa math