Chudnovsky Algorithm
The Chudnovsky Algorithm is a fast method for calculating the digits of π (pi). Developed by the Chudnovsky brothers, it uses a series of mathematical formulas involving factorials and powers to converge rapidly to π. This algorithm is particularly efficient for computing millions of digits, making it popular in high-precision calculations.
The algorithm is based on the theory of hypergeometric series and employs modular arithmetic to enhance performance. Its rapid convergence means that only a few terms are needed to achieve a high level of accuracy, which is why it is often used in computer programs designed for π calculations.