The π Sniper: Unveiling Digits with The BBP Formula and The PSLQ Algorithm
This project delves into an innovative approach for calculating arbitrary digits of π, moving beyond the traditional sequential methods. By offering an insightful proof of the BBP Formula and dissecting the PSLQ Algorithm, we unveil a mechanism to compute π's digits, notably in hexadecimal. Through strategic matrix manipulations within the PSLQ Algorithm, and exploring the Modulo Operation's role, we overcome computational challenges, successfully implementing the algorithm in Mathematica. This endeavor not only uncovers a novel facet of π but also pays homage to the mathematicians behind the formula, enriching the discourse around this enigmatic constant.
