A Sequential Composite Decomposition for Approximating the Prime Counting Function with Error Analysis

This record corresponds to the published article: Nisarga S (2026), "A Sequential Composite Decomposition for Approximating the Prime Counting Function with Error Analysis", International Journal of Innovative Research in Technology (IJIRT), Volume 12, Issue 12, pages 800–802. The work introduces a sequential composite decomposition method for approximating the prime counting function π(x) by assigning each composite number to its smallest prime factor, thereby avoiding full inclusion–exclusion expansion. An associated error term is derived based on neglected higher-order prime product contributions. This version represents the published journal article. The original preprint is available as version 1 on Zenodo.