Current Volume 8
Abstract
I present a novel infinite series representation for ?\pi, which achieves unprecedented convergence speed: approximately one million digits of correct precision after just the first two terms of the series. The formula is based on an intricate factorial ratio combined with a large exponential decay factor and a linear polynomial coefficient. I provide theoretical motivation, derive the key parameters, analyze convergence properties rigorously, and benchmark the formula against classical ? series including Chudnovsky and Ramanujan-type formulas. The formula marks a new frontier in the efficient computation of ?\pi, with potential implications for numerical analysis, high-precision arithmetic, and computational mathematics.
Citations
IRE Journals:
Samprit Sarkar
"A World Record-Breaking Formula For pi: Hyper Accelerated Convergence" Iconic Research And Engineering Journals Volume 8 Issue 12 2025 Page 1228-1231
IEEE:
Samprit Sarkar
"A World Record-Breaking Formula For pi: Hyper Accelerated Convergence" Iconic Research And Engineering Journals, 8(12)
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