M000000104

$$\pi=332\arctan\left(\frac{1}{239}\right)+576\arctan\left(\frac{1}{437}\right)+176\arctan\left(\frac{1}{580}\right)+224\arctan\left(\frac{1}{1710}\right)-48\arctan\left(\frac{2}{2513489}\right)$$
Compact formula332[239] + 576[437] + 176[580] + 224[1710] - 48[2513489/2]
Lehmer's measure1.63430
References
Wetherfield, Michael Roby and Chien-Lih, Hwang. Computing pi: Lists of Machin-type (inverse cotangent) identities for pi/4, [Online; accessed 04-February-2024], 2013. [web.archive.org/web/20240204042153/http] [Found by MRW on 11 February 2004.]