M000000063

$$\pi=2324\arctan\left(\frac{1}{580}\right)-1592\arctan\left(\frac{1}{1710}\right)+332\arctan\left(\frac{1}{5832}\right)+908\arctan\left(\frac{1}{105218}\right)-48\arctan\left(\frac{2}{2513489}\right)+332\arctan\left(\frac{1}{6826318}\right)+908\arctan\left(\frac{1}{7167807}\right)$$
Compact formula2324[580] - 1592[1710] + 332[5832] + 908[105218] - 48[2513489/2] + 332[6826318] + 908[7167807]
Lehmer's measure1.59199
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 Amrik Singh Nimbran on 3 August 2010.]