M000000005

$$\pi=332\arctan\left(\frac{1}{107}\right)+68\arctan\left(\frac{1}{1710}\right)-88\arctan\left(\frac{1}{105218}\right)-48\arctan\left(\frac{2}{2513489}\right)-88\arctan\left(\frac{1}{7167807}\right)$$
Compact formula332[107] + 68[1710] - 88[105218] - 48[2513489/2] - 88[7167807]
Lehmer's measure1.31101
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 22 September 2004.]