M000000098

$$\pi=1036\arctan\left(\frac{2}{4989}\right)+5760\arctan\left(\frac{1}{2673}\right)+7224\arctan\left(\frac{1}{12943}\right)+3184\arctan\left(\frac{1}{427682}\right)+1592\arctan\left(\frac{1}{721618}\right)+5916\arctan\left(\frac{2}{2885139}\right)-732\arctan\left(\frac{1}{1610057}\right)-4120\arctan\left(\frac{1}{103224943}\right)$$
Compact formula1036[4989/2] + 5760[2673] + 7224[12943] + 3184[427682] + 1592[721618] + 5916[2885139/2] - 732[1610057] - 4120[103224943]
Lehmer's measure1.62590
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 15 August 2006.]