M000073

$$\pi=508\arctan\left(\frac{1}{239}\right)+512\arctan\left(\frac{1}{515}\right)+240\arctan\left(\frac{1}{11432}\right)+112\arctan\left(\frac{2}{81487}\right)-336\arctan\left(\frac{1}{173932}\right)+240\arctan\left(\frac{1}{2456007}\right)$$
Compact formula508[239] + 512[515] + 240[11432] + 112[81487/2] - 336[173932] + 240[2456007]
Lehmer's measure1.59986
References
MRW (***) (full reference coming soon)