M000041

$$\pi=2324\arctan\left(\frac{1}{1023}\right)+732\arctan\left(\frac{1}{1710}\right)+2656\arctan\left(\frac{1}{5832}\right)-1416\arctan\left(\frac{1}{110443}\right)-1464\arctan\left(\frac{2}{2513489}\right)+1416\arctan\left(\frac{1}{4841182}\right)+332\arctan\left(\frac{1}{6826318}\right)$$
Compact formula2324[1023] + 732[1710] + 2656[5832] - 1416[110443] - 1464[2513489/2] + 1416[4841182] + 332[6826318]
Lehmer's measure1.56525
References
MRW (***) (full reference coming soon)