M000003526
$$\pi=16\arctan\left(\frac{1}{2}\right)-16\arctan\left(\frac{1}{5}\right)+8\arctan\left(\frac{1}{12}\right)-8\arctan\left(\frac{1}{14}\right)-16\arctan\left(\frac{1}{21}\right)-16\arctan\left(\frac{1}{47}\right)-8\arctan\left(\frac{1}{70}\right)+4\arctan\left(\frac{1}{1393}\right)$$