M000003511

$$\pi=-16\arctan\left(\frac{1}{3}\right)+32\arctan\left(\frac{1}{5}\right)+32\arctan\left(\frac{1}{21}\right)+16\arctan\left(\frac{1}{23}\right)-16\arctan\left(\frac{1}{38}\right)+16\arctan\left(\frac{1}{83}\right)-8\arctan\left(\frac{1}{478}\right)+4\arctan\left(\frac{1}{54608393}\right)$$
Compact formula- 16[3] + 32[5] + 32[21] + 16[23] - 16[38] + 16[83] - 8[478] + 4[54608393]
Lehmer's measure6.67378