Machin-like formulae
M000184
$$\pi=352\arctan\left(\frac{1}{172}\right)+204\arctan\left(\frac{1}{239}\right)+128\arctan\left(\frac{1}{682}\right)+176\arctan\left(\frac{1}{5357}\right)+272\arctan\left(\frac{1}{12943}\right)$$
Compact formula
352[172] + 204[239] + 128[682] + 176[5357] + 272[12943]
Lehmer's measure
1.73202
References
STØRMER (1896)(¢¢2.30154)
(full reference coming soon)