M000000376

$$\pi=40\arctan\left(\frac{1}{22}\right)+28\arctan\left(\frac{1}{41}\right)+48\arctan\left(\frac{1}{75}\right)+8\arctan\left(\frac{1}{4193}\right)$$

Compact formula	`40[22] + 28[41] + 48[75] + 8[4193]`
Lehmer's measure	2.17433
References	Størmer, Carl. Solution complète en nombres entiers m, n, x, y et k de l'équation marctang(1/x) + narctang(1/y) = kπ/4, chapter 11 in Skrifter udgivne af Vidensakbsselskabet i Christiania I. Mathematisk-naturvidenskabelig klasse, 11.1–11.21, 1896. Download references as BibTeΧ