M000228

$$\pi=599437000\arctan\left(\frac{2}{2358367931}\right)+2682724352\arctan\left(\frac{1}{1454097393}\right)+1748210480\arctan\left(\frac{1}{1479406293}\right)-251174884\arctan\left(\frac{2}{5493779561}\right)-1711033224\arctan\left(\frac{1}{4038832337}\right)+551178140\arctan\left(\frac{1}{4474115807}\right)+689903552\arctan\left(\frac{1}{6608082112}\right)-856753168\arctan\left(\frac{2}{16758521543}\right)+2183217088\arctan\left(\frac{2}{36523075989}\right)-1818479844\arctan\left(\frac{1}{18710140581}\right)-540597244\arctan\left(\frac{1}{29546599818}\right)-45445864\arctan\left(\frac{1}{38185029043}\right)+8548300\arctan\left(\frac{2}{112899039159}\right)-943345876\arctan\left(\frac{1}{265542904947}\right)-1295883392\arctan\left(\frac{1}{378137211957}\right)+985435188\arctan\left(\frac{1}{3737240479718}\right)+127682688\arctan\left(\frac{1}{11830545643782}\right)+478665032\arctan\left(\frac{1}{46150510628682}\right)+754226992\arctan\left(\frac{1}{69971515635443}\right)$$
Compact formula599437000[2358367931/2] + 2682724352[1454097393] + 1748210480[1479406293] - 251174884[5493779561/2] - 1711033224[4038832337] + 551178140[4474115807] + 689903552[6608082112] - 856753168[16758521543/2] + 2183217088[36523075989/2] - 1818479844[18710140581] - 540597244[29546599818] - 45445864[38185029043] + 8548300[112899039159/2] - 943345876[265542904947] - 1295883392[378137211957] + 985435188[3737240479718] + 127682688[11830545643782] + 478665032[46150510628682] + 754226992[69971515635443]
Lehmer's measure1.79786
References
MRW (9Aug06) (full reference coming soon)