M000158

$$\pi=-3324800\arctan\left(\frac{1}{1984933}\right)+8290744\arctan\left(\frac{1}{2478328}\right)+2018720\arctan\left(\frac{1}{3449051}\right)+6197876\arctan\left(\frac{1}{4417548}\right)-1933364\arctan\left(\frac{1}{8188568}\right)-2373800\arctan\left(\frac{1}{18975991}\right)+247656\arctan\left(\frac{1}{22709274}\right)-965656\arctan\left(\frac{1}{24208144}\right)-3166476\arctan\left(\frac{1}{25010458}\right)-503572\arctan\left(\frac{1}{201229582}\right)+2476996\arctan\left(\frac{1}{920031582}\right)-865232\arctan\left(\frac{1}{2189376182}\right)-2476996\arctan\left(\frac{1}{7618123007816836107}\right)$$
Compact formula- 3324800[1984933] + 8290744[2478328] + 2018720[3449051] + 6197876[4417548] - 1933364[8188568] - 2373800[18975991] + 247656[22709274] - 965656[24208144] - 3166476[25010458] - 503572[201229582] + 2476996[920031582] - 865232[2189376182] - 2476996[7618123007816836107]
Lehmer's measure1.69922
References
MRW (09Nov03)(*1.82160, ΒΆΒΆ1.89266) (full reference coming soon)