M000287

$$\pi=98056651974\arctan\left(\frac{1}{138873731225}\right)+34542086894\arctan\left(\frac{1}{148431551771}\right)+213541933371\arctan\left(\frac{1}{168722145007}\right)+267981478931\arctan\left(\frac{1}{202954204459}\right)-21208528933\arctan\left(\frac{1}{221943811240}\right)+77548368872\arctan\left(\frac{1}{261002206018}\right)-146236694042\arctan\left(\frac{1}{269007136889}\right)-196034115443\arctan\left(\frac{1}{548275361132}\right)+90062951177\arctan\left(\frac{1}{656902304557}\right)+138424955237\arctan\left(\frac{1}{662573197307}\right)-235041346358\arctan\left(\frac{1}{1372432573478}\right)+185529697692\arctan\left(\frac{1}{2105653391693}\right)+363373680417\arctan\left(\frac{1}{3761284561432}\right)+184325504911\arctan\left(\frac{1}{5142102426318}\right)+90267693380\arctan\left(\frac{1}{5745192731179}\right)-407688507599\arctan\left(\frac{2}{13078246979509}\right)-146787647436\arctan\left(\frac{1}{10892900268195}\right)-302961914817\arctan\left(\frac{1}{17780261434697}\right)-31984026331\arctan\left(\frac{1}{38759264489343}\right)-131920113363\arctan\left(\frac{1}{165171481279982}\right)+31828326787\arctan\left(\frac{1}{169838669284032}\right)-297651998354\arctan\left(\frac{1}{772654028018543}\right)-110436924616\arctan\left(\frac{1}{1948025182233307}\right)+97212090152\arctan\left(\frac{1}{1976865441422893}\right)$$
Compact formula98056651974[138873731225] + 34542086894[148431551771] + 213541933371[168722145007] + 267981478931[202954204459] - 21208528933[221943811240] + 77548368872[261002206018] - 146236694042[269007136889] - 196034115443[548275361132] + 90062951177[656902304557] + 138424955237[662573197307] - 235041346358[1372432573478] + 185529697692[2105653391693] + 363373680417[3761284561432] + 184325504911[5142102426318] + 90267693380[5745192731179] - 407688507599[13078246979509/2] - 146787647436[10892900268195] - 302961914817[17780261434697] - 31984026331[38759264489343] - 131920113363[165171481279982] + 31828326787[169838669284032] - 297651998354[772654028018543] - 110436924616[1948025182233307] + 97212090152[1976865441422893]
Lehmer's measure1.91684
References
MRW (21Aug02)(ΒΆΒΆ2.00706) (full reference coming soon)