M000300

$$\pi=148082715968\arctan\left(\frac{2}{112899039159}\right)+79474421116\arctan\left(\frac{2}{130869454251}\right)-43847438008\arctan\left(\frac{1}{117791038799}\right)+98679610364\arctan\left(\frac{1}{142140039332}\right)+28991247784\arctan\left(\frac{1}{208666916697}\right)-210478359256\arctan\left(\frac{1}{225891903693}\right)-67940530208\arctan\left(\frac{1}{324363564309}\right)+91999518444\arctan\left(\frac{1}{554317058118}\right)-108141501768\arctan\left(\frac{1}{579766497643}\right)-49571014096\arctan\left(\frac{2}{1559713395133}\right)+98652326192\arctan\left(\frac{1}{821345641657}\right)-30320324920\arctan\left(\frac{1}{868814411577}\right)-6389232444\arctan\left(\frac{1}{3737240479718}\right)-57139965352\arctan\left(\frac{1}{4559728967067}\right)+27906320800\arctan\left(\frac{2}{14769089846839}\right)+94348726144\arctan\left(\frac{1}{8256835333313}\right)-3319338608\arctan\left(\frac{1}{10041983931693}\right)-154801671404\arctan\left(\frac{1}{11830545643782}\right)-54562364972\arctan\left(\frac{1}{28148191112477}\right)-86907186728\arctan\left(\frac{1}{29676519680807}\right)+55869476500\arctan\left(\frac{1}{69971515635443}\right)-99425493864\arctan\left(\frac{1}{192126409878994}\right)-13632714160\arctan\left(\frac{1}{7474541196075273}\right)-78532781636\arctan\left(\frac{1}{24412992821228897}\right)$$
Compact formula148082715968[112899039159/2] + 79474421116[130869454251/2] - 43847438008[117791038799] + 98679610364[142140039332] + 28991247784[208666916697] - 210478359256[225891903693] - 67940530208[324363564309] + 91999518444[554317058118] - 108141501768[579766497643] - 49571014096[1559713395133/2] + 98652326192[821345641657] - 30320324920[868814411577] - 6389232444[3737240479718] - 57139965352[4559728967067] + 27906320800[14769089846839/2] + 94348726144[8256835333313] - 3319338608[10041983931693] - 154801671404[11830545643782] - 54562364972[28148191112477] - 86907186728[29676519680807] + 55869476500[69971515635443] - 99425493864[192126409878994] - 13632714160[7474541196075273] - 78532781636[24412992821228897]
Lehmer's measure1.93259
References
MRW (8Aug06) (full reference coming soon)