PI Through The Years It is an interessting puzzle to combine the digits of PI = 3.14 15 92 65 35 89 79 32 38 46 26 43 38 32 79 50 28 84 19 71 69 39 93 75 10 ... using math operaters like "+","-","x","/","SQRT","!" and brackets to reach a special result. Can you express the current year this way? Can you find extremly short presentations? If you have any interesting solutions pls. send it to jvs@piworld.de

 Year Solution Digits Operat.Brack. Author/Comment 2006 = (31 * 4 - 1 - 5) * (9 + 2 + 6) 8 7 (31 * 4 + 1) * (5 + 9 + 2) + 6 8 7 (3 + 14) * 1 * 59 * 2 7 5 (31 + 4 - 1) * 59 6 4 2005 = (31 + 4) * ( -1 + 59) + 2 - 6 * 5 + 3 10 9 31 * (4 - 1)! + 59 - 2 - 6 - 5 + 3 10 9 (3 + 1 + 4 + 159) * 2 * 6 - 5 + 3! 10 9 (3 + 141) * (5 + 9) - 26 + 5 * 3 10 8 (31 + 41) * (5 + 9) * 2 - 6 - 5 9 8 (31 + 4 - 1) * 59 - 2 + 6 - 5 9 7 31 * (4 + 1 + 59) + 26 - 5 9 6 2004 = (3 + 1 + 4 + 159) * 2 * 6 8 6 2004 is a kind number, really. 2003 = 314 + 1592 + 65 + 3 x 5 + 8 + 9 13 6 Bernhard Gnahm / Straight, only x and + operations 3141 x 5 / 9 + 265 - 3 x 5 + 8 12 6 Bernhard Gnahm / Only basic operators: Improved, involving / and - 3141 - 5! x 9 - 2 x 6 x 5 - 3 + 5 11 8 Thomas Kaechele / Shortest solution using the number 3141 ((3+1)! x 41 + 5 + 9) x 2 - 6 + 5 + 3 10 11 Gustav Bucher 314 x (15 - 9) + 2 - 6 + 5! + 3 10 8 ((3 - 1) / (4 + 1)) x (-5 + (9 - 2)!) - 6 - 5 9 15 Michael Mohrholz / A nice and short solution using only single digits (-(3-1)! + 4 ^ (1+5) - SQRT(9)!) / 2 - 6 x 5 9 15 Michael Mohrholz / Oh guy, how did you find this solution? (3! + (1 + 4)!) x (1 + 5 x SQRT(9)) - 2 - 6 - 5 9 14 (3! + (1 + 4)!) x (15 + SQRT(9)) - 265 9 11 314 x (1 + 5) - 9 + 2 + 6 + 5! 9 8 (3 x 1)! ^ 4 + (1 + 5)! - 9 + 2 - 6 8 11 Best for 2003 ... 2002 = 3141 - 592 - 653 + 58 + 9 + 7 + 9 + 32 + 3 - 8 - 4 20 10 No record, but can you find a shorter solution only using + and - ??? 31 x 41 + 592 + 6 x 5 x 3 + 5 x 8 + 9 13 8 Straight, only x and + operations 314 x (1 + 5) + 92 + 6 + 5 x 3 + 5 11 8 Better solution using brackets 314 x (1 + 5) + (9 + 2) x (6 + 5) - 3 10 10 More brackets, shorter solution 31 x 41 + 5 + SQRT(9) - 2 + 6! + 5 9 8 Helpful squareroot ((3 + 1)! x 41 + 5 + 9) x 2 + 6 8 9 Best for 2002 ... 2001 = SQRT(3141 - 5) x SQRT(9) x 2 x 6 - 5 x 3 10 8 Two squareroots. -(3 + 1)! - (4 - 1) x 5! + 9 x 265 9 11 Best for 2001 ... 2000 = -(3 + 1)! x 4 + (1 + 5)! x SQRT(9) - 2 ^ 6 8 13 Best for 2000 ...