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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 ... |
| © 2005 by JVSchmidt |