Representation of numbers with three 5's
| 1 | √5·√5/5=(5·5)&5 |
| 2 | (5+5)/5 |
| 3 | √5·√5-[√5] = 5·.5 + .5 (2) |
| 4 | 5-5/5 |
| 5 | 5·5/5=5/.5-5 |
| 6 | 5+5/5=5+.5+.5 |
| 7 | √5·√5+[√5] |
| 8 | 5/.5-[√5] |
| 9 | √5·√5/.(5) |
| 10 | √5·√5/.5=5<<(5/5) |
| 11 | 55/5 |
| 12 | 5/.5+[√5] |
| 13 | [√5+5·√5] |
| 14 | 5/.(5)+5 |
| 15 | 5+5+5 |
| 16 | 5!!+5/5 |
| 17 | 5!!+[5/√5] |
| 18 | 5!!+5-[√5] |
| 19 | 5!!+5-[√√5] |
| 20 | 5!!+√5·5] |
| 21 | 5!!+5+[√√5] |
| 22 | 5!!+5+[√5]=[5·5-√5] |
| 23 | 5·5-[√5] |
| 24 | (5-5/5)! |
| 25 | 5!! + 5 + 5(1) |
| 26 | 5·5+[√√5] |
| 27 | 5·5+[√5] |
| 28 | [√5]·[√5! + √(√5!)](3) |
| 29 | [5·5·√√√√√5!](3) = 5!/5 + 5(3) |
| 30 | 5·5+5 |
| 31 | 31=[(√5! + 5) * [√5]](3) |
| 32 | 5!!/.(5)+5 |
(1) By Andre Gustavo dos Santos, Brasil
(3) By Iulianos Kakulidis, Greece
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