Why only 25? You can create all natural numbers using four 4's. This is also called the four fours riddle :
[math]\displaystyle\text{log}_{\frac{\sqrt{4}}{4}}\big(\text{log}_4\underbrace{\sqrt{\sqrt{\sqrt{\cdots4}}}}_n\big)=n[/math]
So what does it do? First of all, let's tackle the part within th...
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