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Investigate what happens when you put $n=2$ in the expression. Then try $n=3$, $4$ and $5$.
Shades of Fermat's Last Theorem
Age 16 to 18
Challenge Level 
Investigate what happens when you put $n=2$ in the expression. Then try $n=3$, $4$ and $5$.
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Code to Zero
Find all 3 digit numbers such that by adding the first digit, the square of the second and the cube of the third you get the original number, for example 1 + 3^2 + 5^3 = 135.
