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Number Theory
Level
2
Let \(n\) be a positive integer such that
\(a^{3}+b^{3}=n\)
\(c^{3}+d^{3}=n\)
Where \(a\), \(b\), \(c\) and \(d\) are distinct, positive integers. What is the smallest possible value of \(n\)?
by
Finn Hulse