# A number Theory question on reaching 100,000 points

Find the least positive integer $$n$$ for which there exists a set $$\{\ s_{1}, s_{2}, . . . , s_{n}\}$$ consisting of $$n$$ distinct positive integers such that

$\large{\left( 1-\frac { 1 }{ { s }_{ 1 } } \right) \left( 1-\frac { 1 }{ { s }_{ 2 } } \right) \cdots \cdots \left( 1-\frac { 1 }{ { s }_{ n } } \right) =\frac { 42 }{ 2010 } }$

Bonus:- Prove it's unique

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