MathDB

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Part of 2013 Philippine MO

Problems(1)

PMO Finals #1

Source:

2/3/2013
1. Determine, with proof, the least positive integer nn for which there exist nn distinct positive integers, (1−1x1)(1−1x2)......(1−1xn)=152013\left(1-\frac{1}{x_1}\right)\left(1-\frac{1}{x_2}\right)......\left(1-\frac{1}{x_n}\right)=\frac{15}{2013}