BdMO National 2012: Primary 10

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Zzzz
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BdMO National 2012: Primary 10

Unread post by Zzzz » Sun Feb 12, 2012 1:59 pm

Problem 10:
Tusher chose some consecutive numbers starting from $1$. He noticed that the least common multiple of those numbers is divisible by $100$. What is the minimum number of numbers he chose?
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nafistiham
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Re: BdMO National 2012: Primary 10

Unread post by nafistiham » Fri Feb 17, 2012 4:15 pm

\[\sum_{k=0}^{n-1}e^{\frac{2 \pi i k}{n}}=0\]
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