TOO EASY

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MATHPRITOM
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TOO EASY

Unread post by MATHPRITOM » Tue Feb 21, 2012 2:21 am

Show that, the number of prime numbers form 1 to 2n are not greater that n .

sakibtanvir
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Re: TOO EASY

Unread post by sakibtanvir » Tue Feb 21, 2012 10:48 am

Really it is sooo easy.I thought about a minute to get the approach... :D
Hint:
Find the properties of prime numbers.
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nafistiham
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Re: TOO EASY

Unread post by nafistiham » Tue Feb 21, 2012 2:25 pm

from $1$ to $2n$, half numbers are divisible by $2$ and $1$ is not prime.
\[\sum_{k=0}^{n-1}e^{\frac{2 \pi i k}{n}}=0\]
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Re: TOO EASY

Unread post by Phlembac Adib Hasan » Tue Feb 21, 2012 8:23 pm

Go to Too easy (Advanced) for general discussion.
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