# Find every integer k s.t. k>=3 and k-2 divides 2k

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• Mar 19th 2009, 11:22 PM
qtpipi
Find every integer k s.t. k>=3 and k-2 divides 2k
Find every integer k s.t. k>=3 and k-2 divides 2k

Any help?
• Mar 20th 2009, 01:30 AM
clic-clac
Hi

You can use this: let $n,m$ be two different positive integers, $n|m$ iff there is an integer $k\geq 2$ such that $n=km$.
So, with the same hypothesis, $n|m\Rightarrow n\leq \frac{m}{2}$