Answer to Question #19301 in Combinatorics | Number Theory for marcus
m numbers between 1 .. n have at least m multiples among n+1 .. 2n, and they are all different.
Since m + k = n +1 and there are only n numbers between n +1.. 2n it is obvious that these two sets (of mulitples and k number from
our n+1) intersect.
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