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Puzzles

Never an integer

Prove that $1+\frac{1}{2}+\frac{1}{3}+...+\frac{1}{n}$ is never an integer for any $n>1$

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Comments

dee	15:54:32, 01 Apr 08
Maths Geek Group:Moderator Points: 744 Posts: 305 Warn level: 0	I'd guess the proof is by induction.

terveloc	09:40:56, 20 Nov 07
Newbie Group:Members Points: 0 Posts: 5 Warn level: 0	This is a good one. I know that it's true from analysis, but I don't remember how to prove it.