Thread: show the number is not integer

Let n be a positive integer. Show that the number S=1+1/2+1/3+...+1/n is not an integer.

Originally Posted by mandy123

Let n be a positive integer. Show that the number S=1+1/2+1/3+...+1/n is not an integer.

this was a problem of the week (we need $\displaystyle n \ge 2$), see here