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Topic: An Unsolved Problem of Mine #2
Replies: 1   Last Post: Nov 23, 2000 8:28 PM

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Hugo van der Sanden

Posts: 234
Registered: 12/8/04
Re: An Unsolved Problem of Mine #2
Posted: Nov 23, 2000 8:28 PM
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Leroy Quet wrote:
>
> Let s_m = sum_{k=1}^m [1/k^2].
> Now, s_m is a square of a rational for m = 1 and 3.
> Is it a rational squared for any other m?
> If so, are there an infinite number of m which lead to s_m = square of
> rational?


For what it's worth, no other square appears for m <= 100000.

Hugo







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