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December 14th, 2008, 01:32 PM   #1
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Sum of reciprocals of distinct squares of integers

In 1963 R,, Graham proved that any rational number between 0 and pi^2/6 - 1 can be expressed as finite sum of reciprocals of distinct squares of integers.
The proof is quite long and not elementary.
I am just wandering is there elegant elementary proof for some rational number of specific form, for example in form 1/p or 1p^2?
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