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Problem of the Day #186: Squares September 21, 2011

Posted by Seungln in : potd , trackback

$365$ is an interesting number because it can be expressed as a sum of three consecutive squares ($10^2 + 11^2 + 12^2$) AND as a sum of two consecutive squares ($13^2 + 14^2$). What is the next biggest integer for which this property can happen?

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