Thursday 23 January 2014

a, b, c, d, e, f, g, h, i, j are all distinct

Is there a 14-digit perfect square of the form 2013abcdefghij, 
where a, b, c, d, e, f, g, h, i, j are all distinct?
at
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Define \(f: \mathbb{R} \rightarrow \mathbb{R}\) by \[f(x)= \begin{cases}(1-\cos x) \sin \left(\frac{1}{x}\right), & x \neq 0 \\ 0, &a...