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Question Number 164875 by HongKing last updated on 22/Jan/22

$$\mathrm{Solve}\mathrm{for}\mathrm{natural}\mathrm{numbers}:$$$$\mathit{\phi }\left(\mathbf{n}\right)\cdot \mathit{\phi }(\mathbf{n}+1)=288\mathbf{n}$$$$\mathit{\phi }-{\mathrm{Euler}}^{\prime }\mathrm{s}\mathrm{totient}\mathrm{function}$$

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