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Question Number 153899 by mathdanisur last updated on 11/Sep/21

$$\mathrm{Determine}\mathrm{whether}\mathrm{there}\mathrm{exists}2016$$$$\mathrm{distinct}\mathrm{prime}\mathrm{numbers}{\mathrm{p}}_1,{\mathrm{p}}_2,...,{\mathrm{p}}_{2016}$$$$\mathrm{and}\mathrm{positive}\mathrm{integer}\mathbf{n}\mathrm{such}\mathrm{that}:$$$$\underset{\mathbf{i}=1}{\sum ^{2016}}\frac{1}{{\mathrm{p}}_{\mathbf{i}}^2+1}=\frac{1}{{\mathrm{n}}^2}$$

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