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Question Number 21229 by Tinkutara last updated on 16/Sep/17

$$\mathrm{Let}p,q\mathrm{be}\mathrm{prime}\mathrm{numbers}\mathrm{such}\mathrm{that}$$$$n^{3pq}-n\mathrm{is}\mathrm{a}\mathrm{multiple}\mathrm{of}3pq\mathrm{for}\mathbf{all}$$$$\mathrm{positive}\mathrm{integers}n.\mathrm{Find}\mathrm{the}\mathrm{least}$$$$\mathrm{possible}\mathrm{value}\mathrm{of}p+q.$$

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