IMO 1992 LL IND30

Let Pn = (19 + 92)(192 + 922) \cdot \cdot \cdot (19n + 92n) for each positive

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IMO 1992 LL IND30

Origin: IND

Problem

Let Pn = (19 + 92)(192 + 922) \cdot \cdot \cdot (19n + 92n) for each positive integer n. Determine, with proof, the least positive integer m, if it exists, for which Pm is divisible by 3333.