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NL-NWO 1979 Problem 3

    Define a1=1979a_1 = 1979 and an+1=9ana_{n+1} = 9^{a_n} for n=1,2,3,...n = 1,2,3,... . Determine the last two digits of a1979a_{1979} .

    Dataset text AI-MO AoPS. Quoted with source.

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