olymmath

CL-MO 2021 Problem 1

    Consider the sequence of numbers defined by a1=7a_1 = 7 , a2=77a_2 = 7^7 , ...... , an=7an−1a_n = 7^{a_{n-1}} for n≥2n \ge 2 . Determine the last digit of the decimal representation of a2021a_{2021} .

    Dataset text AI-MO AoPS. Quoted with source.

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